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Math lesson plan · 3rd grade (Year 4 in England) · 60 minutes

Number patterns

Algebra

CCSS 3.OA.D.9England: Y3 Number and place valueEngland: Y4 Number and place value

Objective and success criteria

Students will: Number patterns.

  • 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: Skip count by 2s, 5s, 10s and 100s; Add and subtract within 1000

Leads to: Function machines and input–output tables; Linear sequences: the nth term; Find the rule of a number pattern

Materials: Balance scales or a balance drawing, Algebra tiles, Function machine cards, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Skip count by 2s, 5s, 10s and 100s; Add and subtract within 1000). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Count by 100s. What is missing? 300, 400, __, 600, 700 → 500Prompt: How much does the count go up each time?
  2. What is 100 more than 683? → 783Prompt: Which digit changes when you add 100?
  3. Count back by 100s: 900, 800, 700, 600, __ → 500Prompt: Each number is less than the one before. By how much?

Hook · 6 min

  • Show a "think of a number" puzzle and ask the class to work out the starting number.
  • Share the objective: Number patterns. 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: What comes next? 20, 23, 26, 29, __
  • Step 1: The rule is add 3.
  • Step 2: 29 + 3 = 32
  • Answer: 32
  • 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. What comes next? 26, 32, 38, 44, __ → 50Prompt: How much does the pattern go up each time?
  2. Find the missing number: 91, __, 81, 76, 71 → 86Prompt: Is the pattern going up or down? By how much?

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. What comes next? 18, 30, 42, 54, __ → 66Prompt: How much does the pattern go up each time?
  2. What is the rule for this pattern? 6, 8, 10, 12 (Double / Subtract 2 / Add 3 / Add 2) → Add 2Prompt: Look at how you get from each number to the next.

Watch out for

  • Doing an operation to one side of an equation but not the other.
  • Reading 3x as 3 + x, or thinking x always stands for one particular number.

Support and stretch

Support

  • Review first: Skip count by 2s, 5s, 10s and 100s.
  • Use concrete materials: balance scales or a balance drawing.
  • 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: Function machines and input–output tables; Linear sequences: the nth term; Find the rule of a number pattern.
  • 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

Number patterns

Name

Date

Score/ 8

  1. Question 1

    Find the missing number: 144, 139, 134, __, 124

    Answer

  2. Question 2

    What comes next? 34, 44, 54, 64, __

    Answer

  3. Question 3

    What is the rule for this pattern? 6, 12, 24, 48

    • A. Add 4
    • B. Add 3
    • C. Double
    • D. Subtract 3
  4. Question 4

    Find the missing number: 80, __, 58, 47, 36

    Answer

  5. Question 5

    What comes next? 8, 19, 30, 41, __

    Answer

  6. Question 6

    What is the rule for this pattern? 12, 9, 6, 3

    • A. Double
    • B. Subtract 3
    • C. Add 4
    • D. Add 3
  7. Question 7

    Find the missing number: 85, __, 71, 64, 57

    Answer

  8. Question 8

    What comes next? 7, 17, 27, 37, __

    Answer

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Answer key: Number patterns

  1. 1. 129

  2. 2. 74

  3. 3. C. Double

  4. 4. 69

  5. 5. 52

  6. 6. B. Subtract 3

  7. 7. 78

  8. 8. 47