Welcome to the Mathematics Department and thank you for choosing Wimbledon High School. The Maths department is a strong and successful department. Last year 82/94 girls achieved A* in their Edexcel iGCSE Mathematics exam. We also have a popular 6th form with over half the cohort studying A or AS Level Maths Further Maths. Please find attached

details of the calculator we would recommend for each year

setting policy of the Mathematics Department

topics lists for each year which will give you an idea of the topics that the girls have studied.

Details of the textbook we use. Please do look at the topic lists for the previous years of entry as this will guideline as to the material covered to date. We would however ask that you do not work ahead. It will be of no benefit and the girls will be issued with new topic lists for the year 18/19 in September. We review these over the summer term and therefore are different year to year. In year 7 and 8 the textbook referred to is

Year 7 book year 8 book https://www.cgpbooks.co.uk/School/books_ks3_maths_textbook.book_M2NN31 https://www.cgpbooks.co.uk/School/books_ks3_maths_textbook.book_M3NN31 In year 9 10 and 11 the textbook referred to is https://www.cgpbooks.co.uk/School/books-gcse-maths-range.books_edexcel_maths_textbook.book_MHN43 You will be sent an e-copy of the book should you wish to complete any additional work on topics not yet studied at your school

Finally additional websites of use

www.mymaths.co.uk Login: Wimbledon Password: apple14

Mathematics @ Wimbledon High School

Calculators in Mathematics With changes to the Mathematics specification for key stage 4 and 5 we have reviewed our recommended calculator. This is in part due to changes to the syllabus and also changes to what type of functions on calculators the exam boards now permit. Whichever calculator your daughter currently has will provide the basic functions which is perfectly acceptable. However, as their studies advance, the ability to integrate, differentiate and to solve quadratics is essential. Please can we ask that at some point over the coming months you ensure that your daughter has the Casio FX-991ESPlus. If they are thinking about A Level Mathematics at some point in the future they may prefer to purchase the Casio FX991EXClasswizz. This one is expected and essential for use in the A Level Exam and contains many statistical and mechanical functions. Please can we ask that all calculators and lids are labelled. For exam purposes lids are not allowed in examinations rooms. These are expensive items and to avoid them getting lost or mislaid clearly labelling them will enable them to be returned. Promptly.

Setting in Mathematics

Mathematics setting arrangements 2018-2019 . The new academic year in September: Before the start of each new academic year, the Mathematics teachers discuss which set would suit each student. Ensuring that students are placed in the correct set every year is important in supporting the girls towards achieving their potential. The department looks at their performance and progress throughout the year. They consider the following, but not exhaustive list The girls’ :

Ability to problem solve and think ‘outside the box’

Work ethic and attitude throughout the year

Consistency of work and pace of learning

Thinking and questioning skills

Examination results, classwork and homework

Ability to work independently

Ability to thrive in smaller or larger sets

New students arriving in the year group

The department then reviews the girls for each year group and places them into sets from the year group. We do not therefore, talk about students ‘moving down’ or ‘moving up’ The language that we use with the girls is important to ensure they stay confident and focussed on the end result in Year 11. Parents will not be informed at the end of the summer term or the start of the new academic year about classes. Girls will arrive on the first day and will be assigned to their classes. During the year set changes: During the year set movements are slightly different: During the academic year we have a number of whole year assessments. We review the groups and the performance of every girl taking into account the above criteria along with their assessment. If there is concern about your daughters’ progress (she may be finding the work too difficult or, alternatively, the pace too slow) the Key Stage coordinator will make any necessary moves or may contact you regarding any potential changes in the future. We try not to make too many in year set moves so that girls do not ‘bounce’ between sets. If we make a set change it is with good academic reasons so that the girls can continue to strive towards achieving their potential. There are also a limited number of places in each class so that we can try to ensure that all students have the opportunity to have smaller classes where appropriate, but that they are also not so large that students cannot receive the 1-1 attention that some of them need. The Key Stage 4 Coordinator is Mrs Sally Reeves ( sally.reeves@wim.gdst.net) and the Key Stage 3 Coordinator is Ms Abigail Kingston( Abigail.kingston@wim.gdst.net) New students. All new students will have sat an occasional entrance examination. On the basis of this we assign them to a group for an initial period. We monitor the girls closely ensuring that they have appropriate resources to address any gaps in their knowledge. We then wait until the next whole year assessment to see how they perform before making any changes. From experience this has been the best way to ensure that new students remain confident and ready for the challenge that

