Numbers, Operations and Algebra
25 summaries- IntegersNumbers below zero: comparing, on the number line, and calculating with signs.
- Exponents and the exponent lawsBase and exponent, squares, cubes and roots, and the exponent laws.
- Prime factorisationWriting numbers as a product of primes, and finding the HCF and LCM.
- Operations with large numbersAdding, subtracting, multiplying and dividing large numbers, estimating to check. Commutative, associative and distributive: shortcuts for mental maths.
- Order of operationsBODMAS: brackets, orders, division and multiplication, addition and subtraction.
- Algebraic expressionsVariables, coefficients, like terms, substitution, formulae and word formulae.
- Solving equationsThe balance method: do the same to both sides, and check your answer.
- Patterns and the Tₙ ruleFinding the rule of a number pattern, and working out far terms with a position rule.
- Formulae and word formulaeVariables, coefficients, like terms, substitution, formulae and word formulae.
- PercentagesPercent means out of 100: percentage of an amount and marks as a percentage.
- Profit, loss and interestCost price, selling price, profit, loss, discount and interest.
- Ratio and rateRatios compare amounts of the same kind; rates compare different units.
- FractionsNumerator and denominator, comparing, equivalent fractions and adding and subtracting fractions.
- GraphsLine graphs and global graphs: increasing, decreasing or constant.
- Word problemsRead, underline, choose the operation and answer with units.
- Decimal fractionsTenths, hundredths and the decimal comma; comparing and calculating with decimals.
- Converting and comparing fractionsNumerator and denominator, comparing, equivalent fractions and adding and subtracting fractions. Tenths, hundredths and the decimal comma; comparing and calculating with decimals.
- Flow diagrams and functionsInput, rule and output, and working back with the inverse rule.
- Place value, primes and integersWhat each digit in a number is worth, and numbers in expanded notation. Primes have exactly two factors; composite numbers have more.
- Order of operations and magic squaresBODMAS: brackets, orders, division and multiplication, addition and subtraction.
- Geometric patterns and direct proportionPatterns of growing shapes: count, make a table and find the rule. Ratios compare amounts of the same kind; rates compare different units.
- Global graphsLine graphs and global graphs: increasing, decreasing or constant.
- Patterns with integersFinding the rule of a number pattern, and working out far terms with a position rule. Numbers below zero: comparing, on the number line, and calculating with signs.
- Flow diagrams and tables with integersInput, rule and output, and working back with the inverse rule. Numbers below zero: comparing, on the number line, and calculating with signs.
- Substituting integers into expressionsVariables, coefficients, like terms, substitution, formulae and word formulae. Numbers below zero: comparing, on the number line, and calculating with signs.
Space, Measurement and Data Handling
18 summaries- AnglesAcute, right, obtuse, straight and reflex, and measuring with a protractor.
- Parallel lines and a transversalCorresponding, alternate and co-interior angles with a transversal.
- TrianglesTriangles by sides and angles; the angles add up to 180°.
- QuadrilateralsSides, parallel sides, angles and diagonals of quadrilaterals; the angles add up to 360°.
- PerimeterThe distance around a shape, and the formulas for a rectangle and square.
- AreaThe space inside a shape: count squares or use l × b.
- Surface areaThe area of all the faces of a prism or cube.
- VolumeCounting cubes and volume = length × breadth × height.
- TransformationsTranslation, reflection and rotation, enlarging with a scale factor, and lines of symmetry.
- 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. Summarising data with the mode, median and mean.
- ProbabilityFrom impossible to certain, outcomes and chance as a fraction.
- Composite figuresSplitting figures into simple shapes to find area and perimeter.
- Circles: radius, diameter and circumferenceCentre, radius, diameter, circumference, chord, arc, sector and segment of a circle.
- Constructions: compass and protractorUsing a compass and protractor to draw circles, angles, perpendicular and parallel lines, bisect lines and build triangles.
- Measuring and naming anglesAcute, right, obtuse, straight and reflex, and measuring with a protractor.
- Collecting data: samples, questionnaires and class intervalsPopulation and sample, good questionnaires, class intervals and stem-and-leaf displays.
- Pie charts and double bar graphsPie charts with percentages and angles, and reading double bar graphs.
For 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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