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Fraction Operations

Fraction Operations. Using Pattern Blocks. Fractions CCSS. 4.NF.3c Add and subtract mixed numbers with like denominators. 4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Fractions CCSS.

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Fraction Operations

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  1. Fraction Operations Using Pattern Blocks

  2. Fractions CCSS • 4.NF.3c Add and subtract mixed numbers with like denominators. • 4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number

  3. Fractions CCSS • 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. • 5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. • 5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

  4. Fractions CCSS • 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. • 7.NS Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

  5. Adding Fractions Using Pattern Blocks

  6. Start Out Simple + To simplify: =

  7. Start Out Simple + To simplify: =

  8. Try

  9. Unlike fractions + = Change to same denominator: = + Cannot make another shape (Simplified)

  10. Unlike fractions + = Change to same denominator: = = +

  11. Try

  12. Subtracting Fractions Using Pattern Blocks

  13. Start Out Simple - To simplify: =

  14. Try

  15. Unlike fractions - = Change to same denominator: = - Cannot make another shape (Simplified)

  16. Simplifying - To simplify: = =

  17. Unlike fractions - = Change to same denominator: = -

  18. Try

  19. Multiplying Fractions Using Pattern Blocks

  20. Multiplying Fractions ½ X ½ means ½ of ½ which means: one of two equal parts of one-half. Pictorially: One-half ½ of one-half

  21. Multiplying Fractions 1/3 X ½ means 1/3 of ½ which means: one of two equal parts of one-half. Pictorially: One-half 1/3 of one-half

  22. Try

  23. Dividing Fractions Using Pattern Blocks

  24. Dividing Fractions 6  2 can mean: In 6, there are how many groups of 2?  There are 3 groups of 2 in 6, so 6  2 = 3 This is important for us when dividing fractions.

  25. Dividing Fractions means: In one whole, there are how many halves? Pictorially: needs how many to cover it? Two cover a

  26. Dividing Fractions means: In one-half, there are how many sixths? Pictorially: needs how many to cover it? Three cover a

  27. Dividing Fractions means: In two-thirds, there are how many sixths? Pictorially: needs how many to cover it? Four cover

  28. Try-- handout

  29. Try-- handout

  30. Try-- handout

  31. Try-- handout

  32. Dividing Fractions means: In one-half, there are how many thirds? Pictorially: needs how many to cover it? We need to think of this slightly differently because it is more than 1 but less than 2

  33. Dividing Fractions

  34. Try

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