Chapter 50: Position and Location Words
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Position and Location Words with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Above and below (a Grade 1 idea used in this chapter)
- Beside and between (a Grade 1 idea used in this chapter)
- In front of and behind (a Grade 1 idea used in this chapter)
- Inside and outside (a Grade 1 idea used in this chapter)
- Near and far (a Grade 1 idea used in this chapter)
- Left and right (a Grade 1 idea used in this chapter)
- Over and under (a Grade 1 idea used in this chapter)
- Using location words with objects (a Grade 1 idea used in this chapter)
- Following position directions (a Grade 1 idea used in this chapter)
- Position-word 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.
50.1 Above and below
Above and below 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 Above and below mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Above and below is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Above and below 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 Above and below.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Above and below 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 Above and below.
Worked Example 3
Problem: Which tool could help with Above and below?
- 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: Above and below 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 Above and below?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Above and below 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 Above and below 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: Above and below is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Above and below can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Above and below 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 Above and below best through concrete examples and clear words.
Answer: A correct simple example of Above and below.
Worked Example 7
Problem: Show Above and below 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 Above and below best through concrete examples and clear words.
Answer: A correct simple example of Above and below.
Worked Example 8
Problem: Show Above and below 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 Above and below best through concrete examples and clear words.
Answer: A correct simple example of Above and below.
Worked Example 9
Problem: Show Above and below 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 Above and below best through concrete examples and clear words.
Answer: A correct simple example of Above and below.
Worked Example 10
Problem: Show Above and below 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 Above and below best through concrete examples and clear words.
Answer: A correct simple example of Above and below.
Practice Exercise
Create one small question about Above and below. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.2 Beside and between
Beside and between 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 Beside and between mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Beside and between is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Beside and between 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 Beside and between.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Beside and between 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 Beside and between.
Worked Example 3
Problem: Which tool could help with Beside and between?
- 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: Beside and between 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 Beside and between?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Beside and between 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 Beside and between 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: Beside and between is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Beside and between can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Beside and between 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 Beside and between best through concrete examples and clear words.
Answer: A correct simple example of Beside and between.
Worked Example 7
Problem: Show Beside and between 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 Beside and between best through concrete examples and clear words.
Answer: A correct simple example of Beside and between.
Worked Example 8
Problem: Show Beside and between 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 Beside and between best through concrete examples and clear words.
Answer: A correct simple example of Beside and between.
Worked Example 9
Problem: Show Beside and between 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 Beside and between best through concrete examples and clear words.
Answer: A correct simple example of Beside and between.
Worked Example 10
Problem: Show Beside and between 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 Beside and between best through concrete examples and clear words.
Answer: A correct simple example of Beside and between.
Practice Exercise
Create one small question about Beside and between. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.3 In front of and behind
In front of and behind 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 In front of and behind mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: In front of and behind is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: In front of and behind 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 In front of and behind.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: In front of and behind 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 In front of and behind.
Worked Example 3
Problem: Which tool could help with In front of and behind?
- 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: In front of and behind 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 In front of and behind?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: In front of and behind 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 In front of and behind 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: In front of and behind is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: In front of and behind can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show In front of and behind 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 In front of and behind best through concrete examples and clear words.
Answer: A correct simple example of In front of and behind.
Worked Example 7
Problem: Show In front of and behind 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 In front of and behind best through concrete examples and clear words.
Answer: A correct simple example of In front of and behind.
Worked Example 8
Problem: Show In front of and behind 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 In front of and behind best through concrete examples and clear words.
Answer: A correct simple example of In front of and behind.
Worked Example 9
Problem: Show In front of and behind 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 In front of and behind best through concrete examples and clear words.
Answer: A correct simple example of In front of and behind.
Worked Example 10
Problem: Show In front of and behind 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 In front of and behind best through concrete examples and clear words.
Answer: A correct simple example of In front of and behind.
Practice Exercise
Create one small question about In front of and behind. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.4 Inside and outside
Inside and outside 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 Inside and outside mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Inside and outside is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Inside and outside 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 Inside and outside.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Inside and outside 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 Inside and outside.
