Numbers+&+Operations+-+Fractions

Part-Whole Number Lines Equivalence & Comparing
 * __**Third Grade**__
 * Numbers and Operations - Fractions**

 **1) Part-Whole:** 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 Unit 13 - All Lessons, including Optional Lesson 5; Unit 13 Home Practice Unit 15 - Lesson 1, 2 (concentrate only on common fractions, not decimals) Unit 17 - All Lessons || Fast Food for Thought by Delta Education, Inc. (Activities 1-11) - See Sherry Helus || __Virtual Fraction Tiles__ __Illuminations - Fraction Models__ __BBC - Fraction Models__ __NLVM - Naming__ __NLVM - Visualizing__ __Visual Fractions__ || __//Informational//__ __//Games/Practice//__ Fraction Balls Matching Game (Harcourt) Bowling for Fractions (Harcourt) Fractions of Shapes Quiz Fractions of Groups Quiz || Fraction Basics (Free) Math Fractions: Understanding Fractions Lite (Free) Pizza Fractions (Free) Pizza Fractions: Comparing Simple Fractions ($0.99) Jungle Fractions ($2.99) Everyday Mathematics - Equivalent Fractions (McGraw Hill School Education Group) ($1.99 - Free in May of 2011) Freddy Fraction (Free) Tic Tac Math Fractions ($4.99) Slice it! ($0.99) || Unit 13 using vaious types of fraction examples. As you work through question 1, it may help to also label the parts of the whole right on the pieces as you work through the lesson to help students visualize what the fraction means (e.g. tape a 1/2 on each trapezoid and explain the top number means it is 1 piece and the bottom number means it will take 2 of those pieces to cover the whole.) Demonstrate how the labels change as the whole changes.
 * ~ **Part-Whole Resources** ||
 * __Math Trailblazer Units & Lessons__
 * __Supplemental Lesson Plans__
 * __Assessments__ ||
 * __Instructional Websites__
 * Parent/Student Resources
 * __iPad Apps__
 * __Differentiation/Modification__
 * Lesson 1- Small direct instruction group on numerator and denominator. Directly teach what the numerator and denominator represent
 * Lesson 2- Add a label to the pattern block that is currently the whole (e.g. tape a 1 to the yellow hexagon when it is the whole).
 * Lesson 3 & 4- Use fraction helper game cards or other visual/manipulative supports

Unit 17 Magnify Geoboard paper. Start with a smaller rectangle (e.g. area of 4). Use pre-folded/pre-colored papers and have the studens help label them. Fraction Introduction Numerator & Denominator Song Tutorials for Kids Conceptua Math || Fast Food for Thought by Delta Education, Inc. (Games 1 & 2) - See Sherry Helus The Decimal Factory by Creative Publication - See Sherry Helus, Lessons 1-4 (Writing Fractions) Fraction Tutor Box by Childcraft Math (20 individual and small group activities)- See Kelsey Feyes ||
 * Lesson 1- Use different colored rubber bands for big rectangle and dividing lines. Use different colored rubber bands to help mark off area.
 * Lesson 2- Color shaded area a bright color. Draw dark lines along folds to help students see the different parts. Assist with coloring/folding/marking lines.
 * Lesson 4- Use pattern blocks, fraction helper game cards, or other visual supports for comparing fractions. ||
 * __Videos__
 * __Additional Resources__

 **2) Number Line:** Understand a fraction as a number on the number line; represent fractions on a number line diagram a) Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. b) Represent a fraction a/b on a number line diagram by marking off a links 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on a number line. Unit 13 - Home Practice Part 2; All DAB (199-213) Unit 15 - Lessons 2, 3 (concentrate only on common fractions, relate ruler to number line and space between numbers on graph as fractional parts) Unit 17 - All Lessons can be adapted by adding a number line as a reference point when students are working with the fractions || Illuminations - Fraction Models Rename Lowest Terms Rename Highest Terms Comparing with Number Lines || //Informational// //Games/Practice// || Fraction Factory (Free) Lobster Diver (free) Pearl Diver (free) || __Conceptua Math__ ||  **3) Equivalence & Comparing:** Explain equivalence of fractions in special cases and compare fractions by reasoning about their size. a) Understand 2 fractions as equivalent (=) if they are the same size or the same point on a number line. b) Recognize and generate simple equivalent fractions (ex. 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent (ex. by using a visual fraction model). c) Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers. (ex. Express 3 in the form 3=3/1. Recognize that 6/1 = 6. Locate 4/4 and 1 at the same point of a number line diagram). d) Compare 2 fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the 2 fractions refer to the same whole. Record the results of comparisons with the symbols >, =, < and justify the conclusions (Ex. by using a visual fraction model) Unit 13 - Lessons 1-4 Unit 15 - Home Practice, Part 3/#3, DAB 231 Unit 17 - Lesson 2 || Fast Food for Thought by Delta Education, Inc. (Activities 12-17) - See Sherry Helus || Illuminations - Fraction Models Visual Fractions NLVM - Equivalent Fractions NLVM - Comparing Comparing with Number Lines Comparing with Circles || //Informational// //Games/Practice// Arcademic Skillbuilders - Dirt Bike Comparing Fractions Fraction Freeze Equivalents Quiz Simplifying Quiz Comparing Quiz Matching Game Factotron Game Fraction Basketball Fresh Baked Fractions - Funbrain Comparing Fractions, Decimals, and Percents Game || Fraction Basics (Free) Math Fractions: Understanding Fractions Lite (Free) Pizza Fractions (Free) Pizza Fractions: Comparing Simple Fractions ($0.99) Jungle Fractions ($2.99) Everyday Mathematics - Equivalent Fractions (McGraw Hill School Education Group) ($1.99 - Free in May of 2011) Freddy Fraction (Free) Tic Tac Math Fractions ($4.99) Fraction Poker ($2.99) || __Tutorials for Kids__ __Conceptua Math__ || Fast Food for Thought by Delta Education, Inc. (Games 1, 2 & 3) - See Sherry Helus The Decimal Factory by Creative Publication - See Sherry Helus, Lessons 7 (Comparing Fractions) Fraction Tutor Box by Childcraft Math (20 individual and small group activities)- See Kelsey Feyes ||
 * ~ **Number Line Resources** ||
 * __Math Trailblazer Units & Lessons__
 * __Supplemental Lesson Plans__ ||
 * __Assessments__ ||
 * __Instructional Websites__
 * __Parent/Student Websites__
 * __iPad Apps__
 * __Differentiation/Modification__ ||
 * __Videos__
 * __Additional Resources__ ||
 * ~ **Equivalence & Comparing Resources** ||
 * __Math Trailblazer Units & Lessons__
 * __Supplemental Lesson Plans__
 * __Assessments__ ||
 * __Instructional Websites__
 * __Parent/Student Websites__
 * __iPad Apps__
 * __Differentiation/Modification__ ||
 * __Videos__
 * __Additional Resources__