Scheme of Work for Year 7 2012-2013
The first few topics come from the Year 7 New Maths books and the remainder come from the Year 8 New Maths books. Please take
care to read each topic carefully as I have sometimes missed sections of topics out. Throughout stress efficient use of a calculator and
estimations to check that a sensible answer has been obtained.
Lesson
Sequen
-ce
1
Topic
(Level)
Title
Algebra 1
(4-6)
Sequences and rules
* To describe integer sequences
* To generate terms of a simple sequence
integer; sequence; term;
rule; difference
NMF: Lesson 1.1 pg 4
/ 1A pg1
(5)
Finding missing terms
* To generate terms of a simple sequence,
given a rule (see school presentation plan)
sequence; term; difference
NMF: Lesson 1.2 pg 6
/ 1B pg 3
(6)
Finding the general term (nth
term)
nth term; justify;
generalisation
NMF: Lesson 1.3 pg 8
/ 1C pg 4
(4-6)
Using letter symbols to
represent functions
* To generate sequences from patterns or
practical contexts and describe the general
term in simple cases
* To use letter symbols to represent
unknown numbers or variable
function; mapping;
expression; variable
NMF: Lesson 1.5 pg
12/ 1E pg 8
Number 1
(5-6)
Decimals
Ordering Decimals
Directed Numbers
(5-6)
Estimates
Digit, order, place, tenth,
hundredth, between
thousandth ,compare, most,
least, digit, significant
Positive, negative, plus,
minus, integer, directed
number.
Guess, estimate,
approximate, roughly, nearly
NMF: lesson 2.1 P.20
2.2 P.22/ 2A & 2B pg
17 and pg 23
(5-6)
*To use decimal notation and place value.
*To multiply and divide by powers of ten
*To order and compare decimals in different
context.
*To understand negative numbers as
positions on a number line.
*To order, add and subtract integers.
*To make and justify estimates and
approximations of calculations.
(4-6)
Column method for addition,
subtraction and multiplication
Real life problems
Difference, point, place,
columns, tens, units, tenths,
hundredths, deposit, profit,
loss, credit, cost, selling
NMF: lesson 2.5 P.28/
2E pg 25 & 2F pg 27
Number 4
(4-6)
Ratio and Proportion
*To use efficient written methods to ad and
subtract whole number and decimals with a
focus on presentation.
* To use known facts to derive unknown
facts
* To understand the relationship between
ratio and proportion
* To use direct proportion in simple
contexts and to use ratio notation
Proportion; ratio; cancel;
simplest form; highest
common factor
NMF: Lesson 12.2 pg
146 / 12B pg 152
2
3
4
5
6
7
8
9
Objectives
Keywords
Resources
(teacher’s
book)/ Pupils
Book
NOTES
Fairly short as
admin during
these lesson.
Focus on
presentation of
work
Can use part of
previous ex as
starter
Two exercises in
one lesson. Use
selective
questions.
NMF: lesson 2.3 P.24/
2C pg 20
NMF: lesson 2.4 P.26/
2D pg23
Emphasis on use
for checking for
sensible answers
Two exercises in
one lesson. Use
selective
questions.
10
11
12
(4-5)
Algebra 2
(4-5)
Calculating ratios and
proportion
Algebraic terms and expressions
(4-6)
Rules of algebra
(4-6)
Expanding and simplifying
(5-6)
Formulae
Equations
Geometry
and Measures
1 (6)
(6)
Areas of some 2-D shapes
Geometry
and Measures
3
(5-6)
Constructions
13
14
15
16
17
Surface area and volume of
cuboids
* To simplify ratios and divide a quantity
into two parts in a given ratio
*To use symbols to represent unknown
numbers/variables
*To substitute numbers into an expression
*To understand that algebraic operations
follow the rules of arithmetic.
*To simplify expressions by collecting like
terms.
*To multiply out a single bracket.
*To substitute integers into linear
expressions and formulae.
*To derive simple formulae.
