Maths
In the Summer Term of year 9 pupils will begin the Maths GCSE. This will be a two or three year course, which is broken into modules. All pupils in KS4 have the opportunity to do ALAN (online key skills test), a level 2 pass is equivalent to ½ a grade B and a level 1 is equivalent to ½ a grade D. Pupils who achieve a GCSE grade B or higher at the end of year 10 will have the opportunity to do an AS level on Maths.
At the end of KS3 those pupils achieving a level 5 or higher will follow the higher course, those pupils achieving a level 4 or below will follow the foundation course. The majority of pupils will follow the OCR Modular A course. This course terminates with three assessment opportunities. More able students may be entered for the Linear A course which terminates with two examination papers, one non-calculator and the other a calculator paper. There is no longer a coursework element to either course.
Students who did not achieve the appropriate Level of Functional Skills Mathematics examination at the end of KS3 will continue to study for this qualification during Key Stage 4. There are three opportunities throughout this Key Stage to take the examination.
Higher programme of study
Pupils will complete work on the following modules
First Year
| Autumn | Spring | Summer |
|---|
Algebra- Number
- Using numbers
- Directed numbers
- Effective use of a calculator
- Prime Factors
- Using ratio
| Number- Estimation
- Fractions Decimals and Percentages
- Mixed Numbers
- Recurring Decimals
| Number- Indices
- Surds
- Fractional and negative indices
|
Data Handling- The data cycle
- Types of data and Sampling
- Stem and leaf diagrams
- Box and Whisker plots
- Comparing data
| Data Handling- Frequency tables
- Grouped data
- Questionnaires
- Frequency diagrams
- Cumulative frequency diagrams
- Histograms
| Data Handling- Scatter graphs
- Correlation
- Lines of best fit
- Time series
|
Shape, Space and Measure- Constructions
- Metric and Imperial systems
- Constructing Triangles
- Loci
- Maps and Bearings
- Pythagoras' Theorem
- Trigonometry
- Sine and Cosine of an angle
| Shape, Space and Measure- Angles
- Angles within polygons
- Circle Theorems
- Reflection and rotation
- Translations
- Congruence and similarity
- Enlargements
- Vectors
- Vector geometry
| Shape, Space and Measure- Congruence and similarity
- Enlargements
- Vectors
- Vector geometry
|
Algebra- Sequences
- General terms
- Nth term
- Using and deriving formulae
- Rearranging formulae
- Linear Equations
- Equations with fractions
| Algebra- Linear graphs
- Gradients and y-intercepts
- Equations of a straight line
- Identifying Equations
| Algebra- Simultaneous equations
- Graphical solutions
- Inequalities
- Regions
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Second Year
| Autumn | Spring | Summer |
|---|
Number- Percentage increase and decrease
- Reverse Percentages
- Exponential growth and Decay
- Direct proportion
- Inverse Proportion
| Number- Everyday arithmetic
- Compound Measures
- Standard Form
- Errors in measurement
| Revision and Exam Preparation |
Data Handling- Probability - outcomes
- Experimental and theoretical probability
| Data Handling- Tree Diagrams
- Compound Events
|
Revision and examination preparation
|
Shape, Space and Measure- Area and perimeter of compound shapes
- Circumference and area of a circle
- Sectors of circles
| Shape, Space and Measure- Surface area of shapes
- Length, area and volume scale factors
- Measures of area and volume
- Pythagoras' and trigonometry in 3D
- Sine rule
- Cosine Rule
- Points in 3D
| Revision and examination preparation |
Algebra- Simplify expressions
- Expand and factorise expressions
- Solving quadratic equations
- Completing the square
- Quadratic equation formula
- Simultaneous linear and quadratic equations
| Algebra- Plotting Curves
- Solving quadratic equations by graph
- Real life quadratic graphs
- Trial and improvement
- Linear and quadratic graphs
- Trigonometric graphs
- Exponential graphs
- Transformations of graphs
- Equations of a circle
|
Revision and examination preparation
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Intermediate programme of study
Pupils will complete work on the following modules
First Year
| Autumn | Spring | Summer |
|---|
Algebra- Simplify algebraic terms
- Expanding and simplifying brackets
- Solve equations
- Solve inequalities
- Substitute
- Trial and improvement
- Solve Simultaneous Equations
- Plot straight line graphs (Linear)
- Solve problems involving straight line graphs
- Plot curved graphs (Quadratic)
- Turn words into algebra
- Recognise whether a formula is for area, volume or length
- Factorise
- Find the general rule (nth term) for a sequence
- Change the subject of an expression/formula
- Draw graphs to show inequalities
| Number- Write a number as a percentage of another number
- Find a percentage of an amount without a calculator
- Find a percentage of an amount with a calculator
- Reduce and increase an amount by a percentage
- Calculate simple interest
- Calculate compound interest
- Reverse percentages
- Calculate percentage loss and profit
- Solve exam type questions on percentages
- Write standard form as a number and back again
- Use a calculator to work out questions involving standard form
