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  1. Compare unit fractions with different denominators (e.g. 1/3, 1/4, 1/5). Compare fractions with the same denominator (e.g. 1/5, 2/5, 3/5). Encourage strategies for deciding whether a fraction (unit or non-unit) is less than half, equal to half or greater than half.

  2. An understanding of fractions and how to add, subtract, multiply and divide is a foundation for work in primary mathematics. Explanations of some of the terms that have been used in this document can be found in the glossary on our website. Part 2 of this document contains exercises to practise.

  3. In this unit we shall look at the basic concept of fractions — what they are, what they look like, why we have them and how we use them. We shall also look at different ways of writing down the same fraction.

  4. Summary of fraction notation conversion and operations using fractions. Definitions with examples: Numerator: top number in a fraction. Denominator: bottom number in a faction. Mixed faction: h. ; example: 3 . Improper fraction: top number greater than bottom number; example: . into two different numbers. Example: ; has a.

  5. When teaching fractions, we need to take into account that fractions can be interpreted in several different ways (Kieran, 1976, 1993). The interpretations are part-whole, ratio, operator, quotient, and measure.

  6. Fractions: adding and subtracting. In this unit we shall see how to add and subtract fractions. We shall also see how to add and subtract mixed fractions by turning them into improper fractions.

  7. The ability to work confidently with fractions, both number fractions and algebraic fractions, is an essential skill which underpins all other algebraic processes. In this leaflet we remind you of how number fractions are simplified, added, subtracted, multiplied and divided.

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