Maths Curriculum Plan

Year 7

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

Area & perimeter, sequences, number work including decimals and negatives, introduction to algebra

Expressions and formulae. Fractions, decimals and percentages. Angles in 2 D shapes. Measuring angles, drawing angles, angles in a straight line, angles properties in a triangle.

Co-ordinates, Graphing of straight lines graphs. Problem solving, order of operations and calculator methods.
Data handling, mean, mode, range. Interpreting and drawing charts.

Transformations, Reflections, Rotations, translations.
Solving linear equations, one step and 2 step methods.
Multiples, Factors, LCM and HCF

Constructing triangles.
3D shapes, volume and surface area
Decimal calculations.
Ratio and proportion

Ratio, proportion and probability.

Knowledge & Skills

Use of basic knowledge and extension to problem solving in the topics listed.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 8

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

Numbers and Decimals. Prime numbers, Lowest Common Multiples and Highest Factor. Square roots and Cube roots
Metric measures, Perimeter and Areas of triangles, parallelograms and trapezia
Expressions, collecting like terms, expanding brackets, single and double, use of formulae, indices, substitutions,
Fractions, Decimals and percentages

Angle properties in triangles, quadrilaterals and polygons.
Angles in parallel lines.
Graphing linear functions. Equation of a straight line Graphing simple quadratics as extension.
Real life graphs, conversion graphs.

Distance-Time graphs
Mental Methods for calculations.
Calculations with powers of 10, multiply and divide by powers of 10.
Introduction to standard index form.

Planning, collecting and analysing data.
Drawing pie charts.
Data Analysis using range, mean, median and mode.
Stem and Leaf diagrams. Scatter graphs
Transformations (reflections, rotations, translations, enlargements and combination of transformations as an extension.ding enlargements, multi-step equations, BIDMAS and word problems.

Solving linear equations, equations with brackets.
problem solving, written and calculator methods. Order of operations.
Constructing triangles and scale drawing.
Sequences, term to term, position to term.

Plans and elevations
Volume and surface area of cuboids, and Prisms.
Sequences, nth term (Linear)
Ratios and proportions
Probability

Knowledge & Skills

Use of basic knowledge and extension to problem solving in the topics listed.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 9 – Sets 1 & 2

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

1) Basic Number - 1.1 Solving real-life problems, 1.2 Multiplication and division with decimals  1.3 Approximation of calculations, 1.4 Multiples, factors, prime numbers, powers and roots, 1.5 Prime factors, LCM and HCF, 1.6 Negative numbers

2) Number: Fractions, ratio and proportion - 2.1 One quantity as a fraction of another, 2.2 Adding, subtracting and calculating with fractions, 2.3 Multiplying and dividing fractions, 2.4 Fractions on a calculator, 2.5 Increasing and decreasing quantities by a percentage, 2.6 Expressing one quantity as a percentage of another

3) Statistics: Statistical diagrams and averages - 3.1 Statistical representation, 3.2 Statistical measures, 3.3 Scatter diagrams

4) Number and sequences - 4.1 Patterns in number, 4.2 Number sequences, 4.3 Finding the nth term of a linear sequence, 4.4 Special sequences, 4.5 General rules from given patterns, 4.6 The nth term of a quadratic sequence, 4.7 Finding the nth term for quadratic sequences

5) Ratio, proportion and rates of change: Ratio and proportion - 5.1 Ratio, 5.2 Direct proportion problems, 5.3 Best buys, 5.4 Compound measures, 5.5 Compound interest  and repeated percentage change, 5.6 Reverse percentage (working out the original amount)

6) Geometry and measures: Angles - 6.1 Angle facts, 6.2 Triangles, 6.3 Angles in a polygon, 6.4 Regular polygons, 6.5 Angles in parallel lines, 6.6 Special quadrilaterals, 6.7 Scale drawings and bearings

7) Geometry and measures: Transformations, constructions and loci - 7.1 Congruent triangles, 7.2 Rotational symmetry

