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Multiplying Fractions Using Models

Multiplying Fractions Using Models. NGSSS Connection. MA.6.A.1.1 Explain and justify procedures for multiplying and dividing fractions and decimals. MA.6.A.1.2 Multiply and divide fractions and decimals efficiently. MA.6.A.1.3

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Multiplying Fractions Using Models

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  1. Multiplying FractionsUsing Models

  2. NGSSS Connection MA.6.A.1.1 Explain and justify procedures for multiplying and dividing fractions and decimals. MA.6.A.1.2 Multiply and divide fractions and decimals efficiently. MA.6.A.1.3 Solve real-world problems involving multiplication and division of fractions and decimals.

  3. Think About It What do you think happens when you multiply a number by a fraction?

  4. How Do You Know When To Multiply? Symbols Words

  5. Multiplying Fractions and Whole Numbers2-1 A & B

  6. Multiplying Fractions and Whole Numbers 3 3 3 3 Model 1 Solve Step 1: Draw a bar to represent the whole number Step 2: Divide the bar into 4 equal parts Step 3: Determine the number that is in each section Step 4: Shade 12

  7. Multiplying Fractions and Whole Numbers Step 1: Draw a bar to represent the whole number Step 2: Divide the bar into equal parts Step 3: Determine the number that is in each section Step 4: Shade the fractional part

  8. Multiplying Fractions and Whole Numbers Joel bought 24 markers, and of them have gel ink. How many gel ink markers are there? What information do you need to solve the problem? 3 3 3 3 3 3 3 3 24

  9. Multiplying Fractions and Whole Numbers2-1 C & D

  10. Multiplying Fractions and Whole Numbers Model 2 Solve Used in the “Personal Tutor” Step 1: Model 2/5 x 6 Step 2: Move the shaded pieces around to fill as many columns as possible. + + + + +

  11. Multiplying Fractions and Whole Numbers Model 3 Solve Step 1: Construct a rectangle that is 2/5 units high and shade the fractional part Step 2: Make the rectangle 6 units wide 6 Step 3: Move the shaded pieces around to fill as many columns as possible.

  12. Multiplying Fractions and Whole Numbers Jenny made five loaves of banana bread that had cup of butter in each loaf. How many cups of butter were used in all? What information do you need to solve the problem? 5 OR

  13. Multiplying Fractions by Fractions2-2 A & B

  14. Multiplying Fractions Solve Step 1: Construct a rectangle that represents 1 whole. Step 2: Make the rectangle 2/3 units high and shade the fractional part. Step 3: Make the rectangle 4/5 units wide and shade the fractional part.

  15. Multiplying Fractions and Whole Numbers Step 1: Construct a rectangle that is 2/5 units high and shade the fractional part. Step 2: Make the rectangle 5/6 units wide and shade the fractional part.

  16. Multiplying Fractions About of an orchestra is made up of string instruments. If of the string instruments are cellos, what fraction of the orchestra is made up of cellos? What information do you need to solve the problem?

  17. Multiplying Whole Numbers & Mixed Numbers2-2 C

  18. Multiplying Whole Numbers and Mixed Numbers. Model 2 Solve Step 1: Model x 3 Step 2: Move the shaded pieces around to fill as many columns as possible. + +

  19. Multiplying Whole Numbers and Mixed Numbers. Model 2 Solve Step 1: Model x 2 Step 2: Move the shaded pieces around to fill as many columns as possible. +

  20. Multiplying Whole Numbers & Mixed Numbers Solve Step 1: Shade a rectangle that is 4 units high and units wide. Step 2: Combine the 1/3 pieces to make as many wholes as possible. 4

  21. 3

  22. 1 4 40

  23. 7

  24. 7

  25. Divide Whole Numbers by Fractions2-3 A & B

  26. Dividing Fractions and Whole Numbers Solve Step 1: Draw a bar to represent the whole number. Step 2: Divide each whole into fourths. of circled group st group Step 3: Determine how many groups of are in 2. nd group 2

  27. Dividing Fractions and Whole Numbers Step 1: Draw a bar to represent the whole number. Step 2: Divide each whole into thirds. Step 3: Determine how many groups of 2/3 are in 3.

  28. Dividing Fractions and Whole Numbers Melissa made taco dip for a party and used 5 cups of cheese. The recipe for one serving calls for cup of cheese. How many servings of taco dip did Melissa make? What information do you need to solve the problem? 5

  29. Divide Fractions by Fractions2-3 C & D

  30. Dividing Fractions by Fractions Solve Step 1: Draw a bar and represent 4/5. Step 2: Determine how many equal groups of 2/5 are in 4/5. 1st group 2nd group 4/5

  31. Dividing Fractions by Fractions Step 1: Rename the second fraction so that both fractions have a common denominator. Solve Solve Step 2: Draw a bar and represent 5/6. Step 3: Determine how many equal groups of 4/6 are in 5/6. 1/4 group 1st group 5/6

  32. Dividing Fractions by Fractions 1st group 2nd group 2/4

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