The Tabernacle Tent Net

NC.6.G.4

Identify the unfolded face shapes of these 2D net patterns. Write down their 3D folded solid names:

Day 4 Exercises (5 Questions):

1. Solid: ________________

2. Solid: ________________

• 3. How many faces does a rectangular prism have?

Answer: __________________

• 4. How many triangular faces does a triangular pyramid net have?

Answer: __________________

• 5. True or False: All faces of a cube net must be identical squares.

Answer: __________________

KSR Learning Series © 2026 Page 4 of 10

Temple Craftsmen • Day 5

Wrapping Sacred Objects

NC.6.G.4

Compute total outer surface area (SA). Add base and all surrounding triangle faces.

Day 5 Exercises (5 Questions):

6 cm h=5cm

1. Area of Square Base (6 × 6): ______ cm²

2. Area of 1 Side Triangle (½ × 6 × 5): ______ cm²

3. Area of all 4 triangles (4 × 15): ______ cm²

4. Total SA (Base + 4 Tris) = ______ cm²

• 5. What is the surface area of a cube that has 6 identical square faces, each of area 9 cm²?

Answer: __________________ cm²

KSR Learning Series © 2026 Page 5 of 10

Temple Craftsmen • Day 6

Prism Surface Area

NC.6.G.4

A Prism net has two identical bases and rectangular sides. Add up the area of every single face to find its total surface area!

Day 6 Exercises (5 Questions):

5x3

1. Area of 2 bases (3×2 each): ______ cm²

2. Side pairs A (5×2 each): ______ cm²

3. Side pairs B (5×3 each): ______ cm²

4. Total SA = ______ cm²

• 5. What is the total Surface Area of a cube with side length 4 cm?

Answer: __________________ cm²

KSR Learning Series © 2026 Page 6 of 10

Temple Craftsmen • Day 7

Pyramid Surface Area

NC.6.G.4

A Pyramid net has only one polygon base, and all of its lateral sides are triangles that meet at a point. Add all outer faces!

Day 7 Exercises (5 Questions):

Base

1. Base area (b=8, h=6): ______ cm²

2. Area of 1 side (b=8, h=10): ______ cm²

3. Area of all 3 sides: ______ cm²

4. Total SA = ______ cm²

• 5. Find the Surface Area of a square pyramid with base area 16 cm² and 4 lateral triangles of area 8 cm² each.

Answer: __________________ cm²

KSR Learning Series © 2026 Page 7 of 10

Temple Craftsmen • Day 8

Area vs. Surface Area

NC.6.G.1, G.4

Choose whether to use Area (flat 2D space) or Surface Area (total outer 3D wrapping) for these tasks:

Day 8 Exercises (5 Questions):

• 1. Laying down flat tiles on the temple floor: AREA / SURFACE AREA

• 2. Painting the outside walls of a rectangular prism pillar: AREA / SURFACE AREA

• 3. Putting a gold leaf cover around the entire Arc model: AREA / SURFACE AREA

• 4. Measuring the grassy lawn inside the sanctuary walls: AREA / SURFACE AREA

• 5. Wrapping a pyramid gift box in patterned tapestry: AREA / SURFACE AREA

KSR Learning Series © 2026 Page 8 of 10

Temple Craftsmen • Day 9

Review Stations

NC.6.G.1, G.4

Day 9 Exercises (5 Questions):

1. Slice L-shape (8×10 overall, indented 4×4). Total Area = ______ m²

2. What 3D solid folds from a net with 1 rectangular base and 4 lateral triangles? ______

3. Cube has side length 5 in. What is its total surface area? ______ sq in

4. How many rectangular faces does a triangular prism net have? ______

5. If a prism base has area 12 cm², and its 3 side faces have area 10 cm² each, find total SA: ______ cm²

KSR Learning Series © 2026 Page 9 of 10

Temple Craftsmen • Day 10

Real-World Temple Design

NC.6.G.1, G.4

Performance Task: Design a mini-tabernacle shrine block inside a 10m × 10m lot. Traces its borders, draw its flat 3D net, and compute the total materials wrapping coverage.

Day 10 Exercises (5 Questions):

Part 1: Floor Area

1. Area of 10 × 10 Lot: ______ m²

2. Area of 4 × 4 interior structure: ______ m²

3. Remaining yard area: ______ m²

Part 2: Surface Area

4. Base area of 4 × 4 structure: ______ m²

5. Total SA if 4 lateral triangles are 12m² each: ______ m²

KSR Learning Series © 2026 Page 10 of 10

28 ft 18 ft 8 ft 10 ft

2. To find a missing vertical wall dimension on a blueprint, you should compare other parallel _____________ dimensions.

A Horizontal width B Vertical height C Slanted perimeter D Inner diagonal

3. The left vertical wall of a temple sanctuary is 12 m. A parallel wall segment on the right is 5 m. What is the length of the remaining missing vertical wall segment?

17 m 7 m 5 m 6 m

4. An L-shaped temple room has total width 15 ft and total height 10 ft. The indented corner has dimensions of 5 ft width and 4 ft height. What is the carpet area?

Answer: _______________________ sq ft

5. Calculate the value of missing wall segment Y on this blueprint section:

Total Height = 6cm 2cm Y = ?

Write your math formula:
Y = ______ - ______ = ______

Temple Craftsmen Series Page 3 of 5

Temple Craftsmen Assessment

Day 4 Quiz: Tabernacle Nets

5 Questions • 5 Pts

Craftsman Name: _________________

Date: ________

1. Which 3D geometric solid folds from a net that contains six identical square faces?

A Rectangular Prism B Cube C Square Pyramid D Triangular Prism

2. How many rectangular faces does the flat paper net of a triangular Tabernacle tent have?

2 3 4 5

3. A flat 2D net features 1 central square base and 4 surrounding triangular faces. What 3D solid is formed when folded?

A Triangular Prism B Rectangular Prism C Square Pyramid D Triangular Pyramid

4. A net has a hexagonal base and 6 surrounding triangular faces. What is the specific name of this folded solid?

Answer: _______________________

5. List the shapes of the faces you would need to draw in the flat net of a rectangular sanctuary chest:

Answer list: __________________________________________________________________

Temple Craftsmen Series Page 4 of 5

Temple Craftsmen Assessment

Day 5 Quiz: Tapestry Coverings

5 Questions • 5 Pts

Craftsman Name: _________________

Date: ________

1. What is the fundamental difference between calculating Area versus calculating Surface Area of an object?

A Area is 3D, Surface Area is 2D B Area is for flat 2D shapes, Surface Area is for 3D solids C Area uses cubic units, Surface Area uses linear units D There is no difference

2. A wooden toy altar block is a perfect cube with a side length of 3 inches. What is its total surface area?

9 sq in 27 sq in 54 sq in 36 sq in

3. A triangular altar's net is composed of three rectangles (areas = 15, 15, and 15) and two triangles (areas = 6 and 6). What is its total Surface Area?

45 51 57 60

4. A cardboard square pyramid box has a base side length of 4 cm and lateral triangle heights of 6 cm. What is its total surface area?

Answer: _______________________ sq cm

5. Why are surface area answers always written in square units (like cm²) even though they describe 3D solids?

Write your explanation here...

Temple Craftsmen Series Page 5 of 5

Teacher Feedback Comments: ________________________________________________________________________________
___________________________________________________________________________________________________________

KSR Learning Series © 2026 Page 1 of 1

• Check: Use the 4-part rubric (diagram, partition, math, units).

Game operating checklist:

• • 10-15 minute limit: Keep a visual countdown timer on the screen.
• • No guess rule: Do not award tokens or points until students explain their thinking.
• • Reteach Pulls: As you circulate, pull struggling students for 2-minute whiteboard help.

KSR Learning Series © 2026 Page 2 of 2

Use these quick follow-up questions to check if students actually understand the concepts behind their arithmetic:

• • "What did you slice?" (Force them to describe the sub-rectangles).
• • "Is there another way?" (Encourage alternative horizontal/vertical splits).
• • "What do those flat triangles fold to make?" (Verify 3D visualization).
• • "Why are your units squared?" (Emphasize flat coverage vs. linear lines).

KSR Learning Series © 2026 Page 2 of 2

17. A net with 1 central square and 4 identical lateral triangles: __________________

18. A net featuring 3 rectangles and 2 congruent triangles on the bases: __________________

19. A net featuring 1 central hexagon and 6 congruent surrounding triangles: __________________

20. A net featuring 6 rectangular faces, where opposite pairs match size: __________________

Drill 4: Surface Area Calculations (5 Questions)

Calculate the total outer surface area (SA) for each described 3D solid pattern:

21. Cube SA:
Side length = 4 in. (6 faces, each face area = 16 sq in)

______ sq in

22. Rectangular Chest SA:
6 faces. Areas of matching pairs: 2 × 12, 2 × 15, 2 × 20.

______ sq in

23. Tabernacle Tent SA:
3 rectangles (areas: 24, 24, 24) and 2 triangles (areas: 6, 6).

______ sq in

24. Square Pyramid SA:
1 square base (area = 25) and 4 triangles (each triangle area = 10).

______ sq in

25. Large Cube SA:
Side length = 10 cm. (6 faces, each face area = 100 sq cm)

______ sq cm

KSR Learning Series © 2026 Page 2 of 2

• Workbook Day 3: X = 13-6 = 7 ft. Y = 8-4 = 4 ft. Total Area = 80 ft².

• Workbook Day 4: Net A (Cube), Net B (Tri Prism), Net C (Pyramid).

• Workbook Day 5: Prob 1 (Tri Prism) = 72 in². Prob 2 (Pyramid) = 96 cm².

• Quiz 1: 1.B | 2.24m² | 3.FALSE | 4.50 sq ft | 5.Area is 22 cm²

• Quiz 2: 1.B | 2.30cm² | 3.C | 4.42 sq in | 5.Same space remains.

• Quiz 3: 1.8ft | 2.B | 3.7m | 4.130 sq ft | 5.Y = 4 cm

• Quiz 4: 1.B | 2.3 | 3.C | 4.Hexagonal Pyramid | 5.6 rects

• Quiz 5: 1.B | 2.54 sq in | 3.57 | 4.64 sq cm | 5.Surface is 2D

Drill Sheets Answers (25 Questions)

Drill 1: Composite Area

1. (4×5) + (3×3) = 20 + 9 = 29 m²

2. (10×2) + (6×4) = 20 + 24 = 44 m²

3. (6×6) + (½×4×6) = 36 + 12 = 48 m²

4. (8×3) + (½×8×5) = 24 + 20 = 44 m²

5. (5×5) + (5×5) = 25 + 25 = 50 m²

6. (12×8) - (4×3) = 96 - 12 = 84 m²

7. (½×6×8) + (6×5) = 24 + 30 = 54 m²

8. (10×2) + (3×8) = 20 + 24 = 44 m²

9. (2×8) + (½×8×4) = 16 + 16 = 32 m²

10. (2×3) + (2×5) + (2×7) = 6+10+14 = 30 m²

Drill 2: Missing Dimensions

11. X = 20 - 12 = 8 ft

12. Y = 14 - 9 = 5 m

13. X = 8 - (3+2) = 8 - 5 = 3 cm

14. Y = 18 - (6+5) = 18 - 11 = 7 in

15. X = 35 - (15+10) = 35 - 25 = 10 yd

Drill 3 & 4: Nets & Surface Area

16. Cube

17. Square Pyramid

18. Triangular Prism

19. Hexagonal Pyramid

20. Rectangular Prism

21. 6 faces × 16 = 96 sq in

22. 2(12) + 2(15) + 2(20) = 24+30+40 = 94 sq in

23. 24+24+24 + 6+6 = 84 sq in

24. 25 + (4 × 10) = 25 + 40 = 65 sq in

25. 6 faces × 100 = 600 sq cm

KSR Learning Series © 2026 Page 2 of 2

• Table B: 120/1 = 120, 200/2 = 100 → NON-PROPORTIONAL!

Steward Rule: If ratios change, the relationship is NOT proportional!

DAY 3

8th Grade: Solving & Graphing Inequalities

Topic: Inequality Flips

Solve inequalities using balanced steps. Secret Rule: Flip the arrow direction if you divide by a negative!

• \(-2x + 8 > 14 \implies -2x > 6\)

• Divide by -2 (Flip arrow!):

Answer: \(x < -3\)

-3

Steward Rule: Open circle means "not equal to". Closed circle means "equal to"!

DAY 4

7th Grade: Direct Variation Graphs

Topic: Coordinate Origin

A proportional coordinate graph must always meet two conditions:

• Must be a straight line.
• Must pass directly through the central origin point (0,0)!

Steward Rule: If a straight line does not cross (0,0), it is non-proportional!

DAY 4

8th Grade: The Straight and Narrow Crossroads

Topic: Angle Twins

Angle Twins on Crossroads!

When a straight road cuts across parallel streets, matching angle positions are identical twins!

• Straight street angles sum to 180°.

• Angle A = 180° - 115° = 65°.

• Angle B (Alternate Interior) = 65°.

115° A B

Steward Rule: Alternate interior and corresponding angles are equal!

DAY 5

The Ultimate Week 1 Boss Battle!

Topic: Mastery Challenge

Prove Your Stewardship Powers!

Today, we set aside the games and teamwork. You are on an independent mission to complete your Week 1 assessment ledger.

7th: Stewardship Boss Battle
8th: Honest Scales Boss Battle

Mastery Checklist:

• 1. Show all division work for unit rates.
• 2. Balance every equation step-by-step.
• 3. Reverse sign arrow when dividing by negatives.
• 4. Match transversal crossroads angle values!

Steward Rule: Trust your math, check your steps, and win!

