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

Solving quadratic equations

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

Solving quadratic equations

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

Solving quadratic equations with cards

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

Solving quadratic equations

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

Solving quadratic equations

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 + ...).