Master Coordinate Geometry For A-Level Maths

An amazing topic-centric course for you to pass your AS/A Level Pure Mathematics exams.

What you'll learn

Understand the foundational concepts of coordinate geometry

How to calculate the gradient of a straight line

How to find the midpoint and length of a line joining two points

Handling perpendicular bisector problems

Solve problems involving line and curve intersection

Express the equation of a circle in different forms

Find the centre and radius of a circle and solve related problems.

Requirements

Good knowledge of GCSE maths or equivalent

Quadratics (factorization, completing the square etc)

Description

In this course you will learn how to find the equation of a straight line given sufficient information, interpret and use any of the forms y = mx + c, understand the equation that represents the circle with centre (a, b) and radius r, use algebraic methods to solve problems involving lines and circles, understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations. Concepts taught also Including calculations of distances, gradients, midpoints, points of intersection and use of the relationship between the gradients of parallel and perpendicular lines. You will learn how to use elementary geometrical properties of circles, e.g. tangent perpendicular to radius, angle in a semicircle, symmetry. You will learn to determine the set of values of k for which the line y = x + k intersects, touches or does not meet a quadratic curve.You will access concisely explained videos, with a concept upon concept approach to help you the each topic. By enrolling into this course, you get to access all the interactive videos covering all the examinable concepts in your syllabus. I have gained considerable experience teaching A Level Maths and I pour our my wealth of knowledge in this course. So I hope you will learn a lot from this course.

Overview

Section 1: Introduction

Lecture 1 Introduction to Coordinate Geometry

Section 2: Points and Lines

Lecture 2 Gradient of a straight line

Lecture 3 Gradient of a straight line given two points

Lecture 4 Midpoint of a line joining two points

Lecture 5 Length of a line joining two points

Lecture 6 Equation of a straight line

Lecture 7 Parallel lines

Lecture 8 Perpendicular lines

Lecture 9 Worked Example - Parallel lines, Midpoint.

Lecture 10 Worked Example - Perpendicular lines, Midpoint, Area

Lecture 11 Worked Example - Perpendicular Bisector A

Lecture 12 Worked Example - Perpendicular Bisector B

Section 3: Circles and Curves

Lecture 13 Equation of a circle

Lecture 14 Worked Example - Centre, radius, equation of a circle.

Lecture 15 Expanded form of the equation of a circle

Lecture 16 Worked Example - Centre, radius, equation of a circle (expanded form)

Lecture 17 Intersection of a line and a curve/circle

Lecture 18 Worked Example - Intersection of a line and a curve A

AS/ A-Level students,Anybody who is willing to learn Maths.