• 5. Draw solutions on the line. Open/closed circle on -3? ______

KSR Learning Series © 2026 Page 3 of 10

Faithful Stewards • Day 4

Graphs & Crossroads

NC.7.RP / NC.8.G

7th Grade: Connect Tables to Graphs

A proportional line passes directly through origin. Let's find coordinates:

• 1. Find coordinates for k = 3: (0,0), (1, 3), (2, ______) and (3, ______)

• 2. Write direct proportional formula: y = ______ x

• 3. Is the coordinate point (10, 30) on this graph line? YES / NO

8th Grade: Transversals & Parallel Lines

Angle A and 115° are straight line supplementary angles. Alternating interior Angle B equals A:

• 4. Angle A = 180° - 115° = ______°

• 5. Angle B = ______° (Twin alternate interior)

KSR Learning Series © 2026 Page 4 of 10

Faithful Stewards • Day 5

Stewardship Master Run

NC.7.RP / NC.8.EE

7th Grade Task

Water usage rate:

15 gallons used every 2 days. What is the unit rate k?

• 1. Calculate rate k: 15 ÷ 2 = ______ gallons/day

• 2. Write direct proportional formula: y = ______ x

• 3. How many gallons used in 10 days? ______ gallons

8th Grade Task

The Sandstorm Chase:

Solve: \(40x = 30x + 20\) for meeting hour:

• 4. Subtract 30x: 10x = ______

• 5. Divide by 10: x = ______ hours!

KSR Learning Series © 2026 Page 5 of 10

Faithful Stewards • Day 6

Percent Tax & Contextual Equations

NC.7.RP.3 / NC.8.EE.7

7th Grade: Tax, Tip, & Discounts

An ancient merchant charges a 5% tax on a $40 roll of linen fabric. Find the final cost:

• 1. Calculate Tax amount: $40 × 0.05 = $______

• 2. Find Total Bill: $40 + $______ = $______

• 3. If there was a $10 discount first, discounted cost = $______

8th Grade: Contextual Word Equations

Solve: \(5x + 20 = -10x + 50\) representing the meeting points:

• 4. Shift variable: 15x + 20 = 50 ⇒ 15x = ______

• 5. Divide by 15: x = ______ hours

KSR Learning Series © 2026 Page 6 of 10

Faithful Stewards • Day 7

Scales & Constraints

NC.7.RP.3 / NC.8.EE.7

7th Grade: Map Scale Drawings

A blueprint scale is 1 inch = 50 miles. If two wells are 3.5 inches apart on paper:

• 1. Actual distance: 3.5 inches × 50 miles/inch = ______ miles

• 2. Distance on paper for 250 real-world miles: 250 ÷ 50 = ______ inches

• 3. True or False: Scale constant k is 50 miles/inch. ______

8th Grade: Inequality Constraints

"You have a budget of $100. Renting a tent is $40 flat; each chair is $10."

• 4. Write inequality statement: \(10x + 40 \le 100 \implies 10x \le 60\)

• 5. Solve for max chairs x: x ≤ ______ chairs

KSR Learning Series © 2026 Page 7 of 10

Faithful Stewards • Day 8

Rates & Angle Twins

NC.7.RP.3 / NC.8.G.5

7th Grade: Multi-Step Rate & Percent

A merchant offers a 20% discount on a $150 sheep, plus 8% sales tax on the discounted price:

• 1. Discount Price: $150 - ($150 × 0.20) = $______

• 2. Tax: $120 × 0.08 = $______

• 3. Final Price = $______ + $______ = $______

8th Grade: Transversal Proofs

Review parallel lines cut by a transversal. Answer the matching twins:

• 4. Angle 1 = 115°. Find vertical Angle 3 = ______°

• 5. Angle 3 = 115°. Find alternate interior Angle 6 = ______°

KSR Learning Series © 2026 Page 8 of 10

Faithful Stewards • Day 9

Period 2 Review Stations

NC.7.RP / NC.8.EE

7th Grade Percent Ratios

• 1. Calculate tax on $200 with 6% rate: $______

• 2. Find total bill: $200 + tax = $______

• 3. Find cost after 10% discount: $______

8th Grade Inequality Constraints

• 4. Solve: \(-4x + 12 \ge 28 \implies -4x \ge 16 \implies \mathbf{x \le \_\_\_\_\_\_}\)

• 5. Draw solutions on the line. Open/closed circle? ______

KSR Learning Series © 2026 Page 9 of 10

Faithful Stewards • Day 10

Stewardship Portfolio Review

NC.7.RP / NC.8.EE / G.5

7th Grade Task

Commercial Scaling Project:

• 1. Scale ratio is 1:200. Map length = 12 cm. What is actual length? ______ meters

• 2. Map length for 10 meters: ______ cm

• 3. Is the scale constant k = 200? ______

8th Grade Task

Geometric Justification:

• 4. Angle 1 and Angle 8 are alternate exterior. If Angle 1 = 110°, Angle 8 = ______°

• 5. Are they congruent (equal) or supplementary? ______

KSR Learning Series © 2026 Page 10 of 10

y = _______________________

8th Grade Equations

1. Solve the equation for x: \(5x + 8 = 2x + 23\)

A x=3 B x=5 C x=8 D x=2

2. When solving, the simplified result is \(9 = 9\). How many solutions does this linear equation have?

Exactly One Solution Infinitely Many Solutions

3. Solve: \(2x + 7 = 2x + 15\). State the final equation result and solution type.

Answer: _______________________

4. Solve: \(6(x - 2) = 4x + 8\). Show your distribution and variables-to-one-side math.

x = _______________________

5. What is the solution type for the equation \(x + 4 = x + 4\)?

Answer: _______________________

Faithful Stewards Series Page 2 of 5

Faithful Stewards Assessment

Day 3 Quiz: Proportional Tables & Inequalities

5 Questions per Grade

Steward: _________________

Date: ________

Grade: 7th / 8th

7th Grade Proportions

1. Table values: (2, 5), (4, 10), (6, 15). Prove whether this table represents direct proportional variation.

YES (k = 2.5) NO

2. A table contains points (1, 6), (2, 10), and (3, 14). Why is this relationship non-proportional?

The ratios are not constant (6, 5, 4.67) The values do not increase

3. Identify the unit rate (k) from points (3, 18), (5, 30), and (8, 48).

k = _______________________

4. A proportional table must always match what basic coordinate value when x is zero?

A (0,1) B (1,0) C (0,0) D (1,1)

5. If k = 1.5, write the missing y value in point (6, y):

y = _______________________

8th Grade Equations

1. Solve the inequality statement: \(-3x + 12 < 27\)

A x < -5 B x > -5 (sign flipped!)

2. When graphing \(x \ge 4\) on a number line, what type of circle should be drawn on 4?

Open circle Closed circle (solid)

3. Solve and state the final inequality: \(5x - 9 \le 16\)

Answer: _______________________

4. Solve: \(-x + 4 > 10\)

x = _______________________

5. Why must the inequality direction be reversed when dividing by a negative constant?

Briefly explain: __________________________________

Faithful Stewards Series Page 3 of 5

Faithful Stewards Assessment

Day 4 Quiz: Proportional Graphs & Transversals

5 Questions per Grade

Steward: _________________

Date: ________

Grade: 7th / 8th

7th Grade Proportions

1. A line on a coordinate graph represents direct proportional variation. Which two conditions must it meet?

Curved; starts at origin Straight line; passes through origin (0,0)

2. A proportional line on a coordinate graph passes through (1, 4.5). What is the constant unit rate k?

A 1 B 4.5 C 9 D 0

3. Plot points on a coordinate graph: (0,0), (2, 8), (4, 16). Write its equation y = kx.

y = _______________________

4. True or False: If a graph shows a perfectly straight line that crosses the y-axis at (0, 5), it represents a proportional relationship.

TRUE FALSE

5. On a proportional graph, if x increases by 1, y always increases by ________.

Answer: _______________________

8th Grade Equations

1. When a transversal intersects parallel lines, what term describes opposite angles that meet at the central vertex?

A Corresponding B Vertical Angles

2. True or False: Alternate interior angles are supplementary (add up to 180°).

TRUE FALSE

3. Two parallel lines are cut by a transversal. If Angle 1 measures 75°, what is the measure of its corresponding Angle 5?

Answer: _______________________

4. Solve the supplementary angle: Angle X and 45° form a straight line. What is Angle X?

Angle X = _______________________

5. What geometric name is given to two angles inside parallel lines on opposite sides of a transversal?

Answer: _______________________

Faithful Stewards Series Page 4 of 5

Faithful Stewards Assessment

Day 5 Quiz: Weekly Mastery Review

5 Questions per Grade

Steward: _________________

Date: ________

Grade: 7th / 8th

7th Grade Proportions

1. On an map, 3 inches represents 150 miles. What is the unit rate scale (k)?

50 miles/inch 150 miles/inch

2. If proportional line coordinates are (1, 15) and (3, 45), what is the correct direct proportional equation?

y = 15x y = 3x

3. Identify the missing coordinate value in the proportional pair (4, ______), if k = 7.5:

Answer: _______________________

4. Solve the unit price of camel feed: 5 bags cost $45. What is the cost per bag?

$9 $5 $45 $15

5. If x represents hours of walking and y represents distance in miles, what does k describe?

Explain: __________________________________

8th Grade Equations

1. Solve the variables on both sides equation: \(3x + 10 = x + 30\)

A x=5 B x=10 C x=15 D x=20

2. Solve the inequality and flip sign: \(-5x - 7 \ge 18\)

A x ≥ -5 B x ≤ -5

3. Solve: \(4(x + 2) = 4x + 8\). Identify the solution type.

Answer: _______________________

4. A transversal cuts parallel lines. Angle 1 measures 130°. What is the measure of Alternate Exterior Angle 8?

Angle 8 = _______________________

5. Write the algebraic equation representing "5 times a number plus 8 equals 2 times the same number plus 20":

Equation: _______________________

Faithful Stewards Series Page 5 of 5

SCORING SCALE: 14 - 16 Pts: Advanced (A) | 11 - 13 Pts: Proficient (B) | 8 - 10 Pts: Developing (C) | Below 8 Pts: Beginning (D/F)

Teacher Feedback Comments: ________________________________________________________________________________
___________________________________________________________________________________________________________

Faithful Stewards Series © 2026 Page 1 of 1

7th Grade: Stewardship Boss Battle: Independent mastery. Students solve mixed unit rate, equation, and proportional comparison cards without helpers. 8th Grade: Honest Scales Boss Battle: Solve multi-step variables-on-both-sides equations, inequality flips, and supplementary transversal angle relations.

• 7th Supplies: Core challenge cards, paper.

• 8th Supplies: Whiteboards, algebraic test sheets.

No-Guess Playbook Guidelines:

• • Check for Understanding: Require students to state a math sentence (e.g. "Water costs $2 per bottle") before any purchase or code unlock can occur.
• • Whiteboard Verification: For 8th-grade equations, require verification of the variable in the original formula card.
• • Active Reteach: Spot common mistakes and pull 2-3 students aside for immediate whiteboard modeling.

KSR Learning Series © 2026 Page 2 of 2

Board Drawing: Draw two parallel lines crossed by a line. Use an orange marker to highlight equal alternate interior twins.

Running Period 2 Smoothly:

Since you are teaching two grade levels simultaneously, follow this simple rotation rhythm:

• • Rhythm: Teach 7th Grade at your small-group table while 8th Grade completes their workspace warmup. Then, switch!
• • The "No Guess" Rule: When students buy things in the Stewardship Store or escape in the Equation Escape, do not accept quick guesses. They must explain their balanced math in full complete sentences!
• • Support: Use the game guides to hand out physical tokens and track team progress.

KSR Learning Series © 2026 Page 2 of 2

Step 1: Distribute: \(3x+12 = 27\)

Step 2: Subtract 12: \(3x = 15\)

Step 3: Divide by 3: \(x = 5\)

Spectrum Guide: Copy the calculations. Ensure your numbers align in tidy vertical columns.

DAY 1

Day 1 Mini-Quiz!

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

Grade 6

Q: A composite shape has two blocks: A (2×3) and B (4×5). What is the total area?

Answer: _________ m²

Grade 7

Q: A messenger travels 120 miles in 4 hours. What is their unit speed rate k (miles/hour)?

k = _________ mph

Grade 8

Q: Solve the balanced scale equation for x: \(2x - 5 = 15\)

x = _________

Spectrum Guide: Write down your answers. Work quietly at your desk.

DAY 2

Day 2: Notes & Vocabulary

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

GRADE 6

Slanted Roofs

Chop slanted temple roofs into right triangles. Formula: \(Area = \frac{1}{2} \times b \times h\).

• Partition: Slicing lines.

• Triangle: Exactly half rectangle.

GRADE 7

Constant Rate k

Direct variation locks variables together with constant multiplier \(k\). Equation: \(y = kx\).

• Constant k: Unchanging rate.

• Direct Variation: Values rise together.

GRADE 8

Balanced Letters

Move variable letter terms to one side. Simplify to determine final solution types.

• Coefficient: Number multiplying x.

• Solution: One, None, or Infinite.

Spectrum Guide: Copy the highlighted vocabulary boxes exactly as shown. Use quiet voices.

DAY 2

Day 2: Solved Step-by-Step Examples

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

G6: Slanted Walkway

Slice: Rect + Triangle

Step 1: Rect: \(8 \times 7 = \mathbf{56\ sq\ in}\)

Step 2: Tri: \(\frac{1}{2} \times 4 \times 7 = \mathbf{14\ sq\ in}\)

Step 3: Total = \(56 + 14 = \mathbf{70\ sq\ in}\)

G7: Fuel constant k

x=gallons, y=miles:

Step 1: (4, 80) → \(k = \frac{80}{4} = \mathbf{20}\)

Step 2: (8, 160) → \(k = \frac{160}{8} = \mathbf{20}\)

Step 3: Formula: \(y = 20x\)

G8: Solve both sides

Solve \(4x+6 = 2x+14\):

Step 1: Shift variable: \(2x + 6 = 14\)

Step 2: Shift number: \(2x = 8\)

Step 3: Divide by 2: \(x = 4\)

Check: If equations simplify to false statement (e.g. 5=12), there is No Solution!

