Chapter 48: Data in Everyday Life
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Data in Everyday Life with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Classroom preference data (a Grade 1 idea used in this chapter)
- Weather observation data (a Grade 1 idea used in this chapter)
- Favourite fruit data (a Grade 1 idea used in this chapter)
- Pet preference data (a Grade 1 idea used in this chapter)
- Transportation-to-school data (a Grade 1 idea used in this chapter)
- Book-choice data (a Grade 1 idea used in this chapter)
- Colour preference data (a Grade 1 idea used in this chapter)
- Toy or game data (a Grade 1 idea used in this chapter)
- Explaining what data tells us (a Grade 1 idea used in this chapter)
- Everyday-data 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.
48.1 Classroom preference data
Classroom preference data 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 Classroom preference data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Classroom preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Classroom preference data 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 Classroom preference data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Classroom preference data 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 Classroom preference data.
Worked Example 3
Problem: Which tool could help with Classroom preference data?
- 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: Classroom preference data 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 Classroom preference data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Classroom preference data 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 Classroom preference data 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: Classroom preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Classroom preference data 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 Classroom preference data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.2 Weather observation data
Weather observation data 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 Weather observation data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Weather observation data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Weather observation data 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 Weather observation data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Weather observation data 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 Weather observation data.
Worked Example 3
Problem: Which tool could help with Weather observation data?
- 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: Weather observation data 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 Weather observation data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Weather observation data 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 Weather observation data 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: Weather observation data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Weather observation data 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 Weather observation data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.3 Favourite fruit data
Favourite fruit data 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 Favourite fruit data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Favourite fruit data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Favourite fruit data 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 Favourite fruit data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Favourite fruit data 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 Favourite fruit data.
Worked Example 3
Problem: Which tool could help with Favourite fruit data?
- 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: Favourite fruit data 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 Favourite fruit data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Favourite fruit data 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 Favourite fruit data 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: Favourite fruit data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Favourite fruit data 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 Favourite fruit data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.4 Pet preference data
Pet preference data 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 Pet preference data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Pet preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Pet preference data 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 Pet preference data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Pet preference data 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 Pet preference data.
Worked Example 3
Problem: Which tool could help with Pet preference data?
- 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: Pet preference data 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 Pet preference data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Pet preference data 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 Pet preference data 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: Pet preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Pet preference data 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 Pet preference data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.5 Transportation-to-school data
Transportation-to-school data 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 Transportation-to-school data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Transportation-to-school data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Transportation-to-school data 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 Transportation-to-school data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Transportation-to-school data 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 Transportation-to-school data.
Worked Example 3
Problem: Which tool could help with Transportation-to-school data?
- 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: Transportation-to-school data 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 Transportation-to-school data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Transportation-to-school data 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 Transportation-to-school data 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: Transportation-to-school data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Transportation-to-school data 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 Transportation-to-school data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.6 Book-choice data
Book-choice data 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 Book-choice data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Book-choice data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Book-choice data 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 Book-choice data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Book-choice data 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 Book-choice data.
Worked Example 3
Problem: Which tool could help with Book-choice data?
- 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: Book-choice data 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 Book-choice data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Book-choice data 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 Book-choice data 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: Book-choice data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Book-choice data 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 Book-choice data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.7 Colour preference data
Colour preference data 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 Colour preference data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Colour preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Colour preference data 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 Colour preference data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Colour preference data 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 Colour preference data.
Worked Example 3
Problem: Which tool could help with Colour preference data?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Colour preference data 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 Colour preference data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Colour preference data 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 Colour preference data in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Colour preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Colour preference data 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 Colour preference data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.8 Toy or game data
Toy or game data 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 Toy or game data mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Toy or game data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Toy or game data 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 Toy or game data.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Toy or game data 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 Toy or game data.
Worked Example 3
Problem: Which tool could help with Toy or game data?
- 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: Toy or game data 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 Toy or game data?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Toy or game data 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 Toy or game data 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: Toy or game data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Toy or game data 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 Toy or game data. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.9 Explaining what data tells us
Explaining what data tells us 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 Explaining what data tells us mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Explaining what data tells us helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Explaining what data tells us 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 Explaining what data tells us.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Explaining what data tells us 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 Explaining what data tells us.
Worked Example 3
Problem: Which tool could help with Explaining what data tells us?
- 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: Explaining what data tells us 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 Explaining what data tells us?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Explaining what data tells us 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 Explaining what data tells us 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: Explaining what data tells us helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Explaining what data tells us 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 Explaining what data tells us. Show it with objects, a picture, or numbers, then check by counting or comparing again.
48.10 Everyday-data review
Everyday-data review 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 Everyday-data review mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Everyday-data review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Everyday-data review 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 Everyday-data review.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Everyday-data review 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 Everyday-data review.
Worked Example 3
Problem: Which tool could help with Everyday-data 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: Everyday-data review 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 Everyday-data 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: Everyday-data review 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 Everyday-data 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: Everyday-data review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Everyday-data review 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 Everyday-data 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 Classroom preference data.
- Create and solve one original problem about Weather observation data.
- Create and solve one original problem about Favourite fruit data.
- Create and solve one original problem about Pet preference data.
- Create and solve one original problem about Transportation-to-school data.
- Create and solve one original problem about Book-choice data.
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 Classroom preference data?
Answer: Classroom preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q2. What is the main idea in Weather observation data?
Answer: Weather observation data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q3. What is the main idea in Favourite fruit data?
Answer: Favourite fruit data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q4. What is the main idea in Pet preference data?
Answer: Pet preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q5. What is the main idea in Transportation-to-school data?
Answer: Transportation-to-school data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q6. What is the main idea in Book-choice data?
Answer: Book-choice data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q7. What is the main idea in Colour preference data?
Answer: Colour preference data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q8. What is the main idea in Toy or game data?
Answer: Toy or game data helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q9. What is the main idea in Explaining what data tells us?
Answer: Explaining what data tells us helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q10. What is the main idea in Everyday-data review?
Answer: Everyday-data review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
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.