Our programme helps children of all ages develop Maths
skills
and a love of numbers
How old is your child?
Number & Place Value
Pupils count forwards and backwards to at
least 100. They begin counting in 1s, 2s, 5s
and 10s.
Numbers are read and written to 100 using
numerals and words. Pupils match numerals to
quantities.
Children identify one more and one less than a
given number. This is done practically and
mentally.
Pupils compare numbers using greater than,
less than and equal symbols. Understanding is
supported using objects and number lines.
Numbers are ordered from smallest to largest.
Reasoning is encouraged verbally.
Calculation
Pupils add and subtract one-digit and
two-digit numbers within 20. Concrete objects
and pictorial representations are used.
Addition is understood as combining groups.
Subtraction is understood as taking away.
Children write number sentences using +, − and
=. They explain what the symbols mean.
Mental calculation strategies are introduced.
Counting on and back is emphasised.
Pupils solve simple one-step problems
involving addition and subtraction. Problems
are linked to real-life contexts.
Fractions
Pupils recognise halves and quarters of shapes
and quantities. Practical resources are used.
Children understand fractions as equal parts
of a whole. Language such as “equal” is
reinforced
Fractions are linked to sharing and grouping.
Simple visual representations are used..
Pupils find half of small even numbers. This
is done through grouping.
Fraction vocabulary is introduced and used
accurately. Misconceptions are addressed
early.
Measurement
Pupils compare and measure lengths, heights,
weights and capacities. Non-standard and
standard units are used.
Time is introduced through sequencing events.
Pupils use language such as before, after and
next
Children recognise coins and notes. Simple
money problems are explored.
Pupils tell the time to the hour and half
past. Analogue clocks are used.
Measurement language is reinforced across
subjects. Comparisons are verbalised.
Geometry & Statistics
Pupils recognise common 2D and 3D shapes.
Shapes are named and described.
Children describe shapes using properties such
as sides and corners. Practical exploration is
encouraged.
Position and direction are described using
everyday language. Movement is explored
practically.
Simple pictograms and tables are interpreted.
Data is discussed verbally.
Pupils ask and answer questions about data.
Reasoning is encouraged.
Number & Place Value
Pupils count to and across 100 in steps of 2,
5 and 10. Patterns in numbers are recognised.
Numbers are read and written to 100. Place
value of tens and ones is understood.
Pupils compare and order numbers using
symbols. Justification is encouraged.
Children estimate numbers using number lines.
Approximation skills are developed.
Number facts are recalled more fluently.
Confidence increases.
Calculation
Pupils add and subtract two-digit numbers with
and without regrouping. Written methods are
introduced.
Mental strategies such as partitioning are
developed. Efficiency is encouraged.
Multiplication is introduced as repeated
addition. Arrays and grouping are used.
Division is introduced as sharing and
grouping. Remainders are discussed informally.
One- and two-step problems are solved.
Reasoning and explanation are required.
Fractions
Pupils recognise ⅓, ¼, ½, ⅔ and ¾ of shapes
and quantities. Equal parts are emphasised.
Fractions are compared using practical
resources. Visual models support
understanding.
Pupils find fractions of quantities.
Calculation is supported by grouping.
Fractions are linked to measures and shapes.
Cross-topic understanding is encouraged.
Fraction language is used accurately.
Misconceptions are addressed.
Measurement
Pupils measure length, mass, temperature and
capacity using standard units. Accuracy
improves.
Money problems involve finding totals and
change. Real-life contexts are used.
Time is read to the nearest 5 minutes.
Analogue and digital clocks are used.
Simple problems involving time are solved.
Reasoning is encouraged.
Measurement vocabulary is applied
consistently. Units are chosen appropriately
Geometry & Statistics
Pupils identify properties of 2D and 3D
shapes. Faces, edges and vertices are named.
Lines of symmetry are recognised. Shapes are
folded and tested.
Position and direction are described using
turns and angles. Movement is recorded.
Pupils interpret simple bar charts and
pictograms. Data is compared.
Questions are posed and answered using data.
Conclusions are discussed.
Number & Place Value
Pupils count in multiples of 4, 8, 50 and 100.
Patterns are explored.
Numbers are read and written to 1,000.
Hundreds, tens and ones are understood.
Pupils compare and order numbers to 1,000.
Reasoning is explicit.
Rounding to the nearest 10 and 100 is
introduced. Estimation skills develop.
Number lines are used to support
understanding. Mental representations
strengthen.
Calculation
Pupils add and subtract numbers with up to
three digits. Formal written methods are
introduced.
Multiplication tables for 2, 3, 4, 5, 8 and 10
are recalled. Fluency is prioritised.
Multiplication and division are applied using
mental and written methods. Understanding of
inverse operations develops.
Two-step problems are solved using all four
operations. Strategies are explained.
Estimation is used to check answers.
Reasonableness is discussed.
Fractions
Pupils recognise and show fractions on number
lines. Unit and non-unit fractions are
explored.
Equivalent fractions are introduced visually.
Comparisons are made.
Pupils add and subtract fractions with the
same denominator. Conceptual understanding is
emphasised.
Fractions of quantities are calculated.
Reasoning is required.
Fraction terminology is used accurately. Links
to division are made.
Measurement
Pupils measure and compare lengths, mass and
volume. Standard units are used accurately.
Perimeter is introduced. Shapes are measured
practically.
Time is read and written using Roman numerals.
Durations are calculated.
Money problems involve addition and
subtraction. Contexts increase in complexity.
Measurement problems require reasoning. Units
are selected independently.
Geometry & Statistics
Pupils identify angles as turns. Right angles
are recognised.
Shapes are classified based on properties.
Mathematical language is precise.
