7) Fractions: Division, including Real-World Problems!
5.NF.B.7 (A, B & C)
5.NF.B.7 (A, B & C)
I can use what I know about division to divide fractions by whole numbers or whole numbers by fractions.
A) I can divide a fraction by a whole number (not 0) correctly. Video: YouTube: Mr. J: Divide Fractions by Whole #s
Video: Divide a unit fraction by a whole number Practice: Divide unit fractions by whole numbers Create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Great Lesson from Learning Farm! Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3. B) I can divide a whole number by a fraction correctly.
Video: Visually divide whole numbers by unit fractions
Practice: Visually divide whole numbers by unit fractions. Video: Phillip divides whole #s by fractions Video: Divide a whole number by a unit fraction Practice: Divide whole numbers by unit fractions C) I can use what I know about division problems involving fractions to solve real world problems.
Example: Mario had 1/6 of his birthday cake left over. He wants to share the leftovers equally between himself and 3 friends (total of 4 people). What fraction of the original cake will each person receive? Draw a picture to support your answer. |
If you want to read the CA State Standards:
7. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. [Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.] a. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3. b. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4. c. Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? |