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ACMNA121

Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division

Elaborations ScOT Terms

ACMNA121 | Content Descriptions | Year 5 | Mathematics | F-10 curriculum

Coordinating composite units coordinates two composite units (mentally) as an operation (that is, both the number of groups and the number in each group are treated as composite units) represents multiplication in various ways (arrays, factors, ‘for …

MuS6

Flexible strategies for multiplication draws on the structure of multiplication to use known multiples in calculating related multiples (uses multiples of 4 to calculate multiples of 8) uses known single-digit multiplication facts (7 boxes of 6 donuts …

MuS7

Flexible number properties uses multiplication and division as inverse operations uses factors of a number to carry out multiplication and division (to multiply a number by 72, first multiply by 12 and then multiply the result by 6) uses knowledge …

OwD3

Understanding the effects of multiplication and division with decimals understands that multiplying and dividing decimals by 10, 100, 1000 changes the positional value of the numerals explains that multiplication does not always make the answer larger …

OwD4

Flexible strategies for multiplication and division of decimals uses knowledge of positional value of numbers to multiply and divide decimals uses knowledge of approximate answers to check accuracy of solutions when using a variety of strategies …

OwP5

Adding a percentage as multiplying increases and decreases quantities by a percentage (to determine discounts and mark-ups) uses percentages to calculate simple interest on loans and investments recognises that adding a percentage is equivalent …

NPA5

Generalising patterns identifies elements, including missing elements, in a one-operation number pattern Number sentences uses equivalent number sentences involving addition or subtraction to find an unknown (527 + 96 = ? is the same as 527 …

NPA6

Generalising patterns identifies a single operation rule in numerical patterns and records it as a numerical expression (2, 4, 6, 8, 10 … is n + 2, or 2, 6, 18, 54 … is 3n) predicts a higher term of a pattern using the pattern’s rule Number properties creates …

Understanding

In F–2, students make connections between related concepts and progressively apply the familiar to develop new ideas. In Years 3–6, students make connections between related concepts and progressively apply the familiar to develop new ideas. They develop …

Understanding | Portfolios | Mathematics proficiencies | Resources

Fluency

In F–2, students become fluent as they develop skills in choosing appropriate procedures; and recalling factual knowledge and concepts readily. In Years 3–6, students become fluent as they develop skills in choosing appropriate procedures; carrying out …

Fluency | Portfolios | Mathematics proficiencies | Resources

Reasoning

In F–2, students develop an increasingly sophisticated capacity for logical thought and actions. Students are reasoning mathematically when they explain their thinking. In Years 3–6, students develop an increasingly sophisticated capacity for logical …

Reasoning | Portfolios | Mathematics proficiencies | Resources

Elaboration ACMNA056

establishing multiplication facts using number sequences

Elaboration ACMNA073

recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens

Elaboration ACMNA075

using known multiplication facts to calculate related division facts

Elaboration ACMNA076

using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder

Elaboration ACMNA100

exploring techniques for multiplication such as the area model, the Italian lattice method or the partitioning of numbers

Elaboration (1) ACMNA100

applying the distributive law and using arrays to model multiplication and explain calculation strategies

Elaboration ACMNA154

investigating multiplication of fractions and decimals, using strategies including patterning and multiplication as repeated addition, with both concrete materials and digital technologies, and identifying the processes for division as the inverse of …

Elaboration ACMNA183

using patterns to assist in finding rules for the multiplication and division of integers

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