Quadratic Inequalities KUS objectives BAT Solve quadratic and
Quadratic Inequalities • KUS objectives BAT Solve quadratic and linear inequalities BAT solve inequalities problems in context Starter:
Starter: x squared greater than 16 If Starter: inequalities notation 3 Then 16 -4 4
Starter: x squared less than 9 If Starter: inequalities notation 3 Then 9 -3 3
If Then Starter: inequalities notation 3 or 81 -12 -3 6
Starter: summary of results -4 -2 0 2 4 6 8 -3 -2 -1 0 1 2 3 -12 -9 -6 -3 0 3 6 9
Factorise and solve i WB 3 a Starter: inequalities notation 3 Factorise Gives Solve Gives
Solve quad inequality i WB 3 a Starter: inequalities notation 3 Answers above zero Then roots -9 2 x values that work
Factorise and solve ii WB 3 b Starter: inequalities notation 3 Factorise Gives Solve Gives
WB 3 b Starter: inequalities notation 3 Then roots 2 6 x values that Answers below or equal to zero work
Solve quad inequality ii WB 4 a what to do if coefficient of x squared is negative part I Answers greater than zero Then roots 5 -2 x values that work
Solve quad inequality ii WB 4 b what to do if coefficient of x squared is negative part II Answers less than zero Then roots 5 -2 x values that work
Practice Starter: inequalities notation 3 Solve these Inequalities. Draw a graph to help you each time
WB 5 i) Solve 5 x – 2 > 3 x + 7 34 56 7 8 9 iii) Solve to find when both inequalities hold true -2 -1 0 1 2 3 4 5 6 7 8 9
WB 6 Problem In context The specification for a new rectangular car park states that the length L is to be 18 m more than the breadth and the perimeter of the car park is to be greater than 68 m The area of the car park is to be less than or equal to 360 m 2 Form two inequalities and solve them to determine the set of possible values of L
WB 6 Challenge double quadratics !
KUS objectives BAT Solve quadratic and linear inequalities BAT solve inequalities problems in context self-assess One thing learned is – One thing to improve is –
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