Chapter 7: Fair Sharing and Unit Fractions
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Fair Sharing and Unit Fractions in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
7.1 Fair sharing between 2 people
Fair sharing between 2 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 2 people using the numbers 17 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 Fair sharing between 2 people.
Worked Example 2
Problem: Create a simple Grade 4 example about Fair sharing between 2 people 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 Fair sharing between 2 people.
Worked Example 3
Problem: Create a simple Grade 4 example about Fair sharing between 2 people using the numbers 2 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 Fair sharing between 2 people.
Worked Example 4
Problem: Create a simple Grade 4 example about Fair sharing between 2 people using the numbers 15 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 Fair sharing between 2 people.
Worked Example 5
Problem: Create a simple Grade 4 example about Fair sharing between 2 people 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 Fair sharing between 2 people.
Worked Example 6
Problem: Create a simple Grade 4 example about Fair sharing between 2 people using the numbers 16 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 Fair sharing between 2 people.
Worked Example 7
Problem: Create a simple Grade 4 example about Fair sharing between 2 people using the numbers 10 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 Fair sharing between 2 people.
Worked Example 8
Problem: Create a simple Grade 4 example about Fair sharing between 2 people using the numbers 3 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 Fair sharing between 2 people.
Worked Example 9
Problem: Create a simple Grade 4 example about Fair sharing between 2 people using the numbers 17 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 Fair sharing between 2 people.
Worked Example 10
Problem: Create a simple Grade 4 example about Fair sharing between 2 people 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 Fair sharing between 2 people.
Practice Exercise
Create and solve one new example of Fair sharing between 2 people. 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.
7.2 Fair sharing between 3 people
Fair sharing between 3 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 3 people using the numbers 18 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 Fair sharing between 3 people.
Worked Example 2
Problem: Create a simple Grade 4 example about Fair sharing between 3 people 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 Fair sharing between 3 people.
Worked Example 3
Problem: Create a simple Grade 4 example about Fair sharing between 3 people using the numbers 14 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 Fair sharing between 3 people.
Worked Example 4
Problem: Create a simple Grade 4 example about Fair sharing between 3 people using the numbers 13 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 Fair sharing between 3 people.
Worked Example 5
Problem: Create a simple Grade 4 example about Fair sharing between 3 people using the numbers 13 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 Fair sharing between 3 people.
Worked Example 6
Problem: Create a simple Grade 4 example about Fair sharing between 3 people 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 Fair sharing between 3 people.
Worked Example 7
Problem: Create a simple Grade 4 example about Fair sharing between 3 people 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 Fair sharing between 3 people.
Worked Example 8
Problem: Create a simple Grade 4 example about Fair sharing between 3 people 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 Fair sharing between 3 people.
Worked Example 9
Problem: Create a simple Grade 4 example about Fair sharing between 3 people using the numbers 13 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 Fair sharing between 3 people.
Worked Example 10
Problem: Create a simple Grade 4 example about Fair sharing between 3 people 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 Fair sharing between 3 people.
Practice Exercise
Create and solve one new example of Fair sharing between 3 people. 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.
7.3 Fair sharing between 4 people
Fair sharing between 4 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 4 people using the numbers 16 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 Fair sharing between 4 people.
Worked Example 2
Problem: Create a simple Grade 4 example about Fair sharing between 4 people using the numbers 9 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 Fair sharing between 4 people.
Worked Example 3
Problem: Create a simple Grade 4 example about Fair sharing between 4 people using the numbers 7 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 Fair sharing between 4 people.
Worked Example 4
Problem: Create a simple Grade 4 example about Fair sharing between 4 people 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 Fair sharing between 4 people.
Worked Example 5
Problem: Create a simple Grade 4 example about Fair sharing between 4 people 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 Fair sharing between 4 people.
Worked Example 6
Problem: Create a simple Grade 4 example about Fair sharing between 4 people using the numbers 11 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 Fair sharing between 4 people.
Worked Example 7
Problem: Create a simple Grade 4 example about Fair sharing between 4 people using the numbers 16 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 Fair sharing between 4 people.
Worked Example 8
Problem: Create a simple Grade 4 example about Fair sharing between 4 people using the numbers 2 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 Fair sharing between 4 people.
Worked Example 9
Problem: Create a simple Grade 4 example about Fair sharing between 4 people using the numbers 2 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 Fair sharing between 4 people.
Worked Example 10
Problem: Create a simple Grade 4 example about Fair sharing between 4 people using the numbers 11 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 Fair sharing between 4 people.
Practice Exercise
Create and solve one new example of Fair sharing between 4 people. 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.
