Chapter 28: Whole-Number Rates
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Whole-Number Rates in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
28.1 Meaning of a rate
A rate compares two quantities with different units, such as pages per day or items per box. 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 rate 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 Meaning of a rate.
Worked Example 2
Problem: Create a simple Grade 4 example about Meaning of a rate using the numbers 17 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 rate.
Worked Example 3
Problem: Create a simple Grade 4 example about Meaning of a rate using the numbers 11 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 Meaning of a rate.
Worked Example 4
Problem: Create a simple Grade 4 example about Meaning of a rate using the numbers 12 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 Meaning of a rate.
Worked Example 5
Problem: Create a simple Grade 4 example about Meaning of a rate 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 Meaning of a rate.
Worked Example 6
Problem: Create a simple Grade 4 example about Meaning of a rate using the numbers 6 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 Meaning of a rate.
Worked Example 7
Problem: Create a simple Grade 4 example about Meaning of a rate 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 Meaning of a rate.
Worked Example 8
Problem: Create a simple Grade 4 example about Meaning of a rate 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 Meaning of a rate.
Worked Example 9
Problem: Create a simple Grade 4 example about Meaning of a rate using the numbers 2 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 rate.
Worked Example 10
Problem: Create a simple Grade 4 example about Meaning of a rate using the numbers 11 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 rate.
Practice Exercise
Create and solve one new example of Meaning of a rate. 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.
28.2 Rate as repeated groups
A rate compares two quantities with different units, such as pages per day or items per box. 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 Rate as repeated groups 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 Rate as repeated groups.
Worked Example 2
Problem: Create a simple Grade 4 example about Rate as repeated groups 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 Rate as repeated groups.
Worked Example 3
Problem: Create a simple Grade 4 example about Rate as repeated groups using the numbers 17 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 Rate as repeated groups.
Worked Example 4
Problem: Create a simple Grade 4 example about Rate as repeated groups using the numbers 20 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 Rate as repeated groups.
Worked Example 5
Problem: Create a simple Grade 4 example about Rate as repeated groups 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 Rate as repeated groups.
Worked Example 6
Problem: Create a simple Grade 4 example about Rate as repeated groups using the numbers 18 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 Rate as repeated groups.
Worked Example 7
Problem: Create a simple Grade 4 example about Rate as repeated groups using the numbers 6 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 Rate as repeated groups.
Worked Example 8
Problem: Create a simple Grade 4 example about Rate as repeated groups using the numbers 13 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 Rate as repeated groups.
Worked Example 9
Problem: Create a simple Grade 4 example about Rate as repeated groups using the numbers 6 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 Rate as repeated groups.
Worked Example 10
Problem: Create a simple Grade 4 example about Rate as repeated groups using the numbers 9 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 Rate as repeated groups.
Practice Exercise
Create and solve one new example of Rate as repeated groups. 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.
28.3 Rate tables
A rate compares two quantities with different units, such as pages per day or items per box. 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 Rate tables using the numbers 15 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 Rate tables.
Worked Example 2
Problem: Create a simple Grade 4 example about Rate tables using the numbers 5 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 Rate tables.
Worked Example 3
Problem: Create a simple Grade 4 example about Rate tables using the numbers 11 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 Rate tables.
Worked Example 4
Problem: Create a simple Grade 4 example about Rate tables 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 Rate tables.
Worked Example 5
Problem: Create a simple Grade 4 example about Rate tables using the numbers 6 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 Rate tables.
Worked Example 6
Problem: Create a simple Grade 4 example about Rate tables using the numbers 11 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 Rate tables.
Worked Example 7
Problem: Create a simple Grade 4 example about Rate tables using the numbers 10 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 Rate tables.
Worked Example 8
Problem: Create a simple Grade 4 example about Rate tables 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 Rate tables.
Worked Example 9
Problem: Create a simple Grade 4 example about Rate tables using the numbers 5 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 Rate tables.
Worked Example 10
Problem: Create a simple Grade 4 example about Rate tables using the numbers 18 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 Rate tables.
Practice Exercise
Create and solve one new example of Rate tables. 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.
28.4 Cost per item with whole dollars
Cost per item with whole dollars is an important Grade 4 mathematics idea in Whole-Number Rates. 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 Cost per item with whole dollars using the numbers 3 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 Cost per item with whole dollars.
Worked Example 2
Problem: Create a simple Grade 4 example about Cost per item with whole dollars using the numbers 10 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 Cost per item with whole dollars.
