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Mathematics // Addition & Subtraction
Mental addition and subtraction (age 7+)Mentally add and subtract a three-digit number and ones
Ages 7 to 8MethodMathematics // Addition & Subtraction
Adding numbersAdd up to four two-digit numbers using strategies based on place value and properties of operations
Ages 7 to 8MethodMathematics // Addition & Subtraction
Mentally adding hundreds to 3-digit numbersMentally add and subtract a three-digit number and hundreds
Ages 7 to 8MethodMathematics // Addition & Subtraction
Mentally adding tens to 3-digit numbersMentally add and subtract a three-digit number and tens
Ages 7 to 8MethodMathematics // Addition & Subtraction
Two-Step EquationsSolve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
Ages 8 to 9MethodMathematics // Addition & Subtraction
Adding and subtracting (age 8+)Add and subtract numbers with up to four digits using formal written methods of columnar addition and subtraction
Ages 8 to 9MethodMathematics // Addition & Subtraction
Two-step addition and subtraction problemsSolve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
Ages 8 to 9MethodMathematics // Addition & Subtraction
Fluent adding and subtracting within 1000Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and…
Ages 8 to 9MethodMathematics // Addition & Subtraction
Adding and subtracting (age 9+)Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Ages 9 to 10MethodMathematics // Addition & Subtraction
Fluent addition and subtraction (age 9+)Fluently add and subtract whole numbers with more than four digits using the standard columnar algorithm
Ages 9 to 10MethodMathematics // 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 // 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
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
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
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
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 14Method