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Mathematics // 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 14MethodMathematics // 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
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
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
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 8MethodMathematics // Data & Statistics
Reading tablesComplete, read, and interpret information in tables, including timetables
Ages 9 to 10MethodMathematics // Data & Statistics
Line graph problemsSolve comparison, sum, and difference problems using information presented in a line graph
Ages 9 to 10MethodMathematics // Data & Statistics
Calculating the MeanCalculate and interpret the mean as an average of a data set
Ages 10 to 11MethodMathematics // Data & Statistics
Understanding fractionsMake 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…
Ages 10 to 11MethodMathematics // Data & Statistics
Comparing measurementsDescribe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range)…
Ages 11 to 13MethodMathematics // Fractions
Simple Fraction SumsAdd and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7)
Ages 7 to 8MethodMathematics // Fractions
Comparing fractionsCompare and order unit fractions, and fractions with the same denominator
Ages 7 to 8Method