Chapter 33: Number Patterns
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Number Patterns with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Counting patterns (a Grade 1 idea used in this chapter)
- Patterns that grow by 1 (a Grade 1 idea used in this chapter)
- Patterns that shrink by 1 (a Grade 1 idea used in this chapter)
- Patterns that grow by 2 (a Grade 1 idea used in this chapter)
- Patterns that grow by 5 (a Grade 1 idea used in this chapter)
- Patterns that grow by 10 (a Grade 1 idea used in this chapter)
- Finding missing numbers (a Grade 1 idea used in this chapter)
- Describing a number pattern (a Grade 1 idea used in this chapter)
- Predicting the next number (a Grade 1 idea used in this chapter)
- Number-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.
33.1 Counting patterns
Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 Counting patterns mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Counting patterns.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Counting patterns.
Worked Example 3
Problem: Which tool could help with Counting 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: Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 Counting 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: Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Counting 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: Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Counting patterns can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Counting patterns. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.2 Patterns that grow by 1
Patterns that grow by 1 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 Patterns that grow by 1 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Patterns that grow by 1 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 1 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 Patterns that grow by 1.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Patterns that grow by 1 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 Patterns that grow by 1.
Worked Example 3
Problem: Which tool could help with Patterns that grow by 1?
- 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: Patterns that grow by 1 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 Patterns that grow by 1?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Patterns that grow by 1 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 Patterns that grow by 1 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: Patterns that grow by 1 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 1 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 Patterns that grow by 1. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.3 Patterns that shrink by 1
Patterns that shrink by 1 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 Patterns that shrink by 1 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Patterns that shrink by 1 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that shrink by 1 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 Patterns that shrink by 1.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Patterns that shrink by 1 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 Patterns that shrink by 1.
Worked Example 3
Problem: Which tool could help with Patterns that shrink by 1?
- 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: Patterns that shrink by 1 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 Patterns that shrink by 1?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Patterns that shrink by 1 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 Patterns that shrink by 1 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: Patterns that shrink by 1 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that shrink by 1 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 Patterns that shrink by 1. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.4 Patterns that grow by 2
Patterns that grow by 2 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 Patterns that grow by 2 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Patterns that grow by 2 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 2 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 Patterns that grow by 2.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Patterns that grow by 2 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 Patterns that grow by 2.
Worked Example 3
Problem: Which tool could help with Patterns that grow by 2?
- 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: Patterns that grow by 2 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 Patterns that grow by 2?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Patterns that grow by 2 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 Patterns that grow by 2 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: Patterns that grow by 2 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 2 can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count by 2 starting at 0 until 2.
- Say 0, then add 2 each time.
Very beginner explanation: Counting by 2 makes pairs.
Answer: 0, 2
Worked Example 7
Problem: Count by 2 starting at 0 until 4.
- Say 0, then add 2 each time.
Very beginner explanation: Counting by 2 makes pairs.
Answer: 0, 2, 4
Worked Example 8
Problem: Count by 2 starting at 0 until 6.
- Say 0, then add 2 each time.
Very beginner explanation: Counting by 2 makes pairs.
Answer: 0, 2, 4, 6
Worked Example 9
Problem: Count by 2 starting at 0 until 8.
- Say 0, then add 2 each time.
Very beginner explanation: Counting by 2 makes pairs.
Answer: 0, 2, 4, 6, 8
Worked Example 10
Problem: Count by 2 starting at 0 until 10.
- Say 0, then add 2 each time.
Very beginner explanation: Counting by 2 makes pairs.
Answer: 0, 2, 4, 6, 8, 10
Practice Exercise
Create one small question about Patterns that grow by 2. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.5 Patterns that grow by 5
Patterns that grow by 5 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 Patterns that grow by 5 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Patterns that grow by 5 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 5 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 Patterns that grow by 5.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Patterns that grow by 5 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 Patterns that grow by 5.
Worked Example 3
Problem: Which tool could help with Patterns that grow by 5?
- 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: Patterns that grow by 5 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 Patterns that grow by 5?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Patterns that grow by 5 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 Patterns that grow by 5 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: Patterns that grow by 5 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 5 can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count by 5 from 0 to 10.
- Start at 0.
- Add 5 each time.
Very beginner explanation: Counting by 5 makes equal jumps of five.
Answer: 0, 5, 10
Worked Example 7
Problem: Count by 5 from 0 to 15.
- Start at 0.
- Add 5 each time.
Very beginner explanation: Counting by 5 makes equal jumps of five.
Answer: 0, 5, 10, 15
Worked Example 8
Problem: Count by 5 from 0 to 20.
- Start at 0.
- Add 5 each time.
Very beginner explanation: Counting by 5 makes equal jumps of five.
Answer: 0, 5, 10, 15, 20
Worked Example 9
Problem: Count by 5 from 0 to 25.
- Start at 0.
