Calculating Fractions of a Whole Presentation
This presentation teaches students a simplified way of calculating fractions of a whole.
It is a part of a larger unit which focuses 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 solve practical problems involving natural and rational numbers and percentages in financial contexts.
- We are learning to select and apply efficient mental and written strategies and digital technologies to solve problems involving addition, subtraction, multiplication and division with whole numbers.
- 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 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.
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
AC9M6N09
9
Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made
ACMNA127
8.4
Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
ACMNA123
8.4
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
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
MA3-5NA
old
Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
MA3-6NA
old
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
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-MR-02
new
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
MA3-MR-01
new
Selects and applies appropriate strategies to solve multiplication and division problems
MA3-AR-01
new
Selects and applies appropriate strategies to solve addition and subtraction problems
MA3-RN-03
new
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
MA3-RN-02
new
Compares and orders decimals up to 3 decimal places
MA3-RN-01
new
Applies an understanding of place value and the role of zero to represent the properties of numbers
VCMNA218
Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies
VCMNA213
Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
VCMNA209
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.