# Year 9 (updated October 2003) (DOC, 136 KB)

```
Autumn term: first half
Year 9 Scheme of Work
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Adding and subtracting 10,100,1000 mentally 3G ex 1D
 Add and subtract common fraction verbally
 Rounding verbally 3G Ex 1E
 Guess the missing number discuss strategies
Year 9 Framework
DD
Periods Topic
Objectives: pupils will be taught to
NNS
3G FOUNDATION
5hrs Algebra
5hrs Shape and
Space
5hrs Handling
Data
F – Rounding, addition and subtraction, pen and paper
methods
 Extend knowledge of powers of 10 number skills
H only - begin to use Standard Form
 Add subtract, multiply and divide fractions
 Use rounding to make estimates, round to nearest
whole number and to 1, 2 or 3 decimals places
H only - round to Significant Figures
 Understand and use upper and lower bounds
F –Positive and negative numbers
Collecting like terms, simplifying equations
Writing own formula
 Construct and solve linear expressions, with and
without brackets, including negative numbers,
using an appropriate method
 Factorise and algebraic expressions by taking out a
single term common factor
H only- Square a linear expression and expand the
product of 2 linear expressions of the form : establish
identities.
F – Angles facts including types of angles opposite angles
and angles made by parallel lines, angles in a triangle
36-9
66-9
42-7
EX 1A –1H (select sections, some can be
Completed as verbal or mental exercises)
Ex 4E
Pg 64 Ex 6A
Review + and – of simple fractions
Ex 8A – 8C
Ex 10C – D and 10G
EX 4J, Ex 11E
Ex 13D –13E
DD
3R HIGHER
Ex 16A –16E
Ex 3A – 3C
122-5 Ex 14K
Ex3D –3E
(Ex 14 E – 14H) could be done later in
116-21 scheme
Simple factors worksheet from 3B pg38
------------
Ex 3A-3D
Ex 9A –9G
Pg 92 Ex 5A-5E
Pg Ex 3E
Pg 26-8 Ex 2A-2C
------------
---------------
Pg 31 Ex 2E
Ex 2A –2D, 2F – 2G
Ex 18A
------------
Key objectives in bold
FOUNDATION WORK ONLY
HIGHER WORK ONLY
Pg 171-2 Ex8A-8B
Worksheet
------------
 Review angles facts including interior and exterior
182-3 Worksheet for polygons (ICT task)
angles of a polygon
LOGO Ex18A
 Review parallel line angles
184-9
 Solve angle problems including triangles, polygons,
intersecting and parallel lines
186-9 Ex 2E
H only – Understand and apply Pythagoras Theorem
Ex2H (worksheet for polygons)
Process and interpret graphs and diagrams on paper
256-67 Review Ex 9A – 9C(will be reviewed later)
and using ICT using
 Scatter graphs, with line of best fit
Ex 9G
 Understand correlation
Get pupils to review work for this &frac12; term and set
themselves a target
Pg242 Ex 11B
Pg 1-2 Ex1A Ex 1C
Pg 3-4 Ex 1B
H only – frequency polygons
1hrs Review
Assess
3B INTERMEDIATE
Pg ref
4/9/02
5hrs Number
 Review angle facts, estimate and approximate angles
 Review bar charts etc.
PBM/PDM
 indicates work to be covered again
 indicates work that has been covered before
Ex 2A – 2C could need supplementary
worksheets Logo Ex 17A
------------
Pg 123 Ex6A-6G
Logo Ex 19B
Pg 260 Ex 13A –13C
Pg 195 Ex 9B-9F
Ex 17D
Ex 8D &amp; 8E

Autumn term: second half
Year 9 Scheme of Work
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Common fraction, decimal, percentage equivalents
 Square and cube numbers and their roots
 Find a fraction decimals or percentage of quantity mentally  List the prime number up to 100
Year 9 Framework
DD
Periods
Topic
Objectives: pupils will be taught to
4hrs
4hrs
3hrs
3G FOUNDATION
3B INTERMEDIATE
DD
3R HIGHER
Page ref
25/10/02
6hrs
NNS
 Match percentage decimals and fraction equivalents
 Find the formula from a pattern of results
PBM/PDM
F – Mixed Number, Improper fractions, equivalent
fractions, putting fractions in order of size. Change
fractions to decimals and decimals to fractions.
