# 1819 C2X §11.5

Which exercises should we discuss on the board?
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Slide 1: Mind map
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This lesson contains 13 slides, with interactive quiz and text slides.

Lesson duration is: 50 min

## Items in this lesson

Which exercises should we discuss on the board?

#### Slide 1 -Mind map

You know two methods of solving quadratic equations:
- Cards
- A x B = 0, then A = 0 or B = 0
When should you use each method?

#### Slide 2 -Slide

1. Can you use cards?
(You can use cards if the equation contains only 1 variable)

Yes? Solve using cards.
No? Go to step 2.

#### Slide 3 -Slide

Use the balance method (add/subtract the same amount, divide/multiply by the same number , take the square root on both sides of the equal sign, don't forget the second solution)

#### Slide 4 -Slide

2. Is one side of the equation equal to 0?

Yes? Go to step 3.
No? Reduce to zero

#### Slide 5 -Slide

Reduce to zero
Use the balance method (add/subtract the same term on both sides of the equal sign).

#### Slide 6 -Slide

3. Is the equation already in the form A x B = 0?

Yes? Go to step 4
No? Factorise the binomial or trinomial.

#### Slide 7 -Slide

Factorise binomial
Find the largest common factor and place in front of a set of single brackets, fill in the remaining factors inside the brackets.
(See §11.2)

#### Slide 8 -Slide

Factorise trinomial
Find two numbers that have the number in front of x as a sum and the single numbers as a product. Write as (x + ...)(x + ...).
(See §11.3)

#### Slide 9 -Slide

4. Use the rule: if A x B = 0, then A = 0 or B =0

A x B = 0

A x B = 0

#### Slide 12 -Slide

HW Friday
Make and correct §11.5