Scheme of Work for Year 8 2012-2013
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. Emphasis on the use of using their calculators efficiently at all times and using estimating to
check they have sensible answers.
Lesson
Sequence
Topic
Algebra 1 & 2
1
Sequences
(5-6)
Objectives
*To generate sequences using term-to-term and
position-to-term rule.
Keywords
Resources
(teachers
book) / Pupil
Book
Sequence, nth
term,
NMF: Lesson 1.1/
1A p2
Quadratic
Sequences
(7)
2
Functions
(7)
Graphs
(7)
3
4
Limits of
Sequences (7)
Functional
Maths
5
6
7
Title
(Levels of
Exercise)
Number 1
The Four rules
governing
Fractions
(6-7)
*To generate sequences using term-to-term and
position-to-term rule.
*To write an expression to describe the nth term
of an arithmetic sequence
*To find the inverse of a linear function
Prediction,
quadratic
sequence, first
and second
difference
inverse
*To construct functions arising from real-life
problems.
*To plot their corresponding graphs
*To generate sequences
*To recognise limits of a sequence
Mobile Tariffs
Axes, gradient,
acceleration
*To add, subtract, multiply and divide fractions.
*To cancel common factors
*To change between mixed numbers and
improper fractions
Convert,
equivalent,
mixed number,
top-heavy,
improper, LCM
Sequence, termto-term, limit
Notes
Remind them of
school
presentation
policy
NMF: Lesson 1.2/
1B p4
NMF: Lesson 1.3 /
1C p8
NMF: Lesson 1.4/
1d p9
NMF: Lesson 1.5 /
1E p 11
SMSC – Use real
data and interpret
in context
SMSC- selecting
the most
appropriate tariff
NMF: Lesson 2.1/
2A p 18
Percentages and
Compound
Interest (7-8)
Reverse
Percentages and
Percentage
change (8)
Direct and
Inverse
Proportion (6)
8
9
10
Ratio in Area
and Volume (8)
11
*To find a percentage of an amount
*To understand and calculate compound interest
Compound,
multiplier
*To use a multiplier to calculate a reverse
percentage.
*To know and use the formula for percentage
change.
*To use proportional reasoning to solve problems
*To use known facts to derive unknown facts
Reverse
percentage,
multiplier,
power
Ratio, unit,
direct
proportion,
indirect
proportion
Scale factor –
linear, area,
volume
*To calculate scale factors of length, area and Vol
*To understand and calculate the ratio between
scale factors
NMF: Lesson 2.2 /
2B p21
SMSC – Financial
mathematics
NMF: Lesson 2.3/
2C p24
NMF: Lesson 2.4/
2D p 26
NMF: Lesson 2.5/
2E p 29
12
13
14
Algebra 3
Reciprocal of a
number
Rounding and
Estimation (7-8)
Equations,
Formulae and
Identities (6)
Simultaneous
equations (8)
*To round numbers to 1 significant figures.
*To use this to estimate answers to calculations
Approximate,
significant
figure
*To distinguish between an equation, formulae
and identity
*To solve linear equations
Equation,
expression,
term,
coefficient,
variable,
formula,
identity
Simultaneous
equation,
elimination,
substitution
Substitution,
variable
*To solve simultaneous equations by simplifying
algebraic expressions
15
Solving by
substitution (8)
*To substitute numbers into expressions and
formulae
16
Equations with
fractions (7 – 8)
Inequalities (7)
*To solve equations involving fractions
17
*To manipulate algebraic expressions and
inequalities
*To use accurate inequality notation
Denominator,
cancelling
Inequality
NMF: Lesson 2.7
& 2.8/ 2G p 34 &
2H p 36
Use practical
problems like
ordering enough
concrete to build a
patio
Two exercises in
one lesson. Use
selective
questioning.
