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Chapter 8: Dividing Fractions

Chapter 8: Dividing Fractions. MAFS.5.NF.2.7 ; MAFS.5.NF.2.7a; MAFS.5.NF.2.7b ; MAFS.5.NF.2.7c. Vocabulary. 1. dividend​ the number that is to be divided in a division problem Ex:

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Chapter 8: Dividing Fractions

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  1. Chapter 8: Dividing Fractions MAFS.5.NF.2.7 ; MAFS.5.NF.2.7a; MAFS.5.NF.2.7b ; MAFS.5.NF.2.7c

  2. Vocabulary 1. dividend​ the number that is to be divided in a division problem Ex: 2. equation​ an algebraic or numerical sentence that shows that two quantities are equal, equations have an equal sign Ex: n X 2 + 16 = 24 n = 4 3. fraction​ a number that names a part of a whole or a part of a group 4. quotient​ the number, not including the remainder, that results from dividing 5. whole number​ a number that belongs to the set 0, 1, 2, 3, . . .

  3. Decimal Misconceptions Review Adding • Line up the decimals. • Put in 0’s for place holders. Subtracting • Line up the decimals. • Put 0’s for place holders. Dividing • If divisor is not a whole number, move decimal to make it a whole number. Then move that many times in dividend. • Divide as usual. Multiplying • Count decimal places in problem. • Multiply as usual. • Put decimal back in (as many as you counted)

  4. Multiplying Fractions Review • If you have a mixed number in your problem, turn it into an improper fraction before you multiply. • If you have a whole number, put a 1 for the denominator and multiply.

  5. Fractions as Division REMEMBER: The denominator is Your divisor. The numerator Is your dividend. SONG: https://www.youtube.com/watch?v=nMZJKGyu-Kk

  6. Dividing Fractions (Old School) Rules: • KEEP the first fraction. • CHANGE the division symbol to multiplication symbol. • FLIP the last fraction. • Solve. Example: ⅚ ÷ ½ = ⅚ ÷ 2/1 = 7/6 or 1 ⅙ 31 4 ÷6= K CF

  7. Dividing Fractions (Old School) Cont’d • ¾ ÷ ⅛ = 2. ¼ ÷ 3 ⅖ = 3. 2/8 ÷ 4 = 4. 5 ÷ ⅔ =

  8. Division with Fractions- Word Problems • Mrs. Ransom is preparing to tape up posters made by her students on the wall. She cuts tape in ⅕ foot pieces. How many ⅕ foot pieces can she cut from 6 feet of tape. 2. Amy and Christian are helping with the basketball banquet. They need 3 dozen balloons. They will put ⅓ at each table. How many tables do they need?

  9. Word Problems- Cont’d 4. Julio has 15 pounds of candy. He wants to put the candy into bags so that each bag has ⅕ pound of candy. How many total bags of candy can Julio make? 3. Julio has 10 pounds of candy. He wants to put the candy into bags so that each bag has 1/2 pound. Which equation shows how to calculate the number of bags of candy Julio can make? A. 20 × 1/2 = 10 B. 20 × 2 = 32 C. 20 × 10 = 1/2 D. 20 × 10 = 200

  10. Create Your Own Word Problems *Let’s keep it division.

  11. Division with Fractions (new school) Area Models • 8 ÷ ¼= Ex: 4 ÷ ½ = Rules: Step 1: Draw four large rectangles to represent the whole number. Step 2: Divide each rectangle into halves. Step 3: Count ALL the parts.

  12. Division with Fractions (new school) Number Lines • 8 ÷ ¼= Using a number line to help you divide a whole number by a fraction. Ex: 6 ➗ ½ Rules: Step 1: Draw a number line from 0-6. Divide the number line into halves. Label each half on the number line, starting with ½. Step 2: Skip count by halves from 0 to 6 to find 6 ➗ ½. Step 3: Count the number of skips. It takes __ skips to go from 0-6. So the quotient is __.

  13. PEMDAS (doesn’t go away) Order of Operations (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) • ⅞ ÷ (¼ +3/6) = • ½ ÷ (⅘ - ⅓ ) =

  14. MAFS Workbook P. 109-110 P. 121-122 P. 175- 176

  15. Division with fractions - Review for Test • 5 ÷ 2 = • Six friends share 4 oranges equally. How much does each friend get? • Amelia has ¼ pound of trail mix that she will divide equally among four bags. Shade the diagram to show the fractional part that will be in each bag. OLD SCHOOL Write the problem:

  16. Division with Fractions - Review for Test 4. Konnor made a loaf of pumpkin bread. She gave equal portions of ½ of the loaf to 4 friends. Which diagram could she use to find the fraction of the loaf that each friend received. CIRCLE ALL THAT APPLY. C. D. OLD SCHOOL Write the problem:

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