Download Sixth Grade Math - Wichita Falls ISD

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
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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
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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
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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
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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.
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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
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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.
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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
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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
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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
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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
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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/
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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•
Textbook Correlations:
MATH course 1 Volume 1
Lone STAAR Rigorous Problem Solving
Notes from Council
• New to 6th grade.
Misconceptions/Underdeveloped Concepts
Lesson 8
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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
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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