Substitution Grade B 30012022 Unscramble L O and

$Substitution – Grade B 30/01/2022 (Unscramble) L O: and To expressions fractions numbers into$

Substitution – Grade B 30/01/2022 (Unscramble) L O: and To expressions fractions numbers into negative substitute Starter: What does substitution mean? Where does substitution happen in real life? Red a - 5 a, a= -2 8 Amber (2 a)², a= -3 36 Green

Real life example of substitution Key words: Substitute– to replace Expression– Numbers and letters, no equal sign Other topics: Trial and improvement– Distance time Graphs (Linear, quadratic, cubic) Other subjects: Science LO: To substitute negative numbers and fractions into expressions.

Steps to success Red (8 c) I can substitute negative numbers into expressions e. g a - 5 a, a= -2 Amber (8 b) I can substitute negative numbers into expressions involving powers e. g (2 a)², a= -3 Green (8 a) BIDMAS

Red a - 5 a, a= -2 Amber (2 a)², y= -3 Red - Support Amber – Task 1 Green – Task 2 Green LO: To substitute negative numbers and fractions into expressions.

Amber – Task 1 1) a²- 4, a= -3 2) p² + 2 p, 5 4) 2 p², p = -3 5) (2 a)², a= -2 6) 3 a² - 9, a= -4 32 3 9 36 -27 p= -3 3) m² - 5 m, m = -4 Green – Task 2 18 16 39 0. 75 4 1 LO: To substitute negative numbers and fractions into expressions.

Substitute the number into the expression: 2 x² – 9 , x = -2 What is the correct answer? 3 -1 Head -17 Neck Shoulders LO: To substitute negative numbers and fractions into expressions.

Substitute the number into the expression: What is the correct answer? -6 12 Head -3 Neck Shoulders LO: To substitute negative numbers and fractions into expressions.

Steps to success Red (B 3) I can substitute negative numbers into expressions e. g a - 5 a, a= -2 Amber (B 2) I can substitute negative numbers into expressions involving powers e. g (2 a)², a= -3 Green (B 1) BIDMAS

Amber – Task 1 Green – Task 2 Challenge – Task 3 LO: To substitute negative numbers and fractions into expressions.

Amber – Task 1 1) a²- 4, a= -3 2) p² + 2 p, 5 4) 2 p², p = -3 5) (2 a)², a= -2 6) 3 a² - 9, a= -4 32 3 16 36 -27 p= -3 3) m² - 5 m, m = -4 Green – Task 2 18 16 39 0. 75 4 1 LO: To substitute negative numbers and fractions into expressions.

Support: Challenge: If a = 2 and b = 3 1) 2) 3) 4) 5 a² 3 b² 2 a² + 3 4 b² – 1 20 27 11 35 -1 7. 5 6 75 3 4 Note: 5 a² means 5 x a, so 5 x (2 x 2) = 0

Individual Questions (A) Individual Questions 1) 2 a²- 7 , a= -2 1 1) 2 a² - 5, a= -4 27 2) (2 y)³, y= -2 -64 2) (3 y)², y= -3 81 5 LO: To substitute negative numbers and fractions into expressions. (B) 7

Steps to success Red (B 3) I can substitute negative numbers into expressions e. g a - 5 a, a= -2 Amber (B 3) I can substitute negative numbers into expressions involving powers e. g (2 a)², a= -3 Green (B 1) LO: To substitute negative numbers and fractions into expressions.

Challenge: Can you find the Premier League top goal scorer 2013/2014 ? Rooney Adebayor Toure u² + 1 , u= -4 3 t² - 1 , t= -2 28 + m³ , m= -2 Goals: 17 Suarez 2 b² - 1 , b= -4 Goals: 31 Goals: 11 Gerrard 2 x² - 11 x , x= -1 Goals: 13 Goals: 20 Lallana -(s³) - 8 s , s= -1 Goals: 9 Giroud (2 a)² , a= -2 Goals: 16 Van Persie Hazard Sturridge v² + v , v= 3 c² + 2² + 1 , c= 3 -(e³) - 6 , e= -3 Goals: 12 Goals: 14 Goals: 21

5 b - 4 , b= 7 Goals: 31 LO: To substitute numbers into formulae.

