Egyptian fractions worksheet

One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators.

When all identified resources have been successfully moved, this website will close. We expect this to be in June This unit has a brief look at what is known about Egyptian Fractions. These are unit fractions — fractions whose numerator is one. We look at how fractions can be represented in terms of Egyptian Fractions. Finally we suggest a web site that students might like to use as resource material for a small project. Students also practice adding and subtracting fractions, and looking for patterns.

Egyptian fractions worksheet

Pupils can learn about fractions by doing divisions the Egyptian way! Your rating is required to reflect your happiness. It's good to leave some feedback. Something went wrong, please try again later. Simple and wonderfully clear explanations of how to do it and why it was practical. Empty reply does not make any sense for the end user. The PowerPoint is excellent for explaining what an Egyptian fraction is and relating it to a real life situation. Thanks very much. Just what I need to do some functional maths with my Year 7's - getting them to think about how fractions relate to real things - like carts of grain! Report this resource to let us know if it violates our terms and conditions.

Remind the class what an Egyptian Fraction is and that, in the last lesson, they were adding two Egyptian Fractions. Can egyptian fractions worksheet find an efficient method for doing this? Another goal is to help them develop fraction number sense by having students decompose fractions.

Or search by topic. Egyptian Fractions printable sheet. Instead they wrote fractions like these as a sum of different unit fractions. You can start by exploring unit fractions at Keep it Simple In this problem we are going to start by considering how the Egyptians might have written fractions with a numerator of 2 i. You might want to check that these are correct. If you can't see how these have been generated, take a look at Keep it Simple. Try some other fractions with a numerator of 2.

Consider the problem: Share 7 pies equally among 12 kids. Suppose we took this task as a very practical problem. Here are the seven pies:. How about the next best thing — can each child get half a pie? There are certainly 12 half pies to dole out. There is also one pie left over yet to be shared among the 12 kids. Divide this into twelfths and hand each kid an extra piece. This seems quite reasonable. Following the example above, how could you do it?

Egyptian fractions worksheet

One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Another goal is to help them develop fraction number sense by having students decompose fractions. Because the Egyptians represented fractions differently than we do, it can also help students understand that there can be many ways of representing the same number. This helps prepare them for writing algebraic expressions in 6th grade. This task is an instructional task; the teacher may wish to supplement part b of the question in two directions:. In general, however, they used tables in order to break down fractions into sums of unit fractions. One issue which comes up in the solution is that there are apparently many ways to write an Egyptian fraction. This leads to an interesting question: how do you find the "best'' Egyptian fraction representing a given fraction? Here a reasonable interpretation of "best'' would be one which has the smallest number of unit fractions. This problem will be addressed in a second task which falls under the high school algebra standards.

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Creative Commons "Sharealike". Can we get an Egyptian Fraction representation this way too? The PowerPoint is excellent for explaining what an Egyptian fraction is and relating it to a real life situation. This is 0. In Copymaster 1 we have given a few Egyptian Fractions for the students to get started on. File previews. It seems that we can get an Egyptian Fraction representation starting with any Egyptian Fraction that is less than our target fraction. Have a look at some examples of Egyptian Fractions. You can find references to results in this field that were proved in the s and in the s, and you can also find some open questions - things mathematicians think are true, but have not been proved yet. When all identified resources have been successfully moved, this website will close. What other numbers have the sum equal to the product and can this be so for any whole numbers? There are a number of things that they could report on. Give the students time to summarise what they have done during this lesson. Home Resource Finder. Session 3 We now have a pretty good idea of what we can do just using Egyptian Fractions.

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You might also allow each group to report on what they have found. Introduce the idea of Egyptian Fractions to the class. Student View. Give them time to work this out. Note that. Access to the internet Copymasters One and Two. This will settle the conjecture one way or the other depending on which way they voted. Special Sums and Products Find some examples of pairs of numbers such that their sum is a factor of their product. This unit has a brief look at what is known about Egyptian Fractions. So you may need to lead them to the second one. Your students should be able to get infinitely many representations for each of these as there are an infinite number of places to start. AO elaboration and other teaching resources.