• Quick retrieval from earlier learning (Decide whether ratios are equivalent). Students answer on mini whiteboards.
• Show answers together and note who needs support in the main task.

1. Are the ratios 2:1 and 6:3 equivalent? (Yes / No) → YesPrompt: What was 2 multiplied by to get 6?
2. Which ratio is equivalent to 7:4? (14:6 / 14:8 / 9:6 / 8:14) → 14:8Prompt: Equivalent ratios multiply both parts by the same number.
3. A juice recipe uses 2 cups of mango to 5 cups of water. Fatima uses 6 cups of mango and 9 cups of water. Will it taste the same? (Yes, same ratio / No, different ratio) → No, different ratioPrompt: Same taste means an equivalent ratio.

• Share a recipe for 4 people and ask how much is needed for 6.
• Share the objective: Use a ratio to find a missing quantity. Read the success criteria together.

• Work through the example out loud, saying why you do each step, not just what you do.
• Example: The ratio of goals to missed shots is 4:5. There are 32 goals. How many missed shots are there?
• Step 1: One part = 32 ÷ 4 = 8
• Step 2: 5 × 8 = 40
• Answer: 40
• 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. The ratio of pop songs to rap songs is 5:6. There are 15 pop songs. How many rap songs are there? → 18Prompt: Each “part” is the same size. 5 parts = 15.
2. In a coding club, the ratio of beginners to experienced members is 5:2. There are 8 experienced members. How many members are there altogether? → 28Prompt: 2 parts = 8. How big is one part?

• 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. The ratio of electric cars to petrol cars is 2:6. There are 8 electric cars. How many petrol cars are there? → 24Prompt: Each “part” is the same size. 2 parts = 8.
2. Paint is mixed blue to yellow in the ratio 4:5. There is 3 litres more yellow than blue. How much blue is there, in litres? → 12Prompt: The difference is 5 − 4 = 1 parts.

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-6.