Chapter 45: Multiple-Bar Graphs
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Multiple-Bar Graphs in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
45.1 Why use a multiple-bar graph
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 [13, 15, 5, 11, 6]. 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 2
Problem: A data set is [14, 3, 11, 8, 7]. 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 3
Problem: A data set is [2, 9, 11, 4, 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: 11
Worked Example 4
Problem: A data set is [9, 5, 12, 2, 8]. 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 5
Problem: A data set is [15, 3, 8, 13, 7]. 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 6
Problem: A data set is [13, 14, 3, 10, 15]. 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 7
Problem: A data set is [9, 4, 8, 3, 4]. 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: 9
Worked Example 8
Problem: A data set is [5, 2, 13, 11, 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: 13
Worked Example 9
Problem: A data set is [4, 15, 10, 3, 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: 15
Worked Example 10
Problem: A data set is [4, 13, 5, 12, 7]. 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
Practice Exercise
Create and solve one new example of Why use a multiple-bar graph. 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.
45.2 Two data sets
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 [14, 3, 8, 7, 15]. 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 2
Problem: A data set is [4, 15, 7, 2, 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: 15
Worked Example 3
Problem: A data set is [5, 6, 4, 10, 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: 10
Worked Example 4
Problem: A data set is [8, 4, 5, 2, 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: 8
Worked Example 5
Problem: A data set is [9, 7, 14, 14, 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: 14
Worked Example 6
Problem: A data set is [3, 7, 11, 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 7
Problem: A data set is [6, 7, 9, 14, 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
Worked Example 8
Problem: A data set is [7, 10, 15, 12, 4]. 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 9
Problem: A data set is [3, 4, 10, 8, 3]. 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: 10
Worked Example 10
Problem: A data set is [3, 6, 5, 11, 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: 13
Practice Exercise
Create and solve one new example of Two data sets. 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.
45.3 Categories
Categories is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Categories using the numbers 12 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 Categories.
Worked Example 2
Problem: Create a simple Grade 4 example about Categories using the numbers 7 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 Categories.
Worked Example 3
Problem: Create a simple Grade 4 example about Categories 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 Categories.
Worked Example 4
Problem: Create a simple Grade 4 example about Categories 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 Categories.
Worked Example 5
Problem: Create a simple Grade 4 example about Categories 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 Categories.
Worked Example 6
Problem: Create a simple Grade 4 example about Categories using the numbers 7 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 Categories.
Worked Example 7
Problem: Create a simple Grade 4 example about Categories using the numbers 8 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 Categories.
Worked Example 8
Problem: Create a simple Grade 4 example about Categories using the numbers 16 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Categories.
Worked Example 9
Problem: Create a simple Grade 4 example about Categories 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 Categories.
Worked Example 10
Problem: Create a simple Grade 4 example about Categories 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 Categories.
Practice Exercise
Create and solve one new example of Categories. 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.
45.4 Legend or key
Legend or key is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Legend or key using the numbers 8 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Legend or key.
Worked Example 2
Problem: Create a simple Grade 4 example about Legend or key using the numbers 14 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Legend or key.
Worked Example 3
Problem: Create a simple Grade 4 example about Legend or key 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 Legend or key.
Worked Example 4
Problem: Create a simple Grade 4 example about Legend or key using the numbers 9 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Legend or key.
Worked Example 5
Problem: Create a simple Grade 4 example about Legend or key using the numbers 11 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 Legend or key.
Worked Example 6
Problem: Create a simple Grade 4 example about Legend or key 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 Legend or key.
Worked Example 7
Problem: Create a simple Grade 4 example about Legend or key using the numbers 7 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 Legend or key.
Worked Example 8
Problem: Create a simple Grade 4 example about Legend or key using the numbers 8 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 Legend or key.
Worked Example 9
Problem: Create a simple Grade 4 example about Legend or key using the numbers 8 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 Legend or key.
Worked Example 10
Problem: Create a simple Grade 4 example about Legend or key using the numbers 2 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Legend or key.
Practice Exercise
Create and solve one new example of Legend or key. 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.
45.5 Horizontal axis
Horizontal axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Horizontal axis using the numbers 12 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 Horizontal axis.
Worked Example 2
Problem: Create a simple Grade 4 example about Horizontal axis using the numbers 7 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Horizontal axis.
Worked Example 3
Problem: Create a simple Grade 4 example about Horizontal axis using the numbers 13 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 Horizontal axis.
Worked Example 4
Problem: Create a simple Grade 4 example about Horizontal axis using the numbers 15 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 Horizontal axis.
Worked Example 5
Problem: Create a simple Grade 4 example about Horizontal axis using the numbers 18 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 Horizontal axis.
