Blueprint Basics Teacher Guide Blueprint Basics
TEKS 3.3A, 3.3C, 3.3E • Day 1
Project
FF-001
Project Objective
Students will partition shapes into 2, 3, 4, 6, and 8 equal areas (3.3A). They will identify and name unit fractions as one part of the whole (3.3C) and solve sharing problems using pictorial models (3.3E).
Required Tools
Handout & Exit Ticket
Rulers/Straightedges
Construction Steps
1 The Blueprint Design (10 min)
"Apprentice architects! Each part of our blueprint must be identical in size, or the building will be unstable!"
Demonstrate partitioning a rectangle into 4 equal parts. Introduce Unit Fraction : exactly one part of the whole (3.3C).
2 Measuring the Parts (15 min)
Denominator : The "Total Team" of parts in the whole.Numerator : The "Active Team" (always 1 today).Check : Draw an unequal model. Ask "Is this valid?" (Rigor check for 3.3A).
3 Blueprint Assembly (20 min)
Guide students through sharing metal bars equally among groups (3.3E).
"How can you prove these parts are equal in area?"
"What is the name of just one of these parts?"
Structural Support
Provide pre-partitioned shapes for students with fine motor challenges. Use tiles to overlay models.
Advanced Engineering
Challenge students to partition the same shape into halves then fourths and compare sizes.
© 2026 FRACTION FOUNDRY HQ PROJECT: FF-001
Blueprint Basics Computer Simulation Exit Ticket SHIFT COMPLETION LOG - EXIT TICKET
STATION: FR-01-EXIT
1
2
3
Shift Completion Progress
1
Which statement best describes the fraction 1/6?
A
It represents 1 part of a whole divided into 6 equal parts.
B
It represents 6 parts of a whole divided into 1 equal part.
C
It represents 1 whole divided into 1/6 of a part.
D
It represents 6 wholes divided into 6 equal parts.
2
Which model represents a whole partitioned into exactly fourths?
Choice F
Choice G
Choice H
Choice J
3
Select TWO correct answers.
A welder partitions a metal bar into 8 equal parts. Which two statements are true?
A
The whole is represented by the fraction 8/8.
B
One part of the bar represents the unit fraction 1/1.
C
One part of the bar represents the fraction 1/8.
D
The bar is divided into exactly 1 part.
Review Log
Submit Log
FoundryOS Unit 1 Shift Complete // Blueprint Basics Exit Ticket
Blueprint Basics Answer Key FoundryOS Answer Key
Day 1: Blueprint Basics • Unit 01 Solutions
AK_DAY_01 VERIFIED
Simulation Handout Solutions
Question 01 (3.3C) CONCEPT
Answer: "One section represents 1/8 because it is one of 8 equal parts."
Question 02 (3.3A) MODELING
Answer: Model G (The circle divided into 4 equal quadrants).
Question 03 (3.3E) PARTITIONING
Answer: The Top Bar (Rectangle correctly divided into 6 equal parts).
Simulation Exit Ticket Solutions
1 Fraction Description (3.3C)
Choice A
2 Identify Fourths (3.3A)
Choice F
3 Multi-Select (Select TWO)
✓ The whole is 8/8.
✓ One part is 1/8.
© 2026 FOUNDRYOS_HQ Official Certification Key REF: AK-D1-FINAL
Line Layouts Teacher Guide Line Layouts
TEKS 3.3A, 3.3B • Day 2
Project
FF-002
Project Objective
Students will determine the fraction represented by a point on a number line (3.3B) and represent fractions by partitioning intervals between 0 and 1 into equal parts (3.3A). Focus: 2, 3, 4, 6, 8.
Required Tools
Handout & Exit Ticket
Number Line Rulers
Surveying Steps
1 The Survey Site (10 min)
Draw a line from 0 to 1. Explain: we count distance intervals ("jumps") from 0, not just the marks. If 6 equal jumps make a whole, each jump is 1/6.
2 Reading the Scale (15 min)
TEKS 3.3B : Identify Denominator (total jumps 0 to 1) and Numerator (jumps to Point Z).Rigor Check : Address counting distractors. 5 ticks between 0 and 1 = 6 intervals.