NMF: Lesson
3.1/3A p 43
NMF: Lesson 3.2 /
3B p46
NMF: Lesson 3.3/
3C p48
NMF: Lesson 3.4/
3D p50
NMF: Lesson 3.5/
3E p51
If desired do
exercise 3G
before rest
Simultaneous
equations by
graphs (7)
18
*To solve simultaneous equations by plotting
straight-line graphs
intersection
NMF: Lesson 3.7/
3G p 56
LEVEL TEST 1
HALF TERM
19
20
21
Geometry and
Measures 1
Pythagoras’
Theorem (7)
Solving
problems using
Pythagoras (7)
Loci (6-7)
22
Congruent
triangles (7)
23
Circle theorems
(8)
24
25
Tessellations
and regular
polygons (5-6)
Practical
Pythagoras
(8)
*To investigate Pythagoras’ Theorem
*To understand and apply Pythagoras’ theorem
*To investigate Pythagoras’ Theorem
*To understand and apply Pythagoras’ theorem
*To find the locus of a point that moves
according to a simple rule.
*To understand the mathematical definition of
congruent.
*To apply this to triangles
*To know the definition of a circle and name its
parts
* To know the tangent at any point on a circle is
perpendicular to the radius
*To know that the perpendicular bisector of a
chord passes through the centre of the circle.
*To use these to calculate unknown angles.
*To solve problems using properties of angles of
polygons.
*To calculate and use the interior angles of
regular polygons
*To investigate Pythagoras’ Theorem through
proof
*To distinguish between practical demonstration
and proof
Hypotenuse,
Pythagoras’
Theorem,
square, square
root
Hypotenuse,
Pythagoras’
Theorem,
square, square
root
Angle bisector,
perpendicular
bisector,
equidistant,
locus, loci,
region
Congruent,
congruence
NMF: Lesson 4.1/
4A p 60
NMF: Lesson 4.2/
4B p 62
NMF: Lesson 4.3/
4C p65
NMF: Lesson 4.4/
4D p 68
Chord, tangent,
radius
NMF: Lesson 4.5/
4E p 70
Exterior angles,
interior angles,
regular polygon,
tessellate
Proof, prove,
Pythagoras’
Theorem
NMF: Lesson 4.6
/4F p 73
NMF: Lesson 4.7/
4G p75
Optional lesson
Card and scissors
needed
26
27
Statistics 1
28
29
Functional
Maths
Scatter graphs
and correlation
(6-7)
Scatter graphs
and lines of best
fit (7)
Time series
graphs (7)
Two-way tables
(6 – 7)
30
Cumulative
frequency (8)
31
32
33
Garden Design - Worksheet required – In the
teachers book
*To plot scatter graphs
*To interpret and understand correlation of a
graph
*To plot scatter graphs
* To draw a line of best fit
* To use the line of best fit to estimate results
*To compare two or more distributions over a
period of time
*To design and use two-way tables
*To plot cumulative frequency graphs from a
table
* To calculate medians and quartiles from CF
graphs
Estimation of
mean from
grouped data.
(8)
*To estimate the mean from a grouped frequency
table
Statistical
investigations
*To plan and understand the various stages of a
statistical investigation
P80
Correlation –
positive, no and
negative
Line of best fit,
interpret,
correlation
Time series, raw
data, key
features, line
graphs
Two-way table,
relationship,
data, tally,
frequency
Cumulative
frequency,
quartile, lower,
upper, IQR,
polygon, curve
Grouped data,
estimate,
median, mean ,
mid-class value,
frequency table
Questionnaire,
printed table,
database,
survey, statistic,
bias, census
NMF: Lesson 5.1/
5A p 84
NMF: Lesson 5.2/
5B p 87
SMSC- stocks
and shares
NMF: Lesson 5.3/
5C p 90
NMF: Lesson 5.4 /
5D p91
NMF: Lesson 5.5/
5E p95
NMF: Lesson 5.6/
5F p 97
NMF: Lesson 5.7
Level Test 2
Christmas
34
Geometry and
Measures 2
Similar
Triangles (8)
*To understand the meaning of similar shapes
*To identify and justify similar triangles
*To solve problems involving similar triangles
SMSC – use real
data and interpret
in context
similar
NMF: Lesson 6.1/
6A p 110
SMSC – National
Census
Poor Exercise –
new resource to
be made
Metric units for
area and volume
(5-6)
Arc Length and
Sector area
(8)
35
36
*To know and use the formulae for circumference
and area of a circle
*To know and use the formulae for arc length and
sector area
*To calculate the volume of right prisms
Cm2, mm2, m2,
mm3, cm3, m3,
hectare , volume
Arc,
circumference,
radius, sector
NMF: Lesson 6.2/
6B p 113
NMF: Lesson 6.3/
6C p115
40
Multiplying and
Dividing with
standard form
(8)
41
Upper and
lower bounds 1
(7)
*To calculate upper and lower bounds for
numbers to various degrees of accuracy
Cross section,
cylinder, radius,
volume
Density,
pressure, speed
Standard form,
integer, less
than
Standard form,
addition of
powers,
subtraction of
powers
Upper bound,
lower bound,
42
Upper and
lower bounds 2
(8)
Recurring
decimals (8)
*To calculate upper and lower bounds within
calculations.
