Tactiles lesson 1

1. Tactiles lesson 1

2. Learning Objective R/A/G Use letter symbols to represent unknown variables Key Words Simplify, Variable • Are you ready to learn? • Planner on green • Correct equipment • Key objective written down.

3. The Situation It is 2020. Companies rule the world. There are good companies, bad companies, and just alright companies. And they make everything: window handles; blue cars; on/off buttons; and horses. Well almost everything. To this day there has still never been a company that makes, yes you’ve guessed it: Triangles! Your Job You can’t believe it. No one else has noticed. It came to you in a dream one hot night. Make triangles, lots and lots of triangles. Create a super company that makes triangles. How will you do it? What will your company be called? Do you have a cool LOGO? What type of triangles do people want? How much can you sell them for? So much to do.. so little time.

4. Your First Mission; • We are going to design a mathematical logo for the company. • You have decided that the only way to design a truly mathematical design is to use TACTILES. • But first you need to investigate what tactiles are…

5. This is Taktile 1. We don’t know it’s area, so we represent it’s area with… How would we represent the combined area of this shape? Yes, it’s 5x Well done! x Now, how many ‘pentominoes’ can you make from 5 ‘x’-shapes?

6. TakTiles This is Taktile 2. We don’t know it’s area, so we represent it’s area with… How would we represent the combined area of this shape? y Yes, it’s 2y Well done!

7. Now, let’s try some more difficult combined shapes.

8. And more difficult…

9. Can you make and draw two different shapes with the following areas? • 3x • 2x + y • x + 3y • 4x + 2y • x - y

10. Tactiles lesson 2 Resources Taktiles, whiteboards, white paper

11. To find the areas of taktiles using algebra unknown, simplify, variable 01/09/2014 • Are you ready to learn? • Planner on green • Correct equipment • Key objective written down.

12. Multiply 11 x 40 • Simplify 2x + 6y + 6x + 9y • How many degrees are in a circle? • Find the mean of: 3, 7, 5 • Divide 220 by 11 • If 8b = 64, find b • Name this shape • Find P (throwing an even number with a die) • What is ¼ of 440? • What is the formula for the area of a rectangle?

13. Now, lets introduce the final Taktile. Look at the square below. What would happen if you took a big ‘y’-shaped bite out of it? [3 clicks] Now try and work out this tough combo. [5 clicks] End 

14. Shape 1

15. Shape 2

16. Shape 3

17. Shape 4

18. Shape 5

19. Tak A

20. Tak B

21. Tak C

22. Tak D

23. Tak E

24. Tactiles lesson 3

25. Learning Objective R/A/G To use our taktiles to find more difficult areas Key Words 01/09/2014 Simplify, Variable • Are you ready to learn? • Planner on green • Correct equipment • Key objective written down.

26. x y 2x 4y 2x 6y What expression is at the top of the pyramid?

27. How can you find the area? What taktiles have been used?

29. Shape 5 Back to front

30. What happens if you put 4 y’s together? How about if I made it 4 times smaller?

31. Some more tricky shapes to try...

32. 4y 2x 6y 4y 2x 6y 4y 2x 6y 4y 2x 6y x y 2x x y 2x x y 2x x y 2x

33. To produce our logo with a given area collect like terms 16/09/05 7b

34. x +y x-2y 3x 3x +y x-y 2x +y What expression is at the top of the pyramid? Even harder Than last Time!!

35. Designing a logo • We are going to design a mathematical logo for the company. • You have decided that the only way to design a truly mathematical design is to use TACTILES. • You only have enough money for materials to make a logo with an area of 4x + 3y.

36. x +y x-2y 3x x +y x-2y 3x x +y x-2y 3x x +y x-2y 3x 3x +y x-y 2x+y 3x +y x-y 2x+y 3x +y x-y 2x+y 3x +y x-y 2x+y