1. Expanding brackets Slideshow 11, Mathematics Mr Richard Sasaki, Room 307

2. Objectives Review algebraic rules learned so far Review algebraic rules learned so far Learn how to expand brackets (known as the Distributive Law) Learn how to expand brackets (known as the Distributive Law) Expand brackets with unknowns on the outside Expand brackets with unknowns on the outside

3. Puzzle Try to figure out the puzzle below! How much do each of the cars cost? Making algebraic equations may help you solve this problem.

4. Puzzle - Process We should consider the cost of each car algebraically. Algebraic equations make the problem look simpler (I hope)!

5. Puzzle - Result So here, we can see doubling is the same thing as adding £5000 to the price. £5000 £5000 £5000 £10000 £10000

6. Rules in Algebra Here are some problems showing rules we know so far.

7. Expanding Brackets Mr. Sasaki lends three students a total of 2 one yen coins and 3 dice each. How could we express this algebraically? Algebraically, how can we show how much of each type of note I handed out?

8. Expanding Brackets Let’s look at the calculation in detail. Let’s try some examples.

9. Answers

10. Other Expansions How would you calculate this? Algebraic values on the outside multiply the inside of the bracket in the same way. Example Note: Expanding brackets is known to some people as the Distributive Law. Note: Remember… Double means and triple means.

11. Answers - Easy

12. Answers - Hard