Year 6 - Mathematics
Lessons
14 lessons
- Understanding Number: Integers, Place Value, Primes & Fractions Introduces positive and negative integers on a number line, multiplicative place value of decimals, square/prime/composite numbers in arrays, ordering fractions, and connecting common percentages to fractions and decimals.
- Equalities & Inequalities: Balancing the Four Operations Completing, checking and constructing statements of equality and inequality across the four operations, including brackets and the order of operations.
- Patterns & Relationships: Finding and Generalising Rules Creating and representing increasing and decreasing patterns with materials and numbers, and using words to generalise the rule linking each term to its position.
- Calculating with Number: Whole Numbers, Fractions, Decimals & Estimation Flexible and efficient strategies for the four operations with whole numbers, adding/subtracting fractions with related denominators and decimals to 2dp, multiplying decimals, finding fractions/decimals/percentages of a quantity, and estimating and rounding.
- Adding and subtracting fractions A deep-dive lesson on adding and subtracting fractions with the same and related denominators (WA6MNAC2). Students build from the big idea that only same-sized parts can be counted together: starting with same-denominator fluency, using equivalence and fraction walls to rename one fraction when denominators are related (e.g. thirds and sixths), and extending to mixed numbers, answers beyond one whole, and worded problems.
- Percentage, fractions and decimals Students learn that percentages, fractions and decimals are three names for the same amount (WA6MNAUN5). Starting from the meaning of per cent as a ratio out of 100, they use hundred grids and a triple number line to connect the benchmarks 10%, 25%, 50%, 75% and 100% to their fraction and decimal forms, convert between all three notations, order mixed sets, and apply the ideas to shopping discounts, including why the size of the whole matters when comparing percentages of different wholes.
- Financial Mathematics: Savings Goals, Expenses & Interest Developing savings plans, predicting expenses, and understanding that money saved with a bank earns interest.
- Modelling with Number: Solving Real-World Problems Applying the mathematical modelling process to real-world situations involving whole numbers, order of operations and fractions: analyse, represent, solve, and interpret/communicate findings.
- 2D Space & Structures: Transformations, Units, Area, Angles & the Cartesian Plane Translations, reflections and rotations of 2D shapes; converting metric units of length, mass and capacity; area of rectangles; angle relationships; and locating points on the Cartesian plane in four quadrants.
- 3D Space & Structures: Prisms, Pyramids & Volume Visualising, sketching and constructing 3D objects including prisms and pyramids, and describing/testing a sequence of steps to determine the volume of rectangular prisms.
- Non-Spatial Measurement: Time, Timetables & Duration Using timetables and itineraries in 12- and 24-hour time to determine the duration of events and journeys.
- Modelling with Measurement & Geometry: Real-World Applications Applying the mathematical modelling process to real-world situations involving transformations, prisms/pyramids, the Cartesian plane, metric conversion, area, volume, and duration.
- Probability: The 0–1 Scale, Experiments & Simulations Ordering everyday chance events on a 0–1 scale, and conducting repeated chance experiments and simulations to compare expected and observed frequencies as the number of trials increases.
- Statistics: Interpreting Displays & Running a Data Investigation Interpreting data displays (including side-by-side column graphs) using mode, range and shape; analysing how display features influence an audience; and carrying out a full real-world data investigation.