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Wichita falls ISD Sixth Grade Math Chapter 7 Chapter 7: Algebraic Expressions Lessons: 1-8 Time Frame: 13 days Revised TEKS Check- Before the Chapter Reteach/review GAP Alerts from last school year. Are You Ready? Review/Check pg.496 • Review adding & subtracting fractions and mixed numbers with unlike denominators. • Multiplication. 6.3E 5.3K TEKS Lesson 1: Powers and Exponents Objectives Skills: The student will be able to… • Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization. TEKS Readiness: 6.7A Supporting: NONE Process Skills: 6.1A, 6.1B, 6.1F ELPS: 4C, 1D, 4F • • • Performance Indicators By the end of the lesson the student will be able to… Generate equivalent numerical expressions involving powers and exponents. Lesson Information Activities Textbook pg. 499-510 **7th GRADE Lone STAAR Rigorous Problem Solving Sets: 7, 30, 53, 76, 99, 122 Extra Practice/ Games / Videos • Exponential Bingo • • • • • Vocabulary Base Equivalent Expressions Exponent Perfect Square Powers Gap Vocabulary • Base number • Exponent • Exponential Form • Standard Form Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 1 revised 12/19/14 • • • • • • • • • • Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series, books 1 & 2 Worksheets provided PowerPoints provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list • • Textbook Correlations: MATH course 1 Volume 1 Lone STAAR Rigorous Problem Solving Notes from Council • Exponents will be used with Prime Factorization and Exponents can be used with Order of Operations (NEW this year). Exponents will also be used with some area/ volume formulas. Misconceptions/Underdeveloped Concepts Lesson 1 • Watch for students who find the value of powers by multiplying the base and the exponent. Suggest to students that they first write the power as a product of the same factor, and then find the value. • Some students may try to multiply the base number and the exponent. 32 ≠ 6 32 = 9 Lesson 2: Prime Factorization Objectives Skills: The student will be able to… • Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization. TEKS Readiness: 6.7A Supporting: NONE Process Skills: 6.1A, 6.1B, 6.1F ELPS: 4C, 1D, 4F • • • • Performance Indicators By the end of the lesson the student will be able to… Generate equivalent numerical expressions involving prime factorization. Lesson Information Activities Textbook pg. 511-518 Lone STAAR Rigorous Problem Solving Sets: 8, 28, 48, 68, 88, 108 **7th GRADE Lone STAAR Rigorous Problem Solving Sets: 7, 30, 53, 76, 99, 122 Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. • • • • Vocabulary Prime Factorization Composite Number Prime Numbers Factor Tree 2 revised 12/19/14 Extra Practice/ Games / Videos • Game: I Have Who Has Prime Factorization On-line Games & Practice • http://mrnussbaum.com/forest/ • http://learnzillion.com/lessons/88-simplify-fractions-using-the-greatest-commonfactor • http://www.youtube.com/watch?v=cRz4hW9SPPc • • • • • • • • • • Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving, grds 6 & 7 Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series, books 1 & 2 Worksheets provided PowerPoints provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list Gap Vocabulary • Factors • Exponents Textbook Correlations: • MATH course 1 Volume 1 • Lone STAAR Rigorous Problem Solving Notes from Council • Insist that the students check their prime factorization by multiplying the equations. • 5th grade introduces factor pairs and multiples. • Prime factorization with exponents is a new concept in 6th grade. Misconceptions/Underdeveloped Concepts Lesson 2 • Watch for students who include composite numbers in the prime factorization. Suggest to students that they keep a list of the first several prime numbers. • Some students may try to add the factors instead of multiplying. o Example: 3 • 3 ≠ 6 Lesson 3: Order of Operations Objectives Skills: The student will be able to… • Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization. TEKS Readiness: 6.7A Supporting: NONE Process Skills: 6.1A, 6.1B, 6.1F ELPS: 4C, 1D, 4F • Performance Indicators By the end of the lesson the student will be able to… Generate equivalent numerical expressions involving order of operations. Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 3 revised 12/19/14 • • • Lesson Information Activities Textbook pg. 519-526 Lone STAAR Rigorous Problem Solving Sets: 8, 28, 48, 68, 88, 108 **7th GRADE Lone STAAR Rigorous Problem Solving Sets: 7, 30, 53, 76, 99, 122 • • Extra Practice/ Games / Videos • PowerPoints • Game - Order of Operation Bingo Extra Videos & Presentations • http://learnzillion.com/lessons/463-evaluate-a-numerical-expression-using-orderof-operations • http://www.youtube.com/watch?v=-jflJKmsAEc • http://rhymenlearn.com/math-rap/pemdas/ Vocabulary Numerical Expression Order of Operations GAP Vocabulary • Order of Operations (PEMDAS) • Parenthesis • Evaluate • Exponent • Addition • Subtraction • Multiplication • Division On-line Games & Practice • http://mrnussbaum.com/orderops/ • • • • • • • • • • Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving, grds 6 & 7 Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series books 1 & 2 Worksheets provided PowerPoints provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list • • Textbook Correlations: MATH course 1 Volume 1 Lone STAAR Rigorous Problem Solving Notes from Council • Order of Operations with exponents will be tested on STAAR this year. Misconceptions/Underdeveloped Concepts Lesson 3 • Watch for students who think that you must perform operations in an expression in the order in which they appear. You may want to suggest to students that when they first read a problem, they underline or circle the multiplication and division to remind them when to perform those operations. • Students will – o want to work expressions from left to right and not use the rules. o not recognize that multiplication & division have the same priority, and the same of addition & subtraction. o will still struggle with evaluating exponents. Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 4 revised 12/19/14 Lesson 4: Algebraic Expressions Objectives Skills: The student will be able to… • Generate equivalent expressions using the properties of operations such as the inverse, identity, commutative, associative, and distributive properties. TEKS Readiness: 6.7D Supporting: NONE Process Skills: 6.1A, 6.1B, 6.1F, 6.1G ELPS: 4C, 1D, 4F • • • Performance Indicators By the end of the lesson the student will be able to… Evaluate algebraic expressions. Lesson Information Activities Textbook pg. 527-534 Lone STAAR Rigorous Problem Solving Sets: 3, 23, 43, 63, 83, 103 • • • Vocabulary Algebra Algebraic Expression Evaluate Extra Practice/ Games / Videos • KAMICO Developmental Series Book 1, “Writing Equations” pg. 186 • KAMICO Developmental Series Book 1, “The Wizard of Math” pg. 216-220 • KAMICO Developmental Series Book 2, “Confetti Concentration” Pg. 225-234 • 5th Grade KAMICO Developmental Series Book 2, “Ironman Math” pg. 275-296 Extra Videos & Presentations o commutative associative properties adding https://www.youtube.com/watch?v=O4__F4iX6rc#t=77 o commutative property of multiplication https://www.youtube.com/watch?v=rXXrzaDaETI • • • • • • • • • • Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series grds 5 & 6 Worksheets provided PowerPoints provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 • • Textbook Correlations: MATH course 1 Volume 1 Lone STAAR Rigorous Problem Solving Notes from Council • Students need to gain from this lesson that a number is an even number because it is divisible by 2 not just that it ends in a 0, 2, 4, 6, or 8. The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 5 revised 12/19/14 Misconceptions/Underdeveloped Concepts Lesson 4 • In Exercises 1–8, students may forget to apply the order of operations. Remind them to multiply before adding or subtracting. Lesson 5: Write Algebraic Expressions Objectives Skills: The student will be able to… • Write one-variable, one-step equations and inequalities to represent constraints or conditions within problems. TEKS Readiness: NONE Supporting: 6.9A Process Skills: 6.1 A,B,F,G ELPS: 4C, 1D, 4F • • • Performance Indicators By the end of the lesson the student will be able to… Write algebraic expressions to represent constraints or conditions within problems. Lesson Information Activities Textbook pg. 535-550 Lone STAAR Rigorous Problem Solving Sets: 3, 23, 43, 63, 83, 103 • Vocabulary Defining the Variable Extra Practice/ Games / Videos • KAMICO Developmental Series Book 1, “Writing Equations” pg. 186 • KAMICO Developmental Series Book 1, “The Wizard of Math” pg. 216-220 • KAMICO Developmental Series Book 2, “Confetti Concentration” Pg. 225-234 • 5th Grade KAMICO Developmental Series Book 2, “Ironman Math” pg. 275-296 • • • • • • • • • • Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series grds 5 & 6 Worksheets Provided PowerPoints Provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 • • Textbook Correlations: MATH course 1 Volume 1 Lone STAAR Rigorous Problem Solving Notes from Council • Students need to gain from this lesson that a number is an even number because it is divisible by 2 not just that it ends in a 0, 2, 4, 6, or 8. The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 6 revised 12/19/14 Misconceptions/Underdeveloped Concepts Lesson 5 • In Exercise 10, Elisa correctly determined the operation but confused the order of the terms. Remind students to analyze the wording of problems carefully. Lesson 6: Properties Objectives Skills: The student will be able to… • Generate equivalent expressions using the properties of operations such as the inverse, identity, commutative, associative, and distributive properties. TEKS Readiness: 6.7D Supporting: NONE Process