Enrichment in Mathematics – Year 7
Unit as per MTP
(Autumn)
Algebra 1
Sequences & functions
Formulae & identities
Number 1
Place value
Integers (=/-)
Calculations
Calculator methods
SSM 1
Mensuration
Ref to
Supplement
of Examples
in Framework
Pg 144 – 163
Pg 112 – 113
Core Objectives
Generate simple integer
sequences
Find terms given a rule
Functions from real-life
Use letter symbols
Pg 36 – 41
Pg 48 – 51
Pg 88 – 91
Pg 102 – 105
Pg 108 – 109
Decimal notation
Multiply and divide 10, 100,
1000, etc
Negative numbers
Increasing 10 x 10 recall
Approx to calculations
Pg 198 – 201
Pg 228 – 31
Pg 234 – 241
2D rep of 3D shapes
Units of measurement
Solve everyday problems
involving length & area.
Area & perimeter of
rectangles, surface area of
cuboids
Activity
Consecutive
numbers
ExtensionFinding the nth term of a
linear and quadratic
sequence.
Digit Sum
Finding sum of numbers and
sum of consecutive numbers
from 1 to 100. Use of
shortcuts encouraged.
Magic Square
Board Three
Split Cube
The Cafe
Number 2
Fractions, decimals & %
Calculations
Handling Data 1
Handling data
Probability
Pg 60 – 77
Pg 92 – 101
Pg 110 – 111
Pg 256 – 261
Pg 268 – 271
Pg 276 – 283
Worcestershire Numeracy Team
Fractions: parts of shapes,
simplifying, equivalent, +
and – simple fractions.
recognise the equivalence
of fractions, decimals & %
Extend mental methods,
check results, simplify
problems explain & justify
methods
Averages – MMM & range
of grouped data
Interpretations of tables, pie
charts, graphs, etc
Probability scale from 0-1 in
simple context.
Notes
A traditional task rearranging
the digits 1-9 into a 3 × 3 grid
so that every row, column
and diagonal add to the
same total.
Finding dimensions of boards
given relative measurements;
uses area, trial &
improvement, patternseeking and algebraic
generalisation.
Finding surface area of a
cube from given restrictions;
uses trial & improvement or
algebraic method.
Splitting a 4 by 4 grid of table
into sections; problemsolving.
What’s between ½
and ¾?
A starter/plenary activity
looking at equivalent
fractions.
Birthday Boy
Starter/plenary task using
equivalent fractions &
problem solving.
Sam’s CD’s
A real life problem solving
monetary task involving the 4
operations and finding
fractions of amount.
Where do I fit in?
A whole class, active task
looking at median, mode and
range in a real life context.
Enrichment Activities
Enrichment in Mathematics – Year 7
Algebra 2
Equations
Formulae & identities
SSM 2
Geometrical reasoning
Lines, angles & shapes
Coordinates
Mensuration
Pg 112 – 119
Pg 138 – 143
Pg 178 – 189
Pg 218 – 219
Pg 232 – 233
Worcestershire Numeracy Team
Use letter symbols
Algebraic operations
Collecting like terms
Use x single bracket
Substitution of positive
integers
Solve problems & represent
a problem mathematically
using symbols, words,
diagrams & tables
Conventions
Angles, parallel lines,
triangles & quadrilaterals
2D coordinates in all 4
quadrants
Solving algebraic
puzzles
A task encouraging pupils to
find a number of different
ways of finding a solution.
Leads to discussion about
efficiency.
What time is dinner?
A paired activity based on
solving a mystery style
problem. Substitution &
problem solving involved.
Right Angles
Geogebra file
Finding the maximum
possible number of rightangles in polygons; patternseeking.
