KS3 · Years 7 to 9
KS3 tutoring that builds GCSE-ready habits
Stay ahead in Maths, Science and English from Year 7.
- Max 10 students per group
- 2-hour lesson + 1-hour clinic
- Monthly assessments
- Online or in person
- 100%
- pass rate across every exam our students have sat
- 3×
- the progress of a typical school year, on average
- 20,630+
- hours of teaching experience across our tutors
- 1,370+
- students taught
A week at TriForth
Three hours every week, plus a monthly check-in.
BeforePreparation with our resources AfterHomework that locks it in
Our programme
Every national curriculum requirement for each year, split across the school year. Open any topic to see exactly what is covered.
Autumn
September to December
01Number: Place value, Ordering & inequality symbols, Primes, factors & multiples
- Place value for decimals and integers
- Order integers, decimals and fractions; inequality symbols
- Primes, factors, multiples, HCF, LCM and prime factorisation
02Number: Four operations, Order of operations, Inverse operations
- Four operations with integers, decimals and fractions
- Order of operations, including powers and roots
- Inverse operations
03Algebra: Algebraic notation
- Algebraic notation: ab for a × b
- Algebraic notation: 3y for y + y + y
- Algebraic notation: a² and a³
- Algebraic notation: a/b for a ÷ b
- Use and interpret algebraic notation, including: brackets
04Geometry: Area & volume formulae, Measuring & scale drawings, Geometric notation
- Area of triangles, parallelograms and trapezia; volume of prisms
- Draw and measure lines and angles; scale drawings
- Geometric terms and notation; symmetry of polygons
05Probability: Probability experiments & scale, Sum of probabilities
- Probability outcomes and the 0–1 scale
- Probabilities of all outcomes sum to 1
06Working mathematically: Develop fluency
- Extend number skills to decimals, fractions, powers and roots
- Choose calculation strategies for complex problems
- Use algebra to generalise arithmetic
- Substitute, rearrange, simplify and solve equations
- Move between numerical, algebraic and graphical forms
- Linear and simple quadratic functions
Spring
January to March
01Number: Fractions & decimals, Percentages, Fractions & percentages as operators
- Convert between terminating decimals and fractions
- Percentages, percentage change and comparing quantities
- Interpret fractions and percentages as operators
02Algebra: Substitution, Algebraic vocabulary, Simplifying & manipulating
- Substitute values into formulae
- Expressions, equations, inequalities, terms and factors
- Collect like terms
- Expand single brackets
03Geometry: Properties of shapes, Transformations, Angle facts
- Properties of triangles, quadrilaterals and circles
- Translations, rotations and reflections
- Angles at a point, on a line and vertically opposite
04Statistics: Averages, spread & distributions, Tables, charts & diagrams
- Mean, median, mode and range; compare distributions
- Draw and interpret tables, bar charts, pie charts and pictograms
05Working mathematically: Develop fluency, Reason mathematically
- Use precise mathematical language
- Connect number, algebra and graphs
- Ratio and proportion with measures and geometry
- Express relationships between variables
- Test conjectures; find proofs or counter-examples
- Deductive reasoning in geometry, number and algebra
Summer
April to July
01Number: Measures, Rounding, Calculators & technology
- Standard units of measure
- Round to decimal places and significant figures
- Use a calculator accurately
02Algebra: Linear equations, Coordinates, Sequences
- Solve linear equations
- Work with coordinates in all four quadrants
- Term-to-term and position-to-term sequence rules
03Ratio and proportion: Converting units, Fraction of a quantity, Ratio notation
- Convert between standard units
- Express one quantity as a fraction of another
- Use ratio notation, including reduction to simplest form
04Geometry: Angles in polygons
- Angle sums in triangles and polygons
05Working mathematically: Reason mathematically, Solve problems
- Additive, multiplicative and proportional reasoning
- What can be inferred from statistics and probability
- Solve multi-step problems
- Financial maths problems
- Model situations mathematically
- Tackle unfamiliar, non-routine problems
Autumn
September to December
01Number: Primes, factors & multiples, Four operations, Powers & roots
- Primes, factors, multiples, HCF, LCM and prime factorisation
- Four operations with integers, decimals and fractions
- Powers and roots; exact roots versus decimals
02Algebra: Algebraic notation, Simplifying & manipulating
- Fractional coefficients
- Expand single brackets
- Factorise by taking out common factors
03Ratio and proportion: Converting units, Scale, Ratio notation
- Convert between standard units
- Use scale factors, scale diagrams and maps
- Use ratio notation, including reduction to simplest form
04Geometry: Area & volume formulae, Circles & composite shapes, Constructions
- Area of triangles, parallelograms and trapezia; volume of prisms
- Perimeter and area of circles and composite shapes
- Ruler and compass constructions
05Probability: Sets & Venn diagrams, Sample spaces
- Sets and Venn diagrams
- Sample spaces and theoretical probability
06Statistics: Averages, spread & distributions, Bivariate data & scatter graphs
- Mean, median, mode and range; compare distributions
- Scatter graphs and correlation
07Working mathematically: Develop fluency
- Extend number skills to decimals, fractions, powers and roots
- Choose calculation strategies for complex problems
- Use algebra to generalise arithmetic
- Substitute, rearrange, simplify and solve equations
- Move between numerical, algebraic and graphical forms
- Linear and simple quadratic functions
Spring
January to March
01Number: Standard form, Percentages, Rounding
- Standard form
- Percentages, percentage change and comparing quantities
- Round to decimal places and significant figures
02Algebra: Formulae, Modelling, Linear equations
- Use and rearrange formulae
- Model situations with expressions, formulae and graphs
- Solve linear equations
03Ratio and proportion: Sharing in a ratio, Ratio & fractions, Percentage change & simple interest
