Learning Goal
Interpret a fraction as division of the numerator by the denominator
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.3**: Interpret a fraction as division of the numerator by the denominator (a/b = a / b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
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5.NF.B.3: Interpret a fraction as division of the numerator by the denominator (a/b = a / b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
What you'll learn
- Explain in their own words why a fraction a/b is equivalent to the division expression a / b, using the fair-sharing interpretation: dividing a items equally among b people gives each person a/b
- Interpret a division problem whose quotient is not a whole number and express the answer as a fraction or mixed number rather than writing a remainder
- Verify the fraction-as-division relationship by multiplying back: if a / b = a/b, then (a/b) x b = a
- Solve word problems in which whole numbers are divided and the result is a fraction or mixed number, selecting an appropriate visual model (equal-sharing diagram, number line, or equation) to represent the situation
- Locate a fractional or mixed-number quotient between two consecutive whole numbers on a number line, demonstrating understanding of its magnitude
Slides
Step through the lesson, or watch it as a narrated video
Fractions as division
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