Worked Example 3
Problem: Create a simple Grade 4 example about Cost per item with whole dollars using the numbers 5 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 Cost per item with whole dollars.
Worked Example 4
Problem: Create a simple Grade 4 example about Cost per item with whole dollars using the numbers 20 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 Cost per item with whole dollars.
Worked Example 5
Problem: Create a simple Grade 4 example about Cost per item with whole dollars using the numbers 8 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 Cost per item with whole dollars.
Worked Example 6
Problem: Create a simple Grade 4 example about Cost per item with whole dollars using the numbers 9 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 Cost per item with whole dollars.
Worked Example 7
Problem: Create a simple Grade 4 example about Cost per item with whole dollars 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 Cost per item with whole dollars.
Worked Example 8
Problem: Create a simple Grade 4 example about Cost per item with whole dollars using the numbers 11 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 Cost per item with whole dollars.
Worked Example 9
Problem: Create a simple Grade 4 example about Cost per item with whole dollars 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 Cost per item with whole dollars.
Worked Example 10
Problem: Create a simple Grade 4 example about Cost per item with whole dollars using the numbers 19 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 Cost per item with whole dollars.
Practice Exercise
Create and solve one new example of Cost per item with whole dollars. 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.
28.5 Distance per unit of time with whole numbers
Elapsed time is the amount of time between a start time and an end time. A timeline can make the steps easier to follow. 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: An activity starts at 4:00 and lasts 45 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 4:45
Worked Example 2
Problem: An activity starts at 4:00 and lasts 15 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 4:15
Worked Example 3
Problem: An activity starts at 10:00 and lasts 60 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 11:00
Worked Example 4
Problem: An activity starts at 2:00 and lasts 15 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 2:15
Worked Example 5
Problem: An activity starts at 8:00 and lasts 30 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 8:30
Worked Example 6
Problem: An activity starts at 8:00 and lasts 30 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 8:30
Worked Example 7
Problem: An activity starts at 5:00 and lasts 30 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 5:30
Worked Example 8
Problem: An activity starts at 10:00 and lasts 15 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 10:15
Worked Example 9
Problem: An activity starts at 4:00 and lasts 15 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 4:15
Worked Example 10
Problem: An activity starts at 1:00 and lasts 60 minutes. When does it end?
- Add the duration to the start time.
- Regroup 60 minutes as one hour when needed.
Very beginner explanation: Elapsed time measures the time between start and finish.
Answer: 2:00
Practice Exercise
Create and solve one new example of Distance per unit of time with whole numbers. 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.
28.6 Items per box
Items per box is an important Grade 4 mathematics idea in Whole-Number Rates. 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 Items per box using the numbers 7 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 Items per box.
Worked Example 2
Problem: Create a simple Grade 4 example about Items per box using the numbers 12 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 Items per box.
Worked Example 3
Problem: Create a simple Grade 4 example about Items per box using the numbers 12 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 Items per box.
Worked Example 4
Problem: Create a simple Grade 4 example about Items per box using the numbers 3 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 Items per box.
Worked Example 5
Problem: Create a simple Grade 4 example about Items per box using the numbers 7 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 Items per box.
Worked Example 6
Problem: Create a simple Grade 4 example about Items per box using the numbers 8 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 Items per box.
Worked Example 7
Problem: Create a simple Grade 4 example about Items per box using the numbers 20 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 Items per box.
Worked Example 8
Problem: Create a simple Grade 4 example about Items per box using the numbers 12 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 Items per box.
Worked Example 9
Problem: Create a simple Grade 4 example about Items per box 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 Items per box.
Worked Example 10
Problem: Create a simple Grade 4 example about Items per box using the numbers 19 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 Items per box.
Practice Exercise
Create and solve one new example of Items per box. 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.
28.7 Pages per day
Pages per day is an important Grade 4 mathematics idea in Whole-Number Rates. 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 Pages per day 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 Pages per day.
Worked Example 2
Problem: Create a simple Grade 4 example about Pages per day using the numbers 11 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 Pages per day.
Worked Example 3
Problem: Create a simple Grade 4 example about Pages per day using the numbers 8 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 Pages per day.
Worked Example 4
Problem: Create a simple Grade 4 example about Pages per day using the numbers 13 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 Pages per day.
Worked Example 5
Problem: Create a simple Grade 4 example about Pages per day using the numbers 6 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 Pages per day.
Worked Example 6
Problem: Create a simple Grade 4 example about Pages per day using the numbers 7 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 Pages per day.
