Chapter 60: Grade 1 Math Review and Mathematical Processes
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Grade 1 Math Review and Mathematical Processes with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Review numbers to 50 (a Grade 1 idea used in this chapter)
- Review addition (a Grade 1 idea used in this chapter)
- Review subtraction (a Grade 1 idea used in this chapter)
- Review equal sharing and fractions (a Grade 1 idea used in this chapter)
- Review patterns and equality (a Grade 1 idea used in this chapter)
- Review coding and modelling (a Grade 1 idea used in this chapter)
- Review data and graphs (a Grade 1 idea used in this chapter)
- Review shapes and measurement (a Grade 1 idea used in this chapter)
- Review calendar and money (a Grade 1 idea used in this chapter)
- Problem solving explaining and checking (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.
60.1 Review numbers to 50
Review numbers to 50 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 Review numbers to 50 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Review numbers to 50 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 Review numbers to 50.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review numbers to 50 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 Review numbers to 50.
Worked Example 3
Problem: Which tool could help with Review numbers to 50?
- 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: Review numbers to 50 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 Review numbers to 50?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review numbers to 50 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 Review numbers to 50 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: Review numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Review numbers to 50 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 Review numbers to 50. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.2 Review addition
Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
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 Review addition mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
Answer: Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
Worked Example 2
Problem: Show one small example of Review addition.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
Answer: A correct small model or drawing can show the meaning of Review addition.
Worked Example 3
Problem: Which tool could help with Review addition?
- 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: Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
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 Review addition?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Review addition 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: Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
Answer: Review addition can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Find 2 + 3.
- Make a group of 2.
- Add 3 more.
- Count all the objects.
Very beginner explanation: Addition puts quantities together.
Answer: 5
Worked Example 7
Problem: Find 4 + 1.
- Make a group of 4.
- Add 1 more.
- Count all the objects.
Very beginner explanation: Addition puts quantities together.
Answer: 5
Worked Example 8
Problem: Find 5 + 2.
- Make a group of 5.
- Add 2 more.
- Count all the objects.
Very beginner explanation: Addition puts quantities together.
Answer: 7
Worked Example 9
Problem: Find 6 + 3.
- Make a group of 6.
- Add 3 more.
- Count all the objects.
Very beginner explanation: Addition puts quantities together.
Answer: 9
Worked Example 10
Problem: Find 8 + 2.
- Make a group of 8.
- Add 2 more.
- Count all the objects.
Very beginner explanation: Addition puts quantities together.
Answer: 10
Practice Exercise
Create one small question about Review addition. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.3 Review subtraction
Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
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 Review subtraction mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
Answer: Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
Worked Example 2
Problem: Show one small example of Review subtraction.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
Answer: A correct small model or drawing can show the meaning of Review subtraction.
Worked Example 3
Problem: Which tool could help with Review subtraction?
- 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: Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
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 Review subtraction?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Review subtraction 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: Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
Answer: Review subtraction can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Find 5 - 2.
- Start with 5 objects.
- Take away 2.
- Count what is left.
Very beginner explanation: Subtraction tells how many are left or the difference.
Answer: 3
Worked Example 7
Problem: Find 7 - 3.
- Start with 7 objects.
- Take away 3.
- Count what is left.
Very beginner explanation: Subtraction tells how many are left or the difference.
Answer: 4
Worked Example 8
Problem: Find 9 - 4.
- Start with 9 objects.
- Take away 4.
- Count what is left.
Very beginner explanation: Subtraction tells how many are left or the difference.
Answer: 5
Worked Example 9
Problem: Find 10 - 6.
- Start with 10 objects.
- Take away 6.
- Count what is left.
Very beginner explanation: Subtraction tells how many are left or the difference.
Answer: 4
Worked Example 10
Problem: Find 14 - 5.
- Start with 14 objects.
- Take away 5.
- Count what is left.
Very beginner explanation: Subtraction tells how many are left or the difference.
Answer: 9
Practice Exercise
Create one small question about Review subtraction. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.4 Review equal sharing and fractions
Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
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 Review equal sharing and fractions mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
Answer: Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
Worked Example 2
Problem: Show one small example of Review equal sharing and fractions.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
Answer: A correct small model or drawing can show the meaning of Review equal sharing and fractions.
Worked Example 3
Problem: Which tool could help with Review equal sharing and fractions?
- 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: Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
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 Review equal sharing and fractions?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Review equal sharing and fractions 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: Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
Answer: Review equal sharing and fractions can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Share 6 counters equally among 2 groups. How many are in each group?
- Make 2 groups.
- Give one counter to each group again and again.
- Stop when all counters are shared.
Very beginner explanation: Equal sharing gives every group the same amount.
