Fractions of a Whole Assessment
This activity was designed to be used as a piece of formative assessment. While Fractions of a whole no longer has its own curriculum code in the Australian National Curriculum, it is an important skill that you may want to check students’ understanding of through assessment.
This worksheet was created as part of a larger unit focusing on developing student’s understanding and proficiency in solving problems related to fractions of a whole.
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Learning goals
- We are learning to find a simple fraction of a quantity where the result is a whole number, e.g. 1/3 of a number is the same as dividing by 3.
- We are learning to solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing the best strategies.
- We are learning to investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies.
Curriculum alignment
AC9M6N07
9
Solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate
ACMNA127
8.4
Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
ACMNA132
8.4
Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies
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-GM-02
new
Selects and uses the appropriate unit and device to measure lengths and distances including perimeters
MA3-RQF-02
new
Determines 1/2, 1/4, 1/5 and 1/10 of measures and quantities
MA3-RQF-01
new
Compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10
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
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.