DAY 2

Day 2 Mini-Quiz!

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

Grade 6

Q: Find the area of a right triangle that has a base of 6 cm and a height of 5 cm.

Area = _________ cm²

Grade 7

Q: If y = 10 when x = 2, find the constant of proportionality k and write the equation.

y = _________ x

Grade 8

Q: How many solutions does this balanced equation have? \(5x + 3 = 5x + 12\)

Solution type: _________

Write down your answers in your notebook!

DAY 3

Day 3: Notes & Vocabulary

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

GRADE 6

Parallel Walls

Subtract opposing parallel side values to discover unlabeled wall heights on blueprints.

• Parallel: Opposite lines.

• Dimension: Size label of wall.

GRADE 7

Is It Fair?

Ratios are only proportional (fair sharing) if dividing y by x always gives the exact same constant \(k\).

• Proportional Table: All ratios equal.

• Constant: Multiplier matches.

GRADE 8

Unbalanced Scales

Solve inequalities. Flip the comparison arrow direction if you divide by a negative coefficient!

• Inequality: Unbalanced statement.

• Boundary: Limit point on line.

Ranger Rule: Always show the inequality arrow direction in your sketches!

DAY 3

Day 3: Solved Step-by-Step Examples

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

G6: Hidden Dimensions

Total=13m, segment=6m:

Step 1: Identify parallel total: 13m.

Step 2: Subtract known: 13 - 6 = 7m.

Step 3: Missing X = \(\mathbf{7\ m}\)

G7: Ratio Proof

Check proportional tables:

Step 1: Row 1: \(10 \div 2 = 5\)

Step 2: Row 2: \(20 \div 4 = 5\)

Step 3: Constant k = 5 (YES!)

G8: Arrow sign flip

Solve \(-2x + 8 > 14\):

Step 1: Subtract 8: \(-2x > 6\)

Step 2: Divide by -2 (FLIP sign!):

Step 3: Answer: \(x < -3\)

Check: If you divide or multiply by a positive number, the arrow sign does NOT flip!

DAY 3

Day 3 Mini-Quiz!

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

Grade 6

Q: Total blueprint height is 15 in. The known bottom wall is 9 in. What is the missing top parallel height?

Y = _________ in

Grade 7

Q: Is this table proportional? Row 1: (1, 6), Row 2: (2, 10), Row 3: (3, 14).

Answer: YES / NO

Grade 8

Q: Solve the unbalanced scale inequality statement: \(-3x > 15\)

Answer: _________

Write down your answers in your notebook!

DAY 4

Day 4: Notes & Vocabulary

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

GRADE 6

Tabernacle Nets

A flat pattern that folds to make a 3D solid. Triangular prisms have 3 rects and 2 bases.

• Net: Flat pattern layout.

• Prism: Connects equal bases.

GRADE 7

Coordinate Graphs

Direct variation graphs are straight lines that pass directly through origin (0,0).

• Origin: Central coordinates (0,0).

• Grid: Coordinate graph axes.

GRADE 8

Crossroad Twins

When parallel streets are cut by a transversal road, alternate and corresponding angle twins are equal!

• Parallel: Streets never crossing.

• Transversal: Slanted road.

Ranger Rule: Always color-code matching alternate interior twins!

DAY 4

Day 4: Solved Step-by-Step Examples

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

G6: Sketch Prism Net

Triangular Prism pattern:

Step 1: 3 Rectangles side-by-side.

Step 2: 2 Triangles connected on bases.

G7: Graph k multiplier

Point (2, 6) is on proportional line:

Step 1: Find Constant rate: \(k = \frac{y}{x} = \frac{6}{2} = 3\).

Step 2: Formula: \(y = 3x\)

G8: Crossroad Solve

Solve straight road angle:

Step 1: Supplementary sum: \(180°\).

Step 2: Solve A: \(180° - 115° = 65°\).

Step 3: Twin B (alternate) = 65°

Check: Supplementary angles must add up to exactly 180 degrees!

DAY 4

Day 4 Mini-Quiz!

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

Grade 6

Q: How many rectangular lateral faces does the flat net of a triangular prism have?

Answer: _________

Grade 7

Q: True or False: If a straight line crosses the coordinate chart y-axis at (0, 4), it is proportional.

Answer: TRUE / FALSE

Grade 8

Q: Parallel lines cut by transversal. If Angle 1 is 120°, what is Corresponding Angle 5?

Angle 5 = _________°

Write down your answers in your notebook!

DAY 5

Day 5: Notes & Vocabulary

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

GRADE 6

Tapestry Wrap

Surface area is the total outside paper needed to cover a box. Sum the area of all flat faces.

• Surface Area: Outside face area sum.

• Face sum: Adding up outer parts.

GRADES 7 & 8 COMBINED

Combined Stewardship Synthesis

Set direct proportional formulas equal to each other to solve combined system puzzles. Keep your whiteboards balanced and check your solutions to verify.

• System Balance: Both formulas matching.

• Linear comparison: Setting lines equal.

Ranger Rule: Finish your weekly notebook reviews and secure your star tokens!

DAY 5

Day 5: Solved Step-by-Step Examples

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

G6: Pyramid Wrapping Paper

Base side=6cm, Triangle heights=5cm:

Step 1: Square Base: \(6 \times 6 = 36\ cm^2\)

Step 2: 1 Side Tri: \(\frac{1}{2} \times 6 \times 5 = 15\ cm^2\)

Step 3: 4 Side Tris: \(4 \times 15 = 60\ cm^2\)

Step 4: Total SA = \(36 + 60 = \mathbf{96\ cm^2}\)

G7/8: Combined Dune Chase

Solve \(40x = 30x + 20\):

Step 1: Subtract 30x: \(10x = 20\).

Step 2: Divide by 10: \(x = 2\).

Step 3: Rangers catch storm at 2 hours!

Check: Surface area answers must always feature square units (\(^2\))!

DAY 5

Day 5 Mini-Quiz!

1. COPY NOTES 2. SEE EXAMPLES 3. QUIZ

Grade 6

Q: A perfect cube toy box has a side length of 3 in. What is its total surface area?

Total SA = _________ sq in

Grades 7 & 8 Combined

Q: Solve this balanced scale chase equation for x: \(3x + 10 = x + 30\)

x = _________

Write down your answers in your notebook! Excellent Week 1 work!

19. Equation: \(6(x - 2) = 4x + 8\) → simplified: \(2x = 20 \implies x = 10\) __________________

20. Equation: \(x + 4 = x + 12\) → simplified: \(4 = 12\) __________________

Drill 4: Transversal Angle Relationships (5 Questions)

Solve the missing angle measurements based on parallel crossroad relationships:

21. Vertical Angle Proof:
Angle 1 and Angle 3 are vertical angles. If Angle 1 measures 115°, what is Angle 3?

______°

22. Supplementary Angle Proof:
Angle 1 and Angle 2 are adjacent on a straight line. If Angle 1 is 115°, what is Angle 2?

______°

23. Corresponding Angle Proof:
Angle 2 and Angle 6 are corresponding angles on parallel lines. If Angle 2 is 65°, what is Angle 6?

______°

24. Alternate Interior Angle Proof:
Angle 3 and Angle 6 are alternate interior angles. If Angle 3 is 65°, what is Angle 6?

______°

25. Alternate Exterior Angle Proof:
Angle 1 and Angle 8 are alternate exterior angles. If Angle 1 is 115°, what is Angle 8?

______°

KSR Learning Series © 2026 Page 2 of 2

• Goal: Verify with constant k!

8TH GRADE

Solution Type Sort

Simplify equations and sort them under: One, None, or Infinite solutions!

• Supplies: Equation cards, sort bins.

• Goal: Categorize all correctly!

No guess rule: Show your balanced steps before scoring gold stars!

DAY 4 GAMES

Day 4: Folding & Coordinate Showdown

15 Minute Game Limit

6TH GRADE

Net Detective

Inspect flat paper nets. Predict which fold, cut them out, tape, and calculate total SA!

• Supplies: Printed nets, tape, scissors.

• Goal: Label every face first!

7TH GRADE

Graph It

Given a direct equation card (e.g. y = 3x), plot points and draw on grid paper!

• Supplies: Coordinate grids, rulers.

• Goal: Pass directly through (0,0)!

8TH GRADE

Inequality War

Flip inequality cards, solve on whiteboards, and plot limits. Higher boundary value wins!

• Supplies: Inequality cards, number lines.

• Goal: Check open/closed circles!

No guess rule: Show your balanced steps before scoring gold stars!

DAY 5

The Daily Boss Battle Showdown!

Independent Mastery Mission

The Ultimate Weekly Test!

Set aside the team cards and whiteboards. Today, you are on an independent mission to complete your assessment ledger!

Show how you slice composite temple layouts (6th), calculate unit rates (7th), balance algebraic scales (8th), and locate angle twins (8th)!

Ranger Grading Checklist:

1 6th Grade: Slice courtyard floorplans into rectangles.

2 7th Grade: Write direct equations \(y = kx\).

3 8th Grade: Isolate variables on both sides of scale.

4 8th Grade: Match alternate and corresponding twins!

Middle School Math Block Showdown Verify your calculations and secure your star tokens! Good luck!

GAME #2

This or That: Express Your Choice!

Low-Pressure Movement

🏀 Basketball OR ⚽ Soccer

🎮 Video Games OR 🎬 Movies

🍕 Pizza OR 🌮 Tacos

☀️ Summer Sun OR ❄️ Winter Snow

💬 Texting OR 📞 Phone Calling

How to Play:

• Side A (Left): Walk calmly to the left wall.

• Side B (Right): Walk calmly to the right wall.

Prefer to stay seated? Hold up Left or Right hands instead!

Walk calmly. No running or bumping!

GAME #3

Community Bingo!

Finding Classmates

Find classmates who match:

Walk with your pencil and ask classmates politely. Write their name in the matching square:

🐶 Has a dog or cat

🎸 Plays an instrument

✈️ Traveled out of state

🎨 Loves art & drawing

🏀 Plays a team sport

📚 Loves reading books

Gentle Social Rules:

• 1. Say: "Excuse me, do you have a pet?"
• 2. One name per classmate on your board.
• 3. Ask before writing their name!
• 4. Shout "BINGO" in an indoor speaking voice!

Indoor quiet voices. Respect everyone's personal space!

GAME #4

Would You Rather?

Choose & Explain

CHOICE 1:

A: Fly like an eagle OR B: Be super invisible

CHOICE 2:

A: Unlimited books OR B: Unlimited free time

CHOICE 3:

A: Explore ancient history OR B: Explore deep outer space

Defend Your Answer:

There are no wrong answers!

Sentence Starter:
"I chose Option A because..."

Listen patiently while your classmates share their reasons!

PARTNER ROUND

Speed-Connections!

2 Minutes Per Round

Round 1 Question:

"What is a special skill or hobby you are really good at?"

Round 2 Question:

"What is something you want to learn this school year?"

Round 3 Question:

"What is one funny thing that always makes you laugh?"

Round 4 Question:

"What is one positive goal you have for math class?"

Rotation Procedure:

• Partner A talks for 45 seconds.
• Partner B talks for 45 seconds.
• When the timer bell rings, slide one seat to your right!

Feel free to write your answers down if speaking feels overwhelming!

Listen with kindness when your partner speaks!

GAME #5

The Mystery Classmate!

Anonymous Facts

How well do you know your peers?

Everyone writes one interesting secret fact about themselves on an index card—do not write your name!

Your teacher will mix the cards in a basket and read them out loud one by one.

Guessing Rules:

• Raise a calm hand to make a guess.

• Correct guess scores 1 point for your table!

• Celebrate the unique talents God gave each classmate!

Honor your classmates' privacy and unique stories!

TEAMWORK

Building Our Classroom Covenant

Groups of 3 - 4

What makes a great classroom?

Together in your small groups, choose 3 core rules that will help everyone feel safe, respected, and ready to learn.

Example Covenant Values:

• Respect: Treat others the way you want to be treated.

• Encouragement: Lift people up; no put-downs.

• Focus: Keep learning time calm and productive.

Each team presents their favorite rule in a 30-second summary!

TRIVIA

Get to Know Your Teacher!

Speed Guessing

1. Favorite food? [ Guess! ]

2. Favorite sport or team? [ Guess! ]

3. Favorite movie or show? [ Guess! ]

4. Dream vacation spot? [ Guess! ]

5. One major pet peeve? [ Guess! ]

Raise your hand to make a guess!

Teachers are people too! Let's build a joyful connection.

STANDARDS

Our 5 Core Expectations

Daily Culture

RESPECT

Treat people with Christ-like kindness and patience.

EFFORT

Try your best even when math problems feel difficult.

RESPONSIBILITY

Bring your pencil and journal. Own your choices.

KINDNESS

No put-downs or excluding. Help each other grow.

JOY

We can laugh, enjoy games, and still get our work done!

"Love one another with brotherly affection." (Romans 12:10)

WRAP-UP

Exit Slip: Tell Your Teacher!

Last 5 Minutes

Answer on your index slip:

1. One new fact I learned about a classmate today:

2. One thing I want my teacher to know about how I learn best:

3. One personal goal I have for math class this term:

Hand your slip to the teacher before dismissal!

Thank you for a wonderful first day together!

B "The Lord is a mighty tower on a high hill."

C "The sun rises in the morning over the river."

Hint: It talks about green pastures and still waters!

QUESTION 7

Fruits of the Spirit

Galatians 5

Which of these lists contains true Fruits of the Spirit?

Raise your hand to choose A, B, or C:

A Speed, strength, and winning first place

B Love, Joy, Peace, Patience, Kindness

C Gold, silver, and fancy new clothes

Hint: These are inner virtues of Christ-like character!

