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Understanding Fractions: Basics of Equivalent, Mixed, and Improper Fractions

Explore the foundational concepts of fractions through engaging activities like paper folding and pattern blocks. Learn about equivalent fractions, mixed and improper fractions, and percentages of shapes. This resource covers the operations of multiplication and division of fractions, including practical examples such as sharing items and determining parts of a whole. Discover how to model fraction operations and visualize fractions using shapes, solidifying your understanding of these essential mathematical concepts.

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Understanding Fractions: Basics of Equivalent, Mixed, and Improper Fractions

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Presentation Transcript

  1. Fraction Basics = 1

  2. Fraction Extension • Equivalent fractions with pattern blocks and paper folding • Mixed and Improper fractions • Percent of shapes • Percent increase or decrease • Multiplication and division of fractions

  3. Equivalent Fractions = = 1 1

  4. EquivalentFractions withPaper Folding

  5. Numerator Denominator Number of Pieces Number of Pieces in a whole

  6. If a red isosceles triangle represents, What shape represents a whole?

  7. If a yellow hexagon represents 1 ½ , what does a whole look like?

  8. Improper Fractions

  9. Improper Fractions

  10. If a red isosceles triangle represents a whole, , What shape represents an decrease of 33%?

  11. Adding Fractions Common Denominator No Problem

  12. + +

  13. Try to Model this Addition Problem

  14. Adding Fractions with Paper Folding

  15. If a whole is 5 yellow hexagons What shape represents 1/3 of the whole?

  16. What Are We Really Doing as a Fraction Operation? • If a whole is 5 yellow hexagons, what shape represents 1/3 of the whole? • What is 5 divided by 3? • What is 1/3 of 5? • What is 1/3 X 5? • I have 5 cookies how much will each person get? • What is 33% of 5?

  17. If a whole is 5 yellow hexagons What shape represents 2/3 of the whole? or

  18. What Are We Really Doing as a Fraction Operation? • If a whole is 5 yellow hexagons, what shape represents 2/3 of the whole? • What is 2/3 of 5? • What is 2/3 X 5? • What is 67% of 5? • What is 1/3 taken away from 5? • What is 33% taken off of 5?

  19. Try to Model this Multiplication Problem

  20. Try to Model this Multiplication Problem

  21. Dividing Fraction • What is 2 whole divided equally into 3 groups? • Show that it makes since with repeated addition 2/3 + 2/3 + 2/3 • What is 2 divided by 1/3? • What is 2 divided by 2/3? • What is 4 divided by 1 ½ • What is 4 divided by 1 1/3? = 3 • What is 5 divided by 1 1/3 = 3 ¾ • What is 2 ½ divided by 2/3

  22. White Board Feedback StrategyThanks to Loni Watson, Seward

  23. WhiteOut

  24. A Duck • The yellow hexagon is what part of the duck? • The green equilateral triangle is what part of the duck?

  25. If this shape is represents a whole, The yellow hexagons are what part of the whole? The blue rhombi are what part of the whole? The green equilateral triangles are what part of the whole?

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