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Mathematics // Measurement
Volume as additiveRecognise volume as additive; find volumes of composite solid figures made of two or more non-overlapping right rectangular prisms
Ages 10 to 11MethodMathematics // Measurement
Measurement ConversionsSolve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts
Ages 10 to 11MethodMathematics // Measurement
Decimal place valueConvert among different-sized standard measurement units within a given system (e.g. 5 cm to 0.05 m) using decimal notation to up to three decimal places…
Ages 10 to 11MethodMathematics // Measurement
Estimating answers (age 10+)Find the volume of right rectangular prisms by packing with unit cubes and show it equals l × w × h (or base area × height); apply V = l × w × h and V = B × h…
Ages 10 to 11MethodMathematics // Measurement
Counting Unit CubesMeasure volumes by counting unit cubes using cubic cm, cubic in, cubic ft, and other units
Ages 10 to 11MethodMathematics // Multiplication & Division
Long multiplicationMultiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using formal written methods including long…
Ages 9 to 10MethodMathematics // Multiplication & Division
Division with remaindersSolve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a…
Ages 9 to 10MethodMathematics // Multiplication & Division
Short division with remaindersDivide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the…
Ages 9 to 10MethodMathematics // Multiplication & Division
Multiplying and dividingMultiply and divide whole numbers and those involving decimals by 10, 100, and 1000
Ages 9 to 10MethodMathematics // Multiplication & Division
Shape patternsGenerate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they…
Ages 9 to 10MethodMathematics // Multiplication & Division
Understanding fractionsSolve problems involving scaling by simple fractions and problems involving simple rates
Ages 9 to 10MethodMathematics // Multiplication & Division
Factors, multiples, and primes (age 9+)Solve problems involving multiplication and division using knowledge of factors, multiples, squares, and cubes
Ages 9 to 10MethodMathematics // Multiplication & Division
Mental multiplication and division (age 9+)Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments
Ages 9 to 10MethodMathematics // Multiplication & Division
Multiplicative ComparisonSolve word problems involving multiplicative comparison using drawings and equations with a symbol for the unknown number
Ages 9 to 10MethodMathematics // Multiplication & Division
Long multiplication (age 10+)Fluently multiply multi-digit whole numbers (up to 4 digits by 2 digits) using the formal written method of long multiplication
Ages 10 to 11MethodMathematics // Multiplication & Division
Rounding AnswersSolve problems which require answers to be rounded to specified degrees of accuracy
Ages 10 to 11MethodMathematics // Multiplication & Division
Division with remainders (age 10+)Divide numbers up to 4 digits by a two-digit divisor using formal written long division, interpreting remainders as whole numbers, fractions, or by rounding as…
Ages 10 to 11MethodMathematics // Multiplication & Division
Brackets in ExpressionsUse parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these grouping symbols
Ages 10 to 11MethodMathematics // Multiplication & Division
Decimal place valueMultiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6)
Ages 10 to 11MethodMathematics // Multiplication & Division
Division with DecimalsUse written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers
Ages 10 to 11MethodMathematics // Multiplication & Division
Multi-step problems: choosing operationsSolve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in…
Ages 10 to 11MethodMathematics // Multiplication & Division
Multiplying and dividing (age 10+)Multiply and divide numbers by 10, 100, and 1000 giving answers up to three decimal places, understanding that digits shift position in the place-value chart
Ages 10 to 11MethodMathematics // Multiplication & Division
Mental calculation strategiesPerform mental calculations including with mixed operations and large numbers, using strategies such as partitioning, compensation, and derived facts
Ages 10 to 11MethodMathematics // Multiplication & Division
Dividing by two-digit numbersDivide numbers up to 4 digits by a two-digit number using formal written short division where appropriate, interpreting remainders according to context
Ages 10 to 11Method