7) Geometry and measures: Transformations, constructions and loci  - 7.3 Transformations, 7.4 Combinations of transformations, 7.5 Bisectors, 7.6 Defining a locus, 7.7 Loci problems, 7.8 Plans and elevations

8) Algebra: Algebraic manipulation - 8.1 Basic algebra, 8.2 Factorisation, 8.3 Quadratic expansion, 8.4 Expanding squares, 8.5 More than two binomials, 8.6 Quadratic factorisation, 8.7 Factorising ax2 + bx + c, 8.8 Changing the subject of a formula

9) Geometry and measures: Length, area and volume - 9.1 Circumference and area of a circle, 9.2 Area of a parallelogram, 9.3 Area of a trapezium, 9.4 Sectors, 9.5 Volume of a prism, 9.6 Cylinders, 9.7 Volume of a pyramid, 9.8 Cones, 9.9 Spheres

10) Algebra: Linear Graphs - 10.1 Drawing linear graphs from points, 10.2 Gradient of a line, 10.3 Drawing graphs by gradient-intercept and cover-up methods, 10.4 Finding the equation of a line from its graph, 10.5 Real-life uses for graphs, 10.6 Solving simultaneous equations using graphs, 10.7 Parallel and perpendicular lines

11 Geometry and measures: Right-angled triangles - 11.1 Pythagoras’ theorem, 11.2 Finding the length of the shorter side, 11.3 Applying Pythagoras’ theorem in real-life situations, 11.4 Pythagoras’ theorem and isosceles triangles, 11.5 Pythagoras’ theorem in three dimensions, 11.6 Trigonometric ratios, 11.7 Calculating angles, 11.8 Using the sine and cosine functions, 11.9 Using the tangent function, 11.10 Which ratio to use, 11.11 Solving problems using trigonometry,  11.12 Trigonometry and bearings, 11.13 Trigonometry  and isosceles triangles

12) Geometry and measures: Similarity - 12.1 Similar triangles, 12.2 Areas and volumes of similar shapes

13) Probability: Exploring and applying probability - 13.1 Experimental probability, 13.2 Mutually exclusive events and exhaustive outcomes, 13.3 Expectation, 13.4 Probability and two-way tables, 13.5 Probability and Venn diagrams

14) Number: Powers and standard form - 14.1 Powers (indices), 14.2 Rules for multiplying and dividing powers, 14.3 Standard form

15) Algebra: Equations and inequalities - 15.1 Linear equations, 15.2 Elimination method for simultaneous equations, 15.3 Substitution method for simultaneous equations, 15.4 Balancing coefficients to solve simultaneous equations, 15.5 Using simultaneous equations to solve problems, 15.6 Linear inequalities, 15.7 Graphical inequalities, 15.8 Trial and improvement

16)  Number: Counting, accuracy, powers and surds - 16.1 Rational numbers, reciprocals, terminating and recurring decimals

 

Knowledge & Skills

Students develop their problem solving techniques in the listed topics.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 9 – Set 3

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

1) Number - 1.1 Place value and ordering numbers, 1.3 The four rules, 1.2 Order of operations and BIDMAS.

2) Geometry and measures - 2.1 Systems of measurement, 2.2 Conversion factors, 2.3 Scale drawings ,2.4 Nets, 2.5 Using an isometric grid.

3) Statistics - 3.1 Frequency tables, 3.2 Statistical diagrams, 3.3 Line graphs, 3.4 Statistical averages

4) Geometry and measures - 4.1 Angles facts, 4.2 Triangles, 4.3 Angles in a polygon, 4.4 Regular polygons, 4.5 Angles in parallel lines, 4.6 Special quadrilaterals, 4.7 Bearings.

5) Number - 5.1 Multiples of whole numbers, 5.2 Factors of whole numbers, 5.3 Prime numbers, 5.4 Prime factors, LCM and HCF, 5.5 Square numbers, 5.6 Square roots, 5.7 Basic calculations on a calculator

6) Number - 6.1 Rounding whole numbers, 6.2 Rounding decimals, 6.3 Approximating calculations.

