Order of Teaching

Term

Topic

Estimated Time (hrs)

Content

Reference Chapters

Autumn Year 9

UNIT 1: Number, powers, decimals, HCF and LCM, roots and rounding

Total: 24 hrs

+, -, , positive and negative numbers; integers and place value; +, -, , decimals, rounding to decimal places and significant figures; BIDMAS; estimation; powers and roots; factors, multiples and primes; laws of indices; using a calculator

MyMaths(F) 1, 2, 13

HM(F) 1, 3, 6, 7

Edexcel(F) 1, 4, 6, 20, 28

UNIT 2: Expressions, substituting into simple formulae, expanding and factorising

Total: 21 hrs

Algebra: the basics collecting like terms, simplifying expressions; expanding and factorising single brackets; expressions and substitution into formulae; equivalent expressions; identities

MyMaths(F) 2, 6

HM(F) 7

Edexcel(F) 8

Spring Year 9

UNIT 3: Drawing and interpreting graphs, tables and charts

Total: 14 hrs

Time and timetables; two-way tables; grouped and ungrouped frequency tables; coordinates; produce and interpret statistical diagrams: pictograms, bar charts, pie charts, line graphs, histograms (equal class intervals), stem and leaf diagrams; scatter graphs: correlation and lines of best fit; use a line of best fit to make predictions; produce and interpret time series graphs

MyMaths(F) 4, 16

HM(F) 19, 20, 21

HM(H) 21

Edexcel(F) 14

UNIT 4: Fractions and percentages

Total: 11 hrs

Fractions, +, -, , fractions and mixed numbers; convert between and compare fractions, decimals and percentages; recurring decimals; percentages; multipliers; profit and loss; VAT; simple interest; percentage increase and decrease

MyMaths(F) 5

HM(F) 4, 5

Edexcel(F) 4, 13

UNIT 5: Equations, inequalities and sequences

Total: 11 hrs

Solving equations including with unknown on both sides, problems involving brackets, negative and fraction solutions; rearranging equations; substitution; approximate solutions from graphs, inequalities representing on a number line, solving; sequence nth term, position to term and term to term rules; solve double inequalities; nth term of a quadratic sequence; geometric sequences

MyMaths(F) 6, 10, 12

HM(F) 8, 9

Edexcel(F) 10, 19

Summer Year 9

UNIT 6: Angles, polygons and parallel lines

Total: 14 hrs

Measuring and drawing angles; labelling sides and angles; parallel and perpendicular lines; angle facts; properties of polygons; interior and exterior angles of polygons; properties of isosceles and equilateral triangles; congruent shapes

MyMaths(F) 3

HM(F) 13

Edexcel(F) 3, 5, 11

UNIT 7: Averages and range, sampling, collecting data, analysing data

Total: 9 hrs

Primary and secondary data; bias; statistics; the averages and range; frequency tables; comparing distributions; types of data; sampling

MyMaths(F) 4, 16

HM(F) 19, 20, 21

Edexcel(F) 2, 18

UNIT 8: Perimeter, area and volume I

Total: 14 hrs

Scales; metric units and imperial units; time; estimate ranges of measure; perimeter and area including trapeziums and compound shapes; 3D forms; surface areas of prisms and volume; metric measures and capacity

MyMaths(F) 7, 15

HM(F) 14

Edexcel(F) 9, 25

Autumn Year 10

UNIT 9: Real-life and algebraic linear graphs

Total: 16 hrs

Coordinates; midpoints; draw real-life graphs; draw and interpret distance-time and velocity-time graphs; plot and draw straight line graphs in the form y = mx + c and ax + by = c; gradient and y-intercept from equation and graphs; approximate solutions from a graph; rates of change

MyMaths(F) 14, 18

HM(F) 10, 12

Edexcel(F) 12, 15

UNIT 10: Transformations Total: 15 hrs

Describe transformations fully and correctly transform shapes using the criteria: Rotation centre, angle and direction; Translation using a vector; Reflection equation of mirror line, line of symmetry; Enlargement using a centre and a scale factor (positive integer or fractional), find the centre; similar shapes and congruence; combinations of transformations

MyMaths(F) 3, 7

HM(F) 17

Edexcel(F) 5, 26

UNIT 11: Ratio and Proportion

Total: 13 hrs

Simplify ratios; sharing in a ratio; problem solving; scale diagrams; measure and currencies; comparing ratios; writing a ratio as a fraction or in the form 1:m or m:1; direct and indirect proportion; best buy; recipes; proportion graphs

