Converting Fractions to Decimals Using ÷
This worksheet helps students convert fractions into decimals through division. It is a part of a larger unit that is written to help students make connections between fractions, percentages, and decimals and be able to move between all three at ease.
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Learning goals
- 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.
- We are learning to make connections between equivalent fractions, decimals and percentages.
Curriculum alignment
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
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
ACMNA131
8.4
Make connections between equivalent fractions, decimals and percentages
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-7NA
old
Compares, orders and calculates with fractions, decimals and percentages
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
MA3-RQF-02
new
Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.