3 Laying the Track (20 min)
Guide students through the handout. Focus on Question 3: explaining the partitioning process rather than just marking the line.
Troubleshooting
Origin Error
Students often include the '0' tick in their count. Model starting the "jump" *at* zero.
Interval Equality
Ensure intervals are equal in length; fractions only represent equal distances of the whole (3.3A).
© 2026 FRACTION FOUNDRY HQ PROJECT: FF-002
Line Layouts Computer Simulation Exit Ticket SITE INSPECTION LOG - EXIT TICKET
STATION: LL-02-EXIT
1
2
Inspection Progress: 100%
1
Which fraction is represented by the point P on the number line?
P
0
1
A
1/3
B
2/3
C
2/2
D
3/2
2
Which number line represents a point at 5/8?
F
G
H
J
Review Later
Submit Log
FoundryOS Unit 2 Shift Complete // Line Layouts Exit Ticket
Line Layouts Answer Key FoundryOS Answer Key
Day 2: Line Layouts • Unit 02 Solutions
AK_DAY_02 VERIFIED 2.6
Simulation Handout
Question 01 (3.3B) POINT ID
Answer: 4/6
Note: Count 6 equal spaces between 0 and 1. Point P is at the end of the 4th space.
Question 02 (3.3A) SCALE ANALYSIS
Answer: Choice F (Number line correctly divided into 8ths with point at 3/8).
Question 03 (Justification) REASONING
Answer: Choice H ("The interval from 0 to 1 is divided into 3 equal parts...")
Simulation Exit Ticket
1 Point P on Number Line (3.3B)
Choice B (2/3)
2 Represent 5/8 (3.3A)
Choice F
© 2026 FOUNDRYOS_HQ Teacher Access Only REF: AK-D2-SIM
Line Layouts Computer Simulation Handout FoundryOS v.2.6 - Lesson 2: Line Layouts
Survey Mode
Surveyor Mode
Virtual Ruler
Scratchpad
System Integrity Review
01
A point is marked on the number line below. Which fraction represents the distance from 0 to point P?
P
Start (0)
End (1)
4/6
1/6
4/5
6/4
02
Which number line shows a point located at 3/8?
Scale F
Scale G
Scale H
Scale J
03
A student partitions a number line into thirds and marks a point at 2/3. Which statement correctly explains why the point is at 2/3?
A. The interval from 0 to 1 is divided into 3 equal parts, and the point is located at the end of the second part.
B. The number line has 2 marks between 0 and 1, so the fraction must be 2/3 because there are 3 numbers total.
C. The point is located at the second tick mark, and counting always starts at the number 1.
D. The distance from 0 to the point is the same as the distance from the point to 1.
Digital Scratchpad
Use this area to sketch your number lines before choosing an answer.
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FoundryOS Simulation Unit // LL-STAAR-RIGOR-V4
System Verification Module
Equivalent Explorers Teacher Guide Equivalent Explorers
Teacher Instruction Guide • Day 3
Project
FF-003
Project Objective
Students will recognize and generate simple equivalent fractions (e.g., 1/2 = 2/4, 4/6 = 2/3) using area models and number lines. They will explain why the fractions are equivalent by showing they represent the same amount of the same whole (TEKS 3.3F, 3.3G).
Required Tools
Handout & Exit Ticket
Fraction Strips
Construction Steps
1 The Interchangeable Parts (10 min)
"If I need a 1/2 size gear, but I only have 1/4 size gears, how many do I need to make the same size? These are equivalent fractions ."
Demonstrate with area models: partition identical rectangles into halves and fourths. Shade 1/2 and 2/4.
2 Finding the Match (15 min)
Same Size, Different Cut : Show that more pieces (larger denominator) mean smaller piece size.Alignment Check : Mark 1/2 and 2/4 on identical number lines to show they land on the same spot.CFU : Ask "Is 1/3 equivalent to 2/3?" (Emphasize visual portion check).
3 Explorer Expedition (20 min)
Guide students through the handout. Focus on active partitioning of the second model to match the first's shaded area. Use straightedges!