Wimbledon High School offers. All students are entered for the same exam at the end of year 11, Edexcel iGSCE in Mathematics. They all follow the same scheme of work and they all complete the same assessments throughout the 5 years. The difference maybe that some girls can cope better with a slightly faster pace and some girls may need additional extension or consolidation material. If you feel you need more clarification regarding your daughter’s progress and any set movements after first contacting her subject teacher then please do feel free to contact the Head Of Department Mrs Helena Rees ( helena.rees@wim.gdst.net)

Year 7 2017-18 Maths Topic list

Unit Topic Learning objectives CGP

Textbook MW Clips

Ad

dit

ive

Rea

son

ing

Standard form Convert between standard index form and ordinary numbers 1 – 7 41 – 43

N1a-c, N17a-b, N45a-b

Rounding numbers Round to a number of decimal places or significant figures

Estimate a calculation using rounding

26 – 33 N27a-b, N38, N43a-b

Adding and subtracting Add and subtract large numbers, negatives and decimals 15 – 17 N13a-b, N19a

Forming and simplifying expressions

Know the difference between term, expression and equation

Form expressions using given information

Simplify an expression by collecting like terms

119 – 122 A6

Perimeter of shapes Know rules for finding the perimeter of squares, rectangles and regular shapes

Find the perimeter of any given shape when the lengths of the sides are given and by measuring the different sides

192 – 193 G8a-b

Mu

ltip

licat

ive

re

aso

nin

g

Multiplying and dividing

Multiply and divide large numbers, negatives and decimals

Follow BIDMAS for calculations

8 – 25 N6, N15a-b, N19b, N28a-b

Area of shapes Know how to find the area of squares, rectangles, triangles, parallelograms, trapezia and composite shapes

Find the circumference and area of a circle

Given the area of a shape, find a missing length

193 – 204 G20a-d, G22b, G24

The mean Calculate the mean from a list of numbers

Calculate the mean from a frequency table

259 – 261 264 – 265

S7, S10a

Enlargements Enlarge a shape using a positive scale factor and a centre of enlargement

Find the scale factor and centre of enlargement for an enlargement

222 – 224 G28

Pro

bab

ility

Calculating probabilities Know the probability scale

Calculate the probability of an outcome happening

Calculate the probability of an outcome NOT happening

Find the probability that either outcome A OR B happens

225 – 226 230 – 232

P1, 59

Venn diagrams and sets Sort data into Venn diagrams and List sets

Know basic set notation (A, A’, n(A) and subset)

Calculate probabilities using a Venn diagram

236 – 239 P6

Cat

ego

risi

ng

Nu

mb

ers

Factors and multiples Know divisibility rules

Find factors and multiples of a number

Find the HCF of a pair of numbers by listing their factors

Find the LCM of a pair of numbers by listing their multiples

44 – 51 N6, N10, N11

Indices Know what prime, square and cube numbers are

Know what square and cube roots are

Know the rule for multiplying indices

34 – 40 52 – 53

N30a, N25

HCF and LCM Write a number as a product of its prime factors 54 – 56 N30b, N31a-b

Use prime factorisation or the Indian method to find the HCF and LCM of a pair of numbers

Alg

ebra

ic F

luen

cy Laws of indices Know how to multiply and divide indices

Know the rule for when the power is zero or one

A7a-b

Expanding brackets and factorising

Expand single brackets and simplify expressions involving brackets

Factorise an expression to a single bracket

123 – 126 A8, A9

Substitution Be able to substitute integers, decimals and negative numbers into expressions and formulae

