Curriculum Overview Mathematics Department 2019-2020

At KS3 the schemes of learning are designed to support a mastery approach to teaching and learning and have been designed to support the aims and objectives of the National Curriculum. Mastery of mathematics is a continuum. At each stage of learning students should be able to demonstrate a deep, conceptual understanding of the topic and be able to build on this over time. Mastery is not about just being able to memorise key facts and procedures, this tends to lead to a superficial understanding which can easily be forgotten.

Algebra, geometry and measures, ratio, proportion and rates of change, statistics and probability are taught at KS4 and students experience AO1, AO2 and AO3 type questions as well as exposure to problem solving. In Year 10 those suited to the higher tier will start the learning of grades 9 to 6 topics. 


Autumn term

Spring term

Summer term

Assessment



Year 7

Number - Place value

Understand and use for decimals and integers of any size.
Order positive and negative integers Round numbers and measures

Number - Addition & subtraction

Use formal written methods.

Calculate and solve problems involving perimeter.

Number - Multiplication & division

Multiply and divide by 10, 100 and 1000

Use formal written methods

Understand the order of operations.

Calculate area.

Calculate the mean average.

Number: Fractions 1

Represent fractions.

Express one quantity as a fraction of another.

Identify and use equivalent fractions.
Compare and order fractions.

Convert between mixed numbers and improper fractions.

Simplify fractions.

Convert between fractions and decimals

Statistics 1

Understand the data handling cycle.
Understand the different types of data.
Collect, organise and interpret data.

Draw and interpret bar charts, pictograms and line graphs.

Number: Negative numbers

Algebra 1

Introduction to algebra

Use and interpret algebraic notation

Substitute numerical values

Collecting like terms

Solve simple linear equations

Generate terms of a sequence

Find the nth term

Geometry – Lines  & angles

Describe, sketch and draw

Use a protractor

Apply the properties of angles

Use the sum of angles

October:

Number - Place value

December:

Number - Place value, Addition & Subtraction and Multiplication & Division.

February:

Number - Addition & Subtraction, Multiplication & Division and Fractions 1.

April:

Number - Fractions 1, Statistics 1 and Number - Negative numbers.

May:

Statistics 1, Number - Negative numbers and Algebra 1.

July:

Algebra 1 and Geometry - Lines & Angles


Autumn term

Spring term

Summer term

Assessment



Year 8

Number - Fractions 2

Multiply and divide proper and improper fractions and mixed numbers both positive and negative.

Find a fraction of an amount.

Find the whole amount, given a fraction of the amount.

Find a fractional increase and decrease.


Number - Percentages

Define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100%.







Algebra 2

Substitute numerical values into formulae and expressions.

Simplify and manipulate algebraic expressions.

Solve linear equations.

Understand and use the concepts and vocabulary of inequalities.

Rearrange formulae.


Geometry – Circles and area

Convert between cm2 and m2.

Solve problems involving area.

Solve problems involving perimeters.

Ratio, proportion & rates of change

Change freely between related standard units.

Use ratio notation.

Divide a given quantity.

Use compound units.

Direct and inverse proportion.


Statistics 2

Draw and interpret pie charts.

Stem and leaf diagrams, including back to back.

For non-grouped data given in the form of a table, find the mean, median, mode and range.


Geometry – 3D shapes

Use the properties of faces, surfaces, edges and vertices.

Convert between cm3 and m3.

solve problems involving volume and surface area.

Construct and interpret plans and elevations of 3-D shapes.

October:

Number - Four operations, Order of operations, Negative numbers, Fractions 1, Fractions 2 and Algebra 1.

December:

Number - Fractions 2 and Percentages.

February:

Number - Percentages and Algebra 2.

April:

Algebra 2 and Geometry - Circles and area.

May:

Geometry - Circles and area and Ratio, proportion and rates of change.

July:

Ratio, proportion and rates of change, Statistics 2 and Geometry - 3D shapes.


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Year 9

Autumn term

Spring term

Summer term

Assessment

Y9MP:

Integers and place value
Decimals
Indices, powers and roots
Factors, multiples and primes
Algebra-the basics
Expressions and substitution into formulae
Tables, charts and graphs
Pie charts
Scatter graphs

Y9S:

Integers 1

Order of operations

Decimals 1

Approximations 1

Fractions 1

Percentages 1

Money

Data

Displaying data

Calculating with data

Interpreting data

















Y9MP:

Fractions, decimals and percentages
Percentages
Equations and inequalities
Sequences
Properties of shapes, parallel lines and angle facts
Interior and exterior angles of polygons
Statistics, sampling and the averages

Y9S:

Time

Integers 2

Function machines

Decimals 2

Approximations 2

Probability

Measures

Angles

Angle calculation

Y9MP:

Perimeter, area and volume
Real-life graphs
Straight-line graphs
Transformations
Ratio
Proportion


Y9S:

Fractions 2

Percentages 2

Direct proportion

Algebra

Constructing triangles

Transformations

Circle and quadrilateral definitions

Perimeter, area and volume

Five half-termly tests covering recently taught material as well as previously taught material.


There will also be an end of year test which will be modified past paper.





