Chapter 14: Ordering Numbers
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Ordering Numbers with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Least to greatest (a Grade 1 idea used in this chapter)
- Greatest to least (a Grade 1 idea used in this chapter)
- Ordering three numbers (a Grade 1 idea used in this chapter)
- Ordering four numbers (a Grade 1 idea used in this chapter)
- Ordering numbers to 20 (a Grade 1 idea used in this chapter)
- Ordering numbers to 50 (a Grade 1 idea used in this chapter)
- Using a number line to order (a Grade 1 idea used in this chapter)
- Finding the smallest number (a Grade 1 idea used in this chapter)
- Finding the largest number (a Grade 1 idea used in this chapter)
- Ordering-number 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.
14.1 Least to greatest
Least to greatest 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 Least to greatest mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Least to greatest is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Least to greatest 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 Least to greatest.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Least to greatest 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 Least to greatest.
Worked Example 3
Problem: Which tool could help with Least to greatest?
- 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: Least to greatest 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 Least to greatest?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Least to greatest 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 Least to greatest 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: Least to greatest is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Least to greatest can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Least to greatest 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 Least to greatest best through concrete examples and clear words.
Answer: A correct simple example of Least to greatest.
Worked Example 7
Problem: Show Least to greatest 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 Least to greatest best through concrete examples and clear words.
Answer: A correct simple example of Least to greatest.
Worked Example 8
Problem: Show Least to greatest 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 Least to greatest best through concrete examples and clear words.
Answer: A correct simple example of Least to greatest.
Worked Example 9
Problem: Show Least to greatest 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 Least to greatest best through concrete examples and clear words.
Answer: A correct simple example of Least to greatest.
Worked Example 10
Problem: Show Least to greatest 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 Least to greatest best through concrete examples and clear words.
Answer: A correct simple example of Least to greatest.
Practice Exercise
Create one small question about Least to greatest. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.2 Greatest to least
Greatest to least 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 Greatest to least mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Greatest to least is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Greatest to least 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 Greatest to least.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Greatest to least 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 Greatest to least.
Worked Example 3
Problem: Which tool could help with Greatest to least?
- 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: Greatest to least 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 Greatest to least?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Greatest to least 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 Greatest to least 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: Greatest to least is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Greatest to least can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Greatest to least 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 Greatest to least best through concrete examples and clear words.
Answer: A correct simple example of Greatest to least.
Worked Example 7
Problem: Show Greatest to least 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 Greatest to least best through concrete examples and clear words.
Answer: A correct simple example of Greatest to least.
Worked Example 8
Problem: Show Greatest to least 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 Greatest to least best through concrete examples and clear words.
Answer: A correct simple example of Greatest to least.
Worked Example 9
Problem: Show Greatest to least 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 Greatest to least best through concrete examples and clear words.
Answer: A correct simple example of Greatest to least.
Worked Example 10
Problem: Show Greatest to least 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 Greatest to least best through concrete examples and clear words.
Answer: A correct simple example of Greatest to least.
Practice Exercise
Create one small question about Greatest to least. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.3 Ordering three numbers
Ordering three 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 Ordering three numbers mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Ordering three numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering three 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 Ordering three numbers.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Ordering three 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 Ordering three numbers.
Worked Example 3
Problem: Which tool could help with Ordering three 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: Ordering three 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 Ordering three 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: Ordering three 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 Ordering three 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: Ordering three numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering three numbers can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put [8, 6, 3] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 3, 6, 8
Worked Example 7
Problem: Put [14, 12, 9] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 9, 12, 14
Worked Example 8
Problem: Put [21, 19, 16] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 16, 19, 21
Worked Example 9
Problem: Put [29, 27, 24] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 24, 27, 29
Worked Example 10
Problem: Put [46, 44, 41] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 41, 44, 46
Practice Exercise
Create one small question about Ordering three numbers. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.4 Ordering four numbers
Ordering four 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 Ordering four numbers mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Ordering four numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering four 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 Ordering four numbers.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Ordering four 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 Ordering four numbers.
