Chapter 38: Coding: Directions and Movement
Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Coding: Directions and Movement with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.
Key Technical Terms
- Move forward (a Grade 1 idea used in this chapter)
- Move backward (a Grade 1 idea used in this chapter)
- Turn left (a Grade 1 idea used in this chapter)
- Turn right (a Grade 1 idea used in this chapter)
- Move up and down on a grid (a Grade 1 idea used in this chapter)
- Move left and right on a grid (a Grade 1 idea used in this chapter)
- Following a path (a Grade 1 idea used in this chapter)
- Writing directions to a target (a Grade 1 idea used in this chapter)
- Checking the final position (a Grade 1 idea used in this chapter)
- Directions 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.
38.1 Move forward
Move forward 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 Move forward mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Move forward is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move forward 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 Move forward.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Move forward 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 Move forward.
Worked Example 3
Problem: Which tool could help with Move forward?
- 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: Move forward 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 Move forward?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Move forward 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 Move forward 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: Move forward is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move forward can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Move forward 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 Move forward best through concrete examples and clear words.
Answer: A correct simple example of Move forward.
Worked Example 7
Problem: Show Move forward 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 Move forward best through concrete examples and clear words.
Answer: A correct simple example of Move forward.
Worked Example 8
Problem: Show Move forward 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 Move forward best through concrete examples and clear words.
Answer: A correct simple example of Move forward.
Worked Example 9
Problem: Show Move forward 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 Move forward best through concrete examples and clear words.
Answer: A correct simple example of Move forward.
Worked Example 10
Problem: Show Move forward 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 Move forward best through concrete examples and clear words.
Answer: A correct simple example of Move forward.
Practice Exercise
Create one small question about Move forward. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.2 Move backward
Move backward 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 Move backward mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Move backward is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move backward 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 Move backward.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Move backward 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 Move backward.
Worked Example 3
Problem: Which tool could help with Move backward?
- 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: Move backward 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 Move backward?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Move backward 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 Move backward 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: Move backward is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move backward can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Move backward 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 Move backward best through concrete examples and clear words.
Answer: A correct simple example of Move backward.
Worked Example 7
Problem: Show Move backward 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 Move backward best through concrete examples and clear words.
Answer: A correct simple example of Move backward.
Worked Example 8
Problem: Show Move backward 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 Move backward best through concrete examples and clear words.
Answer: A correct simple example of Move backward.
Worked Example 9
Problem: Show Move backward 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 Move backward best through concrete examples and clear words.
Answer: A correct simple example of Move backward.
Worked Example 10
Problem: Show Move backward 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 Move backward best through concrete examples and clear words.
Answer: A correct simple example of Move backward.
Practice Exercise
Create one small question about Move backward. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.3 Turn left
Turn left 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 Turn left mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Turn left is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Turn left 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 Turn left.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Turn left 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 Turn left.
Worked Example 3
Problem: Which tool could help with Turn left?
- 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: Turn left 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 Turn left?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Turn left 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 Turn left 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: Turn left is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Turn left can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Turn left 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 Turn left best through concrete examples and clear words.
Answer: A correct simple example of Turn left.
Worked Example 7
Problem: Show Turn left 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 Turn left best through concrete examples and clear words.
Answer: A correct simple example of Turn left.
Worked Example 8
Problem: Show Turn left 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 Turn left best through concrete examples and clear words.
Answer: A correct simple example of Turn left.
Worked Example 9
Problem: Show Turn left 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 Turn left best through concrete examples and clear words.
Answer: A correct simple example of Turn left.
Worked Example 10
Problem: Show Turn left 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 Turn left best through concrete examples and clear words.
Answer: A correct simple example of Turn left.
Practice Exercise
Create one small question about Turn left. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.4 Turn right
Turn 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 Turn right mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Turn right is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Turn 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 Turn right.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Turn 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 Turn right.
Worked Example 3
Problem: Which tool could help with Turn 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: Turn 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 Turn 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: Turn 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 Turn 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: Turn right is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Turn right can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Turn 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 Turn right best through concrete examples and clear words.
Answer: A correct simple example of Turn right.
Worked Example 7
Problem: Show Turn 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 Turn right best through concrete examples and clear words.
Answer: A correct simple example of Turn right.
Worked Example 8
Problem: Show Turn 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 Turn right best through concrete examples and clear words.
Answer: A correct simple example of Turn right.
Worked Example 9
Problem: Show Turn 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 Turn right best through concrete examples and clear words.
Answer: A correct simple example of Turn right.
Worked Example 10
Problem: Show Turn 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 Turn right best through concrete examples and clear words.
Answer: A correct simple example of Turn right.
Practice Exercise
Create one small question about Turn right. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.5 Move up and down on a grid
Move up and down on a grid 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 Move up and down on a grid mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Move up and down on a grid is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move up and down on a grid 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 Move up and down on a grid.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Move up and down on a grid 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 Move up and down on a grid.
Worked Example 3
Problem: Which tool could help with Move up and down on a grid?
- 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: Move up and down on a grid 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 Move up and down on a grid?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Move up and down on a grid 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 Move up and down on a grid 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: Move up and down on a grid is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move up and down on a grid can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Move up and down on a grid 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 Move up and down on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move up and down on a grid.
Worked Example 7
Problem: Show Move up and down on a grid 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 Move up and down on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move up and down on a grid.
Worked Example 8
Problem: Show Move up and down on a grid 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 Move up and down on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move up and down on a grid.
