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Math lesson plan Β· 1st grade (Year 2 in England) Β· 45 minutes

Predict a later item in a repeating pattern

Algebra

England: Y1 GeometryEngland: Y2 Geometry

Objective and success criteria

Students will: Predict a later item in a repeating pattern.

  • 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: What comes next? AAB, ABB and ABC patterns

Leads to: the next skill in this area.

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

Warm-up Β· 5 min

  • Quick retrieval from earlier learning (What comes next? AAB, ABB and ABC patterns). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What comes next? β–  β—† β—† β–  β—† β—† β–  ? (β–  / β—† / β–²) β†’ β—†Prompt: Find the part that repeats.
  2. Which part repeats in this pattern? β™₯ β™₯ β—† β™₯ β™₯ β—† β™₯ β™₯ β—† (β™₯ β—† / β—† β—† β™₯ / β™₯ β™₯ β—† / β—† β™₯ β™₯) β†’ β™₯ β™₯ β—†Prompt: Start at the beginning. When does it start again?
  3. What comes next? ● ● β–² ● ● β–² ? (● / β–² / β– ) β†’ ●Prompt: Find the part that repeats.

Hook Β· 5 min

  • Show a "think of a number" puzzle and ask the class to work out the starting number.
  • Share the objective: Predict a later item in a repeating pattern. Read the success criteria together.

I do: model it Β· 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: The pattern keeps going: β—† β—† β˜… β—† β—† β˜… … Which shape is number 11?
  • Step 1: Positions 3, 6, 9, … end a repeat.
  • Step 2: β—†
  • Answer: β—†
  • Pause after each step and ask a student to say what comes next.

We do: guided practice Β· 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. The pattern keeps going: β˜… β˜… β—† β˜… β˜… β—† … Which shape is number 10? (β˜… / β—†) β†’ β˜…Prompt: The pattern repeats every 3 shapes.
  2. Children stand in a line wearing red, yellow, red, yellow, … What colour is child number 11 wearing? (red / yellow) β†’ redPrompt: Which positions are yellow: 2, 4, 6, …?

You do: independent practice Β· 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 Β· 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Children stand in a line wearing green, blue, green, blue, … What colour is child number 17 wearing? (green / blue) β†’ greenPrompt: Which positions are blue: 2, 4, 6, …?
  2. The pattern keeps going: β–  β™₯ β–² β–  β™₯ β–² … Which shape is number 14? (β–  / β™₯ / β–²) β†’ β™₯Prompt: The pattern repeats every 3 shapes.

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: What comes next? AAB, ABB and ABC patterns.
  • 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

  • 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-1.

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

eurekami

Predict a later item in a repeating pattern

Name

Date

Score/ 8

  1. Question 1

    The pattern keeps going: β—† β–² β—† β–² … Which shape is number 8?

    • A. β—†
    • B. β–²
  2. Question 2

    Children stand in a line wearing red, blue, red, blue, … What colour is child number 14 wearing?

    • A. red
    • B. blue
  3. Question 3

    The pattern keeps going: ● β˜… β—† ● β˜… β—† … Which shape is number 15?

    • A. ●
    • B. β˜…
    • C. β—†
  4. Question 4

    Children stand in a line wearing green, yellow, green, yellow, … What colour is child number 18 wearing?

    • A. green
    • B. yellow
  5. Question 5

    The pattern keeps going: β–  β–  ● β–  β–  ● … Which shape is number 9?

    • A. β– 
    • B. ●
  6. Question 6

    Children stand in a line wearing yellow, blue, yellow, blue, … What colour is child number 10 wearing?

    • A. yellow
    • B. blue
  7. Question 7

    The pattern keeps going: β–² ● β–² ● … Which shape is number 8?

    • A. β–²
    • B. ●
  8. Question 8

    Children stand in a line wearing yellow, red, yellow, red, … What colour is child number 13 wearing?

    • A. yellow
    • B. red

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Answer key: Predict a later item in a repeating pattern

  1. 1. B. β–²

  2. 2. B. blue

  3. 3. C. β—†

  4. 4. B. yellow

  5. 5. B. ●

  6. 6. B. blue

  7. 7. B. ●

  8. 8. A. yellow