A targeted 6th-grade geometry review unit mastering area of rectangles, parallelograms, triangles, composite polygons, and prism surface area using the four-step F-N-S-L problem-solving framework. Features high-clarity 2D and 3D visual diagrams, 4th-grade reading level accessibility, and dedicated accommodations for exceptional learners.
Question 5: Right Triangle Base and Height meet at the corner box
Base = 6 in Height = 4 in
Base = 6 in, Height = 4 in
F - Formula:
Area = (b × h) ÷ 2
N - Numbers:
(6 × 4) ÷ 2
S - Solve (First: 6 × 4 = 24. Next: 24 ÷ 2 = ?):
L - Label final answer:
Area =
in²
Question 6: Triangle Use the center height line!
Base = 10 cm h = 8 cm
Base = 10 cm, Height = 8 cm
F - Formula:
Area = (b × h) ÷ 2
N - Numbers:
(10 × 8) ÷ 2
S - Solve (First: 10 × 8 = 80. Next: 80 ÷ 2 = ?):
L - Label final answer:
Area =
cm²
Check: Did you remember to cut your answer in half? Page 3 of 5 (Guided)
⭐
Area Study Guide (Guided Edition)
Part 4: Composite Polygons (Break into 2 parts & ADD!)
Name:
🧩 2-Step Plan: Step 1: Find Area A. Step 2: Find Area B. Step 3: Add them!
Total Area = Part A + Part B
Question 7: L-Shaped Figure Two connected rectangles
Box A Box B 5 cm 4 cm 4 cm 2 cm
Box A: 5×4 | Box B: 4×2
F - Formula:
Total = Box A + Box B
N - Numbers:
(5 × 4) + (4 × 2)
S - Solve:
Box A = 20 | Box B = 8 → 20 + 8 = ______
L - Label final answer:
Total Area =
cm²
Question 8: House Shape Roof Triangle + Bottom Rectangle
Roof h = 3 m Base = 8 m h = 4 m
Triangle + Rectangle
F - Formula:
Area = Roof + Bottom
N - Numbers:
Roof: (8×3)÷2 | Bot: 8×4
S - Solve:
Roof = 12 | Bottom = 32 → 12 + 32 = ______
L - Label final answer:
Total Area =
m²
Break complicated shapes into pieces you already know how to solve! Page 4 of 5 (Guided)
⭐
Area Study Guide (Guided Edition)
Part 5: 3D Figures, Nets & Surface Area
Name:
📦
Important 6-Face Rule: A rectangular box net MUST have 6 faces! Count them: Top, Bottom, Front, Back, Left, Right. Add the area of all 6 faces together!
Question 9: 3D Rectangular Box Find total surface area of all 6 faces
Check: Ensure students cut triangle area in half before adding!
Award partial credit if individual sub-shapes are calculated correctly. Answer Key • Page 2 of 3
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Answer Key & Solution Guide
Questions 13–15 & EC Guide (10 Questions) Matrix
Teacher Master Copy
Rule Check for Q13, Q14, Q15: Students MUST account for all 6 faces of the 3D solid!
Q13: 3D Rectangular Prism (l=5, w=3, h=4) Final SA = 94 in²
F: \( SA = 2(lw + lh + wh) \)
N: \( 2(15) + 2(20) + 2(12) \)
S: \( 30 + 40 + 24 = 94 \)
L: 94 in² (all 6 faces)
Q14: Unfolded Net (6 Faces: 5×2, 5×3, 2×3) Final SA = 62 cm²
F: Sum of all 6 faces
N: \( 10 + 15 + 10 + 15 + 6 + 6 \)
S: \( 20 + 30 + 12 = 62 \)
L: 62 cm² (all 6 faces)
Q15: Cube (6 Equal Faces, side = 4 m) Final SA = 96 m²
F: \( SA = 6 \times (s^2) \)
N: \( 6 \times (4 \times 4) \)
S: \( 6 \times 16 = 96 \)
L: 96 m² (6 equal faces)
⭐ EC Modified Study Guide (10 Questions) Quick Key
5 Fewer Questions • Scaffolded Steps
EC Q1 (Rectangle): 50 cm²
Formula: \( 10 \times 5 = 50 \)
EC Q2 (Square): 36 m²
Formula: \( 6 \times 6 = 36 \)
EC Q3 (Parallelogram): 32 in²
Formula: \( 8 \times 4 = 32 \) (ignore 5)
EC Q4 (Parallelogram): 72 cm²
Formula: \( 12 \times 6 = 72 \)
EC Q5 (Right Triangle): 12 in²
Formula: \( (6 \times 4) \div 2 = 12 \)
EC Q6 (Triangle): 40 cm²
Formula: \( (10 \times 8) \div 2 = 40 \)
EC Q7 (L-Shape): 28 cm²
Box A (20) + Box B (8) = 28
EC Q8 (House Shape): 44 m²
Roof (12) + Bottom (32) = 44
EC Q9 (3D Box): 52 in²
6 faces: 24 + 16 + 12 = 52
EC Q10 (Net with 6 Faces): 52 cm²
6 faces: 8+12+8+12+6+6 = 52
Grading Note: Award 1 point per letter (F, N, S, L) to emphasize the math process over just the final answer. Answer Key • Page 3 of 3
Pre-Populated Formula & Number Prompts The "F" and "N" boxes in the EC edition provide the starter equations so students focus energy on computation and unit labeling.