Worked Example 9
Problem: Show Move up and down on a grid 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 Move up and down on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move up and down on a grid.
Worked Example 10
Problem: Show Move up and down on a grid 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 Move up and down on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move up and down on a grid.
Practice Exercise
Create one small question about Move up and down on a grid. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.6 Move left and right on a grid
Move left and right on a grid 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 Move left and right on a grid mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Move left and right on a grid is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move left and right on a grid 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 Move left and right on a grid.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Move left and right on a grid 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 Move left and right on a grid.
Worked Example 3
Problem: Which tool could help with Move left and right on a grid?
- 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: Move left and right on a grid 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 Move left and right on a grid?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Move left and right on a grid 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 Move left and right on a grid 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: Move left and right on a grid is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Move left and right on a grid can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Move left and right on a grid 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 Move left and right on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move left and right on a grid.
Worked Example 7
Problem: Show Move left and right on a grid 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 Move left and right on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move left and right on a grid.
Worked Example 8
Problem: Show Move left and right on a grid 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 Move left and right on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move left and right on a grid.
Worked Example 9
Problem: Show Move left and right on a grid 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 Move left and right on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move left and right on a grid.
Worked Example 10
Problem: Show Move left and right on a grid 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 Move left and right on a grid best through concrete examples and clear words.
Answer: A correct simple example of Move left and right on a grid.
Practice Exercise
Create one small question about Move left and right on a grid. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.7 Following a path
Following a path 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 Following a path mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Following a path is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Following a path 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 Following a path.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Following a path 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 Following a path.
Worked Example 3
Problem: Which tool could help with Following a path?
- 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 a path 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 Following a path?
- 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 a path 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 Following a path 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 a path is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.
Answer: Following a path can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.
Worked Example 6
Problem: Show Following a path 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 Following a path best through concrete examples and clear words.
Answer: A correct simple example of Following a path.
Worked Example 7
Problem: Show Following a path 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 Following a path best through concrete examples and clear words.
Answer: A correct simple example of Following a path.
Worked Example 8
Problem: Show Following a path 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 Following a path best through concrete examples and clear words.
Answer: A correct simple example of Following a path.
Worked Example 9
Problem: Show Following a path 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 Following a path best through concrete examples and clear words.
Answer: A correct simple example of Following a path.
Worked Example 10
Problem: Show Following a path 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 Following a path best through concrete examples and clear words.
Answer: A correct simple example of Following a path.
Practice Exercise
Create one small question about Following a path. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.8 Writing directions to a target
Writing directions to a target 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 Writing directions to a target mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Writing directions to a target uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Writing directions to a target uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Worked Example 2
Problem: Show one small example of Writing directions to a target.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Writing directions to a target 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 Writing directions to a target.
Worked Example 3
Problem: Which tool could help with Writing directions to a target?
- 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: Writing directions to a target 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 Writing directions to a target?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Writing directions to a target 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 Writing directions to a target 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: Writing directions to a target uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Writing directions to a target 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 Writing directions to a target. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.9 Checking the final position
Checking the final position 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 Checking the final position mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Checking the final position develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Checking the final position develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Worked Example 2
Problem: Show one small example of Checking the final position.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Checking the final position 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 Checking the final position.
Worked Example 3
Problem: Which tool could help with Checking the final position?
- Think about counters, fingers, a ten frame, number line, picture, table, or real object.
- Choose the tool that makes the idea easiest to see.
Very beginner explanation: Checking the final position 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 Checking the final position?
- Look at the objects, drawing, or numbers again.
- Count or compare one more time.
- Make sure the answer matches the question.
Very beginner explanation: Checking the final position 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 Checking the final position in everyday life?
- Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
- Choose one situation.
- Explain how the math helps.
Very beginner explanation: Checking the final position develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Answer: Checking the final position 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 Checking the final position. Show it with objects, a picture, or numbers, then check by counting or comparing again.
38.10 Directions review
Directions review 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 Directions review mean?
- Say the topic in simple words.
- Use objects, fingers, a drawing, or a number example.
- Tell what you notice.
Very beginner explanation: Directions review uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Directions review uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Worked Example 2
Problem: Show one small example of Directions review.
- Choose small numbers or a simple shape/object.
- Make a model or drawing.
- Describe what the model shows.
Very beginner explanation: Directions review 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 Directions review.
Worked Example 3
Problem: Which tool could help with Directions 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: Directions review 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 Directions 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: Directions review 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 Directions 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: Directions review uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Answer: Directions review 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 Directions 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 Move forward.
- Create and solve one original problem about Move backward.
- Create and solve one original problem about Turn left.
- Create and solve one original problem about Turn right.
- Create and solve one original problem about Move up and down on a grid.
- Create and solve one original problem about Move left and right on a grid.
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 Move forward?
Answer: Move forward 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 Move backward?
Answer: Move backward 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 Turn left?
Answer: Turn left 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 Turn right?
Answer: Turn right 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 Move up and down on a grid?
Answer: Move up and down on a grid 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 Move left and right on a grid?
Answer: Move left and right on a grid 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 Following a path?
Answer: Following a path 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 Writing directions to a target?
Answer: Writing directions to a target uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
Q9. What is the main idea in Checking the final position?
Answer: Checking the final position develops spatial sense by describing shapes, objects, positions, and how parts fit together.
Q10. What is the main idea in Directions review?
Answer: Directions review uses simple ordered instructions. Learners follow, test, and fix steps to reach a goal.
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.