## Description

## Locus of a point is a completely interactive lesson designed for GCSE learners.

### In this lesson, learners will learn how to find the locus of points e.g.

### the locus of points equidistant to two given points

### Construct the mid-point and perpendicular bisector of a line segment;

### the perpendicular from a point on a line;

### the bisector of an angle;

### a region bounded by a circle and an intersecting line;

### a path equidistant from 2 points or 2 line segments, etc.

### Teachers can use the lesson for whole-class teaching. Learners can also use it at home for practice and revisions.

Lots of drag and drop activities as well as interactive worksheets with instant feedback.

### A printable 3-page worksheet is also included in this pack.

### Other topics in this category include

### systematic listing strategies

### estimating powers and roots of any given positive number

### indices

### surds

### fractional indices

### standard form

### recurring decimals

### ratio and proportions

### rounding and estimations

### simplify and manipulate algebraic expressions

### algebraic fractions

### factorising quadratic expressions of the form x

^{2}+ bx + c### the difference of 2 squares

### factorising quadratic expressions of the form ax

^{2}+ bx + c### simplifying expressions involving sums, products and powers

### laws of indices

### parallel and perpendicular lines

### the equation of the line segment

### quadratic equations

### trial and improvement

### translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or 2

### simultaneous equations

### linear inequalities

### quadratic inequalities

### linear sequences

### quadratic sequences

### Ratio, proportion and rates of change

### compound measures

### the gradient of a straight line

### direct and inverse proportion

### Geometry and measures

### transformations

### circle definitions and properties

### circle theorems

### plans and elevations

### arc lengths sector area

### surface areas and volumes

### congruence and similarity

### Pythagoras’ Theorem

### trigonometry

### sine rule and cosine rule

### translations as 2D vectors

### addition and subtraction of vectors

### multiplication of vectors by a scalar

### diagrammatic and column representations of vectors

### Probability

### probabilities of mutually exclusive events

### probability of independent and dependent events

### conditional probabilities with two-way tables

### conditional probabilities with tree diagrams

### conditional probabilities with Venn diagrams

### Statistics

### tables and line graphs

### histograms

### cumulative frequency graphs

### box and whisker plots

### measures of central tendency

### quartiles and inter-quartile range

### scatter graphs