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Math lesson plan · 3rd grade (Year 4 in England) · 45 minutes

Area of rectangles

Geometry

CCSS 3.MD.C.5CCSS 3.MD.C.6CCSS 3.MD.C.7England: Y4 MeasurementEngland: Y5 Measurement

Objective and success criteria

Students will: Area of rectangles.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Arrays and multiplication; Times tables to 12 × 12

Leads to: Area of composite rectilinear shapes; Volume of cuboids (rectangular prisms); Area of triangles

Materials: Rulers and protractors, Squared or dotted paper, Shape cut-outs, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Arrays and multiplication; Times tables to 12 × 12). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 6 × 9 = ? → 54Prompt: Is there a fact you already know that is close?
  2. 4 × 6 = ? → 24Prompt: Is there a fact you already know that is close?
  3. 4 × 9 = ? → 36Prompt: Is there a fact you already know that is close?

Hook · 5 min

  • Show a photo of a building, a tile pattern or a road sign and ask what shapes and angles students can spot.
  • Share the objective: Area of rectangles. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Model one question from the student sheet, thinking aloud.
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.

You do: independent practice · 10 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.

Watch out for

  • Thinking a square turned on its corner is no longer a square.
  • Reading the wrong scale on a protractor.

Support and stretch

Support

  • Review first: Arrays and multiplication.
  • Use concrete materials: rulers and protractors.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Move on to: Area of composite rectilinear shapes; Volume of cuboids (rectangular prisms); Area of triangles.
  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-3.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Area of rectangles

Name

Date

Score/ 8

  1. Question 1

    A rectangle is 8 ft long and 3 ft wide. What is its area in ft²?

    8 ft3 ft

    Answer

  2. Question 2

    Each small square is 1 square unit. A rectangle has 8 rows of 7 squares. What is its area, in square units?

    Answer

  3. Question 3

    A rectangle has an area of 40 m². One side is 10 m. How long is the other side, in m?

    10 m?

    Answer

  4. Question 4

    A rectangle is 9 ft long and 10 ft wide. What is its area in ft²?

    9 ft10 ft

    Answer

  5. Question 5

    Each small square is 1 square unit. A rectangle has 8 rows of 8 squares. What is its area, in square units?

    Answer

  6. Question 6

    A rectangle has an area of 35 m². One side is 7 m. How long is the other side, in m?

    7 m?

    Answer

  7. Question 7

    A rectangle is 2 cm long and 7 cm wide. What is its area in cm²?

    2 cm7 cm

    Answer

  8. Question 8

    Each small square is 1 square unit. A rectangle has 3 rows of 3 squares. What is its area, in square units?

    Answer

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Answer key: Area of rectangles

  1. 1. 24

  2. 2. 56

  3. 3. 4

  4. 4. 90

  5. 5. 64

  6. 6. 5

  7. 7. 14

  8. 8. 9