# Enrichment references to KS3 (Y7) WEBSITE VERSION ```Enrichment in Mathematics – Year 7
Unit as per MTP
(Autumn)
Algebra 1
Sequences &amp; functions
Formulae &amp; 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 &amp; area.
Area &amp; perimeter of
rectangles, surface area of
cuboids
Activity
Consecutive
numbers
ExtensionFinding the nth term of a
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 &amp; %
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 &amp; %
Extend mental methods,
check results, simplify
problems explain &amp; justify
methods
Averages – MMM &amp; range
of grouped data
Interpretations of tables, pie
charts, graphs, etc
Probability scale from 0-1 in
simple context.
Notes
the digits 1-9 into a 3 &times; 3 grid
so that every row, column
same total.
Finding dimensions of boards
given relative measurements;
uses area, trial &amp;
improvement, patternseeking and algebraic
generalisation.
Finding surface area of a
cube from given restrictions;
uses trial &amp; improvement or
algebraic method.
Splitting a 4 by 4 grid of table
into sections; problemsolving.
What’s between &frac12;
and &frac34;?
A starter/plenary activity
looking at equivalent
fractions.
Birthday Boy
equivalent fractions &amp;
problem solving.
Sam’s CD’s
A real life problem solving
operations and finding
fractions of amount.
Where do I fit in?
looking at median, mode and
range in a real life context.
Enrichment Activities
Enrichment in Mathematics – Year 7
Algebra 2
Equations
Formulae &amp; identities
SSM 2
Geometrical reasoning
Lines, angles &amp; 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 &amp; represent
a problem mathematically
using symbols, words,
diagrams &amp; tables
Conventions
Angles, parallel lines,
2D coordinates in all 4
Solving algebraic
puzzles
find a number of different
ways of finding a solution.
efficiency.
What time is dinner?
A paired activity based on
solving a mystery style
problem. Substitution &amp;
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 &amp;
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 &amp;
decimals
Order of operations
Mental methods, fractions,
decimals, %
&times;/&divide; 3 digit by 2 digit
Check results, break down
a calculation
Pg 52 – 59
Pg 108 – 109
Pg 148 - 167
Multiples &amp; factors
Primes, ∆ numbers,
squares
Sequences
Simple linear graphs
Pg 184 – 189
Pg 198 – 201
Pg 220 – 223
Identify angle, side and
symmetry properties of
2D representation of 3D
shapes
Construction (SAS, ASA ,…
Pg 70 – 81
Pg 110 – 111
Recognise equivalence of
fractions, decimals &amp; %
Compare simple proportion
Relationship between ratio
and proportion
Divide a quantity into 2
parts in a given ratio
Check results
Algebra 3
Integers, powers &amp;
roots
Calculator methods
Sequences, functions &amp;
graphs
SSM 3
Geometrical reasoning
Lines, angles &amp; shapes
Construction
Number 4
Fractions, decimals &amp; %
Ratio &amp; proportion
Calculations
Algebra 4
Equations, formulae &amp;
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
students have to apply their
knowledge of statistical
methods and methods of
calculation to look at profit
cans.
Digit Multiplication
provides opportunity for
pupils to apply their
knowledge of
multiplication/division facts.
Always, sometimes,
never true
A different take on an always
pupils are asked to go on and
justify their generalisations
using proof. An ideal
opportunity for paired/group
work and discussion.
pupils’ spatial awareness as
well as their ability to
translate 3D to 2D. Can also
be related to plans &amp;
elevations.
Flour Power
increase and decreases.
What’s the Size?
Ratio and proportion in a
shape, space &amp; measures
context.
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 &amp; %
Ref to
Supplement
of Examples
in Framework
Pg 202 – 212
Use language &amp; notation
associated with:
translations, rotations,
reflections
Pg 250 – 273
Pg 278 – 285
Solve problems including
MMM &amp; 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 &amp; shapes
Construction
HCF, LCM, primes
Rapid recall facts
Extend mental methods
Estimates &amp; approximations
&times;/&divide; of decimals by a single
digit whole number
Recognise equivalence of
fractions, decimals &amp; %
Activity
Notes
Transforming
Triangles
Geogebra solution
file
Rotating triangles around
midpoints of sides and
exploring the properties of
the resulting shapes; uses
centre, side and angle
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
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
24 Game
Prime Number
Challenge
Pg 122 – 143
Pg 154 – 177
Construct &amp; solve simple
linear equations
Substitution positive
integers
Solve problems &amp; represent
a problem mathematically
using symbols, words,
diagrams &amp; tables
Plot simple linear graphs
including y = c &amp; x = c
Always, sometimes,
never - Fibonacci
sequences
A different take on an always
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
Explore transformations &amp;
symmetries using ICT
Construction (SAS, ASA ,…
Construct nets of 3D
shapes
Construct It!
Geogebra file
Geogebra solution
Uses triangle construction to