Algebra revision pt.4

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

Good morning!

Schedule: 

• Learning goals 
• Trashketball
• (tarsia puzzle)

Learning goals 

At the end of this lesson I can:

- Collaborate to find the correct answer 

- Respect other people's answers

- Make a decision as a group

- Shoot a piece of paper in a thrash bin!

Trashket ball 

I will divide you into duo's. 

A question will be shown on the board which you will need to solve. 

When the timer is up, you will show your whiteboard (with working out). 

If your answer is correct, you will get the chance to throw the ball in the trashcan. 

Hitting from nearby gives you 1 point 

Hitting from the middle gives you 2 points

Hitting from far away gives you 3 points. 

The top 3 duo's will get a chocolate egg !

Shoot you shot! 

MP2F

1	2	3	4	5	6	7	8	9
Ryan & matteo	Angele & Rachit	David & Sebastian	Fu-hong & Lara	Luna & Noa	Malene & Sunaina	Ibel & Jievi	Kelvin & Pranjay	Siyona & Rogan & Fabi

Shoot you shot! 

MP2A

1	2	3	4	5	6	7	8	9
Soha & Kushi & Lila	Jaimil & Abyann	Aarna & Joanna	Jyothika & Shruti	Sriram & Shenoy	Daksh & Laythan	Pranav & Ahmed	Rrona & Abeer	Akshay & Tanay

Substitution

If a = -2, b = 5, c = -6, d = 10 and e = 9

Find the value of each expression:

a + 3c - e

Substitution

If a = -2, b = 5, c = -6, d = 10 and e = 9

Find the value of each expression:

a + 3c - e = (-2) + 3(-6) - 9 

= -2 + -18 - 9 

= -2 - 18 - 9 

= -29

Collecting like terms

Simplify the following: 

2x + 4x2 - y - x + 3x2

Collecting like terms

Simplify the following: 

2x + 4x2 - y - x + 3x2 =

2x - x + 4x2+3x2 - y = 

x + 7x2 - y

 

1-step equation

Solve for x: 

a) x + 7 = 14

b)                

You must have both answers correct to shoot the ball!!    

​4​​x​​=5

1-step equation

Solve for x: 

a) x + 7 = 14

x = 7

b)                

​4​​x​​=5

-7

-7

· 4

· 4

x = 20

2 and 3-step equations

Solve for x: 

-3(x + 4) = 18

2 and 3-step equations

Solve for x: 

-3(x + 4) = 18

x + 4 = -6

x = -10

÷ -3

÷ -3

- 4

- 4

2 and 3 step equations 

Solve for x: 

​3​​(x+15)​​=5

2 and 3 step equations 

Solve for x: 

​3​​(x+15)​​=5

x+15=15

x=0

· 4           · 4

-15        -15

Word problems

There were initially 16 ice cubes in the freezer. After placing 2 ice cubes each into x glasses, only 4 ice cubes remained in the freezer. Summarize this information as an equation and find the amount of glasses x. 

Just the solution for x is not enough!

Word problems

There were initially 6 ice cubes in the freezer. After placing 2 ice cubes each into x glasses, only 4 ice cubes remained in the freezer. Summarize this information as an equation and find the amount of glasses x. 

16 = 2x + 4

12 = 2x

6 = x

-4          -4

÷2    ÷2

Equations with variables on both sides 

Solve for t : 

2(5t+8) = 4(2t+4)

Equations with variables on both sides 

2(5t+8) = 4(2t+4)

(2⋅5t) + (2⋅8) = (4⋅2t) + (4⋅4)

10t + 16 = 8t + 16

2t + 16 = 16

 

2t = 0

t = 0

-8t         -8t

-16    -16

÷2  ÷2

Geometry problems

There is a green square with a red border. The green square has sides of length 5. The red border has a width of x. Write an expression for the perimeter of the border.

5

x

Geometry problems

There is a green square with a red border. The green square has sides of length 5. The red border has a width of x. Write an expression for the perimeter of the border.

5

x

x

x + 5 + x

perimeter: 

(2x + 5) + (2x + 5) + (2x + 5) + (2x + 5) 

Or 

4(2x+5)

Or 

8x + 20 

The winners are....

How do you feel about the assessment tomorrow?

😒🙁😐🙂😃

Tarsia puzzle time