QUESTION 8

The Armor of God

Ephesians 6

In the Armor of God, what is the protective 'Shield' named?

Raise your hand to choose A, B, or C:

A The Shield of Faith

B The Shield of Bronze

C The Shield of Silence

Hint: It protects believers from all fiery challenges!

REWARD

Well Done, Faithful Stewards!

Fellowship Stars

Awesome Job Today!

You listened with patience, raised your hands with respect, and encouraged your classmates!

Everyone receives a participation star token for building a peaceful classroom community!

"Let all that you do be done in love."
(1 Corinthians 16:14)

Pack up quietly and prepare for dismissal!

Hint: 39 are in the Old Testament, making 66 total books in the Bible!

QUESTION 7

The Prophet of Fire

1 Kings 18

Which prophet prayed for fire from heaven on Mount Carmel?

Raise your hand to choose A, B, or C:

A Elijah

B Elisha

C Isaiah

Hint: Fire consumed the offering and even the water in the trench!

QUESTION 8

Transformed on the Road

Acts 9

Who saw a bright heavenly light on the road to Damascus?

Raise your hand to choose A, B, or C:

A Saul (later Apostle Paul)

B Barnabas

C Timothy

Hint: He heard Jesus speak to him and became the great apostle to the nations!

REWARD

Well Done, Bible Scholars!

Scholar Stars

Level 2 Quest Complete!

You listened with focus, raised your hands respectfully, and demonstrated impressive knowledge of God's Word!

⭐ Everyone earns a Kingdom Scholar star token for active classroom fellowship!

"Your word is a lamp to my feet and a light to my path."
(Psalm 119:105)

Great job participating today! Pack up quietly.

Ezekiel 37

Which prophet was shown a vision of a valley of dry bones brought to life by God's breath?

Raise your hand to choose A, B, or C:

A Jeremiah

B Ezekiel

C Amos

Hint: God commanded him: "Prophesy to these bones, and say to them, 'Hear the word of the Lord!'"

QUESTION 7

Original Biblical Languages

Manuscripts

In what language was the vast majority of the Old Testament originally written?

Raise your hand to choose A, B, or C:

A Ancient Hebrew (with portions in Aramaic)

B Koine Greek

C Latin

Hint: The New Testament was written in Greek, while the Old Testament was Hebrew!

QUESTION 8

Old Testament Canonical Order

Poetry & Wisdom

Which book of the Old Testament comes directly before the Book of Psalms?

Raise your hand to choose A, B, or C:

A Job

B Esther

C Proverbs

Hint: It is a great book of wisdom and perseverance!

REWARD

Grand Master Bible Scholars!

Mastery Crown

Level 3 Quest Complete!

You mastered challenging questions on kings, covenants, prophets, and biblical history!

Everyone receives a Grand Master Scholar token for exceptional scripture knowledge!

"Grow in the grace and knowledge of our Lord."
(2 Peter 3:18)

Fantastic participation! Pack up with quiet excellence.

KSR Learning Series © 2026 Page 1 of 2

Kingdom Trivia • Teacher Key

Hard & Jeopardy Solutions

Classroom Game Guide

JEOPARDY SOLUTIONS

Level 3: Hard Trivia Solutions (8 Questions)

HARD

• Q1 Salem King: A (Melchizedek) (Gen 14)

• Q2 Landless Tribe: B (Tribe of Levi) (Josh 13:33)

• Q3 European Convert: B (Lydia) (Acts 16:14)

• Q4 Island: B (Island of Patmos) (Rev 1:9)

• Q5 Hebrew Names: A (Hananiah/Mishael/Azariah)

• Q6 Dry Bones: B (Ezekiel) (Ezek 37)

• Q7 Language: A (Hebrew & Aramaic)

• Q8 Book Before Psalms: A (Job)

Jeopardy Game Solutions (12 Clues • 100 - 400 Pts)

MASTER KEY

OT Heroes:

• 100: A (Moses) [Ex 14]

• 200: A (David) [1 Sam 17]

• 300: B (Esther) [Esth 4]

• 400: A (Elijah) [2 Ki 2]

NT Miracles:

• 100: A (Cana) [John 2]

• 200: B (5 Loaves) [Matt 14]

• 300: A (Peter) [Matt 14]

• 400: B (Lazarus) [John 11]

Wisdom / Numbers:

• 100: C (12 Disciples) [Matt 10]

• 200: B (40 Days) [Matt 4]

• 300: B (Solomon) [1 Ki 6]

• 400: A (7 Churches) [Rev 2]

Teacher Turn Management:

1. Team selects Category & Points → 2. Read clue → 3. First calm raised hand answers → 4. Add point value to team tally!

KSR Learning Series © 2026 Page 2 of 2

A The tax collector Matthew paid 30 silver coins

B Judas Iscariot betrayed Jesus for exactly 30 silver coins

C The Roman soldiers paid 30 coins for the tomb guard

Hint: The chief priests counted out this exact amount from the temple treasury!

PROPHECY 5

Silent Like a Lamb

Isaiah 53:7 → Matthew 27:12-14

📜 OT Prophecy (Isaiah 53:7):
"He was oppressed and afflicted, yet He did not open His mouth; He was led like a lamb to the slaughter, and as a sheep before its shearers is silent, so He did not open His mouth."

When did Jesus fulfill this silent posture?

A When Jesus gave no answer to false accusations before Pilate

B When Jesus was praying alone in the wilderness

C When Jesus was resting in the fishing boat during the storm

Hint: Governor Pilate was greatly amazed that Jesus did not defend Himself!

PROPHECY 6

Dividing His Clothing

Psalm 22:18 → John 19:23-24

📜 OT Prophecy (Psalm 22:18):
"They divide my clothes among them and cast lots for my garment."

How did the Roman soldiers fulfill this at the cross?

A They sold His clothes at the temple market

B They threw dice (cast lots) to decide who got His seamless robe

C They tore His tunic into twelve pieces for the disciples

Hint: Because the tunic was woven in one piece without a seam, they decided not to tear it!

PROPHECY 7

Not One Bone Broken

Psalm 34:20 → John 19:33-36

📜 OT Prophecy (Psalm 34:20 & Exodus 12:46):
"He protects all His bones; not one of them is broken... nor shall you break a bone of the Passover Lamb."

What happened when the soldiers came to Jesus on the cross?

A They saw He was already dead, so they did not break His legs

B They broke all the crosses on the hill

C They removed the soldiers from guard duty

Hint: The soldiers broke the legs of the two thieves, but not Jesus!

PROPHECY 8

Risen from the Grave

Psalm 16:10 → Acts 2:31-32

📜 OT Prophecy (Psalm 16:10):
"For You will not abandon my soul to Sheol (the grave), nor will You allow Your Holy One to see corruption."

How was this triumphant promise fulfilled on Easter Sunday?

A Jesus remained asleep in the garden

B Jesus rose victoriously from the dead on the third day!

C The disciples built a monument over the tomb

Hint: The angel said: "He is not here; He has risen, just as He said!"

VICTORY

Every Promise Fulfilled!

Prophecy Quest

Faithful to Every Word!

God's promises in the Old Testament were written centuries beforehand and were 100% fulfilled in Jesus Christ!

⭐ Everyone earns a Prophecy Scholar star token for excellent hand-raising and focus!

"For all the promises of God in Him are Yes, and in Him Amen."
(2 Corinthians 1:20)

Thank you for playing! Pack up with quiet excellence.

When Jesus fed a crowd of over 5,000 people, He multiplied 2 fish and how many barley loaves?

Raise hand to choose A, B, or C:

A 3 loaves

B 5 loaves

C 7 loaves

Hint: There were 12 baskets of leftover bread fragments collected!

NT MIRACLES

300 Points Clue

Matthew 14:28-29

Which apostle stepped out of the boat during a stormy night and walked on water toward Jesus?

Raise hand to choose A, B, or C:

A Simon Peter

B John the Beloved

C Thomas

Hint: When he looked at the waves he began to sink, but Jesus caught his hand!

NT MIRACLES

400 Points Clue

John 11

In the village of Bethany, Jesus raised this friend from the dead after he had been in the tomb for 4 days.

Raise hand to choose A, B, or C:

A Jairus' son

B Lazarus

C Bartimaeus

Hint: He was the brother of Mary and Martha!

WISDOM & NUMBERS

100 Points Clue

Matthew 10

How many apostles did Jesus choose to be His primary disciples?

Raise hand to choose A, B, or C:

A 7 disciples

B 10 disciples

C 12 disciples

Hint: This number matches the twelve tribes of Israel!

WISDOM & NUMBERS

200 Points Clue

Matthew 4:2

How many days and nights did Jesus fast in the wilderness before His earthly ministry began?

Raise hand to choose A, B, or C:

A 14 days & nights

B 40 days & nights

C 70 days & nights

Hint: This number also matches the rain on Noah's Ark and Moses on Sinai!

WISDOM & NUMBERS

300 Points Clue

1 Kings 6 & Proverbs

Which king of Israel built the glorious First Temple in Jerusalem and wrote thousands of Proverbs?

Raise hand to choose A, B, or C:

A King Saul

B King Solomon

C King Hezekiah

Hint: He was known across the ancient world for his unrivaled wisdom!

WISDOM & NUMBERS

400 Points Clue

Revelation 2-3

In the opening chapters of Revelation, how many churches in Asia Minor did John write letters to?

Raise hand to choose A, B, or C:

A 7 churches

B 12 churches

C 10 churches

Hint: These included Ephesus, Smyrna, Pergamum, and Philadelphia!

FINAL SCORE

Jeopardy Champions!

Team Fellowship

Outstanding Teamwork!

You demonstrated incredible knowledge of Old Testament heroes, Gospel miracles, and biblical numbers!

🏆 Tally your final team points. Every team receives a fellowship star token!

"Let the word of Christ dwell in you richly."
(Colossians 3:16)

Pack up with quiet excellence. Great job today!

Ref: Esther

NT MIRACLES300 PTS

Walked on water with Jesus on a stormy night:

A) Peter
B) John
C) Thomas

Ref: Matt 14

WISDOM300 PTS

King who built the First Temple & Proverbs:

A) Saul
B) Solomon
C) Hezekiah

Ref: 1 Kings 6

OT HEROES400 PTS

Ascended to heaven in chariot of fire:

A) Elijah
B) Elisha
C) Isaiah

Ref: 2 Kings 2

NT MIRACLES400 PTS

Raised from tomb after 4 days in Bethany:

A) Jairus' son
B) Lazarus
C) Bartimaeus

Ref: John 11

WISDOM400 PTS

Churches in Asia John wrote letters to in Rev:

A) 7
B) 12
C) 10

Ref: Rev 2-3

KSR Learning Series © 2026 Page 2 of 3

Interactive Classroom Kit

Team Scorecards & Buzzer Slips

Student Materials

4 TEAMS

Cut along the dashed lines to provide each student team with their dedicated point tracker and written response card.

TEAM 1 SCORECARDBLUE TEAM

Team Members: ___________________________

Point Tally Box:

Tally your earned points here (+100, +200, +300, +400)...

Final Total:______ pts

TEAM 2 SCORECARDINDIGO TEAM

Team Members: ___________________________

Point Tally Box:

Tally your earned points here (+100, +200, +300, +400)...

Final Total:______ pts

TEAM 3 SCORECARDPURPLE TEAM

Team Members: ___________________________

Point Tally Box:

Tally your earned points here (+100, +200, +300, +400)...

Final Total:______ pts

TEAM 4 SCORECARDGREEN TEAM

Team Members: ___________________________

Point Tally Box:

Tally your earned points here (+100, +200, +300, +400)...

Final Total:______ pts

KSR Learning Series © 2026 Page 3 of 3

B He buys a new sheep at the local marketplace

C He builds a fence around the remaining 99

Hint: There is great joy in heaven over one sinner who repents!

QUESTION 6

The Tiny Seed That Grows

Matthew 13:31-32

Jesus compared the kingdom of heaven to this tiny seed that grows into a great garden tree where birds nest:

Raise your hand to choose A, B, or C:

A An apple seed

B A mustard seed

C An olive pit

Hint: Even small faith like this tiny seed can move mountains!

QUESTION 7

The Solid Foundation

Matthew 7:24-27

The wise builder built his house upon what foundation so that the wind and rain could not knock it down?

Raise your hand to choose A, B, or C:

A The solid Rock

B The soft Sand

C The green Grass

Hint: Building on the Rock means hearing Jesus' words and doing them!

QUESTION 8

The Parable of the Talents

Matthew 25:21

What commendation did the master give to the faithful servants who wisely multiplied their talents?

Raise your hand to choose A, B, or C:

A "Go work in another city."

B "Well done, good and faithful servant!"

C "You should have kept them hidden in the dirt."

Hint: "You have been faithful over a few things; I will put you in charge of many things!"

REWARD

Parables Quest Complete!

Kingdom Wisdom

Wise & Faithful Learners!

You listened with focus, raised your hands respectfully, and learned the wonderful stories and parables of Jesus!

⭐ Everyone earns a Kingdom Parable star token for active classroom fellowship!

"He who has ears to hear, let him hear."
(Matthew 13:9)

Thank you for participating! Pack up quietly.

Monetary Policy (The Fed)

The central bank's control of interest rates and the circulating money supply to maintain general currency value.

Stewardship Economics Elective Operating Checklist: Coordinated, fair interventions prevent hyperinflation!

DAY 5

Personal Budgets & Opportunity Costs

Objective: Manage resources wisely

Because we face limited incomes, every purchase decision requires a trade-off.

The value of your next best alternative is your Opportunity Cost!

Stewardship Economics Elective Biblical core: "A good man out of the good treasure of his heart..." (Luke 6:45)

DAY 6

Trade, Specialization, & Interdependence

Objective: Analyze trade advantages

Nations trade because of comparative advantage—producing at a lower opportunity cost than others.

• Imports: Goods we buy from neighbors.

