Numbers, Operations and Patterns
23 summaries- Place value to nine digitsWhat each digit in a number is worth, and numbers in expanded notation.
- Compare and orderComparing numbers with >, < and =, and putting them in ascending or descending order.
- Rounding and estimatingRounding to the nearest 10, 100 or 1 000, and estimating to check your answer.
- Addition and subtractionAdding and subtracting in columns, with carrying and borrowing.
- MultiplicationTimes tables, × 10 and × 100, and long multiplication step by step.
- Division with two-digit divisorsSharing equally, the remainder, and long division with Divide-Multiply-Subtract-Bring down.
- Factors, HCF and LCMMultiples, factors, HCF and LCM, and divisibility rules.
- Prime numbersPrimes have exactly two factors; composite numbers have more.
- FractionsNumerator and denominator, comparing, equivalent fractions and adding and subtracting fractions.
- Decimal fractionsTenths, hundredths and the decimal comma; comparing and calculating with decimals.
- PercentagesPercent means out of 100: percentage of an amount and marks as a percentage.
- Ratio and rateRatios compare amounts of the same kind; rates compare different units.
- PatternsFinding the rule of a number pattern, and working out far terms with a position rule.
- Number sentencesNumber sentences with an unknown, solved with the inverse operation.
- Flow diagramsInput, rule and output, and working back with the inverse rule.
- Word problemsRead, underline, choose the operation and answer with units.
- Order of operationsBODMAS: brackets, orders, division and multiplication, addition and subtraction.
- Properties of operationsCommutative, associative and distributive: shortcuts for mental maths.
- Profit, loss and budgetingCost price, selling price, profit, loss, discount and budgets.
- Patterns: working out far termsFinding the rule of a number pattern, and working out far terms with a position rule.
- Multiplication: 4-digit × 3-digitTimes tables, × 10 and × 100, and long multiplication step by step.
- Division: 4-digit ÷ 3-digitSharing equally, the remainder, and long division with Divide-Multiply-Subtract-Bring down.
- Mental maths: times tables to 12 × 12Shortcuts and tricks for the times tables to 12 × 12.
Space, Measurement and Data Handling
24 summaries- TimeReading analogue and digital clocks, and working out elapsed time.
- AnglesAcute, right, obtuse, straight and reflex, and measuring with a protractor.
- Lengthmm, cm, m and km: choosing the right unit, measuring and converting.
- MassGrams and kilograms, converting, and reading scales correctly.
- CapacityMillilitres and litres, converting, and reading a measuring jug correctly.
- VolumeCounting cubes and volume = length × breadth × height.
- PerimeterThe distance around a shape, and the formulas for a rectangle and square.
- AreaThe space inside a shape: count squares or use l × b.
- 2D shapesPolygons and quadrilaterals and their properties.
- SymmetryLines of symmetry: mirror images on both sides.
- 3D objectsFaces, edges and vertices of prisms and pyramids, and flat and curved surfaces.
- Data handlingCollecting, organising and showing data in bar graphs, pictographs and pie charts.
- ProbabilityFrom impossible to certain, outcomes and chance as a fraction.
- Rotational symmetryShapes that look the same when you turn them, and the order of rotational symmetry.
- Time zonesWhy time differs around the world, and how to calculate between time zones.
- Transformations: slide, flip and turnTranslation, reflection and rotation.
- Enlarging and reducing by a scale factorEnlarging and reducing shapes by a scale factor on grid paper.
- Position and movement on maps and gridsGrid references, compass directions and describing routes.
- TemperatureDegrees Celsius, reading a thermometer and temperature differences.
- History of measurementFrom cubits and spans to the metric system: why we use standard units.
- Mass: reading scales and comparing massesReading kitchen, bathroom and balance scales correctly, and comparing masses.
- Views: where are you looking from?How an object looks from the front, the side and the top.
- Length: rulers, tape measures and problemsmm, cm, m and km: choosing the right unit, measuring and converting. Word problems with length: same unit first, then calculate.
- Probability: outcomes and experimentsFrom impossible to certain, outcomes and chance as a fraction.
Extension
3 summariesFor parents
- Choose one topic per evening. Let your child work the examples on paper.
- The ticks (“I know this”) are saved on this device only. We never ask for names or emails.
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