7) Number - 7.1 Calculating with decimals, 7.2 Fractions and reciprocals, 7.3 Writing one quantity as a fraction of another, 7.4 Adding and subtracting fractions, 7.5 Multiplying and dividing fractions, 7.6 Fractions on a calculator.

8) Algebra - 8.1 Graphs and equations, 8.2 Drawing linear graphs by finding points, 8.3 Gradient of a line, 8.4 y = mx + c, 8.5 Finding the equation of a line from its graph, 8.6 The equation of a parallel line, 8.7 Real-life uses of graphs, 8.8 Solving simultaneous equations using graphs.

 

9) Algebra - 9.1 Basic algebra, 9.2 Substitution, 9.3 Expanding brackets, 9.4 Factorisation, 9.5 Quadratic expansion, 9.6 Quadratic factorisation, 9.7 Changing the subject of a formula.

10) Ratio and proportion - 10.1 Ratio, 10.2 Speed, distance and time, 10.3 Direct proportion problems, 10.4 Best buys.

 

11) Geometry and measures - 11.1 Rectangles, 11.2 Compound shapes, 11.3 Area of a triangle, 11.4 Area of a parallelogram, 11.5 Area of a trapezium, 11.6 Circles, 11.7 The area of a circle, 11.8 Answers in terms of π.

12) Geometry and measures - 12.1 Rotational symmetry, 12.2 Translation, 12.3 Reflections, 12.4 Rotations, 12.5 Enlargements, 12.6 Using more than one transformation, 12.7 Vectors.

13) Probability - 13.1 Calculating probabilities, 13.2 Probability that an outcome will not happen, 13.3 Mutually exclusive and exhaustive outcomes, 13.4 Experimental probability, 13.5 Expectation, 13.6 Choices and outcomes.

14) – Geometry and measures - 14.1 3D shapes, 14.2 Volume and surface area of a cuboid, 14.3 Volume and surface area of a prism, 14.4 Volume and surface area of cylinders.

15) Algebra - 15.1 Solving linear equations, 15.2 Solving equations with brackets, 15.3 Solving equations with the variable on both sides, 15.4 Linear inequalities.

 

Knowledge & Skills

•Students develop their problem solving techniques in the listed topics.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 10 – GCSE Higher Mathematics (set 1, 2 & 3)

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

1) Basic Number - 1.1 Solving real-life problems, 1.2 Multiplication and division with decimals  1.3 Approximation of calculations, 1.4 Multiples, factors, prime numbers, powers and roots, 1.5 Prime factors, LCM and HCF, 1.6 Negative numbers

2) Number: Fractions, ratio and proportion - 2.1 One quantity as a fraction of another, 2.2 Adding, subtracting and calculating with fractions, 2.3 Multiplying and dividing fractions, 2.4 Fractions on a calculator, 2.5 Increasing and decreasing quantities by a percentage, 2.6 Expressing one quantity as a percentage of another

3) Statistics: Statistical diagrams and averages - 3.1 Statistical representation, 3.2 Statistical measures, 3.3 Scatter diagrams

4) Number and sequences - 4.1 Patterns in number, 4.2 Number sequences, 4.3 Finding the nth term of a linear sequence, 4.4 Special sequences, 4.5 General rules from given patterns, 4.6 The nth term of a quadratic sequence, 4.7 Finding the nth term for quadratic sequences

5) Ratio, proportion and rates of change: Ratio and proportion - 5.1 Ratio, 5.2 Direct proportion problems, 5.3 Best buys, 5.4 Compound measures, 5.5 Compound interest  and repeated percentage change, 5.6 Reverse percentage (working out the original amount)

6) Geometry and measures: Angles - 6.1 Angle facts, 6.2 Triangles, 6.3 Angles in a polygon, 6.4 Regular polygons, 6.5 Angles in parallel lines, 6.6 Special quadrilaterals, 6.7 Scale drawings and bearings

7) Geometry and measures: Transformations, constructions and loci - 7.1 Congruent triangles, 7.2 Rotational symmetry

7) Geometry and measures: Transformations, constructions and loci  - 7.3 Transformations, 7.4 Combinations of transformations, 7.5 Bisectors, 7.6 Defining a locus, 7.7 Loci problems, 7.8 Plans and elevations

