• Quick retrieval from earlier learning (Two-way tables). Students answer on mini whiteboards.
• Show answers together and note who needs support in the main task.

1. A two-way table: Year 7 — cats 11, dogs 18; Year 8 — cats 19, dogs 13. How many Year 8 students are there? → 32Prompt: Find the row or column you need.
2. Year 7 — cats 11, dogs 13; Year 8 — cats 10, dogs 9. A Year 7 student is picked at random. What is the probability they prefer cats? Give a fraction in simplest form. → 11/24Prompt: Only look at the Year 7 row.
3. A two-way table: Year 7 — cats 11, dogs 15; Year 8 — cats 5, dogs 13. How many Year 8 students are there? → 18Prompt: Find the row or column you need.

• Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
• Share the objective: Relative frequencies in two-way tables. Read the success criteria together.

• Work through the example out loud, saying why you do each step, not just what you do.
• Example: Year 9 survey. Have a pet: 23 with a phone, 11 without. No pet: 16 with a phone, 20 without. Of the students WITH a phone, what fraction have a pet? Give a fraction in simplest form.
• Step 1: 23 + 16 = 39
• Step 2: 23/39
• Answer: 23/39
• Pause after each step and ask a student to say what comes next.

• Do these together. Students try each step on whiteboards before you reveal it.
• Use the hints as prompts rather than giving the answer.

1. Year 9 survey. Have a pet: 19 with a phone, 18 without. No pet: 19 with a phone, 14 without. Of the students WITH a phone, what fraction have a pet? Give a fraction in simplest form. → 1/2Prompt: Only look at the students with a phone.
2. 40 students in Club A and 60 students in Club B were asked if they recycle at home. 32 in Club A and 30 in Club B said yes. What percentage of Club A recycle at home? → 80Prompt: Relative frequency = count ÷ group total.

• 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.

• Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.

1. 60 students in Club A and 30 students in Club B were asked if they recycle at home. 24 in Club A and 24 in Club B said yes. What percentage of Club A recycle at home? → 40Prompt: Relative frequency = count ÷ group total.
2. In Class X, 24 of 40 students bike to school. In Class Y, 10 of 50 students bike to school. Which class has the higher proportion of cyclists? (X / Y / The same) → XPrompt: Compare proportions, not raw counts.

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-8.