Egyptian fractions worksheet

Pupils can learn about fractions by doing divisions the Egyptian way!

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.

Egyptian fractions worksheet

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. In this unit we spend a great deal of time adding and subtracting fractions in the context of Egyptian Fractions. The outline of the unit looks more like an investigation of Egyptian Fractions than a series of lessons that reinforce arithmetic of fractions. So problem solving is applied to Egyptian Fractions to see what we can find out about them.

Give the students time to summarise what they have done during this lesson. In the last lesson we looked at when two Egyptian Fractions can be added together to give another Egyptian Fraction. Which fractions can be represented by egyptian fractions worksheet Egyptian 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.

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.

Egyptian fractions worksheet

Forgot password? New user? Sign up. Existing user? Log in. Already have an account? Log in here. Dating back to over 2, B. The Egyptian mathematicians exclusively used only unit fractions in their perception and did not seem to accept the idea of vulgar fraction, where the numerator is divided by denominator, as we do today.

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Why did they only include the odd ones? If you can't see how these have been generated, take a look at Keep it Simple BUT wouldn't it be simpler to write it as the sum of just two different unit fractions? What do these results tell us about our conjecture? Introduce the idea of Egyptian Fractions to the class. As you see, we have done this via decimals. Remind the class what an Egyptian Fraction is and that, in the last lesson, they were adding two Egyptian Fractions. Search by keyword to find the right resource:. Finally we suggest a web site that students might like to use as resource material for a small project. What sums did we get? NA Generalise the properties of operations with fractional numbers and integers.

Or search by topic. This problem follows on from Keep it Simple. You could choose to set the scene briefly by asking students what they know about mathematics throughout history, establishing the idea that some historical maths is distinctly odd to our modern view point.

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! 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. In Copymaster 1 we have given a few Egyptian Fractions for the students to get started on. If you can't see how these have been generated, take a look at Keep it Simple BUT wouldn't it be simpler to write it as the sum of just two different unit fractions? Which fractions can be represented by three Egyptian Fractions? All of the fractions we have considered do have Egyptian Fraction representations. As part of this unit we suggest that students undertake a project based on material that they can find on the Internet. Can something be done? Can you find an efficient method for doing this? Throughout history, different civilisations have had different ways of representing numbers.