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Mathematics // 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
Decimals and fractions (age 10+)Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between…
Ages 10 to 11ConceptMathematics // Fractions
Fractions of a whole (age 10+)Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to…
Ages 10 to 11ConceptMathematics // 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 fractions (unit fractions)Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between…
Ages 10 to 11ConceptMathematics // Fractions
Area with FractionsFind the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths
Ages 10 to 11RepresentationMathematics // 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 11MethodMathematics // Fractions
Multiplication as scalingInterpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the…
Ages 10 to 11ConceptMathematics // Fractions
Dividing by FractionsInterpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and…
Ages 10 to 11ConceptMathematics // Fractions
Real-world fraction multiplicationSolve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations
Ages 10 to 11MethodMathematics // 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 11MethodMathematics // 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 11MethodMathematics // Fractions
Fraction Word ProblemsSolve word problems involving addition and subtraction of fractions with unlike denominators, using visual models and benchmark fractions to estimate and assess…
Ages 10 to 11MethodMathematics // 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 11MethodMathematics // 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 12MethodMathematics // Fractions
Mixed & Improper FractionsUse 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 13MethodMathematics // 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 13MethodMathematics // Fractions
Dividing fractionsDivide 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 12MethodMathematics // Geometry
Types of angles (age 8+)Use and interpret standard geometric diagram conventions: mark right angles with a small square, equal lengths with single or double tick marks, and equal…
Ages 8 to 12RepresentationMathematics // Geometry
Nets of 3-D ShapesIdentify, draw, and interpret nets of common 3-D shapes — cubes, cuboids, triangular prisms, and square-based pyramids — by predicting which 3-D shape a given…
Ages 8 to 11RepresentationMathematics // Geometry
Transformations on a gridRepresent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines…
Ages 8 to 12RepresentationMathematics // Geometry
2-D shapes (age 8+)Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry
Ages 8 to 10Concept