- Share a quantity in a ratio
- Ratios as fractions
- Percentage change, reverse percentages and simple interest
04Geometry: Transformations, Congruence & enlargement, Parallel lines
- Translations, rotations and reflections
- Congruent triangles and enlargement
- Alternate and corresponding angles
05Working mathematically: Develop fluency, Reason mathematically
- Use precise mathematical language
- Connect number, algebra and graphs
- Ratio and proportion with measures and geometry
- Express relationships between variables
- Test conjectures; find proofs or counter-examples
- Deductive reasoning in geometry, number and algebra
Summer
April to July
01Number: Calculators & technology
- Use a calculator accurately
02Algebra: Linear & quadratic graphs, Interpreting relationships, Sequences
- Plot linear and quadratic graphs
- Interpret relationships algebraically and graphically
- Recognise arithmetic sequences and find the nth term
03Ratio and proportion: Compound units
- Compound units: speed, unit pricing and density
04Geometry: Angles in polygons, 3-D shapes, Algebra & geometry
- Angle sums in triangles and polygons
- Properties of 3D shapes
- Interpret relationships algebraically and geometrically
05Working mathematically: Reason mathematically, Solve problems
- Additive, multiplicative and proportional reasoning
- What can be inferred from statistics and probability
- Solve multi-step problems
- Financial maths problems
- Model situations mathematically
- Tackle unfamiliar, non-routine problems
Autumn
September to December
01Number: Standard form, Estimation & error intervals, Calculators & technology
- Standard form
- Estimation and error intervals
- Use a calculator accurately
02Algebra: Simplifying & manipulating, Formulae, Linear & quadratic graphs
- Expand double brackets
- Use and rearrange formulae
- Plot linear and quadratic graphs
03Ratio and proportion: Ratio & linear functions, Percentage change & simple interest, Direct & inverse proportion
- Link ratio to fractions and linear functions
- Percentage change, reverse percentages and simple interest
- Direct and inverse proportion
04Geometry: Area & volume formulae, Triangle conventions & congruence, Congruence & enlargement
- Area of triangles, parallelograms and trapezia; volume of prisms
- Label triangles; congruence criteria
- Congruent triangles and enlargement
05Working mathematically: Develop fluency
- Extend number skills to decimals, fractions, powers and roots
- Choose calculation strategies for complex problems
- Use algebra to generalise arithmetic
- Substitute, rearrange, simplify and solve equations
- Move between numerical, algebraic and graphical forms
- Linear and simple quadratic functions
Spring
January to March
01Number: Number sets
- Integers, rational and real numbers
02Algebra: Interpreting relationships, y = mx + c, Graphical solutions
- Interpret relationships algebraically and graphically
- y = mx + c: gradients and intercepts
- Estimate values and solve equations from graphs
03Geometry: Geometric proof & Pythagoras, Pythagoras & trigonometry, Algebra & geometry
- Use angle facts, congruence and similarity in simple proofs
- Pythagoras' theorem and trigonometric ratios
- Interpret relationships algebraically and geometrically
04Working mathematically: Develop fluency, Reason mathematically
- Use precise mathematical language
- Connect number, algebra and graphs
- Ratio and proportion with measures and geometry
- Express relationships between variables
- Test conjectures; find proofs or counter-examples
- Deductive reasoning in geometry, number and algebra
Summer
April to July
01Algebra: Real-life graphs, Sequences
- Read solutions from real-life, exponential and reciprocal graphs
- Geometric and other sequences
02Ratio and proportion: Compound units
- Compound units: speed, unit pricing and density
03Probability: Sample spaces
- Sample spaces and theoretical probability
04Working mathematically: Reason mathematically, Solve problems
- Additive, multiplicative and proportional reasoning
- What can be inferred from statistics and probability
- Solve multi-step problems
- Financial maths problems
- Model situations mathematically
- Tackle unfamiliar, non-routine problems
Built from the full National Curriculum in England: key stage 3 programmes of study (DfE). Schools can order topics differently, so we check what your child’s class is covering at the assessment.
The TriForth Method
A proven cycle that turns every lesson into lasting progress.
- 01PrepareA head start on every topic, before the lesson.
- 02LearnClear teaching that checks understanding as it goes.
- 03PractiseGuided first, then on their own, until it sticks.
- 04ReviewMistakes found, fixed and followed up.
What your child walks away with
Habits and skills that carry them into GCSE.
- 01
Ahead before GCSE starts
Secure knowledge of the topics every GCSE course builds on.
- 02
Study habits that last
Homework on time and revision that starts early.
- 03
Answers that earn marks
Clear working, written the way examiners want to see it.
- 04
No hidden gaps
Weak topics caught early, before they become GCSE problems.
You’ll always know how they’re doing
Live updates, monthly results and a parents’ evening every term.
Monthly assessment · Maths74%9% since last month
Homework this month6 of 6 completed
Parents’ evening bookedAutumn term review
Why start before GCSE?
GCSE builds directly on KS3. Closing gaps now is far easier than rescuing grades in Year 11.
Does it match what my child does at school?
Yes. We follow the national curriculum, so lessons support what they cover at school.
What is the clinic?
An hour of supported practice after every lesson, where tutors help with anything that needs another look.
How will I know it is working?
Monthly assessments, a live parent dashboard and a parents’ evening every term.
My child is doing well at school. Is this still useful?
Yes. Strong students use KS3 to get ahead, so GCSE starts as revision rather than new learning.
Do you set homework?
Yes, every week. The clinic gives time to start it with a tutor on hand.
Can my child move up to GCSE with you?
Yes. Students carry on into our GCSE groups with the same structure and tutors they know.