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Mathematics // Addition & Subtraction

Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

Mathematics // Addition & Subtraction

Fluently add and subtract whole numbers with more than four digits using the standard columnar algorithm

Mathematics // Addition & Subtraction

Add and subtract numbers mentally with increasingly large numbers, using place-value knowledge and derived facts

Mathematics // Addition & Subtraction

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

Mathematics // Addition & Subtraction

Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and the relationship between addition and subtraction…

Mathematics // Algebra

Use simple formulae expressed in words or symbols to calculate values (e.g. perimeter = 2 × (length + width))

Mathematics // Algebra

Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate…

Mathematics // Algebra

Find pairs of numbers that satisfy an equation with two unknowns (e.g. find pairs (a, b) where a + b = 10 or 2a + b = 15)

Mathematics // Algebra

Enumerate possibilities of combinations of two variables systematically (e.g. all ways to choose from a set of options)

Mathematics // Algebra

Generate and describe linear number sequences, including those with negative and decimal steps; identify the term-to-term rule

Mathematics // Algebra

Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely

Mathematics // Algebra

Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on…

Mathematics // Algebra

Simplify algebraic expressions by collecting like terms — combine terms with the same variable and power (e.g., 3a + 2b + 5a = 8a + 2b) while maintaining…

Mathematics // Algebra

Expand (multiply out) a single term over a bracket using the distributive property, e.g., 3(2x + 5) = 6x + 15; expand expressions involving negative multipliers

Mathematics // Algebra

Substitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and…

Mathematics // Algebra

Generate 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…

Mathematics // Data & Statistics

Complete, read, and interpret information in tables, including timetables

Mathematics // Data & Statistics

Solve comparison, sum, and difference problems using information presented in a line graph

Mathematics // Data & Statistics

Calculate and interpret the mean as an average of a data set

Mathematics // Data & Statistics

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); use operations on fractions to solve problems involving data in…

Mathematics // Data & Statistics

Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range)…

Mathematics // Fractions

Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100)

Mathematics // Fractions

Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 +…

Mathematics // Fractions

Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <