Chapter 31: Repeating Patterns
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Repeating Patterns with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- What is a repeating pattern (a Grade 1 idea used in this chapter)
- Finding what repeats (a Grade 1 idea used in this chapter)
- AB patterns (a Grade 1 idea used in this chapter)
- AAB patterns (a Grade 1 idea used in this chapter)
- ABB patterns (a Grade 1 idea used in this chapter)
- ABC patterns (a Grade 1 idea used in this chapter)
- Extending a pattern (a Grade 1 idea used in this chapter)
- Finding a missing pattern part (a Grade 1 idea used in this chapter)
- Making a repeating pattern (a Grade 1 idea used in this chapter)
- Repeating-pattern review (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.
31.1 What is a repeating pattern
What is a repeating 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 What is a repeating pattern mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: What is a repeating pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: What is a repeating 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 What is a repeating pattern.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: What is a repeating 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 What is a repeating pattern.
Worked Example 3
Problem: Which tool could help with What is a repeating 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: What is a repeating 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 What is a repeating 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: What is a repeating 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 What is a repeating 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: What is a repeating pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: What is a repeating 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 What is a repeating pattern. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.2 Finding what repeats
Finding what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
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 what repeats mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Finding what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Finding what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Worked Example 2
Problem: Show one small example of Finding what repeats.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: A correct small model or drawing can show the meaning of Finding what repeats.
Worked Example 3
Problem: Which tool could help with Finding what repeats?
- 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 what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
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 what repeats?
- 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 what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Finding what repeats 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 what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Finding what repeats can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Finding what repeats with a simple Grade 1 example.
- Use small numbers, objects, or a drawing.
- Explain what the example shows.
Very beginner explanation: Grade 1 learners understand Finding what repeats best through concrete examples and clear words.
Answer: A correct simple example of Finding what repeats.
Worked Example 7
Problem: Show Finding what repeats with a simple Grade 1 example.
- Use small numbers, objects, or a drawing.
- Explain what the example shows.
Very beginner explanation: Grade 1 learners understand Finding what repeats best through concrete examples and clear words.
Answer: A correct simple example of Finding what repeats.
Worked Example 8
Problem: Show Finding what repeats with a simple Grade 1 example.
- Use small numbers, objects, or a drawing.
- Explain what the example shows.
Very beginner explanation: Grade 1 learners understand Finding what repeats best through concrete examples and clear words.
Answer: A correct simple example of Finding what repeats.
Worked Example 9
Problem: Show Finding what repeats with a simple Grade 1 example.
- Use small numbers, objects, or a drawing.
- Explain what the example shows.
Very beginner explanation: Grade 1 learners understand Finding what repeats best through concrete examples and clear words.
Answer: A correct simple example of Finding what repeats.
Worked Example 10
Problem: Show Finding what repeats with a simple Grade 1 example.
- Use small numbers, objects, or a drawing.
- Explain what the example shows.
Very beginner explanation: Grade 1 learners understand Finding what repeats best through concrete examples and clear words.
Answer: A correct simple example of Finding what repeats.
Practice Exercise
Create one small question about Finding what repeats. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.3 AB patterns
AB 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 AB patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: AB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: AB 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 AB patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: AB 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 AB patterns.
Worked Example 3
Problem: Which tool could help with AB 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: AB 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 AB 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: AB 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 AB 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: AB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: AB 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 AB patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.4 AAB patterns
AAB 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 AAB patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: AAB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: AAB 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 AAB patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: AAB 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 AAB patterns.
Worked Example 3
Problem: Which tool could help with AAB 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: AAB 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 AAB 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: AAB 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 AAB 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: AAB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: AAB 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 AAB patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.5 ABB patterns
ABB 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 ABB patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: ABB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: ABB 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 ABB patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: ABB 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 ABB patterns.
Worked Example 3
Problem: Which tool could help with ABB 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: ABB 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 ABB 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: ABB 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 ABB 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: ABB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: ABB 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 ABB patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.6 ABC patterns
ABC 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 ABC patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: ABC patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: ABC 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 ABC patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: ABC 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 ABC patterns.
Worked Example 3
Problem: Which tool could help with ABC 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: ABC 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 ABC 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: ABC 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 ABC 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: ABC patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: ABC 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 ABC patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.7 Extending a pattern
Extending a 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 Extending a pattern mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Extending a pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Extending a 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 Extending a pattern.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Extending a 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 Extending a pattern.
Worked Example 3
Problem: Which tool could help with Extending a 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: Extending a 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 Extending a 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: Extending a 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 Extending a 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: Extending a pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Extending a 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 Extending a pattern. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.8 Finding a missing pattern part
Finding a missing pattern part 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 a missing pattern part mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Finding a missing pattern part helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Finding a missing pattern part 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 a missing pattern part.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding a missing pattern part 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 a missing pattern part.
Worked Example 3
Problem: Which tool could help with Finding a missing pattern part?
- 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 a missing pattern part 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 a missing pattern part?
- 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 a missing pattern part 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 a missing pattern part 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 a missing pattern part helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Finding a missing pattern part 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 a missing pattern part. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.9 Making a repeating pattern
Making a repeating 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 Making a repeating pattern mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Making a repeating pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Making a repeating 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 Making a repeating pattern.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Making a repeating 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 Making a repeating pattern.
Worked Example 3
Problem: Which tool could help with Making a repeating 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: Making a repeating 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 Making a repeating 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: Making a repeating 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 Making a repeating 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: Making a repeating pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Making a repeating 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 Making a repeating pattern. Show it with objects, a picture, or numbers, then check by counting or comparing again.
31.10 Repeating-pattern review
Repeating-pattern review 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 Repeating-pattern review mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Repeating-pattern review helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Repeating-pattern review 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 Repeating-pattern review.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Repeating-pattern review 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 Repeating-pattern review.
Worked Example 3
Problem: Which tool could help with Repeating-pattern review?
- 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: Repeating-pattern review 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 Repeating-pattern review?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Repeating-pattern review 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 Repeating-pattern review 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: Repeating-pattern review helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Repeating-pattern review 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 Repeating-pattern review. 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 What is a repeating pattern.
- Create and solve one original problem about Finding what repeats.
- Create and solve one original problem about AB patterns.
- Create and solve one original problem about AAB patterns.
- Create and solve one original problem about ABB patterns.
- Create and solve one original problem about ABC 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 What is a repeating pattern?
Answer: What is a repeating pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Q2. What is the main idea in Finding what repeats?
Answer: Finding what repeats is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q3. What is the main idea in AB patterns?
Answer: AB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q4. What is the main idea in AAB patterns?
Answer: AAB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q5. What is the main idea in ABB patterns?
Answer: ABB patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q6. What is the main idea in ABC patterns?
Answer: ABC patterns helps learners notice what repeats or changes and use the rule to tell what comes next.
Q7. What is the main idea in Extending a pattern?
Answer: Extending a pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Q8. What is the main idea in Finding a missing pattern part?
Answer: Finding a missing pattern part helps learners notice what repeats or changes and use the rule to tell what comes next.
Q9. What is the main idea in Making a repeating pattern?
Answer: Making a repeating pattern helps learners notice what repeats or changes and use the rule to tell what comes next.
Q10. What is the main idea in Repeating-pattern review?
Answer: Repeating-pattern review 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.