 Recognise that a recurring decimal is an exact fraction
 Recognise when fractions or percentages are needed
to compare proportions.
 Solve problems involving percentages changes.
 Understand and use ratio and proportion
 Use proportional reasoning to solve problems
H only – understand and use proportionality and
calculate the results of any proportional change
using multiplicative methods
Algebra
 Use index notation for integer powers, know and use
simple index laws
 Derive a formula, substitution in a formula and change
the subject of a simple formula.
H only – derive more complex formula and change the
subject of a formula
Shape and F- only lines points and shapes solids, nets and
Space
tessellation
 Transform 2D shapes by combination of translations,
rotations and reflections on paper and with ICT
 Know that translation, rotation and reflections
preserve length and angle
 Enlarge 2D shapes given centre of enlargement,
recognise that enlargement preserves angle but not
length.
 Understand that scale factor is a ratio of 2
corresponding lengths.
H- enlarge 2 D shapes by a fractional scale factor
Handling  Use the vocabulary of probability in interpreting results
data
involving uncertainty or prediction.
 Identify all mutually exclusive outcomes of an
experiment
 Know that the sum of probability of all mutually
exclusive outcomes is 1 and use this when solving
problems
 Estimate probability from experimental data
H only – understand relative frequency as an estimate of
probability and use this to compare outcomes of
experiments
Review Ex 8 A – 8C then do Ex 8D-8H
Number
------------60-65
75 –7
78-81
Ex 11C –11D
Ex 12A
Ex 12B - 12C
Ex 8J –8K
Ex 8L
Ex 12D
Worksheet for recurring decimals
Ex 14A – 14B
Ex 14 C – 14E
Ex 10H – 10I
Ex 10J – 10K
Pg 247-248 Ex 11E
Pg 174-194 Ex 8C– 8H

-----------114-15 Ex 3F
138-43 Ex 14A- 14D (not changing the subject)
Ex 3F – 3G
Ex 6E↓, Ex 6F – 6H
Worksheet for change the subject
Pg 10-21 Ex1F-1G
Pg 99-4 Ex5G – 5I
138 41
202-07 Ex 7A – 7C
Ex 7D
-----------Ex 7A – 7D
Cabri
Ex 7F – 7G
Logo Ex 17A
212-15
Worksheet based on 3B page 116
--- - --------276-7
------------.
Ex 13A – 13C
277-81 Ex 13E
Pg294-319
Ex 15 A – 15C
Logo Ex 19B
Ex 7E
Review Ex 7F
-----------Ex 11A
Pg 278 –288 Ex 14A-14D
Ex 11B – 11D
Ex 13D
282-3
-----
------------
Pg 289 –293 Ex 14E –14F

1hrs
Review
Assess
Get pupils to review work for this &frac12; term and set
themselves a target
FOUNDATION WORK ONLY
HIGHER WORK ONLY
Key objectives in bold
 indicates work to be covered again
 indicates work that has been covered before

Spring term: first half
Year 9 Scheme of Work
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Review Prime numbers
 Review simple y = mx + c (H only)
 Review and use square numbers
 Name this line, finding the equation of a straight line
Year 9 Framework
Periods Topic
Objectives: pupils will be taught to
NNS
3G FOUNDATION
4hrs Algebra
6hrs Shape and
space
3hrs Handling
Data
3hrs Review
Assess
DD
3B LOWER INTERMEDIATE
3R HIGHER
------------
--------------
Review Ex 6E
Review from board or
worksheet –Ex 19G pg 392
Review Ex 1F and 1G
Pg14 Ex 1H –1J
Use of Calculator Ex 19A
Pg 106-8 Ex5K
Pg ref
6/1/03
2hrs Number
 Review area of a rectangle square ad triangle
 Look at bus timetable, plan a local journey
DD
PBM/PDM
F – Pen and paper methods of multiplication and division
Check accuracy by using inverse operations
 find prime factors
 use ICT to find estimate square and cube roots
H only know and use index laws for multiplication and
division of positive integer powers
Ex 4F – 4I
Ex 4N
52-55 EX 4A - 4D
56-7
Ex 18F Ex 4K – 4M
56-9
 use systematic trial and improvement methods and ICT
as tools to find approximate solution to equations such
as x2 + x = 20
 Understand equivalence of simple algebraic fractions
 Solve problems using direct proportion using algebraic
methods
 Relate equations to graphical representations
H only solve a pair of simultaneous equations graphically
Solve linear inequalities in one variable and represent
solution on a number line
132-5 Do on board as a class exercise or, investigate
using a calculator. Bring in problem solving
skills.
