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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 9MethodMathematics // Fractions
Decimal place value (age 8+)Compare numbers with the same number of decimal places up to two decimal places
Ages 8 to 9MethodMathematics // Fractions
Dividing by 10 and 100Find 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 9MethodMathematics // 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 9MethodMathematics // 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 9MethodMathematics // 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 9MethodMathematics // Fractions
Decimals and fractionsSolve simple measure and money problems involving fractions and decimals to two decimal places
Ages 8 to 9MethodMathematics // Fractions
Decimal place valueRound decimals with one decimal place to the nearest whole number
Ages 8 to 9MethodMathematics // Fractions
Decimals for Tenths & HundredthsUse 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 10MethodMathematics // Fractions
Converting tenths to hundredthsExpress 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 10MethodMathematics // Fractions
Comparing DecimalsCompare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <
Ages 9 to 10MethodMathematics // Fractions
Multiplying fractionsUnderstand 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 10MethodMathematics // Fractions
Percentage and decimal equivalentsSolve 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 10MethodMathematics // 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 10MethodMathematics // 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 10MethodMathematics // Fractions
Fraction Addition ConceptsUnderstand 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 10MethodMathematics // Fractions
Decimals to three placesSolve problems involving numbers with up to three decimal places
Ages 9 to 10MethodMathematics // Fractions
Mixed numbers and improper fractionsRecognise 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 10MethodMathematics // Fractions
Adding and subtracting mixed numbersAdd and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations
Ages 9 to 10MethodMathematics // Fractions
Addition and subtraction word problemsSolve word problems involving addition and subtraction of fractions with like denominators, using visual models and equations
Ages 9 to 10MethodMathematics // 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 10MethodMathematics // 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 10MethodMathematics // Fractions
Simplifying FractionsUse common factors to simplify fractions to their simplest form; use common multiples to express fractions with a common denominator
Ages 10 to 11MethodMathematics // Fractions
Dividing unit fractions and whole numbersSolve 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