Spacious 2-Question-Per-Page Formatting Large 24pt+ answer lines accommodate dysgraphia, fine-motor challenges, and large handwriting without feeling cramped.
Numbered 6-Face Net Scaffold Every face on the 3D net is pre-numbered 1 to 6 with its individual sub-area, ensuring students visualize all 6 faces before adding.
⚠️ Common Geometry Misconceptions Checklist
Topic
Frequent Student Mistake
Targeted Correction Prompt
Parallelograms
Using the slanted outside side length instead of perpendicular height.
"Find the square corner (right angle). The height always sits on that line!"
Triangles
Forgetting to divide by 2 after multiplying base and height.
"A triangle is half a rectangle. Did you cut your rectangle in half?"
Composite Figures
Multiplying all the numbers around the perimeter instead of splitting.
"Trace the dotted line. Solve Box A first, Box B second, then ADD!"
Prisms & Nets
Calculating only 3 visible faces and forgetting the opposite 3 faces.
"Touch and count all 6 faces: Top/Bottom, Front/Back, Left/Right!"
📊 4-Point F-N-S-L Grading Rubric (Per Question)
1 Pt: Formula (F)
Writes correct general formula for the given shape.
1 Pt: Numbers (N)
Correctly substitutes given values, ignoring distractors.
1 Pt: Solve (S)
Carries out arithmetic accurately with work displayed.
1 Pt: Label (L)
Includes exact correct unit of measure in square units (\( \text{unit}^2 \)).
Parallelogram Formula: \( A = b \times h \) Test Page 2 of 5
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Area & Surface Area Unit Test
Part 3: Area of Triangles (Divide Base × Height by 2!)
Name:
Triangle Formula: \( A = \frac{b \times h}{2} \) Do not forget to divide by 2!
Question 7 Right Triangle
Find the area of this right triangle.
Base = 10 cm Height = 8 cm Side = 12 cm
F - Formula:
N - Numbers plugged in:
S - Solve (Multiply, then divide by 2):
L - Label final answer:
Area =
cm²
Question 8 Acute Triangle
Find the area using the dotted height inside.
Base = 14 in Height = 9 in Side = 11 in Side = 10 in
F - Formula:
N - Numbers plugged in:
S - Solve (Multiply, then divide by 2):
L - Label final answer:
Area =
in²
Question 9 Obtuse Triangle
The height is measured straight down outside the triangle.
Base = 12 ft Height = 6 ft
F - Formula:
N - Numbers plugged in:
S - Solve (Multiply, then divide by 2):
L - Label final answer:
Area =
ft²
Check: Always divide by 2 when finding triangle area! Test Page 3 of 5
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Area & Surface Area Unit Test
Part 4: Polygons & Composite Figures (Split into shapes & add!)
Name:
Strategy: 1. Find Area A. 2. Find Area B. 3. Add them together! Total Area = Area A + Area B
Question 10 L-Shaped Room
Split the shape along the dotted line. Find the total area.
Shape A Shape B b = 7 cm h = 5 cm b = 6 cm h = 3 cm
F - Formula:
Area = Area A + Area B
N - Numbers:
A = (7 × 5) | B = (6 × 3)
S - Solve (Calculate both parts, then add):
L - Label final answer:
Total Area =
cm²
Question 11 Trapezoid
Find the area of this trapezoid.
