Math lesson plan · 7th grade (Year 8 in England) · 30 minutes
Describe likelihood on the 0 to 1 probability scale
Statistics and probability
CCSS 7.SP.C.5England: KS3 Probability
Objective and success criteria
Students will: Describe likelihood on the 0 to 1 probability scale.
- 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: Probability of simple events
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 · 4 min
- Quick retrieval from earlier learning (Probability of simple events). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- What is the probability of rolling a number greater than 4 on a fair six-sided dice? Give a fraction in simplest form. → 1/3Prompt: List all the equally likely outcomes.
- The probability a spinner lands on blue is 0.05. What is the probability it does NOT land on blue? Give a decimal. → 0.95Prompt: An event either happens or it does not: the two probabilities add up to 1 (or 100%).
- What is the probability of rolling a prime number on a fair six-sided dice? Give a fraction in simplest form. → 1/2Prompt: List all the equally likely outcomes.
Hook · 3 min
- Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
- Share the objective: Describe likelihood on the 0 to 1 probability scale. Read the success criteria together.
I do: model it · 7 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: How likely is picking a red card from a bag of 9 red and 1 blue card?
- Step 1: Likely
- Answer: Likely
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 6 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- How likely is rolling a number less than 7 on a normal die? (Impossible / Unlikely / Even chance / Likely / Certain) → CertainPrompt: Count the outcomes that work and the total outcomes.
- Which of these could NOT be a probability? (0 / 110% / 0.75 / 0.05) → 110%Prompt: Probabilities go from 0 to 1 (0% to 100%).
You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.
Exit ticket · 3 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Which of these could NOT be a probability? (0.05 / 45% / 1.2 / 0) → 1.2Prompt: Probabilities go from 0 to 1 (0% to 100%).
- How likely is rolling a number less than 7 on a normal die? (Impossible / Unlikely / Even chance / Likely / Certain) → CertainPrompt: Count the outcomes that work and the total outcomes.
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: Probability of simple events.
- 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-7.
Free lesson plan from eurekami.com/lesson-plan-builder