Factorising Expressions Lesson Objective: Can you factorise an expression correctly?

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Presentation transcript:

Factorising Expressions Lesson Objective: Can you factorise an expression correctly?

A* GradeA/B GradeB/C GradeC/D Grade Factorise complex quadratics Factorise two squared numbers Factorise simple quadratics Factorise simple equations Objectives How far can you go?

Have a go at factorising these: QuestionsExamples

Factorising Two Squared Numbers

Identify the Squared Numbers

Factorising Two Squared Numbers

Factorising Quadratic Expressions Lesson Objective: Can you factorise a quadratic expression? Extension

x²?x +8 x x Add to +6x Pairs of numbers that multiply to make “+8”: +1 and and and and -4 Which pair adds to make “+6”?

x²?x +16 x x Add to -10x Pairs of numbers that multiply to make “+16”: +1 and and and and and and -4 Which pair adds to make “-10”?

x²?x -8 x x Add to -2x Pairs of numbers that multiply to make “-8”: +1 and and and and +4 Which pair adds to make “-2”?

x²?x -8 x 3x Add to +16x Pairs of numbers that multiply to make “+5”: +1 and and -5 Which pair, when you multiply one by 3 then add the other, adds to make “+16”? Careful which way round they go!

Solving Quadratic Equations by Factorising Lesson Objective: Can you solve a quadratic equation by factorising? Extension

Solving Quadratics by Factorising Example 1Example 2

Solve by factorising:

Simplifying Algebraic Fractions Lesson Objective: Can you simplify algebraic fractions by factorising numerators and denominators? Extension

Can you simplify this fraction?

What about this fraction? Cancel any brackets that are exactly the same

Have a go at simplifying these:

Completing The Square Lesson Objective: Can you complete the square? Extension

The Quadratic Won’t Factorise Nicely! Half the 8 Square the 4 From the question

Try another one… Half the -10 Square the 5 From the question

Complete the square for these:

The Quadratic Formula Lesson Objective: Can you solve a quadratic by using the quadratic formula? Extension

The Quadratic Formula:

Example 1: This is the give away that you have to use the formula!

Example 2: This is the give away that you have to use the formula!

Try solve these to 2d.p.:

Quadratic Simultaneous Equations Lesson Objective: Can you solve simultaneous equations involving a quadratic? Extension

Make sure they equal zero! It must equal zero!

Try this one: