Chapter 32: Patterns with Shapes and Colours
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Patterns with Shapes and Colours with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Shape patterns (a Grade 1 idea used in this chapter)
- Colour patterns (a Grade 1 idea used in this chapter)
- Size patterns (a Grade 1 idea used in this chapter)
- Object patterns (a Grade 1 idea used in this chapter)
- Sound patterns (a Grade 1 idea used in this chapter)
- Movement patterns (a Grade 1 idea used in this chapter)
- Translating one pattern into another (a Grade 1 idea used in this chapter)
- Finding the pattern core (a Grade 1 idea used in this chapter)
- Predicting what comes next (a Grade 1 idea used in this chapter)
- Creating your own pattern (a Grade 1 idea used in this chapter)
How to Learn This Chapter
Read or listen to the explanation, use objects or pictures when helpful, follow one step at a time, and try the example again before checking the answer.
32.1 Shape patterns
Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Shape patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Shape patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Shape patterns.
Worked Example 3
Problem: Which tool could help with Shape patterns?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Shape patterns?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Shape patterns in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Shape patterns can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Shape patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.2 Colour patterns
Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Colour patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Colour patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Colour patterns.
Worked Example 3
Problem: Which tool could help with Colour patterns?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Colour patterns?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Colour patterns in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Colour patterns can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Colour patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.3 Size patterns
Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Size patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Size patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Size patterns.
Worked Example 3
Problem: Which tool could help with Size patterns?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Size patterns?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Size patterns in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Size patterns can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Size patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.4 Object patterns
Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Object patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Object patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Object patterns.
Worked Example 3
Problem: Which tool could help with Object patterns?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Object patterns?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Object patterns in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Object patterns can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Object patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.5 Sound patterns
Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Sound patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Sound patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Sound patterns.
Worked Example 3
Problem: Which tool could help with Sound patterns?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Sound patterns?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Sound patterns in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Sound patterns can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Sound patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.6 Movement patterns
Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Movement patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Movement patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Movement patterns.
Worked Example 3
Problem: Which tool could help with Movement patterns?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Movement patterns?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Movement patterns in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Movement patterns can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Movement patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.7 Translating one pattern into another
Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Translating one pattern into another mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Translating one pattern into another.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Translating one pattern into another.
Worked Example 3
Problem: Which tool could help with Translating one pattern into another?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Translating one pattern into another?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Translating one pattern into another in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Translating one pattern into another can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Translating one pattern into another. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.8 Finding the pattern core
Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Finding the pattern core mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Finding the pattern core.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Finding the pattern core.
Worked Example 3
Problem: Which tool could help with Finding the pattern core?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Finding the pattern core?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Finding the pattern core in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Finding the pattern core can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Finding the pattern core. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.9 Predicting what comes next
Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Predicting what comes next mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Predicting what comes next.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Predicting what comes next.
Worked Example 3
Problem: Which tool could help with Predicting what comes next?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Predicting what comes next?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Predicting what comes next in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Predicting what comes next can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Predicting what comes next. Show it with objects, a picture, or numbers, then check by counting or comparing again.
32.10 Creating your own pattern
Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Creating your own pattern mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Worked Example 2
Problem: Show one small example of Creating your own pattern.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: A correct small model or drawing can show the meaning of Creating your own pattern.
Worked Example 3
Problem: Which tool could help with Creating your own pattern?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Creating your own pattern?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Creating your own pattern in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Creating your own pattern can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Look at the pattern: red, blue, red, blue. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: red
Worked Example 7
Problem: Look at the pattern: circle, square, square, circle, square, square. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: circle
Worked Example 8
Problem: Look at the pattern: 1, 2, 1, 2. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: 1
Worked Example 9
Problem: Look at the pattern: clap, stomp, clap, stomp. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: clap
Worked Example 10
Problem: Look at the pattern: A, B, C, A, B, C. What comes next?
- Find the part that repeats.
- Continue the same order.
Very beginner explanation: A repeating pattern follows the same core again and again.
