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Math lesson plan · 3rd grade (Year 4 in England) · 30 minutes

Odd and even: rules for sums and products

Number sense

CCSS 3.OA.D.9England: Y4 Number and place value

Objective and success criteria

Students will: Odd and even: rules for sums and products.

  • 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: Odd and even numbers

Leads to: the next skill in this area.

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

Warm-up · 4 min

  • Quick retrieval from earlier learning (Odd and even numbers). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Is 90 odd or even? (Odd / Even) → EvenPrompt: Only the ones digit matters.
  2. 8 children line up in pairs. Will everyone have a partner? (Yes: the number is even / No: the number is odd) → Yes: the number is evenPrompt: Try sharing the children into two equal lines.
  3. Is 71 odd or even? (Odd / Even) → OddPrompt: Only the ones digit matters.

Hook · 3 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Odd and even: rules for sums and products. Read the success criteria together.

I do: model it · 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Without working it out, is 44 × 76 odd or even?
  • Step 1: 44 is even and 76 is even.
  • Step 2: even
  • Answer: even
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 6 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. Without working it out, is 29 + 38 odd or even? (even / odd) → oddPrompt: even + even = even, odd + odd = even, odd + even = odd.
  2. Is the sum of an odd and an even number always odd or always even? (always even / always odd) → always oddPrompt: Try an example with small numbers.

You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Without working it out, is 24 × 81 odd or even? (even / odd) → evenPrompt: A product is even if at least one number is even.
  2. Is the sum of two even numbers always odd or always even? (always even / always odd) → always evenPrompt: Try an example with small numbers.

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: Odd and even numbers.
  • 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

  • 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

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Odd and even: rules for sums and products

Name

Date

Score/ 6

  1. Question 1

    Without working it out, is 31 + 16 odd or even?

    • A. even
    • B. odd
  2. Question 2

    Is the product of an odd and an even number always odd or always even?

    • A. always even
    • B. always odd
  3. Question 3

    Without working it out, is 20 × 29 odd or even?

    • A. even
    • B. odd
  4. Question 4

    Is the product of two odd numbers always odd or always even?

    • A. always even
    • B. always odd
  5. Question 5

    Without working it out, is 17 × 35 odd or even?

    • A. even
    • B. odd
  6. Question 6

    Is the sum of two even numbers always odd or always even?

    • A. always even
    • B. always odd

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Answer key: Odd and even: rules for sums and products

  1. 1. B. odd

  2. 2. A. always even

  3. 3. A. even

  4. 4. B. always odd

  5. 5. B. odd

  6. 6. A. always even