8.2.2Ma


 * Grade: 8 Unit: 2Week: 2 Dates: 10/8-10/12 **
 * Content: Square Roots and Cube Roots **


 * Theme Essential Question: **
 * How do the nature of expressions and the number system portray mathematics as a science of structure? **

How do you geometrically apply and algebraically evaluate square roots and cube roots?
 * Essential Questions: **


 * Standards **
 * ** 8.EE.2. ** Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.


 * Objectives **
 * The student will evaluate expressions and solve equations of perfect squares and cube roots.
 * The student will apply the concepts of square and cube roots to real world word problems.

We have introduced five of the eight Mathematical Practices. During this lesson on square roots and cube roots, they will have an impact on the lessons. In order to influence your students, we recommend that you spend some time reviewing the practices and reflecting on your approach to implement the practices: Mathematical Practice #2 Reason abstractly and quantitatively Mathematical Practice #3 Construct viable arguments and critique the reasoning of others Mathematical Practice #6 Attend to precision Mathematical Practice #7 Look for and make use of structure Mathematical Practice #8 Look for and express regularity in repeated reasoning Note: The team anticipates this unit should only take a few days. You will need additional time to complete lesson 2-3 with the Problem Solving Connections and test prep for Unit 1 in the OnCore workbook (pages 27 – 32).
 * Reflections and/or Comments from your PCSSD 8th Grade Curriculum Team **

[|**http://www.azed.gov/wp-content/uploads/PDF/MathGr8.pdf**] Provide practical opportunities for students to flexibly move between forms of squared and cubed numbers. For example, If 32 = 9 then Ö 9 = 3. This flexibility should be experienced symbolically and verbally.
 * Background Information **
 * Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials. **
 * (Taken from [|Ohio Dept of Education Mathematics Model Curriculum 6-28-2011] ) **


 * Assessment **
 * Products **
 * Show Trailer and discuss with students project.
 * Unit Project: “Moving Cites, Save your people!”
 * Movie trailer for “The Day After Tomorrow”
 * @http://movies.yahoo.com/movie/the-day-after-tomorrow/


 * Key Questions **
 * How would you define a perfect square and cube root?
 * How do you evaluate equations of the form x2 = p and x3 = p, where p is a positive rational number.
 * How would you use perfect square and cube roots?


 * Observable Student Behaviors **
 * Students understand the geometric and algebraic representation of square and cube roots.
 * Students can perform operations with square and cube roots.

1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * ** Mathematical Practices **

Square root, cube root, principal square root, perfect square, perfect cube
 * Vocabulary **

Note: Cube roots are not in the traditional textbooks and must be externally supplemented On Core Math Unit 1-4, p.15-18 ABC Mastering the Common Core in Mathematics Chapter 3-1 through 3-4, p.21-23 __ Teaching the Common Core Math Standards with Hands-On Activities __ by Judith Muschla 8.EE.2- p. 161 JBHM, Unit 1, p.39-74 Glencoe, PreAlgebra, Chapter 9, p.436-440 Glencoe, Algebra I, Chapter 2, p 103-109 Highly Recommended: Nothing Available at this Time- Please see website for updates (EE.2) The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.
 * Suggested Activities ** [see Legend to highlight MCO and HYS]

Odyssey (teacher discretion) Skills Tutor (teacher discretion) Algebra’scool: Unit A Module 1.4
 * Diverse Learners **

[] to print assignments on variety of topics See appropriate Glencoe, OnCore, JBHM, and ABC materials [|Simplifying Radicals Practice] website has step by step how to simplify a square root
 * Homework **

Refer to the Mathematical Practices
 * 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 **


 * Professional Texts **


 * Literary Texts **

See New York Common Core Aligned Task (other resources) []
 * Informational Texts **


 * Art, Music, and Media **


 * Manipulatives **
 * [] ** National Library of Virtual Manipulatives

[|www.sumdog.com]
 * Games **

Discovery Learning []
 * Videos **

[|Smartboard Resource Website] SMART Board lesson search engine
 * SMART Board Lessons, Promethean Lessons **

[] PARCC Online (released items) [] Online tutorials [] TLI Quiz Builder
 * Websites **


 * Other Activities, etc. **

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