Chapter 43: Infographics and Data Communication
Learn Grade 6 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Infographics and Data Communication in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
Key Technical Terms
- Purpose of an infographic (An infographic combines numbers, words, and visuals to communicate a data message clearly.)
- Choosing key data (Choosing key data is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Titles and labels (Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Icons and visuals (Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Using proportions honestly (Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Combining text and numbers (Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
How to Learn This Chapter
Read the explanation first, follow each worked example slowly, cover the answer and retry the problem yourself, then use the practice and review questions to check understanding.
43.1 Purpose of an infographic
An infographic combines numbers, words, and visuals to communicate a data message clearly. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Classify the data values [4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 2
Problem: Classify the data values [5, 7, 7, 9, 12] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 3
Problem: Classify the data values [3, 5, 8, 8, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 4
Problem: Classify the data values [10, 12, 14, 16] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 5
Problem: Classify the data values [2, 4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 6
Problem: Classify the data values [1, 5, 5, 6, 13] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 7
Problem: Classify the data values [20, 25, 25, 30] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 8
Problem: Classify the data values [7, 8, 9, 10, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 9
Problem: Classify the data values [3, 3, 4, 5, 9] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 10
Problem: Classify the data values [12, 15, 18, 21] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Practice Exercise
Create one new Grade 6 problem about Purpose of an infographic. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is ignoring the scale, labels, units, or the type of data shown.
43.2 Choosing key data
Choosing key data is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Classify the data values [4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 2
Problem: Classify the data values [5, 7, 7, 9, 12] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 3
Problem: Classify the data values [3, 5, 8, 8, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 4
Problem: Classify the data values [10, 12, 14, 16] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 5
Problem: Classify the data values [2, 4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 6
Problem: Classify the data values [1, 5, 5, 6, 13] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 7
Problem: Classify the data values [20, 25, 25, 30] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 8
Problem: Classify the data values [7, 8, 9, 10, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 9
Problem: Classify the data values [3, 3, 4, 5, 9] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 10
Problem: Classify the data values [12, 15, 18, 21] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Practice Exercise
Create one new Grade 6 problem about Choosing key data. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.3 Titles and labels
Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Titles and labels to analyze the values 3 and 6. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Titles and labels to analyze the values 20 and 7. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Titles and labels to analyze the values 23 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Titles and labels to analyze the values 6 and 12. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Titles and labels to analyze the values 17 and 12. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Titles and labels to analyze the values 24 and 6. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Titles and labels to analyze the values 5 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Titles and labels to analyze the values 20 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Titles and labels to analyze the values 25 and 15. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Titles and labels to analyze the values 7 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Titles and labels. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.4 Icons and visuals
Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Icons and visuals to analyze the values 15 and 19. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Icons and visuals to analyze the values 6 and 20. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Icons and visuals to analyze the values 2 and 12. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Icons and visuals to analyze the values 6 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Icons and visuals to analyze the values 2 and 20. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Icons and visuals to analyze the values 19 and 14. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Icons and visuals to analyze the values 19 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Icons and visuals to analyze the values 26 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Icons and visuals to analyze the values 9 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Icons and visuals to analyze the values 13 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Icons and visuals. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.5 Using proportions honestly
Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Using proportions honestly to analyze the values 17 and 5. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Using proportions honestly to analyze the values 6 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Using proportions honestly to analyze the values 2 and 7. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Using proportions honestly to analyze the values 6 and 16. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Using proportions honestly to analyze the values 29 and 8. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Using proportions honestly to analyze the values 23 and 8. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Using proportions honestly to analyze the values 13 and 16. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Using proportions honestly to analyze the values 25 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Using proportions honestly to analyze the values 9 and 20. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Using proportions honestly to analyze the values 3 and 6. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Using proportions honestly. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.6 Combining text and numbers
Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Combining text and numbers to analyze the values 11 and 7. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Combining text and numbers to analyze the values 7 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Combining text and numbers to analyze the values 14 and 5. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Combining text and numbers to analyze the values 6 and 6. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Combining text and numbers to analyze the values 17 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Combining text and numbers to analyze the values 22 and 15. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Combining text and numbers to analyze the values 13 and 15. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Combining text and numbers to analyze the values 29 and 11. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Combining text and numbers to analyze the values 11 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Combining text and numbers to analyze the values 10 and 3. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Combining text and numbers. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.7 Choosing a graph type
Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Choosing a graph type to analyze the values 20 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Choosing a graph type to analyze the values 5 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Choosing a graph type to analyze the values 10 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Choosing a graph type to analyze the values 15 and 15. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Choosing a graph type to analyze the values 15 and 4. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Choosing a graph type to analyze the values 10 and 6. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Choosing a graph type to analyze the values 26 and 15. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Choosing a graph type to analyze the values 9 and 20. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Choosing a graph type to analyze the values 26 and 16. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Choosing a graph type to analyze the values 7 and 6. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Choosing a graph type. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is ignoring the scale, labels, units, or the type of data shown.
