Numbers, Operations and Patterns
18 summaries- Place value and expanded notationWhat each digit in a number is worth, and numbers in expanded notation.
- Compare and order whole numbersComparing numbers with >, < and =, and putting them in ascending or descending order.
- Rounding to 10, 100 and 1 000Rounding 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 and long divisionSharing equally, the remainder, and long division with Divide-Multiply-Subtract-Bring down.
- Multiples and factorsMultiples, factors, and divisibility rules.
- Properties of operationsCommutative, associative and distributive: shortcuts for mental maths.
- Fractions: compare, equivalent and addNumerator and denominator, comparing, equivalent fractions and adding and subtracting with the same denominator.
- Fraction of a quantityHow to work out ¾ of 24: divide by the denominator, multiply by the numerator.
- Numeric and geometric patternsFinding the rule of a number pattern, and working out far terms with a position rule.
- Number sentences and inverse operationsNumber 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.
- RatioRatios compare amounts of the same kind; rates compare different units.
- Ascending and descending orderComparing numbers with >, < and =, and putting them in ascending or descending order.
- Number linesFinding the step between marks and reading and placing numbers on a number line.
- Number puzzles: product, sum and differenceSum, difference and product: solving puzzles by smart trying.
Space, Measurement and Data Handling
23 summaries- Time: analogue, digital and elapsedReading analogue and digital clocks, and working out elapsed time.
- Length and conversionmm, cm, m and km: choosing the right unit, measuring and converting.
- Mass and conversionGrams and kilograms, converting, and reading scales correctly.
- Capacity and volumeMillilitres and litres, converting, and reading a measuring jug correctly. Finding volume by packing cubes and counting them layer by layer.
- PerimeterThe distance around a shape, and the formulas for a rectangle and square.
- AreaThe space inside a shape: count squares on a grid.
- 2D shapes and quadrilateralsPolygons and quadrilaterals and their properties.
- 3D objectsFaces, edges and vertices of prisms and pyramids, and flat and curved surfaces.
- Data handling and bar graphsCollecting, organising and showing data in bar graphs and pictographs.
- Reading the measuring jugMillilitres and litres, converting, and reading a measuring jug correctly.
- Data handling: tables and graphsFilling in and reading tally marks and frequency tables. Collecting, organising and showing data in bar graphs and pictographs.
- SymmetryLines of symmetry: mirror images on both sides.
- Position and movementGrid references, compass directions and describing routes.
- Shapes inside a figureSplitting figures into simple shapes to find area and perimeter.
- TemperatureDegrees Celsius, reading a thermometer and temperature differences.
- Volume: counting cubesFinding volume by packing cubes and counting them layer by layer.
- Money: rand and centsConverting rand and cents, adding amounts and working out change.
- Probability: how likely?From impossible to certain, and listing outcomes.
- Transformations: slide, flip and turnTranslation, reflection and rotation.
- Views: from the front, the side and the topHow an object looks from the front, the side and the top.
- Pictographs and pie chartsReading pictographs with a key, and pie charts with halves and quarters.
- Tessellations and composite shapesShapes that cover a surface with no gaps, and building shapes from other shapes. Splitting figures into simple shapes to find area and perimeter.
- Mass: reading kitchen, bathroom and balance scalesReading kitchen, bathroom and balance scales correctly.
Extension
2 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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