Substitution Level 4 6 31012022 expressions substitute numbers
Substitution – Level 4 - 6 31/01/2022 expressions substitute numbers into e……………… LO: To s……………. . Starter: What does substitution mean? Where does substitution happen in real life? Red 2 x + 1, x= 4 9 Amber 4 y² + 2, y= 2 18 Green 2 x² + 3 x, x=-2 2
Real life example of substitution Key words: Substitute– to replace Expression– Numbers and letters, no equal sign LO: To substitute numbers into expressions.
Steps to success Red (4) I can successfully substitute numbers into basic expressions e. g x + 5, x= 2 Amber (5) I can substitute numbers into more difficult expressions e. g 4 x + 1, x= 3 Green (6) I can substitute into expressions with powers and more than one letter e. g 2 y²+ 3 y, x= 4 Challenge (6/7) I can substitute into expressions with powers and more than one letter e. g 2 y²+ 3 y, x= -2
Red 2 x + 1, x= 4 Red - Support 9 Amber 4 y² + 2, y= 2 Amber – Task 1 18 Green 2 x² + 3 x, x=-2 Green – Task 2 2 LO: To substitute numbers into expression.
Amber – Task 1 Green – Task 2 LO: To substitute numbers into expressions.
Red Substitute the number into the expression: 5 x – 4 , x=3 What is the correct answer? 3 11 LO: To substitute numbers into expressions. 19
Amber Substitute the number into the expression: 2 x² + 1 , x = 2 What is the correct answer? 9 5 LO: To substitute numbers into expressions. 3
Green Substitute the number into the expression: 3 x² + 1 , x = -2 What is the correct answer? 13 -11 LO: To substitute numbers into expressions. 7
Steps to success Red (4) I can successfully substitute numbers into basic expressions e. g x + 5, x= 2 Amber (5) I can substitute numbers into more difficult expressions e. g 4 x + 1, x= 3 Green (6) I can substitute into expressions with powers and more than one letter e. g 2 y²+ 3 y, x= 4 Challenge (6/7) I can substitute into expressions with powers and more than one letter e. g 2 y²+ 3 y, x= -2
Amber – Task 1 Green – Task 2 LO: To substitute numbers into expressions.
Support: Challenge: If a = 2 and b = 10 If a = 2 and c = -2 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 = 10 30 7 39 5 a² 3 c² 2 a² + 3 4 c² – 1 6 a² + a 2 a² + 3 a 3 c² + c Note: 2 a² means 2 x a², so 2 x 4 = 20 12 11 15 26 14 10
Individual Questions (A) Individual Questions (B) 1) x + 3, x= 5 8 1) x - 4, x= 7 3 2) 5 x - 1, x= 2 9 2) 3 x + 2, x= 4 14 3) y² + 2 y, y= 2 8 3) 2 y² + y, y= 2 10 Challenge: 2 x² + x, x=-2 6 Challenge: 3 x² + 2 x, x=-1 1 Individual Questions (C) Individual Questions (D) 1) x - 2, x= 5 3 1) x + 7, x= 3 10 2) 3 x + 3, x= 3 12 2) 2 x - 3, x= 2 1 3) y² + 3 y, y= 2 10 3) 2 y² + y, y= 3 21 Challenge: x² + 4 x, x=-1 -3 Challenge: 2 x² + 3 x, x=-2 2
Steps to success Red (4) I can successfully substitute numbers into basic expressions e. g x + 5, x= 2 Amber (5) I can substitute numbers into more difficult expressions e. g 4 x + 1, x= 3 Green (6) I can substitute into expressions with powers and more than one letter e. g 2 y²+ 3 y, x= 4 Challenge (6/7) I can substitute into expressions with powers and more than one letter e. g 2 y²+ 3 y, x= -2
Challenge: Can you find the Champions League top goal scorer 2014/2015 ? Neymar 3 u + 3 , u= 2 Goals: 9 Messi 5 b - 5 , b= 3 Goals: 10 Suarez Tevez 3 t - 3 , t= 3 Goals: 6 Gerrard 3 x - 28 , x= 10 Goals: 2 2 m - 3 , m= 5 Goals: 7 Brahimi 2 v - 1 , v= 3 Goals: 5 Ronaldo 4 s + 2 , s= 2 Goals: 10 Hazard 2 c² + 1 , c= -1 Goals: 3 Benzima 5 a - 13 , a= 4 Goals: 7 Martinez e² + 3 , e= -2 Goals: 7
Ronaldo Messi 4 s + 2 , s= 2 5 b - 5 , b= 3 Goals: 10 LO: To substitute numbers into formulae.
Support: Challenge: If a = 2 and b = 10 If a = 2 and c = -2 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 3 c² + c Note: 2 a² means 2 x a², so 2 x 4 =
Challenge: Can you find the Champions League top goal scorer 2014/2015 ? Neymar 3 u + 3 , u= 2 Goals: Messi 5 b - 5 , b= 3 Goals: Suarez Tevez 3 t - 3 , t= 3 2 m - 3 , m= 5 Goals: Gerrard 3 x - 28 , x= 10 Goals: Brahimi 2 v - 1 , v= 3 Goals: Ronaldo 4 s + 2 , s= 2 Goals: Hazard Benzima 5 a - 13 , a= 4 Goals: Martinez 2 c² + 1 , c= -1 e² + 3 , e= -2 Goals:
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)
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