Topic 1: Number
1.1 Integers
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Reading/writing whole numbers in words and figures (up to 10,000,000).
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Place value (including decimals up to two places).
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Negative numbers in context (e.g., temperature).
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Comparing/ordering numbers using inequalities (<, >).
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Rounding (to nearest 10, 100, 1000, or whole number for decimals).
1.2 Addition and Subtraction
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Formal methods (columnar addition/subtraction) for large numbers (up to 1,000,000).
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Decimals (up to two places) in real-world contexts (e.g., money).
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Estimation using rounding.
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Inverse operations (e.g., checking subtraction via addition).
1.3 Multiplication and Division
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Times tables (up to 12 × 12).
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Key terms: factors, multiples, primes, squares, cubes, HCF, LCM.
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Operations with large numbers (4-digit × 2-digit) and decimals.
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Multiplying/dividing by 10, 100, 1000.
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Division with remainders (as fractions/decimals).
1.4 Four Operations
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Using BIDMAS/BODMAS (order of operations).
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Multi-step word problems (e.g., money, measurements).
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Hypothesis testing and pattern recognition.
1.5 Fractions and Decimals
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Converting between fractions/decimals (e.g., ¾ = 0.75).
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Mixed numbers and improper fractions.
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Arithmetic with fractions (+, −, ×, ÷).
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Comparing/ordering decimals (up to two places).
1.6 Percentages
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Understanding % as "per hundred."
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Conversions between fractions/decimals/percentages.
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Calculating percentages of quantities (e.g., 35% of 300).
1.7 Ratio and Proportion
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Simplifying ratios (e.g., 18:12 → 3:2).
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Dividing quantities proportionally (e.g., sharing £360 in a 7:5 ratio).
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Real-world applications (e.g., scaling recipes).
Topic 2: Algebra
2.1 Sequences
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Finding missing terms (e.g., 1, 3, 5, 7, _).
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Term-to-term rules (e.g., "double and add 2").
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nth term expressions (e.g., 3n + 1).
2.2 Expressions and Formulae
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Using variables (e.g., 𝑥 + 3 = 10).
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Substitution (e.g., 4𝑥 + 𝑦 when 𝑥=2, 𝑦=3).
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Simplifying expressions (e.g., 3𝑎 + 2𝑏).
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Expanding brackets (e.g., 2(3𝑥 − 1) = 6𝑥 − 2).
2.3 Equations
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Solving linear equations (e.g., 4𝑥 + 3 = 19).
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Finding number pairs for two-variable equations (e.g., 𝑚 + 𝑛 = 3).
Topic 3: Geometry
3.1 Measures
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Metric conversions (e.g., km → m, g → kg).
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Time (analogue/digital, calculations).
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Practical problems (e.g., measuring lengths with decimals).
3.2 Shape
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2D/3D shapes (e.g., polygons, nets of cubes).
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Properties (vertices, edges, symmetry).
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Area/volume formulas (rectangle, triangle, cuboid).
3.3 Angles
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Types (acute, obtuse, reflex).
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Measuring/drawing angles (up to 180°).
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Angle sums (e.g., in triangles, straight lines).
3.4 Position and Direction
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Coordinates (all four quadrants).
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Reflections and translations.
Topic 4: Statistics
4.1 Using and Interpreting Data
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Mean, median, range.
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Data presentation (bar charts, pie charts, line graphs).
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Interpreting tables/timetables.
Additional Notes
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Cross-curricular links: Real-world applications (e.g., money, measurements, recipes).
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Skills emphasized: Problem-solving, estimation, inverse operations, pattern recognition.
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Progression: Builds from basic arithmetic (Year 4) to complex multi-step problems (Year 6).