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Features

  • The goal and its "I can" line, what to get ready and the words to use
  • A 45 minute lesson in five steps (warm up, teach with words to say, try it together, practice, exit ticket)
  • Questions to ask, and the mistakes students make and what to do about them
  • Ideas for students who need help or are ready for more
  • Each plan ends with the Animal Math worksheets, tools and quiz for that lesson
  • Lessons: a unit fraction divided by a whole number, a whole number divided by a unit fraction, checking by multiplying, division stories, dividing fractions, fractions as decimals, comparing on a number line and percents
  • Lessons 9.5 to 9.8 (dividing a fraction by a fraction, fractions as decimals and back, comparing and ordering on one number line, and percents) are for the states that teach them in 5th grade

5th Grade Math CurriculumUnit 9

These are the lesson plans for Unit 9 of 16 in the 5th Grade Math Curriculum: 127 lessons in teaching order, week by week, each with a lesson plan and an exit ticket.

Also for this unit: exit tickets, pre-check, unit review and test. See the whole year

Resources for Each Lesson

Everything each lesson plan points to, with links. Sheet numbers count worksheets: a color pack prints each sheet again in black and white.

9.1 A unit fraction divided by a whole number

9.2 A whole number divided by a unit fraction

9.3 Check by multiplying

9.4 Fraction division stories

9.5 A fraction divided by a fraction ★

9.6 Fractions as decimals and back ★

9.7 Compare and order on a number line ★

9.8 Percents as parts of 100 ★

★ Taught in 5th grade in some states.

Skills Covered

  • A unit fraction divided by a whole number
  • A whole number divided by a unit fraction
  • Check a division by multiplying
  • Missing numbers in a division
  • Fraction division stories
  • Divide a fraction by a fraction
  • Fractions as decimals and back
  • Thirds as repeating decimals
  • Compare and order on one number line
  • Percents as parts of 100

How to Use This Pack

Eight lesson plans, one for each lesson of the ninth unit of 5th grade, dividing fractions, in teaching order, after an overview page that lays the unit out day by day: a pre-check, the eight lessons, a review and the unit test. Each plan fits on one page. It gives the goal, what to get ready, the words to use, the lesson in five steps with the words to say, questions to ask, common mistakes and what to do about them, and the Animal Math worksheets, tools and quiz for the lesson.

In the Classroom

Print the unit, or just the day's page, and teach from it. Each lesson takes about 45 minutes: a 5 minute warm up, 10 minutes of teaching, 10 minutes together, 15 minutes of practice and an exit ticket at the end. Area models, number lines and paper strips come before any rule, so students see why sharing a fraction makes it smaller and dividing by a unit fraction makes a bigger number. The exit tickets, pre-check, review and unit test are separate packs, made for these lessons, and the plans teach with other numbers than they use. Lessons 9.5 to 9.8 are taught in 5th grade in some states only: dividing a fraction by a fraction (Indiana), fractions as decimals and back (Oklahoma, Virginia), comparing and ordering on one number line (Indiana, Oklahoma, Virginia), and percents (Indiana); skip the ones your class does not learn.

At Home

Teaching at home? Use the warm up and the "Try it together" step as a short lesson, and the "Words to use" as the way to talk about it. Measuring cups and a scoop, a sandwich cut into equal pieces, folded paper and a handful of pennies show every idea in the unit. The mistakes to watch for are the ones most children make.

Tips for Success

  • Read the "Watch for" box before the lesson: it is what to listen for while students work
  • Ask "is a part being shared, or how many fit?" before every division
  • Check every division by multiplying the quotient by the divisor
  • Sort the exit tickets into got it, almost and not yet to plan the next day
  • Use the help and challenge ideas for small groups during practice

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.NF.A.2 Compare fractions with different numerators and denominators using common denominators or numerators, or a benchmark like 1/2; record with >, = or < and explain.
  • 4.NF.C.5 Rewrite tenths as hundredths, such as 7/10 = 70/100, to add a fraction in tenths to one in hundredths.
  • 4.NF.C.6 Write fractions with denominators 10 or 100 as decimals, such as 45/100 = 0.45, and find decimals like these on a number line.
  • 5.NBT.A.3b Compare two decimals to the thousandths by the value of the digits in each place, and record the result with >, = or <.
  • 5.NF.B.7a Divide a unit fraction by a whole number, such as (1/2) ÷ 3 = 1/6, using models and stories, and check by multiplying.
  • 5.NF.B.7b Find how many unit fractions fit in a whole number, such as 3 ÷ (1/4) = 12, using models and stories, and check by multiplying.
  • 5.NF.B.7c Solve real-life problems that divide unit fractions by whole numbers or whole numbers by unit fractions, like how many 1/4-cup scoops fill 3 cups.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

5th Grade Dividing Fractions Lesson Plans

Lesson plans for every lesson of a unit on dividing with unit fractions, and on fractions, decimals and percents as one number. Each one-page plan gives a lesson in five steps, common mistakes and the worksheets to use, after a unit overview.

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What’s Included

  • 8 one-page lesson plans, one for each lesson of the unit
  • A unit overview: the unit day by day, what to get ready, how each lesson goes
  • Words to say, questions to ask and common mistakes for every lesson
  • The worksheets, tools and quiz for each lesson (9 pages in all)
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