Worked Example 3
Problem: Which tool could help with Ordering four 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: Ordering four 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 Ordering four 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: Ordering four 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 Ordering four 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: Ordering four numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering four numbers can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put [8, 6, 3] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 3, 6, 8
Worked Example 7
Problem: Put [14, 12, 9] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 9, 12, 14
Worked Example 8
Problem: Put [21, 19, 16] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 16, 19, 21
Worked Example 9
Problem: Put [29, 27, 24] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 24, 27, 29
Worked Example 10
Problem: Put [46, 44, 41] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 41, 44, 46
Practice Exercise
Create one small question about Ordering four numbers. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.5 Ordering numbers to 20
Ordering numbers to 20 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 Ordering numbers to 20 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Ordering numbers to 20 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering numbers to 20 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 Ordering numbers to 20.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Ordering numbers to 20 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 Ordering numbers to 20.
Worked Example 3
Problem: Which tool could help with Ordering numbers to 20?
- 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: Ordering numbers to 20 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 Ordering numbers to 20?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Ordering numbers to 20 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 Ordering numbers to 20 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: Ordering numbers to 20 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering numbers to 20 can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put [8, 6, 3] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 3, 6, 8
Worked Example 7
Problem: Put [14, 12, 9] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 9, 12, 14
Worked Example 8
Problem: Put [21, 19, 16] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 16, 19, 21
Worked Example 9
Problem: Put [29, 27, 24] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 24, 27, 29
Worked Example 10
Problem: Put [46, 44, 41] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 41, 44, 46
Practice Exercise
Create one small question about Ordering numbers to 20. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.6 Ordering numbers to 50
Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Ordering numbers to 50 mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Ordering numbers to 50.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Ordering numbers to 50.
Worked Example 3
Problem: Which tool could help with Ordering numbers to 50?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Ordering numbers to 50?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Ordering numbers to 50 in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering numbers to 50 can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put [8, 6, 3] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 3, 6, 8
Worked Example 7
Problem: Put [14, 12, 9] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 9, 12, 14
Worked Example 8
Problem: Put [21, 19, 16] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 16, 19, 21
Worked Example 9
Problem: Put [29, 27, 24] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 24, 27, 29
Worked Example 10
Problem: Put [46, 44, 41] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 41, 44, 46
Practice Exercise
Create one small question about Ordering numbers to 50. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.7 Using a number line to order
Using a number line to order 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 Using a number line to order mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Using a number line to order helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Using a number line to order 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 Using a number line to order.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Using a number line to order 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 Using a number line to order.
Worked Example 3
Problem: Which tool could help with Using a number line to order?
- 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: Using a number line to order 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 Using a number line to order?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Using a number line to order 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 Using a number line to order 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: Using a number line to order helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Using a number line to order can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put [8, 6, 3] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 3, 6, 8
Worked Example 7
Problem: Put [14, 12, 9] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 9, 12, 14
Worked Example 8
Problem: Put [21, 19, 16] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 16, 19, 21
Worked Example 9
Problem: Put [29, 27, 24] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 24, 27, 29
Worked Example 10
Problem: Put [46, 44, 41] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 41, 44, 46
Practice Exercise
Create one small question about Using a number line to order. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.8 Finding the smallest number
Finding the smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Finding the smallest number 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 smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Finding the smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Finding the smallest number.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding the smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Finding the smallest number.
Worked Example 3
Problem: Which tool could help with Finding the smallest number?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Finding the smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Finding the smallest number?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Finding the smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Finding the smallest number in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Finding the smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Finding the smallest number can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Finding the smallest number. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.9 Finding the largest number
Finding the largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Finding the largest number 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 largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Finding the largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Finding the largest number.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Finding the largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Finding the largest number.
Worked Example 3
Problem: Which tool could help with Finding the largest number?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Finding the largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Finding the largest number?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Finding the largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Finding the largest number in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Finding the largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Finding the largest number can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Count to 6. What number comes just before 6?
- Count forward until 6.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 5
Worked Example 7
Problem: Count to 12. What number comes just before 12?
- Count forward until 12.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 11
Worked Example 8
Problem: Count to 19. What number comes just before 19?
- Count forward until 19.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 18
Worked Example 9
Problem: Count to 27. What number comes just before 27?
- Count forward until 27.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 26
Worked Example 10
Problem: Count to 44. What number comes just before 44?
- Count forward until 44.
- Move back one number.
Very beginner explanation: The number before is one less.
