ALGEBRA MODELLING ACTIVITY ONE.

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Presentation transcript:

ALGEBRA MODELLING ACTIVITY ONE

y = number of counters in a container

The language of algebra y pronumeral or variable We can use any letter of the alphabet for a pronumeral or variable. term 4y Coefficient is 4 y + 1 Expression with 2 terms. Constant term is 1 y + 1 = 3 equation

y + y + y + y = 4y 4 lots of y 4 times y 4y 4  y y  4 y + y + y + y short notation long notation y + y + y + y = 4y

3(y + 2) = 3y + 6 3 lots of (y + 2) 3  (y + 2) y + 2 + 2y + 4 long notation short notation 3(y + 2) = 3y + 6

2y + 3 + 2y + 3 + 2y + 3 + 2y + 3 4(2y + 3) = 8y + 12

constant variable 2y + 3 What does the coefficient of y represent? What does the constant represent?

variable constant y = 15 y = 15 y + 4 = 15 + 4 = 19 3y = 315 = 45 = 15 y + 4 = 15 + 4 = 19 3y = 315 = 45 3 + y = 3 + 15 = 18 variable constant

Find the value of: 3(2x + 4) when x = 5

The Distributive Law Expand the following: 2(3a  3) 4(5x + 7)  2x 7x (2x + 3y) + 2x (x  4y)

Complete Activity Sheet One

Question 1 y 1 5 3 4 7 2 6 9 8 11 12 10 13 15 18 14 17 21 16 19 24 27 20 23

Question 2

Question 3 y = 3y = 6y = y + 3 = 2y + 3 = 2(y + 3) = 2(3y)= 2y + 3 =

Question 4 x + x x + x + 4 y + y + 3 4 + y + 1 y + 2 + y + 1 + y

Question 5 Long notation Short notation x + x + x x + x + x + 2 y + y + y + 2 2 + y + 1 y + 2 + y + 1 1 + x + x + 2 + x y + 2 + y + 2 + y + 2 x + 1 + x + 1 + x + 1 + x + 1