8) Algebra: Algebraic manipulation - 8.1 Basic algebra, 8.2 Factorisation, 8.3 Quadratic expansion, 8.4 Expanding squares, 8.5 More than two binomials, 8.6 Quadratic factorisation, 8.7 Factorising ax2 + bx + c, 8.8 Changing the subject of a formula

9) Geometry and measures: Length, area and volume - 9.1 Circumference and area of a circle, 9.2 Area of a parallelogram, 9.3 Area of a trapezium, 9.4 Sectors, 9.5 Volume of a prism, 9.6 Cylinders, 9.7 Volume of a pyramid, 9.8 Cones, 9.9 Spheres

10) Algebra: Linear Graphs - 10.1 Drawing linear graphs from points, 10.2 Gradient of a line, 10.3 Drawing graphs by gradient-intercept and cover-up methods, 10.4 Finding the equation of a line from its graph, 10.5 Real-life uses for graphs, 10.6 Solving simultaneous equations using graphs, 10.7 Parallel and perpendicular lines

11 Geometry and measures: Right-angled triangles - 11.1 Pythagoras’ theorem, 11.2 Finding the length of the shorter side, 11.3 Applying Pythagoras’ theorem in real-life situations, 11.4 Pythagoras’ theorem and isosceles triangles, 11.5 Pythagoras’ theorem in three dimensions, 11.6 Trigonometric ratios, 11.7 Calculating angles, 11.8 Using the sine and cosine functions, 11.9 Using the tangent function, 11.10 Which ratio to use, 11.11 Solving problems using trigonometry,  11.12 Trigonometry and bearings, 11.13 Trigonometry  and isosceles triangles

12) Geometry and measures: Similarity - 12.1 Similar triangles, 12.2 Areas and volumes of similar shapes

13) Probability: Exploring and applying probability - 13.1 Experimental probability, 13.2 Mutually exclusive events and exhaustive outcomes, 13.3 Expectation, 13.4 Probability and two-way tables, 13.5 Probability and Venn diagrams

14) Number: Powers and standard form - 14.1 Powers (indices), 14.2 Rules for multiplying and dividing powers, 14.3 Standard form

15) Algebra: Equations and inequalities - 15.1 Linear equations, 15.2 Elimination method for simultaneous equations, 15.3 Substitution method for simultaneous equations, 15.4 Balancing coefficients to solve simultaneous equations, 15.5 Using simultaneous equations to solve problems, 15.6 Linear inequalities, 15.7 Graphical inequalities, 15.8 Trial and improvement

16)  Number: Counting, accuracy, powers and surds - 16.1 Rational numbers, reciprocals, terminating and recurring decimals

 

Knowledge & Skills

Students develop their problem solving techniques in the listed topics.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 10 – GCSE Foundation Mathematics (set 4, 5 & 6)

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

1) Number - 1.1 Place value and ordering numbers, 1.3 The four rules, 1.2 Order of operations and BIDMAS.

2) Geometry and measures - 2.1 Systems of measurement, 2.2 Conversion factors, 2.3 Scale drawings ,2.4 Nets, 2.5 Using an isometric grid.

3) Statistics - 3.1 Frequency tables, 3.2 Statistical diagrams, 3.3 Line graphs, 3.4 Statistical averages

4) Geometry and measures - 4.1 Angles facts, 4.2 Triangles, 4.3 Angles in a polygon, 4.4 Regular polygons, 4.5 Angles in parallel lines, 4.6 Special quadrilaterals, 4.7 Bearings.

5) Number - 5.1 Multiples of whole numbers, 5.2 Factors of whole numbers, 5.3 Prime numbers, 5.4 Prime factors, LCM and HCF, 5.5 Square numbers, 5.6 Square roots, 5.7 Basic calculations on a calculator

6) Number - 6.1 Rounding whole numbers, 6.2 Rounding decimals, 6.3 Approximating calculations.