Enrichment Activities
Enrichment in Mathematics – Year 7
Unit as per MTP
(Spring)
Handling Data 2
Handling data
Number &
measures 3
Place value
Calculations
Calculator methods
Ref to
Supplement
of Examples
in Framework
Pg 248 – 255
Pg 262 – 265
Pg 268 – 271
Use statistical methods to
solve problems
Collect, organise data using
a questionnaire, diagrams,
ICT, graphs, tables etc
Solve word problems
Pg 42 – 45
Pg 82 – 87
Pg 92 – 111
Pg 228 – 231
Round to nearest 10,100,…
4 rules to integers &
decimals
Order of operations
Mental methods, fractions,
decimals, %
×/÷ 3 digit by 2 digit
Check results, break down
a calculation
Pg 52 – 59
Pg 108 – 109
Pg 148 - 167
Multiples & factors
Primes, ∆ numbers,
squares
Sequences
Simple linear graphs
Pg 184 – 189
Pg 198 – 201
Pg 220 – 223
Identify angle, side and
symmetry properties of
triangles & quadrilaterals
2D representation of 3D
shapes
Construction (SAS, ASA ,…
Pg 70 – 81
Pg 110 – 111
Recognise equivalence of
fractions, decimals & %
Compare simple proportion
Relationship between ratio
and proportion
Divide a quantity into 2
parts in a given ratio
Check results
Algebra 3
Integers, powers &
roots
Calculator methods
Sequences, functions &
graphs
SSM 3
Geometrical reasoning
Lines, angles & shapes
Construction
Number 4
Fractions, decimals & %
Ratio & proportion
Calculations
Algebra 4
Equations, formulae &
identities
Core Objectives
Pg 112 – 125
Worcestershire Numeracy Team
Use letter symbols
Algebraic operations
Collecting like terms
Simplify linear algebraic
expressions
Construct and solve simple
linear equations
Activity
Notes
Recycling
A classroom task where
students have to apply their
knowledge of statistical
methods and methods of
calculation to look at profit
made by recycling aluminium
cans.
Digit Multiplication
Starter /plenary task that
provides opportunity for
pupils to apply their
knowledge of
multiplication/division facts.
Always, sometimes,
never true
A different take on an always
sometimes never task where
pupils are asked to go on and
justify their generalisations
using proof. An ideal
opportunity for paired/group
work and discussion.
Read my mind
Practical task that tests
pupils’ spatial awareness as
well as their ability to
translate 3D to 2D. Can also
be related to plans &
elevations.
Flour Power
Short task using percentage
increase and decreases.
Asks pupils to question the
validity of their answers.
What’s the Size?
Ratio and proportion in a
shape, space & measures
context.
Bad Dog
An introduction to formal
algebra. A word problem that
could be used as a starter or
plenary.
Enrichment Activities
Enrichment in Mathematics – Year 7
Unit as per MTP
(Summer)
SSM 4
Transformations
Handling Data 3
Handling data
Probability
Number 5
Place value
Calculations
Calculator methods
Fractions & %
Ref to
Supplement
of Examples
in Framework
Pg 202 – 212
Use language & notation
associated with:
translations, rotations,
reflections
Pg 250 – 273
Pg 278 – 285
Solve problems including
MMM & range
Collect, organise data using
a questionnaire
Suitable graphical
representation
Interpretation / inferences
Range of techniques
Pg 52 – 55
Pg 88 – 111
Pg 66 – 77
SSM 5
Geometrical reasoning
Lines, angles & shapes
Construction
HCF, LCM, primes
Rapid recall facts
Extend mental methods
Estimates & approximations
×/÷ of decimals by a single
digit whole number
Recognise equivalence of
fractions, decimals & %
Activity
Notes
Transforming
Triangles
Geogebra solution
file
Rotating triangles around
midpoints of sides and
exploring the properties of
the resulting shapes; uses
rotation of 180° about a
centre, side and angle
properties of quadrilaterals.
Average bar charts
A paired or group activity
matching bar charts to sets of
averages data and
calculating missing values.
A game similar to those using
order of operations to find
varying answers, however
this provides more challenge
and brings in wider aspects
of number work.
Prime number challenge is a
homework or small class
investigation on prime
numbers. Can use
spreadsheet to find answer.
24 Game
Prime Number
Challenge
Pg 122 – 143
Pg 154 – 177
Construct & solve simple
linear equations
Substitution positive
integers
Solve problems & represent
a problem mathematically
using symbols, words,
diagrams & tables
Plot simple linear graphs
including y = c & x = c
Always, sometimes,
never - Fibonacci
sequences
A different take on an always
sometimes never task where
pupils are asked to go on and
justify their generalisations
using proof.
Pg 184 – 212
Pg 220 – 223
Identify angle, side and
symmetry properties of
triangles & quadrilaterals
Explore transformations &
symmetries using ICT
Construction (SAS, ASA ,…
Construct nets of 3D
shapes
Construct It!
Geogebra file
Geogebra solution
Uses triangle construction to
help construct a quadrilateral;
awareness of multiple
solutions.
Algebra 5
Equations, formulae &
identities
Sequences, functions &
graphs
Core Objectives
Worcestershire Numeracy Team
Enrichment Activities