5.4.4Ma


 * Grade: 5 Unit: 4 Week 4 Content: Math CC.5.NF.2 and 5.NF.3 **
 * Dates: 1/14-18 **


 * Theme Essential Question: **


 * Essential Questions: **

How can you solve word problems involving addition and subtraction of fractions with unlike denominators?
 * NF.2 **

How does a fraction represent division? When solving a division problem, when do you write the remainder as a fraction?
 * NF.3 **


 * Standards **

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 to estimate mentally and assess the reasonableness of answers. || For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. || ||
 * 5.NF.2 **
 * Solve word problems involving addition and subtraction of fractions referring to the same whole,


 * 5.NF.3 **

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?) ||
 * Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word


 * Objectives: **

Use models to add fractions with unlike denominators. Use models to subtract fractions with unlike denominators. Make reasonable estimates of fraction sums and differences. Solve problems using the strategy //work backward.//
 * NF.2 **
 * NF.3 **

Solve division problems and decide when to write a remainder as a fraction. Interpret a fraction as division and solve whole-number division problems that result in a fraction or mixed number.


 * Assessment: **
 * Product: **


 * ** Product **
 * * TSW interpret word problems by using strategies (e.g., highlight key information, draw a picture).
 * TSW set up an equation to represent the problem.
 * TSW add or subtract fractions with unlike denominators.
 * TSW add and subtract fractions and mixed fractions with unlike denominators.
 * TSW represent fractions with models including set models, area models, and linear models.
 * TSW solve division problems and decide when to write the remainder as a fraction.
 * TSW understand that the fraction a/b = a ÷ b.
 * TSW understand problem-solving strategies involving fractions.
 * TSW understand that a quotient may be a whole number, mixed number, or a fraction.
 * TSW write a word problem to show that 3/4 is a division problem and be able to draw a model to illustrate understanding.
 * TSW write a word problem with a fraction less than 1 used as a division problem and be able to draw a model to illustrate understanding.
 * TSW write a word problem with a fraction greater than 1 used as a division problem and be able to draw a model to illustrate understanding. ||




 * ** Key Questions (match Standard) **


 * NF.2 **


 * How can you solve word problems involving addition and subtraction of fractions with unlike denominators?


 * NF.3 **


 * How does a fraction represent division?
 * When solving a division problem, when do you write the remainder as a fraction?


 * ** Observable Student Behaviors (Performance) **


 * TSW rewrite division expressions as fractions.
 * TSW solve story problems with remainders written as a fraction.
 * TSW determine between which two whole numbers a fraction lies.
 * TSW use concrete and pictorial models to show fractions represented by whole number division.
 * TSW divide whole numbers where quotients have a remainder.


 * * ** Mathematical Practices **
 * Make sense of problems and persevere in solving them.
 * Reason abstractly and quantitatively.
 * 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.
 * Look for and express regularity in repeated reasoning. ||

Benchmark fractions Sum Difference Numerator Denominator Fair sharing
 * Vocabulary **

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

Odyssey: Add/Subtract Fraction Word Problems

Houghton Mifflin Harcourt On Core Mathematics- Lesson 58, 59, 60, and 61, TE Pages 61-64,Student Pages 115-122. Houghton Mifflin Harcourt On Core Mathematics- Lessons 62 and 63, TE pages 65 and 66, Student Pages 123-126.
 * NF.2 **
 * NF.3 **

Odyssey Lessons – 5th grade Math – Addition and Subtraction of Fractions - MA54210, MA54211, MA54212, MA54213, and MA54214

Math Investigations 2012 – For addition and subtraction of fractions Unit 4 - 3.3, 3.6,3.7,3.8,3.9,3.10

For division of fractions – Unit 6 – 1.7, 1.8, 1.9, and 1.10.

Harcourt Math Arkansas Edition 5th Grade – Chapter 19 – TE page 406, 407, Lesson 3. Student Practice Book 19.3 and Problem Solving Book 19.3.


 * 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

************************************************************************************************************
 * Resources **
 * Professional Texts **

Developing Understanding To the Division Algorithm With Fractions, Elementary and Middle

School Mathematics, Teaching Developmentally, Third Edition; John A. Van de Walle, pages 269- 273


 * Literary Texts **

// The Village of Round and Square Houses //, by Ann Grifalconi // A Fraction's Goal: //// Parts of a Whole // by [|Brian P. Cleary] // [|Fraction fun]  // by David A. Adler


 * Informational Texts **

// 8 Step Model Drawing: Singapore’s Best Problem-Solving Math Strategies // by Bob Hogan and Char Forsten


 * Art, Music, and Media **

Fractions in art website []

Teaching Fractions through Art website []

[|www.math-play.com/math-**fractions**-**games**.html]
 * Games: **


 * Manipulatives **

[] [] []

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 **

[]

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.

Mixed Numbers: All Mixed Up [] Convert between mixed numbers and improper fractions using models and math.

Improper fractions to Mixed Numbers [] Practice in converting a fraction into a mixed number

Fractions, Percents, & Decimals and their uses [] A review of what fractions, percents, and decimals are and how they are used in everyday life

Everyday Math - Grade 5 - Unit 5 - Lesson 3 [] Comparing and Ordering Fractions. Review equivalent fractions; and to provide experience with comparing and ordering fractions.

Finding a Fraction of a Whole Number [] Students will investigate two methods by which to find parts of a whole.

Everyday Math - Grade 5 - Unit 5 - Lesson 2 [] Mixed Numbers. Review the whole; and to provide experience with mixed-number and improper fraction concepts.

Everyday Math - Grade 5 - Unit 5 - Lesson 4 [] Two Rules for Finding Equivalent Fractions. Introduce multiplication and division rules for finding equivalent fractions.

Everyday Math - Grade 5 - Unit 5 - Lesson 7 [] Fractions and Decimals: Part 3. Use a calculator to find decimal equivalents for fractions.

Fraction Review [] This is reviewing fraction terminology and finding equivalent fractions


 * Other Activities, etc. **

__ [] __

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