Chapter 6: Quadratic equations and inequalities - prior knowledge

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 3

Good morning!

When you come in the classroom: 

1. Grab a marker 
2. Write your name on the piece of paper 
3. Fold the paper into a name card

Schedule:

• Chapter 6 learning goals
• Prior knowledge learning goals
• 5 minute quiz
• Prior knowledge theory OR start on your homework 

Ch. 6: Quadratic equations and inequalities 

At the end of this chapter I can: 

- solve any quadratic equation 

- calculate the discriminant of a quadratic equation 

- find out how many solutions a quadratic equations has

- solve quadratic equations with different methods 

- explain what a interval is 

- find the solutions to a quadratic inequality from graphs 

Prior knowledge: Simplifying and factorising 

At the end of this lesson I can: 

- simplify by multiplying out of brackets 

- factorize quadratic equations by taking the common factor out of brackets 

- factorize with the product-sum-method 

Time to energize!

5 minute quiz

1. (x + 2)² = 

2. (3x - 7) · 5x + 6y = 

3. (x-4)(x+4) = 

4. 8x² + 2x = 

5. x² + 5x + 6 = 

Simplify:                                     Factorize:

Check your answers! 

1. (x+2)2 = (x+2)·(x+2) =          2. (3x - 7) · 5x + 6y =                 3. (x-4)(x+4) = 

x2 + x·2 + 2·x + 2·2 =                   3x · 5x - 7 · 5x + 6y =            x2+  x · 4 -  4 · x -4 · 4 = x2 + 2x + 2x + 4 =                         15x2 -35x + 6y                            x2 - 4x + 4x - 16 = 

x2 + 4x + 4                                                                                                x2 - 16

                                                                

Check your answers! 

4. 8x2 + 2x =                                          5. x2 + 5x + 6 = 

     x(8x + 2)                                                  (x+2)(x+3)

product	sum
1 · 6	7
2 · 3	5

Put the common factor outside

the brackets 

Use the product-sum-method

What to do? 

I want to revise the simplifying and factorising theory with ma'am

OR 

I want to work on the homework by myself. 

Take out your diaries 

Homework for tomorrow 11-3-2021: 

Havo                 p. 8-9 #1-7

Prior knowledge: Simplifying and factorising 

At the end of this lesson I can: 

- simplify by multiplying out of brackets 

- factorize quadratic equations by taking the common factor out of brackets 

- factorize with the product-sum-method 

See you tomorrow!