Support: If a = 2 and b = 3 1) 2) 3) 4) 5 a² 3 b² 2 a² + 3 4 b² – 1 Note: 5 a² means 5 x a, so 5 x (2 x 2) = Challenge:

Challenge: Can you find the Premier League top goal scorer 2013/2014 ? Rooney Adebayor Toure u² + 1 , u= -4 3 t² - 1 , t= -2 28 + m³ , m= -2 Goals: Suarez 2 b² - 1 , b= -4 Goals: Gerrard 2 x² - 11 x , x= -1 Goals: Lallana -(s³) - 8 s , s= -1 Goals: Giroud (2 a)² , a= -2 Goals: Van Persie Hazard Sturridge v² + v , v= 3 c² + 2² + 1 , c= 3 -(e³) - 6 , e= -3 Goals:

Individual Questions (A) Individual Questions 1) 2 a²- 7 , a= -2 1) 2 a² - 5, a= -4 2) (3 y)², y= -3 2) (2 y)³, y= -2 (B)

Support: Challenge: If a = 2 and b = 10 If a = 2 and c = -1 1) 2) 3) 4) 5) 6) 7) 5 a 3 b 2 a + 3 4 b – 1 Note: 5 a means 5 x a, so 5 x 2 = 5 a² 3 c² 2 a² + 3 4 c² – 1 6 a² + a 2 a² + 3 a 4 c² + c Note: 2 a² means 2 x a², so 2 x 4 =

Substitution – Grade D/C 30/01/2022 LO: To s……………. . numbers into e……………… Starter: What does substitution mean? Where does substitution happen in real life? Red 2 x + 1, x= 4 Amber 4 y² + 2, y= 2 Green 2 x² + 3 x, x=-2

Task 1

Task 2

Individual Questions (A) Individual Questions 1) x + 3, x= 5 1) x - 4, x= 7 2) 5 x - 1, x= 2 2) 3 x + 2, x= 4 3) y² + 2 y, y= 2 3) 2 y² + y, y= 2 Challenge: 2 x² + x, x=-2 Challenge: 3 x² + 2 x, x=-1 Individual Questions (C) Individual Questions 1) x - 2, x= 5 1) x + 7, x= 3 2) 3 x + 3, x= 3 2) 2 x - 3, x= 2 3) y² + 3 y, y= 2 3) 2 y² + y, y= 3 Challenge: x² + 4 x, x=-1 Challenge: 2 x² + 3 x, x=-2 (B) (D)

Challenge: Can you find the Premier League top goal scorer 2013/2014 ? Rooney Adebayor 3 u + 2 , u= 5 3 t - 4 , t= 2 2 m + 4 , m= 8 Goals: Suarez 5 b - 4 , b= 7 Goals: Gerrard 3 x - 17 , x= 10 Goals: Toure Lallana Giroud 4 s - 4 , s= 2 5 a - 4 , a= 4 Goals: Van Persie Hazard Sturridge 2 v + 6 , v= 3 4 c + 2 , c= 3 2 e + 3 , e= 9 Goals:

Challenge: Can you find the Premier League top goal scorer 2013/2014 ? Suarez Sturridge 5 b - 4 , b= 7 2 e + 3 , e= 9 Goals: 31 Hazard 4 c + 2 , c= 3 Goals: 14 Goals: 21 Gerrard 3 x - 17 , x= 10 Goals: 13 Toure 2 m + 4 , m= 8 Goals: 20 Rooney Giroud 3 u + 2 , u= 5 5 a - 4 , a= 4 Goals: 17 Goals: 16 Van Persie Adebayor Lallana 2 v + 6 , v= 3 3 t - 4 , t= 2 4 s - 4 , s= 2 Goals: 11 Goals: 9