Harris Academies
All Academies in our Federation aim to transform the lives of the students they serve by bringing about rapid improvement in examination results, personal development and aspiration.

Maths Curriculum in years 7 to 9

If you require more information on the content of these units, please contact s.stronach@harrischaffordhundred.org.uk

The KS3 national curriculum can be found at: https://www.gov.uk/government/publications/national-curriculum-in-england-framework-for-key-stages-1-to-4.


Mathematics Schemes of Work 2014

The Harris Federation mathematics schemes of work for KS3 have been written in line with the aims and ethos of the new national curriculum and assessments.

Each year group has been allocated appropriate content to ensure all students have the opportunity to achieve the highest levels of progress and attainment at GCSE. There are generally 3-5 units each half term.

In year 7 and 8 we will ensure that all students achieve fluency in their mathematics, developing a deep understanding of fundamental concepts and being able to recall and apply knowledge rapidly and accurately. Students will learn how to reason mathematically and develop understanding through identifying and communicating relationships between different strands of mathematics and building on prior knowledge. Students will learn to apply their mathematics to variety problems with increasing sophistication and will be given the opportunity and encouragement to persevere in seeking solutions.

The changes made to the curriculum at KS3 will prepare our students in gaining the mathematical knowledge and skills needed for life in modern Britain, secure access into and success in further education and raise standards to compete in a global job market.

Key differences in curriculum

At KS3 we will teach fewer things in greater depth, this means more time may be spent on one topic to secure thorough understanding of key concepts. This does not mean that students are not challenged or the pace of the lesson should drag. Expectations are that all students should achieve in line with the aims of the new curriculum, but students will be further challenged by questions that require deeper understanding or more complex problem solving in the focus topic rather than moving on to the next one.

The new assessment at KS4 will have a much greater emphasis on problem solving and reasoning. All content taught in the new schemes will include application of knowledge and skills in a wide variety of problem solving, investigations and activities. Students will learn that success may not be immediate and, alongside encouragement, time will be given for students to puzzle out and choose the maths they need to apply in different situations.


The assessment system has been designed alongside our schemes of learning to ensure regular assessment of fluency, reasoning and problem solving across the topics that have been covered. The assessment will be used to ensure students are secure in their understanding of a topic before they are moved on and to target intervention swiftly and effectively where it is needed. We will assess students’ progress in fluency, reasoning and problem solving through classwork, homework, unit tests and a half term written paper.

Teachers will use work produces in books to assess progress and identify how students might improve. Homework will be set regularly and will be integral in assessing students ability to work and apply the skills they have learnt independently. The teacher will use this assessment to inform their planning, support individuals and adapt lessons accordingly for their class.

A short multiple choice test on each unit of work has been carefully designed to assess fluency and understanding and draw out misconceptions so the teacher can immediately act if intervention is required. The half termly written papers will focus on reasoning and problem solving allowing students to demonstrate the ability to apply what they have learnt. Results for these assessments will be reported to parents as percentages and we will use these scores to predict a student’s most likely grade (MLG) at the end of year 11, to assess whether they are on track.

The new grading system for mathematics GCSE is 9-1 with 9 being the highest. The exams taken will be in two tiers, higher and foundation. Students taking the foundation tier can achieve a grade 5-1 and those taking the higher can achieve a grade 9-4. The written assessments taken in years 7-9 will have higher and foundation assessments, reflecting the tiers in the final exam, and we will be able to change a student’s tiers of entry as appropriate as we go through the year. The reported MLG will be given using the 9-1 scale.


Key differences in assessment

No content is assigned to a level or grade. There is now no external reported assessment at the end of KS3. This means giving a current grade is not possible so we will use percentages from the fluency and written paper outlined above which will also generate a most likely grade prediction for the end of year 11. Tests will only cover the body of knowledge that has been covered by the students up to that point, so percentages will be accompanied by very specific action points for improvement and it will be clear from the scheme which topics have been tested so students may also be supported at home.


NEW KS3 CURRICULUM                                                                                                                                                                                                                                                                               



Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Year 7

Place Value & Powers of 10

Rounding and Estimating

Adding and subtracting decimals




Measuring lengths

Perimeter of Shapes

Calculations with money

Problem solving with decimals using bar modelling

Mental Calculations

Written Calculations, Multiplication and division

Factors Multiples and Primes

Proportional Reasoning



Areas of shape

Problem solving using bar modelling

Unit Conversion

Venn Diagrams and Set notation

Calculations with Negative Numbers


Simplifying Expressions





Area and Perimeter

Expressions v Equations


Negative numbers in context

Basic Angles

Properties of Shapes


Fractions of Numbers





Proof of angle sums


Multiplication of fractions

Problem solving using bar modelling

Convert between Percentages, Fractions and Decimals

Percentages of an amount

One number as a percentage of another



Reading charts and tables with percentages

Comparing Proportions

Real life problems

Money problems

Plotting Linear graphs

Coordinates in all four quadrants

Conversion Graphs

Data collection

Mean and Range

Statistical graphs and charts



Real life graphs

Conversion graphs

Comparing data in context

Evaluation of methods

Year 8

Proportional Reasoning


Percentages Inc/Dec/Profit and Loss

Squares and Roots


Prime factors for HCF and LCM



Scale Drawing

Estimates, Rounding, SF and DP/Calculators


Dividing Fractions

Fractions - Addition and Subtraction

Fractions - Mixed and Improper

Algebraic Indices

Expand and Factorise

Substitution into formula



Venn Diagrams & Sample Spaces

More complex formulae


Writing and solving equations


Mutually Exclusive




Area and perimeter of shapes

Angle rules

Modelling real life situations with equations


Angles in Polygons

Angles on parallel lines





Conversion Graphs/Gradient and Intercepts in contexts

Methods of identifying shapes, angles sides (Labelling ABC)




Unit Conversion



Complex real


Interpreting scale diagrams


Unit conversion for squared and cubed units

Compound area and volume problem solving

Congruence and Similarity





Median and Mode





Proportional Reasoning


Mean, Stem & Leaf

Scale constructions

Year 9

Proportional Reasoning

Units and Rates of Change

Calculating with Fractions





Bar modelling

Proportional graphs





Rearranging formula


Graphs of linear functions

Graphs of other functions



Real life graphs

Complex real life formulae


Constructing and Solving Equations


Graphical Solutions

Trial and Improvement



Area and perimeter of shapes

Angle rules

Modelling real life situations with equations/inequalities  to find solutions


Congruence and Similarity



Angles on Parallel lines

Angles in polygons





Solving equations


Powers and Roots


Standard Form

Similar Triangles










Relative Frequency

Cumulative Frequency and Box plots






Estimating from a graph

Comparing data in context