Description

KS3 Mathematics

For Autumn 2026

In the live class sessions, material will be taught, and problemswill be worked through. Students are encouraged to participate and ask questions.  Homework is assigned from the work covered in the live sessions. The goal of the classes is to provide a strong foundation for students to be able to move on to iGCSE maths and beyond. Each year, we cycle around the same topic areas, each time adding a layer of depth. This allows the transition to iGCSE to be smoother, as students will be revisiting many of the concepts they are already familiar with,

We will follow the Cambridge Lower Secondary Maths, 2nd Edition textbooks to prepare students for iGCSE Mathematics.

KS3 Maths Year 2 Course Details

Classes will be separated by KS3 Year as follows. Student ages may vary.

• KS3 Yr 1 for Year 7/P7/Grade 6 Maths
• KS3 Yr 2 for Year 8/S1/Grade 7 Maths
• KS3 Yr 3 for Year 9/S2/Grade 8 Maths

In each class, we will complete the Math curriculum over two semesters (30 weeks total) in our live online sessions.

Age: Capable 10-year-old (turning 11 in the school year) – 14 years

Day & Time: All UK Timezones (Two 40-minute sessions with a short break in between)

• KS3 Yr 1/Year 7/P7/Grade 6 Maths  – Thursdays 12:30-2 pm
• KS3 Yr 2/Year 8/S1/Grade 7 Maths – Thursdays 11 am-12:30 pm
• KS3 Yr 3/Year 9/S2/Grade 8 Maths – Mondays 11 am -12:30 pm

Location: Zoom Meeting

Tutors: Emma Cummings & TBD

Required Materials: Please select the proper textbook for the year your student is registered for.

• KS3 Yr 1/Year 7/P7/Grade 6 Maths: Lower Secondary Maths Student’s Book: Stage 7 (Collins Cambridge Lower Secondary Maths)
• KS3 Yr 2/Year 8/S1/Grade 7 Maths Lower Secondary Maths Student’s Book: Stage 8 (Collins Cambridge Lower Secondary Maths)
• KS3 Yr 3/Year 9/S2/Grade 8 Maths Lower Secondary Maths Student’s Book: Stage 9 (Collins Cambridge Lower Secondary Maths)

Also required for all classes:

• Scientific Calculator
• Graph paper
• Maths Kit
• Tracing paper
• Math Facts Helps (optional)

KS3 Mathematics Course Details:

KS3 Mathematics will build on the foundation laid in KS2 and prepare the student for iGCSE Maths in the future. This is done through the three core topic areas: 

• Number
• Algebra, Geometry and Measure
• Statistics and Probability.

KS3 Mathematics Course Highlights

•  A minimum of 1 hour live class time per week
•  A curriculum that aligns with the National Curriculum
•  Small interactive classes.

Course Topics by KS3 Mathematics Year/Level

In KS3 Mathematics, we will learn and strengthen the key mathematical skills required for further study of maths and the sciences at the GCSE/US high school level. We will cover:

KS3 Yr 1/Year 7/P7/Grade 6 Maths 

Minimum Age: Turning 11 this academic year.

Number

Under the topic of number, we will include:

• Divisibility Tests
• Lowest Common Multiples and Highest Common Facts
• BIDMAS
• Indicies 
• Multiplication and Division by Powers of 10
• Rounding
• Fractions, Decimals and Percentages
• Ratio and Proportion

Algebra, Geometry, and Measure

We will introduce those skills required for success in algebra, which begins with the idea of replacing numbers with symbols. Also included in this section are:

• Forming expressions and equations
• Orders of algebraic operations
• Inequalities
• Sequences
• Congruency of shapes, circles and 3D Shapes
• Polygon symmetry
• Angles about a point, in quadrilaterals, and on parallel lines.
• Area of a triangle
• Converting units
• Surface area and volume of cuboids
• Scale drawings
• Transformations

Statistics and Probability

Many of the areas explored under this section involve how to collect and work with data. Topics include:

• Data types
• Collection methods
• Presenting and Interpreting Data
• Mean, Median, and Range
• Calculating probabilities
• Waffle diagrams and pie charts
• Info charts, line graphs and scatter graphs.