• Exports: Blessings we sell to others.

Stewardship Economics Elective Trading promotes peace, sharing of resources, and mutual prosperity!

DAY 7

Graphing Curve Shifts & Market Spikes

Objective: Predict price adjustments

Curves shift due to non-price factors:

• Demand shift left: Consumer buzz falls.

• Supply shift right: Lower production costs.

Equilibrium shifts to a new stable price!

Stewardship Economics Elective Rule: A shift left is always a decrease, a shift right is always an increase!

DAY 8

Business Cycles & National Wave

Objective: Navigate expansions and contractions

The Wave of Economic Growth

National outputs rise and fall in waves: Expansion, Peak, Contraction, and Trough.

PEAK

Stewardship Economics Elective Biblical core: "In the day of prosperity be joyful, but in the day of adversity consider..." (Ecclesiastes 7:14)

DAYS 9 & 10

Stewardship Portfolio Defense

Objective: Defend your calculations

Wise Stewardship Defense

A Christian steward is accountable. Today, you are called to defend your business decisions, budget plans, and macro-policy solutions.

Portfolio Guidelines:

• 1. Calculate direct variation curves correctly.
• 2. Draft a complete balanced household budget.
• 3. Select fiscal tools to fight severe recessions.
• 4. Explain trade comparative advantage in writing!

Stewardship Economics Elective "Well done, thou good and faithful servant... enter into the joy." (Matthew 25:21)

Fiscal Policy:

1. Cut tax rates to boost GDP: Expansionary / Contractionary

2. Drop public spending to cool inflation: Expansionary / Contractionary

Monetary Policy:

3. Raise Discount interest rate: Easy Money / Tight Money

4. Expand circulating money supply: Easy Money / Tight Money

• 5. Which policy operates faster? Fiscal / Monetary

KSR Learning Series © 2026 Page 4 of 10

Stewardship Economics • Day 5

Unit 1 Mid-Way Review

EPF.E.1.2–E.3.2

Day 5 Exercises (5 Questions):

• 1. CPI measures: Inflation / GDP output

• 2. Opportunity cost is: Value of next best choice / Cash spending

• 3. Standard Deviation is a metric of: Center / Spread

• 4. True or False: Intermediate goods are fully included in GDP. ______

• 5. Explain how rapid money printing affects currency value:

Answer: __________________________________________________

KSR Learning Series © 2026 Page 5 of 10

Stewardship Economics • Day 6

Opportunity Cost & Personal Ledgers

EPF.E.1.1

Draft a household budget balancing monthly incomes and savings goals:

Day 6 Exercises (5 Questions):

• 3. Find Total Income: $500 + $50 = $______

• 4. Find Total Tithing Savings: $______

• 5. Is the remaining budget balanced (Spending ≤ Remaining)? YES / NO

KSR Learning Series © 2026 Page 6 of 10

Stewardship Economics • Day 7

Specialization & Neighborly Interdependence

EPF.E.4.1

Day 7 Exercises (5 Questions):

Trading Post Analysis:

Country A can build 1 ship for 5 labor blocks. Country B can build 1 ship for 12 labor blocks.

1. Who holds the absolute ship advantage? ______

2. Should they specialize and trade? ______

3. True or False: Specialization increases overall global efficiency. ______

4. Goods bought from foreign partners are: Imports / Exports

5. Goods sold to foreign partners are: Imports / Exports

KSR Learning Series © 2026 Page 7 of 10

Stewardship Economics • Day 8

Shifting Market Equilibrium Price

EPF.E.1.3

Day 8 Exercises (5 Questions):

Scenario: A cheap solar panel discovery doubles electric factory output.

1. Shift direction of Supply curve: Left / Right

2. Resulting equilibrium market price: Increase / Decrease

• 3. A shift leftward on any curve represents a: Decrease / Increase

• 4. A shift rightward on any curve represents an: Decrease / Increase

• 5. True or False: Non-price determinants shift the entire curve. ______

KSR Learning Series © 2026 Page 8 of 10

Stewardship Economics • Day 9

Business Cycles & Policy Tools

EPF.E.2.1 / E.2.3

Day 9 Exercises (5 Questions):

Policy Selector Station:

Inflation reaches 12%. The dollar loses value.

1. Federal Fed action on discount interest rates: Raise / Lower

2. Congress action on income tax rates: Raise / Lower

3. Federal Fed action on money supply: Expand / Contract

4. Congress action on public works spending: Expand / Contract

5. Is this combined policy mix expansionary or contractionary? __________________

KSR Learning Series © 2026 Page 9 of 10

Stewardship Economics • Day 10

The Stagflation Portfolio

EPF.E.1.1–E.3.2

The Stagflation Dilemma: A country faces 9% inflation AND 8% unemployment simultaneously. Why is this tough to fix?

Day 10 Exercises (5 Questions):

• 1. Tools to fix unemployment usually: Worsen / Cool inflation.

• 2. Tools to cool inflation usually: Increase / Decrease unemployment.

• 3. Is printing money to pay debt helpful here? YES / NO

• 4. Coordinated policy matches Congress and Fed: YES / NO

• 5. True or False: Wise personal savings protect families during troughs. ______

KSR Learning Series © 2026 Page 10 of 10

4. Lowering reserve requirement has what impact on lending?

[ ] Increases lending

[ ] Decreases lending

5. What policy operates faster: Fiscal or Monetary?

Answer: ______________

KSR Learning Series © 2026 Page 2 of 5

Stewardship Economics Assessment

Days 5 & 6 Quizzes

10 Questions total

Day 5 Quiz: Mid-Way Review

1. Which is not included in GDP?

[ ] Final goods sales

[ ] Transfer payments

2. Opportunity cost represents the value of:

[ ] The next best choice

[ ] All purchased goods

3. Scarcity is a permanent physical reality.

[ ] True

[ ] False

4. What is the largest contributor to inflation?

[ ] Rapid money supply rise

[ ] High savings rates

5. What index tracks general price changes?

Answer: ______________

Day 6 Quiz: Personal Finance

1. What % is traditional biblically-based savings tithe?

[ ] 10%

[ ] 5%

2. A balanced household ledger must ensure:

[ ] Spending ≤ Income

[ ] Spending > Income

3. Opportunity cost of buying a car over a bike is:

[ ] The bike ride benefits

[ ] The car fuel cost

4. Personal savings are vital for cycle troughs.

[ ] True

[ ] False

5. Name a monthly household fixed expense:

Answer: ______________

KSR Learning Series © 2026 Page 3 of 5

Stewardship Economics Assessment

Days 7 & 8 Quizzes

10 Questions total

Day 7 Quiz: Global Trade

1. Goods purchased from neighboring nations are:

[ ] Imports

[ ] Exports

2. Specialization helps countries trade at lower:

[ ] Opportunity costs

[ ] Total output volumes

3. True or False: Trade barriers raise domestic prices.

[ ] True

[ ] False

4. Absolute advantage is based strictly on higher:

[ ] Physical output efficiency

[ ] Opportunity cost ratios

5. What is the opposite term of imports?

Answer: ______________

Day 8 Quiz: Market Shifts

1. Cheap solar technology shifts factory Supply:

[ ] Rightward

[ ] Leftward

2. An increase in consumer wealth shifts Demand:

[ ] Rightward

[ ] Leftward

3. Supply shifts leftward. Equilibrium price:

[ ] Increases

[ ] Decreases

4. A shift left on any curve always represents:

[ ] A decrease

[ ] An increase

5. What factor shifts demand but is NOT price?

Answer: ______________

KSR Learning Series © 2026 Page 4 of 5

Stewardship Economics Assessment

Days 9 & 10 Quizzes

10 Questions total

Day 9 Quiz: Business Waves

1. GDP growth wave peaks occur at what stage?

[ ] Peak

[ ] Trough

2. Unemployment reaches maximum at what stage?

[ ] Trough

[ ] Peak

3. Federal Reserve raises discount rate to cool:

[ ] Inflation

[ ] Unemployment

4. Congress cuts taxes during recession. This is:

[ ] Expansionary

[ ] Contractionary

5. What stage follows a contraction wave?

Answer: ______________

Day 10 Quiz: Portfolio review

1. Why is stagflation an economic crisis?

[ ] High inflation + high unemployment

[ ] High GDP + high savings rates

2. A Christian steward is ultimately accountable to:

[ ] God's calling

[ ] Planners' quotas

3. True or False: Interest rate hikes encourage mortgages.

[ ] True

[ ] False

4. Balancing a personal ledger is part of:

[ ] Financial stewardship

[ ] Public command policy

5. What component of GDP represents international trade?

Answer: ______________

KSR Learning Series © 2026 Page 5 of 5

Teacher Feedback Comments: ________________________________________________________________________________
___________________________________________________________________________________________________________

KSR Learning Series © 2026 Page 1 of 1

Run-Time Questioning Checklist:

Check if students actually grasp the underlying principles behind their calculations:

• • "What did you give up?" (Force them to state opportunity costs).
• • "Is this price fair to both?" (Check equilibrium understanding).
• • "Who owns these assets?" (Reinforce the stewardship core).
• • "How does the budget balance?" (Verify spending <= income).

KSR Learning Series © 2026 Page 2 of 2

19. Stage of business cycle where output hits bottom before recovering: __________________

20. The spending formula: Consumer + Investment + Gov + Net Exports is: __________________

Drill 4: Personal Ledger Budgets (5 Questions)

Calculate the balanced values for each personal budget scenario:

21. Tithing Jars:
You earn $180. Under the 10% stewardship rule, how much do you save for charity?

$______

22. Ledger Balance:
Incomes = $450. Fixed expenses = $200. Maximum variable spending allowed is:

$______

23. Interest Balance:
You put $500 in a savings account with a 4% annual interest rate. Find year 1 earnings:

$______

24. Sales Tax:
A business computer costs $600. Sales tax is 6%. Find total sales tax paid:

$______

25. Net Savings:
Total monthly income = $1,200. Tithing = 10%. Fixed expense = $600. Remaining savings:

$______

KSR Learning Series © 2026 Page 2 of 2

• Day 3: 1.Output | 2.Inflation | 3.2 | 4.Contraction | 5.Consumer (C).

• Day 4: 1.Congress | 2.Discount | 3.Raise taxes | 4.Increases | 5.Monetary.

• Day 5: 1.Transfer | 2.Next best | 3.True | 4.Money rise | 5.CPI index.

• Day 6: 1.10% | 2.S ≤ I | 3.Bike benefits | 4.True | 5.Rent.

• Day 7: 1.Imports | 2.Opp costs | 3.True | 4.Output | 5.Exports.

• Day 8: 1.Right | 2.Right | 3.Increases | 4.Decrease | 5.Wealth.

• Day 9: 1.Peak | 2.Trough | 3.Inflation | 4.Expansion | 5.Trough.

• Day 10: 1.Coordinated action | 2.God | 3.False | 4.Stewardship | 5.X-M.

Drill Sheets Answers (25 Questions)

Drill 1: Systems & Trade

1. Command

2. Traditional

3. Market

4. Mixed

5. Sugar output

6. Country A

7. Country A

8. Consumer (C)

9. Imports

10. Exports

Drill 2: Markets

11. Shortage

12. Surplus

13. Rightward

14. Leftward

15. Increases

Drill 3 & 4: Indicators & Budgets

16. Expansion

17. CPI Index

18. Peak

19. Trough

20. GDP Formula

21. 10% × 180 = $18

22. 450 - 200 = $250

23. 500 × 0.04 = $20

24. 600 × 0.06 = $36

25. 1,200 - (120 tithe + 600 fixed) = $480

KSR Learning Series © 2026 Page 2 of 2

Independent Mastery Mission

Prove Your Economic Wisdom!

No more team cards or bartering! Today, you are on an independent mission to complete your Unit 1 portfolio sheet.

Student Grading Checklist:

• 1. Classify scarcity opportunity costs.

• 2. Graph supply and demand curves.

• 3. Locate macroeconomic wave peaks.

• 4. Apply expansionary fiscal stabilizers!

Stewardship Economics Elective Verify your indicators and secure your star tokens! Good luck!

DAY 6 GAME

The Personal Finance Ledger Game

15 Minute Game Limit

Balance Your Household Ledger!

Rangers receive income and variable spending cards (e.g. food bills, book purchases).

Rule 1: Always allocate exactly 10% to your stewardship tithing jar.

Rule 2: Ensure total spending does not exceed remaining income!

No guess rule: Show your balanced ledgers before scoring tithing credits!

DAY 7 GAME

The Silk Road Specialization

15 Minute Game Limit

Bartering for Spices & Linen!

Teams represent trading outposts. Determine your comparative advantages.

• Country A produces 1 linen in 2 hours.

• Country B produces 1 linen in 5 hours.

• Specialise in what you do most efficiently, and trade!

No guess rule: Calculate opportunity cost advantages before bartering!

DAY 8 GAME

The Shift Maker Game

15 Minute Game Limit

Flip the Crisis Cards!

Event cards flip showing major market changes (drought, new tech).

• Draw the correct supply or demand curve shift on your whiteboard.

• Predict whether prices will rise or fall. Higher accuracy wins!

No guess rule: Show the correct curve arrow shift to qualify!

DAY 9 GAME

The Business Cycle Match

15 Minute Game Limit

Map the National Growth Wave!

Economic indicators are fluctuating. Match the indicators to their correct cycle phase!

• Station 1: GDP has fallen for 6 months → Recession!

• Station 2: Consumer confidence is peak → Peak!

No guess rule: Provide a logical explanation before mapping!

DAY 10

The Stewardship Portfolio Showdown!

Independent Mastery Mission

The Ultimate Financial Case Study!

No more group games! Today, you are on an independent mission to complete and defend your Stewardship Economics portfolio.

Student Grading Checklist:

• 1. Calculate tithing ledgers accurately.

• 2. Map supply and demand curves.

