Enrichment in Mathematics – Year 8
Unit as per MTP
(Autumn)
Number 1
+/-/×/÷ integers
HCF, LCM, powers
Algebra 1
Sequences, functions &
graphs
SSM 1
Geometrical reasoning
Lines, angles & shapes
Construction
Handling Data 1
Probability
Number 2
Fractions, decimals & %
Calculations
Algebra 2
Equations and formulae
SSM 2
Measures &
mensuration
Ref to
Supplement
of Examples
in Framework
Core Objectives
Activity
Notes
Pg 48 – 59
+/-/x/÷ integers
Multiples, factors, primes.
Prime number
decomposition.
Squares and roots
Generate and describe
integer sequences.
Number Pyramid
A starter/plenary that draws
upon pupils knowledge of
number facts to spot
patterns.
Pg 144 – 157
Generate & describe integer
sequences
Term to term , position to
term
nth term
Fibonacci Rabbits
Investigation to discover the
Fibonacci sequence in
context.
Know Your Rights
Prove that angle bisectors in
a triangle do cannot meet at
90°, uses angles properties
of triangles/parallel lines. And
formal proof.
Lines and Squares
Count the total number of
squares in a pattern; requires
classifying and systematic
recording of results.
Pg 276 – 283
Vocab of probability
Sum of probs of all mutually
exclusive events = 1
Estimate prob from
experimental data
True, false and iffy?
A paired or group activity
where student’s
misconceptions about
probability are challenge and
they must justify their
opinions.
Pg 60 – 77
Pg 82 – 85
Pg 88 – 101
Recurring decimals
+/- fractions, fractions of
quantities
Equivalence of fractions,
decimals and %
% increase & decrease
Catwoman’s Cats
A word problem based on
fractions that could be used
as a starter/plenary.
Pg 112 – 119
Pg 138 – 143
Simplify/ transform linear
expressions
Multiply single term over a
bracket
Chain Reaction
An ordering cards puzzle for
rearranging equations (two
levels of difficulty)
Pg 228 – 231
Pg 234 – 241
Use units of measurement
Formulae of triangles,
parallelogram
Formulae for volume & SA
of cuboids
Triangle Sections
Finding missing length in
enlargement problem through
mathematical similarity and
triangle construction.
Pg 178 – 189
Pg 220 – 223
Worcestershire Numeracy Team
Alternate & corresponding
angles
Sum of triangle angles =
180°, sum of quadrilateral
angles = 360°
Construction – mid-point,
bisector, perpendicular
Enrichment Activities
Enrichment in Mathematics – Year 8
Unit as per MTP
(Spring)
Algebra 3
Sequences, functions,
graphs
Number 3
Place value
Calculations
Calculator methods
SSM 3
Geometrical reasoning
Transformations
Mensuration
Ratio & proportion
Algebra 4
Equations and formulae
Handling Data 2
Handling data project
Ref to
Supplement
of Examples
in Framework
Core Objectives
Pg 160 – 177
Express simple functions
Plot graphs of linear
functions
Real-life graphs
Pg 36 – 47
Pg 92 – 107
Pg 110 – 111
×/÷ of integers & decimals
Calculation estimates &
approximations
Entering & interpretation of
calc displays
Pg 190 – 191
Pg 202 – 215
Pg 78 – 81
Congruence
Translation/rotation/
reflection
Enlargements – implications
Use proportional reasoning
to solve a problem, use
ratio in a range of contexts.
Pg 112 – 113
Pg 122 – 125
Pg 138 – 143
Construct & solve linear
equations
Substitute integers into
simple formulae
Pg 248 – 273
Handling data project:
Construct pie charts, bar
charts, frequency diagrams
(discrete data) & simple
scatter graphs
Worcestershire Numeracy Team
Activity
Notes
Temperature
A good plenary activity to
extend skills on solving
simultaneous equations.
Ink Blots
Plenary/homework task that
provides opportunity for
pupils to apply their
knowledge of
multiplication/division facts.
Also allows practice of
calculator skills.
Arrowheads
Geogebra file
Finding missing length in
enlargement problem through
mathematical similarity and
triangle construction.
Similar Cylinders
Finding missing length in
enlargement problem through
mathematical similarity and
triangle construction.
Diagonal Sums
An open-ended investigation
that can last a whole lesson
or be extended. Pupils can
pose their own questions and
follow their own lines of
enquiry. Pupils will solve
problems, represent
problems using symbols,
words and diagrams and use
algebra to generalise.
Estimation task
An investigation from a given
hypothesis based around
ability at estimation.
Students can collect, sample,
organise, represent and
interpret their own data.
Enrichment Activities
Enrichment in Mathematics – Year 8
Unit as per MTP
(Summer)
Number 4
Calculations
Measures
Algebra 5
Equations, & formulae
Sequences, functions &
graphs
SSM 4
Geometrical reasoning
Lines, angles & shapes
Transformations
Construction & loci
Mensuration
Handling Data 3
Handling data project
Probability
Ref to
Supplement
of Examples
in Framework
Core Objectives
Pg 82 – 87
Pg 92 – 107
Pg 110 – 111
Pg 228 – 231
+/- of fractions & integers,
×/÷ of integers
Order of operations
Estimates & approximations
Standard column ×/÷ of
integers & decimals
Pg 116 – 137
Pg 164 – 177
Transform linear
expressions
Construct & solve linear
equations
Plot graphs of linear
functions
Real line graphs
Pg 198 – 201
Pg 216 – 227
Pg 232 – 233
Pg 238 – 241
Know & use geometric
properties
Scale drawings, plans &
elevations
Use ruler & compass to
construct triangles (SSS)
Simple loci
Volume and SA of cuboids
Pg 248 – 275
Pg 284 – 285
Handling data project:
Construct bar charts,
frequency diagrams
(continuous data) & simple
line graphs (time series)
Estimation from
experimental
Compare theoretical &
experimental
Worcestershire Numeracy Team
Activity
Notes
All the Four’s
Using all operations, roots
and squares to make totals.
Can be made into a short or
longer activity!
Age-Old Problems
A plenary activity to reinforce
skills on solving problems
involving simultaneous
equations. Pupils may try trial
and error to start with but
then move to an algebraic
method - useful discussion
point.
How Far??
Given information about the
distance between a
sequence of points, find
positions.
What's wrong?
Possible or
impossible?
A selection of misleading
statistics and graphs for
students to identify problems
and suggest methods to
improve.
An activity where statements
are presented to students
and they have to decide
whether they can find cases
to verify the statements.
Enrichment Activities