Solving Equations Revision Lesson Solving Quadratics thought process

Solving Equations Revision Lesson •

Solving Quadratics thought process Is the quadratic equal to 0? YES Factorise Left Hand Side Equate both parts to 0 Solve each equation NO Rearrange it to make it equal to 0 Move terms to LHS Expand the LHS

Factorise the Left Hand Side The LHS can be Needs to be Factorised Already Factorised (and = 0) Two Terms? Difference of two squares By common factor Three terms?

Solving Quadratics thought process Is the quadratic equal to 0? YES Factorise Left Hand Side Equate both parts to 0 Solve each equation NO Rearrange it to make it equal to 0 Move terms to LHS Expand the LHS

Group Work Revision Activity Give a number to each team member (1, 2, 3) You will be presented with an equation to SOLVE Follow the mind map and decide how to solve it as a group. Each of you must write it down and make sure you have understood how it is done • When I say ‘ 1 s SWAP’ • The number 1 s will go to a different group and explain how they worked it out (can use WB or show on cpybk) – if the group agree with the presented method they say ‘AGREED’. • Once all have agreed the No. 1 s swap back to their group. • •

• Questions

1 2 1. 5 1. 4 1. 35 1. 3 13 + 7 x 1 = 8 23 + 7 x 2 = 22 1. 53 + 7 x 1. 5 = 13. 875 1. 43 + 7 x 1. 4 = 12. 544 1. 33 + 7 x 1. 3 = 11. 297 1. 353 + 7 x 1. 35 = 11. 91 too small /too big too small too big too small 12!! 1. 4