Portion vs Parts
Equivalence is about the *amount*, not the count. Focus on the visual "footprint."
Model Fidelity
Students must shade or mark a model to prove equivalence before completing equations.
© 2026 FRACTION FOUNDRY HQ PROJECT: FF-003
Equivalent Explorers Computer Simulation Exit Ticket QUALITY ASSURANCE LOG - EXIT TICKET
STATION: FR-QA-03-EXIT
1
2
Questions Remaining: 0
1
Which statement best explains why 1/2 is equivalent to 2/4?
A
They are equivalent because 2 is half of 4 and 1 is half of 2.
B
They are equivalent because they represent the same portion of the same-sized whole.
C
They are equivalent because the numerators and denominators are different.
D
They are equivalent because any two fractions can be the same if the whole is different sizes.
2
Which model shows a shaded area equivalent to 2/3?
Choice F
Choice G
Choice H
Choice J
Review Log
Submit Log
FoundryOS Unit 3 Shift Complete // Equivalent Explorers Exit Ticket
Equivalent Explorers Answer Key FoundryOS Answer Key
Day 3: Equivalent Explorers • Unit 03 Solutions
AK_DAY_03 VERIFIED 2.6
Simulation Handout
Question 01 (3.3F) STRIPS
Answer: Choice A (Strip showing 2/3 shaded, which is equivalent to 4/6).
Question 02 (3.3G) ALIGNMENT
Answer: 4/6
Teacher Note: Q and R are at the same physical point on the number line.
Question 03 (3.3F) MODELING
Answer: Model A (Correctly shows 4/8, which is equivalent to 1/2 foot).
Simulation Exit Ticket
1 Equivalence Explanation (3.3G)
Choice B
2 Identify Equivalent (3.3F)
Choice F (4/6)
© 2026 FOUNDRYOS_HQ Teacher Access Only REF: AK-D3-SIM
Equivalent Explorers Computer Simulation Handout FoundryOS v.2.6 - Lesson 3: Equivalent Explorers
FR-EE-03
Model Overlay
Scratchpad
Equivalence Verification Module
01
Which fraction strip shows a shaded area equivalent to 4/6?
A
B
C
D
02
Point Q is at 2/3. Point R is equivalent to Point Q but is on a line with 6 equal parts.
Q (2/3)
Point R
What fraction represents Point R?
2/6
4/6
3/6
6/4
03
A worker needs a part that is 1/2 foot long. Which model correctly shows this length in 8ths?
Scale F
Scale G
Scale H
Scale J
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FoundryOS Simulation Unit // EE-STAAR-RIGOR-V3
Foundry Certified Assessment
Comparison Combat Computer Simulation Handout FoundryOS v.2.6 - Lesson 4: Comparison Combat
Combat Mode
Zoom
Scratchpad
Module: TEKS 3.3H
01
Kayla and Doug are playing with blocks in the foundry workshop.
• Kayla has 6 blocks. • Doug has 8 blocks. • Each has 3 yellow blocks.
Which statement best explains who has a greater fraction of yellow blocks?
A. Kayla has a greater fraction because 3/6 > 3/8. Sixths are larger than eighths.
B. Doug has a greater fraction because 3/8 > 3/6. Eighths are larger pieces because 8 is larger.
C. Kayla has a greater fraction because 3/6 < 3/8 and 6 is less than 8.
D. They have the same fraction because they both have exactly 3 yellow blocks.
02
Which comparison is true?
2/3 > 2/4
Choice F
1/8 > 1/2
Choice G
2/6 > 2/3
Choice H
3/8 > 5/8
Choice J
03
Compare 3/4 and 3/6. Which statement correctly justifies the comparison?
H. 3/4 > 3/6 because fourths are larger pieces than sixths.
J. 3/4 < 3/6 because 6 is a larger number than 4.
K. 3/4 = 3/6 because both fractions have a numerator of 3.
L. 3/4 > 3/6 because 3 pieces of anything is a lot.
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FoundryOS Simulation Unit // CC-STAAR-RIGOR-V4
Training Certification Module
Comparison Combat Teacher Guide Comparison Combat
TEKS 3.3H • Day 4
Project
FF-004
Project Objective
Students will compare two fractions with the same numerator or same denominator by reasoning about size (3.3H). They will use symbols (<, >, =) and justify answers using models.