134 – 139 A10

Exp

lori

ng

Frac

tio

ns

Equivalent fractions Write equivalent fractions

Fully simplify fractions

Know what a reciprocal is

Convert between mixed numbers and improper fractions

60 – 62 N23b-c, N35

Median Find the median from a list of numbers

Find the median from a frequency table

257 – 258 263

N2a-b, N34, 56

Adding and subtracting Add and subtract fractions, including mixed numbers

Add and subtract simple algebraic fractions

Substitution with fractions

57 – 59 N36

An

gles

Describing angles Know what acute, obtuse, reflex and right-angle mean

Measure and draw angles using a protractor

G10a-c

Angle rules Know and use the rules: angles on a straight line, angles at a point and vertically opposite angles

Know properties of different triangles and quadrilaterals

Know and use the sum of angles in a triangle and in a quadrilateral

Know and use parallel line angle rules

166 – 171 174 – 180

G13, G14, G16, G17,

G18

De

scri

bin

g 2

D S

pac

e

Solving equations Solve equations with the unknown on one side

Form and solve equations based on angle or perimeter/area problems

129 – 133 A12, A17, A19a

Transformations State the order of rotational symmetry for a shape

Draw in lines of symmetry for a shape

Reflect a shape on a grid in a given line

Translate a shape using a vector

Rotate an object using a given angle and centre of rotation

172 – 173 213 – 221

G3, G4a-b, G5, G6, G7

Construction Construct triangles (SSS, ASA and SAS) 190 – 191 47, 147

Frac

tio

ns,

Pe

rcen

tage

s

and

De

cim

als

Converting between FDP

Convert between percentages, fractions and decimals (with and without a calculator)

Convert simple recurring decimals to fractions and vice versa

68 – 78

N32, 177

Multiplying and dividing fractions

Find a fraction of a quantity

Multiply and divide fractions (including mixed numbers)

63 – 67 N37a-b, N42a-b

Percentage of a quantity

Find a percentage of a quantity without a calculator

Find the whole given part, e.g. 40% is 10, what is the whole?

Increase/decrease an amount by a percentage

Find the percentage change and simple interest

79 – 81 102 – 103

N24b, R7, R9a

Pro

po

r

tio

nal

R

e

aso

nin g

Representing data Draw and interpret pictograms, bar charts, line graphs, stem and leaf diagrams and pie charts

240 – 248 266 – 270

S1a-b, S2a-b, S9, 128b

Averages and range Find the mean, median, mode and range from a list of numbers, charts & graphs and frequency tables

255 – 265 S6, S7, S10a

Year 8 2017-18 Maths Topic list

Topic Learning objectives CGP

Textbook MW Clips

Sequences Recognise arithmetic, geometric and other special sequences and be able to find the next term in a sequence

Find the nth term of an arithmetic sequence

Generate terms of a sequence given the nth term

128 – 135 A11a, A11c, A22

Scatter graphs Plot scatter graphs

Draw lines of best fit

Interpret relationships and correlations

229 – 238 S8

Indices, roots and surds

Use index notation for integer powers

Know and apply the laws of indices

Know negative and fractional powers

Roots

Recognise and simplify surds

Multiply and divide surds

27 – 38 N25, 29, 82, 154, 188

Algebraic expressions Simplify algebraic expressions by collecting like terms

Expand single and double brackets and simplify expressions with brackets

Factorise expressions into single brackets

102 – 109

A6, A8, A9, 134b

Probability Calculate experimental and theoretical probabilities

Calculate the probability of an event NOT happening

Find the expected frequency of an event occurring

Use sample space diagrams for two events

Draw and use two-way tables

Draw and interpret Venn diagrams

Use set notation (intersection, union and complement)

217 – 228 P5, 59, 125

Formulae Write formulae for situations

Substitute values in a range of formulae

Change the subject of a formula

121-127 A3, A13a, A13b, 95,

137

Solving equations Solve equations, including equations with brackets and fractions

Solve equations with unknowns on both sides

112-120 A12, 135a

Pythagoras Calculate missing lengths of a triangle using Pythagoras’ Theorem

Solve problems using Pythagoras’ theorem

204-213 G30

Angles and shapes Recall properties of polygons

Know angle facts (straight line, at a point, vertically opposite) and rules for angles in parallel lines

