Grade 6 - 1st Nine Weeks

Note: The resources in this document are listed in order of importance from top to bottom. TEXTEAMS activities provide students with an experience that interweaves and encompasses a large number of TEKS. Should you choose another suggested activity in place of TEXTEAMS, be aware that these other activities may expose students to only one of the TEKS indicated, therefore eliminating the multi-faceted, interconnectedness of TEXTEAMS. Many of the additional listed activities provide reinforcement and extension of the concepts.

*denotes this TEXTEAMS unit has been referenced in at least one other grade level. Please check with the appropriate grade level team(s) to determine the depth of coverage.

1st Nine Weeks

Number, Operations and Quantitative Reasoning

TAKS 1, 2, 6

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Overview: The focus of the first nine weeks is to incorporate whole number review while exploring fraction concepts. An emphasis needs to be placed on using models to compare and order fractions, generating equivalent fractions and performing addition and subtraction of fractions.

Topics (in order):

Problem Solving
Prime and Composite Numbers
Factors and Divisibility
Prime Factorization
Common Factors and Multiples
Order of Operations
Equivalent Fractions
Compare and Order Fractions (Including Mixed Numbers)
Estimating Fraction Addition and Subtraction
Model Fraction Addition and Subtraction
Fraction Addition and Subtraction

Underlying processes: Use the district problem-solving model (6.11B) emphasizing work backwards, draw a picture and estimation (6.11C); Communicate mathematical ideas using language, appropriate units and physical models (6.12A); Use mental math, estimation, and number sense to solve problems (6.11D) and check solutions for reasonableness (6.11B). Mathematical applications and connections are made to every day experiences (6.11A).

Vocabulary (by topic):
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Prime & Composite Numbers	Common Factors & Multiples	Equivalent Fractions
Composite Number Factors Factor Tree Prime Number Prime Factorization	Common Factor Greatest Common Factor Common Multiple Least Common Multiple	Equivalent Fractions Improper Fractions Simplify Fractions Mixed Number
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Factors & Divisibility	Order of Operations	Comparing & Ordering Fractions
Divisibility Factors	Difference Expression Exponent Order of Operations Product Quotient Sum	Denominator Improper Fractions Least Common Denominator Mixed Number Numerator Proper Fraction

Topic		Resources
Problem Solving
TEKS 6.11C select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem. Working backwards Draw a picture 6.2D estimate and round to approximate reasonable results and to solve problems where exact answers are not required		*Prentice Hall* Section 5-10 *Prentice Hall* Section 6-6 *Mathematics Standards in the Classroom,* p. 21-22
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Topic		Resources
Prime and Composite Numbers
TEKS 6.1E identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers		Middle Grades Mathematics Project, *Factors and Multiples:* Activity 1 *Visual Math* Volume 1, Lesson 12 Math and the Mind’s Eye – Visualizing Number Concepts, Unit II, Activity 3 *Visual Math* Volume 1, Lesson 13 It is suggested to do Lesson 13A.1 as a whole group, giving students papers with the words "OPEN" and "CLOSED" to act out the problem. This can be done using solve a simpler problem, by changing the number of lockers to match the number of students in your class. Lesson 13B should be done as a small group activity
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Topic		Resources
Factors and Divisibility
TEKS 6.1E identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers Be sure to emphasize divisibility rules for 2, 3, 5, 9, 10		*Middle Grades Mathematics Project, Factors and Multiples:* Activities 2, 3
Topic		Resources
Exponents
TEKS 6.1D write prime factorizations using exponents		Prentice Hall Section 4-2
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Topic		Resources
Prime Factorization
TEKS 6.1D write prime factorizations using exponents		*Middle Grades Mathematics Project, Factors and Multiples:* Activity 4 *Mathematics Standards in the Classroom,* p.9-11 *Kamico TAKS Connection Developmental Series* Book 1, "Prime Dominoes", p. 31 – 39 *Prentice Hall* Section 5-2
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Topic		Resources
Common Factors and Multiples
TEKS 6.1E identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers 6.1F identify multiples of a positive integer and common multiples and the least common multiple of a set of positive integers		*Middle Grades Mathematics Project, Factors and Multiples:* Activities 5, 6 *Kamico TAKS Connection Developmental Series* Book 1, "Oh, is that a Factor?", p. 40-50 *Prentice Hall* Section 5-3 *Prentice Hall* Section 5-7 *Mathematics Standards in the Classroom,* p. 19-20
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Topic		Resources
Order of Operations
TEKS 6.2E use order of operations to simplify whole number expressions (without exponents) in problem solving situations 6.11C select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem. 6.13B validate conclusions using mathematical properties and relationships See TAKS 6 sample question on page 30 of the TAKS Information Booklet		*Prentice Hall* Section 2-3
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Topic		Resources
Equivalent Fractions
TEKS 6.1B generate equivalent forms of rational numbers including whole numbers, fractions and decimals 6.1A compare and order non-negative rational numbers 6.11D select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems 6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 6.12B evaluate the effectiveness of different representations to communicate ideas		**TEXTEAMS Numerical Reasoning:* Fraction Benchmarks Fraction Benchmarks Follow-up # 1 Fraction Benchmarks Follow-up # 2 *Lane County 6, p. 107 – 124 Fraction Bars Teacher’s Guide* p. 9 – 18 *Math and the Mind’s Eye* – Modeling Rationals, Unit IV, Activities 1, 3 *Visual Math* Volume 1, Lessons 50, 55B, 56B *Prentice Hall* Section 5-5 *Prentice Hall* Section 5-6
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Topic		Resources
Compare and Order Fractions (Including Mixed Numbers)
TEKS 6.1A compare and order non-negative rational numbers 6.1B generate equivalent forms of rational numbers including whole numbers, fractions and decimals 6.11D select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems 6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models		**TEXTEAMS Numerical Reasoning:* Order On Line Original Activity with Teacher Notes Mixed Number Cards I Mixed Number Cards II *SBISD Frameworks 6, p. F/D-30 through F/D-33 Fraction Bars Teacher’s Guide* p. 24 – 32 *Visual Math Volume 1, Lesson 62, 63 Prentice Hall* Section 5-8
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Topic		Resources
Estimating Fraction Addition and Subtraction
TEKS 6.2B use addition and subtraction to solve problems involving fractions and decimals 6.2D estimate and round to approximate reasonable results and to solve problems where exact answers are not required		*Prentice Hall* Section 6-1
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Topic		Resources
Model Fraction Addition and Subtraction Have students create problem situations to match the models
TEKS 6.2A model addition and subtraction situations involving fractions with objects, pictures, words, and numbers 6.5 formulate equations from problem situations described by linear relationships		*Fraction Bars Teacher’s Guide* p. 35 – 52 *Visual Math Volume I, Lessons 64 – 65 Math and the Mind’s Eye, Modeling Rationals, Unit IV, Activity 4 Kamico TAKS Connection Developmental Series* Book 1, “Going Up or Going Down”, p. 51-63 *Prentice Hall* Sections 6-2, 6-3
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Topic		Resources
Fraction Addition and Subtraction
TEKS 6.2B use addition and subtraction to solve problems involving fractions and decimals		Lane County 6, p. 69 – 72 *Mathematics Standards in the Classroom,* p. 17-18 *Prentice Hall*, Sections 6-2, 6-3, 6-4, 6-5
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