Combat Tools
Combat Steps
1 Weighing the Parts (10 min)
"Foundry Crew! Team A made 1/3 gears. Team B made 1/8 gears. Which is bigger? Remember: more cuts = smaller pieces!" Show area models to verify.
2 Comparison Rules (15 min)
Same Denominator
Same piece size. Count pieces; larger numerator wins. 3/4 > 1/4
Same Numerator
Same number of pieces. Smaller denominator = larger piece. 2/3 > 2/8
3 Combat Zone (20 min)
Walk through the Arena problems. Ask students to "predict" winners by reasoning about piece size before checking models.
Combat Violations
Whole Number Bias
Students think 1/8 > 1/2 because 8 > 2. Use the "Cookie Sharing" analogy to correct.
Symbol Flipping
Remind students the symbol "mouth" opens toward the larger fraction.
© 2026 FRACTION FOUNDRY HQ PROJECT: FF-004
Fraction Face-Off Slides Small Group Reteach
Fraction
Face-Off
Finding Equals & Comparing Sizes
Equivalent Fractions
Size Comparison
Factory Specs
3
4
Numerator
vs
3
4
Denominator
"The LARGER the denominator, the SMALLER the pieces!"
Mirror Machines
Equivalent fractions take up the SAME amount of space.
1/2
=
2/4
=
4/8
"They have different names, but they cover the exact SAME amount of space!"
Track Testing
Equivalent fractions land at the EXACT same spot.
0 1
1/3
2/6
"They land on the EXACT SAME spot. That means they are equal!"
Comparison Scale
Case #1: Same size pieces (Same Denominator)
2/4
<
3/4
"When denominator is same, pieces are same size. More pieces wins!"
Piece Size Riddle
Case #2: Same number of pieces (Same Numerator)
2/3
>
2/8
"Compare the sizes! Thirds are HUGE, eighths are tiny slivers."
Your Turn!
1. Find Equivalent:
1/2
=
?/4
2. Compare Sizes:
3/6
?
3/4
"Use the rules we learned: Piece size matters!"
Fraction Face-Off Handout Fraction Face-Off
Student Guided Practice
NAME:
DATE:
Part 1: Mirror Machines
1. Shade the models to show that 1/2 is equivalent to 3/6.
1/2
3/6
2. Find a fraction equivalent to 2/4 on the number lines.
0 2/4 1
0 1
Equivalent fraction is: ________
Part 2: Comparison Scale
3. Compare 1/4 and 3/4. Shade the strips first.
1/4
3/4
4. Compare 2/3 and 2/8. Think about piece size!
2/3
2/8
NAME:
DATE:
Quick Check Exit Ticket
Complete with <, >, or =
1/2
4/8
Equivalence Check
3/6
3/8
Comparison Check
Think about the pieces and the total amount!
Comparison Combat Computer Simulation Exit Ticket COMBAT DEPLOYMENT LOG - EXIT TICKET
STATION: FR-CC-04-EXIT
1
2
Shift Progress: 100%
1
Which comparison is true?
A
1/2 < 1/4 because 2 is less than 4.
B
2/6 > 2/3 because sixths are larger than thirds.
C
3/8 < 5/8 because 3 parts are less than 5 parts of the same size.
D
4/4 < 2/2 because 4 is greater than 2.
2
Select TWO correct answers.
A student compares 1/2 and 1/8. Which two statements explain why 1/2 is greater than 1/8?
Since the numerators are the same, the fraction with the smaller denominator represents larger pieces.
A whole divided into 2 equal parts has larger parts than a whole divided into 8 equal parts.
8 is a larger number than 2, so the pieces in 1/8 are larger.
Halves are always the largest unit fraction.