43.8 Keeping a visual uncluttered
Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Keeping a visual uncluttered to analyze the values 26 and 3. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Keeping a visual uncluttered to analyze the values 12 and 11. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Keeping a visual uncluttered to analyze the values 10 and 20. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Keeping a visual uncluttered to analyze the values 23 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Keeping a visual uncluttered to analyze the values 2 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Keeping a visual uncluttered to analyze the values 8 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Keeping a visual uncluttered to analyze the values 2 and 14. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Keeping a visual uncluttered to analyze the values 10 and 19. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Keeping a visual uncluttered to analyze the values 21 and 3. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Keeping a visual uncluttered to analyze the values 24 and 3. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Keeping a visual uncluttered. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.9 Citing data sources conceptually
Citing data sources conceptually is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Classify the data values [4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 2
Problem: Classify the data values [5, 7, 7, 9, 12] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 3
Problem: Classify the data values [3, 5, 8, 8, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 4
Problem: Classify the data values [10, 12, 14, 16] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 5
Problem: Classify the data values [2, 4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 6
Problem: Classify the data values [1, 5, 5, 6, 13] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 7
Problem: Classify the data values [20, 25, 25, 30] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 8
Problem: Classify the data values [7, 8, 9, 10, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 9
Problem: Classify the data values [3, 3, 4, 5, 9] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 10
Problem: Classify the data values [12, 15, 18, 21] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Practice Exercise
Create one new Grade 6 problem about Citing data sources conceptually. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.10 Explaining a main message
Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Explaining a main message to analyze the values 23 and 7. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Explaining a main message to analyze the values 9 and 9. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Explaining a main message to analyze the values 24 and 5. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Explaining a main message to analyze the values 20 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Explaining a main message to analyze the values 6 and 8. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Explaining a main message to analyze the values 12 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Explaining a main message to analyze the values 14 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Explaining a main message to analyze the values 27 and 11. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Explaining a main message to analyze the values 29 and 11. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Explaining a main message to analyze the values 11 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Explaining a main message. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.11 Checking accuracy
Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Checking accuracy to analyze the values 17 and 9. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Checking accuracy to analyze the values 26 and 16. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Checking accuracy to analyze the values 11 and 12. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Checking accuracy to analyze the values 5 and 19. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Checking accuracy to analyze the values 29 and 2. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Checking accuracy to analyze the values 23 and 11. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Checking accuracy to analyze the values 6 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Checking accuracy to analyze the values 16 and 3. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Checking accuracy to analyze the values 25 and 8. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Checking accuracy to analyze the values 28 and 19. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Checking accuracy. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
43.12 Designing a simple infographic
An infographic combines numbers, words, and visuals to communicate a data message clearly. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Classify the data values [4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 2
Problem: Classify the data values [5, 7, 7, 9, 12] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 3
Problem: Classify the data values [3, 5, 8, 8, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 4
Problem: Classify the data values [10, 12, 14, 16] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 5
Problem: Classify the data values [2, 4, 6, 8, 10] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 6
Problem: Classify the data values [1, 5, 5, 6, 13] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 7
Problem: Classify the data values [20, 25, 25, 30] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 8
Problem: Classify the data values [7, 8, 9, 10, 11] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 9
Problem: Classify the data values [3, 3, 4, 5, 9] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Worked Example 10
Problem: Classify the data values [12, 15, 18, 21] as quantitative or qualitative.
