Parabolas and other graphs

Essential Mathematics Year 10

Lesson notes

Chapters

Introduction

The learning for the lesson

Recap

Footie or soccer?

Letters are really just in the dinner queue for numbers

Example 1

BIDMAS or BODMAS?

Examples of how to use BIDMAS

Formula, Substitute and Solve (FSSSSSSS)

Example 2

Example 3

A slightly harder example

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Description

We have spent a lot of time looking at how to use algebra to factorise and solve quadratics. We have completed the square, we have used the quadratic equation and we have used the T-Method. This has led to this series of videos where we now use all the information gained to sketch the graphs.
We need to make sure that, for all quadratics, we have access to tools to find the x-intercepts, y-intercepts and the turning point. Once we have these four pieces of information we can confidently sketch any quadratic equation.
In this video we recap how to use the T-Method to factorise. There are a number of examples in how to solve the quadratic and find the important points.
The video is a little long, but it covers all the things you need to know.

Video tags

quadratic equation
algebra 2
sketching quadratics
factorising quadratics by grouping
factorising quadratics
factorising maths
factorising algebraic expressions
factorising quadratic expressions
Finding intecepts
solving equations
finding intercepts from an equation
finding intercepts and testing for symmetry
finding intercepts of a quadratic function