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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Cube numbers and the ³ sign

Number sense

CCSS 6.EE.A.1England: Y5 Multiplication and division

Objective and success criteria

Students will: Cube numbers and the ³ sign.

  • 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: Square numbers and the ² sign

Leads to: Calculate with squares and cubes; Volume by counting layers of unit cubes

Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Square numbers and the ² sign). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is 12²? → 144Prompt: 12² means 12 × 12, not 12 × 2.
  2. Which of these is a square number? (104 / 101 / 100 / 99) → 100Prompt: A square number is a number times itself.
  3. Ana says 6² = 12. Spot the mistake. What is 6²? → 36Prompt: 12 is 6 × 2. Is that what the ² means?

Hook · 5 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Cube numbers and the ³ sign. 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.
  • Example: What is 2³?
  • Step 1: 2 × 2 = 4
  • Step 2: 4 × 2 = 8
  • Answer: 8
  • 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.
  1. What is 1³? → 1Prompt: 1³ means 1 × 1 × 1.
  2. Which of these is a cube number? (250 / 123 / 48 / 125) → 125Prompt: Cube numbers: 1, 8, 27, …

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.
  1. Which of these is a cube number? (125 / 250 / 123 / 126) → 125Prompt: Cube numbers: 1, 8, 27, …
  2. What is 4³? → 64Prompt: 4³ means 4 × 4 × 4.

Watch out for

  • Reading 1,045 as one thousand four hundred five: point to each place and say its value.
  • Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).

Support and stretch

Support

  • Review first: Square numbers and the ² sign.
  • Use concrete materials: place value chart.
  • 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: Calculate with squares and cubes; Volume by counting layers of unit cubes.
  • 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-4.

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

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Cube numbers and the ³ sign

Name

Date

Score/ 8

  1. Question 1

    Zoe builds a large cube from small unit cubes. Each edge is 2 cubes long. How many small cubes are used?

    Answer

  2. Question 2

    What is 3³?

    Answer

  3. Question 3

    Which of these is a cube number?

    • A. 25
    • B. 54
    • C. 27
    • D. 28
  4. Question 4

    Ana builds a large cube from small unit cubes. Each edge is 5 cubes long. How many small cubes are used?

    Answer

  5. Question 5

    What is 1³?

    Answer

  6. Question 6

    Daniel builds a large cube from small unit cubes. Each edge is 2 cubes long. How many small cubes are used?

    Answer

  7. Question 7

    What is 2³?

    Answer

  8. Question 8

    Ethan builds a large cube from small unit cubes. Each edge is 2 cubes long. How many small cubes are used?

    Answer

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Answer key: Cube numbers and the ³ sign

  1. 1. 8

  2. 2. 27

  3. 3. C. 27

  4. 4. 125

  5. 5. 1

  6. 6. 8

  7. 7. 8

  8. 8. 8