Lowndes County Public Schools

Teacher: Sacouya Robertson Date: August 22nd -26th , 2016 Subject: 8th Grade Math Block: Periods 2/3

Alabama COS: standards Unit 1:Strategies For Exponents Domain 1:The Number System & Expressions and Equations

Lesson 1:Rational and Irrational Numbers (8.NS.1, 8.NS.2, 8.EE.2)

Standards

Know that there are numbers that are not rational, and approximate them by rational numbers.

CCSS.MATH.CONTENT.8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

CCSS.MATH.CONTENT.8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

CCSS.MATH.CONTENT.8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the formx2 = 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.

ACTIVATING LEARNING STRATEGY: COGNITIVE TEACHING STRATEGIES:

KWL Word Splash Anticipation Guide Lecture Graphic Organizer/VLT Poem, Rhymes, etc. Survey Possible Sentence Think-Pair-Share Reading Pictograph Acronyms/Word Writing First Word Concept Map Vocabulary Overview Model Diagram Other: ______Daily Language Practice Word Map Frayer Model (DLP)______Hands-on Mind Map/Visual Guide

Engagement Strategies: - Collaborative Group Work - Writing to Learn - Literacy Groups TWIRL - Questioning Techniques - Scaffolding Text -Classroom Talk Other:______

Technology Integration: Smart board Document Camera IPADS Mac Books Computers Kindles Interactive Tablets Digital/ Video Camera Clickers ACCESS Computer Program:______Other:______

This Week’s Vocabulary: Rational Number, Irrational Number, Natural Number, Whole Number, Integer, Repeating Decimal, Terminating Decimal, Perfect Square, Perfect Cube, Square Root, Cube Root, Exponent, Base, Factor

PROCEDURAL CONTENT (application) Monday Tuesday Wednesday Thursday Friday How can you find the values How can you find the values What do I need to know that How can you find the values Essential of rational and of rational and will empower me to be of rational and irrational Question irrational numbers? irrational numbers? successful this year? numbers?

Students will: Students will: Students will: Students will: Objective(s) *Know that numbers that are *Know that numbers that are *Know that numbers that are *Know that numbers that not rational are called not rational are called not rational are called are not rational are called irrational. Understand irrational. Understand irrational. Understand irrational. Understand informally that every number informally that every number informally that every number informally that every has a decimal expansion; for has a decimal expansion; for has a decimal expansion; for number has a decimal rational numbers show that rational numbers show that rational numbers show that expansion; for rational the decimal expansion repeats the decimal expansion the decimal expansion numbers show that the eventually, and convert a repeats eventually, and repeats eventually, and decimal expansion repeats decimal expansion which convert a decimal expansion convert a decimal expansion eventually, and convert a repeats eventually into a which repeats eventually into which repeats eventually into decimal expansion which rational number. a rational number. a rational number. repeats eventually into a *Use rational approximations *Use rational approximations *Use rational approximations rational number. of irrational numbers to of irrational numbers to of irrational numbers to *Use rational compare the size of irrational compare the size of irrational compare the size of irrational approximations of irrational numbers, locate them numbers, locate them numbers, locate them numbers to compare the size approximately on a number approximately on a number approximately on a number of irrational numbers, locate line, and estimate the value of line, and estimate the value line, and estimate the value them approximately on a expressions. of expressions. of expressions. number line, and estimate *Use square root and cube *Use square root and cube *Use square root and cube the value of expressions. root symbols to represent root symbols to represent root symbols to represent *Use square root and cube solutions to equations of the solutions to equations of the solutions to equations of the root symbols to represent form x squared=p and x form x squared=p and x form x squared=p and x solutions to equations of the cubed=p where p is a positive cubed=p where p is a positive cubed=p where p is a positive form x squared=p and x rational number. Evaluate rational number. Evaluate rational number. Evaluate cubed=p where p is a square roots of small perfect square roots of small perfect square roots of small perfect positive rational number. cubes. Know that the square cubes. Know that the square cubes. Know that the square Evaluate square roots of root of 2 is irrational. root of 2 is irrational. root of 2 is irrational. small perfect cubes. Know that the square root of 2 is irrational. Bell Ringer: Adding and Bell Ringer: Adding and Bell Ringer: Adding and Bell Ringer: Adding and Preview Subtracting Subtracting Subtracting Subtracting (Before) Integers/Multiplication Facts Integers/Multiplication Facts Integers/Multiplication Facts Integers/Multiplication Facts Turn and Talk: Students Think-Pair-Share: Students Writing to learn: Students Basic Skills Assessment will turn and talk and discuss will provide an example and will discuss the differences how to convert fractions to discuss how to use inverse between a perfect square and Vocabulary Overview: decimals. They will also operations to solve equations. perfect cube. They will also Frayer Model discuss the process of discuss the differences converting repeating decimals Vocabulary Overview: between square and cube to fractions. Frayer Model roots.

Vocabulary Overview: Vocabulary Overview: Frayer Model Frayer Model

MODEL (Review): MODEL (Review): MODEL (Review): Basic Skills Assessment Instruction -Review Rational Numbers -Review Rational Numbers -Review Rational Numbers (During) and Classification/Converting and Classification/Converting and Classification/Converting Notebook Check Include small between Fractions and between Fractions and between Fractions and group plans Decimals/Perfect Squares & Decimals/Perfect Squares & Decimals/Perfect Squares & Global Scholar Cubes/Square Roots & Cubes/Square Roots & Cubes/Square Roots & Assessment: Estimation Estimation Estimation 8.NS.1/8.NS.2/8.EE.1

GUIDED: GUIDED: GUIDED: Begin Frayer Model -Students will be guided -Students will be guided -Students will be guided (vocabulary) for next lesson through practice problems through practice problems through practice problems

Turn and Talk Think-Pair-Share Turn and Talk

INDEPENDENT: Students INDEPENDENT: Students INDEPENDENT: Students will complete problems on will complete problems on will complete problems on their own. their own. their own.

Collaborative Work: Begin Collaborative Work: Collaborative Work: Classifying Rational and Students will continue Students will finish Irrational Numbers Classifying Rational and Classifying Rational and Performance Task!!!! Irrational Numbers Irrational Numbers Performance Task!!!! Performance Task!!!!

Content Quiz: 8.NS.1- 2/8.EE.2 Teacher Teacher Teacher Teacher Questions/Summary Questions/Summary Questions/Summary Questions/Summary (After)

Extension/ Refining Homework

Assessment (formal or informal): class work notebook homework quizzes tests computer activities collaborative work project based Other:___

Summarizing: 3-2-1 Ticket out the Door The Important Thing Cue Cards Teacher Questions Student Summary Other:______