Ratio; cancel; lowest terms;
simplest form
Algebra, variable, substitute,
term, expression
NMF: Lesson 12.3 pg
148/ 12C pg 154
NMF: lesson 6.1 P.72/
6A pg 78
Operation, convention
Term, like terms, expansion,
simplify
NMF: lesson 6.2 P.74 /
6B pg 80
NMF: lesson 6.3 P.76 /
6C p82
Formula, substitution,
expression
NMF: lesson 6.4 P.78/
6D pg 83 & 6E pg 85
* To derive and use formulae for the area of
a triangle, parallelogram and trapezium
* To calculate areas of compound shapes
* To know and use the formula for the area
of a rectangle and to calculate the perimeter
and area of shapes made from rectangles
* To calculate the surface area of cubes and
cuboids
* To know and use the formula for the
volume of a cuboid and to calculate volumes
and surface areas of cuboids and shapes
made from cuboids
* To make accurate mathematical
constructions
* To construct a triangle using SAS and
ASA
* To construct the midpoint and
perpendicular bisector of a line segment and
the bisector of an angle
Base; eight; perpendicular
height; parallelogram;
trapezium
Cube; cuboid; surface area;
volume; cubic millimetre;
cubic centimetre; cubic
metre; formula
NMF: Lesson 3.2 pg
36 / 3B pg 36
Construct; protractor; ruler;
bisect; bisector; mid-point;
perpendicular bisector;
construction line
NMF: Lesson 11.2 pg
138/ 11B pg 144
Mirror line; object; image;
reflection; transformation
Centre of rotation; object;
image; rotation
NMF: Lesson 14.2 pg
168 & 14.3 pg 170/
14B pg 176 & 14C pg
178.
Two exercises in
one lesson. Use
selective
questions.
NMF: Lesson 3.4 pg
40/ 3D pg 42.
LEVELS TEST 1
HALF TERM
18
Geometry
and Measures
4
(4-6)
Reflections
Rotations
* To understand and use the language and
notation associated with reflections and
rotations
* To recognise and visualise the
symmetries of a 2-D shape
* To transform 2-D shapes by reflecting in
given mirror lines
* To transform 2-D shapes by rotating about
a given point
Two exercises in
one lesson. Use
selective
questions.
19
(5-6)
Translations Enlargements
* To understand and use the language and
notation associated with translations &
enlargement.
* To recognise and visualise the
symmetries of a 2-D shape
* To transform 2-D shapes by translating
* To transform shapes using reflection,
rotation and translation
* To enlarge 2-D shapes, given a centre of
enlargement and a positive integer scale
factor
Centre of enlargement;
enlarge; image; object; scale
factor translation; image;
object
NMF: Lesson 14.4 pg
172 & 14.5 pg 174 /
14D pg 180 & Ex 14E
pg 182
Two exercises in
one lesson. Use
selective
questions.
YEAR 8 BOOK
20
Number and
Algebra 1
(5-6)
(4-7)
Multiplying & dividing negative
numbers
* To multiply by negative numbers
* To divide by negative numbers
Positive, negative,
BODMAS
NMF: Lesson 1.1 pg 4
/ 1A pg 1
HCF and LCM
* To find the highest common factor of two
integers
* To find the lowest common multiple of
two integers.
* To apply Integers between 1 and 10 to
various powers.
* To apply the second and third roots to
various integers
* To write a number as a product of its
prime factors
* To find the HCF and LCM of two numbers
by finding their prime factors.
* To identify alternate and corresponding
angles
* To calculate missing angles using alternate
and corresponding angles.