• 3. Address stagflation crises logically.

• 4. Apply fiscal stabilizers under recession!

Stewardship Economics Elective Showdown Verify your portfolios and secure your tithing stars! Good luck!

Work individually on your Boss Battle sheet. Check and verify each solution to maximize your score.

Mastery Checklist:

• 1. Distinguish median and mean properties.
• 2. Apply \(1.5 \times IQR\) boundaries to spot outliers.
• 3. Rearrange simple formulas accurately.
• 4. Solve single-variable balances step-by-step.

Data Stewards Block Trust your calculations, stewards! Good luck!

DAY 6

Multi-Step Equations (Level Up)

Objective: Solve variables on both sides

Level up your powers! Solve equations featuring distribution and parentheses on both sides:

Solve: \(3(x + 4) = 2(x + 10)\)

• Distribute: \(3x + 12 = 2x + 20\)

• Shift variable: \(x + 12 = 20\)

• Subtract 12: \(x = 8\)!

Data Stewards Block Verify your final variables in the original equation!

DAY 7

Contextual Inequalities

Objective: Write inequality constraint statements

Translate real-world financial constraints into algebraic inequalities.

"Budget limit is $100. Rent is $40 flat; each item costs $10." → \(10x + 40 \le 100\)!

INEQUALITY BOUNDS

\(10x + 40 \le 100\)

\(10x \le 60\)

\(x \le 6\) items maximum!

Data Stewards Block Remember to choose open/closed boundary circles carefully!

DAY 8

Rearranging Complex Formulas

Objective: Isolate variables algebraically

Stewardship requires managing resources. Use formulas for perimeter or interest and rearrange them to isolate specific inputs.

Perimeter: \(P = 2w + 2h\)

• Solve for Width (w): \(w = \frac{P - 2h}{2}\)

Data Stewards Block Isolate literal terms step-by-step using equal inverse steps!

DAYS 9 & 10

Stewardship Portfolio Defense

Objective: Defend your calculations

The Final Challenge

Review and synthesize median, mean, outliers, balanced equations, literal formulas, and constraints to complete your Year 1 Algebra portfolio!

Portfolio Guidelines:

• 1. Graph distributions and highlight medians.
• 2. Solve multi-step equations with variables on both sides.
• 3. Rearrange literal geometric formulas.
• 4. Translate real-world budgets into inequalities!

Data Stewards Block "Enter into the joy." Trust your equations, and complete the mission!

Data Stewards • Day 5

Unit 1 Mid-Way Review

Fluency Review

Name: _________________

Date: ________

Day 5 Exercises (5 Questions):

1. What represents standard deviation? (Center / Spread): __________

2. Find outlier boundary limits if Q1=5, Q3=15, IQR=10. Lower limit is: ______

3. Solve equation: \(-x + 4 = 10\). Find x: x = ______

4. Solve Simple Interest formula \(I = Prt\) for time (t): t = ____________

5. Solve equation: \(3x - 12 = 0\). Find x: x = ______

Workspace...

KSR Learning Series © 2026 Page 5 of 10

Data Stewards • Day 6

Variables on Both Sides

NC.M1.A-REI.1

Name: _________________

Date: ________

Day 6 Exercises (5 Questions):

1. Solve: \(3(x + 4) = 2(x + 10)\). Find x: x = ______

2. Solve: \(2(x + 3) = 14\). Find x: x = ______

3. State solution type for: \(3x + 5 = 3x + 12\): ______

4. State solution type for: \(x + 4 = x + 4\): ______

5. Solve: \(5x + 8 = 3x + 18\). Find x: x = ______

Workspace...

KSR Learning Series © 2026 Page 6 of 10

Data Stewards • Day 7

Inequality Constraints

NC.M1.A-CED.1

Name: _________________

Date: ________

Day 7 Exercises (5 Questions):

1. Solve inequality: \(-2x + 8 > 14\). Find x limit: x < ______

2. Budget maximum is $120. Service fee $50. Rate is $10. Inequality is: 10x + 50 ≤ 120

3. Solve inequality: \(10x + 50 \le 120\). Find x limit: x ≤ ______

4. Solve inequality: \(4x - 9 \le 11\). Find x limit: x ≤ ______

5. Solve inequality: \(-x + 4 \ge 10\). Find x limit: x ≤ ______

Workspace...

KSR Learning Series © 2026 Page 7 of 10

Data Stewards • Day 8

Literal Geometric Formulas

NC.M1.A-CED.4

Name: _________________

Date: ________

Day 8 Exercises (5 Questions):

1. Solve Perimeter formula \(P = 2w + 2h\) for width (w): w = ____________

2. Solve Area of triangle \(A = \frac{1}{2}bh\) for base (b): b = ____________

3. Solve Circumference \(C = 2\pi r\) for radius (r): r = ____________

4. Solve standard equation \(y = mx + b\) for x: x = ____________

5. Solve distance \(d = rt\) for time (t): t = ____________

Workspace...

KSR Learning Series © 2026 Page 8 of 10

Data Stewards • Day 9

Unit Review Exercises

NC.M1.S-ID / A-CED

Name: _________________

Date: ________

Solve the general review fluency questions:

Day 9 Exercises (5 Questions):

1. Solve the outlier limit for Q1=5, Q3=15 (IQR=10). Lower limit is: ______

2. Solve the equation: \(5x + 12 = 2x + 27\). Find x: x = ______

3. Solve inequality: \(-4x + 12 \ge 28\). Find x limit: x ≤ ______

4. Solve area formula \(A = lw\) for width (w): w = ____________

5. What does SD stand for in statistics? ________________

Workspace...

KSR Learning Series © 2026 Page 9 of 10

Data Stewards • Day 10

Portfolio Design Defense

NC.M1.S-ID / A-CED

Name: _________________

Date: ________

Solve the final portfolio performance math questions:

Day 10 Exercises (5 Questions):

1. Solve balance chase equation: \(40x = 30x + 20\). Find x: x = ______ hours

2. Tithing budget of $400, base fee $150, books cost $25. Max books x: x = ______ books

3. Solve multi-step equation: \(-2(x - 5) = 10\). Find x: x = ______

4. Solve inequality: \(3x + 10 \le x + 30\). Find x: x ≤ ______

5. Solve the formula \(P = 2a + 2b\) for literal variable a: a = ____________

Workspace...

KSR Learning Series © 2026 Page 10 of 10

s = ______________

KSR Learning Series © 2026 Page 2 of 5

Data Stewards Assessment

Days 5 & 6 Quizzes

10 Questions total

Day 5: Mid-Way Review

1. Which describes a standard deviation value?

[ ] Spread of data

[ ] Central middle

2. A value 50 is inside limits [10, 45]. It is:

[ ] An outlier

[ ] Within normal limits

3. Solve: \(-x + 4 = 10\)

[ ] x = -6

[ ] x = 6

4. Solve \(V = lwh\) for height (h):

[ ] h = V / lw

[ ] h = Vlw

5. Solve: \(3x - 12 = 0\)

x = ______________

Day 6: Variables on Both Sides

1. Solve the equation: \(4x + 6 = 2x + 14\)

[ ] x = 4

[ ] x = 8

2. Solve the equation: \(3x + 5 = 3x + 12\)

[ ] No Solution

[ ] Infinite Solutions

3. Solve: \(2(x + 3) = 14\)

[ ] x = 4

[ ] x = 5

4. Equation \(x + 4 = x + 4\) has infinite solutions.

[ ] True

[ ] False

5. Solve: \(5x + 8 = 3x + 18\)

x = ______________

KSR Learning Series © 2026 Page 3 of 5

Data Stewards Assessment

Days 7 & 8 Quizzes

10 Questions total

Day 7: Contextual Inequalities

1. Solve the inequality: \(-2x + 8 > 14\)

[ ] x < -3 (sign flipped!)

[ ] x > -3

2. Maximum budget is $100. Rent is $40. Chair rate is $10. Inequality is:

[ ] 10x + 40 ≤ 100

[ ] 10x + 40 ≥ 100

3. Solve: \(4x - 9 \le 11\)

[ ] x ≤ 5

[ ] x ≤ 4

4. True or False: Dividing by positive numbers flips the sign arrow.

[ ] True

[ ] False

5. Solve: \(-x + 4 \ge 10\)

Answer: ______________

Day 8: Literal Rearranging

1. Solve Perimeter \(P = 2w + 2h\) for width (w):

[ ] w = (P - 2h) / 2

[ ] w = P - 2h

2. Solve Area of triangle \(A = \frac{1}{2}bh\) for base (b):

[ ] b = 2A / h

[ ] b = Ah / 2

3. Solve \(C = 2\pi r\) for radius (r):

[ ] r = C / 2\pi

[ ] r = 2\pi C

4. Solve \(y = mx + b\) for x:

[ ] x = (y - b) / m

[ ] x = y - b - m

5. Solve \(d = rt\) for t:

t = ______________

KSR Learning Series © 2026 Page 4 of 5

Data Stewards Assessment

Days 9 & 10 Quizzes

10 Questions total

Day 9: Stations Review

1. Solve the outlier limit for Q1=5, Q3=15 (IQR=10):

[ ] Lower limit = -10

[ ] Lower limit = 0

2. Solve the equation: \(5x + 12 = 2x + 27\)

[ ] x = 5

[ ] x = 15

3. Solve: \(-4x + 12 \ge 28\)

[ ] x ≤ -4

[ ] x ≥ -4

4. Solve \(A = lw\) for width (w):

[ ] w = A / l

[ ] w = Al

5. What does SD stand for in statistics?

Answer: ______________

Day 10: Portfolio Assessment

1. Solve the budget chase: \(40x = 30x + 20\)

[ ] x = 2

[ ] x = 10

2. A tithing fund of $400, books cost $25, base fee $150. Max books x:

[ ] x = 10 books

[ ] x = 12 books

3. Solve: \(-2(x - 5) = 10\)

[ ] x = 0

[ ] x = 5

4. High school Data Stewards manage resources with:

[ ] Truth & Precision

[ ] Central Quotas

5. Solve the formula \(P = 2a + 2b\) for a:

a = ______________

KSR Learning Series © 2026 Page 5 of 5

KSR Learning Series © 2026 Page 1 of 1

• • "Which metric skews more?" (Verify outlier mean skewing).
• • "Why did you flip the sign?" (Check negative multiplier rules).
• • "How does a literal equation behave?" (Verify variable treatment).
• • "Is your boundary open or closed?" (Check inequality graphing bounds).

KSR Learning Series © 2026 Page 2 of 2

Drill 4: Literal Formula Rearranging (5 Questions)

Rearrange each described algebraic equation to isolate the target literal variable:

21. Simple Interest formula:
Solve \(I = Prt\) for Principal (P):

P = ______

22. Rectangle Perimeter:
Solve \(P = 2w + 2h\) for width (w):

w = ______

23. Distance rate:
Solve \(d = rt\) for time (t):

t = ______

24. Triangle Area:
Solve \(A = \frac{1}{2}bh\) for base (b):

b = ______

25. Circumference:
Solve \(C = 2\pi r\) for radius (r):

r = ______

KSR Learning Series © 2026 Page 2 of 2

• Day 5: 1.Spread | 2.Outlier | 3.x = -6 | 4.h = V/lw | 5.x = 4.

• Day 6: 1.x=4 | 2.No Solution | 3.x=4 | 4.True | 5.x=5.

• Day 7: 1.x < -3 | 2.10x+40 ≤ 100 | 3.x ≤ 5 | 4.False | 5.x ≤ -6.

• Day 8: 1.w = (P-2h)/2 | 2.b = 2A/h | 3.r = C/2\pi | 4.x = (y-b)/m | 5.t = d/r.

• Day 9: 1.0 | 2.x=5 | 3.x ≤ -4 | 4.w = A/l | 5.Standard Deviation.

• Day 10: 1.x=2 | 2.10 books | 3.x=0 | 4.Truth & Precision | 5.a = (P-2b)/2.

Drill Sheets Answers (25 Questions)

Drill 1: Center & Spread

1. Median = 20

2. Mean = 20

3. Mean = 20

4. Median = 20

5. Outlier = 50

6. Mean

7. IQR = 35 - 15 = 20

8. Upper limit = 35 + 30 = 65

9. Lower limit = 15 - 30 = -15

10. YES (70 > 65 limit)

Drill 2: Equations

11. 4x=60 ⇒ x = 15

12. 3x+12=2x+20 ⇒ x = 8

13. 2x=8 ⇒ x = 4

14. 2x=10 ⇒ x = 5

15. -3x=-15 ⇒ x = 5

Drill 3 & 4: Solutions & Rearranging

16. No Solution (7 = 15 is false)

17. Infinite Solutions (8 = 8 is true)

18. One Unique Solution (x = 4)

19. One Unique Solution (x = 10)

20. No Solution (4 = 12 is false)

21. P = I / rt

22. w = (P - 2h) / 2

23. t = d / r

24. b = 2A / h

25. r = C / 2\pi

KSR Learning Series © 2026 Page 2 of 2

A B C A + B + C = 180°

Symmetry Stewards Block Always justify your geometric conclusions with logical reasons!

DAY 5

The Congruence & Symmetry Boss Battle!

Topic: Weekly Assessment

Prove your mastery over translations, reflections, lines of symmetry, SSS/SAS/ASA proofs, and angle sums!

Work independently. Write down your steps and justifications clearly in your assessment ledger.

Mastery Checklist:

• 1. Name coordinate transformations accurately.
• 2. Draw lines of reflection symmetry.
• 3. Select matching SSS/SAS congruence cases.
• 4. Solve missing triangle angles with proofs.

Symmetry Stewards Block Trust your definitions, stewards! Good luck!

DAY 6

Parallel Line Angle Justifications

Objective: Prove transversal angle relationships

Level up your proof powers! When a transversal cuts parallel lines, we prove matching angles are equal:

• Alternate Interior: Congruent (equal).