Answer: 3
Worked Example 7
Problem: Share 8 counters equally among 2 groups. How many are in each group?
- Make 2 groups.
- Give one counter to each group again and again.
- Stop when all counters are shared.
Very beginner explanation: Equal sharing gives every group the same amount.
Answer: 4
Worked Example 8
Problem: Share 4 counters equally among 4 groups. How many are in each group?
- Make 4 groups.
- Give one counter to each group again and again.
- Stop when all counters are shared.
Very beginner explanation: Equal sharing gives every group the same amount.
Answer: 1
Worked Example 9
Problem: Share 8 counters equally among 4 groups. How many are in each group?
- Make 4 groups.
- Give one counter to each group again and again.
- Stop when all counters are shared.
Very beginner explanation: Equal sharing gives every group the same amount.
Answer: 2
Worked Example 10
Problem: Share 12 counters equally among 4 groups. How many are in each group?
- Make 4 groups.
- Give one counter to each group again and again.
- Stop when all counters are shared.
Very beginner explanation: Equal sharing gives every group the same amount.
Answer: 3
Practice Exercise
Create one small question about Review equal sharing and fractions. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.5 Review patterns and equality
Review patterns and equality 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 Review patterns and equality mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review patterns and equality helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Review patterns and equality 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 Review patterns and equality.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review patterns and equality 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 Review patterns and equality.
Worked Example 3
Problem: Which tool could help with Review patterns and equality?
- 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: Review patterns and equality 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 Review patterns and equality?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review patterns and equality 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 Review patterns and equality 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: Review patterns and equality helps learners notice what repeats or changes and use the rule to tell what comes next.
Answer: Review patterns and equality 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 Review patterns and equality. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.6 Review coding and modelling
Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
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 Review coding and modelling mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Worked Example 2
Problem: Show one small example of Review coding and modelling.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: A correct small model or drawing can show the meaning of Review coding and modelling.
Worked Example 3
Problem: Which tool could help with Review coding and modelling?
- 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: Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
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 Review coding and modelling?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Review coding and modelling 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: Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Review coding and modelling can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put these directions in order and follow them: forward, forward, right.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: forward → forward → right
Worked Example 7
Problem: Put these directions in order and follow them: up, up, left.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: up → up → left
Worked Example 8
Problem: Put these directions in order and follow them: right, right, down.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: right → right → down
Worked Example 9
Problem: Put these directions in order and follow them: forward, left, forward.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: forward → left → forward
Worked Example 10
Problem: Put these directions in order and follow them: up, right, right.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: up → right → right
Practice Exercise
Create one small question about Review coding and modelling. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.7 Review data and graphs
Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
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 Review data and graphs mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Worked Example 2
Problem: Show one small example of Review data and graphs.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: A correct small model or drawing can show the meaning of Review data and graphs.
Worked Example 3
Problem: Which tool could help with Review data and graphs?
- 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: Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
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 Review data and graphs?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Review data and graphs 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: Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Review data and graphs can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: A simple data record shows cats: 3 and dogs: 5. Which category has more?
- Read both category counts.
- Compare the two numbers.
Very beginner explanation: The category with the larger count has more responses.
Answer: dogs
Worked Example 7
Problem: A simple data record shows red: 4 and blue: 2. Which category has more?
- Read both category counts.
- Compare the two numbers.
Very beginner explanation: The category with the larger count has more responses.
Answer: red
Worked Example 8
Problem: A simple data record shows apples: 6 and bananas: 3. Which category has more?
- Read both category counts.
- Compare the two numbers.
Very beginner explanation: The category with the larger count has more responses.
Answer: apples
Worked Example 9
Problem: A simple data record shows walk: 5 and bus: 4. Which category has more?
- Read both category counts.
- Compare the two numbers.
Very beginner explanation: The category with the larger count has more responses.
Answer: walk
Worked Example 10
Problem: A simple data record shows books: 7 and games: 2. Which category has more?
- Read both category counts.
- Compare the two numbers.
Very beginner explanation: The category with the larger count has more responses.
Answer: books
Practice Exercise
Create one small question about Review data and graphs. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.8 Review shapes and measurement
Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
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 Review shapes and measurement mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Worked Example 2
Problem: Show one small example of Review shapes and measurement.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: A correct small model or drawing can show the meaning of Review shapes and measurement.
Worked Example 3
Problem: Which tool could help with Review shapes and measurement?
