You will learn
- Calculate mean and range.
- Draw a graph.
- Describe a trend.
- Link data to a question.
Version 0.2 · expanded edition · built from cited public sources Content is based on the official frameworks and sources listed under Sources and standards. No official endorsement is claimed. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- The mean is the average.
- The range shows spread.
- Line graphs suit changing data.
- Describe trends with numbers.
Words to know
the total divided by the number of values
largest minus smallest value
the pattern in the data
a graph that shows change
1. Discover: The plant heights
Nana’s bean heights after a week are 4, 6, 7 and 9 cm for 0, 5, 10 and 15 ml of water. She plots a graph and sees heights rise with water. “The trend is: more water, taller plant, up to 15 ml,” she says.
Think: What might happen with much more water?
2. Understand: Analysis
Idea 1: Mean and range
The mean is the total divided by how many values. The range is the largest minus the smallest.
Idea 2: Graphs
Use a line graph when both variables are numbers. Label axes with units, choose a sensible scale and plot points carefully.
Idea 3: Trends
Describe the trend with numbers: “As water rose from 0 to 15 ml, height rose from 4 to 9 cm.”
3. Worked examples
Example 1 (I show you): Calculate
Mean.
- Add.
- Divide.
- Unit.
Answer: Mean = total / count.
Example 2 (We do it together): Calculate
Range.
- Largest.
- Smallest.
- Subtract.
Answer: Range.
Example 3 (You try): Describe
Trend.
Show the steps and answer
- Direction.
- Numbers.
- Limit.
Answer: A clear trend.
Did you know?
Graphs helped John Snow link a cholera outbreak in London to one water pump in 1854.
Why this matters
Analysis turns raw data into understanding.
4. Explore: Graph it
Take your bounce heights or plant data, calculate the mean and range, and draw a line graph.
- Find the mean.
- Find the range.
- Draw axes.
- Plot and describe.
Think about it: what did you notice?
What did you notice? The graph made the pattern clear.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The ___ is total divided by number.
- The ___ is largest minus smallest.
- A ___ is the pattern in data.
- A ___ graph shows change.
Guided practice
Question 1. What is mean?
Average.
Question 2. What is range?
Spread.
Question 3. What is a trend?
Pattern.
Independent practice
Level 1: Start
- What is mean?
- What is range?
- What is a trend?
- What is a line graph?
- What do axes need?
Level 2: Grow
- Why mean?
- Why range?
- Why describe?
Level 3: Stretch
- Calculate.
- Draw.
- Describe.
Answers are in the answer key below. Try first, then check.
6. Apply: Science in everyday life
Describe the trend in the plant heights.
Show a sample answer
Use numbers.
Another one. Tell a family member one thing from this lesson. Use the words you learned.
Show a sample answer
A clear sentence that uses at least one word from Words to know.
7. Common mistakes
Fix: Average.
Fix: Need labels.
8. Lesson summary and revision card
- I can calculate mean and range.
- I can draw a graph.
- I can describe a trend.
- I can link data to a question.
9. Check and master
Answer all 14 questions. You will see feedback after each one.
Your result appears here after you answer every question.
10. Key takeaways
- The mean is the average.
- The range shows spread.
- Line graphs suit changing data.
- Describe trends with numbers.
11. Next lesson
Next lesson: Scientific conclusions. Keep going with the next idea in this course.
Exam practice
These questions are written in the style of common school and international primary assessments. Try them on your own, without looking back. Then check your answers in the marking guide. The marks are shown in brackets.
- Define mean and range. [2 marks]
- Calculate the mean of 4, 6, 7, 9. [2 marks]
- Describe how to draw a line graph. [3 marks]
- Describe a trend with numbers. [3 marks]
Total: 10 marks.
Marking guide and model answers
- 1 each
- Total 26 [1]; 26/4 = 6.5 [1]
- Axes [1]; scale [1]; plot [1]
- Direction [1]; numbers [1]; limit [1]
Score guide: 9 to 10 = secure. 6 to 8 = nearly there, revise the parts you missed. Under 6 = work through the lesson again with a grown-up.
