# Maths

Maths, a lifelong journey of challenges to learn, grow and thrive.

## Vision

**We envision that the learning of mathematic has its own intrinsic value and that our creative curriculum will ensure that all students will develop an enjoyment and appreciation of its relevance and importance today.**

Students will have opportunities to develop in the fundamentals of mathematics, reason mathematically, and apply their mathematics to solve challenging problems. Students will experience the fundamental mathematical knowledge and skills required in everyday life to learn, grow and thrive. They will develop the ability to think mathematically which will empower them to be successful and navigate the challenges of their education and life after school in our fast changing world.

### End points

- 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.

## Domains of Knowledge

- Place Value
- Add and Subtract
- Multiply and Divide
- Fraction
- Decimal
- Percentage
- Shape
- Position and Direction
- Time
- Money
- Units of Measure
- Statistics
- Ration and Proportion
- Algebra

## Key Concepts

Procedural and propositional knowledge |

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, 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. |

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. |

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. |

Tenths, hundredths, thousandths, whole, halves, quarters, compare money, order money, adding decimals, subtracting decimals, decimal sequence, convert units of measure, equivalents, rounding. |

Percentage symbol, whole, equivalent, order, compare, fraction to percentage, percentage to fraction, percentage of amounts. |

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. |

Coordinates, grids, x axis, y axis, left, right, up, down, corresponding vertices, translation, quadrants, reflection, coordinate plain, |

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, |

Pounds, pence, converting between pounds and pence, add, subtract, change, coins, ordering, estimating. |

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. |

Data. data set, bar chart, time graph, timetable, pictogram, tally, frequency table, line graph, pie chart, axes, average/mean, real life graphs. |

Ratio symbol, relative sizes of quantities, scale factor, unequal sharing and grouping, factors, multiples |

Simple formulae, number sequences, linear number sequences, equations, unknowns, variable, equivalent expressions. |

### Progression map