- They are numerical values.
- Numerical counts or measurements are quantitative.
Very beginner explanation: Quantitative data use numbers to represent counts or measurements.
Answer: Quantitative
Practice Exercise
Create one new Grade 6 problem about Designing a simple infographic. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is ignoring the scale, labels, units, or the type of data shown.
30 Review Questions and Answers
Q1. What is important to understand about Purpose of an infographic?
Answer: An infographic combines numbers, words, and visuals to communicate a data message clearly.
Q2. What is important to understand about Choosing key data?
Answer: Choosing key data is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q3. What is important to understand about Titles and labels?
Answer: Titles and labels is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q4. What is important to understand about Icons and visuals?
Answer: Icons and visuals is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q5. What is important to understand about Using proportions honestly?
Answer: Using proportions honestly is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q6. What is important to understand about Combining text and numbers?
Answer: Combining text and numbers is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q7. What is important to understand about Choosing a graph type?
Answer: Choosing a graph type is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q8. What is important to understand about Keeping a visual uncluttered?
Answer: Keeping a visual uncluttered is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q9. What is important to understand about Citing data sources conceptually?
Answer: Citing data sources conceptually is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q10. What is important to understand about Explaining a main message?
Answer: Explaining a main message is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q11. What is important to understand about Checking accuracy?
Answer: Checking accuracy is a Grade 6 mathematics idea in Infographics and Data Communication. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q12. What is important to understand about Designing a simple infographic?
Answer: An infographic combines numbers, words, and visuals to communicate a data message clearly.
Q13. Why should you show your steps?
Answer: Showing steps makes reasoning easier to verify and helps locate mistakes.
Q14. Why is estimation useful?
Answer: Estimation helps you judge whether a final answer is reasonable before accepting it.
Q15. Why do units matter?
Answer: Units tell what a value measures and help prevent incompatible quantities from being mixed.
Q16. When should you round?
Answer: Usually round near the end unless the question specifically asks for earlier rounding.
Q17. How can you check an answer?
Answer: Use an inverse operation, substitution, estimation, a graph, a table, or a second method.
Q18. What should you identify first in a word problem?
Answer: Identify what is known, what is unknown, and the relationship connecting them.
Q19. What makes a final answer complete?
Answer: Give the value, correct units when needed, and a brief interpretation in context.
Q20. What should you do if an answer seems unreasonable?
Answer: Re-read the question and check copied values, operations, signs, units, rules, and calculations.
Q21. Why are diagrams useful?
Answer: A labelled diagram can reveal relationships that are harder to see in words alone.
Q22. Why are tables useful?
Answer: Tables organize values so patterns, rates, comparisons, and missing information are easier to see.
Q23. Why are graphs useful?
Answer: Graphs make relationships, changes, trends, and comparisons visible.
Q24. Why should you explain your reasoning?
Answer: An explanation shows why a method works instead of only giving a final number.
Q25. Why can more than one strategy be correct?
Answer: Different correct strategies can represent the same mathematics in different but equivalent ways.
Q26. What should you do before using a formula or rule?
Answer: Check what each quantity means and whether the rule matches the situation.
Q27. How does practice help in mathematics?
Answer: Practice builds accuracy and fluency while helping you recognize which strategies fit different problems.
Q28. What is a good way to learn from a mistake?
Answer: Find the exact step where the reasoning changed from correct to incorrect, then solve a similar problem again.
Q29. Why should you compare an exact answer with an estimate?
Answer: The estimate gives a quick reasonableness check for the exact calculation.
Q30. What does representing mathematics mean?
Answer: It means showing an idea with numbers, symbols, words, diagrams, tables, graphs, or models.