Grid Method for Multiplying two Expressions in Algebra

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Presentation transcript:

Grid Method for Multiplying two Expressions in Algebra Anne Gilleran

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

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

Use the grid method to multiply the following. 40 2 2000 +100+280+14 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

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 = https://pxhere.com/en/photo/53262 Free for reuse

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

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 x² +4x +6x +24 x² 4x x 3 term quadratic x² +10x +24 6x 24 +6 Anne Gilleran

Learning Outcome: : To apply the grid method to multiply two brackets (2x -3) (x+4) 2x -3 x² -3x +8x -12 2x² x -3x Please follow this link to see these problems worked out https://youtu.be/ew6PAwrkTE0 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

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

RATING SCALE Anne Gilleran

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

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

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

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

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

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

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

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...