Chapter 43: Tally Marks and Simple Records
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Tally Marks and Simple Records with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Making tally marks (a Grade 1 idea used in this chapter)
- Counting tally marks (a Grade 1 idea used in this chapter)
- Recording one tally per response (a Grade 1 idea used in this chapter)
- Groups of five tallies (a Grade 1 idea used in this chapter)
- Turning tallies into numbers (a Grade 1 idea used in this chapter)
- Comparing tally groups (a Grade 1 idea used in this chapter)
- Finding the most common category (a Grade 1 idea used in this chapter)
- Finding the least common category (a Grade 1 idea used in this chapter)
- Checking a tally record (a Grade 1 idea used in this chapter)
- Tally 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.
43.1 Making tally marks
Making tally marks 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 Making tally marks mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Making tally marks helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Making tally marks 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 Making tally marks.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Making tally marks 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 Making tally marks.
Worked Example 3
Problem: Which tool could help with Making tally marks?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Making tally marks 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 Making tally marks?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Making tally marks 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 Making tally marks in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Making tally marks helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Making tally marks 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 Making tally marks. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.2 Counting tally marks
Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Counting tally marks mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Counting tally marks.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Counting tally marks.
Worked Example 3
Problem: Which tool could help with Counting tally marks?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Counting tally marks?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Counting tally marks in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Counting tally marks can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Counting tally marks. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.3 Recording one tally per response
Recording one tally per response 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 Recording one tally per response mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Recording one tally per response helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Recording one tally per response 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 Recording one tally per response.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Recording one tally per response 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 Recording one tally per response.
Worked Example 3
Problem: Which tool could help with Recording one tally per response?
- 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: Recording one tally per response 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 Recording one tally per response?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Recording one tally per response 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 Recording one tally per response 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: Recording one tally per response helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Recording one tally per response 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 Recording one tally per response. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.4 Groups of five tallies
Groups of five tallies 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 Groups of five tallies mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Groups of five tallies is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Groups of five tallies 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 Groups of five tallies.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Groups of five tallies 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 Groups of five tallies.
Worked Example 3
Problem: Which tool could help with Groups of five tallies?
- 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: Groups of five tallies 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 Groups of five tallies?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Groups of five tallies 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 Groups of five tallies 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: Groups of five tallies is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Groups of five tallies can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Groups of five tallies 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 Groups of five tallies best through concrete examples and clear words.
Answer: A correct simple example of Groups of five tallies.
Worked Example 7
Problem: Show Groups of five tallies 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 Groups of five tallies best through concrete examples and clear words.
Answer: A correct simple example of Groups of five tallies.
Worked Example 8
Problem: Show Groups of five tallies 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 Groups of five tallies best through concrete examples and clear words.
Answer: A correct simple example of Groups of five tallies.
Worked Example 9
Problem: Show Groups of five tallies 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 Groups of five tallies best through concrete examples and clear words.
Answer: A correct simple example of Groups of five tallies.
Worked Example 10
Problem: Show Groups of five tallies 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 Groups of five tallies best through concrete examples and clear words.
Answer: A correct simple example of Groups of five tallies.
Practice Exercise
Create one small question about Groups of five tallies. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.5 Turning tallies into numbers
Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Turning tallies into numbers mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Turning tallies into numbers.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Turning tallies into numbers.
Worked Example 3
Problem: Which tool could help with Turning tallies into numbers?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Turning tallies into numbers?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Turning tallies into numbers in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Turning tallies into numbers can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Turning tallies into numbers. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.6 Comparing tally groups
Comparing tally groups 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 Comparing tally groups mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Comparing tally groups helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Comparing tally groups 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 Comparing tally groups.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Comparing tally groups 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 Comparing tally groups.
Worked Example 3
Problem: Which tool could help with Comparing tally groups?
- 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: Comparing tally groups 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 Comparing tally groups?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Comparing tally groups 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 Comparing tally groups 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: Comparing tally groups helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Comparing tally groups 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 Comparing tally groups. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.7 Finding the most common category
Finding the most common category 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 Finding the most common category mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Finding the most common category helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Finding the most common category 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 Finding the most common category.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding the most common category 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 Finding the most common category.
Worked Example 3
Problem: Which tool could help with Finding the most common category?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Finding the most common category 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 Finding the most common category?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Finding the most common category 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 Finding the most common category in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Finding the most common category helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Finding the most common category 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 Finding the most common category. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.8 Finding the least common category
Finding the least common category 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 Finding the least common category mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Finding the least common category helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Finding the least common category 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 Finding the least common category.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding the least common category 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 Finding the least common category.
Worked Example 3
Problem: Which tool could help with Finding the least common category?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Finding the least common category 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 Finding the least common category?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Finding the least common category 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 Finding the least common category in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Finding the least common category helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Finding the least common category 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 Finding the least common category. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.9 Checking a tally record
Checking a tally record 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 Checking a tally record mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Checking a tally record helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Checking a tally record 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 Checking a tally record.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Checking a tally record 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 Checking a tally record.
Worked Example 3
Problem: Which tool could help with Checking a tally record?
- 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: Checking a tally record 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 Checking a tally record?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Checking a tally record 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 Checking a tally record 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: Checking a tally record helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Checking a tally record 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 Checking a tally record. Show it with objects, a picture, or numbers, then check by counting or comparing again.
43.10 Tally review
Tally 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 Tally review mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Tally review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Tally 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 Tally review.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Tally 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 Tally review.
Worked Example 3
Problem: Which tool could help with Tally 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: Tally 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 Tally 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: Tally 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 Tally 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: Tally review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Answer: Tally 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 Tally 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 Making tally marks.
- Create and solve one original problem about Counting tally marks.
- Create and solve one original problem about Recording one tally per response.
- Create and solve one original problem about Groups of five tallies.
- Create and solve one original problem about Turning tallies into numbers.
- Create and solve one original problem about Comparing tally groups.
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 Making tally marks?
Answer: Making tally marks helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q2. What is the main idea in Counting tally marks?
Answer: Counting tally marks helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q3. What is the main idea in Recording one tally per response?
Answer: Recording one tally per response helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q4. What is the main idea in Groups of five tallies?
Answer: Groups of five tallies is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q5. What is the main idea in Turning tallies into numbers?
Answer: Turning tallies into numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q6. What is the main idea in Comparing tally groups?
Answer: Comparing tally groups helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q7. What is the main idea in Finding the most common category?
Answer: Finding the most common category helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q8. What is the main idea in Finding the least common category?
Answer: Finding the least common category helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q9. What is the main idea in Checking a tally record?
Answer: Checking a tally record helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.
Q10. What is the main idea in Tally review?
Answer: Tally 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.