• Quick retrieval from earlier learning (Compound events and sample spaces). Students answer on mini whiteboards.
• Show answers together and note who needs support in the main task.

1. Two fair dice are rolled and the scores added. What is the probability the total is 12? Give a fraction in simplest form. → 1/36Prompt: There are 6 × 6 = 36 equally likely outcomes.
2. A coin is flipped and a six-sided dice is rolled. What is the probability of heads and a 1? Give a fraction. → 1/12Prompt: For independent events, multiply the probabilities.
3. Arjun has 2 T-shirts, 2 pairs of trousers and 3 pairs of trainers. How many different outfits (one of each) can Arjun make? → 12Prompt: Use the counting principle: multiply the number of choices.

• Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
• Share the objective: Count outcomes with lists, grids and the counting principle. Read the success criteria together.

• Work through the example out loud, saying why you do each step, not just what you do.
• Example: A café offers 5 wraps, 6 drinks and 2 fruit pots. A meal deal is one of each. How many different meal deals are there?
• Step 1: 5 × 6 × 2 = 60
• Answer: 60
• 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. A café offers 3 wraps, 2 drinks and 4 fruit pots. A meal deal is one of each. How many different meal deals are there? → 24Prompt: For each wrap, every drink is possible; for each of those, every fruit pot.
2. A locker code has 2 letters (A–Z). Repeats are allowed. How many different codes are possible? → 676Prompt: Each position has 26 choices.

• 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. A café offers 4 wraps, 2 drinks and 5 fruit pots. A meal deal is one of each. How many different meal deals are there? → 40Prompt: For each wrap, every drink is possible; for each of those, every fruit pot.
2. 3 friends line up for a photo. In how many different orders can they stand? → 6Prompt: There are 3 choices for the first place, 2 for the second…

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-7.