60-65 Worksheet pg 163 Ex 9L in 3B
136-7 board.
126-9 Review of Ex 14A to D - then do Ex 14E- 14G
Review work done in year 8 on graphs of linear
equations then do Ex 18 B using ICT. Ex 14J
Ex 5A – 5F
------------
Pg 116 Ex5P, 5Q and 5R
Use of Calculator Ex 19D
 F- Review units of measurement, use to calculate and
solve variety of problems
 Convert between area measures i.e. cm 2 to m2
H only - use compound measure i.e. speed, to solve
problems
 Know and use the formula for area and
circumference of a circle,
H only – arcs and sectors
 Calculate surface area and volume of right prisms
H only - include cylinders
Begin to use sine cosine and tangent ratios to solve
problems in 2 dimensions.
228-31 Review units of measurement from board as
class exercise then do Ex 15A –15G
---232-3
Review on board
Select questions from
Ex 15A – 15C
Pg 36 Ex 3A 3I- 3J
---------
Pg 58 Ex 3K -.3N
Ex3C and 3E 3G
 Construct and use tables for collection of discrete
and continuous raw data, choosing suitable class
intervals
F – review Pie Charts Citizenship Tasks(2a)
 Design and use two-way tables.
 Gather data from secondary sources, including
printed tables and lists from ICT-based sources.
H only – identifies possible sources of bias and plans
how to eliminate it.
248-55 Review Ex9A –9C then do Ex 9D
End of half year test based on KS 3 SAT’s Test.
Get pupils to review work for this &frac12; term and set
themselves a target
FOUNDATION WORK ONLY
HIGHER WORK ONLY
Key objectives in bold
-----------Ex 9L
Use of calculator Ex 17C
Board exercise only
Pg 28-30 Ex2D
Index law in algebra Ex 2F
Review pg 178 
Review Pg 180Ex 8F
Pg 115 Ex 5O
Not done in foundation unless as class exercise from
Ex 15H – 15K
234-7
Ex 3B Ex 3F Ex 3D
Ex 13D –13E
----------
238-41 Ex 15L-15M
Ex 15F – 15H
use Ex 15H for surface area
242-7
Ex 3H Volume for cylinders
Surface Area Investigation
Pg 342 Ex17A-17C
Pie Charts Ex 9F
Worksheet
Ex 8A – 8B
Conducts a survey
Worksheets
Worksheets
Ex 19F
Ex 9A with in class
discussion.
