Maths

YEAR 7

 

7 (1) Book

7 (2) Book

Unit 1

N/A

Ch. 3 Number Patterns

Ch. 9 Algebra (Introduction)

Ch. 3 Number Patterns

Ch. 9 Algebra (Introduction)

Unit 2

N/SS

Ch. 15 Fractions (small parts)

Ch. 10 Angles

Ch. 15 Fractions (small parts)

Ch. 10 Angles

Unit 3

N/A

Ch. 4 Arithmetic

Ch.13 Algebra (equations)

Ch. 4 Arithmetic

Ch.13 Algebra (equations)

Unit 4

N/SS

Ch. 6 Decimals

Ch. 14 Area (rectangles, triangles and compound shapes)

Ch. 6 Decimals

Ch. 14 Area (rectangles, triangles and compound shapes)

Unit 5

N/DH

Ch. 11 Negative numbers

Ch. 8 Probability

Ch. 11 Negative numbers

Ch. 8 Probability

Unit 6

SS/DH

Ch. 5 Shapes

Ch. 16 Statistics

Ch. 5 Shapes

Ch. 16 Statistics

Unit 7

SS/SS

Ch. 12 Units of length

Ch. 7 3D work

Ch. 12 Units of length

Ch. 7 3D work

Unit 8

SS/DH

Ch. 2 Symmetry

Ch. 1 Statistics

Ch. 2 Symmetry

Ch. 1 Statistics

YEAR 8

 

8 (1) Book

8 (2) Book

8 (3) Book

Unit 1

N/A

Ch. 9 Percentages and Fractions

Ch. 4 Algebra

Ch. 9 Percentages and Fractions

Ch. 4 Algebra

Ch. 9 Percentages and Fractions

Ch. 4 Algebra

Unit 2

N/SS

Ch. 6 Negative numbers

Ch. 7 Angles

Ch. 6 Negative numbers

Ch. 7 Angles

Ch. 6 Negative numbers

Ch. 7 Angles

Unit 3

N/A

Ch. 11 Ratio

Ch. 15 Algebra

Ch. 11 Ratio

Ch. 15 Algebra

Ch. 11 Ratio

Ch. 15 Algebra

Unit 4

N/SS

Ch. 2 Powers and roots

Ch. 12 Area

Ch. 2 Powers and roots

Ch. 12 Area

Ch. 2 Powers and roots

Ch. 12 Area

Unit 5

DH/A

Ch. 3 Statistics

Ch. 10 Straight lines

Ch. 3 Statistics

Ch. 10 Straight lines

Ch. 3 Statistics

Ch. 10 Straight lines

Unit 6

DH/A

Ch. 13 Statistics

Ch. 16 Linear graphs

Ch. 13 Statistics

Ch. 16 Linear graphs

Ch. 13 Statistics

Ch. 16 Linear graphs

Unit 7

SS/A

Ch. 5 Transformations

Ch. 1 Graphs

Ch. 5 Transformations

Ch. 1 Graphs

Ch. 5 Transformations

Ch. 1 Graphs

Unit 8SS/HD

Ch. 14 Volume

Ch. 8 Probability

Ch. 14 Volume

Ch. 8 Probability

Ch. 14 Volume

Ch. 8 Probability

YEAR 9

 

