Math lesson plan · 6th grade (Year 7 in England) · 45 minutes
Find the mode and the range
Statistics and probability
CCSS 6.SP.B.5.CEngland: KS3 StatisticsEngland: GCSE Foundation Statistics
Objective and success criteria
Students will: Find the mode and the range.
- I can answer questions on today's skill on my own, without help.
- I can explain each step and say why it works.
- I can check my answer and spot a mistake.
Before and after
Needs first: Mean, median, mode and range
Leads to: the next skill in this area.
Materials: Squared paper for charts, Class survey data, Sticky notes for a live chart, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 5 min
- Quick retrieval from earlier learning (Mean, median, mode and range). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Find the mean of: 20, 8, 21, 19, 22 → 18Prompt: Add all the numbers.
- Find the median of: 7, 6, 8, 8, 26, 7, 2, 24 → 7.5Prompt: Put the numbers in order first.
- Find the range of: 12, 18, 13, 13, 11, 8 → 10Prompt: Range = largest − smallest.
Hook · 5 min
- Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
- Share the objective: Find the mode and the range. Read the success criteria together.
I do: model it · 10 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: What is the mode of: 2, 13, 18, 1, 18, 18, 20, 3?
- Step 1: 18 appears 3 times.
- Answer: 18
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 10 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- What is the mode of: 6, 19, 5, 21, 8, 18, 6, 6? → 6Prompt: The mode is the value that appears most often.
- Midday temperatures (°C) for a week: 19, 7, −8, 4, 2, 10, −7. What is the range? → 27Prompt: Range = highest − lowest.
You do: independent practice · 10 min
- Students work on the student sheet. Circulate and check the first two answers of every student early.
- Students who finish: write a question of their own for a partner, with the answer.
The 8 questions are on the student sheet below, with answers in the key.
Exit ticket · 5 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Midday temperatures (°C) for a week: 12, −3, 6, −4, 17, −2, 7. What is the range? → 21Prompt: Range = highest − lowest.
- The range of Ravi's quiz scores is 23. The lowest score is 5. What is the highest score? → 28Prompt: Range = highest − lowest.
Watch out for
- Forgetting to put data in order before finding the median.
- Reading a bar's height wrongly when the scale goes up in 2s or 5s.
Support and stretch
Support
- Review first: Mean, median, mode and range.
- Use concrete materials: squared paper for charts.
- Give the first step of each question, or a partly worked example to finish.
- Pair with a confident partner for the guided practice.
Stretch
- Explain a common mistake in writing and how to fix it.
- Write a word problem that uses today's skill, then solve a partner's.
Homework and more practice
Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-6.
Free lesson plan from eurekami.com/lesson-plan-builder