Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.1

Lesson 5.35.1–5.3 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 5.1–5.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 5.1–5.3: 5.1 Determine the Area of Parallelograms and Rhombuses, 5.2 Determine the Area of Triangles, 5.3 Determine the Area of Trapezoids. Work one example from each lesson, then prove you're caught up in the mixed practice.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Slanted sideSpanish: Lado inclinado A side that leans instead of going straight up and down. It is not the perpendicular height. In a leaning parallelogram, use the dashed 90° height—not the slanted side—in A = b × h.
ParallelogramSpanish: Paralelogramo A four-sided shape with two pairs of parallel sides. Think of a leaning door — the top and bottom are parallel, and the two sides are parallel, like a slanted rectangle
ParallelSpanish: Paralelas Two lines or sides that stay the same distance apart and never meet. the two bases
BaseSpanish: Base Any side of a parallelogram can be the base. Once you pick a base, the height must be measured perpendicular (at a 90° angle) to it. b1 (top), b2 (bottom)
HeightSpanish: Altura The straight-up distance from the base to the top. h, meets bases squarely
PerpendicularSpanish: Perpendicular Two lines that meet to make a square corner (90 degrees). The dashed height meets the base at a square corner — the small 90° box is what makes it perpendicular, not slanted.

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Bases 6 cm and 14 cm, height 5 cm, two matching triangles.

  1. Rectangle: 6 × 5 = 30 cm².
  2. Each triangle base: (14 − 6) ÷ 2 = 4 cm.
  3. Triangles: 2 × (½ × 4 × 5) = 20 cm².

Answer: 30 + 20 = 50 cm²

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

A parallelogram has a base of 9 m and a height of 4 m. Find its area.

Answer:

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • The two parallel bases are and .
  • I decomposed the trapezoid into and .
  • The pieces have areas , , and .
  • The total area is square units because .

Word bank trapezoidparallelbaseheightdecomposerectangletriangleleftoveraddtotalareasquare units

Watch out!A common mistake

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

Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.1

Lesson 5.35.1–5.3 Catch-Up

Catch-UpSkill bridge

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can show I am caught up on Lessons 5.1–5.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 5.1–5.3: 5.1 Determine the Area of Parallelograms and Rhombuses, 5.2 Determine the Area of Triangles, 5.3 Determine the Area of Trapezoids. Work one example from each lesson, then prove you're caught up in the mixed practice.

  1. 1Complete each step, then write the final answer.
    3 m6 m

    A parallelogram has a base of 6 m and a height of 3 m. Find its area.

    Show your work

    Hint Multiply the base by the height.

    Final answer:
  2. 2Complete each step, then write the final answer.

    A parallelogram has a base of 8 in, a height of 2 in and a slanted side of 3 in. Find its area.

    Show your work

    Hint Use the height, not the slanted side.

    Final answer:
  3. 3Complete each step, then write the final answer.
    3 m4 m

    A triangle has a base of 4 m and a height of 3 m. Find its area.

    Show your work

    Hint Multiply the base by the height. Then take half.

    Final answer:
  4. 4Complete each step, then write the final answer.

    A triangle has a base of 10 in and a height of 5 in. Find its area.

    Show your work

    Hint Multiply 10 × 5. Then take half.

    Final answer:
  5. 5Complete each step, then write the final answer.
    4 m5 m1 m

    A trapezoid has bases of 1 m and 5 m. Its height is 4 m. Find its area.

    Show your work

    Hint Add the bases. Multiply by the height. Then take half.

    Final answer:
  6. 6Complete each step, then write the final answer.

    A trapezoid has bases of 3 ft and 9 ft. Its height is 2 ft. Find its area.

    Show your work

    Hint Add 3 + 9 first.

    Final answer:

Explain your thinkingIf you copied this trapezoid, flipped it, and placed it next to the original, what shape would you get? How does this help you find the area?

Sentence starter The area of the trapezoid is 1/2 x (___ + ___) x ___ = 1/2 x ___ x ___ = ___ square feet.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help