1. Oral/Mental Starter Objective To be able to solve mathematical puzzles trying all possibilities.

3. Lesson Objective To be able to solve mathematical puzzles, recognise and explain patterns and relationships generalise and predict.

4. By the end of this lesson, children will be able to: ● solve a problem by identifying and prioritising given facts and information; ● use what they know about the structure of a problem to create one of their own.

5. Q. If the total of the third row was 12 what would you work out? Q. If the total of the fourth column was 16 what would you work out? How?

6. ● + ● + ● + ● = 12 ● = 3 ● + ▲ + ●+ ▲ = 16 3 + ▲ + 3 + ▲ = 16 so ▲ + ▲ = 10 so ▲ = 5

7. Q. Are these three totals helpful? Q. Do you have enough information to solve this problem?

8. Q. What are the values of ▲, ● and ♣ ? Q. How did you solve the problem? Q. Which was the most important row or column? Q. Why was it the most important?

9. Q. What calculation did you have to do to establish what ● was?

10. Q. Which column or row did you do next? Why?

11. Q. What calculations did you do to find out the value of ▲ ?

12. Q. How did your recording help?

13. Q. What did you do next? Q. Why were you now able to solve the whole problem? Q. How many pieces of information were you given at the start of the problem? Q. What information was it?

14. Your challenge is to solve the shape puzzle.

15. Plenary

16. Q. How many pieces of information did they give us? Q. Which was the most important? Q. Could we solve the problem if we took one piece of information away? Q. What does each shape stand for on your puzzle?