• Corresponding: Congruent (equal).

• Same-Side Interior: Supplementary (adds to 180°).

Symmetry Stewards Block Transversal crossroad angles match perfectly on parallel paths!

DAY 7

Applying Triangle Angle Sums

Objective: Solve and prove inner/outer angles

Solve complex multi-step angle puzzles inside triangles.

The sum of all interior angles is always 180°. Exterior corner equals the sum of two opposite interior corners!

TRIANGLE INTERIOR BOUNDS

\(A + B + C = 180°\)

If \(A = 50°\) and \(B = 70°\):

\(C = 180 - 120 = 60°\)!

Symmetry Stewards Block Check: Straight line boundary supplementary angles sum to 180°!

DAY 8

Triangle Midsegment Relationships

Objective: Prove midsegment length and balance

A **Midsegment** connects the midpoints of two sides of a triangle.

• Parallel to the base path.

• Midsegment Length = \(\frac{1}{2} \times Base\)!

Mid = 5 Base = 10

Symmetry Stewards Block Midsegments create a smaller, perfectly proportional triangle inside!

DAYS 9 & 10

Symmetry & Congruence Portfolio

Objective: Defend your geometric proofs

A faithful steward defends claims with solid proof. Synthesize transformations, SSS/SAS/ASA, transversals, and midsegments to finalize your Year 2 geometry portfolio!

Portfolio Guidelines:

• 1. Map rigid transformations on coordinate axes.
• 2. Draft complete proofs using triangle congruence.
• 3. Solve transversal alternate angle relationships.
• 4. Calculate midsegment dimensions and explain proofs!

Symmetry Stewards Block Keep your proofs logical, clear, and complete! Excellent work!

3. Exterior angle is 120°. Opposite interior is x and 50°. Find x: x = ______°

4. Straight line boundary angle adjacent to 65° is: ______°

5. True or False: Sum of interior angles of any triangle is constant (180°). ______

Workspace...

KSR Learning Series © 2026 Page 4 of 10

Symmetry Stewards • Day 5

Mid-Way Review Mastery

Fluency Review

Name: _________________

Date: ________

Day 5 Exercises (5 Questions):

1. What transformation maps point (x, y) onto (x + 2, y - 3)? Translation / Reflection

2. A standard rectangle has how many lines of symmetry? ______ lines

3. Two matching angles and included side proves congruence: ASA / SAS / SSS

4. Find third angle of triangle if two are 50° and 50°: ______°

5. What geometric term describes identical twin shapes? Congruent / Similar

Workspace...

KSR Learning Series © 2026 Page 5 of 10

Symmetry Stewards • Day 6

Transversal Angle Proofs

NC.M2.G-CO.9

Name: _________________

Date: ________

Day 6 Exercises (5 Questions):

1. Alternate interior angles on parallel lines are: Equal / Supplementary

2. Same-side interior angles on parallel lines are: Equal / Supplementary

3. Angle 1 measures 115°. What is corresponding Angle 5? ______°

4. Angle A and 115° are straight line supplementary. Find A: ______°

5. What name describes opposite vertex angles? Vertical / Adjacent

Workspace...

KSR Learning Series © 2026 Page 6 of 10

Symmetry Stewards • Day 7

Triangle Angle Applications

NC.M2.G-CO.10

Name: _________________

Date: ________

Day 7 Exercises (5 Questions):

1. Solve the third angle of triangle if two are 45° and 45°: ______°

2. Exterior angle is 120°. Opposite interior is x and 50°. Find x: x = ______°

3. Find exterior angle of triangle if opposite interior are 40° and 60°: ______°

4. True or False: Interior angles sum is always constant (180°). ______

5. Solve straight line supplementary adjacent to 65°: ______°

Workspace...

KSR Learning Series © 2026 Page 7 of 10

Symmetry Stewards • Day 8

Triangle Midsegments

NC.M2.G-CO.10

Name: _________________

Date: ________

Day 8 Exercises (5 Questions):

1. If the triangle bottom base is 18 cm, find the midsegment: ______ cm

2. If the midsegment is 8 cm, find the triangle base: ______ cm

3. Midsegments connect the midpoints of how many sides? ______ sides

4. The midsegment is always parallel to the: Base / Diagonal

5. True or False: Midsegment length can exceed the base length. ______

Workspace...

KSR Learning Series © 2026 Page 8 of 10

Symmetry Stewards • Day 9

Unit Review Exercises

NC.M2.G-CO

Name: _________________

Date: ________

Solve the general review geometry questions:

Day 9 Exercises (5 Questions):

1. A regular hexagon has rotational symmetry angle of: ______°

2. Triangle congruence SSS requires matching congruent: Sides only / Angles only

3. Triangle interior angles sum is always: ______°

4. The midsegment length is always parallel to the: Base / Transversal

5. What does SAS stand for in congruence? ________________

Workspace...

KSR Learning Series © 2026 Page 9 of 10

Symmetry Stewards • Day 10

Portfolio Design Defense

NC.M2.G-CO.8-10

Name: _________________

Date: ________

Solve the final portfolio performance math questions:

Day 10 Exercises (5 Questions):

1. Parallel line angle 1 = 110°. Find alternate interior Angle 6: Angle 6 = ______°

2. Triangle base is 18 cm. Find its midsegment length: ______ cm

3. Solve equation: \(2x + 7 = 15\). Find x: x = ______

4. Symmetry represents balanced geometric design. (TRUE / FALSE): ______

5. Solve straight line supplementary adjacent to 80°: ______°

Workspace...

KSR Learning Series © 2026 Page 10 of 10

[ ] True

[ ] False

4. Straight line boundary angles are supplementary.

[ ] True

[ ] False

5. Solve exterior angle if opposite interior are 40° and 60°:

Angle = ______________°

KSR Learning Series © 2026 Page 2 of 5

Symmetry Stewards Assessment

Days 5 & 6 Quizzes

10 Questions total

Day 5: Mid-Way Review

1. Which is a rigid motion transformation?

[ ] Reflection

[ ] Dilation

2. A standard rectangle has how many lines of symmetry?

[ ] 2 lines

[ ] 4 lines

3. Proving triangle congruence SAS requires:

[ ] SSS matching

[ ] Included Angle

4. Find third angle of triangle if two are 50° and 50°:

[ ] 80°

[ ] 100°

5. What geometric term describes identical twins?

Answer: ______________

Day 6: Transversal Proofs

1. Alternate interior angles on parallel lines are:

[ ] Congruent (equal)

[ ] Supplementary (180°)

2. Same-side interior angles on parallel lines are:

[ ] Congruent (equal)

[ ] Supplementary (180°)

3. Angle 1 measures 115°. What is corresponding Angle 5?

[ ] 115°

[ ] 65°

4. Angle A and 115° are supplementary straight line. Find A:

[ ] 65°

[ ] 115°

5. What name describes opposite vertex angles?

Answer: ______________

KSR Learning Series © 2026 Page 3 of 5

Symmetry Stewards Assessment

Days 7 & 8 Quizzes

10 Questions total

Day 7: Angle Sum Theorems

1. Solve the third angle of triangle if two are 45° and 45°:

[ ] 90°

[ ] 180°

2. Exterior angle is 120°. Opposite interior is x and 50°. Find x:

[ ] x = 70°

[ ] x = 120°

3. Solve: \(4x - 9 \le 11\)

[ ] x ≤ 5

[ ] x ≤ 4

4. True or False: Interior angles sum is always constant (180°).

[ ] True

[ ] False

5. Solve straight line supplementary adjacent to 65°:

Angle = ______________°

Day 8: Triangle Midsegments

1. The midsegment of a triangle is parallel to the:

[ ] Base path

[ ] Slanted side

2. Midsegment length is exactly what fraction of the base?

[ ] One-half (½)

[ ] Two-thirds (2/3)

3. If the triangle base is 18 cm, find the midsegment:

[ ] 9 cm

[ ] 18 cm

4. If the midsegment is 8 cm, find the triangle base:

[ ] 16 cm

[ ] 8 cm

5. Midsegments connect the midpoints of how many sides?

Sides = ______________

KSR Learning Series © 2026 Page 4 of 5

Symmetry Stewards Assessment

Days 9 & 10 Quizzes

10 Questions total

Day 9: Stations Review

1. A regular hexagon has rotational symmetry angle of:

[ ] 60°

[ ] 120°

2. Triangle congruence SSS requires matching congruent:

[ ] Sides only

[ ] Angles only

3. Triangle interior angles sum is always:

[ ] 180°

[ ] 360°

4. The midsegment length is always parallel to the:

[ ] Base

[ ] Transversal

5. What does SAS stand for in congruence?

Answer: ______________

Day 10: Portfolio Assessment

1. Parallel line angle 1 = 110°. Alt interior Angle 6 is:

[ ] 110°

[ ] 70°

2. Triangle base is 18 cm. Find its midsegment length:

[ ] 9 cm

[ ] 18 cm

3. Solve: \(2x + 7 = 15\)

[ ] x = 4

[ ] x = 8

4. Symmetry represents balanced geometric design.

[ ] True

[ ] False

5. Solve straight line supplementary adjacent to 80°:

Angle = ______________°

KSR Learning Series © 2026 Page 5 of 5

Check if students actually grasp the geometric principles behind their calculations:

• • "What is the coordinate rule?" (Verify translation shifts).
• • "Why does SAS work?" (Emphasize included angle importance).
• • "How does the midsegment relate to the base?" (Verify parallel and half-length).
• • "Are alternate interior angles equal?" (Check transversal angle proofs).

KSR Learning Series © 2026 Page 2 of 2

20. True or False: SSA (Side-Side-Angle) proves triangle congruence. __________________

Drill 4: Parallel line & Midsegment Theorems (5 Questions)

Solve the missing values based on parallel and midsegment relationships:

21. Midsegment Base Length:
A triangle midsegment is parallel to the base and exactly half its length. If the base is 24 cm, find midsegment:

______ cm

22. Base from Midsegment:
The midsegment of a triangle is 9 cm. What is the length of the parallel bottom base?

______ cm

23. Alternate Interior Angle:
Angle 3 and Angle 6 are alternate interior. If Angle 3 = 65°, find Angle 6:

______°

24. Corresponding Angle:
Angle 2 and Angle 6 are corresponding on parallel tracks. If Angle 2 = 65°, find Angle 6:

______°

25. Same-Side Interior:
Angle 4 and Angle 6 are same-side interior. If Angle 4 = 115°, find Angle 6 (supplementary):

______°

KSR Learning Series © 2026 Page 2 of 2

• Day 5: 1.Reflection | 2.2 | 3.Included | 4.80° | 5.Congruent.

• Day 6: 1.Congruent | 2.Supplementary | 3.115° | 4.65° | 5.Vertical.

• Day 7: 1.90° | 2.x=70° | 3.x≤5 | 4.True | 5.115°.

• Day 8: 1.Base | 2.One-half | 3.9 cm | 4.16 cm | 5.Two.

• Day 9: 1.60° | 2.Sides only | 3.180° | 4.Base | 5.Side-Angle-Side.

• Day 10: 1.110° | 2.9 cm | 3.x=4 | 4.True | 5.100°.

Drill Sheets Answers (25 Questions)

Drill 1: Transformations

1. (2-3, 5+4) = (-1, 9)

2. Flipped x-axis: (4, -(-3)) = (4, 3)

3. Flipped y-axis: (-(-2), 6) = (2, 6)

4. (-1+5, -1-2) = (4, -3)

5. Rotated 90° CW: (4, -3)

6. NO (dilations scale size)

7. Congruence

8. (-x, y)

9. (x, -y)

10. Rotated 180°: (-1, -1)

Drill 2: Symmetry

11. 4 lines

12. 90°

13. 3 lines

14. 60°

15. Infinite

Drill 3 & 4: Congruence & Proofs

16. SSS

17. SAS

18. ASA

19. HL

20. FALSE (not a congruence shortcut)

21. Midsegment = ½(24) = 12 cm

22. Base = 2 × 9 = 18 cm

23. Alt interior: Angle 6 = Angle 3 = 65°

24. Corresponding: Angle 6 = Angle 2 = 65°

25. Same-Side interior sum 180°: Angle 6 = 65°

KSR Learning Series © 2026 Page 2 of 2

Mastery Checklist:

• 1. Map domain and range on inverse functions.
• 2. Evaluate function notations \(f(x)\) for constants.
• 3. Factor polynomials to locate zero coordinates.
• 4. Apply the Remainder Theorem to isolate divisors!

Kingdom Functions Block Trust your equations, stewards! Good luck!

DAY 6

Analyzing Advanced Graph Features

Objective: Locate turning points and intervals

Level up your graphing powers! Analyze functions for:

• Turning Points: Peaks and troughs.

• Intervals: Where curve is rising or falling.

• End Behavior: As x goes to infinity.

Kingdom Functions Block Every polynomial graph tells a structural, continuous story!

DAY 7

Inverse Function Identifications

Objective: Verify inverse algebraic identities

To prove that function \(g(x)\) is the exact inverse of \(f(x)\), we compose them!

Both compositions must simplify directly to the variable \(x\):

\(f(g(x)) = x\) and \(g(f(x)) = x\)!

Kingdom Functions Block Inverses undo each other, leaving only the original input x!

DAY 8

Polynomial Factor Structures

Objective: Connect structural algebra to zeros

Covenant stewards value structure. A polynomial in factored form reveals its zeros instantly.

Factored form: \(f(x) = (x - 4)(x + 2)^2\)

• Zeros: \(x = 4\) (single) and \(x = -2\) (multiplicity 2)!

Kingdom Functions Block Factored structures expose graph intercepts instantly!

DAYS 9 & 10

Stewardship Functions Portfolio

Objective: Defend your calculations

A faithful steward defends claims with solid algebraic proof. Synthesize domain, range, inverses, polynomial zeros, and the Remainder Theorem to finalize your Year 3 Functions portfolio!