Find and use the sum of interior angles of a polygon

Know and use the sum of exterior angles of a polygon

156-165 G13, G14, G16, G17, G18, G19

Find missing angles in a given polygon

Form and solve equations using angle facts

Comparing data Compare sets of data using averages and range

Find the median, mode, mean and range from discrete and continuous frequency tables

239-247

S6, S7, S10a, S10b

Construction and loci Construct triangles with ruler, protractor and pair of compasses (SSS, ASA and SAS)

Draw the following constructions: ‒ Perpendicular bisector of a line segment ‒ Perpendicular from a point to a line ‒ Perpendicular from a point on a line ‒ Bisector of an angle

Draw and describe the locus of a point

Locus equidistant from two lines and two points

166-174 G26a, G26b, G26c, G27

Percentage change Find a percentage increase or decrease without a calculator

Find a percentage increase or decrease using a multiplier

Find the percentage change

Calculations involving simple interest

Solve problems involving percentages, ratio and fractions

80-86 R7, R9a, R9b

Straight line graphs Draw straight line and quadratic graphs by plotting coordinates from a table

Calculate the gradient of a line

Recognise the y-intercept

Find the equation of a straight line

Interpret real-life graphs

Solve equations using a graph

136 – 148 A14a, A14b, A14c, A15,

A21b

Bearings and scale drawings

Draw and use three figure bearings

Make scale drawings to solve problems

175-176 G15, 124

Transformations Enlarge a shape by a given scale factor and centre of enlargement (including negative and fractional scale factors)

Do a combination of transformations

194 – 203 G28, G34

Inequalities Show inequalities on a number line

State integer solutions to an inequality

Solve inequalities

117-120 A20a, A20b

Volume Calculate and use the volume of a cuboid and prisms

Calculate and use the volume of a cylinder

Calculate the surface area of 3D shapes

177-193 G21a, G21b, G25a, G25b

Year 9 2017-2018 IGCSE Maths topic list

Topic Learning objective

CGP Book

Volume o Calculate and use the volume of a cuboid and prisms o Calculate and use the volume of a cylinder

286-288

Algebraic Products o Expand and simplify triple brackets o Factorise into double brackets o Solve problems using algebra

55 - 58, 63

Similar & Congruent Shapes

o Identify and use similar shapes o Identify and use congruent shapes

313-314

Ratio and Proportion o Solve problems involving ratio o Set up and use problems involving direct and inverse

proportion

35-39

Standard form o Write numbers in standard form o Order numbers given in standard form o Calculations & problems in standard form

71-73

Changing the subject of a formula

o Change the subject of formula where the unknown occurs once

80-81

Cumulative frequency & Box Plots

o construct cumulative frequency diagrams from tabulated data

o use cumulative frequency diagrams to estimate quartiles

o summarise data in a box plot

347-349

Straight Line Graphs o Find parallel and perpendicular lines o Find the equation of a line joining two points o Be able to find the midpoint of a line o Calculate the length of line segment

129-139

Estimation o Round to a given number of significant figures o Estimate calculations using rounding to 1 s.f

12-14

Compound measure o Use compound units: speed, density, pressure and unit pricing to solve real life problems

228-230

Probability & probability trees

o Understand relative frequency & diagrams o Understand expected frequency o Understand independent & mutually exclusive o Understand and use theoretical probability o Construct and use a tree diagram

363-371

Trigonometry o Find missing sides and angles using SOH CAH TOA o Use the angle of elevation and depression o Know exact Trigonometric ratios

253-256

Simultaneous Equations

o Solve simultaneous equations through elimination o Solve simultaneous equations through substitution o Solve simultaneous equations graphically o Use simultaneous equations to solve problems

106-107

Quadratic Equations o Solve quadratic equations by factorising o Use quadratic equations to solve problems

98-99

Inequalities o Draw inequalities in two variables on a graph o Identify regions on graphs shaded & not shaded by

inequalities

113-115

o

Year 10 2017-2018 IGCSE Maths topic list

Topic Learning objective

CGP Book

Percentages o Use reverse percentages o Understand repeated percentage change o Solve compound interest problems

44-50

Circle Theorems o Understand and use angle properties of the circle:

