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Math lesson plan · 2nd grade (Year 3 in England) · 45 minutes

Write equal groups as repeated addition

Multiplication and division

CCSS 2.OA.C.4England: Y2 Multiplication and division

Objective and success criteria

Students will: Write equal groups as repeated addition.

  • 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: Are the groups equal?

Leads to: Arrays: rows, columns and totals; Multiply by 2, 5 and 10 using equal groups

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

Warm-up · 5 min

  • Quick retrieval from earlier learning (Are the groups equal?). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Are these groups equal? ( ■ ■ ■ ■ ■ ) ( ■ ■ ■ ■ ■ ) ( ■ ■ ■ ■ ■ ) ( ■ ■ ■ ■ ■ ) (Yes / No) → YesPrompt: Count each group.
  2. How many must be added to make all the groups equal? ( ♥ ♥ ♥ ♥ ) ( ♥ ♥ ♥ ) ( ♥ ♥ ♥ ♥ ) ( ♥ ♥ ♥ ♥ ) → 1Prompt: Count each group.
  3. Are these groups equal? ( ● ● ) ( ● ● ) ( ● ● ) (Yes / No) → YesPrompt: Count each group.

Hook · 5 min

  • Show an array of chairs, eggs or windows and ask how many there are without counting one by one.
  • Share the objective: Write equal groups as repeated addition. 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: Jamal has 3 bags with 4 apples in each bag. Which addition shows this?
  • Step 1: 4 + 4 + 4 = 12
  • Answer: 4 + 4 + 4
  • 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. Luis has 5 bags with 3 apples in each bag. Which addition shows this? (3 + 3 + 3 + 3 + 3 + 3 / 5 + 3 / 3 + 3 + 3 + 3 + 3 / 3 + 3 + 3 + 3) → 3 + 3 + 3 + 3 + 3Prompt: Write one 3 for each bag.
  2. 3 + 3 + 3 + 3 = ? → 12Prompt: This is 4 groups of 3.

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. 3 × 2 means 3 groups of 2. Work out 3 × 2. → 6Prompt: Write it as an addition: 2 + 2 + 2.
  2. 3 + 3 + 3 + 3 = ? → 12Prompt: This is 4 groups of 3.

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: Are the groups equal?.
  • 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: Arrays: rows, columns and totals; Multiply by 2, 5 and 10 using equal groups.
  • 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-2.

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

eurekami

Write equal groups as repeated addition

Name

Date

Score/ 8

  1. Question 1

    6 × 5 means 6 groups of 5. Work out 6 × 5.

    Answer

  2. Question 2

    Felix has 5 bags with 6 apples in each bag. Which addition shows this?

    • A. 6 + 6 + 6 + 6 + 6 + 6
    • B. 6 + 6 + 6 + 6
    • C. 5 + 6
    • D. 6 + 6 + 6 + 6 + 6

  3. Question 3

    6 + 6 + 6 = ?

    Answer

  4. Question 4

    5 × 5 means 5 groups of 5. Work out 5 × 5.

    Answer

  5. Question 5

    Sofia has 5 bags with 6 apples in each bag. Which addition shows this?

    • A. 6 + 6 + 6 + 6 + 6 + 6
    • B. 5 + 6
    • C. 6 + 6 + 6 + 6
    • D. 6 + 6 + 6 + 6 + 6

  6. Question 6

    6 + 6 + 6 + 6 + 6 = ?

    Answer

  7. Question 7

    6 × 2 means 6 groups of 2. Work out 6 × 2.

    Answer

  8. Question 8

    Liam has 3 bags with 4 apples in each bag. Which addition shows this?

    • A. 3 + 4
    • B. 4 + 4
    • C. 4 + 4 + 4 + 4
    • D. 4 + 4 + 4

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Answer key: Write equal groups as repeated addition

  1. 1. 30

  2. 2. D. 6 + 6 + 6 + 6 + 6

  3. 3. 18

  4. 4. 25

  5. 5. D. 6 + 6 + 6 + 6 + 6

  6. 6. 30

  7. 7. 12

  8. 8. D. 4 + 4 + 4