6.GR.1 Lesson 5-2-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

5.2 · Part II

Supported Application · Guided Entry to Today's Problem

Area of a Triangle · Base

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 5.2 · Part II
1Area of Triangles
2Strategy Model — step by step
  1. Identify the base and the perpendicular height to that base
  2. A triangle is exactly half of a rectangle with the same base and height
  3. Multiply base by height, then divide by 2
3Mathematical Word Bank
  • Area of a Triangle (Área de un triángulo) — The space inside a triangle. A triangle is half of a rectangle with the same base and height, so A = ½ × b × h.
  • Base (Base) — Any side of a triangle can be the base. Once you pick a base, the height must be measured perpendicular (at a 90° angle) to it.
  • Height (Altura) — The straight-up distance from the base to the top corner.
  • Area (Área) — How much space is inside a flat shape.
  • Perpendicular (Perpendicular) — Two lines that meet to make a square corner (90 degrees).
  • Composite figure (Figura compuesta) — A shape made by putting two or more simple shapes together.
4Watch out
  • A common mistake in Area of Triangles is forgetting the ½ — students multiply base × height like a rectangle and stop there, or they use the triangle's slanted side instead of the perpendicular height that's already given. Always check: did I take half, and did I use the straight-up height, not the slanted side?
  1. 1 MULTIPLE CHOICE

    What is the area of a triangle with base 14 ft and height 6 ft?

    1. A42 sq ft
    2. B84 sq ft
    3. C20 sq ft
    4. D42 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?
  2. 2 MULTIPLE CHOICE

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

    1. A70 sq cm
    2. B34 sq cm
    3. C17 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. B45 ft
    3. C63 ft
    4. D27 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 5-2-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

5.2 · Part II

On-Level Application · Standard Rigor

Area of a Triangle · Base

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 5.2 · Part II
1Area of Triangles
2The Structural Procedure
  1. Identify the base and the perpendicular height to that base
  2. A triangle is exactly half of a rectangle with the same base and height
  3. Multiply base by height, then divide by 2
3Mathematical Word Bank
  • Area of a Triangle (Área de un triángulo) — The space inside a triangle. A triangle is half of a rectangle with the same base and height, so A = ½ × b × h.
  • Base (Base) — Any side of a triangle can be the base. Once you pick a base, the height must be measured perpendicular (at a 90° angle) to it.
  • Height (Altura) — The straight-up distance from the base to the top corner.
  • Area (Área) — How much space is inside a flat shape.
  • Perpendicular (Perpendicular) — Two lines that meet to make a square corner (90 degrees).
  • Composite figure (Figura compuesta) — A shape made by putting two or more simple shapes together.
4Watch out
  • A common mistake in Area of Triangles is forgetting the ½ — students multiply base × height like a rectangle and stop there, or they use the triangle's slanted side instead of the perpendicular height that's already given. Always check: did I take half, and did I use the straight-up height, not the slanted side?
  1. 1 MULTIPLE CHOICE

    A triangular window in the firm's lobby has a base of 10 ft and a height of 6 ft. What is its area?

    1. A30 sq ft
    2. B60 sq ft
    3. C16 sq ft
    4. D32 sq ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  2. 2 MULTIPLE CHOICE

    A triangular roof panel on the blueprint has a base of 7 ft and a height of 4 ft. What is its area?

    1. A14 sq ft
    2. B28 sq ft
    3. C11 sq ft
    4. D22 sq ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 MULTIPLE CHOICE

    On the blueprint, a triangular garden bed has a base of 11 ft and a height of 6 ft. What is its area?

    1. A33 sq ft
    2. B66 sq ft
    3. C17 sq ft
    4. D30 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 5-2-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

5.2 · Part II

Extension & Non-Routine Application

Area of a Triangle · Base

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 5.2 · Part II
1Area of Triangles
2The Structural Procedure
  1. Identify the base and the perpendicular height to that base
  2. A triangle is exactly half of a rectangle with the same base and height
  3. Multiply base by height, then divide by 2
3Mathematical Word Bank
  • Area of a Triangle (Área de un triángulo) — The space inside a triangle. A triangle is half of a rectangle with the same base and height, so A = ½ × b × h.
  • Base (Base) — Any side of a triangle can be the base. Once you pick a base, the height must be measured perpendicular (at a 90° angle) to it.
  • Height (Altura) — The straight-up distance from the base to the top corner.
  • Area (Área) — How much space is inside a flat shape.
  • Perpendicular (Perpendicular) — Two lines that meet to make a square corner (90 degrees).
  • Composite figure (Figura compuesta) — A shape made by putting two or more simple shapes together.
4Watch out
  • A common mistake in Area of Triangles is forgetting the ½ — students multiply base × height like a rectangle and stop there, or they use the triangle's slanted side instead of the perpendicular height that's already given. Always check: did I take half, and did I use the straight-up height, not the slanted side?
  1. 1 MULTIPLE CHOICE

    A triangular garden bed has a base of 14 meters and a perpendicular height of 6 meters. What is its area?

    1. A42 square meters
    2. B84 square meters
    3. C20 square meters
    4. D10 square meters
    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