* To calculate interior and exterior angles in
regular polygons
* To learn the properties that define various
quadrilaterals
Factor, multiple, integer,
prime, HCF, LCM
NMF: Lesson 1.2 pg 6
/ 1B pg 3
Power, Index, Root, Square,
cube
NMF: Lesson 1.3 pg 8
/ 1C pg 6
Prime, factor, multiple,
Factor Tree, HCF, LCM
NMF: Lesson 1.4 pg
10 / 1D pg 8
Alternate, supplementary,
complimentary,
corresponding, intersect,
parallel, angle
Interior, exterior, sum,
polygon, regular,
Parallel, bisect, symmetry,
rotational, equal, diagonal,
adjacent, right angle
Numerator, denominator,
terminating, recurring
NMF: Lesson 2.1 pg
22 / 2A pg
23
Common denominator,
mixed number, top-heavy
fraction
NMF: Lesson 4.2 pg
50/ 4B pg 56
21
(5-6)
Powers and Roots
(6-7)
Prime Factors
22
23
24
25
Geometry &
Measures 1
(6)
(6)
(6)
26
27
Number 2
(6-7)
(5-6)
28
Alternate and Corresponding
angles
Interior and Exterior Angles of
Polygons
The geometric properties of
quadrilaterals
Fractions and Decimals
Adding and Subtracting
fractions
* To recognise that a recurring decimal is a
fraction
* To convert a fraction to a decimal
* To order fractions and decimals
* To add and subtract fractions
NMF: Lesson 2.2 pg
24 / 2B p26
NMF: Lesson 2.4 pg
28 / 2D p30
Use the proper
names
2C can be used
for extension
NMF: Lesson 4.1 pg
48 / 4A p55
Revision of mixed
and top heavy
fraction needed
(5-6)
Multiplying and Dividing
fractions
(6)
Percentages
(5-6)
Percentage Increase and
Decrease
Algebra 2
(4)
Algebraic Shorthand
Like Terms
32
(5-7)
Expanding Brackets
33
(6)
Using Algebra with Shapes
34
(5-7)
Index Notation
29
30
* To calculate fractions of quantities
* To multiply and divide an integer by a
fraction
*To express one given number as a
percentage of another
* To calculate percentage increase and
decrease
Fraction, improper, mixed
number, half, third, quarter
NMF: Lesson 4.3 pg
52 / 4C pg 58
Percentage, denominator,
equivalent fraction
Increase, decrease,
reduction, VAT
NMF: Lesson 4.4 pg
54 / 4D pg 59
NMF: Lesson 4.5 pg
56 / 4G pg 61
* To recognise that letter symbols play
different roles in equations, formulae, and
functions.
* To simplify or transform linear
expressions by collecting like terms
* To expand a single term over a bracket
* To expand brackets and collect like terms
* To multiply out single brackets and collect
like terms
* To use index notation for small positive
integers
Expression, term, like terms,
simplify symbol, operation,
equal
NMF: NMF: Lesson
5.1 pg 64 & Lesson 5.2
pg 66 / Ex 5A pg 71 &
Ex 5B pg 73
Multiply out, expand,
factorise
Perimeter, area, expansion,
simplify
Power, index, indices,
cancelling
NMF: Lesson 5.3 pg
68 5C pg 74
NMF: Lesson 5.4 pg
70 / EX 5D pg 76
NMF: Lesson 5.5 pg
72/ 5E pg 79
31
31
SMSC –
opportunity to
consider the rate
at which credit
card debts
increase,
repayment of
loans and
mortgages,
how taxes work
Two exercises in
one lesson. Use
selective
questions.
LEVELS TEST 2
CHRISTMAS
35
Statistics 1
(6-7)
(6-7)
Probability & Probability Scales
*To work out different probabilities
*To understand the probability scale
*To know probabilities sum to 1
Probability, event, outcome,
success, fraction, random,
predictable
NMF: Lesson 3.1 pg
34 -37 / Ex 3A pg 38 &
pg 40
Mutually Exclusive events
*To understand what mutually exclusive
events are
NMF: Lesson 3.2 pg
38/ 3C p42
Calculating probabilities
*To work with sample space diagrams
*To work with two way tables
Experimental probabilities
*To understand the difference between
theoretical and experimental probability
*To calculate theoretical and experimental
probability
Mutually exclusive,
Probability, event, outcome,
success
Probability, event, outcome,
success, sample space, two
way table
Probability, event, outcome,
success, experimental,
theoretical
36
(6)
37
(6-7)
38
NMF: Lesson 3.3 pg
40 / 3D pg 44
NMF: Lesson 3.4 pg
42 / 3E pg 48
Two exercises in
one lesson. Use
selective
questions
39
Geometry
and Measures
2
(6)
(6-7)
The Circle
* To understand the definition of a circle.