Worked Example 6
Problem: Create a simple Grade 4 example about Horizontal axis 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 Horizontal axis.
Worked Example 7
Problem: Create a simple Grade 4 example about Horizontal axis using the numbers 11 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 Horizontal axis.
Worked Example 8
Problem: Create a simple Grade 4 example about Horizontal axis 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 Horizontal axis.
Worked Example 9
Problem: Create a simple Grade 4 example about Horizontal axis using the numbers 9 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 Horizontal axis.
Worked Example 10
Problem: Create a simple Grade 4 example about Horizontal axis 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 Horizontal axis.
Practice Exercise
Create and solve one new example of Horizontal axis. 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.
45.6 Vertical axis
Vertical axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Vertical axis using the numbers 10 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 Vertical axis.
Worked Example 2
Problem: Create a simple Grade 4 example about Vertical axis 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 Vertical axis.
Worked Example 3
Problem: Create a simple Grade 4 example about Vertical axis 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 Vertical axis.
Worked Example 4
Problem: Create a simple Grade 4 example about Vertical axis 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 Vertical axis.
Worked Example 5
Problem: Create a simple Grade 4 example about Vertical axis using the numbers 18 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 Vertical axis.
Worked Example 6
Problem: Create a simple Grade 4 example about Vertical axis using the numbers 8 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 Vertical axis.
Worked Example 7
Problem: Create a simple Grade 4 example about Vertical axis 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 Vertical axis.
Worked Example 8
Problem: Create a simple Grade 4 example about Vertical axis 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 Vertical axis.
Worked Example 9
Problem: Create a simple Grade 4 example about Vertical axis using the numbers 18 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 Vertical axis.
Worked Example 10
Problem: Create a simple Grade 4 example about Vertical axis 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 Vertical axis.
Practice Exercise
Create and solve one new example of Vertical axis. 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.
45.7 Choosing a scale
Choosing a scale is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Choosing a scale 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 Choosing a scale.
Worked Example 2
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 10 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Choosing a scale.
Worked Example 3
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 7 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 Choosing a scale.
Worked Example 4
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 15 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 Choosing a scale.
Worked Example 5
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 16 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Choosing a scale.
Worked Example 6
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 14 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Choosing a scale.
Worked Example 7
Problem: Create a simple Grade 4 example about Choosing a scale 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 Choosing a scale.
Worked Example 8
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 6 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Choosing a scale.
Worked Example 9
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 3 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 Choosing a scale.
Worked Example 10
Problem: Create a simple Grade 4 example about Choosing a scale using the numbers 11 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Choosing a scale.
Practice Exercise
Create and solve one new example of Choosing a scale. 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.
45.8 Drawing paired bars
Drawing paired bars is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Drawing paired bars 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 Drawing paired bars.
Worked Example 2
Problem: Create a simple Grade 4 example about Drawing paired bars 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 Drawing paired bars.
Worked Example 3
Problem: Create a simple Grade 4 example about Drawing paired bars using the numbers 9 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Drawing paired bars.
Worked Example 4
Problem: Create a simple Grade 4 example about Drawing paired bars using the numbers 16 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 Drawing paired bars.
Worked Example 5
Problem: Create a simple Grade 4 example about Drawing paired bars using the numbers 17 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 Drawing paired bars.
Worked Example 6
Problem: Create a simple Grade 4 example about Drawing paired bars using the numbers 19 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 Drawing paired bars.
Worked Example 7
Problem: Create a simple Grade 4 example about Drawing paired bars 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 Drawing paired bars.
Worked Example 8
Problem: Create a simple Grade 4 example about Drawing paired bars using the numbers 5 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Drawing paired bars.
Worked Example 9
Problem: Create a simple Grade 4 example about Drawing paired bars using the numbers 20 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Drawing paired bars.
Worked Example 10
Problem: Create a simple Grade 4 example about Drawing paired bars using the numbers 6 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Drawing paired bars.
Practice Exercise
Create and solve one new example of Drawing paired bars. 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.
45.9 Reading exact values
Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value. 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: Option A costs $4 for 3 items. Option B costs $12 for 1 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 2
Problem: Option A costs $6 for 4 items. Option B costs $4 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 3
Problem: Option A costs $11 for 2 items. Option B costs $10 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 4
Problem: Option A costs $2 for 3 items. Option B costs $6 for 5 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 5
Problem: Option A costs $5 for 1 items. Option B costs $6 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 6
Problem: Option A costs $7 for 5 items. Option B costs $9 for 5 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 7
Problem: Option A costs $12 for 2 items. Option B costs $7 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 8
Problem: Option A costs $12 for 1 items. Option B costs $11 for 5 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 9
Problem: Option A costs $7 for 4 items. Option B costs $2 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 10
Problem: Option A costs $10 for 2 items. Option B costs $9 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Practice Exercise
Create and solve one new example of Reading exact values. 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.
