5.4.3Ma


 * Grade: 5Unit: 4 Week: 3** **Content: Fractions Dates: 1/7-1/11**


 * Theme Essential Question: **


 * Essential Questions: **
 * How can you add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators?
 * Can you solve word problems involving addition and subtraction of fraction?
 * How can you use visual fraction models or equations to represent the problem?
 * How can you use the benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers?


 * Standards **
 * 5.NF.1** //Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way to produce an equivalent sum or difference of fractions with like denominators.//
 * 5.NF.2** Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g. by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Objectives
 * TLW add and subtract fractions with unlike denominators.
 * TLW solve word problems involving addition and subtraction of fractions
 * TLW compose visual fraction models or equations to represent the problem.
 * TLW use benchmark fractions and number sense of fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Solve the following problems //Sandra and Tyler made two loaves of bread. On Monday, they ate ½ of one loaf. On Tuesday, they ate 1/3 of one loaf. How much bread was left?// //There are 6 brownies on a plate. Margaret ate 1 ½ brownies. Charles ate 2 ¼ brownies. Tyler ate 1 ¾ brownies. How many brownies are left on the plate?//
 * Assessment **
 * Product

//Tito and Luis are stuffed with pizza. Tito ate one fourth of a cheese pizza. Tito ate three-eights of a pepperoni pizza. Tito ate one-half of a mushroom pizza. Luis ate five-eighths of a cheese pizza. Luis ate the other half of the mushroom pizza. All the pizzas were the same size. Tito says he ate more pizza than Luis because Luis did not eat any pepperoni pizza. Luis says they each ate the same amount of pizza. Who is correct? Show all your mathemical thinking.//

//The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hiking. One fourth of the members are bike riding. One eighth of the members are rock climbing. Nine of the members are walking their dogs. How many Outdoor Club members are doing an activity on Saturday? Show all your mathematical thinking..//


 * Key Questions


 * Observable Student Behaviors (Performance)


 * **Mathematical Practices **
 * Make sense of problems and persevere in solving them.
 * Reason abstractly and quantitatively.
 * 3. Construct viable arguments and critique the reasoning of others.
 * Model with mathematics.
 * Use appropriate tools strategically.
 * Attend to precision.
 * Look for and make use of structure.
 * 8. Look for and express regularity in repeated reasoning. ||

Fraction Denominator Model Equivalent
 * Vocabulary **


 * Suggested Activities ** [see Legend to highlight MCO and HYS]

//Gizmos:// Fraction Artist 2 (Area Models of Fractions) Extend understanding of fractions by making modern paintings in the style of Piet Mondrian. Create and analyze paintings with different-sized sections. Compare the sizes of unit fractions. Find creative ways to color one-half of a painting. This can be a nice introduction to adding fractions with unlike denominators. Teacher Guide & Student Exploration Sheet Available

Fractions with Unlike Denominators Find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically. Teacher Guide & Student Exploration Sheet Available

//Odyssey: Add/Subtract Fractions Lesson (Found in Assignment Archive under District)// //Harcourt pages pages 348-351 & Harcourt Problem Solving 16.2// //Fraction Works- Add and Subtract Fractions T-10 Fractions in Action// //Extending Children’s Mathematics- Sample Addition and Subtraction Fraction Problems pages 209-210// //On Core Mathematics TE pages 56-60 Student Pages 105-112// //Investigations (2012) What’s My Portion Unit 4 Fractions on Clocks 3.1, 3.2, 3.3 pages 94-111//


 * Homework **


 * Terminology for Teachers **

** E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination ** High Yield Strategies ** ** S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice | ** N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback | ** G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers || ||
 * ||  ** Multicultural Concepts **

Resources

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 * Professional Texts **


 * Literary Texts **
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 * Informational Texts **
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 * Art, Music, and Media **
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 * Manipulatives **
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 * Games **
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 * Videos **
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 * Sight Words **
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Add and Subtract Fractions (with like and unlike denominators) Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers)
 * Smartboard Lessons, Promethean Lessons **
 * AEGOM Lesson G5M008 **

Equivalent Fractions Use models, points of reference and equivalent forms to judge the size of fractions. Round fractions to the nearest half.
 * AEGOM Lesson G5M007 **

Fractions Part 3: Adding and Subtracting [] This lesson activity provides practice in adding and subtracting fractions with different denominators.

Adding and Subtracting Mixed Numbers [] Students will find common denominators when necessary, add and subtract fractions and whole numbers, then write the answer in the simplest form.

Equivalent Fractions [] Introduces concept of equivalent fractions, how to use multiplication and division to generate equivalent fractions, and how to use this to add and subtract fractions with unlike denominators.

Adding fractions with unlike denominators [] Students will learn how to form common denominators and then add the fractions together.

Adding and Subtracting Fractions with Unlike Denominators [] Instruction and practice on adding and subtracting fractions with unlike denominators.

Adding Fractions with Unlike Denominators [] This lesson provides interactive activities to use in small group or whole group instruction on adding fractions with unlike denominators.

Math Mixed Numbers Addition and Subtraction (Regrouping) [] This lesson was created for students to manipulate fraction circles in order to add and subtract mixed numbers with uncommon denominators and then to regroup to get answers.

Least Common Denominator [] Finding the least common denominator in order to add and subtract fractions

HOW TO ADD AND SUBTRACT MIXED NUMBERS [] GRAPHIC VISUAL DEPICTION OF TWO METHODS OF ADDING AND SUBTRACTING MIXED NUMBERS WITH COMMON AND UNCOMMON DENOMINATORS. DOES NOT INCLUDE RE-GROUPING. LAST PAGE HAS 4 PRACTICE PROBLEMS FOR A TOTAL OF 24 PAGES.

Adding Mixed Numbers Unlike Denominators [] Adding mixed numbers with unlike denominators.

Adding Like Fractions [] Beginning adding like fractions with no simplifying

Adding Fractions [] This Math lesson is focused on working with adding fractions within word problems. The lesson is ideally presented in dual page with "yellow" page being pinned in place until word problem is completed. There are 3 word problems in total, advancing with difficulty through the lesson. The lesson is designed for student interactive use and answers are hidden throughout the lesson.

Add and subtract fractions with like denominators [] students learn how to add and subtract fractions with like denominators

Intro Adding Unlike Denominators [] Introduction to adding fractions with unlike denominators.


 * Other Activities, etc. **
 * **List**

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