5th Grade Algebraic Thinking Resources
An Egyptian fraction is the expansion of a non-unit fraction into a sum on unique unit fractions. For instance, 2/3 = 1/2 + 1/6 is an Egyptian fraction expansion, while 2/3 = 1/3 + 1/3 (not unique) and 2/3 = 1/3 + 2/9 + 1/10 + 1/90 (not all unit fractions) are not. Use this resource to explore these ideas, while getting some visual supports and an answer if needed. The provided answer is generated with what is called the Greedy Algorithm, which is not always the "best" expansion. See https://en.wikipedia.org/wiki/Egyptian_fraction for further explanation.
A random function (or "rule") is generated based on the sliders. Send the numbers through the machine to figure out what the rule is. Click on the boxes to see the rule in equation or word form. Alternatively, show the rule then predict the outputs before sending the number through.