7) Number - 7.1 Calculating with decimals, 7.2 Fractions and reciprocals, 7.3 Writing one quantity as a fraction of another, 7.4 Adding and subtracting fractions, 7.5 Multiplying and dividing fractions, 7.6 Fractions on a calculator.

8) Algebra - 8.1 Graphs and equations, 8.2 Drawing linear graphs by finding points, 8.3 Gradient of a line, 8.4 y = mx + c, 8.5 Finding the equation of a line from its graph, 8.6 The equation of a parallel line, 8.7 Real-life uses of graphs, 8.8 Solving simultaneous equations using graphs.

 

9) Algebra - 9.1 Basic algebra, 9.2 Substitution, 9.3 Expanding brackets, 9.4 Factorisation, 9.5 Quadratic expansion, 9.6 Quadratic factorisation, 9.7 Changing the subject of a formula.

10) Ratio and proportion - 10.1 Ratio, 10.2 Speed, distance and time, 10.3 Direct proportion problems, 10.4 Best buys.

 

11) Geometry and measures - 11.1 Rectangles, 11.2 Compound shapes, 11.3 Area of a triangle, 11.4 Area of a parallelogram, 11.5 Area of a trapezium, 11.6 Circles, 11.7 The area of a circle, 11.8 Answers in terms of π.

12) Geometry and measures - 12.1 Rotational symmetry, 12.2 Translation, 12.3 Reflections, 12.4 Rotations, 12.5 Enlargements, 12.6 Using more than one transformation, 12.7 Vectors.

13) Probability - 13.1 Calculating probabilities, 13.2 Probability that an outcome will not happen, 13.3 Mutually exclusive and exhaustive outcomes, 13.4 Experimental probability, 13.5 Expectation, 13.6 Choices and outcomes.

14) – Geometry and measures - 14.1 3D shapes, 14.2 Volume and surface area of a cuboid, 14.3 Volume and surface area of a prism, 14.4 Volume and surface area of cylinders.

15) Algebra - 15.1 Solving linear equations, 15.2 Solving equations with brackets, 15.3 Solving equations with the variable on both sides, 15.4 Linear inequalities.

 

Knowledge & Skills

•Students develop their problem solving techniques in the listed topics.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 11 – GCSE Higher Mathematics (Grades 7+)

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

16) Counting, accuracy, powers and surds - 16.2 Estimating powers and roots, 16.3 Negative and fractional powers, 16.4 Surds, 16.5 Limits of accuracy, 16.6 Problems involving limits of accuracy, 16.7 Choices and outcomes

17) Algebra: Quadratic equations - 17.1 Plotting quadratic graphs, 17.2 Solving quadratic equations by factorisation, 17.3 Solving a quadratic equation by using the quadratic formula, 17.4 Solving quadratic equations by completing the square, 17.5 The significant points of a quadratic curve, 17.6 Solving one linear and one non-linear equation using graphs, 17.7 Solving quadratic equations by the method of intersection, 17.8 Solving linear and non-linear simultaneous equations algebraically, 17.9 Quadratic inequalities

 

18) Statistics: Sampling and more complex diagrams  - 18.1 Collecting data, 18.2 Frequency polygons, 18.3 Cumulative frequency graphs, 18.4 Box plots, 18.5 Histograms

19) Probability: Combined events - 19.1 Addition rules for outcomes of events, 19.2 Combined events, 19.3 Tree diagrams

19) Probability: Combined events - 19.4 Independent events, 19.5 Conditional probability

20) Geometry and measures: Properties of circles - 20.1 Circle theorems, 20.2 Cyclic quadrilaterals, 20.3 Tangents and chords, 20.4 Alternate segment theorem

21) Ratio, proportion and rates of change: Variation - 21.1 Direct proportion, 21.2 Inverse proportion

22) Geometry and measures: Triangles - 22.1 Further 2D problems, 22.2 Further 3D problems, 22.3 Trigonometric ratios of angles between 0° and 360°, 22.4 Solving any triangle, 22.5 Using sine to find the area of any triangle

23 Algebra: Graphs - 23.1 Distance–time graphs, 23.2 Velocity–time graphs, 23.3 Estimating the area under a curve, 23.4 Rates of change, 23.5 Equation of a circle, 23.6 Other graphs, 23.7 Transformation of the graph y = f(x)

24) Algebra: Algebraic fractions and functions - 24.1 Algebraic fractions, 24.2 Changing the subject of a formula

24 ) Algebra: Algebraic fractions and functions - 24.3 Functions, 24.4 Composite functions, 24.5 Iteration

25) Geometry and measures: Vector geometry - 25.1 Properties of vectors, 25.2 Vectors in geometry.