Answer: 43
Practice Exercise
Create one small question about Finding the largest number. Show it with objects, a picture, or numbers, then check by counting or comparing again.
14.10 Ordering-number review
Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Ordering-number review mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Worked Example 2
Problem: Show one small example of Ordering-number review.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: A correct small model or drawing can show the meaning of Ordering-number review.
Worked Example 3
Problem: Which tool could help with Ordering-number 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: Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Ordering-number 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: Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Ordering-number 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: Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Answer: Ordering-number review can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put [8, 6, 3] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 3, 6, 8
Worked Example 7
Problem: Put [14, 12, 9] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 9, 12, 14
Worked Example 8
Problem: Put [21, 19, 16] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 16, 19, 21
Worked Example 9
Problem: Put [29, 27, 24] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 24, 27, 29
Worked Example 10
Problem: Put [46, 44, 41] in order from least to greatest.
- Find the smallest number.
- Then place the next larger number.
- Finish with the largest.
Very beginner explanation: Ordering means arranging numbers by size.
Answer: 41, 44, 46
Practice Exercise
Create one small question about Ordering-number 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 Least to greatest.
- Create and solve one original problem about Greatest to least.
- Create and solve one original problem about Ordering three numbers.
- Create and solve one original problem about Ordering four numbers.
- Create and solve one original problem about Ordering numbers to 20.
- Create and solve one original problem about Ordering numbers to 50.
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 Least to greatest?
Answer: Least to greatest is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q2. What is the main idea in Greatest to least?
Answer: Greatest to least is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q3. What is the main idea in Ordering three numbers?
Answer: Ordering three numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q4. What is the main idea in Ordering four numbers?
Answer: Ordering four numbers helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q5. What is the main idea in Ordering numbers to 20?
Answer: Ordering numbers to 20 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q6. What is the main idea in Ordering numbers to 50?
Answer: Ordering numbers to 50 helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q7. What is the main idea in Using a number line to order?
Answer: Using a number line to order helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q8. What is the main idea in Finding the smallest number?
Answer: Finding the smallest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q9. What is the main idea in Finding the largest number?
Answer: Finding the largest number helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q10. What is the main idea in Ordering-number review?
Answer: Ordering-number review helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.
Q11. Why is it useful to use counters or drawings?
Answer: They make the quantities visible and help you understand before using only numbers.
Q12. Why should you count carefully?
Answer: Careful counting means each object is counted once and no object is missed.
Q13. What can you do if a problem feels hard?
Answer: Use smaller numbers, draw a picture, use objects, and solve one small step at a time.
Q14. Why should both sides of an equals sign match?
Answer: The equals sign means the two sides have the same value.
Q15. How can a number line help?
Answer: It shows number order and can help you count forward or backward.
Q16. How can a ten frame help?
Answer: It organizes objects into groups that make numbers and addition easier to see.
Q17. Why are equal shares important?
Answer: Equal shares make fair groups or equal parts.
Q18. How do patterns help us predict?
Answer: A pattern rule tells us what should come next.
Q19. Why do we label a graph or table?
Answer: Labels tell us what the information represents.
Q20. How can you describe a shape?
Answer: Talk about its sides, corners, flat or curved surfaces, and other visible attributes.
Q21. How can you compare two objects?
Answer: Choose one attribute, such as length, mass, or capacity, and compare that same attribute.
Q22. Why is a calendar useful?
Answer: It organizes days, weeks, months, dates, and events.
Q23. Why does money have different values?
Answer: Different coins and bills represent different amounts of money.
Q24. Why should you explain your answer?
Answer: Explaining shows how you thought about the problem and helps you check your reasoning.
Q25. What should you do after a mistake?
Answer: Look at the step again, fix it, and try a similar example.
Q26. How can you be a confident math learner?
Answer: Use positive self-talk, try a strategy, ask questions, and remember that mistakes help you learn.
Q27. When should you use a picture?
Answer: Use a picture when it helps you see quantities, shapes, positions, or a story problem.
Q28. When should you use objects?
Answer: Use objects when you want to count, join, take away, share, sort, or compare in a hands-on way.
Q29. How can you check addition?
Answer: Recount the combined objects or use another model.
Q30. How can you check subtraction?
Answer: Put the taken-away part and the part left back together to see if they make the starting amount.