Math Key Stage 3

In year 7 we build up core knowledge that will provide the foundations for future learning. Mathematical fluency (the ability to recall basic facts and use them in more challenging problems) and studying to cultivate a love of learning are central to our philosophy. Emphasis is placed on good written methods, number skills and the use of algebra in problems. Assessments in year 7 are focused end of unit tests to accurately assess students’ understanding and gauge whether they are making expected progress.

In year 8 we extend students’ learning. A greater emphasis is placed on demanding strategies to solve problems in all topic areas, particularly linking topic areas to increase the complexity of problems. Assessments are once again conducted using end of unit tests to accurately assess whether students are making expected progress.

In year 9 Students continue to build upon their knowledge of all areas of mathematics. We look towards the beginning of the GCSE course in year 10 and ensure students have the knowledge and understanding of core topics to progress to the next stage. Students face increasingly complex problems and scenarios, our most able students will begin to access material from the higher tier of the GCSE syllabus. Clear written methods and good number skills are expected in every topic and students are expected to be able to link different areas of the subject to help solve problems with algebra now embedded throughout all topics. Students will continue to be assessed with the end of unit tests, but will also be exposed to GCSE papers as we prepare students for their upcoming GCSE.

Year 7Year 8Year 9
Key Concepts

Good written methods, number skills and use of algebra in problems. Discovering the love of learning.

Strategies to solve increasing complex problems

Building knowledge and understanding in the core topics.

Autumn Term

(Sep-Oct)

Exploring algebraic thinking. This unit looks at moving freely between numerical, algebraic, graphical and diagrammatic representations. Using algebra in different contexts including formulating mathematical concepts. Simplify and manipulate algebraic expressions to maintain equivalence.

Focus on proportional reasoning. Making connections between number relationships and algebraic and graphical representations. Links made to maps and scales and the use of scale factors. Multiplying and dividing fractions understanding the use of the reciprocal.

Focus on reasoning with algebra. Develop algebraic and graphical fluency and interpret mathematical relationships both algebraically and graphically. Understand, use and rearrange mathematical formulae. Reason deductively in geometry, number and algebra.

Quality Mark Assessments

QM assessment:

Ratio problems, direct and inverse proportion.

QM assessment:

Linear and quadratic graphs, solving equations, change the subject,test conjectures, look for proof and counter examples

Autumn Term

(Nov-Dec)

Consolidate understanding of number and the number system and place value. Move freely between different numerical representations (including fractions, decimals, percentage and standard form. Gain a deep understanding of the links between different representations

Focus on mathematical concepts of representations. Use of coordinates and exploring the notion of gradients and intercepts. Make connections between number relationships and their algebraic and graphical representations. Describe, interpret and compare distributions.Using tables to represent sample spaces in probability.

Focus on constructions in 2 and 3 dimensions. Use properties of shapes to solve problems in 3D. Derive and apply formulae in geometry. Explore practical uses of loci and constructions.

Quality Mark Assessments

QM assessment:

Rounding, place value, convert between fractions and decimals.

QM assessment:

Plotting graphs, comparing averages and representing data, calculating probability of combined events.

QM assessment:

Nets of 3D shapes, plans and elevations, surface area, standard constructions.

Spring Term

(Jan-Feb)

Building on formal methods of calculations in the context of interpreting and solving problems. Looking at problems in a variety of contexts including money, area and perimeter and charts and graphs.

Constructing and interpreting appropriate tables and charts. Looking at 4 operations applied to integers, decimals and improper fractions.

Focus on algebraic techniques. Expanding brackets, solving inequalities. Understanding concepts and vocabulary associated with algebra, working with expressions that include powers

Develop knowledge of number systems to include rational and real numbers. Explore complex percentage problems. Use of number skills in financial context including tax and wages. Explore proportional reasoning.

Quality Mark Assessments

QM assessment:

Formal methods for 4 operations on integers, decimals and fractions, problems with charts and graphs

QM assessment:

Collecting like terms, multiplying out brackets, using formulae, nth term of sequences, simplifying expressions with indices

QM assessment:

Standard form, surd, reverse percentages, repeated percentage change.