9 (1) Book

9 (2) Book

9 (3) Book

Unit 1

Ch. 1 Area

Ch. 2 Number

Ch. 3 Circles

Ch. 4 Statistics

Ch. 1 Pythagoras

Ch. 10 Trigonometry

Unit 2

Ch. 3 Symmetry

Ch. 4 Statistics

Ch. 6 Volume

Ch. 7 Number revision

Ch. 3 Circles

Ch. 4 Statistics

Unit 3

Ch. 5 Estimation

Ch. 6 Volume

Ch. 12 Decimals

Ch. 9 Statistics

Ch. 5 Accuracy

Ch. 2 Formulas

Unit 4

Ch. 7 Decimals

Ch. 8 Algebra

Ch. 2 Formulas

Ch. 10 Probability

Ch. 8 Brackets and rearranging formulas

Ch. 6 Volume

Unit 5

Ch. 9 Time

Ch. 10 Negative numbers

Ch. 13 Angles

Ch. 1 Pythagoras

Ch. 7 Number

Ch. 9 Statistics

Unit 6

Ch. 11 Statistics

Ch. 12 Angles

Ch. 16 Shapes

Ch. 8 Algebra

Ch. 11 Probability

Ch. 12 Loci

Unit 7

Ch. 13 Formulas

Ch. 14 Fractions

Ch. 11 Algebra

Ch. 14 Algebra

Ch. 13 Algebra

Ch. 15 Transformations

Unit 8

Ch. 15 Probability

Ch. 16 Percentages

Ch. 5 Accuracy

Ch. 15 Loci

Ch. 14 Graphs

Ch. 15 Shapes

YEAR 10 Higher Tier GCSE

Unit 2 – Non-calculator (30%)

Number

  • Rounding (decimal places/significant figures)
  • Equivalences (decimals/fractions/ratios/percentages)
  • Directed Number
  • Indices and standard form
  • Four operations (decimals/fractions/negatives)
  • Fraction/percentage of a quantity
  • Percentage/fractional change
  • Products of prime factors, LCM, HCF
  • Real life money problems (bills, VAT, discounts)
  • Reciprocals
  • Rational and irrational numbers
  • Recurring decimals
  • Estimation
  • Surds

Algebra

  • Number patterns and nth term
  • Constructing and interpreting straight line graphs of the form y = ax + b
  • Quadratic and reciprocal graphs
  • Transformation of functions
  • Forming and simplifying expressions
  • Expanding brackets and factorising expressions
  • Changing the subject of a formula
  • Forming and solving linear equations
  • Forming and solving linear inequalities
  • Forming and solving simultaneous equations
  • Inequalities and regions

Geometry and measure

  • Nets of solid shapes
  • Drawing 3D shapes in 2D
  • Properties of quadrilaterals
  • Symmetry
  • Angles
  • Circle theorems
  • Transformations
  • Converting between metric units of length, mass and capacity
  • Tessellations

Statistics

  • Probability

Year 10 Foundation Tier GCSE

Unit 2 Non-calculator (30%)

Number

  • Reading and writing whole numbers in figures and words
  • Rounding to the nearest 10, 100, 1000 etc
  • Rounding to a given number of decimal places /significant figures
  • Equivalent decimals, fractions, percentages and ratios
  • Directed number
  • Number properties (odd, even, factors, multiples, primes)
  • Products of prime factors (including HCF and LCM)
  • Reciprocals
  • Powers and roots
  • Addition, subtraction, multiplication and division of whole numbers, decimals, fractions and negative numbers
  • Finding a fraction / percentage of a quantity
  • Writing one quantity as a fraction / percentage of another
  • Fractional / percentage change
  • Recurring decimals
  • Real life problems (money, timetables, bills)
  • Estimation

Algebra

  • Number patterns and nth term
  • Coordinates and straight line graphs
  • Drawing quadratic curves
  • Simplifying expressions
  • Expanding brackets and factorising expressions
  • Solving simple linear equations and inequalities

Geometry and measure

  • Nets of solid shapes
  • Properties of quadrilaterals
  • Symmetry
  • Angles
  • Transformations
  • Metric conversions

Statistics

  • Probability

Year 11 Higher Tier GCSE

Unit 1 – Mathematics in every day life (30%)

Number

  • Rounding (decimal places/significant figures)
  • Equivalences (decimals/fractions/ratios/percentages)
  • Directed Number
  • Direct and inverse proportion
  • Four operations (decimals/fractions/negatives)
  • Fraction/percentage of a quantity
  • Percentage/fractional change
  • Repeated percentage/fractional change (inc. Compound interest)
  • Real life money problems (bills, foreign exchange, VAT, tax)
  • Finding the original amount
  • Using a calculator
  • Upper and lower bounds

