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18 topics
By subject and area, youngest first
Mathematics // Addition & Subtraction
Checking Answers by RoundingUse rounding to check answers to calculations and determine appropriate levels of accuracy in context
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Complex Multi-Step ProblemsMake sense of complex multi-step problems involving large numbers, fractions, decimals, and percentages by analysing what is known and unknown, planning…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Precise Maths VocabularyCommunicate with mathematical precision: use correct vocabulary for primes, factors, multiples, angle types, and polygon regularity; specify units including…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Understanding fractions (age 9+)Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Real-World Maths ModellingModel real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Choosing representations strategicallySelect and use tools and representations strategically: choose between mental methods, formal written methods, protractors, fraction strips, and diagrams based…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Fractions on a number line (age 9+)Move fluently between real-world situations, diagrams, number lines, bar models, and symbolic equations involving multi-digit multiplication, fractions…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Reasoning with EquivalencesRecognise and use repeated reasoning to generalise: extend patterns in equivalent fractions and percentage conversions, derive unknown facts from known facts…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Fractions, Decimals & PercentagesLook for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Understanding fractions (age 10+)Move fluently between real-world situations, diagrams, coordinate grids, algebraic expressions, tables, and symbolic equations involving fractions, ratio, and…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Advanced Multi-Step ProblemsMake sense of complex multi-step problems involving ratio, proportion, algebra, negative numbers, and all four operations with fractions and decimals by…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Real-World Mathematical ModellingModel real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Advanced Maths VocabularyCommunicate with mathematical precision: use correct vocabulary for ratio, proportion, algebra, volume, coordinate geometry, and circle parts; specify units…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Constructing mathematical argumentsConstruct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Choosing Maths ToolsSelect and use tools and representations strategically: choose between mental methods, formal written methods, algebraic approaches, coordinate grids, and…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Order of operations (age 10+)Look for and use mathematical structure: exploit the hierarchy of 2-D shapes to deduce properties; use order of operations and algebraic structure to simplify…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Generalising with repeated reasoningRecognise and use repeated reasoning to generalise: describe algebraic rules for nth terms, use properties of operations to simplify, and verify generalisations…
Ages 10 to 11Thinking skillMathematics // Multiplication & Division
Estimation to check answers to calculationsUse estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
Ages 10 to 11Thinking skill