7.4 Fair sharing between 5 people
Fair sharing between 5 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 5 people using the numbers 20 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 Fair sharing between 5 people.
Worked Example 2
Problem: Create a simple Grade 4 example about Fair sharing between 5 people 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 Fair sharing between 5 people.
Worked Example 3
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 6 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 Fair sharing between 5 people.
Worked Example 4
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 2 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 Fair sharing between 5 people.
Worked Example 5
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 4 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 Fair sharing between 5 people.
Worked Example 6
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 15 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 Fair sharing between 5 people.
Worked Example 7
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 13 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 Fair sharing between 5 people.
Worked Example 8
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 16 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 Fair sharing between 5 people.
Worked Example 9
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 13 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 Fair sharing between 5 people.
Worked Example 10
Problem: Create a simple Grade 4 example about Fair sharing between 5 people using the numbers 9 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 Fair sharing between 5 people.
Practice Exercise
Create and solve one new example of Fair sharing between 5 people. 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.
7.5 Fair sharing between 6 people
Fair sharing between 6 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 6 people using the numbers 13 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 Fair sharing between 6 people.
Worked Example 2
Problem: Create a simple Grade 4 example about Fair sharing between 6 people using the numbers 10 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 Fair sharing between 6 people.
Worked Example 3
Problem: Create a simple Grade 4 example about Fair sharing between 6 people 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 Fair sharing between 6 people.
Worked Example 4
Problem: Create a simple Grade 4 example about Fair sharing between 6 people 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 Fair sharing between 6 people.
Worked Example 5
Problem: Create a simple Grade 4 example about Fair sharing between 6 people 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 Fair sharing between 6 people.
Worked Example 6
Problem: Create a simple Grade 4 example about Fair sharing between 6 people using the numbers 12 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 Fair sharing between 6 people.
Worked Example 7
Problem: Create a simple Grade 4 example about Fair sharing between 6 people 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 Fair sharing between 6 people.
Worked Example 8
Problem: Create a simple Grade 4 example about Fair sharing between 6 people 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 Fair sharing between 6 people.
Worked Example 9
Problem: Create a simple Grade 4 example about Fair sharing between 6 people using the numbers 4 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 Fair sharing between 6 people.
Worked Example 10
Problem: Create a simple Grade 4 example about Fair sharing between 6 people using the numbers 20 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 Fair sharing between 6 people.
Practice Exercise
Create and solve one new example of Fair sharing between 6 people. 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.
7.6 Fair sharing between 8 people
Fair sharing between 8 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 8 people 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 Fair sharing between 8 people.
Worked Example 2
Problem: Create a simple Grade 4 example about Fair sharing between 8 people using the numbers 20 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 Fair sharing between 8 people.
Worked Example 3
Problem: Create a simple Grade 4 example about Fair sharing between 8 people using the numbers 12 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 Fair sharing between 8 people.
Worked Example 4
Problem: Create a simple Grade 4 example about Fair sharing between 8 people using the numbers 10 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 Fair sharing between 8 people.
Worked Example 5
Problem: Create a simple Grade 4 example about Fair sharing between 8 people 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 Fair sharing between 8 people.
Worked Example 6
Problem: Create a simple Grade 4 example about Fair sharing between 8 people 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 Fair sharing between 8 people.
Worked Example 7
Problem: Create a simple Grade 4 example about Fair sharing between 8 people 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 Fair sharing between 8 people.
Worked Example 8
Problem: Create a simple Grade 4 example about Fair sharing between 8 people using the numbers 13 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 Fair sharing between 8 people.
Worked Example 9
Problem: Create a simple Grade 4 example about Fair sharing between 8 people using the numbers 5 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 Fair sharing between 8 people.
Worked Example 10
Problem: Create a simple Grade 4 example about Fair sharing between 8 people 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 Fair sharing between 8 people.
Practice Exercise
Create and solve one new example of Fair sharing between 8 people. 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.
7.7 Fair sharing between 10 people
Fair sharing between 10 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 10 people using the numbers 20 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 Fair sharing between 10 people.
Worked Example 2
Problem: Create a simple Grade 4 example about Fair sharing between 10 people using the numbers 19 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 Fair sharing between 10 people.
Worked Example 3
Problem: Create a simple Grade 4 example about Fair sharing between 10 people using the numbers 13 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 Fair sharing between 10 people.
Worked Example 4
Problem: Create a simple Grade 4 example about Fair sharing between 10 people 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 Fair sharing between 10 people.
Worked Example 5
Problem: Create a simple Grade 4 example about Fair sharing between 10 people 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 Fair sharing between 10 people.
