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
ratio and proportions
rounding and estimations
simplify and manipulate algebraic expressions
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
trial and improvement
translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or 2
Ratio, proportion and rates of change
the gradient of a straight line
direct and inverse proportion
Geometry and measures
circle definitions and properties
plans and elevations
surface areas and volumes
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
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
tables and line graphs
measures of central tendency
quartiles and inter-quartile range