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 ( [email protected]) and the Key Stage 3 Coordinator is Ms Abigail Kingston( [email protected]) 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 ( [email protected])
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