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 will 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.

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.

English
language

Content

Introduction

Introduction to Coordinate Geometry

Points and Lines

Gradient of a straight line
Gradient of a straight line given two points
Midpoint of a line joining two points
Length of a line joining two points
Equation of a straight line
Parallel lines
Perpendicular lines
Worked Example – Parallel lines, Midpoint.
Worked Example – Perpendicular lines, Midpoint, Area
Worked Example – Perpendicular Bisector A
Worked Example – Perpendicular Bisector B

Circles and Curves

Equation of a circle
Worked Example – Centre, radius, equation of a circle.
Expanded form of the equation of a circle
Worked Example – Centre, radius, equation of a circle (expanded form)
Intersection of a line and a curve/circle
Worked Example – Intersection of a line and a curve A

Ads Blocker Image Powered by Code Help Pro

Ads Blocker Detected!!!

We have detected that you are using extensions to block ads. Please support us by disabling these ads blocker.

Powered By
100% Free SEO Tools - Tool Kits PRO

Check Today's 30+ Free Courses on Telegram!

X