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Grade: Third Lesson 14 Understand What a Fraction Is Week: 15 Learning Targets Essential Question: What is a fraction? How does knowing the number of fractional parts in a whole help you understand and think about the size of each fractional parts? Big Idea: Fractional parts are equal shares or equal-sized partitions of a whole. Unit fractions can be composed to represent a larger share of a whole and decomposed to represent a smaller share of the whole. EduTools Task Arc: Understanding Fractions as Numbers http://www.edutoolbox.org/sy stem/files/rasp_file/3rdGradeT askArcreduced.pdf Task 2: Shares of Clay pp.29-31 Number Talks Standard: 3.NF.A.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. Math Practices: 2,3,4,&6 ● ● ● ● ● ● ● ● ● ● ● ● ● ● Vocabulary composed decomposed denominator equal parts fraction numerator one-eighth; 1/8 one-fourth; 1/4 one-half; 1/2 one-sixth; 1/6 one-third; 1/3 partitioned unit fraction whole This standard refers to the sharing of a whole being partitioned or split. Fraction models in third grade include area (parts of a whole) models (circles, rectangles, squares) and number lines. In 3.NF.1 students should focus on the concept that a fraction is made up (composed) of many pieces of a unit fraction, which has a numerator of 1. For example, the fraction 3/5 is composed of 3 pieces that each have a size of 1/5. https://grade3commoncoremath.wikispaces.hcpss.org/3.NF.1 Fun with Pattern Block Fractions http://illuminations.nctm.org/LessonDetail.aspx?ID=U113 K-5 Math Teaching Resources http://http://www.k-5mathteachingresources.com/3rd-grade-numberThird Grade Classroom pp.316- activities.html Books by Sherry Parrish 323 Student Thinking & Number Talks in the 3-5 Classroom pp.157-286 Illustrative Mathematics Naming the whole for a fraction ● ● Students must understand how a fraction a/b can be decomposed into 1/b a times (e.g., 4/6 can be decomposed into 4 pieces, each with a size of 1/6) through the use of models or equations. Students must explain how a fraction 1/b a times can be composed into a/b (e.g., 1/8 + 1/8 + 1/8 will compose to create 3/8) through the use of models or equations. Strategies: ● Understand Concept of a Whole (2/2) ● Understand Equal Parts ● Numerator and Denominator ● Use Pattern Blocks to Show Wholes/Parts ● Use Paper Plates to Show Wholes/Parts 3-ACT None-Applicable Fraction Visualizing Naming Fractions Activities Name the Fraction Games Fraction Barrier Game Grid Fraction Roll, Shake, and Dump Equal Parts on the Geoboard Fractions Basics Exploring Fraction Kits Illuminations Concentration Finding Fractions of a Group VK Fractions Find One Half of a Group Jelly Golf Fraction Fling Give Me Half Bowling For Fractions Books Additional Support Eating Fractions McMillan What is the Whole Give Me Half Stuart Murphy Varnelle's Introduction to Fractions Parts of a Whole Only One Marc Harshman Hershey's Milk Chocolate Fractions Jerry Pallata Picture Pie Ed Emberley Fraction Action Loreen Leedy Contributors: Quinena Bell, Kimberly Osborne, Christa Campbell, Misty Dobbs, Sia Phillips, Caleb Jones, Stephanie Turner Name: Date: Fractions Multiplication/Division Addition/Subtraction Represent the fractions ½, ¼, and 2/4 on a number line that begins with 0 and ends with 1. Explain your reasoning. A teacher wants to place her 24 students into equal groups. How many different ways can she arrange the groups? I had $1.00. I bought two pencils that each cost $ 0.28. How much did the pencils cost? How much change did I receive from $1.00? Elapsed Time Missing Addend Math Riddle Mr. Smith arrived at work at 9:15 am. If he spent 35 minutes driving to work, what time did he leave work? Explain your thinking. 207 + ____= 500 Commutative Property Perimeter The product of two numbers is 24 and their sum is less than 15. What might the two numbers be? Writing in Math Sarah says the product of 2 x 3 x 4 is How many different rectangles can you less than the product of 4 x 3 x 2. Is draw with a perimeter of 16 cm? she correct? How do you know? I solved a division story and got an answer of 7. What might the number story have been? AUTHOR: HANNELORE DICKERSON 15