Exploring Quadratic Expressions

Slides:



Advertisements
Similar presentations
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Advertisements

Linear, Exponential, and Quadratic Functions. Write an equation for the following sequences.
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.
13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.
9.4 – Solving Quadratic Equations By Completing The Square
E Maths Lecture Chapter 1: Solutions of Quadratic Equations.
6.5 – Solving Equations with Quadratic Techniques.
Quadratics Solving equations Using “Completing the Square”
Warm-up Find the missing term to make the following a perfect square trinomial. Why do you think this is called Complete the Square?
Do Now : Evaluate when x = 6, y = -2 and z = The Quadratic Formula and the Discriminant Objectives Students will be able to: 1)Solve quadratic.
Math I Cluster Quiz Data. Math I Unit 2 Represent & Solve Equations & Inequalities Graphically.
Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.
Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.
Quadratic Factorising If you can long multiply you can factorise!
Rewrite the numbers so they have the same bases i.e. 8 2 = (2 3 ) 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.
SOLVING QUADRATIC EQUATIONS BY FACTORISATION. This very important result is used for solving quadratic equations. If a × b = 0thena = 0orb = 0.
Which of these is 52 written as a product of its prime factors? a) 2 x 26b) 2 x 2 x 13 c) 4 x 13d) 1 x 52.
The Quadratic Formula..
Quadratic Formula Solving for X Solving for quadratic equations.
Solving Quadratic Equations by the Complete the Square Method
Quadratic Equations.
Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.
Linear Equations Quadratic Equations Proportion Simultaneous Equations
Graphing Inequalities
Quadratic Functions(2)
All pupils can sketch a variety of graphs
Factoring a Quadratic Expression
Simultaneous Equations
Quadratic Equations L.O.
Substitution L.O. All pupils can complete simple substitutions
JEOPARDY Algebra 1 EOC Review.
The Quadratic Formula L.O.
Roots of Quadratics L.O. All pupils understand what roots of quadratics are graphically and algebraically All pupils are confident with finding the roots.
Exploring Quadratic Expressions
Objective - To solve quadratic equations by completing the square.
Quotient Rule L.O. All pupils can solve basic differentiation questions All pupils can solve some problems requiring the Quotient Rule.
All pupils can read off the base trigonometric graphs
Solving simultaneous linear and quadratic equations
Absolute Value Equations Absolute Value Inequalities Factoring
Two Types of Factorising
All pupils know what polynomials are
Practicing Similarity and Congruence
How does substitution help link equations and their graphs?
Different Types of Functions
Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra.
Algebra – Brackets 2 L.O. All pupils can expand linear expressions
More Linear Equations L.O.
The Quadratic Formula L.O.
The Quadratic Formula..
Composite and Inverse Functions
A, b and c can be any numbers
Quadratics L.O. All pupils can recall information about quadratic functions All pupils can answer a variety of questions about quadratic functions.
Equations, Identities and Formulae
Function Notation L.O. All pupils can understand function notation
Other ways of Describing Sequences
All pupils can recall and work with a variety of functions
Quadratic Equations: Solving by factorising
Points of Intersection using Algebra
All pupils can work with arithmetic sequences
The Quadratic Formula and Factorising
Solving a System of Linear Equations
The Quadratic Formula..
A, b and c can be any numbers
What’s the same and what’s different?
quadratic formula. If ax2 + bx + c = 0 then
Difference between Expression and Equation?
A, b and c can be any numbers
Quadratic Equations: Solve when factorised
Presentation transcript:

Exploring Quadratic Expressions All pupils can recognise quadratic expressions and equations All pupils can factorise quadratics Most pupils can solve simple equations

recognise quadratic expressions and equations Starter: recognise quadratic expressions and equations In the most imaginative way possible, write a quadratic a) expression b) equation on your wipeboard

Exploring Quadratic Expressions All pupils can recognise quadratic expressions and equations All pupils can factorise quadratics Most pupils can solve simple equations

Main 1: factorise quadratics Firstly, can you factorise linear equations? What’s the difference between factorising quadratic and linear relationships?

Factorise the linear and quadratic expressions. Main 1: Factorise the linear and quadratic expressions. factorise quadratics

Exploring Quadratic Expressions All pupils can recognise quadratic expressions and equations All pupils can factorise quadratics Most pupils can solve simple equations

When do these expressions =0? Main 2: solve simple equations When do these expressions =0? Do a) as an example

When do these expressions =0? Main 2: When do these expressions =0? solve simple equations

Exploring Quadratic Expressions All pupils can recognise quadratic expressions and equations All pupils can factorise quadratics Most pupils can solve simple equations

Plenary: Extension: When functions =0, what is it showing graphically? Someone to describe on the board….

Exploring Quadratic Expressions All pupils can recognise quadratic expressions and equations All pupils can factorise quadratics Most pupils can solve simple equations

What Went Well? Even Better If?

Exploring Quadratic Expressions All pupils can recognise quadratic expressions and equations All pupils can factorise quadratics Most pupils can solve simple equations