* To recognise and name the various parts of
a circle
Circumference of a Circle
(6-7)
Area of a Circle
(7)
Surface Area and Volume of
Prisms
(5)
Imperial Units
*To learn the formula to calculate a circles
circumference
* To use the formula to calculate the
circumference
*To learn the formula to calculate a circles
area
* To use the formula to calculate the area
* To convert between area and volume
measures
* To calculate surface area and volume of
right prisms
* To know rough metric equivalents of
imperial measures in common use.
* To convert between metric and imperial
units
* To find a function given a set of inputs and
outputs
* To find an inverse of a function
* To plot the graph of a function in all four
quadrants
* To recognise that the equation of a straight
line is
y = mx +c
* To calculate the gradient and intercept of
straight lines
* To construct and plot graphs given real life
situations
* To interpret and use the graphs to make
predictions
*To read and write positive integer powers
of 10
*To multiply and divide integers and
decimals by 0.1, 0.01 and powers of 10
* Round decimals to the nearest whole
number or to 1 or 2 decimal places
* To round positive numbers to any given
power of 10
* To round decimals to the nearest whole
number or a given number of decimal
places
40
41
42
43
44
45
Algebra 3
(6 - 7)
Finding a function from Inputs
and Outputs
(6-7)
Graphs of Functions
(6-7)
Gradient of a Straight Line
(6-7)
Real-Life Graphs
46
47
Number 3
(4-7)
Powers of 10
Large Numbers
48
(5-6)
49
Working with Decimals
Centre, circumference, arc,
radius, diameter, chord,
tangent, segment, sector,
semicircle
Circumference, diameter, pi,
radius
NMF: Lesson 6.1 pg
76 / 6A pg 83
area, diameter, pi, radius
NMF: Lesson 6.3 pg
80 / 6C pg 87
Prism, cross section,
volume, surface area
NMF: Lesson 6.4 pg
82 / 6D pg 89
Metric, imperial, convert,
capacity, length, mass
NMF: Lesson 6.5 pg
84/ 6E pg 92
SMSC – use of
imperial units in
context
Function, input, out, inverse
NMF: Lesson 7.2 pg
90/ 7B pg 99
Can use Exercise
7A as starter
Coordinates, axes, equation
NMF: Lesson 7.3 pg
92/ 7C pg 101
NMF: Lesson 7.4 pg
94/7D pg 104
Also include y=x,
y=c & x= c c∈ R
Gradient, intercept,
coordinates, axes
NMF: Lesson 6.2 pg
78/ 6B p85
Travel graph, average speed
NMF: Lesson 7.5 pg
96/ 7E pg 106
Round, decimal, power of 10
Place value, power, million,
billion
NMF: Lesson 8.1 pg
102 &: Lesson 8.2 pg
104 / 8A p113 & 8B pg
115
Integer, tenths, hundredths,
decimal, rounding
NMF: Lesson 8.4 pg
108/ 8D pg 118
Two exercises in
one lesson. Use
selective
questions
(5-6)
Multiplying and dividing
decimals
50
* To multiply decimals and integers by
integers and decimals
* To divide decimals and integers by
integers and decimals
Long division, long
multiplication, column
method, chunking
NMF: Lesson 8.6
pg112 / 8F pg 123
If too short then
use Ex 8E on
efficient
calculator use or
the National Test
Questions
Transformation, map,
reflect, rotate, translate
NMF: Lesson 9.2 pg
120/ 9B 131
Explain congruent
shapes prior to
starting the
exercise
Object, image, enlarge,
centre of enlargement, scale
factor, negative enlargement
Plane, solid, symmetry, axis
NMF: Lesson 9.3 pg
122/ 9C p136
LEVELS TEST 3
Half Term
Geometry
and Measures
3
(5-6)
(7)
Combinations of
Transformations
(7)
Planes of Symmetry
(5-7)
Shape and Ratio
Geometry
and Measures
5 (5 - 6)
(7)
Map Scales
57
(5-6)
Bearings
58
Algebra 4
(5-6)
(5-7)
Equations involving negative
numbers
Equations with unknowns on
both sides
Substituting into expressions
and
Substituting into formulae
51
Enlargements
52
53
54
55
Loci
56
59
(5-7)
60
61
(5-7)
Creating your own expressions
and formulae
* To transform shapes by rotation, reflection
and translation
* To transform a shape with a combination
of the above
* To enlarge a 2D shape given a centre of
enlargement and a positive integer scale
factor
* To identify reflection symmetry in 3D
shapes
* To apply the relationship between ratio
and proportion to shape sizes.