Portfolio Guidelines:

• 1. Map domain and range for inverse functions.
• 2. Evaluate function notations with exact values.
• 3. Apply the Remainder Theorem using polynomial division.
• 4. Locate all polynomial zeros and graph intercepts!

Kingdom Functions Block Keep your proofs logical, clear, and complete! Excellent work!

4. Is \((x - 1)\) a factor of \(f(x) = x^3 - x\)? (Check if remainder is 0): YES / NO

5. Find remainder of \(f(x) = 4x + 10\) divided by \((x + 2)\): R = ______

Workspace...

KSR Learning Series © 2026 Page 4 of 10

Kingdom Functions • Day 5

Unit 1 Mid-Way Review

Fluency Review

Name: _________________

Date: ________

Day 5 Exercises (5 Questions):

1. What is the range of inverse function \(f^{-1}(x)\)? Original Domain / Original Range

2. Evaluate \(f(-2)\) if \(f(x) = 2x^2\): ______

3. True or False: Factored polynomial \(f(x) = x(x - 5)\) has zero at origin. ______

4. Find remainder of \(f(x) = 5\) divided by \((x - 2)\): R = ______

5. What is the inverse function of \(f(x) = x\)? f^-1(x) = ______

Workspace...

KSR Learning Series © 2026 Page 5 of 10

Kingdom Functions • Day 6

Advanced Graph Features

NC.M3.F-IF.7

Name: _________________

Date: ________

Day 6 Exercises (5 Questions):

Analyze the cubic polynomial graph \(f(x) = x^3 - 3x\). Locate intervals:

1. Find y-coordinate of peak turning point at x = -1: y = ______

2. Find y-coordinate of trough turning point at x = 1: y = ______

3. Is the graph increasing on interval \((-1, 1)\)? (YES / NO): ______

4. Is the graph decreasing on interval \((-1, 1)\)? (YES / NO): ______

5. What is the leading degree of a cubic polynomial? ______

Workspace...

KSR Learning Series © 2026 Page 6 of 10

Kingdom Functions • Day 7

Proving Inverse Identities

NC.M3.F-BF.4a

Name: _________________

Date: ________

Day 7 Exercises (5 Questions):

Calculate the inverse formulas \(f^{-1}(x)\) by swapping x and y:

1. Find inverse \(f^{-1}(x)\) for \(f(x) = 2x + 6\): f^-1 = ____________

2. Find inverse \(f^{-1}(x)\) for \(f(x) = 3x - 9\): f^-1 = ____________

3. Find inverse \(f^{-1}(x)\) for \(f(x) = \frac{x}{5}\): f^-1 = ____________

4. Find inverse \(f^{-1}(x)\) for \(f(x) = -x + 4\): f^-1 = ____________

5. Find inverse \(f^{-1}(x)\) for \(f(x) = \frac{x - 3}{2}\): f^-1 = ____________

Workspace...

KSR Learning Series © 2026 Page 7 of 10

Kingdom Functions • Day 8

Polynomial Multiplicities

NC.M3.A-APR.3

Name: _________________

Date: ________

Day 8 Exercises (5 Questions):

1. Given \(f(x) = (x - 4)(x + 2)^2\). List distinct zeros: ______ and ______

2. Find multiplicity of root zero x = 4: ______

3. Find multiplicity of root zero x = -2: ______

4. If root multiplicity is 2, graph touches/bounces on x-axis: TRUE / FALSE

5. If root multiplicity is 1, graph crosses the x-axis: TRUE / FALSE

Workspace...

KSR Learning Series © 2026 Page 8 of 10

Kingdom Functions • Day 9

Unit Review Exercises

NC.M3.F-IF / A-APR

Name: _________________

Date: ________

Solve the general review function questions:

Day 9 Exercises (5 Questions):

1. If we divide \(f(x)\) by \((x + 1)\), the remainder equals: f( ______ )

2. Solve inverse function \(f^{-1}(x)\) for \(f(x) = 3x - 9\): f^-1 = ____________

3. Polynomial \(f(x) = (x - 2)(x + 5)\) has x-intercepts at: (_____,0) and (_____,0)

4. Solve remainder if \(f(x) = x^2 - 4x + 7\) is divided by \((x - 3)\): R = ______

5. What is the leading degree of a cubic polynomial? ______

Workspace...

KSR Learning Series © 2026 Page 9 of 10

Kingdom Functions • Day 10

Functions Portfolio Review

NC.M3.F-IF / A-APR

Name: _________________

Date: ________

Day 10 Exercises (5 Questions):

1. Solve composite \(f(g(2))\) if \(f(x) = x + 3\) and \(g(x) = 2x\): ______

2. Find largest zero x of polynomial \(f(x) = (x - 5)(x + 1)(x - 1)\): x = ______

3. Solve: \(f(x) = 0\) for quadratic \(f(x) = x^2 - 16\): x = ______ and ______

4. Functions map domains onto ranges proportionally. (TRUE / FALSE): ______

5. Solve the formula \(P = 2a + 2b\) for literal variable a: a = ____________

Workspace...

KSR Learning Series © 2026 Page 10 of 10

[ ] False

4. Synthetic division is another valid remainder checker.

[ ] True

[ ] False

5. Find remainder if \(f(x) = x^2 + 3\) is divided by \((x - 1)\):

Remainder = ______________

KSR Learning Series © 2026 Page 2 of 5

Kingdom Functions Assessment

Days 5 & 6 Quizzes

10 Questions total

Day 5: Mid-Way Review

1. The range of a function becomes the inverse's:

[ ] Domain

[ ] Output range

2. Evaluate \(f(-2)\) if \(f(x) = 2x^2\):

[ ] 8

[ ] -8

3. Factored polynomial \(f(x) = x(x - 5)\) has zero at origin.

[ ] True

[ ] False

4. Find remainder of \(f(x) = 5\) divided by \((x - 2)\):

[ ] 5

[ ] 2

5. What is the inverse function of \(f(x) = x\)?

f^-1(x) = ______________

Day 6: Advanced Graph Features

1. Turning points on polynomial graphs represent:

[ ] Peaks and troughs

[ ] X-intercepts only

2. Cubic graph \(f(x) = x^3 - 3x\) has peak turning point at:

[ ] ( -1, 2 )

[ ] ( 1, -2 )

3. Curve is increasing when output values are:

[ ] Rising from left to right

[ ] Falling from left to right

4. Cubic polynomials have at most how many turning points?

[ ] 2 turning points

[ ] 3 turning points

5. Where does a positive cubic graph end on the right?

Answer: ______________

KSR Learning Series © 2026 Page 3 of 5

Kingdom Functions Assessment

Days 7 & 8 Quizzes

10 Questions total

Day 7: Proving Inverses

1. To prove \(g(x)\) is the inverse of \(f(x)\), evaluate:

[ ] f(g(x)) and g(f(x))

[ ] f(x) × g(x)

2. Both compositions must simplify directly to:

[ ] x

[ ] 0

3. Solve inverse \(f^{-1}(x)\) for \(f(x) = 2x + 6\):

[ ] (x - 6) / 2

[ ] x - 3

4. True or False: If f(g(x)) = x, then g(f(x)) is always guaranteed to be x.

[ ] True

[ ] False

5. Solve inverse of \(f(x) = \frac{x}{3}\):

f^-1(x) = ______________

Day 8: Polynomial structures

1. Factored form: \(f(x) = (x - 4)(x + 2)^2\). How many distinct zeros exist?

[ ] 2 zeros (x=4 and x=-2)

[ ] 3 zeros

2. The zero x = -2 has a multiplicity of:

[ ] 2 (touches the x-axis)

[ ] 1 (crosses the x-axis)

3. If a zero has multiplicity 1, the graph at that point:

[ ] Crosses the x-axis

[ ] Touches and bounces off

4. Multiplicity is determined by the factor's exponent.

[ ] True

[ ] False

5. Identify zeros of \(f(x) = (x - 5)^3\):

Zeros = ______________

KSR Learning Series © 2026 Page 4 of 5

Kingdom Functions Assessment

Days 9 & 10 Quizzes

10 Questions total

Day 9: Stations Review

1. If we divide \(f(x)\) by \((x + 1)\), the remainder equals evaluating:

[ ] f(-1)

[ ] f(1)

2. Solve the inverse function \(f^{-1}(x)\) for \(f(x) = 3x - 9\):

[ ] (x + 9) / 3

[ ] x + 3

3. Polynomial \(f(x) = (x - 2)(x + 5)\) has x-intercepts at:

[ ] (2,0) and (-5,0)

[ ] (-2,0) and (5,0)

4. Solve the remainder if \(f(x) = x^2 - 4x + 7\) is divided by \((x - 3)\):

[ ] 4

[ ] 10

5. What is the leading degree of a cubic polynomial?

Degree = ______________

Day 10: Portfolio Assessment

1. Solve the composite value \(f(g(2))\) if \(f(x) = x + 3\) and \(g(x) = 2x\):

[ ] 7

[ ] 10

2. Find the largest zero x of polynomial \(f(x) = (x - 5)(x + 1)(x - 1)\):

[ ] x = 5

[ ] x = 1

3. Solve: \(f(x) = 0\) for \(f(x) = x^2 - 16\)

[ ] x = 4, x = -4

[ ] x = 16

4. Functions map domains onto ranges proportionally.

[ ] True

[ ] False

5. Solve the formula \(P = 2a + 2b\) for a:

a = ______________

KSR Learning Series © 2026 Page 5 of 5

The Analogy: "If you are sharing 10 cookies among 3 friends, each gets 3, and there is 1 cookie left over as a remainder. The Remainder Theorem lets us calculate this leftover piece immediately without doing long division!"

Say This: "Rangers! If we divide polynomial \(f(x)\) by \((x - a)\), the leftover remainder is exactly equal to evaluating \(f(a)\)! We drop 'a' straight into our function machine to find the remainder instantly! If the remainder is zero, we've found a perfect divisor factor! It's like finding a key that unlocks the door perfectly!"

Board Drawing: Draw a division symbol with a remainder highlighted in a star.

KSR Learning Series © 2026 Page 2 of 2

20. Factor quadratic \(f(x) = x^2 - 16\) to find its zero intercepts: x = ______ and x = ______

Drill 4: The Remainder Theorem (5 Questions)

Calculate the polynomial remainder (R) using direct function evaluation:

21. Remainder Proof:
Find remainder if \(f(x) = x^2 + 3\) is divided by \((x - 1)\). (Evaluate \(f(1)\)):

R = ______

22. Remainder Proof:
Find remainder if \(f(x) = x^2 - 4x + 7\) is divided by \((x - 3)\). (Evaluate \(f(3)\)):

R = ______

23. Remainder Proof:
Find remainder if \(f(x) = x^3 - 2x^2 + 5\) is divided by \((x - 2)\). (Evaluate \(f(2)\)):

R = ______

24. Factor Check:
Is \((x - 1)\) a factor of \(f(x) = x^3 - x\)? (Check if remainder \(f(1) = 0\)):

YES / NO

25. Polynomial Evaluation:
Find remainder if \(f(x) = 4x + 10\) is divided by \((x + 2)\). (Evaluate \(f(-2)\)):

R = ______

KSR Learning Series © 2026 Page 2 of 2

• Day 3: 1.x-axis | 2.x=2, x=-3 | 3.True | 4.x=3, x=-3 | 5.x-5.

• Day 4: 1.f(2) | 2.5 | 3.True | 4.True | 5.4.

• Day 5: 1.Domain | 2.8 | 3.True | 4.5 | 5.x.

• Day 6: 1.Peaks/troughs | 2.( -1, 2 ) | 3.Rising | 4.2 | 5.Infinity.

• Day 7: 1.f(g(x)) & g(f(x)) | 2.x | 3.(x-6)/2 | 4.True | 5.3x.

• Day 8: 1.2 | 2.2 | 3.Crosses | 4.True | 5.x=5.

• Day 9: 1.f(-1) | 2.(x+9)/3 | 3.(2,0), (-5,0) | 4.4 | 5.3.

• Day 10: 1.7 | 2.x=5 | 3.x=4, x=-4 | 4.True | 5.(P-2b)/2.

Drill Sheets Answers (25 Questions)

Drill 1: Domains & Notation

1. f(4) = 2(4) - 5 = 3

2. f(-2) = (-2)² - 3 = 4 - 3 = 1

3. f(0) = 5 - 3(0) = 5

4. f(2) = 2³ + 2 = 8 + 2 = 10

5. Inverse Domain = [0, 20]

6. Inverse Range = [-3, 8]

7. Inverse pairs: (5, 1) and (10, 2)

8. FALSE (must be 1-to-1)

9. y = x

10. f(g(2)) = f(4) = 4 + 3 = 7

Drill 2: Finding Inverses

11. x = 2y+6 ⇒ f^-1(x) = (x - 6)/2

12. x = 3y-9 ⇒ f^-1(x) = (x + 9)/3

13. x = y/5 ⇒ f^-1(x) = 5x

14. x = -y+4 ⇒ f^-1(x) = -x + 4

15. x = (y-3)/2 ⇒ f^-1(x) = 2x + 3

Drill 3 & 4: Zeros & Remainders

16. Zeros: x = 2 and x = -5

17. Multiplicity = 2 (touches)

18. Multiplicity = 3 (crosses inflecting)

19. Factor: ( x - 5 )

20. Factored (x-4)(x+4) ⇒ Zeros: x = 4 and x = -4

21. R = f(1) = 1^2 + 3 = 4

22. R = f(3) = 3^2 - 4(3) + 7 = 9-12+7 = 4

23. R = f(2) = 2^3 - 2(2^2) + 5 = 8-8+5 = 5

24. R = f(1) = 1^3 - 1 = 0 ⇒ YES

25. R = f(-2) = 4(-2) + 10 = -8 + 10 = 2

KSR Learning Series © 2026 Page 2 of 2