Unit Fractions - With Units
This worksheet extends previous worksheets on unit fractions and parts of a whole by adding units, and bringing the questions into real-world situations.
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.