Horizontal, vertical, parallel and
perpendicular lines are identified. Visual
examples are used.
Bar charts and tables are interpreted. Data is
analysed.
Pupils draw conclusions from data.
Explanations are clear.
Number
Pupils extend understanding of integers,
decimals, fractions and percentages. Conversions
are fluent.
Powers, roots and standard form are introduced.
Reasoning is algebraic.
Ratio and proportion are applied across
contexts. Scaling is explained clearly.
Mental and written calculations are efficient.
Estimation is used to check results.
Pupils solve problems involving accuracy and
bounds. Precision is emphasised.
Algebra
Pupils simplify expressions and use algebraic
notation accurately. Terms and coefficients are
understood
Linear equations are solved formally. Solutions
are checked.
Sequences are generated and described
algebraically. Patterns are generalised
Formulae are substituted into and rearranged.
Mathematical reasoning is explicit
Graphs of linear functions are plotted and
interpreted. Connections to equations are made.
Geometry & Measures
Angle rules are applied confidently. Proof-style
reasoning begins
Properties of shapes are analysed algebraically.
Deduction is encouraged.
Area, volume and surface area are calculated.
Formulae are derived and used.
Transformations are described mathematically.
Invariance is understood
Trigonometry is introduced conceptually.
Real-world applications are explored.
Geometry & Measures
Angle rules are applied confidently. Proof-style
reasoning begins.
Properties of shapes are analysed algebraically.
Deduction is encouraged.
Area, volume and surface area are calculated.
Formulae are derived and used.
Transformations are described mathematically.
Invariance is understood.
Trigonometry is introduced conceptually.
Real-world applications are explored.
Statistics & Probability
Data is represented using advanced graphs.
Interpretation is critical.
Averages and spread are compared. Mean, median
and range are used appropriately.
Probability is expressed numerically and
verbally. Experimental probability is explored.
Combined events are introduced. Reasoning
becomes formal.
Statistical conclusions are evaluated. Bias and
reliability are discussed.
Number
Pupils perform calculations with integers,
decimals and fractions. Accuracy is essential.
Percentages are used in real-life contexts.
Functional problem-solving is prioritised.
Ratio and proportion problems are solved.
Scaling is explained clearly.
Standard form is introduced at a basic level.
Interpretation is supported.
Estimation is used to check answers.
Reasonableness is discussed.
Algebra
Linear equations and inequalities are solved.
Methods are systematic.
Expressions are simplified and expanded.
Factorisation is introduced.
Sequences are described and continued. Algebraic
rules are identified.
Graphs of linear equations are plotted.
Interpretation is straightforward.
Algebra is applied in contextual problems.
Understanding is practical.
Geometry & Measures
Angle rules are applied confidently. Shapes are
analysed.
Perimeter, area and volume are calculated.
Formulae are used correctly.
Pythagoras’ theorem is applied in simple
contexts. Diagrams support reasoning.
Transformations are described accurately.
Symmetry is identified.
Measurement problems involve compound units.
Units are converted correctly.
Statistics & Probability
Data is represented using charts and graphs.
Interpretation is clear.
Averages are calculated and compared. Contextual
understanding is required.
Probability of single events is calculated.
Outcomes are listed systematically.
Experimental probability is compared to
theoretical probability. Conclusions are drawn.
Statistical problems are solved in context.
Communication is clear.
Geometry & Statistics
Pupils measure and calculate angles in shapes.
Knowledge of angle sums begins to develop.
Shapes are reflected and translated on
coordinate grids. Coordinates are used
accurately.
Properties of 2D and 3D shapes are described in
detail. Mathematical language is precise.
Line graphs are interpreted and drawn. Data
trends are explained.
Number & Place Value
Complex calculations involving fractions, surds
and indices are performed accurately. Fluency is
expected.
Percentages and compound interest problems are
solved. Financial reasoning is developed.
Ratio and proportion are applied in algebraic
contexts. Justification is formal.
Standard form is used confidently in
calculations. Scientific applications are
included.
Bounds and error intervals are calculated.
Accuracy is critical.
Algebra
Quadratic expressions are expanded and
factorised. Completing the square is introduced.
Quadratic and simultaneous equations are solved.
Methods are compared.
Algebraic fractions are simplified. Restrictions
are understood.
Graphs of quadratic, cubic and reciprocal
functions are interpreted. Links to equations
are explicit.
Algebraic proof is introduced. Logical reasoning
is required.
Geometry & Measures
Circle theorems are applied rigorously.
Proof-style explanations are required.
Trigonometry is applied in 2D and 3D problems.
Accuracy is essential.
Similarity and congruence are used to solve
problems. Scale factors are explained.
Vector geometry is introduced. Algebraic
representation is used.
Advanced transformations are analysed.
Invariance is discussed.
Statistics & Probability
Cumulative frequency and box plots are
interpreted. Comparisons are analytical.
Histograms are constructed and analysed.
Frequency density is understood.
Probability trees and combined events are
solved. Conditional probability is introduced.
Statistical sampling methods are evaluated. Bias
is analysed.
Data interpretation requires justification.
Conclusions are critically assessed.
How does Prime Learning work?
Each student is assessed at the beginning of their Prime Learning
journey to find their current level of ability. Assigned work is then
set according to their ability, regardless of age or school year so
they can focus on developing exactly what will benefit them most.
60 minutes at Prime Learning
Students attend their classes, online or at the centre, to
ensure the Instructor can develop their self-learning and
academic skills.
Students prepare worksheets before attending their class.
Worksheets are completed daily to strengthen learning
consistency.
Instructors provide personalized guidance based on student
progress.
Students correct their own worksheets to build confidence
and accuracy.
Consistent practice helps students achieve perfect scores.