 indicates work to be covered again
 indicates work that has been covered before

Spring term: second half
Year 9 Scheme of Work
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Rapid recall of number facts/ equivalence of measures
 Find percentage, fraction and decimal of quantities
 Use mental skills to check validity of answers
 Decimals, percentage and fraction equivalence
Year 9 Framework
DD
Periods Topic
Objectives: pupils will be taught to
NNS Pg ref 3G FOUNDATION
6hrs Number
F – Addition and subtraction of decimals
102-3 Ex 11A-11B
Rounding decimals
Review Ex 11D-11E
Multiplying and dividing decimals
Ex11F – 11H
 Review methods of calculation and check validity of
Ex 11I
104-7 Ex 4J and Ex 4N
 Make and justify estimate and approximation of
calculations
H only round using one significant figure in
estimations
Ex1I - 1J
 Efficient use of a calculator, using powers ,roots
fractions , brackets and memory
H only - use of reciprocal key and standard form
3hrs Algebra
 Generate sequences using term to term and
148Ex 10A – 10E
position to term definition of the sequence on paper 159
Ex 18E (ICT)
and using ICT
 find and write an expression to describe the nth
Ex 10F – 10G
term of a sequence
H only – find the nth term of a quadratic sequence
Recognise square and triangular numbers sequences
6hrs Shape and
Space
3hrs Handling
Data
 Understand congruence and similarity
H only – apply conditions SSS, SAS, ASA or RHS to
establish the congruency of triangles. Know that if 2D
shapes are similar corresponding angles are equal
and corresponding sides are in the same ratio.
 Know that if 2D shapes are similar corresponding angles
are equal and corresponding sides are in the same ratio.
 Know the definition of a circle and name its parts.
 Explain why a regular polygon can be inscribed in a
circle by constructing equal divisions
H only – know that the tangent of a point is at right angles
to the radius and that a perpendicular line from the centre
to a chord will bisect the line
 Visualise 3D object through 2 D representation
 Analyse 3D shapes through 2D projections using plans
and elevations
 Use of averages mode, median and mean
 Understand range and distribution
 Compare two or more distributions and make
inferences using the shape and distribution and range
of data (2a)
H only - Estimate the mean, median and interquartile
range of a large set of grouped data.
190-91 EX7E
 Order, precedence and effect of powers
 Review and practice pen and paper methods + - X and 
PBM/PDM
DD
3B LOWER INTERMEDIATE
3R HIGHER
Ex 13I and 13J
Ex 6I –6J
Do as discussion or starter
Ex 1D-1E
Review Ex 1A -worksheet
--------Worksheet or from board
Ex 13G and (Grid method from
board)
Ex 13H
Review - past 3 half- terms work on
powers and roots Ex 11C –11D
Ex 12B – 12D
Pg 320 Ex 16A-16H
Ex 7H – 7I
Pg 305-7 Ex15D-15H
192-3
194-97 Ex 7E Activity 2
Review Year 8 work
Practical Investigation (See SMPB1)
198201
Worksheet
Review Year 8 work
Worksheet
Worksheet or from board
Pg 224 Ex10D – 10E
--Worksheet or from board
Ex 7F
Ex 7J
Ex5A –5D Ex 18D(ICT)
Discussion of above work / worksheet
272-3 EX9C↑
Ex 9E (Histograms)
258-61
Ex 4A, 4D – 4E
Pg 67 Ex4A – 4F

FOUNDATION WORK ONLY
HIGHER WORK ONLY
Get pupils to review work for this &frac12; term and set
themselves a target
Key objectives in bold
 indicates work to be covered again
 indicates work that has been covered before
Summer term: first half
Year 9 Scheme of Work
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Rapid recall of number facts ready for SAT’s
 Review square and cubic numbers and their roots
 Review prime numbers
 Review angle facts
Year 9 Framework
Periods
9hrs
Topic
REVISION
FOR
SAT’S
Objectives: pupils will be taught to
 Review shape and space facts
 Look at strategies for solving investigations
DD
DD
NNS Pg ref
3G FOUNDATION
3B LOWER INTERMEDIATE
3R HIGHER
160-3
Ex 6A - 6B
Ex 18B (ICT) Ex 6C and 6E
---
-------Ex 5B – 5C
Pg 160 Ex 7G
Ex 5D – 5F
PG 149 Ex 7D
DD
PAST SATS MOCK PAPER
SAT’s Revision
SAT’s week
3hrs
3hrs
2 Hrs
