Locus of a point

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 x² + bx + c

• the difference of 2 squares

• factorising quadratic expressions of the form ax² + 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