Answer: A
Practice Exercise
Create one small question about Creating your own pattern. Show it with objects, a picture, or numbers, then check by counting or comparing again.
Chapter Notes, Practice, and Common Mistakes
Chapter Notes
- Read or listen to the question before solving.
- Use objects, a drawing, ten frame, number line, table, graph, or simple number sentence when useful.
- Explain your thinking and check by counting, comparing, or using another simple model.
Extra Practice
- Create and solve one original problem about Shape patterns.
- Create and solve one original problem about Colour patterns.
- Create and solve one original problem about Size patterns.
- Create and solve one original problem about Object patterns.
- Create and solve one original problem about Sound patterns.
- Create and solve one original problem about Movement patterns.
Common Mistakes
- Skipping the meaning and trying to memorize a rule only.
- Using the wrong operation because the question was not read completely.
- Ignoring units, labels, place values, or the context of the problem.
- Not estimating or checking whether the final answer is reasonable.
30 Review Questions and Answers
Q1. What is the main idea in Shape patterns?
Answer: Shape patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q2. What is the main idea in Colour patterns?
Answer: Colour patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q3. What is the main idea in Size patterns?
Answer: Size patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q4. What is the main idea in Object patterns?
Answer: Object patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q5. What is the main idea in Sound patterns?
Answer: Sound patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q6. What is the main idea in Movement patterns?
Answer: Movement patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q7. What is the main idea in Translating one pattern into another?
Answer: Translating one pattern into another helps learners notice what repeats or changes and use the rule to tell what comes next.
Q8. What is the main idea in Finding the pattern core?
Answer: Finding the pattern core helps learners notice what repeats or changes and use the rule to tell what comes next.
Q9. What is the main idea in Predicting what comes next?
Answer: Predicting what comes next helps learners notice what repeats or changes and use the rule to tell what comes next.
Q10. What is the main idea in Creating your own pattern?
Answer: Creating your own pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Q11. Why is it useful to use counters or drawings?
Answer: They make the quantities visible and help you understand before using only numbers.
Q12. Why should you count carefully?
Answer: Careful counting means each object is counted once and no object is missed.
Q13. What can you do if a problem feels hard?
Answer: Use smaller numbers, draw a picture, use objects, and solve one small step at a time.
Q14. Why should both sides of an equals sign match?
Answer: The equals sign means the two sides have the same value.
Q15. How can a number line help?
Answer: It shows number order and can help you count forward or backward.
Q16. How can a ten frame help?
Answer: It organizes objects into groups that make numbers and addition easier to see.
Q17. Why are equal shares important?
Answer: Equal shares make fair groups or equal parts.
Q18. How do patterns help us predict?
Answer: A pattern rule tells us what should come next.
Q19. Why do we label a graph or table?
Answer: Labels tell us what the information represents.
Q20. How can you describe a shape?
Answer: Talk about its sides, corners, flat or curved surfaces, and other visible attributes.
Q21. How can you compare two objects?
Answer: Choose one attribute, such as length, mass, or capacity, and compare that same attribute.
Q22. Why is a calendar useful?
Answer: It organizes days, weeks, months, dates, and events.
Q23. Why does money have different values?
Answer: Different coins and bills represent different amounts of money.
Q24. Why should you explain your answer?
Answer: Explaining shows how you thought about the problem and helps you check your reasoning.
Q25. What should you do after a mistake?
Answer: Look at the step again, fix it, and try a similar example.
Q26. How can you be a confident math learner?
Answer: Use positive self-talk, try a strategy, ask questions, and remember that mistakes help you learn.
Q27. When should you use a picture?
Answer: Use a picture when it helps you see quantities, shapes, positions, or a story problem.
Q28. When should you use objects?
Answer: Use objects when you want to count, join, take away, share, sort, or compare in a hands-on way.
Q29. How can you check addition?
Answer: Recount the combined objects or use another model.
Q30. How can you check subtraction?
Answer: Put the taken-away part and the part left back together to see if they make the starting amount.