4.6.3Ma


 * Grade: 4 Unit: 6 Week: 3 Content:Math – Fractions (Wk9)Dates: April 22 – April 26 **


 * Theme Essential Question **** : How can I use fractions and decimals to solve real world problems? **


 * Essential Questions: **
 * o How can I multiply a fraction by a whole number to solve a problem?
 * o How can I use a visual model and an equation to represent a/b as the product of a x 1/b?
 * o How can I write a fraction as a product of a whole number and a unit fraction?
 * o How can I use visual models and/or an equation to show that a multiple of a/b (where a > 1) is also a multiple of 1/b?


 * Standards **
 * ** 4.NF.4a ** Apply and extend previous understanding of multiplication to multiply a fraction by a whole number. Understand a fraction a/b as a multiple of 1/b. //For example, use a visual fraction model to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4).//
 * ** 4.NF.4b ** Apply and extend previous understanding of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. //For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. In general, n x (a/b) = (n x a)/b.//
 * ** 4.NF.4c ** Apply and extend previous understanding of multiplication to multiply a fraction by a whole number. Solveword problems involving multiplication of afraction by a whole number, e.g., by using visual fraction models and equations to represent a problem. //For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?//


 * Objectives **
 * I can write a fraction as a product of a whole number and a unit fraction.
 * o I can multiply a fraction by a whole number to solve a problem.
 * o I can use a visual model and an equation to represent a/b as the product of a x 1/b.
 * o I can write a fraction as a product of a whole number and a unit fraction.
 * o I can use visual models and/or an equation to show that a multiple of a/b (where a> 1) is also a multiple of 1/b.


 * Assessment **
 * Product
 * o Investigations C41: Students solve 2 problems involving multiplication of a fraction by a whole number and show their solution strategy: (1) [Student name] bought 30 apples. 3/5 of them are green. How many apples are green? (2) 5 x 2/3 = ______


 * Key Questions (match Standard)
 * o Can the student multiply a fraction by a whole number to solve a problem?
 * o Can the student use a visual model and an equation to represent a/b as the product of a x 1/b?
 * o Can the student write a fraction as a product of a whole number and a unit fraction?
 * o Can the student use visual models and/or an equation to show that a multiple of a/b (where a > 1) is also a multiple of 1/b?


 * Observable Student Behaviors (Performance)
 * o Student uses visual models such as a number line or picture as he multiplies a whole number by a fraction.
 * o Student is able to write an equation for a problem involving multiplication of a whole number by a fraction.
 * o Student can decide whether his answer to problems is reasonable through his explanation.
 * o Student can express a fraction as a mixed number or whole number or as an improper fraction.


 * ** 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. ||

Word problems Distance Intervals of time Liquid volumes Mass Money Fractions Decimals Problems Measurement Unit Diagrams Number line Measurement scale Customary units Multiplication Whole number Fraction model Equation Mixed number Multiple ||
 * Vocabulary **
 * ** Math ** ||
 * Operations

These lessons focus on multiplying a whole number and a fraction; using visual models to solve word problems involving multiplication of a whole number and a fraction.
 * Suggested Activities **
 * __ Math Investigations __** : Unit 6-__Fraction Cards and Decimal Squares (__Sessions 3A1-3A3)


 * __ On-Core Mathematics __**** pgs. 68-72 **


 * 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 || || Lesson Plan in Word Format (Click Cancel if asked to Log In)
 * ||  ** Multicultural Concepts **


 * Resources **
 * __ Professional Texts __**


 * Literary Texts **


 * Informational Texts **


 * Art, Music, and Media **


 * Manipulatives **
 * Library of Virtual Manipulatives []
 * Fraction Circles
 * Fraction Tiles
 * Two Color Counters


 * Games **


 * Videos **


 * Sight Words **

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

Equivalent Fractions Use models and points of reference to find equivalent fractions.
 * AEGOM Lesson **** G4M012 **

Fractions and Mixed Numbers Use and explain models to relate whole numbers and fractions.
 * AEGOM Lesson **** G4M013 **

Multiplying Mixed Numbers Multiply a mixed number by a mixed number; multiply a whole number by a mixed number. Apply to solve contextual problems.
 * AEGOM Lesson **** G6M008 **

[]


 * Other Activities, etc. **


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