KS3 Yr 2/Year 8/S1/Grade 7 Maths

Minimum Age: Turning 12 this academic year.

Number

Areas covered in the number topic in Year 8/S1 are:

• Negative numbers
• Indices and roots
• Prime factors and rational numbers
• Place Value including decimals
• Rounding and significant figures
• Fractions: subtraction of mixed numbers
• Order of operators
• Fractions, decimals and percentages
• Percentage increase and decrease
• Ratio and proportion

Algebra, Geometry and Measure

Building on the foundation already laid, we will continue to explore the formation of algebraic expressions, equations and formulae. We will also include:

• Expanding and factorising
• Solving simple equations
• Functions
• Changing the subject
• Sequences
• Quadrilaterals and polygon symmetry 
• 3D shapes
• Circumference of a circle
• Angles and bearings
• Triangles
• Converting between miles and kilometres
• Area of 2D shapes
• Surface area of 3D shapes
• Midpoint of a line
• Translations, Reflections, Rotations and Enlargements

Statistics and Probability 

Included in this section are:

• Data collection methods
• Frequency tables
• Bar charts
• Stem-and-leaf diagrams
• Complementary events
• Tree diagrams.

KS3 Yr 3/Year 9/S2/Grade 8 Maths

Minimum Age: Turning 13 this academic year.

Number

Building on the skills already being built, we will continue to build confidence in our use of numbers and performing operations with numbers, including:

• Fractions: equivalent fractions, simplifying fractions, addition, subtraction, multiplication, and division.
• Rounding and powers of 10
• Mental methods for calculations
• Square and cube roots
• Indices
• Percentages
• Calculations with decimals
• Ratio and proportion

Algebra, Geometry and Measure

Included in this section, we will look at:

• Algebraic expressions: index laws, and factorising
• Expanding brackets
• Sequences
• Simultaneous equations
• 3D shapes: symmetry, planes and elevations
• Tessellations and transformations
• Interior and exterior angles
• Enlargements and properties of transformations.
• Speed and land area
• Compound measure
• Area and volume of prisms
• Pythagoras theorem
• Bearings, maps and loci

Statistics and Probability 

Finally, our exploration of statistics and probabilities will include:

• Data collection sheets and frequency tables
• Frequency diagrams
• Stem and leaf diagrams
• Line graphs and scatter graphs
• Mutually exclusive outcomes
• Relative frequency.

The foundation of KS3 Mathematics should enable students to be confident moving into the next phase of their maths education, and also give them the maths tools needed for the study of science.

Laying the Foundation for iGCSE Maths

What are the key skills required for starting iGCSE Maths? Knowing that your teen is ready for the step up to iGCSE maths can be challenging, and knowing how best to prepare a younger teen to be ready when the time is right can be challenging.

As a home educator, I have found it difficult to find a good curriculum for my younger teens. There are many good maths curricula for primary-aged children. But the UK’s early high school curriculum is harder to find. Therefore, we have worked hard to create a maths curriculum to prepare students for iGCSE maths.

Watch on YouTube.

Sample Lessons available here.

This class is geared toward P7-S2 (Y7-Y9) 6th-8th grade students, but is equally open to younger students who are advanced in their maths skills or older students taking maths a bit slower. Students aged 14+, following the US Qualifications model, are able to put this course on a transcript as proof of their maths education level.

KS3 Maths Live, Online Classes

Classes will be interactive, and due to the live nature of the classes, they will be tailored to the individual needs of the students. We will use a number of interactive technologies to help gain an understanding of the concepts of mathematics.

For any inquiries about the course, please contact us at Arise@AriseHomeEducation.com

Spaces are limited, secure your spot today (payment options available), and prepare for an unforgettable home education experience. This class will run with a minimum of 4 students.

More Maths & Science Resources

• Faith & Science Podcast
• iGCSE Maths Information
• Math We Love: Top Maths Choices for Your Homeschool