Worked Example 7
Problem: Create a simple Grade 4 example about Pages per day using the numbers 9 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 Pages per day.
Worked Example 8
Problem: Create a simple Grade 4 example about Pages per day using the numbers 17 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 Pages per day.
Worked Example 9
Problem: Create a simple Grade 4 example about Pages per day using the numbers 18 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 Pages per day.
Worked Example 10
Problem: Create a simple Grade 4 example about Pages per day using the numbers 18 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 Pages per day.
Practice Exercise
Create and solve one new example of Pages per day. 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.
28.8 Points per game
Points per game is an important Grade 4 mathematics idea in Whole-Number Rates. 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 Points per game using the numbers 9 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 Points per game.
Worked Example 2
Problem: Create a simple Grade 4 example about Points per game using the numbers 18 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 Points per game.
Worked Example 3
Problem: Create a simple Grade 4 example about Points per game 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 Points per game.
Worked Example 4
Problem: Create a simple Grade 4 example about Points per game using the numbers 6 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 Points per game.
Worked Example 5
Problem: Create a simple Grade 4 example about Points per game using the numbers 16 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 Points per game.
Worked Example 6
Problem: Create a simple Grade 4 example about Points per game 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 Points per game.
Worked Example 7
Problem: Create a simple Grade 4 example about Points per game using the numbers 17 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 Points per game.
Worked Example 8
Problem: Create a simple Grade 4 example about Points per game 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 Points per game.
Worked Example 9
Problem: Create a simple Grade 4 example about Points per game 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 Points per game.
Worked Example 10
Problem: Create a simple Grade 4 example about Points per game using the numbers 18 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 Points per game.
Practice Exercise
Create and solve one new example of Points per game. 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.
28.9 Comparing simple whole-number rates
A rate compares two quantities with different units, such as pages per day or items per box. 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 simple whole-number rates using the numbers 9 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 Comparing simple whole-number rates.
Worked Example 2
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates using the numbers 3 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 Comparing simple whole-number rates.
Worked Example 3
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates 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 Comparing simple whole-number rates.
Worked Example 4
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates 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 Comparing simple whole-number rates.
Worked Example 5
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates using the numbers 9 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 simple whole-number rates.
Worked Example 6
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates using the numbers 9 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 Comparing simple whole-number rates.
Worked Example 7
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates using the numbers 12 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 Comparing simple whole-number rates.
Worked Example 8
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates 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 Comparing simple whole-number rates.
Worked Example 9
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates using the numbers 17 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 Comparing simple whole-number rates.
Worked Example 10
Problem: Create a simple Grade 4 example about Comparing simple whole-number rates using the numbers 19 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 simple whole-number rates.
Practice Exercise
Create and solve one new example of Comparing simple whole-number rates. 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.
28.10 Scaling a rate
A rate compares two quantities with different units, such as pages per day or items per box. 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 Scaling a rate using the numbers 11 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 Scaling a rate.
Worked Example 2
Problem: Create a simple Grade 4 example about Scaling a rate using the numbers 18 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 Scaling a rate.
Worked Example 3
Problem: Create a simple Grade 4 example about Scaling a rate 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 Scaling a rate.
Worked Example 4
Problem: Create a simple Grade 4 example about Scaling a rate 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 Scaling a rate.
Worked Example 5
Problem: Create a simple Grade 4 example about Scaling a rate using the numbers 19 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 Scaling a rate.
Worked Example 6
Problem: Create a simple Grade 4 example about Scaling a rate 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 Scaling a rate.
Worked Example 7
Problem: Create a simple Grade 4 example about Scaling a rate using the numbers 8 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 Scaling a rate.
Worked Example 8
Problem: Create a simple Grade 4 example about Scaling a rate 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 Scaling a rate.
Worked Example 9
Problem: Create a simple Grade 4 example about Scaling a rate using the numbers 13 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 Scaling a rate.
Worked Example 10
Problem: Create a simple Grade 4 example about Scaling a rate using the numbers 14 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 Scaling a rate.
Practice Exercise
Create and solve one new example of Scaling a rate. 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.
28.11 Using multiplication to find a total
Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help. 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: Calculate 6 × 9.
- Break 6 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 54
Worked Example 2
Problem: Calculate 10 × 4.
- Break 10 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 40
Worked Example 3
Problem: Calculate 2 × 6.
- Break 2 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 12
Worked Example 4
Problem: Calculate 8 × 6.