* To simplify ratios
* To use and interpret maps and scale
drawings in the context of mathematics and
other subjects.
* To find simple loci to produce shapes and
paths
Ratio, length, are, volume,
simplest form
NMF: Lesson 9.4 pg
124 / 9D pg 138
NMF: Lesson 9.5 pg
126/ 9E pg 140
Map, scale drawing, map
scale, map ratio, scale factor
NMF: Lesson 15.4 pg
206 / 15D pg 220
NMF: Lesson 15.5 pg
208 / 15E pg 222
* Use bearings to specify a direction from
one position to another
* To construct and solve linear integer
equations with negatives
* To construct and solve linear integer
equations with unknowns on both sides
* To substitute positive integers into
expressions involving small powers
* To substitute integers into simple formulae
Equidistant, locus, loci,
angle bisector, perpendicular
bisector
Bearing, north, compass,
back bearing
Equation, linear, unknown,
solve, negative
Equation, linear, unknown,
solve, negative
Expression, substitution,
variable
Formula, variable
* To create and derive simple formulae
Expression, formula
NMF: Lesson 10.6 pg
140/ 10F pg 153
LEVELS TEST 4
Easter
NMF: Lesson 15.6 pg
210/ 15F pg 225
NMF: Lesson 10.2 pg
132/ 10 B pg 144
NMF: Lesson 10.3 pg
134/ 10 C pg 148
NMF: Lesson 10.4/5
pg 136 – 138 / 10D pg
149 & 10En pg 151
Two exercises in
one lesson. Use
selective
questions
62
Statistic 2
(7)
Statistical Surveys
(6)
Stem and Leaf Diagrams
(7)
Interpreting graphs and
diagrams
(6)
Scatter graphs
(6-7)
Analysing Data
63
64
65
66
67
Algebra 5
(4-7)
Expand and Simplify
(7)
Solving Equations by Trial and
Improvement
69
(5-7)
Constructing Equations
70
(6)
Problems with Graphs
(6)
Real-life graphs
(7)
Change of Subject
68
71
72
73
74
. Solving
Problems
(6)
(6)
(6)
75
Number and Measures
Using algebra, graphs and
diagrams to solve problems
Logic and Proof
* To write a questionnaire with appropriate
questions
* To plan and collect data accurately and
efficiently
* To create stem-and-leaf diagrams given a
set of data.
* to calculate statistics for sets of discrete
and continuous data
* To interpret a range of graphs and
diagrams relating to statistical data
* To discuss and critique statements made
about the data
* To plot a scatter diagram give a set of data
* To interpret the graph in relation to its
correlation
* To discuss, analyse and write about the
results of a statistical enquiry
* Simplify expressions by collecting like
terms
* Expand and simplify single brackets
* Expand and solve linear equations
* to find an approximate solution to a nonlinear equation through trial and
improvement
* To construct and solve linear equations
given a problem
* To find the gradient, y-intercept and
equation of straight line graphs.
* To construct linear functions arising from
real-life situations.
