# Maths

## Mathematics Learning Journey

Vision (Intent)

“Every child can achieve regardless of their starting points”

In maths, we want every pupil from KS2 to KS4 to have the same opportunity to fulfil their academic potential. Our aim is for all pupils to think mathematically, enabling them to reason, solve problems and assess risk in a range of contexts whilst also making their learning purposeful and relevant to everyday life.

Our creative Mathematics Mastery curriculum has been developed and personalised to ensure that every child can achieve excellence in mathematics. Pupils can explore their sense of curiosity as they solve a problem, discover different solutions and make links between different areas of mathematics. It provides pupils with a deep understanding of the subject through a concrete, pictorial and abstract approach giving them a varying opportunity throughout their learning journey.

Above all, we want to create resilient students who have the confidence to acquire and use mathematical skills that will stand them in good stead throughout their lifetime.

We will continually review and revise the mathematics program based on new developments in mathematics education and on research regarding how students learn.

End Points (Impact)

• Students will have the confidence to solve mathematical problems in everyday life.
• Students will be able to use mental maths problem solving skills to respond to daily situations.
• Positive attitude and enjoyment towards using numbers and mathematical skills.
• Students will leave Heritage Park and Holgate Meadows with a formal qualification in maths.
• Pupils will be given equal opportunities to gain different qualifications in maths.

Domains of Knowledge (Implementation)

 Rivelin and Loxley Domains Procedural and propositional knowledge Place Value Count, order, compare (ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions), multiples, digits, compare, order, partition, expanded form, Roman numerals, negative numbers, identify, represent, estimate, rounding and value. Add and Subtract Add, subtract, exchange, apply mental methods, apply formal methods, column methods, understand different written word representations, partition, inverse, estimate, whole part model, round to check and estimate. Multiply and divide Times tables, multiples, factors, products, common factors, common multiples, partitioning, divisor, quotient, repeated addition, repeated subtraction, short division, long division, sharing, grouping, lots of, inverse, remainder, column multiplication, exchange, commutative law, distributive law, prime numbers, square numbers, cube numbers, composite numbers, order of operations, estimations. Fraction Numerator, denominator, unit fraction, non-unit fraction, whole, tenths, hundredths, equal parts, part-whole model, equivalence, mixed numbers, improper fractions, fractions of quantity, fractions of shape, fractions on a number line, fractions of amount, add fractions, subtract fractions, multiply fractions, divide fractions, compare, order, convert, simplify, multiply fractions by integers, multiply fractions by fractions, divide fractions by integers, divide fractions by fractions, linear sequences. Decimal Tenths, hundredths, thousandths, whole, halves, quarters, compare money, order money, adding decimals, subtracting decimals, decimal sequence, convert units of measure, equivalents, rounding. Percentage Percentage symbol, whole, equivalent, order, compare, fraction to percentage, percentage to fraction, percentage of amounts. Shape Terms, clockwise, anticlockwise, angles, acute, obtuse, reflex, right angles, horizontal, vertical, parallel, perpendicular, 2d shapes, 3d shapes, symmetry, face, edge, vertices, curved surfaces, prism, sphere, cone, cubes, cuboid, cylinder, pyramids, polygons, square, rectangle, triangle, pentagon, hexagon, rhombus, parallelogram, trapezium, quadrilateral, irregular, regular, scalene, equilateral, isosceles, area, perimeter, degrees, angles on a starlight line, angles around a point, vertical angles, interior angles, nets, area, perimeter. Position and direction Coordinates, grids, x axis, y axis, left, right, up, down, corresponding vertices, translation, quadrants, reflection, coordinate plain. Time Days, weeks, months, years, leap years, hours, minutes, seconds, 12-hour clock, 24-hour clock, duration, comparing, ordering, measuring duration, analogue clock/digital clock and converting. Money Pounds, pence, converting between pounds and pence, add, subtract, change, coins, ordering, estimating. Units of measure Lengths (km/m/cm/mm), mass (kg/g), volume/capacity (ml/l), imperial (pounds/inches/pints), money (pounds/pence), convert, estimate, compare, units squared, units cubed. Statistics Data. data set, bar chart, time graph, timetable, pictogram, tally, frequency table, line graph, pie chart, axes, average/mean, real life graphs. Ratio and proportion Ratio symbol, relative sizes of quantities, scale factor, unequal sharing and grouping, factors, multiples. Algebra Simple formulae, number sequences, linear number sequences, equations, unknowns, variable, equivalent expressions.

 KS4 (Sheaf) Domains of Knowledge Domains Procedural and propositional knowledge Number Place value, calculation, operations, directed numbers, notation, integers and roots, standard form, decimals, percentages, fractions, rounding, sets. Algebra Manipulation, substitutions, notation, solving, graphical, representation, relationships, interpretation, quadratics, nth term, sequences. Ratio, proportion and rates of change Units, scaling, ratio, notation, percentage, increase/decrease, inverse proportion, compound units. Geometry and measures Visualisation, measurement, estimation, use of tools, coordinates, formulae, perimeter, area, construction, sketching, conventions, derivation, angles, polygons, Pythagoras, 2d and 3d shapes, trigonometry. Probability Recording, analysing, describing, frequency, randomness, probability scale, sets, combined events, independent and mutually exclusive events. Statistics Describe, interpret, compare, discrete and continuous, grouped data, averages and range, charts and diagrams, relationships between data, graphs.