Upper bound,
lower bound,
NMF: Lesson 7.5/ 7E
p135
*To convert a recurring decimal to a fraction
*To convert a fraction to a recurring decimal
NMF: Lesson 7.6 /
7F 138
Index notation –
Negative
powers (7-8)
Roots and other
fractional
powers (5-8)
Quadratic
graphs (7)
*To use index notation for integer powers
*To know and use the index laws
Recurring
decimal,
terminating
decimal
Power, index
*To calculate and estimate square and cube roots
*To understand fractional indices
Square root,
cube root
NMF: Lesson 8.2/ 8B
p149
*To generate and plot simple quadratic functions
Quadratic,
intercept,
gradient
NMF: Lesson 8.3 /
8C p151
37
38
39
Number 2
43
44
45
46
Algebra 4
Volume of
cylinder
(7-8)
Rate of change
(6-7)
Standard form
(8)
*To convert between metric units of area and
volume
*To solve problems involving compound
measures
*To turn ordinary numbers into standard form
*To turn standard form numbers back to ordinary
numbers
*To use index notation in order to multiply and
divide numbers in standard form
NMF: Lesson 6.4/
6D p116
NMF: Lesson 6.5/
p119
NMF: Lesson 7.1/ 7a
p 127
NMF: Lesson 7.2 &3/
7B p 129 & 7C p131
Two exercises in
one lesson. Use
selective
questioning.
NMF: Lesson 7.4/ 7D
p132
Consider repeated
rounding errors
and the difference
between 2 and 2.0
NMF: Lesson 8.1 /
8A p147
Cubic Graphs
(7-8)
45
*To generate and plot simple cubic functions
Cubic, turning
points
NMF: Lesson 8.4/ 8D
p154
Level Test 3
Half term
48
Statistics 2
49
50
51
52
53
54
55
Geometry and
Measures 3
Probability
Statements &
Mutually
exclusive and
exhaustive
events
(6)
*To interpret results involving uncertainty and
prediction
*To understand and identify all mutually
exclusive outcomes
*To know that the sum of all mutually exclusive
outcomes is 1 and use this to solve problems
Combining
probabilities and
tree diagrams
(8)
Estimates of
probability (6-7)
*To identify all mutually exclusive outcomes
*To draw a tree diagram
*To use the tree diagram to solve probability
questions
*To compare experimental and theoretical
probabilities.
Fractional
Enlargements
(7)
Trigonometry –
Tangent (8)
*To enlarge 2D shapes given a centre of
enlargement and a fractional scale factor
*To understand and use the Tangent relationship
in right angle triangles to find unknown sides and
angles
Trigonometry –
Cosine and Sine
(8)
*To understand and use the Sine and Cosine
relationships in right angle triangles to find
unknown sides and angles
Problems using
Trigonometry
(8)
Functional
*To use all 3 trigonometric relationships to find
unknown sides and angles in various problems.
Map Reading
Certain, even,
probability,
probable,
mutually
exclusive,
exhaustive,
probability,
expectation
Tree diagram,
mutually
exclusive,
independent
Relative
frequency,
estimate,
probability,
expectation,
limit
Object, image,
centre of
enlargement,
scale factor,
similar
Adjacent,
hypotenuse,
opposite,
tangent
Adjacent,
hypotenuse,
opposite, sine,
cosine
Cosine, sine,
tangent
Two exercises in
one lesson. Use
selective
questioning.
