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Math lesson plan · 4th grade (Year 5 in England) · 60 minutes

Multiplicative comparison (times as many)

Multiplication and division

CCSS 4.OA.A.1CCSS 4.OA.A.2England: Y4 Multiplication and division

Objective and success criteria

Students will: Multiplicative comparison (times as many).

  • 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: Times tables to 12 × 12

Leads to: Scaling problems: times as many and recipes

Materials: Counters for arrays, Multiplication grid, Base-ten blocks, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Times tables to 12 × 12). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 8 × 11 = ? → 88Prompt: Is there a fact you already know that is close?
  2. __ × 12 = 144 → 12Prompt: Which number in the 12 times table gives 144?
  3. Which of these is 12 × 9? (99 / 108 / 118 / 21) → 108Prompt: Use a fact you know and adjust.

Hook · 6 min

  • Show an array of chairs, eggs or windows and ask how many there are without counting one by one.
  • Share the objective: Multiplicative comparison (times as many). Read the success criteria together.

I do: model it · 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Yuki has 4 badges. Arjun has 7 times as many. How many badges does Arjun have?
  • Step 1: 4 × 7 = 28
  • Answer: 28
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 12 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. Sam has 11 badges. Sofia has 6 times as many. How many badges does Sofia have? → 66Prompt: "6 times as many" means multiply by 6.
  2. A giraffe is 77 feet tall. That is 7 times as tall as a child. How tall is the child, in feet? → 11Prompt: The giraffe's height is the bigger amount.

You do: independent practice · 17 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 · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Liam has 5 badges. Daniel has 3 times as many. How many badges does Daniel have? → 15Prompt: "3 times as many" means multiply by 3.
  2. A giraffe is 84 feet tall. That is 7 times as tall as a child. How tall is the child, in feet? → 12Prompt: The giraffe's height is the bigger amount.

Watch out for

  • Thinking multiplying always makes a number bigger.
  • Dropping a zero in long multiplication when moving to the tens row.

Support and stretch

Support

  • Review first: Times tables to 12 × 12.
  • Use concrete materials: counters for arrays.
  • 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: Scaling problems: times as many and recipes.
  • 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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Multiplicative comparison (times as many)

Name

Date

Score/ 8

  1. Question 1

    A giraffe is 30 feet tall. That is 6 times as tall as a child. How tall is the child, in feet?

    Answer

  2. Question 2

    Arjun has 12 badges. Nia has 2 times as many. How many badges does Nia have?

    Answer

  3. Question 3

    A giraffe is 45 feet tall. That is 5 times as tall as a child. How tall is the child, in feet?

    Answer

  4. Question 4

    Ben has 11 badges. Ethan has 4 times as many. How many badges does Ethan have?

    Answer

  5. Question 5

    A giraffe is 9 feet tall. That is 3 times as tall as a child. How tall is the child, in feet?

    Answer

  6. Question 6

    Isla has 3 badges. Chloe has 3 times as many. How many badges does Chloe have?

    Answer

  7. Question 7

    A giraffe is 56 feet tall. That is 7 times as tall as a child. How tall is the child, in feet?

    Answer

  8. Question 8

    Leo has 12 badges. Sam has 7 times as many. How many badges does Sam have?

    Answer

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Answer key: Multiplicative comparison (times as many)

  1. 1. 5

  2. 2. 24

  3. 3. 9

  4. 4. 44

  5. 5. 3

  6. 6. 9

  7. 7. 8

  8. 8. 84