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Elaboration ACMSP116

commenting on the likelihood of winning simple games of chance by considering the number of possible outcomes and the consequent chance of winning in simple games of chance such as jan-ken-pon (rock-paper-scissors)

Elaboration ACMSP117

investigating the probabilities of all outcomes for a simple chance experiment and verifying that their sum equals 1

Elaboration ACMSP118

posing questions about insect diversity in the playground, collecting data by taping a one-metre-square piece of paper to the playground and observing the type and number of insects on it over time

Elaboration ACMSP119

identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations

Elaboration ACMSP120

using and comparing data representations for different data sets to help decision making

Elaboration ACMNA122

understanding that some numbers have special properties and that these properties can be used to solve problems

Elaboration (1) ACMNA122

representing composite numbers as a product of their prime factors and using this form to simplify calculations by cancelling common primes

Elaboration (2) ACMNA122

understanding that if a number is divisible by a composite number then it is also divisible by the prime factors of that number (for example 216 is divisible by 8 because the number represented by the last three digits is divisible by 8, and hence 216 …

Elaboration ACMNA123

applying strategies already developed for solving problems involving small numbers to those involving large numbers

Elaboration (1) ACMNA123

applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies

Elaboration ACMNA124

understanding that integers are ...-3, -2, -1, 0, 1, 2, 3,.....

Elaboration (1) ACMNA124

solving everyday additive problems using a number line

Elaboration (2) ACMNA124

investigating everyday situations that use integers, such as temperatures

Elaboration (3) ACMNA124

using number lines to position and order integers around zero

Elaboration ACMNA125

demonstrating equivalence between fractions using drawings and models

Elaboration ACMNA126

understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions

Elaboration (1) ACMNA126

solving realistic additive (addition and subtraction) problems involving fractions to develop understanding of equivalent fractions and the use of fractions as operators

Elaboration (2) ACMNA126

modelling and solving additive problems involving fractions by using methods such as jumps on a number line, or by making diagrams of fractions as parts of shapes

Elaboration ACMNA127

recognising that finding one third of a quantity is the same as dividing by 3

Elaboration ACMNA128

extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths

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