Learning Goal
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
5.NF.B.7 -- Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
5.NF.B.7a -- 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) x 4 = 1/3.
5.NF.B.7b -- 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 x (1/5) = 4.
5.NF.B.7c -- 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?
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5.NF.B.7 -- Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
5.NF.B.7a -- 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) x 4 = 1/3.
5.NF.B.7b -- 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 x (1/5) = 4.
5.NF.B.7c -- 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?
What you'll learn
- Interpret division of a unit fraction by a whole number as splitting that fraction into equal parts, and compute the resulting quotient (e.g., (1/3) / 4 = 1/12)
- Interpret division of a whole number by a unit fraction as counting how many unit fractions fit into the whole number, and compute the resulting quotient (e.g., 4 / (1/3) = 12)
- Use the inverse relationship between multiplication and division to verify quotients involving unit fractions (e.g., check (1/3) / 4 = 1/12 because 1/12 x 4 = 1/3)
- Construct visual fraction models -- such as fraction bars and number lines -- that represent both types of division
- Create story contexts (word problems) for expressions of the form (1/n) / c and c / (1/n), and solve real-world problems involving both types
- Distinguish between the two division types -- recognizing that (1/3) / 4 and 4 / (1/3) produce very different results and answer very different questions
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
Dividing unit fractions and whole numbers
✓ Start hereConnecting and applying fraction division
Practice
Try it on your own