NMF: Lesson 9.1 &
9.2 / Ex 9A p159 &
Ex 9B p161
NMF: Lesson 9.3/ 9C
p 164
NMF: Lesson 9.4/ 9D
p167
NMF: Lesson 10.1/
Ex 10 A p 175
NMF: Lesson 10.2/
10 B p 181
NMF: Lesson 10.3/
10 C p184
NMF: Lesson 10.4/
10 D p187
Maths
56
Algebra 5
Expansion (5-7)
57
Factorisation (7)
58
Quadratic
expansion (7)
Quadratic
factorisation (8)
Change of
subject (7)
Graphs from
equations in the
form Ay±Bx= C
(7)
59
60
61
*To use enlargement and trigonometry in map
reading
*To expand single brackets and simplify
expressions
*To factorise expressions into single brackets
Dimension,
expansion
Factorisation
*To expand two brackets and simplify to a
quadratic
*To factorise a quadratic into two brackets
Expand,
quadratic
Factorisation
*To change the subject of the formula
Subject
* To draw graphs from this format
Cover up
method,
gradient,
intercept
NMF: Lesson 11.1/
11A p 195
NMF: Lesson 11.2/
11B p 197
NMF: Lesson 11.3/
11C p199
NMF: Lesson 11.4/
11D p 202
NMF: Lesson 11.5/
11E p 200
NMF: Lesson 11.6 /
11F p205
Level Test 4
Easter
Revision –use these exercise and other resources
62
63
64
65
66
67
Solving
Problems and
Revision
Fractions,
Percentages and
Decimals (6-8)
The first four
rules, ratios and
standard form (6
– 8)
Rules of algebra
and solving
equations
(6 – 8)
Graphs
(6 – 8)
Geometry and
measures (6-8)
Statistics
(6 – 8)
*To review and solve problems involving
fractions, decimals and percentages
NMF: Lesson
12.1/12A pg 210
*To review and solve problems involving the first
four rules, ratios and standard form
NMF: Lesson 12.2/
12B p213
*To review and solve problems involving the
Rules of algebra and solving equations
*To review and solve problems involving the
Graphs
*To review and solve problems involving the
Geometry and measures
*To review and solve problems involving the
Statistics
NMF: Lesson 12.3 /
12C p 215
NMF: Lesson 12.4/
12D p216
NMF: Lesson 12.5/
12E p 218
NMF: Lesson 12.6/
12F p 222
68
69
Statistics 3 &
Revision
Geometry &
Measures 4 and
revision
70
Statistical
techniques (6-7)
G & M revision
& investigation
* To revise key techniques
NMF: Lesson 13.1/
Ex 13 A p 228
NMF: Lesson 14.1 &
14.2/ 14A p 235 &
14 B p 236
Symmetry
Revision
* To revise work on symmetry
NMF: Lesson 14.3
&4/ 14C p 238 &
14D p 239
NMF: Lesson 15.1/
15A p 244
* To revise the work of the year on Geometry and
Measure
71
Statistics 4 &
Revision
Revision of
Probability
* To revise work on probability
72
GCSE Prep
Solving
Quadratic
Equations (B)
Quadratic
Equation a≠ 1
(B-A)
The difference
of two squares
( B – A)
* To factorise & solve quadratics of the form
ax2 + bx + c
Quadratic,
factorise, root
NMF: Lesson 16.1/
16 A p 250
* To factorise quadratics of the form ax2 + bx + c
with a≠ 1
Quadratic,
factorise, root
NMF: Lesson 16.2/
16 B p 251
To factorise and recognise the difference of two
squares
Factorise
difference of
two squares
(DOTS)
NMF: Lesson 16.6/
16 F p 255
Two exercises in
one lesson. Use
selective
questioning.
Two exercises in
one lesson. Use
selective
questioning.
SUMMER Exams
73
74
Functional
Maths Practise
The Eden
Project
Road Safety
Optional if time
Squirrels
Optional if time
Mobile Shop
Optional if time
Optional if time