Chapter 52: Translations and Reflections on a Grid
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Translations and Reflections on a Grid in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
52.1 Meaning of a transformation
Meaning of a transformation is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 20 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 2
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 19 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 3
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 9 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 4
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 6 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 5
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 7 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 6
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 19 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 7
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 9 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 8
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 16 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 9
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 14 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Worked Example 10
Problem: Create a simple Grade 4 example about Meaning of a transformation using the numbers 15 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Meaning of a transformation.
Practice Exercise
Create and solve one new example of Meaning of a transformation. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.2 Translation
Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Translation using the numbers 18 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 2
Problem: Create a simple Grade 4 example about Translation using the numbers 20 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 3
Problem: Create a simple Grade 4 example about Translation using the numbers 15 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 4
Problem: Create a simple Grade 4 example about Translation using the numbers 20 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 5
Problem: Create a simple Grade 4 example about Translation using the numbers 14 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 6
Problem: Create a simple Grade 4 example about Translation using the numbers 3 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 7
Problem: Create a simple Grade 4 example about Translation using the numbers 12 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 8
Problem: Create a simple Grade 4 example about Translation using the numbers 19 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 9
Problem: Create a simple Grade 4 example about Translation using the numbers 10 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Worked Example 10
Problem: Create a simple Grade 4 example about Translation using the numbers 8 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Translation.
Practice Exercise
Create and solve one new example of Translation. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.3 Describing horizontal translation
Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 18 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 2
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 17 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 3
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 19 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 4
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 7 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 5
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 17 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 6
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 2 and 13.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 7
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 19 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 8
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 7 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 9
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 16 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Worked Example 10
Problem: Create a simple Grade 4 example about Describing horizontal translation using the numbers 5 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing horizontal translation.
Practice Exercise
Create and solve one new example of Describing horizontal translation. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.4 Describing vertical translation
Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 5 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 2
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 12 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 3
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 11 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 4
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 19 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 5
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 8 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 6
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 15 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 7
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 15 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 8
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 5 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 9
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 8 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Worked Example 10
Problem: Create a simple Grade 4 example about Describing vertical translation using the numbers 9 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Describing vertical translation.
Practice Exercise
Create and solve one new example of Describing vertical translation. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.5 Combined translation
Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Combined translation using the numbers 6 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 2
Problem: Create a simple Grade 4 example about Combined translation using the numbers 8 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 3
Problem: Create a simple Grade 4 example about Combined translation using the numbers 14 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 4
Problem: Create a simple Grade 4 example about Combined translation using the numbers 11 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 5
Problem: Create a simple Grade 4 example about Combined translation using the numbers 16 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 6
Problem: Create a simple Grade 4 example about Combined translation using the numbers 9 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 7
Problem: Create a simple Grade 4 example about Combined translation using the numbers 6 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 8
Problem: Create a simple Grade 4 example about Combined translation using the numbers 6 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 9
Problem: Create a simple Grade 4 example about Combined translation using the numbers 19 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Worked Example 10
Problem: Create a simple Grade 4 example about Combined translation using the numbers 5 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Combined translation.
Practice Exercise
Create and solve one new example of Combined translation. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.6 Predicting a translated point
Predicting a translated point is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 20 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 2
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 13 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 3
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 18 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 4
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 16 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 5
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 2 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 6
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 4 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 7
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 6 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 8
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 19 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 9
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 12 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Worked Example 10
Problem: Create a simple Grade 4 example about Predicting a translated point using the numbers 11 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Predicting a translated point.
Practice Exercise
Create and solve one new example of Predicting a translated point. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.7 Reflection
Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Reflection using the numbers 18 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 2
Problem: Create a simple Grade 4 example about Reflection using the numbers 9 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 3
Problem: Create a simple Grade 4 example about Reflection using the numbers 2 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 4
Problem: Create a simple Grade 4 example about Reflection using the numbers 10 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 5
Problem: Create a simple Grade 4 example about Reflection using the numbers 20 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 6
Problem: Create a simple Grade 4 example about Reflection using the numbers 7 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 7
Problem: Create a simple Grade 4 example about Reflection using the numbers 7 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 8
Problem: Create a simple Grade 4 example about Reflection using the numbers 11 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 9
Problem: Create a simple Grade 4 example about Reflection using the numbers 3 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Worked Example 10
Problem: Create a simple Grade 4 example about Reflection using the numbers 20 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflection.