- Add 5 each time.
Very beginner explanation: Counting by 5 makes equal jumps of five.
Answer: 0, 5, 10, 15, 20, 25
Worked Example 10
Problem: Count by 5 from 0 to 30.
- Start at 0.
- Add 5 each time.
Very beginner explanation: Counting by 5 makes equal jumps of five.
Answer: 0, 5, 10, 15, 20, 25, 30
Practice Exercise
Create one small question about Patterns that grow by 5. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.6 Patterns that grow by 10
Patterns that grow by 10 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 Patterns that grow by 10 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Patterns that grow by 10 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 10 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 Patterns that grow by 10.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Patterns that grow by 10 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 Patterns that grow by 10.
Worked Example 3
Problem: Which tool could help with Patterns that grow by 10?
- 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: Patterns that grow by 10 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 Patterns that grow by 10?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Patterns that grow by 10 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 Patterns that grow by 10 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: Patterns that grow by 10 helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Patterns that grow by 10 can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count by 10 from 0 to 10.
- Start at 0.
- Add 10 each time.
Very beginner explanation: Counting by 10 follows the tens.
Answer: 0, 10
Worked Example 7
Problem: Count by 10 from 0 to 20.
- Start at 0.
- Add 10 each time.
Very beginner explanation: Counting by 10 follows the tens.
Answer: 0, 10, 20
Worked Example 8
Problem: Count by 10 from 0 to 30.
- Start at 0.
- Add 10 each time.
Very beginner explanation: Counting by 10 follows the tens.
Answer: 0, 10, 20, 30
Worked Example 9
Problem: Count by 10 from 0 to 40.
- Start at 0.
- Add 10 each time.
Very beginner explanation: Counting by 10 follows the tens.
Answer: 0, 10, 20, 30, 40
Worked Example 10
Problem: Count by 10 from 0 to 50.
- Start at 0.
- Add 10 each time.
Very beginner explanation: Counting by 10 follows the tens.
Answer: 0, 10, 20, 30, 40, 50
Practice Exercise
Create one small question about Patterns that grow by 10. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.7 Finding missing numbers
Finding missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 missing numbers mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Finding missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Finding missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Finding missing numbers.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Finding missing numbers.
Worked Example 3
Problem: Which tool could help with Finding missing numbers?
- 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 missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 missing numbers?
- 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 missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Finding missing numbers 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 missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Finding missing numbers can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Finding missing numbers. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.8 Describing a number pattern
Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 Describing a number pattern mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Describing a number pattern.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Describing a number pattern.
Worked Example 3
Problem: Which tool could help with Describing a number 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: Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 Describing a number 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: Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Describing a number 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: Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Describing a number pattern can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Describing a number pattern. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.9 Predicting the next number
Predicting the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 the next number mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Predicting the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Predicting the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Predicting the next number.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Predicting the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Predicting the next number.
Worked Example 3
Problem: Which tool could help with Predicting the next number?
- 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 the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 the next number?
- 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 the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Predicting the next number 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 the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Predicting the next number can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Predicting the next number. Show it with objects, a picture, or numbers, then check by counting or comparing again.
33.10 Number-pattern review
Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 Number-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: Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Number-pattern review.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Number-pattern review.
Worked Example 3
Problem: Which tool could help with Number-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: Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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 Number-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: Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Number-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: Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Number-pattern review can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Number-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 Counting patterns.
- Create and solve one original problem about Patterns that grow by 1.
- Create and solve one original problem about Patterns that shrink by 1.
- Create and solve one original problem about Patterns that grow by 2.
- Create and solve one original problem about Patterns that grow by 5.
- Create and solve one original problem about Patterns that grow by 10.
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 Counting patterns?
Answer: Counting patterns helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q2. What is the main idea in Patterns that grow by 1?
Answer: Patterns that grow by 1 helps learners notice what repeats or changes and use the rule to tell what comes next.
Q3. What is the main idea in Patterns that shrink by 1?
Answer: Patterns that shrink by 1 helps learners notice what repeats or changes and use the rule to tell what comes next.
Q4. What is the main idea in Patterns that grow by 2?
Answer: Patterns that grow by 2 helps learners notice what repeats or changes and use the rule to tell what comes next.
Q5. What is the main idea in Patterns that grow by 5?
Answer: Patterns that grow by 5 helps learners notice what repeats or changes and use the rule to tell what comes next.
Q6. What is the main idea in Patterns that grow by 10?
Answer: Patterns that grow by 10 helps learners notice what repeats or changes and use the rule to tell what comes next.
Q7. What is the main idea in Finding missing numbers?
Answer: Finding missing numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q8. What is the main idea in Describing a number pattern?
Answer: Describing a number pattern helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q9. What is the main idea in Predicting the next number?
Answer: Predicting the next number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q10. What is the main idea in Number-pattern review?
Answer: Number-pattern review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
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.