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.


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