Practice Exercise
Create and solve one new example of Reflection. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.8 Lines of reflection
Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 19 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 2
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 14 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 3
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 18 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 4
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 5 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 5
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 16 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 6
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 2 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 7
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 10 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 8
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 4 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 9
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 10 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Worked Example 10
Problem: Create a simple Grade 4 example about Lines of reflection using the numbers 2 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Lines of reflection.
Practice Exercise
Create and solve one new example of Lines of reflection. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.9 Reflecting a point on a grid
Reflecting a point on a grid is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 12 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 2
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 13 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 3
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 14 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 4
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 19 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 5
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 5 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 6
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 5 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 7
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 4 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 8
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 15 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 9
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 14 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Worked Example 10
Problem: Create a simple Grade 4 example about Reflecting a point on a grid using the numbers 6 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a point on a grid.
Practice Exercise
Create and solve one new example of Reflecting a point on a grid. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.10 Reflecting a simple shape
Reflecting a simple shape is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 3 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 2
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 16 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 3
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 12 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 4
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 16 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 5
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 5 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 6
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 4 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 7
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 16 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 8
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 20 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 9
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 5 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Worked Example 10
Problem: Create a simple Grade 4 example about Reflecting a simple shape using the numbers 14 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Reflecting a simple shape.
Practice Exercise
Create and solve one new example of Reflecting a simple shape. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.11 Comparing original and image
Comparing original and image is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 13 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 2
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 19 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 3
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 6 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 4
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 11 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 5
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 11 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 6
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 6 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 7
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 7 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 8
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 2 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 9
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 9 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Worked Example 10
Problem: Create a simple Grade 4 example about Comparing original and image using the numbers 4 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing original and image.
Practice Exercise
Create and solve one new example of Comparing original and image. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
52.12 Checking a transformation
Checking a transformation is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 20 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 2
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 12 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 3
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 9 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 4
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 8 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 5
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 14 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 6
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 14 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 7
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 20 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 8
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 16 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 9
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 5 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Worked Example 10
Problem: Create a simple Grade 4 example about Checking a transformation using the numbers 8 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a transformation.
Practice Exercise
Create and solve one new example of Checking a transformation. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
30 Review Questions and Answers
Q1. What is important to understand about Meaning of a transformation?
Answer: Meaning of a transformation is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q2. What is important to understand about Translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q3. What is important to understand about Describing horizontal translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q4. What is important to understand about Describing vertical translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q5. What is important to understand about Combined translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q6. What is important to understand about Predicting a translated point?
Answer: Predicting a translated point is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q7. What is important to understand about Reflection?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q8. What is important to understand about Lines of reflection?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q9. What is important to understand about Reflecting a point on a grid?
Answer: Reflecting a point on a grid is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q10. What is important to understand about Reflecting a simple shape?
Answer: Reflecting a simple shape is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q11. What is important to understand about Comparing original and image?
Answer: Comparing original and image is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q12. What is important to understand about Checking a transformation?
Answer: Checking a transformation is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q13. How would you explain Meaning of a transformation?
Answer: Meaning of a transformation is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q14. How would you explain Translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q15. How would you explain Describing horizontal translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q16. How would you explain Describing vertical translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q17. How would you explain Combined translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q18. How would you explain Predicting a translated point?
Answer: Predicting a translated point is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q19. How would you explain Reflection?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q20. How would you explain Lines of reflection?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q21. How would you explain Reflecting a point on a grid?
Answer: Reflecting a point on a grid is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q22. How would you explain Reflecting a simple shape?
Answer: Reflecting a simple shape is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q23. How would you explain Comparing original and image?
Answer: Comparing original and image is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q24. How would you explain Checking a transformation?
Answer: Checking a transformation is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q25. What should a beginner check when working with Meaning of a transformation?
Answer: Meaning of a transformation is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q26. What should a beginner check when working with Translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q27. What should a beginner check when working with Describing horizontal translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q28. What should a beginner check when working with Describing vertical translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q29. What should a beginner check when working with Combined translation?
Answer: Spatial reasoning uses shape, position, movement, and measurement. Diagrams, coordinates, and measurements make relationships easier to see.
Q30. What should a beginner check when working with Predicting a translated point?
Answer: Predicting a translated point is an important Grade 4 mathematics idea in Translations and Reflections on a Grid. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.