* To interpret graphs arising from real-life
situations
* To rearrange a formula to make another
variable the subject
* To identify mathematical features in a
given problem and use them to solve the
problem
*Use graphs and set up equations to solve
simple problems involving direct proportion
* Use logical argument to interpret the
mathematics in a given context
* Give accurate solutions to a problem
Problem, hypothesis, survey,
experiment, questionnaire,
observation, data
NMF: Lesson 11.1 pg
144/ 11A pg 159
Range, mean, median, mode,
average, stem-and-leaf
diagram
NMF: Lesson 11.2 pg
146 / 11B pg 161
Interpret, criticise, secondary
data,
NMF: Lesson 11.3 pg
148 / 11C pg 162
Scatter graph, correlation,
positive, negative
NMF: Lesson 11.4 pg
150 / 11D pg 165
Hypothesis, data, analysis,
report, conclusion
Expression, equation,
expand, simplify, like terms
NMF: Lesson 11.5 pg
152 / 11E pg 166
NMF: Lesson 13.1 pg
172 / 13A pg 185
Linear, non-linear, powers,
trial and improvement
NMF: Lesson 13.2 pg
174 / 13B pg 187
Equation, construct, solve
NMF: Lesson 13.3 pg
176/ 13C pg 188
NMF: Lesson 13.4 pg
178/ 13D pg 190
NMF: Lesson 13.5 pg
180 / 13E pg 192
Gradient, intercept, rise, run
Axes, relationship, variable
Subject, transform, express
in terms of
Investigate, solve, problem,
numbers, measures,
conversions, bound,
consecutive
Algebra, graph, equation,
flowchart
Solution, proof, trial and
improvement, integer,
consecutive, best value,
counter-example
NMF: Lesson 13.6 pg
182/ 13F pg 194
NMF: Lesson 14.1 pg
188/14A pg 201
NMF: Lesson 14.2 pg
190/ 14B pg 203
NMF: Lesson 14.3 pg
192/ 14C pg 205
SMSC – use real
data and interpret
it in context
Use for revision
prior to EOY test
Half Term
SUMMER EXAM
7
16. Statistics
3
(6-7)
Collecting Data for Frequency
Tables
* To decide on types of data and relevant
degrees of accuracy
* To plan how to collect the data
* To design a survey to collect data
* To calculate the mean of a set of numbers
given an assumed mean
* To understand what happens to the mean
and range of a set of numbers when an
operation is applied to the set
*To construct and interpret frequency
diagrams
(6)
Assumed Mean and Working
with Stats
(6)
Drawing Frequency Diagrams
(6)
Comparing Data
* To compare two distributions using the
range, mean, median and mode
(6-7)
Comparing sets of Data
(6-7)
Experimental and Theoretical
Probability
* To compare two or more distributions and
make inferences from appropriate statistics
* to compare estimated experimental
probabilities with theoretical probabilities
Data, frequency table, class
interval, data collection,
sample size, bias, primary
source, secondary source
Mean, assumed mean, range
NMF: Lesson 16.1 pg
218/ 16A pg 236
Bar chart, line graph,
frequency diagram, time
series, continuous, discrete
Comparison, distribution,
mean, range, variation,
consistency, mode, median
Comparison, percentage bar
chart, distribution
Biased, event, sample space,
experimental, theoretical
NMF: Lesson 16.3 pg
222/ 16C pg 240
SMSC – use reallife data and
interpret in
context
NMF: Lesson 16.2 pg
220/ 16B pg 237
Short exercise
maybe combine
with next
NMF: Lesson 16.4 pg
224/ 16D pg 241
NMF: Lesson 16.5 pg
226/ 16E pg243
NMF: Lesson 16.6 pg
228 / 16F pg 245
There are 4 Levels tests plus 1 Summer Exam. There should be enough spare lesson time, to go over tests and exams and still complete
the syllabus. If your class struggles for some reason to understand a lesson, do not feel you have to continue to the next lesson
regardless.
Functional Maths exercises can be left for cover lessons or for when you are ahead of the scheme of work.