Topic Revision and past paper practice

GCSE Maths exams

Knowledge & Skills

•Students develop their problem solving techniques in the listed topics.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 11 – GCSE Higher Mathematics (Grades 4-7)

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

16) Counting, accuracy, powers and surds - 16.2 Estimating powers and roots, 16.3 Negative and fractional powers, 16.4 Surds, 16.5 Limits of accuracy, 16.6 Problems involving limits of accuracy, 16.7 Choices and outcomes

17) Algebra: Quadratic equations - 17.1 Plotting quadratic graphs, 17.2 Solving quadratic equations by factorisation, 17.3 Solving a quadratic equation by using the quadratic formula, 17.4 Solving quadratic equations by completing the square, 17.5 The significant points of a quadratic curve

 

18) Statistics: Sampling and more complex diagrams  - 18.1 Collecting data, 18.2 Frequency polygons, 18.3 Cumulative frequency graphs, 18.4 Box plots, 18.5 Histograms

19) Probability: Combined events - 19.1 Addition rules for outcomes of events, 19.2 Combined events, 19.3 Tree diagrams

19) Probability: Combined events - 19.4 Independent events, 19.5 Conditional probability

21) Ratio, proportion and rates of change: Variation - 21.1 Direct proportion, 21.2 Inverse proportion

22) Geometry and measures: Triangles - 22.1 Further 2D problems, 22.2 Further 3D problems, 22.3 Trigonometric ratios of angles between 0° and 360°, 22.4 Solving any triangle, 22.5 Using sine to find the area of any triangle

23 Algebra: Graphs - 23.1 Distance–time graphs, 23.2 Velocity–time graphs,

24) Algebra: Algebraic fractions and functions - 24.1 Algebraic fractions, 24.2 Changing the subject of a formula

24) Algebra: Algebraic fractions and functions - 24.3 Functions, 24.4 Composite functions, 24.5 Iteration

25) Geometry and measures: Vector geometry - 25.1 Properties of vectors, 25.2 Vectors in geometry.

Topic Revision and past paper practice

GCSE Maths exams

Knowledge & Skills

•Students develop their problem solving techniques in the listed topics.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 11– GCSE Foundation Mathematics (Grade 2-5)

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

16) Ratio and proportion- 16.1 Equivalent percentages, fractions and decimals, 16.2 Calculating a percentage of a quantity, 16.3 Increasing and decreasing quantities by a percentage, 16.4 Expressing one quantity as a percentage of another, 16.5 Compound measures.

17) Ratio and proportion - 17.1 Compound interest and repeated percentage change, 17.2 Reverse percentage (working out the original value), 17.3 Direct proportion, 17.4 Inverse proportion.

18) Statistics - 18.1 Sampling, 18.2 Pie charts, 18.3 Scatter diagrams, 18.4 Grouped data and averages.

19) Geometry and measures - 19.1 Constructing triangles, 19.2 Bisectors, 19.3 Defining a locus, 19.4 Loci problems.

20) Geometry and measures - 20.1 Sectors, 20.2 Pyramids, 20.3 Cones, 20.4 Spheres.

Revision and exam practice.

21) Algebra - 21.1 Patterns in number, 21.2 Number sequences, 21.3 Finding the nth term of a linear sequence, 21.4 Special sequences, 21.5 General rules from given patterns.

