Fractions Equivalence Chart
The Fractions Equivalence Chart is designed to support upper primary students consolidating knowledge of equivalent fractions.
Learning goals
- We are learning to investigate equivalent fractions, e.g. halves, quarters and eighths or thirds and sixths.
- We are learning to make connections between equivalent fractions, decimals and percentages.
- We are learning to find equivalent representations of fractions and make connections between fractions and decimals, e.g. ¼ of 1 metre = .25m or 25cm.
- We are learning to recognise that 100% represents a whole and use percentages to describe, represent and compare relative percentages visually, e.g. shading a hundreds grid and connect percentages to their decimal and fraction equivalents.
- We are learning to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order.
Curriculum alignment
AC9M6N03
9
Apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order
AC9M5N04
9
Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents
AC9M4N03
9
Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation
ACMNA131
8.4
Make connections between equivalent fractions, decimals and percentages
ACMNA077
8.4
Investigate equivalent fractions used in contexts
MA3-7NA
old
Compares, orders and calculates with fractions, decimals and percentages
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA2-1WM
old
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
MA2-3WM
old
Checks the accuracy of a statement and explains the reasoning used
MA2-7NA
old
Represents, models and compares commonly used fractions and decimals
MA2-AR-02
new
Completes number sentences involving addition and subtraction by finding missing values
MA3-RQF-02
new
Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
MA2-MR-01
new
Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems
MA2-MR-02
new
Completes number sentences involving multiplication and division by finding missing values
MA2-PF-01
new
Represents and compares halves, quarters, thirds and fifths as lengths on a number line and their related fractions formed by halving (eighths, sixths and tenths)
MA3-RN-01
new
Applies an understanding of place value and the role of zero to represent the properties of numbers
MA3-RN-02
new
Compares and orders decimals up to 3 decimal places
MA3-RN-03
new
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
MA3-MR-01
new
Selects and applies appropriate strategies to solve multiplication and division problems
MA3-MR-02
new
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
MA3-RQF-01
new
Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10
MA2-AR-01
new
Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
MA2-RN-02
new
Represents and compares decimals up to 2 decimal places using place value
MA2-RN-01
new
Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.
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