Review Log
Submit Log
FoundryOS Simulation Unit Day 4 Exit Ticket // Shift Complete
Comparison Combat Answer Key FoundryOS Answer Key
Day 4: Comparison Combat • Unit 04 Solutions
AK_DAY_04 VERIFIED 2.6
Simulation Handout
Question 01 (3.3H) SIZE REASONING
Answer: Kayla, because 3/6 > 3/8
Note: Both have 3 pieces, but sixths are larger pieces than eighths.
Question 02 (3.3H) TRUE COMPARISON
Answer: Choice F (2/3 > 2/6)
Question 03 (Justification) REASONING
Answer: Choice H ("3/4 > 3/6 because fourths are larger pieces than sixths.")
Simulation Exit Ticket
1 Which comparison is true? (3.3H)
Choice C (3/8 < 5/8)
2 Multi-Select Reasoning (Select TWO)
✓ Smaller denominator = larger pieces
✓ 2 parts > 8 parts
© 2026 FOUNDRYOS_HQ Teacher Access Only REF: AK-D4-SIM
Fraction Face-Off Teacher Guide Teacher Script & Pacing
Lesson: Fraction Face-Off (3.3F, 3.3H)
25-Minute Mini-Lesson
0-5 Mins
Basics
5-15 Mins
Equals
15-22 Mins
Compare
22-25 Mins
Quick
Section Script & Key Prompts Basics Say "Larger denominator = SMALLER pieces. Why? Because we share the whole with more people."
|
| Mirror |
Say "Equivalent means EQUAL. On Prob 1, shade 1/2 and 3/6. They cover the exact same amount of space!"
|
| Lines |
Say "Prob 2: Find 2/4. Look straight down. What fraction is at that same location? (Wait for: 4/8)."
|
| Compare |
Say "Numerators same? Compare piece sizes! Thirds are huge; eighths are tiny slivers. So 2/3 > 2/8."
|
| Check |
Say "Finish the Exit Ticket. Remember to look at how many pieces AND how big those pieces are."
|
Support
Overlay physical fraction strips directly on handout.
Focus on physical distance from 0 on the number lines.
Extension
"How many tenths would you need to make 1/2? (5/10)"
"Why are 1/2, 2/4, 3/6, and 4/8 all equivalent? (All are half)"
Fraction Face-Off Answer Key Answer Key
Fraction Face-Off Handout
Teacher Key
Prob 1
Equivalence (Mirror Machines)
1/2
3/6
Prob 2
Number Line Equivalence
Correct Fraction:
4/8
"Student marks the point at the 4/8 tick (exact middle) of the bottom line, vertically aligned with 2/4."
Prob 3
Same Denominator
1/4 < 3/4
REASON: Pieces are the same size. 3 pieces is greater than 1 piece.
Prob 4
Same Numerator
2/3 > 2/8
REASON: Thirds are much larger chunks than eighths. 2 huge pieces > 2 tiny slivers.
Exit Ticket Key
1/2 = 4/8
Equivalence
3/6 > 3/8
Comparison
Fraction Finale Teacher Guide Fraction Finale
Cumulative Assessment • Day 5
Final Stage
FF-005
Project Objective
Students will review week 1 fraction concepts: partitioning, unit fractions, number lines, equivalence, and comparison. They will complete a 10-question STAAR-aligned Quick Check.
Finale Tools
Final Inspection
1 Foundry Refresher (20 min)
Distribute the Fraction Finale Review Sheet covering key standards from Days 1-4.
Day 1/2: Shape partitioning and line intervals.
Day 3/4: Equivalence models and comparison reasoning.
2 The Quick Check (25 min)
Summative assessment: 10 questions. Ensure students have straightedges for number line questions.
Teacher Note: Read questions aloud if needed for support, but ensure models are interpreted independently.
Post-Inspection Analysis
Use Quick Check data to group students for next week:
Group A (Mastery) : Ready for fractions greater than 1.Group B (Developing) : Focus on 3.3H and 3.3G reasoning.Group C (Intensive) : Reteach 3.3B and partitioning basics.
