Numbers, Operations and Patterns
20 summaries- Place value to six digitsWhat each digit in a number is worth, and numbers in expanded notation.
- Compare and order numbersComparing numbers with >, < and =, and putting them in ascending or descending order.
- Rounding offRounding 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, multiples and the HCFMultiples, factors and HCF, and divisibility rules.
- Prime numbersPrimes have exactly two factors; composite numbers have more.
- Fractions: add, subtract and compareNumerator and denominator, comparing, equivalent fractions and adding and subtracting with the same denominator.
- Mixed numbersMixed numbers and improper fractions, and how to convert between them.
- Fraction of a quantityHow to work out ¾ of 24: divide by the denominator, multiply by the numerator.
- 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.
- Geometric patternsPatterns of growing shapes: count, make a table and find the rule.
- Mode and data handlingThe mode: the value that occurs most often. Collecting, organising and showing data in bar graphs, pictographs and pie charts.
- Ratio and rateRatios compare amounts of the same kind; rates compare different units.
- Equivalent fractionsNumerator and denominator, comparing, equivalent fractions and adding and subtracting with the same denominator.
- Reverse roundingRounding to the nearest 10, 100 or 1 000, and estimating to check your answer.
Space, Measurement and Data Handling
24 summaries- Time and elapsed timeReading analogue and digital clocks, and working out elapsed time.
- 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.
- VolumeFinding 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 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 handling and the meanCollecting, organising and showing data in bar graphs, pictographs and pie charts. Summarising data with the mode, median and mean.
- AnglesAcute, right, obtuse, straight and reflex, and measuring with a protractor.
- Converting unitsFrom one unit to another: multiply or divide by 10, 100 or 1 000.
- Time: 12-hour and 24-houra.m. and p.m., and the 24-hour clock on timetables and tickets.
- TemperatureDegrees Celsius, reading a thermometer and temperature differences.
- Nets of 3D objectsFlat patterns that fold into a cube, prism or pyramid.
- TransformationsTranslation, reflection and rotation.
- Probability and outcomesFrom impossible to certain, outcomes and chance as a fraction.
- Area and perimeter on a gridThe space inside a shape: count squares or use l × b. The distance around a shape, and the formulas for a rectangle and square.
- Position and movementGrid references, compass directions and describing routes.
- Mass: scales, units and costReading kitchen, bathroom and balance scales correctly, and cost per kg.
- Views of collections and buildingsHow an object looks from the front, the side and the top.
- Composite shapes and tessellationsShapes that cover a surface with no gaps, and building shapes from other shapes. Splitting figures into simple shapes to find area and perimeter.
- Patterns and symmetry in designsPatterns of growing shapes: count, make a table and find the rule. Lines of symmetry: mirror images on both sides.
Extension
3 summaries- Extension: decimal fractions (Grade 6 work)Tenths, hundredths and the decimal comma; comparing and calculating with decimals.
- Extension: measurement with decimals (Grade 6 work)Tenths, hundredths and the decimal comma; comparing and calculating with decimals. From one unit to another: multiply or divide by 10, 100 or 1 000.
- Extension: median and mean (Grade 6 and 7 work)Summarising data with the mode, median and mean.
For parents
- Choose one topic per evening. Let your child work the examples on paper.
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