MyMaths(F) 12, 22

HM(F) 1, 2

Edexcel(F) 17, 24, 34

Spring Year 10

UNIT 12: Right-angled triangles

Total: 8 hrs

Pythagoras Theorem in 2D incl answers in surd form; finding any length of a right-angled triangle; length of a line segment; trigonometric ratios; finding missing angles or lengths; angles of depression and elevation; rounding appropriately; exact values of specified values of

MyMaths(F) 9, 19

HM(F) 16

HM(H) 16, 17

Edexcel(F) 31

Edexcel(H) 19

UNIT 13: Probability

Total: 19 hrs

Probability scales; probability as a fraction, decimal or percentage; list all possible outcomes; probabilities from tables; find missing probabilities from a list or table; relative frequency; expected outcomes; sample space diagrams; Venn diagrams; experimental vs theoretical probability; successive outcomes; tree diagrams; and independent and dependent events.

MyMaths(F) 8, 20

HM(F) 22

HM(H) 22

Edexcel(F) 23

Edexcel(H) 24

UNIT 14: Multiplicative reasoning

Total: 9 hrs

Multiplicative reasoning : more percentage percentage profit or loss, repeated percentage change, find original amount, compound interest; rates of change; compound measures including density, pressure and speed; convert between metric speed measures; calculate average speed, distance, time; use kinematics formulae; growth and decay problems; direct and inverse proportion

MyMaths(F) 12, 22

HM(F) 5, 11

HM(H) 3, 24

Edexcel(F) 16, 17, 21

Edexcel(H) 12, 20, 25, 34

Summer Year 10

UNIT 15: Constructions: triangles, nets, plan and elevation, loci, scale drawings and bearings

Total: 18 hrs

Draw circles and arcs; measure and draw lines and angles accurately; 3D shapes; planes of symmetry; plans and elevations; accurate drawings of 2D shapes; congruent shapes; constructions; maps and scales; bearings; loci

MyMaths(F)7, 11, 12

HM(F) 2, 13, 17, 18

HM(H) 14, 18, 30

Edexcel(F) 25, 29

Edexcel(H) 14, 18, 30

UNIT 16: Algebra: quadratic equations and graphs

Total: 10 hrs

Quadratic equations - expanding and factorising; graphs and lines of symmetry; approximate solutions; real-life problems; roots, intercepts and turning points; factorising including the difference of two squares; solving quadratic equations

MyMaths(F) 6, 10, 18

HM(F) 7, 8, 10

HM(H) 5, 28

Edexcel(F) 15, 27

UNIT 17: Perimeter, area and volume 2: circles, cylinders, cones and spheres

Total: 8 hrs

Parts of a circle; area and circumference of a circle; find the radius or diameter given area or perimeter; area and perimeter of pars of circles and composite shapes; write answers in terms of ; arc lengths and areas of sectors; surface area and volume of cylinders, spheres, pyramids and cones

MyMaths(F) 1, 11, 15

HM(F) 14, 15

HM(H) 13, 18

Edexcel(F) 22, 25

Autumn Year 11

UNIT 18: More fractions, reciprocals, standard form, zero and negative indices Total: 17 hrs

+, -, , mixed numbers; find the reciprocal of integers, decimals and fractions; powers of zero; convert between ordinary numbers and standard form; +, -, , numbers in standard form; standard form using a calculator; index laws

MyMaths(F) 5, 17

HM(F) 4, 6

HM(H) 2, 4, 5

Edexcel(F) 13

UNIT 19: Congruence, similarity and vectors

Total: 21 hrs

Similarity and congruence in 2D; scale factor of enlargement and the relationship with length; vector notation; congruence criteria for triangles; similar shapes; parallel vectors; sum and difference of vectors; scalar multiple of vectors

MyMaths(F) 3, 7

HM(F) 2, 13, 17

HM(H) 14, 15, 29

Edexcel(F) 5, 26

UNIT 20: Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations

Total: 8 hrs

Change the subject involving squares and roots; sketch simple cubic and reciprocal functions; inverse proportion from graphs; solve simultaneous equations algebraically and graphically

MyMaths(F) 6, 10

HM(F) 10

HM(H) 5, 6, 7, 8, 11, 24, 28, 30

Text Book Key

MyMaths - Edexcel GCSE Maths, publisher: Oxford University Press

HM GCSE Mathematics for Edexcel, publisher: Hodder Murray

Edexcel Edexcel GCSE Mathematics, publisher: Edexcel