Algebra
F - Review co-ordinates
 Generate points and plot the graph of a linear equation
 Find the inverse of a linear function
H only – plot the graph of an inverse linear function
 Given values for m and c, find the gradient and
intercept of lines given by equations in the form of
y = mx + c
Investigate graphs of parallel lines and lines
perpendicular to these lines, plot graphs of simple
Shape and F - Convert metric to imperial measurers
space
 Use and interpret Maps and Scale drawings include
bearings
H only – find point that divide a line in a given ratio, use
the properties of similar triangles
Given the co-ordinates of A and B find the length of AB
144 –77
164-71
Ex 6D
Pg 165 Ex 7I
216-17
Ex7G
Worksheet
---------Ex 2D – 2E
---------
218-19
Review pg 148 Ex 6H Ex 17G
Worksheet
Ex 8E review work done in first term and
extend using worksheets
Prepare for investigation learn skills of how to approach
investigations
Ex 17 A – 17 C
FOUNDATION WORK ONLY
HIGHER WORK ONLY
Key objectives in bold
Get pupils to review work for this &frac12; term and set
themselves a target
Pg 163 Ex7H
Ex 16 A – 16D
 indicates work to be covered again
 indicates work that has been covered before
Ex 18A – 18D


Summer term: second half
Year 9 Scheme of Work
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Mentally work out percentage and fractions o a quantity
 Discuss different methods of solving problems
 Discuss when to use which the different types of average
 Discuss types of data
Year 9 Framework
DD
Period Topic
Objectives: pupils will be taught to
s
NNS
3B LOWER INTERMEDIATE
3R HIGHER
Ch 17 for guidance
Ch 16 for guidance
Ch 18 for guidance
Review of Ex 8B, 8D – 8E
Ex 5G
Pg 154 review Ex7E, then on to 7F
Worksheet
Pg 227 Ex 10E
Pg ref
Yr 9 cross curriculum ICT Investigational task
3hrs Algebra
 construct functions arising from real life problems
and plot their corresponding graphs, interpret
graphs arising from real life situations including
distance time graphs
172-7 Investigate graphs in the Media
 Construct a triangle given right-angle, hypotenuse and
side (RHS)
 Use ICT to explore construction of triangles and other
2D shapes
H only – realise from constructions that triangles
given SSS, SAS,ASA,or RHS are unique but that SSA
or AAA are not.
 Find the locus of a point both by reasoning and ICT
H only - extend to more complex rules involving
construction and loci
 Design a survey or experiment, collect data one or
more source, determine sample size and degree of
accuracy needed, design trial and if necessary
refine data collection sheets
 Line graphs including time series
 Interpret graphs and diagrams and draw inferences to
support or cast doubt on initial conjectures(2a)
H only – look for cause and effect try to explain anomalies
 Communicate interpretations and results of a
statistical enquiry using selected tables graphs and
diagrams in support (2a)
 Compare experimental and theoretical probability in a
range of contexts, appreciate the difference between
mathematical explanation and experimental evidence
H only – examines critically the results of a statistical
enquiry and justifies choice of statistical
representations recognising the limitations of any
assumptions and their effect on conclusions drawn.
H only – generate fuller solutions to mathematics
problems and recognise limitations on the accuracy of
data and measurements
220-23 Worksheet from 3B Ex 2G
6hrs Handling
Data
DD
3G FOUNDATION
6hrs
3hrs Shape and
Space
 Look at strategies for tackling investigations
 Review angle facts
DD
Ex 6F
Cabri
Cabri
‘
Ex 2F – 2G
224-27 Worksheet from 3B Ex 2F
Ex10F
Review Ex 9A- 9B
Review Ex 8A
Complete a survey and display results
Ex 6F
Ex 5G
Pg 154-160 Ex 7E-7F
In class discussion only
In class discussion only
268-71
272-75
284-5 In class discussion only
Key objectives in bold
Get pupils to review work for this &frac12; term and set
themselves a target
FOUNDATION WORK ONLY
HIGHER WORK ONLY
 indicates work to be covered again
 indicates work that has been covered before