Worked Example 6
Problem: Create a simple Grade 4 example about Fair sharing between 10 people using the numbers 14 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 Fair sharing between 10 people.
Worked Example 7
Problem: Create a simple Grade 4 example about Fair sharing between 10 people using the numbers 6 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 Fair sharing between 10 people.
Worked Example 8
Problem: Create a simple Grade 4 example about Fair sharing between 10 people 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 Fair sharing between 10 people.
Worked Example 9
Problem: Create a simple Grade 4 example about Fair sharing between 10 people using the numbers 10 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 Fair sharing between 10 people.
Worked Example 10
Problem: Create a simple Grade 4 example about Fair sharing between 10 people using the numbers 11 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 Fair sharing between 10 people.
Practice Exercise
Create and solve one new example of Fair sharing between 10 people. 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.
7.8 Comparing fair shares
Comparing fair shares is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 fair shares using the numbers 12 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 fair shares.
Worked Example 2
Problem: Create a simple Grade 4 example about Comparing fair shares using the numbers 16 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 fair shares.
Worked Example 3
Problem: Create a simple Grade 4 example about Comparing fair shares 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 Comparing fair shares.
Worked Example 4
Problem: Create a simple Grade 4 example about Comparing fair shares using the numbers 18 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 fair shares.
Worked Example 5
Problem: Create a simple Grade 4 example about Comparing fair shares using the numbers 8 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 Comparing fair shares.
Worked Example 6
Problem: Create a simple Grade 4 example about Comparing fair shares using the numbers 13 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 Comparing fair shares.
Worked Example 7
Problem: Create a simple Grade 4 example about Comparing fair shares 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 Comparing fair shares.
Worked Example 8
Problem: Create a simple Grade 4 example about Comparing fair shares using the numbers 20 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 Comparing fair shares.
Worked Example 9
Problem: Create a simple Grade 4 example about Comparing fair shares 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 Comparing fair shares.
Worked Example 10
Problem: Create a simple Grade 4 example about Comparing fair shares using the numbers 10 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 fair shares.
Practice Exercise
Create and solve one new example of Comparing fair shares. 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.
7.9 Ordering fair shares
Ordering fair shares is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Ordering fair shares 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 Ordering fair shares.
Worked Example 2
Problem: Create a simple Grade 4 example about Ordering fair shares 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 Ordering fair shares.
Worked Example 3
Problem: Create a simple Grade 4 example about Ordering fair shares 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 Ordering fair shares.
Worked Example 4
Problem: Create a simple Grade 4 example about Ordering fair shares using the numbers 4 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 Ordering fair shares.
Worked Example 5
Problem: Create a simple Grade 4 example about Ordering fair shares using the numbers 10 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 Ordering fair shares.
Worked Example 6
Problem: Create a simple Grade 4 example about Ordering fair shares using the numbers 4 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 Ordering fair shares.
Worked Example 7
Problem: Create a simple Grade 4 example about Ordering fair shares 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 Ordering fair shares.
Worked Example 8
Problem: Create a simple Grade 4 example about Ordering fair shares using the numbers 10 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 Ordering fair shares.
Worked Example 9
Problem: Create a simple Grade 4 example about Ordering fair shares 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 Ordering fair shares.
Worked Example 10
Problem: Create a simple Grade 4 example about Ordering fair shares 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 Ordering fair shares.
Practice Exercise
Create and solve one new example of Ordering fair shares. 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.
7.10 Same whole versus different wholes
Same whole versus different wholes is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Same whole versus different wholes using the numbers 12 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 Same whole versus different wholes.
Worked Example 2
Problem: Create a simple Grade 4 example about Same whole versus different wholes 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 Same whole versus different wholes.
Worked Example 3
Problem: Create a simple Grade 4 example about Same whole versus different wholes 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 Same whole versus different wholes.
Worked Example 4
Problem: Create a simple Grade 4 example about Same whole versus different wholes 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 Same whole versus different wholes.
Worked Example 5
Problem: Create a simple Grade 4 example about Same whole versus different wholes 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 Same whole versus different wholes.
Worked Example 6
Problem: Create a simple Grade 4 example about Same whole versus different wholes using the numbers 8 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 Same whole versus different wholes.
Worked Example 7
Problem: Create a simple Grade 4 example about Same whole versus different wholes using the numbers 5 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 Same whole versus different wholes.
Worked Example 8
Problem: Create a simple Grade 4 example about Same whole versus different wholes 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 Same whole versus different wholes.
