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Mathematics // Algebra
Factorising ExpressionsFactorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x +…
Ages 12 to 13MethodMathematics // Algebra
Estimating answers (age 13+)Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical…
Ages 13 to 14MethodMathematics // Algebra
Quadratic GraphsRecognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values…
Ages 13 to 14ConceptMathematics // Algebra
Simultaneous EquationsUnderstand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and…
Ages 13 to 14ConceptMathematics // Algebra
Expanding Double BracketsExpand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms
Ages 13 to 14MethodMathematics // Counting & Cardinality
One-to-one countingOne-to-one correspondence when counting objects: each object is paired with exactly one number name
Ages 4 to 6ConceptMathematics // Counting & Cardinality
How Many in Total?Cardinality principle: the last number said when counting a set tells how many objects are in the set, regardless of arrangement or order counted
Ages 4 to 6ConceptMathematics // Counting & Cardinality
Comparing groups: more or fewerCompare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies
Ages 4 to 6ConceptMathematics // Counting & Cardinality
Representing numbers with objectsRepresent numbers using objects, pictorial representations, and the number line
Ages 4 to 6RepresentationMathematics // Counting & Cardinality
One More Each TimeEach successive counting number represents a quantity that is one larger than the previous number
Ages 4 to 6ConceptMathematics // Counting & Cardinality
Rote counting to 100Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones
Ages 5 to 6MethodMathematics // Counting & Cardinality
Counting in 2sCount in multiples of 2, 5, and 10 (skip counting)
Ages 5 to 7MethodMathematics // Counting & Cardinality
Counting objects to 20Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered)
Ages 5 to 6MethodMathematics // Counting & Cardinality
Two written numerals between 1 and 10Compare two written numerals between 1 and 10 to determine which is greater or less
Ages 5 to 6MethodMathematics // Counting & Cardinality
Counting forwards and backwards (age 6+)Count forwards and backwards in tens from any number (not just multiples of 10)
Ages 6 to 7MethodMathematics // Counting & Cardinality
Counting forwards and backwardsCount forwards and backwards in steps of 3 from 0
Ages 6 to 7MethodMathematics // Counting & Cardinality
Skip Counting (4s, 8s, 50s, 100s)Count from 0 in multiples of 4, 8, 50, and 100
Ages 7 to 8MethodMathematics // Counting & Cardinality
Counting Within 1,000Count within 1000, including skip-counting by 5s, 10s, and 100s
Ages 7 to 8Method- Ages 8 to 9Method
Mathematics // Data & Statistics
Sorting into categoriesClassify objects into given categories, count the number in each category, and sort the categories by count
Ages 5 to 6MethodMathematics // Data & Statistics
Sorting Data into CategoriesOrganise and represent data with up to three categories by counting objects in each category and sorting categories by quantity
Ages 6 to 8MethodMathematics // Data & Statistics
Pictograms and tally charts (age 6+)Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart…
Ages 6 to 9LanguageMathematics // Data & Statistics
Pictograms and tally chartsInterpret and construct simple pictograms, tally charts, block diagrams, and simple tables
Ages 6 to 8RepresentationMathematics // Data & Statistics
Sorting into categories (age 6+)Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another
Ages 6 to 8Method