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Grid Method for Multiplying two Expressions in Algebra

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Presentation on theme: "Grid Method for Multiplying two Expressions in Algebra"— Presentation transcript:

1 Grid Method for Multiplying two Expressions in Algebra
Anne Gilleran

2 Learning Outcome: : To apply the grid method to multiply two brackets
Anne Gilleran

3 We are going to use the Grid Method to multiply the
Following: 30 5 2100 35 x 78 70 350 2730 240 40 8 1. 42 x 57 2. 84 x 95 3. 56 x 78 Anne Gilleran

4 Use the grid method to multiply the following.
40 2 2000 42 x 57 50 100 2394 280 14 7 1. 42 x 57 2. 84 x 95 3. 56 x 78 2394 7980 4368

5 Area = What is the area of the whole plot the owner has to build on?
Anne Gilleran What is the area of the whole plot the owner has to build on? 4 metres 6 metres Area = Free for reuse

6 Write down a simplified expression for the area of the land that is used.
4 metres 6 metres Area = Anne Gilleran

7 Learning Outcome: : To apply the grid method to multiply two brackets
14 x 16 10 4 100 +40 +60 +24 100 40 10 224 60 24 6 (x+4) (x+6) x +4 +4x +6x +24 4x x 3 term quadratic x² +10x +24 6x 24 +6 Anne Gilleran

8 Learning Outcome: : To apply the grid method to multiply two brackets
(2x -3) (x+4) 2x -3 -3x +8x -12 2x² x -3x Please follow this link to see these problems worked out 3 term quadratic x² +5x -12 8x -12 +4 (x+5) (x+4) (x+6) (x+5) (x+1) (x-3) (x+5) (x-1) (2x+5) (x+6) (x+6) (x+5) (x+2) (x-4) (3x+1) (2x+4) (3x+2) (4x-1) (3x-5) (x-3) Anne Gilleran

9 Progress check! 6x² +7x +2 5x² +7x +3 6x² +8x +2 5x² +8x +3 2x 6x² +3x
Try the following question……. 2x (2x+1) (3x+2) +1 6x² +3x What is the correct expansion? 3x 6x² +7x +2 5x² +7x +3 6x² +8x +2 5x² +8x +3 +4x 2 +2 Anne Gilleran

10 RATING SCALE Anne Gilleran

11 I Don’t Understand how to multiply double brackets
Emoji Bottom Sad I AM SAD I Don’t Understand how to multiply double brackets Anne Gilleran

12 Emoji Bottom OK I AM JUST OK Anne Gilleran
I know how to set up the grid I am still making mistakes when multiplying Anne Gilleran

13 Emoji Bottom Happy I AM HAPPY Anne Gilleran
I understand how to set up the grid I can multiply each box correctly I can simplify the terms correctly and get the correct answer nearly always. Anne Gilleran

14 3x + 1 2x + 3 x² +5x +6x +30 x² 5x x² +11x +30 6x 30 6x² +2x +9x +3
3 term quadratic x² +11x +30 6x 30 +6 (3x+1) (2x+3) 3x + 1 6x² +2x +9x +3 2x 6x² 2x 3 term quadratic 6x² +11x +3 + 3 9x 3 Anne Gilleran

15 4x +7 3x +2 2x +3 What is the expression for the area of this plot of land? This plot of land is perfectly square. Write an expression for the area of this plot. Anne Gilleran

16 Progress check! 4x² -2x -2 3x² -10x -8 3x² +14x +8 3x² -10x -2 3x 3x²
+2 3x² 2x What is the correct expansion? x 4x² -2x -2 3x² -10x -8 3x² +14x +8 3x² -10x -2 -4 -12x -8 Anne Gilleran

17 Learning Outcome: : To apply the grid method to multiply two brackets
Expand and simplify I am able to expand double brackets using the grid method. (x-2)(x+3) I am able to expand double brackets with numerical coefficients. (3x+2)(2x+5) Write an expression for the area. I am able to apply to problems in context. 2x +3q 3x +q Anne Gilleran

18 Reflect time I am really pleased with... Today I have tried to...
To progress I need to... Today I have learned that... In these questions I have learnt that… I have been able to… But I got stuck on... Reflect time Before this lesson I could already... Now I can also... I was successful when I… One thing I need to remember from today’s lesson is... I did not know how to… But now I can… The most important thing I learned today is... I can see the link between...


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