- 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: Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
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 Review shapes and measurement?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Review shapes and measurement 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: Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Review shapes and measurement can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Name a shape or object with this clue: 0 straight sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: circle
Worked Example 7
Problem: Name a shape or object with this clue: 3 sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: triangle
Worked Example 8
Problem: Name a shape or object with this clue: 4 equal sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: square
Worked Example 9
Problem: Name a shape or object with this clue: 4 sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: rectangle
Worked Example 10
Problem: Name a shape or object with this clue: round 3D object.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: sphere
Practice Exercise
Create one small question about Review shapes and measurement. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.9 Review calendar and money
Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
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 Review calendar and money mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
Answer: Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
Worked Example 2
Problem: Show one small example of Review calendar and money.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
Answer: A correct small model or drawing can show the meaning of Review calendar and money.
Worked Example 3
Problem: Which tool could help with Review calendar and money?
- 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: Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
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 Review calendar and money?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Review calendar and money 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: Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
Answer: Review calendar and money can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: If today is Monday, what day is tomorrow?
- Move one day forward in the week.
Very beginner explanation: Tomorrow is the next day on the weekly cycle.
Answer: Tuesday
Worked Example 7
Problem: If today is Tuesday, what day is tomorrow?
- Move one day forward in the week.
Very beginner explanation: Tomorrow is the next day on the weekly cycle.
Answer: Wednesday
Worked Example 8
Problem: If today is Wednesday, what day is tomorrow?
- Move one day forward in the week.
Very beginner explanation: Tomorrow is the next day on the weekly cycle.
Answer: Thursday
Worked Example 9
Problem: If today is Thursday, what day is tomorrow?
- Move one day forward in the week.
Very beginner explanation: Tomorrow is the next day on the weekly cycle.
Answer: Friday
Worked Example 10
Problem: If today is Friday, what day is tomorrow?
- Move one day forward in the week.
Very beginner explanation: Tomorrow is the next day on the weekly cycle.
Answer: Saturday
Practice Exercise
Create one small question about Review calendar and money. Show it with objects, a picture, or numbers, then check by counting or comparing again.
60.10 Problem solving explaining and checking
Problem solving explaining and checking 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 Problem solving explaining and checking mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Problem solving explaining and checking is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Problem solving explaining and checking 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 Problem solving explaining and checking.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Problem solving explaining and checking 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 Problem solving explaining and checking.
Worked Example 3
Problem: Which tool could help with Problem solving explaining and checking?
- 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: Problem solving explaining and checking 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 Problem solving explaining and checking?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Problem solving explaining and checking 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 Problem solving explaining and checking 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: Problem solving explaining and checking is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Problem solving explaining and checking can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Problem solving explaining and checking 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 Problem solving explaining and checking best through concrete examples and clear words.
Answer: A correct simple example of Problem solving explaining and checking.
Worked Example 7
Problem: Show Problem solving explaining and checking 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 Problem solving explaining and checking best through concrete examples and clear words.
Answer: A correct simple example of Problem solving explaining and checking.
Worked Example 8
Problem: Show Problem solving explaining and checking 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 Problem solving explaining and checking best through concrete examples and clear words.
Answer: A correct simple example of Problem solving explaining and checking.
Worked Example 9
Problem: Show Problem solving explaining and checking 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 Problem solving explaining and checking best through concrete examples and clear words.
Answer: A correct simple example of Problem solving explaining and checking.
Worked Example 10
Problem: Show Problem solving explaining and checking 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 Problem solving explaining and checking best through concrete examples and clear words.
Answer: A correct simple example of Problem solving explaining and checking.
Practice Exercise
Create one small question about Problem solving explaining and checking. 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 Review numbers to 50.
- Create and solve one original problem about Review addition.
- Create and solve one original problem about Review subtraction.
- Create and solve one original problem about Review equal sharing and fractions.
- Create and solve one original problem about Review patterns and equality.
- Create and solve one original problem about Review coding and modelling.
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 Review numbers to 50?
Answer: Review numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q2. What is the main idea in Review addition?
Answer: Review addition teaches how to put quantities together. Learners use objects, drawings, ten frames, and counting-on strategies before writing number sentences.
Q3. What is the main idea in Review subtraction?
Answer: Review subtraction teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.
Q4. What is the main idea in Review equal sharing and fractions?
Answer: Review equal sharing and fractions introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.
Q5. What is the main idea in Review patterns and equality?
Answer: Review patterns and equality helps learners notice what repeats or changes and use the rule to tell what comes next.
Q6. What is the main idea in Review coding and modelling?
Answer: Review coding and modelling uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Q7. What is the main idea in Review data and graphs?
Answer: Review data and graphs helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q8. What is the main idea in Review shapes and measurement?
Answer: Review shapes and measurement develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Q9. What is the main idea in Review calendar and money?
Answer: Review calendar and money helps learners compare and describe everyday measurements or time using clear Grade 1 language and hands-on examples.
Q10. What is the main idea in Problem solving explaining and checking?
Answer: Problem solving explaining and checking is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
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.