## Common Core State Standards for Mathematics

Grade(s) 5 resources related to the following standard:
Number and Operations—Fractions
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
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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This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Five student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study).
Reference Materials
This problem provides an opportunity for students to reason about ratio and proportion in the realistic context of mixing a fruit drink from concentrate. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, and links to related problems (Blackcurrantiest is cataloged separately).
Activity
This interactive applet helps children develop the concept of fractions as division and equal sharing. The aim is to divide the chosen number of pikelets (small thick pancakes in the UK) into equal portions to share among the selected number of people. Users divide each pikelet into equal parts as needed and distribute them to each person to achieve equal shares.
Activity, Interactive Media
This progressions document from the Common Core Standards Writing team explains how fractions are incorporated in the standards from third grade through fifth grade. Each grade level includes an explanation, important vocabulary, and illustrations.
Instructional Strategy, Reference Materials
This game requires students to divide the unit into fractions in order to distribute the proper laser power to the space creatures. Each level begins with a laser with a value of 1 that must be divided into several parts (from 1/2 to 11/24). The first few levels simply show how to redirect the laser, and then each level builds to more complicated fractions. The user may play the game straight through or choose a level of difficulty.
Game, Video
This web page links to a series of 6 pages of number puzzles (141 altogether) which develop flexibility and computational fluency. Puzzles provide a target number and several other numbers, each of which must be used exactly once to arrive at the target. Solvers may use any of the four basic operations (addition, subtraction, multiplication, division) and parentheses. Most puzzles are solvable with whole numbers, but a few solutions involve fractions. Each puzzle contains a hint as well as at least one solution. Red asterisks indicate more difficult puzzles.
Activity, Problem Set
Grade Level: 3, 4, 5, 6+
This lesson activity from NCTM's Mathematics Teaching in the Middle School presents a fraction activity in which comparing fractions is explored through the use of sharing chocolate bars. In the lesson students present their reasoning, keep a table, and discover patterns. The PDF lesson/article contains many variations for challenge and extension.
Activity, Reference Materials, Article
This 88-page document addresses the meaning of the Common Core State Standards for teaching fractions in grades 3-7. For each grade level the specific standards that are addressed are listed, followed by a detailed explanation of what the standards mean, including visual models, and any misconceptions teachers or students might have about how specific standards apply to fractions in the CCSS.
Instructional Strategy, Reference Materials, Article
Grade Level: 3, 4, 5, 6+
In this 7-minute video Dr. David C. Geary describes how to build students' understanding of the concepts behind the operations with fractions. He identifies the reasoning behind several student misconceptions and urges teachers to use these misconceptions to build conceptual understanding. A transcript of the video is available in PDF format.
Video