Worked Example 9
Problem: Create a simple Grade 4 example about Same whole versus different wholes using the numbers 4 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 Same whole versus different wholes.
Worked Example 10
Problem: Create a simple Grade 4 example about Same whole versus different wholes using the numbers 4 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 Same whole versus different wholes.
Practice Exercise
Create and solve one new example of Same whole versus different wholes. 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.
7.11 Using models to justify fair sharing
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. 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: A data set is [2, 5, 14, 2, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 2
Problem: A data set is [11, 11, 8, 5, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 3
Problem: A data set is [15, 9, 10, 11, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 4
Problem: A data set is [9, 11, 11, 5, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 5
Problem: A data set is [9, 9, 12, 3, 10]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 6
Problem: A data set is [13, 10, 14, 6, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 7
Problem: A data set is [4, 10, 9, 13, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 8
Problem: A data set is [5, 5, 7, 7, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 7
Worked Example 9
Problem: A data set is [15, 3, 4, 13, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 10
Problem: A data set is [4, 3, 8, 12, 14]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Practice Exercise
Create and solve one new example of Using models to justify fair sharing. 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.
7.12 Real-life fair-sharing problems
Real-life fair-sharing problems is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Real-life fair-sharing problems 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 Real-life fair-sharing problems.
Worked Example 2
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems 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 Real-life fair-sharing problems.
Worked Example 3
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems using the numbers 12 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 Real-life fair-sharing problems.
Worked Example 4
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems 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 Real-life fair-sharing problems.
Worked Example 5
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems using the numbers 4 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 Real-life fair-sharing problems.
Worked Example 6
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems using the numbers 13 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 Real-life fair-sharing problems.
Worked Example 7
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems using the numbers 14 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 Real-life fair-sharing problems.
Worked Example 8
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems using the numbers 5 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 Real-life fair-sharing problems.
Worked Example 9
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems 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 Real-life fair-sharing problems.
Worked Example 10
Problem: Create a simple Grade 4 example about Real-life fair-sharing problems using the numbers 13 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 Real-life fair-sharing problems.
Practice Exercise
Create and solve one new example of Real-life fair-sharing problems. 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 Fair sharing between 2 people?
Answer: Fair sharing between 2 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 3 people?
Answer: Fair sharing between 3 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q3. What is important to understand about Fair sharing between 4 people?
Answer: Fair sharing between 4 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q4. What is important to understand about Fair sharing between 5 people?
Answer: Fair sharing between 5 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 6 people?
Answer: Fair sharing between 6 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q6. What is important to understand about Fair sharing between 8 people?
Answer: Fair sharing between 8 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 10 people?
Answer: Fair sharing between 10 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Comparing fair shares?
Answer: Comparing fair shares is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Ordering fair shares?
Answer: Ordering fair shares is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Same whole versus different wholes?
Answer: Same whole versus different wholes is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Using models to justify fair sharing?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q12. What is important to understand about Real-life fair-sharing problems?
Answer: Real-life fair-sharing problems is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q13. How would you explain Fair sharing between 2 people?
Answer: Fair sharing between 2 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q14. How would you explain Fair sharing between 3 people?
Answer: Fair sharing between 3 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q15. How would you explain Fair sharing between 4 people?
Answer: Fair sharing between 4 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q16. How would you explain Fair sharing between 5 people?
Answer: Fair sharing between 5 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q17. How would you explain Fair sharing between 6 people?
Answer: Fair sharing between 6 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q18. How would you explain Fair sharing between 8 people?
Answer: Fair sharing between 8 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q19. How would you explain Fair sharing between 10 people?
Answer: Fair sharing between 10 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q20. How would you explain Comparing fair shares?
Answer: Comparing fair shares is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q21. How would you explain Ordering fair shares?
Answer: Ordering fair shares is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q22. How would you explain Same whole versus different wholes?
Answer: Same whole versus different wholes is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q23. How would you explain Using models to justify fair sharing?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q24. How would you explain Real-life fair-sharing problems?
Answer: Real-life fair-sharing problems is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 2 people?
Answer: Fair sharing between 2 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 3 people?
Answer: Fair sharing between 3 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q27. What should a beginner check when working with Fair sharing between 4 people?
Answer: Fair sharing between 4 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q28. What should a beginner check when working with Fair sharing between 5 people?
Answer: Fair sharing between 5 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. 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 Fair sharing between 6 people?
Answer: Fair sharing between 6 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q30. What should a beginner check when working with Fair sharing between 8 people?
Answer: Fair sharing between 8 people is an important Grade 4 mathematics idea in Fair Sharing and Unit Fractions. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.