45.10 Comparing categories
Comparing categories is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 categories using the numbers 4 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing categories.
Worked Example 2
Problem: Create a simple Grade 4 example about Comparing categories 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 Comparing categories.
Worked Example 3
Problem: Create a simple Grade 4 example about Comparing categories using the numbers 9 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 categories.
Worked Example 4
Problem: Create a simple Grade 4 example about Comparing categories using the numbers 8 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 Comparing categories.
Worked Example 5
Problem: Create a simple Grade 4 example about Comparing categories using the numbers 6 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 Comparing categories.
Worked Example 6
Problem: Create a simple Grade 4 example about Comparing categories 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 Comparing categories.
Worked Example 7
Problem: Create a simple Grade 4 example about Comparing categories using the numbers 2 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing categories.
Worked Example 8
Problem: Create a simple Grade 4 example about Comparing categories using the numbers 20 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing categories.
Worked Example 9
Problem: Create a simple Grade 4 example about Comparing categories using the numbers 5 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Comparing categories.
Worked Example 10
Problem: Create a simple Grade 4 example about Comparing categories using the numbers 20 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 categories.
Practice Exercise
Create and solve one new example of Comparing categories. 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.
45.11 Finding greatest differences
Subtraction finds what remains or the difference between quantities. Addition is a useful way to check. 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 Finding greatest differences using the numbers 7 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 Finding greatest differences.
Worked Example 2
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Worked Example 3
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Worked Example 4
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Worked Example 5
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Worked Example 6
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Worked Example 7
Problem: Create a simple Grade 4 example about Finding greatest differences using the numbers 14 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Finding greatest differences.
Worked Example 8
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Worked Example 9
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Worked Example 10
Problem: Create a simple Grade 4 example about Finding greatest differences 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 Finding greatest differences.
Practice Exercise
Create and solve one new example of Finding greatest differences. 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.
45.12 Drawing conclusions from the graph
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 [14, 7, 14, 15, 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: 15
Worked Example 2
Problem: A data set is [4, 8, 9, 6, 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: 9
Worked Example 3
Problem: A data set is [10, 2, 3, 15, 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: 15
Worked Example 4
Problem: A data set is [10, 3, 7, 15, 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: 15
Worked Example 5
Problem: A data set is [12, 3, 4, 15, 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: 15
Worked Example 6
Problem: A data set is [5, 11, 7, 5, 4]. 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 7
Problem: A data set is [5, 2, 2, 9, 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: 9
Worked Example 8
Problem: A data set is [5, 8, 6, 10, 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: 10
Worked Example 9
Problem: A data set is [15, 6, 12, 7, 3]. 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, 13, 3, 9, 12]. 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
Practice Exercise
Create and solve one new example of Drawing conclusions from the graph. 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 Why use a multiple-bar graph?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q2. What is important to understand about Two data sets?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q3. What is important to understand about Categories?
Answer: Categories is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Legend or key?
Answer: Legend or key is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Horizontal axis?
Answer: Horizontal axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Vertical axis?
Answer: Vertical axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Choosing a scale?
Answer: Choosing a scale is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Drawing paired bars?
Answer: Drawing paired bars is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Reading exact values?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q10. What is important to understand about Comparing categories?
Answer: Comparing categories is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Finding greatest differences?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.
Q12. What is important to understand about Drawing conclusions from the graph?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q13. How would you explain Why use a multiple-bar graph?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q14. How would you explain Two data sets?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q15. How would you explain Categories?
Answer: Categories is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q16. How would you explain Legend or key?
Answer: Legend or key is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q17. How would you explain Horizontal axis?
Answer: Horizontal axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q18. How would you explain Vertical axis?
Answer: Vertical axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q19. How would you explain Choosing a scale?
Answer: Choosing a scale is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q20. How would you explain Drawing paired bars?
Answer: Drawing paired bars is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q21. How would you explain Reading exact values?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q22. How would you explain Comparing categories?
Answer: Comparing categories is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q23. How would you explain Finding greatest differences?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.
Q24. How would you explain Drawing conclusions from the graph?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q25. What should a beginner check when working with Why use a multiple-bar graph?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q26. What should a beginner check when working with Two data sets?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q27. What should a beginner check when working with Categories?
Answer: Categories is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Legend or key?
Answer: Legend or key is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Horizontal axis?
Answer: Horizontal axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. 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 Vertical axis?
Answer: Vertical axis is an important Grade 4 mathematics idea in Multiple-Bar Graphs. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.