The Magic Square Challenge Sheet
This is a fun extension worksheet for students who are able to push their fraction addition to the next level. The maths skills and abstract thinking required will make this sheet difficult for many students, but will likely be a favourite for those who have a good handle on this content.
This worksheet is part of a larger unit designed to develop proficiency in solving problems related to addition and subtraction of fractions by applying their understanding of equivalent fractions. The focus is on mastering the skill of manipulating fractions to facilitate efficient computation and problem-solving.
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Learning goals
- We are learning to solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions.
- We are learning to solve problems involving addition and subtraction of fractions with the same or related denominator, using strategies such as number lines and diagrams.
Curriculum alignment
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-AR-01
new
Selects and applies appropriate strategies to solve addition and subtraction problems
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.