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  • Mathematics // Fractions

    Multiplying fractions

    Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)

    Ages 9 to 10Method
  • Mathematics // Fractions

    Percentage and decimal equivalents

    Solve problems requiring knowledge of percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and fractions with denominators that are multiples of 10 or…

    Ages 9 to 10Method
  • Mathematics // Fractions

    Adding fractions (different denominators)

    Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator

    Ages 9 to 10Method
  • Mathematics // Fractions

    Comparing fractions (age 9+)

    Compare and order fractions with different numerators and denominators by creating common denominators/numerators or comparing to a benchmark such as 1/2…

    Ages 9 to 10Method
  • Mathematics // Fractions

    Fraction Addition Concepts

    Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more…

    Ages 9 to 10Method
  • Mathematics // Fractions

    Decimals to three places

    Solve problems involving numbers with up to three decimal places

    Ages 9 to 10Method
  • Mathematics // Fractions

    Mixed numbers and improper fractions

    Recognise mixed numbers and improper fractions; convert from one form to the other (e.g. 2/5 + 4/5 = 6/5 = 1 1/5)

    Ages 9 to 10Method
  • Mathematics // Fractions

    Adding and subtracting mixed numbers

    Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations

    Ages 9 to 10Method
  • Mathematics // Fractions

    Addition and subtraction word problems

    Solve word problems involving addition and subtraction of fractions with like denominators, using visual models and equations

    Ages 9 to 10Method
  • Mathematics // Fractions

    Decimal place value (age 9+)

    Round decimals with two decimal places to the nearest whole number and to one decimal place

    Ages 9 to 10Method
  • Mathematics // Fractions

    Fractions of a whole (age 9+)

    Solve word problems involving multiplication of a fraction by a whole number using visual models and equations

    Ages 9 to 10Method
  • Mathematics // Fractions

    Simplifying Fractions

    Use common factors to simplify fractions to their simplest form; use common multiples to express fractions with a common denominator

    Ages 10 to 11Method
  • Mathematics // Fractions

    Dividing unit fractions and whole numbers

    Solve real-world problems involving division of unit fractions by whole numbers and whole numbers by unit fractions, using visual models and equations

    Ages 10 to 11Method
  • Mathematics // Fractions

    Real-world fraction multiplication

    Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations

    Ages 10 to 11Method
  • Mathematics // Fractions

    Multiplying fractions (age 10+)

    Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal…

    Ages 10 to 11Method
  • Mathematics // Fractions

    Adding Fractions (Unlike Denominators)

    Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce a common…

    Ages 10 to 11Method
  • Mathematics // Fractions

    Fraction Word Problems

    Solve word problems involving addition and subtraction of fractions with unlike denominators, using visual models and benchmark fractions to estimate and assess…

    Ages 10 to 11Method
  • Mathematics // Fractions

    Comparing fractions (age 10+)

    Compare and order fractions including fractions greater than 1, by converting to common denominators or using benchmarks

    Ages 10 to 11Method
  • Mathematics // Fractions

    Multiplying fractions (age 11+)

    Interpret fractions and percentages as operators — find a fraction or percentage of an amount by multiplying, understanding that 'of' means multiply (e.g., 3/4…

    Ages 11 to 12Method
  • Mathematics // Fractions

    Mixed & Improper Fractions

    Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and…

    Ages 11 to 13Method
  • Mathematics // Fractions

    Decimals and fractions (age 11+)

    Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); convert fluently between the two forms

    Ages 11 to 13Method
  • Mathematics // Fractions

    Dividing fractions

    Divide a fraction by a fraction using the 'keep-change-flip' method and visual models; interpret and solve word problems involving division of fractions by…

    Ages 11 to 12Method
  • Mathematics // Geometry

    Measuring angles

    Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure

    Ages 9 to 10Method
  • Mathematics // Geometry

    Lines, Rays & Angles

    Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional…

    Ages 9 to 10Method