Spring Term

(Feb-April)

Deepen understanding of working with directed numbers. Focus on working with negative numbers in algebra and solving equations. Develop fractional thinking in complex problems. Select appropriate strategies to solve problems.

Focus on developing numerical reasoning and problem solving. Choosing efficient calculator and non calculator methods solving problems with fractions and percentage. Solving problems in finance. Conversion of metric units.

Focus on reasoning with geometry. Developing deduction in geometric. Develop mathematical knowledge in geometry with multistep problems. Solve Theorem.

Quality Mark Assessments

QM assessment:

4 operations on directed numbers.

Forming and solving linear equations.

QM assessment:

Solving percentage problems, standard for, converting metric units error intervals

QM assessment:

Properties of angles, transformations, Pythagoras’ theorem.

Summer Term

(Feb-May)

Focus on increasing competence and accuracy in use of measuring equipment. Develop geometrical reasoning around angles and angle problems. Construct and interpret pie charts for further practice in drawing and measuring angles.

Focus on developing geometrical reasoning. Applying properties of angles. Using formulae to calculate areas of shapes, calculate and solve problems with area and perimeters of 2D shapes. Exploring symmetry.

Focus on reasoning with proportion. Access to complex problems with algebra. Solving problems with scaling. Solving problems with compound units.

Quality Mark Assessments

QM assessment:

Drawing and measuring angles, construct triangles, draw pie charts, solve complex angle problems

QM assessment:

Solve angle problems on parallel lines, solve problems with angles in polygons, calculate area of circles, reflective and rotational symmetry.

QM assessment:

Similar shapes, Inverse proportion, ratio, compound units

Summer Term

(May-July)

Focus on reasoning with numbers. Extend mental strategies to simplify complex calculations and use known facts to find other facts. Extend work with number facts to algebraic facts, study probability and associated problems. Forming and testing conjecture.

Focus on reasoning with data. Explore the data handling cycle, comparing distributions. Understanding averages and when and why they should be used. Project work around reasoning with data.

Revision of Key Stage, preparing for key stage 4

Quality Mark Assessments

QM assessment:

Mental arithmetic with fractions and decimals, probability, sets, factors and multiples.

QM assessment:

Comparing distributions, construct and interpret charts and graphs, calculating averages

QM assessment:

Assessed using a full exam paper.


Year 7

Key Concepts

Good written methods, number skills and use of algebra in problems. Discovering the love of learning.

Quality Mark Assessments

Autumn Term

(Sep-Oct)

Exploring algebraic thinking. This unit looks at moving freely between numerical, algebraic, graphical and diagrammatic representations. Using algebra in different contexts including formulating mathematical concepts. Simplify and manipulate algebraic expressions to maintain equivalence.

Quality Mark Assessments

Autumn Term

(Nov-Dec)

Consolidate understanding of number and the number system and place value. Move freely between different numerical representations (including fractions, decimals, percentage and standard form. Gain a deep understanding of the links between different representations

Quality Mark Assessments

QM assessment:

Rounding, place value, convert between fractions and decimals.

Spring Term

(Jan-Feb)

Building on formal methods of calculations in the context of interpreting and solving problems. Looking at problems in a variety of contexts including money, area and perimeter and charts and graphs.

Constructing and interpreting appropriate tables and charts. Looking at 4 operations applied to integers, decimals and improper fractions.

Quality Mark Assessments

QM assessment:

Formal methods for 4 operations on integers, decimals and fractions, problems with charts and graphs

Spring Term

(Feb-April)

Deepen understanding of working with directed numbers. Focus on working with negative numbers in algebra and solving equations. Develop fractional thinking in complex problems. Select appropriate strategies to solve problems.

Quality Mark Assessments

QM assessment:

4 operations on directed numbers.

Forming and solving linear equations.

Summer Term

(Feb-May)

Focus on increasing competence and accuracy in use of measuring equipment. Develop geometrical reasoning around angles and angle problems. Construct and interpret pie charts for further practice in drawing and measuring angles.

Quality Mark Assessments

QM assessment:

Drawing and measuring angles, construct triangles, draw pie charts, solve complex angle problems

Summer Term

(May-July)

Focus on reasoning with numbers. Extend mental strategies to simplify complex calculations and use known facts to find other facts. Extend work with number facts to algebraic facts, study probability and associated problems. Forming and testing conjecture.

