1 / 9

Introducing Tak-tiles

Introducing Tak-tiles. Algebra using areas. area a. area b. Adding Areas. area b. area a. This has an area of a. and this has an area of b. So this shape has area. a. + b. Think about this shape;. It could be made like this. Or like this. a + b. a + b. 2 a. + 2 b. =.

veda-giles
Download Presentation

Introducing Tak-tiles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Introducing Tak-tiles Algebra using areas

  2. area a area b Adding Areas area b area a This has an area of a and this has an area of b So this shape has area a + b

  3. Think about this shape; It could be made like this Or like this a + b a + b 2a + 2b = 2(a + b) 2a + 2b

  4. How many different ways can you find of writing the areas of these shapes? b) a) c) d) f) e) g)

  5. How did you do g? and I take away area b I’m left with area a - b If this has area a This has area + (a – b) a 4(2a - b) 3 2 4 2a - b 1 times time OR Which is

  6. So now can you do these? Remember to write them in as many different ways as you can find!! b) d) a) c) e) f) g) h)

  7. area b The 5 ‘easy’ Tak-tiles If the area of the square is a area a and the area of the quadrant is b Then the area of this shape is OR a + 2b b + a + b So what about these? area a + 2b area 4a - 2b area 3a - b area 2a

  8. What about this shape? OR a + 2b + 4a - 2b + 3a - b ________________ 8a + 3b - 4b a +4a – 3a +2b - 2b - b This has area ________________ 8a - b 8a - b Which is Which is

  9. Can you do this shape in the same way? 3a - b + a + 2b + 2a 2b 11a + 3b - area + a + 2b 11a + b + 4a - 2b ________________ 11a + b ________________

More Related