Top Base (\(b_1\)) = 6 in Bottom Base (\(b_2\)) = 16 in h = 8 in
F - Formula:
\( A = \frac{(b_1 + b_2) \times h}{2} \)
N - Numbers plugged in:
S - Solve (Add bases, multiply by h, divide by 2):
L - Label final answer:
Area =
in²
Question 12 House Wall
Find total area: roof triangle + bottom rectangle.
Roof h = 5 m Base = 12 m h = 6 m
F - Formula:
Area = Triangle + Rectangle
N - Numbers:
Tri: (12×5)÷2 | Rect: (12×6)
S - Solve (Calculate both parts, then add):
L - Label final answer:
Total Area =
m²
Break composite figures into simpler shapes you know how to calculate. Test Page 4 of 5
🧊
Area & Surface Area Unit Test
Part 5: 3D Figures, Nets & Surface Area
Name:
🚨
Important Rule for Nets: A rectangular prism or cube net MUST have exactly 6 faces (Top, Bottom, Front, Back, Left, Right). To find Surface Area, find the area of all 6 faces and add them up!
Question 13 3D Prism
Find the total surface area of all 6 faces of this box.
Length = 6 in Width = 4 in h = 3 in
F - Formula:
\( SA = 2(lw + lh + wh) \)
N - Numbers (3 pairs):
2(6×4) + 2(6×3) + 2(4×3)
S - Solve (Add the areas of all 6 faces):
L - Label final answer:
Surface Area =
in²
Question 14 Unfolded Net (6 Faces)
Count the 6 faces. Find the surface area of this net.
Top (6×2) Back (6×3) Bottom (6×2) Front (6×3) Left (2×3) Right (2×3) 6 Faces Total!
F - Formula:
Sum of all 6 rectangular faces
N - Numbers (6 faces):
12+18+12+18+6+6
S - Solve (Add the area of each face):
L - Label final answer:
Surface Area =
cm²
Question 15 Cube (6 Equal Faces)
A cube has 6 identical square faces with sides of 5 meters.
Side = 5 m Side = 5 m All 6 faces are 5×5
F - Formula:
\( SA = 6 \times (\text{side} \times \text{side}) \)
N - Numbers plugged in:
\( 6 \times (5 \times 5) \)
S - Solve (Find 1 face area, multiply by 6):
L - Label final answer:
Surface Area =
m²
End of Test • Make sure you answered every step (F, N, S, L) for all 15 questions! Test Page 5 of 5
Golden Rule:
Formula: Area = (Base × Height) ÷ 2
Question 5: Right Triangle Base and Height meet at the corner box
Base = 10 cm Height = 8 cm
Base = 10 cm, Height = 8 cm
F - Formula:
Area = (b × h) ÷ 2
N - Numbers:
(10 × 8) ÷ 2
S - Solve (First: 10 × 8 = 80. Next: 80 ÷ 2 = ?):
L - Label final answer:
Area =
cm²
Question 6: Acute Triangle Use the center height line!
Check: Did you remember to cut your answer in half? Test Page 3 of 5 (Guided)
⭐
Area & Surface Area Test (Guided Edition)
Part 4: Composite Polygons & Trapezoids
Name:
🧩 Strategy: Find Area A, find Area B, then ADD them!
Total Area = Part A + Part B
Question 7: L-Shaped Figure Two connected rectangles
Box A Box B 7 cm 5 cm 6 cm 3 cm
Box A: 7×5 | Box B: 6×3
F - Formula:
Total = Box A + Box B
N - Numbers:
(7 × 5) + (6 × 3)
S - Solve:
Box A = 35 | Box B = 18 → 35 + 18 = ______
L - Label final answer:
Total Area =
cm²
Question 8: Trapezoid Top base = 6 in, Bottom base = 16 in
Top = 6 in Bottom = 16 in h = 8 in
Add bases, multiply by 8, divide by 2
F - Formula:
\( A = \frac{(b_1 + b_2) \times h}{2} \)
N - Numbers:
\( \frac{(6 + 16) \times 8}{2} \)
S - Solve:
6 + 16 = 22 | 22 × 8 = 176 | 176 ÷ 2 = ______
L - Label final answer:
Area =
in²
Break complicated shapes into pieces you already know how to solve! Test Page 4 of 5 (Guided)
⭐
Area & Surface Area Test (Guided Edition)
Part 5: 3D Figures, Nets & Surface Area
Name:
📦
Important 6-Face Rule: A rectangular box net MUST have 6 faces! Count them: Top, Bottom, Front, Back, Left, Right. Add the area of all 6 faces together!
Question 9: 3D Rectangular Box Find total surface area of all 6 faces