Quality Mark Assessments

QM assessment:

Mental arithmetic with fractions and decimals, probability, sets, factors and multiples.


Year 8

Key Concepts

Strategies to solve increasing complex problems

Quality Mark Assessments

Autumn Term

(Sep-Oct)

Focus on proportional reasoning. Making connections between number relationships and algebraic and graphical representations. Links made to maps and scales and the use of scale factors. Multiplying and dividing fractions understanding the use of the reciprocal.

Quality Mark Assessments

QM assessment:

Ratio problems, direct and inverse proportion.

Autumn Term

(Nov-Dec)

Focus on mathematical concepts of representations. Use of coordinates and exploring the notion of gradients and intercepts. Make connections between number relationships and their algebraic and graphical representations. Describe, interpret and compare distributions.Using tables to represent sample spaces in probability.

Quality Mark Assessments

QM assessment:

Plotting graphs, comparing averages and representing data, calculating probability of combined events.

Spring Term

(Jan-Feb)

Focus on algebraic techniques. Expanding brackets, solving inequalities. Understanding concepts and vocabulary associated with algebra, working with expressions that include powers

Quality Mark Assessments

QM assessment:

Collecting like terms, multiplying out brackets, using formulae, nth term of sequences, simplifying expressions with indices

Spring Term

(Feb-April)

Focus on developing numerical reasoning and problem solving. Choosing efficient calculator and non calculator methods solving problems with fractions and percentage. Solving problems in finance. Conversion of metric units.

Quality Mark Assessments

QM assessment:

Solving percentage problems, standard for, converting metric units error intervals

Summer Term

(Feb-May)

Focus on developing geometrical reasoning. Applying properties of angles. Using formulae to calculate areas of shapes, calculate and solve problems with area and perimeters of 2D shapes. Exploring symmetry.

Quality Mark Assessments

QM assessment:

Solve angle problems on parallel lines, solve problems with angles in polygons, calculate area of circles, reflective and rotational symmetry.

Summer Term

(May-July)

Focus on reasoning with data. Explore the data handling cycle, comparing distributions. Understanding averages and when and why they should be used. Project work around reasoning with data.

Quality Mark Assessments

QM assessment:

Comparing distributions, construct and interpret charts and graphs, calculating averages


Year 9

Key Concepts

Building knowledge and understanding in the core topics.

Quality Mark Assessments

Autumn Term

(Sep-Oct)

Focus on reasoning with algebra. Develop algebraic and graphical fluency and interpret mathematical relationships both algebraically and graphically. Understand, use and rearrange mathematical formulae. Reason deductively in geometry, number and algebra.

Quality Mark Assessments

QM assessment:

Linear and quadratic graphs, solving equations, change the subject,test conjectures, look for proof and counter examples

Autumn Term

(Nov-Dec)

Focus on constructions in 2 and 3 dimensions. Use properties of shapes to solve problems in 3D. Derive and apply formulae in geometry. Explore practical uses of loci and constructions.

Quality Mark Assessments

QM assessment:

Nets of 3D shapes, plans and elevations, surface area, standard constructions.

Spring Term

(Jan-Feb)

Develop knowledge of number systems to include rational and real numbers. Explore complex percentage problems. Use of number skills in financial context including tax and wages. Explore proportional reasoning.

Quality Mark Assessments

QM assessment:

Standard form, surd, reverse percentages, repeated percentage change.

Spring Term

(Feb-April)

Focus on reasoning with geometry. Developing deduction in geometric. Develop mathematical knowledge in geometry with multistep problems. Solve Theorem.

Quality Mark Assessments

QM assessment:

Properties of angles, transformations, Pythagoras’ theorem.

Summer Term

(Feb-May)

Focus on reasoning with proportion. Access to complex problems with algebra. Solving problems with scaling. Solving problems with compound units.

Quality Mark Assessments

QM assessment:

Similar shapes, Inverse proportion, ratio, compound units

Summer Term

(May-July)

Revision of Key Stage, preparing for key stage 4

Quality Mark Assessments

QM assessment:

Assessed using a full exam paper.