Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra.

Slides:

Advertisements

Similar presentations

Factorising Cubics (Example 1) Factorise x 3 + 7x 2 + 7x  15 given that (x + 3) is a factor x 3 + 7x 2 + 7x  15 = (x + 3)(x 2 + ax  5) x 3 + 7x 2 +

Advertisements

We Are Learning To We Are Learning To

Brackets Factors and Equations

Solving a quadratic by factorisation 6x 2 + 7x – 3 = 0 ac = -18 b = 7 Factors are: , , +2 -9, , , Correct pair adding to.

Brackets An introduction to using brackets in algebra.

Starter: Multiplication grid x

Difference between Expression and Equation?. L.O. To be able to solve Quadratic Equations There are several ways to solve a quadratic equation Factorising.

Starter Multiply the following 1. 2a x 3b 2. 3s x 4t 3. 4d x 6d 4. 3a x a x b 5. 5y x 4z x y.

Algebra Factorising into single brackets Grade 2.

AS 1.1 Starters Focusing on ‘Achieve’ Starter A Starter B Starter C Starter D End Starter E Starter F Starter G Starter H.

Starter Multiply the following 2a x 3b 3s x 4t 4d x 6d 3a x a x b

All pupils are confident with function notation including:

Graphing Inequalities

Transforming Trigonometric Graphs

All pupils can substitute into functions written in function notation

All pupils can sketch a variety of graphs

Further Recap of Topics

Optimisation L.O. All pupils understand how quadratics can model real life situations All pupils recognize how parts of the graph relate to the real life.

Simultaneous Equations

all pupils can find the area of a triangle using trigonometry

Substitution L.O. All pupils can complete simple substitutions

Exploring Quadratic Expressions

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

Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities.

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

Composite Functions L.O.

Chain Rule L.O. All pupils can solve basic differentiation questions

All pupils can work through Examination Style Questions

Unit 23 Algebraic Manipulation

Similar Shapes L.O. All pupils can draw similar shapes

All pupils know what polynomials are

Product Rule L.O. All pupils can solve basic differentiation questions

Functions L.O. All pupils can describe the different types of functions All pupils can find the domain and range of basic functions Some pupils can find.

Exam Style Questions Practice

Practicing Similarity and Congruence

All pupils can use circle theorems to solve a variety of questions

How does substitution help link equations and their graphs?

Algebra Introduction - BIDMAS

All pupils can recall information on real life graphs

Different Types of Functions

Logarithms – Changing the Base

Logos L.O. All pupils can recall the different types of transformations All pupils can describe the different types of transformations Some pupils start.

All pupils know what polynomials are

All pupils can write exponentials as logarithms

Exponentials and Logarithms

Algebra – Brackets 2 L.O. All pupils can expand linear expressions

More Linear Equations L.O.

Pythagoras L.O. All pupils can find the area of a triangle

Further Investigating Quadratics

The Quadratic Formula L.O.

Rates of Change L.O. All pupils can recall information on real life graphs to both draw and visualise them All pupils can apply their knowledge of on a.

Sequences in the Real World

Revision of the year so far

Indices Practice L.O. All pupils are confident with their homework

Quadratics L.O. All pupils can recall information about quadratic functions All pupils can answer a variety of questions about quadratic functions.

Factor Trees and Surds L.O.

Function Notation L.O. All pupils can understand function notation

Gradients L.O. All pupils can find the gradient of linear graphs

Other ways of Describing Sequences

All pupils can recall and work with a variety of functions

All pupils can confidently work with unknowns

Points of Intersection using Algebra

What can your remember about triangles?

All pupils can work with arithmetic sequences

The Quadratic Formula and Factorising

All pupils can manipulate geometric sequences

More Functions L.O. All pupils can recall the different types of functions All pupils can find the domain and range of basic functions Some pupils can.

Difference between Expression and Equation?

Presentation transcript:

Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra

It mustn’t have brackets Starter: understand the importance of brackets In pairs, write a question, with at least five terms, on your wipeboard. Important: It mustn’t have brackets

You must show your working. Starter: understand the importance of brackets On coloured paper, in your pairs, show all the different solutions your question could have depending on where you put brackets in it. You must show your working.

Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra

Main: What does this mean? 3(4+7) brackets in situations with algebra What does this mean? 3(4+7)

Main: What does this mean? 3(4x+7) brackets in situations with algebra What does this mean? 3(4x+7)

Expand the questions on the board Main: brackets in situations with algebra Expand the questions on the board Ext. Factorising

Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra

Plenary:

Algebra - Brackets L.O. All pupils understand the importance of brackets Most pupils can use brackets in situations with algebra