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Mathematics // Addition & Subtraction
Mental addition and subtraction (age 9+)Add and subtract numbers mentally with increasingly large numbers, using place-value knowledge and derived facts
Ages 9 to 10MethodMathematics // Addition & Subtraction
Adding and subtracting (age 10+)Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why, with numbers up to 10,000,000 and decimals
Ages 10 to 11MethodMathematics // Addition & Subtraction
Addition and subtraction strategies (age 10+)Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and the relationship between addition and subtraction…
Ages 10 to 11MethodMathematics // Addition & Subtraction
Positive and Negative NumbersUnderstand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a…
Ages 11 to 13RepresentationMathematics // Algebra
Using Simple FormulaeUse simple formulae expressed in words or symbols to calculate values (e.g. perimeter = 2 × (length + width))
Ages 10 to 11MethodMathematics // Algebra
Writing Algebraic EquationsExpress missing number problems algebraically using letters for unknowns; translate word problems into equations
Ages 10 to 11RepresentationMathematics // Algebra
Number Pattern RelationshipsGenerate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate…
Ages 10 to 11MethodMathematics // Algebra
Equations with Two UnknownsFind pairs of numbers that satisfy an equation with two unknowns (e.g. find pairs (a, b) where a + b = 10 or 2a + b = 15)
Ages 10 to 11MethodMathematics // Algebra
Systematic ListingEnumerate possibilities of combinations of two variables systematically (e.g. all ways to choose from a set of options)
Ages 10 to 11MethodMathematics // Algebra
Linear number sequencesGenerate and describe linear number sequences, including those with negative and decimal steps; identify the term-to-term rule
Ages 10 to 11MethodMathematics // Algebra
Numbers on a number lineUnderstand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same…
Ages 11 to 14RepresentationMathematics // Algebra
Coordinates (age 11+)Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely
Ages 11 to 12MethodMathematics // Algebra
Algebraic NotationUse and interpret algebraic notation including: ab for a × b, 3y for y + y + y, a² for a × a, a/b for a ÷ b, coefficients as fractions, and brackets for…
Ages 11 to 12LanguageMathematics // Algebra
Solving Linear EquationsUse algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on…
Ages 11 to 14MethodMathematics // Algebra
Collecting Like TermsSimplify algebraic expressions by collecting like terms — combine terms with the same variable and power (e.g., 3a + 2b + 5a = 8a + 2b) while maintaining…
Ages 11 to 12MethodMathematics // Algebra
Expanding Single BracketsExpand (multiply out) a single term over a bracket using the distributive property, e.g., 3(2x + 5) = 6x + 15; expand expressions involving negative multipliers
Ages 11 to 13MethodMathematics // Algebra
Expressions & Equations VocabularyUnderstand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign)…
Ages 11 to 12LanguageMathematics // Algebra
Algebraic TransformationsModel situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic…
Ages 11 to 13RepresentationMathematics // Algebra
Substituting into FormulaeSubstitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and…
Ages 11 to 12MethodMathematics // Algebra
Generating SequencesGenerate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is…
Ages 11 to 14MethodMathematics // Algebra
Linear Function GraphsRecognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical…
Ages 12 to 14ConceptMathematics // Algebra
Plotting Linear GraphsPlot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a…
Ages 12 to 14RepresentationMathematics // Algebra
Simple formulaeUnderstand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable
Ages 12 to 14MethodMathematics // Algebra
Nth-Term RulesFind the nth-term expression for an arithmetic sequence by identifying the common difference and the zero-term, and use it to determine any term in the sequence…
Ages 12 to 14Method