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  • Mathematics // Fractions

    Equivalent fractions (age 8+)

    Generate simple equivalent fractions and explain why they are equivalent using visual fraction models

    Ages 8 to 9Method
  • Mathematics // Fractions

    Decimal place value (age 8+)

    Compare numbers with the same number of decimal places up to two decimal places

    Ages 8 to 9Method
  • Mathematics // Fractions

    Dividing by 10 and 100

    Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits as ones, tenths, and hundredths

    Ages 8 to 9Method
  • Mathematics // Fractions

    Adding Fractions (Same Denominator)

    Add and subtract fractions with the same denominator, including results greater than one whole (e.g. 5/8 + 6/8 = 11/8)

    Ages 8 to 9Method
  • Mathematics // Fractions

    Comparing fractions (age 8+)

    Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols

    Ages 8 to 9Method
  • Mathematics // Fractions

    Fractions of amounts (harder)

    Solve problems involving increasingly harder fractions to calculate quantities, including non-unit fractions where the answer is a whole number

    Ages 8 to 9Method
  • Mathematics // Fractions

    Decimals and fractions

    Solve simple measure and money problems involving fractions and decimals to two decimal places

    Ages 8 to 9Method
  • Mathematics // Fractions

    Decimal place value

    Round decimals with one decimal place to the nearest whole number

    Ages 8 to 9Method
  • Mathematics // Fractions

    Decimals for Tenths & Hundredths

    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)

    Ages 9 to 10Method
  • Mathematics // Fractions

    Converting tenths to hundredths

    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 +…

    Ages 9 to 10Method
  • Mathematics // Fractions

    Comparing Decimals

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

    Ages 9 to 10Method
  • 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