22) Geometry and measures - 22.1 Pythagoras’ theorem, 22.2 Calculating the length of the shorter side, 22.3 Applying , Pythagoras’ theorem in real-life situations, 22.4 Pythagoras’ theorem and isosceles triangles, 22.5 Trigonometric ratios, 22.6 Calculating lengths using trigonometry, 22.7 Calculating angles using trigonometry, 22.8 Trigonometry without a calculator, 22.9 Solving problems using trigonometry, 22.10 Trigonometry and bearings, 22.11 Trigonometry and isosceles triangles.

23) Geometry and measures - 23.1 Congruent triangles, 23.2 Similarity.

24) Probability - 24.1 Combined events, 24.2 Two-way tables, 24.3 Probability and Venn diagrams, 24.2 Tree diagrams.

25) Number - 25.1 Powers (indices), 25.2 Rules for multiplying and dividing powers, 25.3 Standard form.

26) Algebra - 26.1 Elimination method for simultaneous equations, 26.2 Substitution method for simultaneous equations, 26.3 Balancing coefficients to solve simultaneous equations, 26.4 Using simultaneous equations to solve problems.

27) Algebra - 27.1 Distance-time graphs, 27.2 Plotting quadratic graphs, 27.3 Solving quadratic equations by factorisation, 27.4 Cubic and reciprocal graphs.

Revision and exam practice

GCSE Maths exams

Knowledge & Skills

•Students develop their problem solving techniques in the listed topics.

Homework
  • Sparx Maths
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 12 – A level Mathematics

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title
  • Understand and use the laws of indices for all rational exponents.
  • Work with quadratic functions and their graphs.
  • Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.
  • Understand and use the coordinate geometry of the circle including using the equation of  a circle in the form (x – a) 2 + (y – b) 2 = r2
  • Understand and use the equation of a straight line
  • Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem.
  • Understand and use the binomial expansion
  • Understand and use the sine, cosine and tangent functions; their graphs, symmetries and periodicity
  • Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle.
  • Understand and use the derivative of f(x) as the gradient of the tangent to the graph of y = f(x)
  • Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form.
  • Understand and use the second derivative
  • Integrate x^n (excluding n = −1) and related sums, differences and constant multiples.
  • Evaluate definite integrals; use a definite integral to find the area under a curve
  • Know and use the function e^x and its graph.
  • Understand and use the laws of logarithms
  • Select or critique sampling techniques in the context of solving a statistical problem, including understanding that different samples can lead to different conclusions about the population.
  • Interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency
  • Understand, use and derive the formulae for constant acceleration for motion in a straight line.
  • Understand the concept of a force; understand and use Newton’s first law.
  • Understand and use mutually exclusive and independent events when calculating probabilities.
  • Understand and use simple, discrete probability distributions (calculation of mean and variance of discrete random variables is excluded), including the binomial distribution, as a model; calculate probabilities using the binomial distribution.
  • Use calculus in kinematics for motion in a straight line:
  • Understand and apply the language of statistical hypothesis testing, developed through a binomial model: null hypothesis, alternative hypothesis, significance level, test statistic, 1-tail test, 2-tail test, critical value, critical region, acceptance region, p-value
  • Proof by contradiction (including proof of the irrationality of 2 and the infinity of primes, and application to unfamiliar proofs).
  • Decompose rational functions into partial fractions (denominators not more complicated than squared linear terms and with no more than 3 terms, numerators constant or linear).
  • Understand the effect of simple transformations on the graph of y = f(x)
  • Understand and use composite functions; inverse functions and their graphs

Knowledge & Skills

•Students develop their problem solving techniques in the listed topics.

Homework
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision

 

Year 13 – A level Mathematics

Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Topic title

Sequences and Series

Binomial expansion

Radians

Trigonometric Functions

Trigonometry and modelling

Parametric equations

Differentiation

Numerical methods

Integration

Vectors

Regression and Correlation

Conditional probability

Moments, Forces and Friction

Normal Distribution

Projectiles

Application of forces

Further Kinematics

Revise all topics in preparation for the final exams

 N/A

Knowledge & Skills

Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, , Further vectors, Polar coordinates, Hyperbolic functions, Differential equations

Homework
  • Flipped learning
  • Worksheets
  • Resources on intranet
  • Revision