6.GR.1 Lesson 5-3-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

5.3 · Part II

Supported Application · Guided Entry to Today's Problem

Area of Trapezoids · Trapezoid

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 5.3 · Part II
1Area of Trapezoids
2Strategy Model — step by step
  1. A trapezoid is a four-sided shape with one pair of parallel bases
  2. Add the two bases together: (b1 + b2)
  3. Multiply by the perpendicular height, then take half
3Mathematical Word Bank
  • Area of Trapezoids (Área de trapecios) — The space inside a trapezoid. Formula: A = 1/2(b₁ + b₂)h.
  • Trapezoid (Trapecio) — A four-sided shape with just one pair of parallel sides.
  • Parallel (Paralelas) — Two lines or sides that stay the same distance apart and never meet.
  • Base 1 (b1) (Base 1 (b1)) — One of the two parallel sides of a trapezoid.
  • Base 2 (b2) (Base 2 (b2)) — The other parallel side of a trapezoid.
  • Height (Altura) — The straight-up distance between the two parallel sides.
4Watch out
  • A common mistake in Area of Trapezoids is forgetting the ½ in A = ½ × (b1 + b2) × h. After adding the bases and multiplying by the height, students stop there instead of taking half — for example, with bases 6 ft and 10 ft and a height of 4 ft, they compute (6 + 10) × 4 = 64 sq ft instead of taking half to get the correct 32 sq ft. That unhalved number is really the area of the parallelogram made from two trapezoids, not the area of one trapezoid. Before you submit, always ask: "Did I take half of my last answer?"
  1. 1 MULTIPLE CHOICE

    A trapezoid has bases of 5 in and 9 in, and a height of 6 in. What is its area?

    1. A27 sq in
    2. B30 sq in
    3. C42 sq in
    4. D84 sq in
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
  2. 2 MULTIPLE CHOICE

    (Lesson 5.1) What is the area of a parallelogram with base 10 cm and height 7 cm?

    1. A17 sq cm
    2. B34 sq cm
    3. C70 sq cm
    4. D70 cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
  3. 3 MULTIPLE CHOICE

    (Lesson 5.1) A parallelogram has an area of 54 sq ft and a base of 9 ft. What is the height?

    1. A6 ft
    2. B27 ft
    3. C45 ft
    4. D63 ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
Starter: My mathematical claim is that the solution is...
E Evidence
Starter: The evidence from the model/table demonstrates that...
R Reasoning
Starter: This proves my answer because the standard mathematical definition of...
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It
6.GR.1 Lesson 5-3-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

5.3 · Part II

On-Level Application · Standard Rigor

Area of Trapezoids · Trapezoid

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 5.3 · Part II
1Area of Trapezoids
2The Structural Procedure
  1. A trapezoid is a four-sided shape with one pair of parallel bases
  2. Add the two bases together: (b1 + b2)
  3. Multiply by the perpendicular height, then take half
3Mathematical Word Bank
  • Area of Trapezoids (Área de trapecios) — The space inside a trapezoid. Formula: A = 1/2(b₁ + b₂)h.
  • Trapezoid (Trapecio) — A four-sided shape with just one pair of parallel sides.
  • Parallel (Paralelas) — Two lines or sides that stay the same distance apart and never meet.
  • Base 1 (b1) (Base 1 (b1)) — One of the two parallel sides of a trapezoid.
  • Base 2 (b2) (Base 2 (b2)) — The other parallel side of a trapezoid.
  • Height (Altura) — The straight-up distance between the two parallel sides.
4Watch out
  • A common mistake in Area of Trapezoids is forgetting the ½ in A = ½ × (b1 + b2) × h. After adding the bases and multiplying by the height, students stop there instead of taking half — for example, with bases 6 ft and 10 ft and a height of 4 ft, they compute (6 + 10) × 4 = 64 sq ft instead of taking half to get the correct 32 sq ft. That unhalved number is really the area of the parallelogram made from two trapezoids, not the area of one trapezoid. Before you submit, always ask: "Did I take half of my last answer?"
  1. 1 MULTIPLE CHOICE

    Blueprint 1: A trapezoidal lobby window has bases of 6 ft and 10 ft and a height of 4 ft. What is its area for the glass order?

    1. A16 sq ft
    2. B32 sq ft
    3. C40 sq ft
    4. D60 sq ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  2. 2 MULTIPLE CHOICE

    Blueprint 2: A trapezoidal skylight has bases of 9 ft and 7 ft and a height of 6 ft. What is its area?

    1. A44 sq ft
    2. B48 sq ft
    3. C63 sq ft
    4. D96 sq ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 MULTIPLE CHOICE

    Two equal trapezoid windows join to form a parallelogram with area 96 sq ft. What is the area of ONE trapezoid?

    1. A16 sq ft
    2. B48 sq ft
    3. C96 sq ft
    4. D192 sq ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It
6.GR.1 Lesson 5-3-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

5.3 · Part II

Extension & Non-Routine Application

Area of Trapezoids · Trapezoid

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 5.3 · Part II
1Area of Trapezoids
2The Structural Procedure
  1. A trapezoid is a four-sided shape with one pair of parallel bases
  2. Add the two bases together: (b1 + b2)
  3. Multiply by the perpendicular height, then take half
3Mathematical Word Bank
  • Area of Trapezoids (Área de trapecios) — The space inside a trapezoid. Formula: A = 1/2(b₁ + b₂)h.
  • Trapezoid (Trapecio) — A four-sided shape with just one pair of parallel sides.
  • Parallel (Paralelas) — Two lines or sides that stay the same distance apart and never meet.
  • Base 1 (b1) (Base 1 (b1)) — One of the two parallel sides of a trapezoid.
  • Base 2 (b2) (Base 2 (b2)) — The other parallel side of a trapezoid.
  • Height (Altura) — The straight-up distance between the two parallel sides.
4Watch out
  • A common mistake in Area of Trapezoids is forgetting the ½ in A = ½ × (b1 + b2) × h. After adding the bases and multiplying by the height, students stop there instead of taking half — for example, with bases 6 ft and 10 ft and a height of 4 ft, they compute (6 + 10) × 4 = 64 sq ft instead of taking half to get the correct 32 sq ft. That unhalved number is really the area of the parallelogram made from two trapezoids, not the area of one trapezoid. Before you submit, always ask: "Did I take half of my last answer?"
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    A trapezoidal window has parallel edges of 4 feet and 8 feet and a height of 5 feet. What is its area?

    1. A17 square feet
    2. B20 square feet
    3. C30 square feet
    4. D60 square feet
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 2 OPEN RESPONSE

    Design a trapezoid whose area is exactly 24 sq ft, where one base is 4 ft LONGER than the other. Give both bases and the height, and show your design checks out. Could a classmate's correct design use different numbers than yours?

    ✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It