1 / 18

Proper fractions

Proper fractions. The value of the numerator is less than the value of the denominator. Proper in this case does not mean correct or best. Improper fractions. The value of the numerator is greater than or equal to the value of the denominator. Exploration 5.12. Drawn to scale

jesse
Download Presentation

Proper fractions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Proper fractions The value of the numerator is less than the value of the denominator. Proper in this case does not mean correct or best.

  2. Improper fractions • The value of the numerator is greater than or equal to the value of the denominator.

  3. Exploration 5.12 • Drawn to scale • Part 1 Use reasoning not algorithms to answer #1 • Part 2 Use reasoning to answer #1 and 2

  4. Mixed numbers • Meaning of

  5. Writing mixed numbers as improper fractions • The algorithm that is taught in schools obscures the meaning. This is true for many algorithms, which are “efficient” ways of carrying out operations.

  6. Write mixed number as improper fraction and vice versa

  7. Adding and subtracting fractions

  8. 1/2 + 1/3

  9. Multiplying fractions • Repeated addition model • Area model

  10. Multiplication of fractions • Fraction as operator • The multiplication algorithm is best explained by the area model.

  11. 2/3 of 2 1/2

  12. Mixed number times mixed number

  13. Dividing fractions • Division of fractions is most easily understood as repeated subtraction.

  14. 11 divided by 1 1/2

  15. Multiplicative inverses • The multiplicative inverse of a is 1/a

  16. Dividing fractions • Because division is the inverse operation of multiplication, dividing a number by a fraction is equivalent to multiplying the number by the multiplicative inverse, called the reciprocal, of the fraction.

  17. Explorations 5.13 and 5.14 • 5.13 In Class Part 1, #2, 3 • For HW 4-7 and Part 2, #1 5.14 #1-5

More Related