Factorising quadratic expressions

Slides:



Advertisements
Similar presentations
School/Centre: Reflecting on the effectiveness of Self-Evaluation Resource The levels on the board are as in How Good Is Our school? Above the board, type.
Advertisements

School/Centre: Reflecting on the effectiveness of Self-Evaluation Resource The levels on the board are as in How Good Is Our school? Above the board, type.
SOLVING QUADRATICS General Form: Where a, b and c are constants.
Factorising Quadratics Wendy’s Way
Solving quadratic equations Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.
Using the factoring method, what are the solutions of y = x 2 + 5x + 6.
We Are Learning To We Are Learning To
Quadratic Functions(3) What is a perfect square. What is a perfect square. How to make and complete the square. How to make and complete the square. Sketching.
Whiteboardmaths.com © 2008 All rights reserved
Page 224 Ex 2A Questions 1 to 7, 10, 12 & 13 Page 224 Ex 2A Questions 1 to 7, 10, 12 & 13.
Electronic Notetaking Take your notes directly into the slide. Each slide reflects a different point or idea. You can copy and paste, or put the ideas.
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.
Quadratics Solving Quadratic Equations. Solving by Factorising.
QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.
Quadratic Factorising If you can long multiply you can factorise!
Warm-Up: Solve each equation. Essential Question  How do I use the quadratic formula?
© Nuffield Foundation 2012 Free-Standing Mathematics Activity Factor cards: quadratic expressions.
Solving a quadratic by factorisation 6x 2 + 7x – 3 = 0 ac = -18 b = 7 Factors are: , , +2 -9, , , Correct pair adding to.
Rewrite the numbers so they have the same bases i.e. 8 2 = (2 3 ) 2.
Page | 1 Practice Test on Topic 18 Complex Numbers Test on Topic 18 Complex Numbers 1.Express the following as complex numbers a + bi (a) (b) 2 
Difference between Expression and Equation?. L.O. To be able to solve Quadratic Equations There are several ways to solve a quadratic equation Factorising.
Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.
Quadratic equations can be solved using a variety of different methods. All these methods will be explained in great detail on the following slides. By.
The Quadratic Formula..
How do I solve quadratic equations using Quadratic Formula?
The Quadratic Formula..
2 6 Counting Rocks 1 By Print a mini-book by printing handouts/6 per page. Then cut and staple to form book
Quadratic Formula Solving for X Solving for quadratic equations.
Integration Stretch Answer: k=3 for all problems!
Prime Time Investigation 4 Review
continued on next slide
Quadratic Equations.
                                                                                                                                                                                                                                                
continued on next slide
continued on next slide
Inequalities Thursday, 29 November 2018.
Quadratic Functions(2)
Quadratics Multiply out (x+16) (x-16) (x+12) (x-12) = ?
For your Information: Slide 2 is the title card. You can use it to print on the back side of each card. Helps to give the cards a professional look. Slides.
Next week is revision week
Exploring Quadratic Expressions
Exploring Quadratic Expressions
Year 7 - Expressions and Sequences
Two Types of Factorising
Why is this a magic square?
Welcome to Jeopardy!.
АВЛИГАТАЙ ТЭМЦЭХ ҮНДЭСНИЙ ХӨТӨЛБӨР /танилцуулга/
Factorising: Quadratics with Single Bracket
6. Factorise Expressions
The Quadratic Formula..
Notes Over Using Radicals
Equations, Identities and Formulae
Quadratic Equations: Solving by factorising
Literacy Research Memory Skill Practice Stretch
The Quadratic Formula..
Pearlson/Saunders reading <Your Name> - <date>
continued on next slide
I have… I have… Who has 3:40? Who has 12:20? I have… I have…
Essential question or topic
For More Details:
Double Brackets – Expanding – Without Coefficients – Card Match
Quadratic Factorisation – Without Coefficients – Card Match
Quadratic Factorisation – Mixed – Card Match
Recap from year 8: How many different factorised forms can you find?
Quadratic Equations – Mixed – Card Match
Discuss: What are the 4 different ways we can factorise an expression?
continued on next slide
Presentation transcript:

Factorising quadratic expressions www.mathssandpit.co.uk/blog

Factorise these quadratic expressions Hint - attention to detail is critical x2 + 6x + 5 2x2 - 9x - 5 x2 + 4x - 5 2x2 + 11x + 5 2x2 + 9x - 5 2x2 - 3x - 5 2x2 + 3x - 5 2x2 -11x + 5 2x2 - 7x + 5 2x2 + 7x + 5 x2 - 6x + 5 x2 - 4x - 5

Activity cards x2 + 6x + 5 2x2 - 9x - 5 2x2 -11x + 5 2x2 + 11x + 5 Cut out the cards and investigate the relationship between the factors x2 + 6x + 5 2x2 - 9x - 5 2x2 -11x + 5 2x2 + 11x + 5 2x2 - 3x - 5 2x2 + 3x - 5 2x2 + 7x + 5 2x2 - 7x + 5 2x2 + 9x - 5 x2 + 4x - 5 x2 - 4x - 5 x2 - 6x + 5 You may wish to print the slide 1 per page and cut out the cards

Hint cards Use these cards to help factorise the quadratic expressions These are the factors, which may help students who find this topic challenging

Attention to detail is essential for success Solution (x + 5) (x - 5) (2x + 5) (2x - 5) (x + 1) 2x2 - 3x - 5 x2 + 6x + 5 x2 - 4x - 5 2x2 + 7x + 5 (x - 1) x2 + 4x - 5 x2 - 6x + 5 2x2 + 3x - 5 2x2 - 7x + 5 Attention to detail is essential for success (2x + 1) 2x2 + 11x + 5 2x2 - 9x - 5 (2x - 1) 2x2 + 9x - 5 2x2 -11x + 5