Worked Example 3
Problem: Which tool could help with Inside and outside?
- 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: Inside and outside 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 Inside and outside?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Inside and outside 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 Inside and outside 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: Inside and outside is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Inside and outside can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Inside and outside 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 Inside and outside best through concrete examples and clear words.
Answer: A correct simple example of Inside and outside.
Worked Example 7
Problem: Show Inside and outside 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 Inside and outside best through concrete examples and clear words.
Answer: A correct simple example of Inside and outside.
Worked Example 8
Problem: Show Inside and outside 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 Inside and outside best through concrete examples and clear words.
Answer: A correct simple example of Inside and outside.
Worked Example 9
Problem: Show Inside and outside 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 Inside and outside best through concrete examples and clear words.
Answer: A correct simple example of Inside and outside.
Worked Example 10
Problem: Show Inside and outside 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 Inside and outside best through concrete examples and clear words.
Answer: A correct simple example of Inside and outside.
Practice Exercise
Create one small question about Inside and outside. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.5 Near and far
Near and far 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 Near and far mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Near and far is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Near and far 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 Near and far.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Near and far 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 Near and far.
Worked Example 3
Problem: Which tool could help with Near and far?
- 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: Near and far 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 Near and far?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Near and far 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 Near and far 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: Near and far is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Near and far can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Near and far 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 Near and far best through concrete examples and clear words.
Answer: A correct simple example of Near and far.
Worked Example 7
Problem: Show Near and far 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 Near and far best through concrete examples and clear words.
Answer: A correct simple example of Near and far.
Worked Example 8
Problem: Show Near and far 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 Near and far best through concrete examples and clear words.
Answer: A correct simple example of Near and far.
Worked Example 9
Problem: Show Near and far 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 Near and far best through concrete examples and clear words.
Answer: A correct simple example of Near and far.
Worked Example 10
Problem: Show Near and far 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 Near and far best through concrete examples and clear words.
Answer: A correct simple example of Near and far.
Practice Exercise
Create one small question about Near and far. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.6 Left and right
Left and right 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 Left and right mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Left and right is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Left and right 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 Left and right.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Left and right 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 Left and right.
Worked Example 3
Problem: Which tool could help with Left and right?
- 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: Left and right 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 Left and right?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Left and right 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 Left and right 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: Left and right is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Left and right can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Left and right 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 Left and right best through concrete examples and clear words.
Answer: A correct simple example of Left and right.
Worked Example 7
Problem: Show Left and right 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 Left and right best through concrete examples and clear words.
Answer: A correct simple example of Left and right.
Worked Example 8
Problem: Show Left and right 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 Left and right best through concrete examples and clear words.
Answer: A correct simple example of Left and right.
Worked Example 9
Problem: Show Left and right 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 Left and right best through concrete examples and clear words.
Answer: A correct simple example of Left and right.
Worked Example 10
Problem: Show Left and right 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 Left and right best through concrete examples and clear words.
Answer: A correct simple example of Left and right.
Practice Exercise
Create one small question about Left and right. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.7 Over and under
Over and under 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 Over and under mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Over and under is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Over and under 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 Over and under.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Over and under 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 Over and under.
Worked Example 3
Problem: Which tool could help with Over and under?
- 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: Over and under 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 Over and under?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Over and under 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 Over and under 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: Over and under is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Over and under can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Over and under 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 Over and under best through concrete examples and clear words.
Answer: A correct simple example of Over and under.
Worked Example 7
Problem: Show Over and under 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 Over and under best through concrete examples and clear words.
Answer: A correct simple example of Over and under.
Worked Example 8
Problem: Show Over and under 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 Over and under best through concrete examples and clear words.
Answer: A correct simple example of Over and under.
Worked Example 9
Problem: Show Over and under 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 Over and under best through concrete examples and clear words.
Answer: A correct simple example of Over and under.
Worked Example 10
Problem: Show Over and under 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 Over and under best through concrete examples and clear words.
Answer: A correct simple example of Over and under.
Practice Exercise
Create one small question about Over and under. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.8 Using location words with objects
Using location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Using location words with objects mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Using location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Using location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Worked Example 2
Problem: Show one small example of Using location words with objects.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Using location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: A correct small model or drawing can show the meaning of Using location words with objects.
Worked Example 3
Problem: Which tool could help with Using location words with objects?
- 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 location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Using location words with objects?
- 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 location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Using location words with objects 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 location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Using location words with objects can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Name a shape or object with this clue: 0 straight sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: circle
Worked Example 7
Problem: Name a shape or object with this clue: 3 sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: triangle
Worked Example 8
Problem: Name a shape or object with this clue: 4 equal sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: square
Worked Example 9
Problem: Name a shape or object with this clue: 4 sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: rectangle
Worked Example 10
Problem: Name a shape or object with this clue: round 3D object.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: sphere
Practice Exercise
Create one small question about Using location words with objects. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.9 Following position directions
Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Following position directions mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Worked Example 2
Problem: Show one small example of Following position directions.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: A correct small model or drawing can show the meaning of Following position directions.
Worked Example 3
Problem: Which tool could help with Following position directions?
- 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: Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Following position directions?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Following position directions 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: Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Following position directions can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Put these directions in order and follow them: forward, forward, right.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: forward → forward → right
Worked Example 7
Problem: Put these directions in order and follow them: up, up, left.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: up → up → left
Worked Example 8
Problem: Put these directions in order and follow them: right, right, down.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: right → right → down
Worked Example 9
Problem: Put these directions in order and follow them: forward, left, forward.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: forward → left → forward
Worked Example 10
Problem: Put these directions in order and follow them: up, right, right.
- Read the first direction.
- Do the next direction.
- Finish the last direction and check where you end.
Very beginner explanation: Code is a sequence of instructions followed in order.
Answer: up → right → right
Practice Exercise
Create one small question about Following position directions. Show it with objects, a picture, or numbers, then check by counting or comparing again.
50.10 Position-word review
Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Beginner Note
Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: What does Position-word review mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Worked Example 2
Problem: Show one small example of Position-word review.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: A correct small model or drawing can show the meaning of Position-word review.
Worked Example 3
Problem: Which tool could help with Position-word 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: Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Use a simple tool that lets you see and check the quantities or shapes.
Worked Example 4
Problem: How can you check your work in Position-word 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: Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Check by recounting, comparing, or using a second simple model.
Worked Example 5
Problem: Where might you use Position-word 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: Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Position-word review can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Name a shape or object with this clue: 0 straight sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: circle
Worked Example 7
Problem: Name a shape or object with this clue: 3 sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: triangle
Worked Example 8
Problem: Name a shape or object with this clue: 4 equal sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: square
Worked Example 9
Problem: Name a shape or object with this clue: 4 sides.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: rectangle
Worked Example 10
Problem: Name a shape or object with this clue: round 3D object.
- Think about the clue.
- Match it to a familiar shape or object.
Very beginner explanation: Shape attributes help us identify and describe shapes.
Answer: sphere
Practice Exercise
Create one small question about Position-word 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 Above and below.
- Create and solve one original problem about Beside and between.
- Create and solve one original problem about In front of and behind.
- Create and solve one original problem about Inside and outside.
- Create and solve one original problem about Near and far.
- Create and solve one original problem about Left and right.
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 Above and below?
Answer: Above and below 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 Beside and between?
Answer: Beside and between 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 In front of and behind?
Answer: In front of and behind is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q4. What is the main idea in Inside and outside?
Answer: Inside and outside 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 Near and far?
Answer: Near and far is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q6. What is the main idea in Left and right?
Answer: Left and right is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q7. What is the main idea in Over and under?
Answer: Over and under is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Q8. What is the main idea in Using location words with objects?
Answer: Using location words with objects develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Q9. What is the main idea in Following position directions?
Answer: Following position directions uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Q10. What is the main idea in Position-word review?
Answer: Position-word review develops spatial sense by describing shapes, objects, positions, and how parts fit together.
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.