Term
Mathematics department
Year 9 – Scheme of work (Long term plan)
Academic year 2023/2024
Subject Teacher: Ms Zayneb
Unit
1
Integers
Autumn 1
2
Expressions,
formulae and
equations
Page
numbers
in the
book
9-28
29-64
Topics
 Factors, multiples and
primes.
 Multiplying and
dividing integers.
 Square roots and cube
roots.
 Indices.
 Constructing
expressions.
 Using expressions and
formulae.
 Expanding brackets.
Core Objectives
 Understand factors, multiples, prime factors, highest
common factors and lowest common multiples.
 Understand that brackets and operation follow a
particular order.
 Estimate, multiply and divide integers, recognizing
generalisations.
 Recognise square of negative and positive numbers, and
corresponding square roots.
 Recognise positive and negative cube numbers, and the
corresponding cube roots.
 Understand the hierarchy of natural numbers, integers
and rational numbers.
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3
Place value
and rounding
66-79
 Multiplying and
dividing by 0.1 and
0.01.
 Rounding.
Prepared by: Mr Mahamed
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Strand of
mathematics
Number
Understand that letters have different meaning in
expressions, formulae and equations.
Understand that the order of operation (BIDMAS)
rules applies to algebraic terms and expressions.
Understand that a situation can be represented either
in words or as a formula.
Understand how to change the subject of a formula by
using knowledge of inverse operation.
Understand how to expand a bracket with a single
term.
Algebra
Use knowledge of place value to multiply and divide
integers by 0.1 and 0.01.
Round numbers to a given number of significant
figures.
Number
4
Decimals
80-103
 Ordering decimals.
 Multiplying. decimals
 Dividing by decimals.
 Making decimals
calculations easier.
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Autumn 2
5
Angles and
constructions
105-125
 Parallel lines.
 The exterior angle of a
triangle.
 Constructions.
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6
Collecting data
7
Fractions
Spring 1
126-136
137-170
 Data collection.
 Sampling.
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 Fractions and recurring
decimals.
 Ordering fractions.
 Subtracting mixed
numbers.
 Multiplying an integer
by a mixed number.
 Dividing an integer by
a fraction
 Making fraction
calculations easier.
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Understand the relative size of quantities to order and
compare decimals (positive and negative) using the
symbols =, ≠, >, <, ≥, ≤.
Estimate and multiply decimals by integers and
decimals.
Estimate and divide decimals by numbers with one
decimal place.
Use knowledge of the laws of arithmetic and order of
operations (including brackets) to simplify calculations
containing decimals.
Number
Recognise and describe the properties of angles on
parallel and intersecting lines, using geometric
vocabulary such as alternate, corresponding and
vertically opposite.
Derive and use the fact that the exterior angle or a
triangle is equal to the sum of the two interior
opposite angles.
Construct triangles, midpoint and perpendicular
bisector of a line segment, and the bisector of an
angle.
Geometry
and
measure
Choose and justify appropriate methods to collect data
and choose a sample.
Know different sampling methods and their
advantages and disadvantages.
Statistics
Recognise fractions that are equivalent to recurring
decimals.
Understand how to order and compare decimals and
fractions.
Subtract mixed numbers, writing the answer as a
mixed number in its simplest form, and estimate the
answer.
Multiply an integer by a mixed number and estimate
the answer.
Multiply an integer by a proper fraction and estimate
the answer.
Use the laws of arithmetic and order of operations to
simplify calculations containing fractions.
Number
8
Shapes and
symmetry
171-196
 Quadrilaterals and
polygons.
 The circumference of a
circle.
 3D Shapes
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9
Sequences and
functions
198-223
 Generating sequences.
 Finding rules for
sequences.
 Using the nth term.
 Representing simple
functions.
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Identify and describe the hierarchy of quadrilaterals.
Understand that the number of sides of a regular
polygon is equal to the number of lines of symmetry
and the order of rotation.
𝐶𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒
Know that 𝜋 = 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟
Know and use 𝐶 = 𝜋𝑑
Understand and use Euler’s formula:
F+V=E+2.
Represent front, side and top view of 3D shapes to
scale.
Extend knowledge of term-to-term rules and generate
more complex numerical sequences.
Use knowledge of term-to-term rules and generate
sequences from spatial patterns.
Extend knowledge of nth term rules.
Extend knowledge of function machines.
10
Percentages
224-234
 Percentage increases
and decreases.
 Using a multiplier.
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Write change in value as a percentage.
Increase or decrease a value by a given percentage.
Use a multiplier to increase or decrease a value by a
given percentage.
11
Graphs
235-255
 Functions.
 Plotting graphs.
 Gradient and intercept.
 Interpreting graphs.
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Representing situation in words with functions of the
form y=mx+c.
Constructing table of values for a function and using it
to plot a graph.
Plotting graphs of y=mx+c.
Interpreting the values of m and c.
Interpreting real-life graphs with several components.
 Simplifying ratios.
 Sharing in a ratio.
 Ratio and proportion.
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Spring 2
12
Ratio and
proportion
257-274
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Geometry
measures
Use equivalence to simplify and compare ratios.
Share an amount into a given ratio with two or more
parts.
Understand and use the relationship between ratio
and direct proportion.
Algebra
Number
Algebra;
statistics and
probability
Number
13
Probability
Summer 1
14
Position and
transformation
15
Distance, area
and volume
275-288
290-330
331-351
Summer 2
16
Interpreting
and discussing
results
353-387
 Calculating
probabilities.
 Experimental and
theoretical
probabilities.
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 Bearings
 The midpoint of a line
segment.
 Translating 2D shapes.
 Reflecting shapes.
 Rotating shapes
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 Converting between
miles and kilometres.
 The area of a
parallelogram and
trapezium.
 Calculating the volume
of triangular prisms.
 Calculating the surface
area of triangular
prisms and pyramids.
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 Interpreting and
drawing frequency
diagrams.
 Time series graphs.
 Stem-and-leaf
diagrams.
 Pie charts.
 Representing data.
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Calculate the probability of an event by first finding
the probability of the complementary event, or by
listing all the possible outcomes in a systematic way.
Compare the results of an experiment to estimate
probabilities obtained from equally likely outcomes.
Statistics
and
probability
Understand and use bearings.
Use coordinates to find the midpoint of a line
segment.
Translate points and 2D shapes using vectors.
Reflect 2D shapes and points in a given mirror line.
Identify a reflection and its mirror line.
To be able to relate shapes and describe rotations on a
coordinate grid.
Statistics
and
probability
Know that distance cane be measured in miles or
kilometres, and that 1 mile = 1.6 kilometres.
Derive and use the formulae for the area of
parallelograms and trapezia.
Derive and use the formula for the volume of a
triangular prism.
Calculate the surface area of cubes, cuboids, triangular
prisms and pyramids.
Geometry
and
measure
Record, organise and represent categorical, discrete
and continuous data.
Use time series graphs to record, organise and
represent discrete and continuous data.
Use stem-and-leaf diagrams to record, organise and
represent discrete and continuous data.
Record, organise and represent categorical, discrete
and continuous data.
Choose and explain which representation to use in a
given situation.
Statistics
and
probability