- Break 8 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 48
Worked Example 5
Problem: Calculate 10 × 6.
- Break 10 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 60
Worked Example 6
Problem: Calculate 8 × 6.
- Break 8 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 48
Worked Example 7
Problem: Calculate 4 × 9.
- Break 4 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 36
Worked Example 8
Problem: Calculate 11 × 2.
- Break 11 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 22
Worked Example 9
Problem: Calculate 4 × 3.
- Break 4 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 12
Worked Example 10
Problem: Calculate 3 × 2.
- Break 3 apart if helpful.
- Multiply each part by the other factor.
- Combine the partial products.
Very beginner explanation: Multiplication finds a total made from equal groups.
Answer: 6
Practice Exercise
Create and solve one new example of Using multiplication to find a total. 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.
28.12 Using division to find a unit rate
Division means sharing equally or finding equal groups. Multiplication can be used to check the result. 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: Calculate 81 ÷ 4.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 20 remainder 1
Worked Example 2
Problem: Calculate 57 ÷ 4.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 14 remainder 1
Worked Example 3
Problem: Calculate 58 ÷ 3.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 19 remainder 1
Worked Example 4
Problem: Calculate 13 ÷ 2.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 6 remainder 1
Worked Example 5
Problem: Calculate 21 ÷ 3.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 7
Worked Example 6
Problem: Calculate 60 ÷ 3.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 20
Worked Example 7
Problem: Calculate 41 ÷ 6.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 6 remainder 5
Worked Example 8
Problem: Calculate 52 ÷ 7.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 7 remainder 3
Worked Example 9
Problem: Calculate 113 ÷ 6.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 18 remainder 5
Worked Example 10
Problem: Calculate 40 ÷ 8.
- Use multiplication facts to find the largest equal group.
- Find any amount left over.
- Check with divisor × quotient + remainder.
Very beginner explanation: The remainder must be smaller than the divisor.
Answer: 5
Practice Exercise
Create and solve one new example of Using division to find a unit rate. 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 rate?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q2. What is important to understand about Rate as repeated groups?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q3. What is important to understand about Rate tables?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q4. What is important to understand about Cost per item with whole dollars?
Answer: Cost per item with whole dollars is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q5. What is important to understand about Distance per unit of time with whole numbers?
Answer: Elapsed time is the amount of time between a start time and an end time. A timeline can make the steps easier to follow.
Q6. What is important to understand about Items per box?
Answer: Items per box is an important Grade 4 mathematics idea in Whole-Number Rates. 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 Pages per day?
Answer: Pages per day is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q8. What is important to understand about Points per game?
Answer: Points per game is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q9. What is important to understand about Comparing simple whole-number rates?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q10. What is important to understand about Scaling a rate?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q11. What is important to understand about Using multiplication to find a total?
Answer: Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help.
Q12. What is important to understand about Using division to find a unit rate?
Answer: Division means sharing equally or finding equal groups. Multiplication can be used to check the result.
Q13. How would you explain Meaning of a rate?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q14. How would you explain Rate as repeated groups?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q15. How would you explain Rate tables?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q16. How would you explain Cost per item with whole dollars?
Answer: Cost per item with whole dollars is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q17. How would you explain Distance per unit of time with whole numbers?
Answer: Elapsed time is the amount of time between a start time and an end time. A timeline can make the steps easier to follow.
Q18. How would you explain Items per box?
Answer: Items per box is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q19. How would you explain Pages per day?
Answer: Pages per day is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q20. How would you explain Points per game?
Answer: Points per game is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q21. How would you explain Comparing simple whole-number rates?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q22. How would you explain Scaling a rate?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q23. How would you explain Using multiplication to find a total?
Answer: Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help.
Q24. How would you explain Using division to find a unit rate?
Answer: Division means sharing equally or finding equal groups. Multiplication can be used to check the result.
Q25. What should a beginner check when working with Meaning of a rate?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q26. What should a beginner check when working with Rate as repeated groups?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q27. What should a beginner check when working with Rate tables?
Answer: A rate compares two quantities with different units, such as pages per day or items per box.
Q28. What should a beginner check when working with Cost per item with whole dollars?
Answer: Cost per item with whole dollars is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q29. What should a beginner check when working with Distance per unit of time with whole numbers?
Answer: Elapsed time is the amount of time between a start time and an end time. A timeline can make the steps easier to follow.
Q30. What should a beginner check when working with Items per box?
Answer: Items per box is an important Grade 4 mathematics idea in Whole-Number Rates. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.