Mathematics - Key Stage 3

7

What pupils will learn

How it builds on learning

Number 1: Number skills including order of operations, place value and negative numbers. Investigating and discovering special properties of certain numbers.

Consolidates and extends the Number content of the Key Stage 2 Maths curriculum

Algebra 1: Expressions and manipulating algebra including using letters to represent numbers and simplifying expressions.

Consolidates and extends the Algebra content of the Year 6 programme of study from the Key Stage 2 Maths curriculum

Data Handling 1: Using different types of graphs to represent data.

Consolidates and extends the Statistics content of the Key Stage 2 Maths curriculum

Geometry 1: Angles and angle facts at a variety of levels from looking at angles along a straight line to angles in polygons of various sizes. Accurately drawing shapes using a ruler and a protractor. Developing an understanding of mathematical convention for labelling sides and angles.

Consolidates and extends the Geometry, properties of shapes, content of the Key Stage 2 Maths curriculum

Number 2:  Calculations including different methods of multiplication or division and rounding.

Consolidates and extends the Number content of the Key Stage 2 Maths curriculum

Algebra 2: Forming equations, looking at ways to solve them including using a number machine and writing the problem as a sentence.

Consolidates and extends the Algebra content of the Year 6 programme of study in the Key Stage 2 Maths curriculum

Data Handling 2: Analysing data using averages and measures of how spread out the data is. At some levels this will include finding averages from data presented in frequency tables or graphs.  

Consolidates and extends the Statistics content of the Key Stage 2 Maths curriculum

Geometry 2: Area and perimeter of shapes, ranging from rectangles to compound shapes and then circles.

Consolidates and extends the Measurement content of the Key Stage 2 Maths curriculum

Number 3: Fractions, decimals and percentages.

Ratio and Proportion.

Consolidates and extends the Number and Ratio & Proportion content of the Key Stage 2 Maths curriculum

Algebra 3: Sequences including spotting patterns; filling in gaps and finding the rule to generate the sequence. Plotting coordinates onto a graph and plotting ones which follow a set rule with a view to looking at how this links in with straight line graphs.

Consolidates and extends the Algebra content of the Year 6 programme of study in the Key Stage 2 Maths curriculum

Data Handling 3: Starting to investigate probability ranging from words to describe likelihood, working out numerical probabilities and drawing diagrams to display all possible outcomes.                 

New content at Key Stage 3.

Geometry 3: Reflective and rotational symmetry, similarity, and a selection of the different transformations depending on the level of the pupil – from translations, reflections, rotations and enlargements.

Consolidates and extends the Geometry, position and direction, content of the Key Stage 2 Maths curriculum

8

What pupils will learn

How it builds on learning

Number 1: Number skills including working with decimals, negative numbers, indices and prime factors.

Builds on the content and skills learnt in Year 7 Number 1

Algebra 1: Expressions and manipulating algebra including substituting into expressions; expanding brackets; and at the higher end, working with indices.

Builds on the content and skills learnt in Year 7 Algebra 1

Data Handling 1: Representing data using a variety of graphs suitable to the level of the students – pie charts, scatter graphs or stem and leaf diagrams leading into bar charts.

Builds on the content and skills learnt in Year 7 Data Handling 1

Geometry 1: Using angle facts and Pythagoras’ theorem to solve problems.  Standard constructions and loci.

Builds on the content and skills learnt in Year 7 Geometry 1

Number 2: Learning to use a calculator well, thinking about accuracy and estimation. There will be an emphasis on using a calculator to solve multi-step problems. Understanding measures and some compound measures such as speed and density. 

Builds on the content and skills learnt in Year 7 Number 2

Algebra 2:  Forming and solving equations and inequalities.

Builds on the content and skills learnt in Year 7 Algebra 2

Data Handling 2: Analysing data, presented in a variety of ways, using averages and range.

Builds on the content and skills learnt in Year 7 Data Handling 2

Geometry 2: Perimeter and area of 2D shapes, including triangles, parallelograms, trapezia and circles.  Some groups will also focus on volumes and surface area of prisms.

Builds on the content and skills learnt in Year 7 Geometry 2

Number 3: Fractions, decimals and percentages. Working with fractions, performing operations with them and working out reciprocals. Working with percentages to look at how percentage increase and decrease can affect amounts.  Solving problems involving ratio and proportion.

Builds on the content and skills learnt in Year 7 Number 3

Algebra 3: Different groups will look at different difficulties of sequences from linear and geometric to basic quadratic.  Using graphs to investigate straight lines.  Some groups will also look at real-life graphs.

Builds on the content and skills learnt in Year 7 Algebra 3

Data Handling 3: Experimental probability and theoretical probability. Looking at compound events and how to display information, including using sample space diagrams.

Builds on the content and skills learnt in Year 7 Data Handling 3

Geometry 3:  A range of different topics depending on the level of the pupils including understanding similarity and congruency, carrying out transformations of shapes and investigating scale drawings.

Builds on the content and skills learnt in Year 7 Geometry 3

9

What pupils will learn

How it builds on learning

Number 1: Working with decimals, negative numbers, indices, standard form and prime factors.

Builds on the content and skills learnt in Year 8 Number 1

Algebra 1: Expressions and manipulating algebra including substituting into expressions; expanding brackets; working with indices and at the higher end, starting to look at quadratic equations.

Builds on the content and skills learnt in Year 8 Algebra 1

Data Handling 1: Representing data using a variety of graphs suitable to the level of the pupils – two way tables, pie charts, scatter graphs or stem and leaf diagrams leading into bar charts.

Builds on the content and skills learnt in Year 8 Data Handling 1

Geometry 1: Using angle facts and Pythagoras’ theorem to solve problems.  Standard constructions and loci.  Introduction to trigonometry for some.

Builds on the content and skills learnt in Year 8 Geometry 1

Number 2: Learning to use a calculator well, thinking about accuracy and estimation and how to use a calculator to solve multi-step problems. Understanding measures and some compound measures such as speed, density and pressure.  Practice of multiplication and division methods without a calculator.

Builds on the content and skills learnt in Year 8 Number 2

Algebra 2:  Forming and solving equations and inequalities.

Builds on the content and skills learnt in Year 8 Algebra 2

Data Handling 2: Analysing data, presented in a variety of ways, using averages and range.

Builds on the content and skills learnt in Year 8 Data Handling 2

Geometry 2: Perimeter and area of 2D shapes, including circles and sectors.  Volume and surface area of 3D solids, including prisms, pyramids, cones and spheres.

Builds on the content and skills learnt in Year 8 Geometry 2

Number 3: Calculations with fractions, decimals and percentages. Percentage amounts, increase and decrease including compound percentages. Solving problems involving ratio, direct and indirect proportion.

Builds on the content and skills learnt in Year 8 Number 3

Algebra 3: Different groups will look at different difficulties of sequences from linear and geometric to basic quadratic.  Using graphs to investigate straight lines and tangents to curves. 

Builds on the content and skills learnt in Year 8 Algebra 3

Data Handling 3: Experimental and theoretical probability. Looking at compound events and how to display information, including use of sample space diagrams, Venn diagrams, and probability trees.

Builds on the content and skills learnt in Year 8 Data Handling 3

Geometry 3:  A range of different topics depending on the level of the pupils including understanding similarity and congruency, carrying out transformations of shapes and investigating scale drawings.  Some groups will also be introduced to vectors.

Builds on the content and skills learnt in Year 8 Geometry 3