Year 10

Autumn term

Spring term

Summer term

Assessment

Y10T3 & T4:

Transformations
Ratio
Proportion

Right-angled triangles: Pythagoras and trigonometry
Probability

Y10S:

Integers and place value
Decimals
Indices, powers and roots
Factors, multiples and primes
Algebra: the basics
Expressions and substitution into formulae
Tables, charts and graphs
Pie charts
Scatter graphs

Y10ST1:

Probability
Multiplicative reasoning
Similarity and congruence in 2D and 3D
Graphs of trigonometric functions
Further trigonometry
Collecting data



Y10 T1 & T2:

Calculations, checking and rounding
Indices, roots, reciprocals and hierarchy of operations
Factors, multiples, primes, standard form and surds
Algebra: the basics, setting up, rearranging and solving equations
Sequences
Averages and range
Representing and interpreting data and scatter graphs
Fractions and percentages

Y10T3 & T4:

Multiplicative reasoning
Plans and elevations
Constructions, loci and bearings
Quadratic equations: expanding and factorising
Quadratic equations: graphs
Circles, cylinders, cones and spheres

Y10S:

Fractions, decimals and percentages
Percentages
Equations and inequalities
Sequences
Properties of shapes, parallel lines and angle facts
Interior and exterior angles of polygons
Statistics, sampling and the averages

Y10ST1:

Cumulative frequency, box plots and histograms
Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
Circle Theorems
Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof
Vectors and geometric proof

Y10T1 & T2:

Fraction and percentages

Ratio and proportion
Polygons, angles and parallel lines
Pythagoras’ Theorem and trigonometry
Graphs: the basics and real-life graphs
Linear graphs and coordinate geometry
Quadratic, cubic and other graphs
Perimeter, area and circles
3D forms and volume, cylinders, cones and spheres

Y10T3 & T4:

Fractions and reciprocals
Indices and standard form
Similarity and congruence in 2D
Vectors

Great mathematicians activities and revision of units 10 -19.



Y10S:

Perimeter, area and volume
Real-life graphs
Straight-line graphs
Transformations
Great mathematicians activities and revision of units 1 -10..



Y10ST1:

Reciprocal and exponential graphs; Gradient and area under graphs
Direct and inverse proportion
Great mathematicians activities and revision of units 10 -19.



Y10T1 & T2:

Accuracy and bounds
Transformations
Constructions, loci and bearings
Solving quadratic and simultaneous equations
Inequalities
Probability
Great mathematicians activities and revision of units 1 - 10.











Five half-termly tests covering recently taught material as well as previously taught material.


There will also be an end of year test which will be modified past paper.







Year 11

Autumn term

Spring term

Summer term

Assessment


Y11ST1:

Graphs of trigonometric functions
Further trigonometry
Collecting data
Cumulative frequency, box plots and histograms
Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
Circle Theorems
Circle Geometry



Y11ST2 & T1:

Probability
Multiplicative reasoning
Similarity and congruence in 2D and 3D
Collecting data
Cumulative frequency, box plots and histograms
Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics


Y11 T2:

Pythagoras’ Theorem and trigonometry
Graphs: the basics and real-life graphs
Linear graphs and coordinate geometry
Quadratic, cubic and other graphs
Perimeter, area and circles
3D forms and volume, cylinders, cones and spheres
Transformations









Autumn term



Y11ST1:

Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof
Vectors and geometric proof
Reciprocal and exponential graphs; Gradient and area under graphs


Y11ST2 & T1:

Circle Theorems
Circle Geometry
Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof





Y11 T2:

Solving quadratic and simultaneous equations
Inequalities
Probability
Similarity and congruence in 2D and 3D
Collecting data
Cumulative frequency, box plots
Changing the subject of formulae (more complex)
Vectors










Spring term



Y11ST1:

Direct and inverse proportion

Review of units 1-10  before working through past papers.


Y11ST2 & T1:

Vectors
Direct and inverse proportion

Review of units 1-10 before working through past papers.


Y11 T2:

Direct and inverse proportion

Review of units 1 - 10. before working through past papers




























Summer term




There will be PPEs  throughout the year in the sports hall. These will be past paper questions to be sat under examination conditions.


























Assessment

Year 11

Y11T3 & M:

Multiplicative reasoning
Plans and elevations
Constructions, loci and bearings
Quadratic equations: expanding and factorising
End of Autumn half-term
Quadratic equations: graphs
Circles, cylinders, cones and spheres
Fractions and reciprocals

Y11S:

Transformations
Ratio
Proportion
Right-angled triangles: Pythagoras and trigonometry
Probability












Y11T3 & M:

Indices and standard form
Similarity and congruence in 2D
Vectors
Review units 1 -13.



Y11S:

Multiplicative reasoning
Plans and elevations
Constructions, loci and bearings
Quadratic equations: expanding and factorising
Quadratic equations: graphs
Circles, cylinders, cones and spheres
Fractions and reciprocals


Y11T3 & M:

Past papers



Y11S:

Indices and standard form
Similarity and congruence in 2D
Vectors
Review of all units before working through past papers.


There will be PPEs  throughout the year in the sports hall. These will be past paper questions to be sat under examination conditions.