Skills: 6.1 A,B,F,G ELPS: 4C, 1D, 1C, 4F • • • • • • • • • • • • Performance Indicators By the end of the lesson the student will be able to… Generate equivalent expressions using properties of operations. Lesson Information Activities Textbook pg. 551-558 Lone STAAR Rigorous Problem Solving Sets: NONE Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series Powerpoints Provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 • • • • • • • Vocabulary Properties Associative Properties Commutative Properties Identity Properties Inverse Properties Textbook Correlations: MATH course 1 Volume 1 Lone STAAR Rigorous Problem Solving Notes from Council • New to 6th Grade: Students have not really been exposed to the names of the properties. So they might confuse the names of the properties even though they understand the concept. The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 7 revised 12/19/14 Misconceptions/Underdeveloped Concepts Lesson 6 • Students may confuse the Identity Property of Addition and the Identity Property of Multiplication. Remind students that the sum of an addend and 0 is the addend and the product of a factor and 1 is the factor. Lesson 7: The Distributive Property Objectives Skills: The student will be able to… • Generate equivalent expressions using the properties of operations such as the inverse, identity, commutative, associative, and distributive properties. • Determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations TEKS Readiness: 6.7D Supporting: 6.7C Process Skills: 6.1A, 6.1B, 6.1F, 6.1G ELPS: 4C, 1D, 4F • • • • • • • • • • • • • Performance Indicators By the end of the lesson the student will be able to… Generate equivalent numerical expressions using distributive property. Lesson Information Activities Textbook pg. 559-566 Lone STAAR Rigorous Problem Solving Sets: NONE Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series Worksheets provided PowerPoints provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 • • Vocabulary Distributive Property Factor the Expression Textbook Correlations: • MATH course 1 Volume 1 • Lone STAAR Rigorous Problem Solving Notes from Council • New to 6th grade. The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 8 revised 12/19/14 Misconceptions/Underdeveloped Concepts Lesson 7 • Watch for students who do not multiply each addend by the number outside the parentheses when using the Distributive Property. Suggest to students that they draw arrows from the number outside the parentheses to each addend. Lesson 8: Simplify Expressions Objectives Skills: The student will be able to… • Generate equivalent expressions using the properties of operations such as the inverse, identity, commutative, associative, and distributive properties. TEKS Readiness: 6.7D Supporting: NONE Process Skills: 6.1A, 6.1B, 6.1F, 6.1G ELPS: 4C, 1D, 4F • • • Performance Indicators By the end of the lesson the student will be able to… Generate equivalent expressions by simplifying. Lesson Information Activities Textbook pg. 567-576 Lone STAAR Rigorous Problem Solving Sets: NONE Extra Practice/ Games / Videos • KAMICO Developmental Series Book 1, “Writing Equations” pg. 186 • KAMICO Developmental Series Book 1, “The Wizard of Math” pg. 216-220 • KAMICO Developmental Series Book 2, “Confetti Concentration” Pg. 225-234 • 5th Grade KAMICO Developmental Series Book 2, “Ironman Math” pg. 275-296 • • • • Vocabulary Coefficient Term Constant Like Terms Extra Videos & Presentations • combine like terms video http://www.youtube.com/watch?v=PVOq3FffbtA • solving equations video http://www.youtube.com/watch?v=oIxxqztQz3Y • Understanding algebra vocab for dummies video http://www.youtube.com/watch?v=BHtE3JyZ-UQ Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 9 revised 12/19/14 • • • • • • • • • • Additional Information Materials/Resources Textbook- Math Course 1 Resources Lone STAAR Rigorous Problem Solving Dinah Zyke’s Big Book of Foldables KAMICO Developmental Series grds 5 & 6 Worksheets Provided Powerpoints Provided Web links that are provided for some lessons http://www.ixl.com/math/grade-6 http://www.math-aids.com/ Any resource from the approved list • • Textbook Correlations: MATH course 1 Volume 1 Lone STAAR Rigorous Problem Solving Notes from Council • New to 6th grade. Misconceptions/Underdeveloped Concepts Lesson 8 • Students may incorrectly combine like terms when the coefficient is 1. Remind students that x = 1x according to the Identity Property. You may wish to have students rewrite any terms that have a coefficient of 1. Parent Resources • • • • • • http://mathatube.com/ http://www.math-aids.com/ http://www.projectsharetexas.org/ http://www.khanacademy.org/ Teacher’s web pages Math textbook website- Course One Wichita Falls ISD (2014-2015) 6M Chapter 7, Lessons 1-8 The Mathematical Process Standards must be incorporated into instruction as appropriate throughout the school year. 10 revised 12/19/14