KS3 Year 8 & 9 - Course Outline: Mathematics
KS3 Mathswatch
Scheme C unit 1
Grade
5
identify 2D shapes by their properties
5
identify congruent shapes
G1
Topic
5
6
S17
EFG
D
32
36
32
S1 S13
C
5
identify the reflective and rotational symmetries of 2D shapes
6
6
know the angle sum of a triangle and quadrilateral
recognise the properties of angles on a straight line and around a point
S15
S15
68,70
6
recognise angles in parallel lines and use correct maths descriptions (alternate/corresponding)
S21
67
5
use appropriate non-calculator method for adding and subtracting any numbers, including decimals
C7,C8
16
5
use appropriate non-calculator method for multiplying and dividing any 3-digit number by any 2-digit number
C14,C15
17,18,
60
19
100
5
solve simple problems involving ordering, adding, subtracting, multiplying and dividing using negative numbers
C18
6,7
99
6
5
read and write positive and negative integer powers of 10;
multiply and divide whole numbers and decimals by 10, 100 and 1000,
N9
5
5
Simplify or transform linear expressions by collecting like terms
5
Use a letter to represent an unknown number or variable
74,75,83
N1
A1
GCSE Mathswatch
A9
A3
102a+b
KS3 Year 8 & 9 - Course Outline: Mathematics
KS3 Mathswatch
Scheme C unit 2
Grade
Topic
5
GCSE Mathswatch
6
EFG
D
C
Using and Applying 'The Beach GuestHouse'
S1
N2
G2
5
calculate averages (mode, median, mean) and range for discrete and continuous data
D5 D7
41
133a
5
compare 2 distributions using the range and an appropriate average
5
interpret tables, graphs and diagrams for discrete and continuous data
6
construct graphical representations of data on paper or ICT which most relate to the data (may include pie charts, bar
charts, frequency diagrams, line graphs, scatter graphs and stem and leaf diagrams
5
recognise/calculate simple squares, cubes, roots with or without a calculator
5
recognise and find the value of powers and indices
6
express a number as a product of its prime factors (prime factor decomposition)
N21b
95
6
Find the HCF or LCM of numbers
N21 c/d
96
5
transform 2D shapes by rotation on paper and using ICT
S9
74
5
transform 2D shapes by reflection on paper and using ICT
S3,S7
75
5
transform 2D shapes by translation on paper and using ICT
S8
77
6
explore simple combinations of all transformations
85,86,8
7,88,89
D8 D9
D10
N6
42,43
85,86,8
7,88,89
9
46
26
45
KS3 Year 8 & 9 - Course Outline: Mathematics
Scheme C unit 3
A2
N3
G3
level
6
6
6
6
5
5
KS3 Mathswatch
Topic
understand the different roles played by letters in algebra
solve linear equations with unknown on one side
solve linear equations with unknowns on both sides
construct and solve linear equations
use equivalence between fractions and order fractions and decimals
reduce a fraction to its simplest form by cancelling common factors
5
6
N16
N17
C
105
106
47/48
C24
6
use the equivalence of fractions, decimals and percentages to compare proportions
N19
5
read and interpret scales on a range of measuring instruments, explaining what each labelled division represents
5
solve problems involving the conversion of units and make sensible estimates of a range of measures in relation to everyday
S4
situations
5
understand and use the formula for the area of a rectangle and distinguish area from perimeter
6
D
10
add and subtract fractions by writing them with a common denominator; calculate fractions of quantities (fraction
answers), multiply and divide an integer by a fraction
deduce and use formulae for the area of a triangle and parallelogram, and the volume of a cuboid; calculate volumes and
surface area of cuboids
know and use the formulae for the circumference and area of a circle
EFG
A10
A19
6
6
GCSE Mathswatch
56
S10
35
S16
124
33
S24-27
S28-29
34
71/72
KS3 Year 8 & 9 - Course Outline: Mathematics
Scheme C unit 4
level
5
5
A4
Topic
5
6
GCSE Mathswatch
EFG
• recognise and use number patterns and relationships (from Numbers and the number system )
A6
29
• use and interpret coordinates in all four quadrants
A4
28
6
6
• generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using
ICT;
• write an expression to describe the nth term of an arithmetic sequence.
• plot the graphs of linear functions where y is given explicitly in terms of x.
6
• recognise that equations of the form y = mx + c correspond to straight line graphs.
A24
6
• construct functions arising from real-life problems and plot their corresponding graphs.
A14
6
• interpret graphs arising from real situations
A15
6
• To solve problems involving direct proportion by considering algebra and associated graphs
6
6
• Reinforce expanding a single term over a bracket.
• Factorise expressions by taking out single term common factors.
6
A3
KS3 Mathswatch
A11
D
C
65
A12
A13
112
113
117
23
A17(a)
A18
103(a)
104
KS3 Year 8 & 9 - Course Outline: Mathematics
Scheme C unit 5
level
5
5
5
5
5
N4
KS3 Mathswatch
Topic
use and understand the laws of BIDMAS (order of operations)
solve simple problems involving ratio and direct proportion
round decimals to the nearest decimal place
order negative numbers in context
understand simple ratio
5
C16
C19
N14
N15
N18
6
divide a quantity into two or more parts in a given ratio and solve problems involving ratio and direct proportion
C20
6
use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole
6
calculate percentages and find the outcome of a given percentage increase or decrease
6
GCSE Mathswatch
EFG
C
20
6
61
94
23
C23
D
59
61,62
62
93
KS3 Year 8 & 9 - Course Outline: Mathematics
Scheme C unit 6
S2
G4
KS3 Mathswatch
5
5
5
understand and use the probability scale from 0 to 1.
work out probabilities based on equally likely outcomes.
work out probabilities from an experiment.
6
work out probabilities after listing outcomes including Sample Space Diagrams.
D13
6
5
knowing that the sum of all probabilities for an event adds up to 1.
accurately draw shapes through measuring angles.
use a compass to do standard constructions including Side Side Side (SSS) Triangles, Perpendicular Bisectors and Bisecting
Angles.
D13
6
process improve spatial reasoning through exploring and designing mathematical patterns.
D6
D6
GCSE Mathswatch
C40
D15
C90a
C90b
C91
S14
S19
C127C129