- Solve exam type questions on standard form
- Multiply and divide
- Find ratios of an amount
- Use ratios to solve problems
- Solve exam type questions on ratio
- Estimate answers
- Solve exam type questions using a calculator
- Solve exam type questions based on real life problems
- Highest common factors (HCF)
- Lowest common multiples (LCM)
- Express a number as products of its prime factors
- Solve exam type questions on fractions
| Handling Data- Find the mean
- Find the median
- Find the mode
- Find the range
- Find averages and range from tables
- Estimate the mean from a frequency table
- Calculate moving averages
- Plot Stem and Leaf diagrams
- Plot pie charts
- Work out the frequency from a pie chart
- Draw box plots
- Draw Cumulative frequency diagrams
- Plot scatter diagrams/graphs
- Draw a line of best fit on a scatter diagram/graph
- Describe the different correlations of a scatter diagram/graph
- Use the line of best fit to answer questions
- Fill in two-way tables
- Design a suitable questionnaire
- Say what the probability of something happening is
- Say what the probability of something not happening is
- Draw and use tree diagrams
- Use travel graphs
- Plot travel graphs
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Second Year
| Autumn | Spring | Summer |
|---|
Shape, space and measures- Find the area of a rectangle
- Find the area of a triangle
- Find the area of a circle
- Find the area of a compound shapes
- Find the circumference of a circle
- Find the perimeter
- Find surface areas
- Find the volume of a cuboid
- Find the volume of a triangular prism
- Find the volume of a cylinder
- Solve problems involving volume
- Find the missing angle on a straight line
- Find the missing angle round a point
- Find the missing angle in a triangle
- Find the exterior angle of a regular polygon
- Find the interior angle of a regular polygon
- Find the missing angles on parallel lines
- Find the missing angles with circles
- Find the shortest side of a triangle using Pythagoras
- Find the longest side of a triangle using Pythagoras
- Solve exam questions on Pythagoras
- Find missing lengths of a triangle using trigonometry
- Find missing angles of a triangle using trigonometry
- Reflect
- Rotate about a point
- Translate
- Enlarge from a point
- Enlarge from a point using a scale factor as a fraction
- Describe transformations
- Recognise and draw lines of symmetry
- Recognise rotational symmetry
- Find lengths of similar shapes
| Shape, space and measures- Construct triangles using a ruler, compass and protractor
- Construct an angle using a ruler and a compass
- Construct a perpendicular line using a ruler and a compass
- Construct an angle bisector using a ruler and a compass
- Draw the Locus of points
- Draw front elevations
- Draw side elevations and sketch 3D prisms
- Recognise the nets of different 3D shapes
- Draw nets for different 3D shapes
- Tessellate shapes
- Convert between different units
- Use volume, density and mass to solve problems
- Calculate the average speed
- Find bearings
| Exam Preparation |
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Foundation programme of study
Pupils will complete work on the following modules
First Year
| Autumn | Spring | Summer |
|---|
Number- Using numbers
- Directed numbers
- Effective use of a calculator
- Prime Factors
- Using ratio
| Number- Estimation
- Fractions Decimals and Percentages
- Mixed Numbers
| Number |
Data Handling- The data cycle
- Types of data and Sampling
- Stem and leaf diagrams
- Comparing data
| Data Handling- Frequency tables
- Grouped data
- Questionnaires
- Frequency diagrams
- Cumulative frequency diagrams
- Histograms
| Data Handling- Scatter graphs
- Correlation
- Lines of best fit
- Time series
|
Shape, Space and Measure- Constructions
- Metric and Imperial systems
- Constructing Triangles
- Loci
- Maps and Bearings
- Pythagoras' Theorem
| Shape, Space and Measure- Angles
- Angles within polygons
- Reflection and rotation
- Translations
- Enlargements
| Shape, Space and Measure |
Algebra- Sequences
- General terms
- Nth term
- Using and deriving formulae
- Rearranging formulae
- Linear Equations
| Algebra- Linear graphs
- Gradients and y-intercepts
- Equations of a straight line
- Identifying Equations
| Algebra- Graphical solutio
- Inequalities
|
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Second Year
| Autumn | Spring | Summer |
|---|
Number- Percentage increase and decrease
- Reverse Percentages
| Number- Everyday arithmetic
- Compound Measures
- Errors in measurement
| Revision and examination preparation |
Data Handling- Probability - outcomes
- Experimental and theoretical probability
| Data Handling- Tree Diagrams
- Compound Events
| Revision and examination preparation |
Shape, Space and Measure- Area and perimeter of compound shapes
- Circumference and area of a circle
| Shape, Space and Measure- Surface area of shapes
- Length, area and volume scale factors
- Measures of area and volume
| Revision and examination preparation
|
Algebra- Simplify expressions
- Expand and factorise expressions
| Algebra- Plotting Curves
- Solving quadratic equations by graph
- Real life quadratic graphs
- Trial and improvement
| Revision and examination preparation
|
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