© 2026 FRACTION FOUNDRY HQ PROJECT: FF-005
Fraction Finale Review Sheet FoundryOS v.2.6 - Lesson 5: Final Review
Review Mode
Inspector Mode
Reference
Scratchpad
Weekly Refresher Certification
01
Day 1 Review Which model is partitioned into exactly 3 equal parts?
A
B
C
02
Day 2 Review Which number line shows a point located at 3/4?
F
G
03
Day 3 Review Model A shows 1/2. Which Model B is equivalent?
Input A:
H
J
04
Day 4 Review Which statement correctly compares 2/3 and 2/6?
A
2/3 > 2/6 because thirds are larger than sixths.
B
2/3 < 2/6 because 6 is a larger number than 3.
Go To Certification Exam
FoundryOS Testing Environment Day 5 Review // Unit Finalization Module
Fraction Finale Quick Check Assessment FoundryOS v.2.6 - FINAL CERTIFICATION EXAM
Final_Certification
Calculator
Scratchpad
10 Questions • Foundry Official
01
A welder partitions a metal strip into 8 equal parts. What is the unit fraction for one part?
A. 1/1
B. 8/1
C. 1/8
D. 8/8
02
Which fraction does Point Z represent?
Z
0
1
F. 4/6
G. 2/6
H. 4/5
J. 6/4
03
Which model shows a shaded area equivalent to 2/3?
Model A
Model B
Model C
Model D
04
Kayla has 6 blocks (3 yellow). Doug has 8 blocks (3 yellow). Who has a greater fraction of yellow blocks?
F. Kayla, because 3/6 > 3/8. Sixths are larger pieces than eighths.
G. Doug, because 3/8 > 3/6. 8 is a larger number than 6.
H. Kayla, because 3/6 < 3/8 and 6 is less than 8.
J. Both are the same because they each have 3 yellow blocks.
05
A crew of 4 workers shares a rectangular metal piece equally. Which model shows the fraction each receives?
Model A
Model B
Model C
Model D
06
Which point represents 2/3?
P
Q
0
1
Point P
Point Q
Point R
Point S
07
Which comparison is true?
A. 1/2 < 1/8
B. 2/4 = 1/2
C. 3/6 > 5/6
D. 2/8 > 2/4
08
Which circle is correctly partitioned into exactly 8 equal parts?
F
G
H
J
09
Compare 1/2 on a number line to 4/8 on a fraction strip. Which statement is true?
A. They are equivalent because they represent the same portion of the same-sized whole.
B. 1/2 is greater because it is on a number line and 4/8 is just a strip.
C. 4/8 is greater because 4 and 8 are larger numbers than 1 and 2.
D. 1/2 is less than 4/8 because there are 8 parts in the strip.
10
A student is representing 5/8 on a number line. How many equal intervals should be between 0 and 1?
F. 5
Fraction Finale Answer Key FoundryOS Answer Key
Day 5: Fraction Finale • Certification Solutions
AK_FINAL STAAR Ready
Certification Exam Solutions
Q1. Unit Fraction (3.3C) C. 1/8
Q6. Point on Line (3.3B) Point Q (2/3)
Q2. Point ID (3.3B) Choice: 4/6
Q7. True Comparison (3.3H) B. 2/4 = 1/2
Q3. Equivalent Model (3.3F) A. (4/6 Model)
Q8. Circle Parts (3.3A) Circle F (8 equal)
Q4. Kayla vs Doug (3.3H) Choice: Kayla... 3/6 > 3/8
Q9. multi-Model (3.3G) A. Equivalent portion
Q5. Metal Share (3.3E) Model A (1/4)
Q10. number Line Scale (3.3A) H. 8 intervals
Weekly Refresher Keys
01. BLUEPRINT BASICS
Choice A (3 equal parts)
02. LINE LAYOUTS
Choice F (Point at 3/4)
03. EQUIVALENT EXPLORERS
Choice H (Model 2/4 shaded)
04. COMPARISON COMBAT
Choice A (2/3 > 2/6)
Rigor Ranking (Certification)
9-10
Master Inspector
7-8
Senior Apprentice
< 7
Trainee (Retrain)
© 2026 FOUNDRYOS_HQ Official Certification Key REF: AK-FINAL-SIM-V2
