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Published byEverett Titlow Modified over 2 years ago

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Introducing Tak- tiles Algebra using areas

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

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Think about this shape; Or like thisIt could be made like this 2a2a + 2b a + b 2a + 2b = 2(a + b)

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

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How did you do g? If this has area a and I take away area bIm left with area a - b This has area a + (a – b) Which is time2a - b 4(2a - b) ORtimes1 234

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

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

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What about this shape? This has area 8a8a+3b3b-4b4b Which is 8a - b OR a + 2b 4a - 2b 3a - b + + ________________ a + 4a – 3a +2b - 2b - b Which is 8a - b ________________

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Can you do this shape in the same way? area 11a+3b3b- 2b2b 11a + b a + 2b 2a2a + + 3a - b 4a - 2b a + 2b + + ________________ 11a + b

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