Printable worksheet
- What is mean?
- What is range?
- What is a trend?
- What is a line graph?
- What do axes need?
- Why mean?
- Why range?
- Why describe?
- Calculate.
- Draw.
Homework
Find the mean and range of five numbers from home.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 1. What is mean? | Average. | 1 |
| 2. What is range? | Spread. | 1 |
| 3. What is a trend? | Pattern. | 1 |
| 4. What is a line graph? | Shows change. | 1 |
| 5. What do axes need? | Labels. | 1 |
| 6. Why mean? | Typical value. | 1 |
| 7. Why range? | Spread. | 1 |
| 8. Why describe? | Meaning. | 1 |
| 9. Calculate. | Numbers. | 1 |
| 10. Draw. | Graph. | 1 |
| Total | 10 |
Independent practice answers. Level 1: 1 Average.; 2 Spread.; 3 Pattern.; 4 Shows change.; 5 Labels.. Level 2: 1 Typical value.; 2 Spread.; 3 Meaning.. Level 3: 1 Numbers.; 2 Graph.; 3 Sentence..
Quiz answers: 1 B, 2 C, 3 A, 4 B, 5 C, 6 A, 7 B, 8 C, 9 A, 10 B, 11 C, 12 A, Challenge 1 B, Challenge 2 C.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Calculate mean and range | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Draw a graph | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Describe a trend | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Link data to a question | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Courseversity badge thresholds (overall quiz score): Gold = 90–100%; Silver = 80–89.9%; Bronze = 70–79.9%. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: “The mean is the biggest number.” Average.
- Explain another way: use real objects, pictures or actions first, then words.
- Show a simpler example: Analyse and graph data.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
For parents and guardians
In this lesson your child analyses data. You do not need to be an expert to help.
- Find an average together.
- Ask “What does the graph say?”
- Use real numbers.
- Ask “how do you know?” after each answer, and listen.
- Praise effort, not only right answers. Mistakes are how we learn.
- Ten to fifteen minutes a day is better than one long session.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: calculate mean and range; draw a graph; describe a trend; link data to a question.
Prerequisite knowledge. Grade 5 ideas: fair tests, repeating measurements, recording data and drawing conclusions.
Materials. Graph paper, rulers, calculators. Low-resource options: use chalk or charcoal on a board or wall, drawings in the sand, and objects from the classroom instead of printed materials.
Preparation. Print grids.
Suggested duration. 45–60 minutes. It can be split into two shorter sessions.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Ask, “What is the typical height in our class?”
Explanation (10 min). Teach analysis.
Guided activity (10 min). Learners graph.
Independent activity (10 min). Learners describe.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Key questions. What is the mean? What is the trend?
Teacher explanation notes. Start with real objects and safe, hands-on observation. Then talk about what was seen, then draw and write. Always say “how do you know?”. Keep to the safety notes, and use local, safe materials.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and pictures, short sentences and a partner. Let learners point, show or draw instead of writing. Extension. Ask learners to find a new example at home and explain how they know.
Formative assessment. Listen to learners read and explain, ask “how do you know?”, and check the independent work.
Misconceptions. “The mean is the biggest number.” Average.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz, the 10-mark exam practice and the worksheet on this page. All answers and marking guides are in the answer sections above. Re-check every answer before use.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Analyse and graph data. Enrichment. Look for one new example near your home or school, draw it and explain it to someone. Homework. See above.
Teacher reflection. After teaching, record: which ideas learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
This lesson is based on the sources below, and no official endorsement is claimed. Reference starting points: Next Generation Science Standards, Cambridge Primary Science and the IB Primary Years Programme. Where a standard code is named, it points to the official framework.
Research used to shape this lesson. Courseversity Science curriculum, Grade 6 Unit 1, topic 8; Next Generation Science Standards, science and engineering practices; Cambridge Lower Secondary Science, thinking and working scientifically; IB Primary Years Programme, how we express ourselves and how the world works. These sources informed the lesson.