Angle at the centre

Angle on a diameter

Angles in the same segment

Opposite angles of a cyclic quadrilateral

216-220

Algebraic fractions and Equations with

fractions

o Simplify simple fractions by cancelling o Simplify using all 4 rules o Solve simple equations with fractions with numbers and

unknowns in the denominator

59-60 62

84-85

Upper and lower bounds

o Identify upper and lower bounds o Solve problems using upper and lower bounds

14-16

Change the subject of a formula

o Manipulate formulae to change the subject where the subject appears twice

80-81

Algebraic Proof o Use algebra to support and construct proofs

Similar Shapes o Calculate missing lengths in shapes 314-316

Real Life Graphs o Interpret and draw distance-time, velocity-time graphs o Calculate & interpret gradient of linear or non-linear

graphs

231-236

Quadratics o Factorise and solve quadratics with coefficient of x2 ≠ 1 55, 95

Quadratic graphs o Plot and recognise shape of quadratic graphs o Use graphs to solve a quadratic equation

140-142 162-163

Sequences o Recognise important sequences o Recognise & use arithmetic sequences o Recognise & use geometric progressions o Recognise & use quadratic sequences

123-126

Sets o Use Venn diagrams to represent sets & the number of elements in a set

o Use notation for the number of elements in a set o Identifying sets by shading o Use sets to solve problems including probability

190-194

Recurring Decimals o Recognise terminating & recurring decimals 26-27

o Convert recurring decimals into fractions

Direct and inverse proportion

o Set up & use equations to solve problems involving direct or inverse proportion

o Relate algebraic solutions to graphical representation of the equations

33-36 92-97

Curved Graphs o Plot & recognise cubic, reciprocal, exponential graphs o Trig graphs and trig values for obtuse angles

142-148 261-263

Negative and fractional indices

o Use index notation for negative & fractional indices 68-70

Arcs and sectors o Find perimeters and areas of sectors of circles 281-282

Sine & cosine rules o Use the sine and cosine rules for any triangle o Use the formula ½absin C for any triangle

257-260

Year 11 2017-2018 IGCSE Maths topic list

Topic Learning objective

CGP Book

Volume & Surface Area of shapes

find the surface area and volume of a pyramid, sphere and a right circular cone using relevant formulae

291-296

Irrational numbers and surds

understand difference between irrational & rational

understand the meaning of surds manipulate surds, including rationalising the denominator

73-76

Quadratic equations

solve quadratic equations by completing the square

solve quadratic equations by using the quadratic formula

form and solve quadratic equations

100-105 165

Calculus understand the concept of a variable rate of change

differentiate integer powers of x

determine gradients, rates of change, turning points

relate turning points to the general shape of the graph

175-180

Algebraic fractions manipulate harder algebraic fractions

solving equations containing fractions

59-62, 84-85

Circle Theorems understand chord and tangent properties of circles

understand and use the internal and external intersecting chord properties

220-223

Solving simultaneous

equations

solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic

108-109

Solving equations graphically

solving quadratic equations graphically

find the intersection points of two graphs, one linear and one non-linear

recognise the link between intersection of graphs and solutions of an equation

163-164

Similar Shapes – area and volume

scale factor

understand the relationship between areas &volumes of similar figures

use areas and volumes of similar figures in solving problems

convert measurements within the metric system to include linear, area and volume units

317-319 224-225

Functions understand the concept of a function

use function notation

understand the terms domain and range and which values may need to be excluded from the domain

understand and find the composite and inverse functions

168-174

Transformations of Graphs

perform &identify transformations of graphs

understand the relationship between transformations, the equation and the function form of the graph

trig values for obtuse angles

151-154 261-263

Quadratic inequalities

solve quadratic inequalities in one unknown and represent the solution set on a number line

111-112

Vectors understand that a vector has both magnitude & direction

understand and use vector notation

multiply vectors by scalar quantities

add and subtract vectors

calculate the modulus (magnitude) of a vector

find the resultant of two or more vectors

apply vector methods for simple geometrical proofs

268-275

Histograms construct and interpret histograms 344-346

Motion of a particle

apply calculus to linear kinematics and to other simple practical problems

180-182

3D trig apply trigonometrical methods to solve problems in 3D 264-267

REVISION