Download HIGHER Maths GCSE Unit 3 Revision List

HIGHER Maths GCSE Unit 3 Revision List
(Higher only topics highlighted)
Topic
Notes
Circles – name parts
of a circle;
Calculate area and
circumference
Calculate lengths of
arcs and areas of
sectors
Know and use Circle
Theorems
Angles – in a
triangle,
quadrilateral, on a
line, in polygons, on
parallel lines
Describe reflection
and rotation
symmetry in 2D
shapes
Constructions
(triangles; angle and
line bisectors) and
Loci
Quadrilaterals –
names, side,
diagonal and angle
properties
Perimeter and Area
– rectangle,
parallelogram,
triangle, trapezium,
circle
Maths GCSE Unit 3 H Revision List March 2012
Revision work
done
Topic
Notes
3D Shapes –
names, nets, plans,
elevations, faces,
edges, vertices
Volume – cuboids
and prisms
Cones, spheres,
frustums
TERRy – Translate,
Enlarge, Rotate,
Reflect
Use fractional and
negative scale
factors for
enlargements
Vectors – add and
subtract, multiply by
a scalar, find the
resultant of 2
vectors.
Solve geometrical
problems
Measures – metric
and Imperial,
conversions (e.g. 5
miles = 8km),
reading scales
Bearings and Scale
Drawing
Maths GCSE Unit 3 H Revision List March 2012
Revision work
done
Topic
Notes
Enlargement and
Similar Shapes (inc.
perimeter, area and
volume)
Understand and use
conditions for
congruent triangles
Pythagoras’ theorem
(right angled
triangles)
c2 = a2 + b2
Use Pythagoras in
3D problems
Use SOH CAH TOA
to find sides and
angles in right
angled triangles
Use Sine Rule and
Cosine Rule to find
sides and angles in
non right angled
triangles
Use ½ ab sinC to
calculate the area of
a triangle
Maths GCSE Unit 3 H Revision List March 2012
Revision work
done
Topic
Notes
Straight Line Graphs
– plot graphs from
equations
Use 3D co-ordinates
Quadratic Graphs –
plot curved graphs
from equations, find
points of intersection
between a curve
and a line
Choose the correct
curve and line to plot
to solve an equation
Recognise and
sketch graphs of:
Simple cubics,
y = 1/x, y = kx,
y = sin x, y = cos x
Transform graphs by
translating,
stretching and
reflecting
Trial and
Improvement – find
answers to 1 d.p.
Expand single
brackets and
simplify expressions
Multiply two
brackets together
Factorise
expressions by
taking out a
common factor
Maths GCSE Unit 3 H Revision List March 2012
Revision work
done
Topic
Notes
Substitute positive
and negative
numbers into a
formula
Write a formula to
represent a real life
situation
Form and solve
equations – with and
without brackets,
sometimes x on both
sides
Solve a pair of
simultaneous
equations
Solve quadratic
equations – by
factorisation and by
using the quadratic
formula
Maths GCSE Unit 3 H Revision List March 2012
Revision work
done
Topic
Notes
Round numbers to a
given number of
decimal places or
significant figures
Convert between
fractions, decimals
and percentages
Use equivalent
fractions to solve
problems
Find a fraction of a
quantity
Find a percentage of
a quantity
Increase or decrease
an amount by a
percentage
One no as % of
another
Calculate an increase
or decrease as a
percentage
Simplify a Ratio
Split a number into a
ratio
Solve ratio and
proportion problems
(use the unitary
method)
Solve problems
involving direct and
indirect proportion and
exponential growth
Maths GCSE Unit 3 H Revision List March 2012
Revision work
done