Algebra

  • Real life graphs
  • Formulae

Geometry and measure

  • Use of protractor and compass
  • Scale drawings and bearings
  • Converting units
  • Compound measure
  • Perimeter and area (inc. Circles)
  • Volumes of prisms
  • Volumes of spheres, cones and pyramids
  • Arcs, sectors and segments

Statistics

  • Grouping data
  • Collecting data (inc. Questionnaires)
  • Averages (discrete distributions only)
  • Misleading graphs

Unit 3 – Calculator (40%)

  • Number
  • Ratio
  • Interpreting calculator display

Algebra

  • Travel graphs
  • Velocity-time graphs
  • Substitution
  • Direct and inverse proportion
  • Factorising quadratic expressions
  • Forming and solving quadratic equations
  • Trial and improvement

Geometry and measure

  • Construction of triangles, quadrilaterals and circles
  • Congruent shapes
  • Similar shapes
  • Angles in regular and irregular polyons
  • Pythagoras' Theorem
  • Basic trigonometry
  • Advanced trigonometry (sine/cosine rule)
  • Loci
  • Compound measures (speed, density)
  • Perimeter, area and volume (from Unit 1)

Statistics

  • Cumulative frequency diagrams
  • Scatter graphs
  • Averages and spread
  • Histograms

The WJEC Level 2 Certificate in Additional Mathematics is also offered to the more able and talented pupils in the year group as an additional qualification to the GCSE. This is taught through a course of extra-curricular classes.

YEAR 11 Foundation Tier GCSE

Unit 1 – Mathematics in every day life (30%)

Number

  • Reading and writing whole numbers in figures and words
  • Rounding to the nearest 10, 100, 1000 etc
  • Rounding to a given number of decimal places /significant figures
  • Equivalent decimals, fractions, percentages and ratios
  • Directed number (practical context)
  • Ordering numbers
  • Efficient use of a calculator
  • Order of operations with a calculator
  • Rounding calculator answers to a given number of significant figures
  • Addition, subtraction, multiplication and division of whole numbers, decimals, fractions and negative numbers
  • Finding a fraction / percentage of a quantity
  • Writing one quantity as a fraction / percentage of another
  • Fractional / percentage change
  • Repeated percentage change
  • Real life problems (money, timetables, fuel bills)
  • Simple and compound interest
  • Foreign exchange
  • Degree of accuracy in light of context (e.g. calculator displays for money problems)
  • Rounding answers up / down
  • Error of measurement (including minimum and maximum bounds)

Algebra

  • Real life graphs (including conversion graphs)
  • Substitution into word formulae

Geometry and measure

  • Use of protractor and compass
  • Scale drawings and bearings
  • Metric conversions
  • Metric / imperial conversions
  • Reading scales
  • Compound measures
  • Perimeters and areas of shapes (including circles and composite shapes)
  • Volumes of prisms (including composite solids)

Statistics

  • Sorting and tabulating data
  • Collecting data (inc. Questionnaires)
  • Constructing and interpreting pictograms, bar charts and pie charts for qualitative data
  • Constructing and interpreting vertical line graphs for discrete data
  • Temperature graphs
  • Averages and grouped discrete data including comparing data
  • Misleading graphs

Unit 3 – Calculator (40%)

Number

  • Ratio
  • Money problems
  • Rounding

Algebra

  • Travel graphs
  • Substitution
  • Trial and improvement

Geometry and measure

  • Constructions with protractor and compasses
  • Similar figures
  • Angles in regular and irregular polygons
  • Pythagoras' Theorem
  • Loci
  • Compound measures (speed, density)
  • Perimeter, area and volume

Statistics

  • Sorting data
  • Pictograms, bar chats and pie charts
  • Averages and spread (discrete and continuous data)
  • Scatter graphs