6.GR.1 Lesson 5-3-part2 Apply Day · Set B
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5.3 · Part II

Second Practice Form · Independent Application and Spiral Review

Area of Trapezoids · Trapezoid

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■ 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

    (Lesson 5.2) What is the area of a triangle with base 10 cm and height 6 cm?

    1. A30 sq cm
    2. B60 sq cm
    3. C16 sq cm
    4. D30 cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  2. 2 MULTIPLE CHOICE

    (Lesson 5.2) A triangle has an area of 24 sq ft and a base of 8 ft. What is the height?

    1. A6 ft
    2. B3 ft
    3. C16 ft
    4. D12 ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 MULTIPLE CHOICE

    What is the area of a trapezoid with bases 6 cm and 10 cm, and height 4 cm?

    1. A32 sq cm
    2. B64 sq cm
    3. C24 sq cm
    4. D40 sq cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  4. 4 MULTIPLE CHOICE

    A trapezoid has an area of 45 sq ft, bases of 7 ft and 11 ft. What is the height?

    1. A5 ft
    2. B9 ft
    3. C3 ft
    4. D10 ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  5. 5 MULTIPLE CHOICE

    What is the first step when finding the area of a trapezoid?

    1. AAdd the two bases together
    2. BMultiply the two bases
    3. CSubtract the shorter base from the longer base
    4. DDivide the height by 2
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 OPEN RESPONSE

    A trapezoid and a parallelogram both have a height of 8 ft. The trapezoid has bases of 5 ft and 11 ft. The parallelogram has a base of 7 ft. Which shape has the greater area? Explain your reasoning using the formulas.

    ✏️ 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