Mathematics - Algebra B

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Poyen School

Poyen School Curriculum K - 12 2007-2008

Mathematics - Algebra B

Printable Version

Data Interpretation and Probability | Language of Algebra | Non-Linear Functions | Solving Equations & Inequalities

Language of Algebra

Evaluate algebraic expressions
The learner will be able to evaluate algebraic expressions, including radicals, by applying the order of operations.

Strand	Bloom's	Scope	Hours	Source	Activities
Vocabulary,symbols, operations		Master	1.0	2004 Arkansas Mathematics Frameworks LA.1.AI.1	Classroom

Instructional Resources

·	Add to lesson, See Alg A page 1 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, Order of operations with radicals; lesson 12.1 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Order of operations with radicals; lesson 9.1 [Textbook].

Laws of integral exponents
The learner will be able to apply the laws of (integral) exponents.

Strand	Bloom's	Scope	Hours	Source	Activities
Vocabulary,symbols, operations		Master	1.0	2004 Arkansas Mathematics Frameworks LA.1.AI.3	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Lessons 8.1, 8.2, 8.4 [Textbook].
·	Activity, WS 43, 44, 45, 46 [Teaching Strategies].
·	Activity, Preclass 36, 183, 184, 182, 212, 214 [Teaching Strategies].

Scientific notation
The learner will be able to solve problems involving scientific notation.

Strand	Bloom's	Scope	Hours	Source	Activities
Vocabulary,symbols, operations		Master	1.0	2004 Arkansas Mathematics Frameworks LA.1.AI.4	Classroom

Instructional Resources

·	Add to lesson, See Alg A page 3 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, Lesson 8.5 [Textbook].

Polynomial operations
The learner will be able to perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives.

Strand	Bloom's	Scope	Hours	Source	Activities
Vocabulary,symbols, operations		Master	1.0	2004 Arkansas Mathematics Frameworks LA.1.AI.5	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Polynomial operations with manipulatives [Textbook]. page 567, 99, 583
·	Algebra I Concepts & Skills, McDougal Littell, Polynomial operations without manipulatives [Textbook]. Lessons 10.1, 10.2, 10.3
·	Activity, Preclass 96, 10, 229, 217, 181, 158, 136 [Teaching Strategies].

Simplify algebraic fractions: factor
The learner will be able to simplify algebraic fractions by factoring.

Strand	Bloom's	Scope	Hours	Source	Activities
Vocabulary,symbols, operations		Master	1.0	2004 Arkansas Mathematics Frameworks LA.1.AI.6	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Lesson 11.3 [Textbook].
·	Add to lesson, See Alg A page 4 [Teaching Strategies].

Radical expressions
The learner will be able to simplify radical expressions such as 3 divided by square root of 7. (rationalization of denominator) See 2004 Arkansas Mathematics Frameworks for symbolic representation.

Strand	Bloom's	Scope	Hours	Source	Activities
Vocabulary,symbols, operations		Master	1.0	2004 Arkansas Mathematics Frameworks LA.1.AI.8	Classroom

Instructional Resources

·	Activity, Preclass 201 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, lesson 12.2 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, lesson 9.3 [Textbook].

Operations with radicals
The learner will be able to add, subtract, multiply simple radica expressions. See 2004 Arkansas Mathematics Frameworks for specific examples.

Strand	Bloom's	Scope	Hours	Source	Activities
Vocabulary,symbols, operations		Master	1.0	2004 Arkansas Mathematics Frameworks LA.1.AI.9	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Lesson 12.2 [Textbook].

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Solving Equations & Inequalities

Systems of 2 linear equations
The learner will be able to solve systems of two linear equations 1. Numerically (from a table or guess and check) 2. Algebraically (including the use of manipulatives) 3. Graphically 4. Technologically.

Strand	Bloom's	Scope	Hours	Source	Activities
Equations, Inequalities, Systems of Eq.		Master	1.0	2004 Arkansas Mathematics Frameworks SEI.2.AI.2	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Chapter 7 [Textbook].
·	Add to lesson, See Alg A page 7 [Teaching Strategies].

Absolute value equations/inequalities
The learner will be able to solve and graph simple absolute value equations and inequalities See 2004 Arkansas Mathematics Frameworks for specific examples.

Strand	Bloom's	Scope	Hours	Source	Activities
Equations, Inequalities, Systems of Eq.		Master	1.0	2004 Arkansas Mathematics Frameworks SEI.2.AI.4	Classroom

Instructional Resources

·	Add to lesson, See Alg A page 9 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, Lessons 6.6, 6.7 [Textbook].

Real world problems
The learner will be able to communicate real world problems graphically, algebraically, numerically, and verbally.

Strand	Bloom's	Scope	Hours	Source	Activities
Equations, Inequalities, Systems of Eq.		Master	1.0	2004 Arkansas Mathematics Frameworks SEI.2.AI.8	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Lessons 1.6, 1.7 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Chapter 3 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, lessons 6.1, 6.2, 6.3 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, lessons 7.4 [Textbook].
·	Activity, See Alg A page 13 [Teaching Strategies].

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Non-Linear Functions

Factor polynomials
The learner will be able to factoring polynomials: 1. Greatest common factor 2. Binomials (difference of squares) 3. Trinomials.

Strand	Bloom's	Scope	Hours	Source	Activities
Properties of Function Families		Master	1.0	2004 Arkansas Mathematics Frameworks NLF.4.AI.1	Classroom

Instructional Resources

·	Activity, Preclass 165, 210, 237, 166 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, Lessons 10.5, 10.6, 10.7 [Textbook].

Min/max/vertex/zero
The learner will be able to determine the minimum, maximum, vertex, and zeroes, given the graph.

Strand	Bloom's	Scope	Hours	Source	Activities
Properties of Function Families		Master	1.0	2004 Arkansas Mathematics Frameworks NLF4.AI.2	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Page 518 & 519; activity [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, lesson 9.4 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, lesson 9.5; add vocabulary zeroes [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, page 532; graphing calculator [Textbook].

Solve quadratic equations
The learner will be able to solve quadratic equations using the appropriate methods with and without technology: 1. Factoring 2. Quadratic formula with real number solutions.

Strand	Bloom's	Scope	Hours	Source	Activities
Properties of Function Families		Master	1.0	2004 Arkansas Mathematics Frameworks NLF.4.AI.3	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Factoring; lessons 10.4, 10.5, 10.6, 10.7 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Quadratic formula; lesson 9.6 [Textbook].
·	Activity, open response101 [Teaching Strategies].
·	Activity, preclass 186, 206 [Teaching Strategies].

Function families: connections
The learner will be able to recognize function families and their connections including vertical shift and reflection over the x-axis: 1. Quadratics 2. Absolute Value 3. Exponential functions.

Strand	Bloom's	Scope	Hours	Source	Activities
Properties of Function Families		Master	1.0	2004 Arkansas Mathematics Frameworks NLF.4.AI.4	Classroom

Instructional Resources

·	Activity, WS 40 [Teaching Strategies]. Add translations
·	Activity, Ws 92, 93 [Teaching Strategies]. Add Translations
·	Activity, Open Response 75 [Teaching Strategies].
·	Activity, Preclass 224 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, Page 475; activity [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, lessons 8.6, 8.7 [Textbook].

Real world problems
The learner will be able to communicate real world problems graphically, algebraically, numerically and verbally.

Strand	Bloom's	Scope	Hours	Source	Activities
Properties of Function Families		Master	1.0	2004 Arkansas Mathematics Frameworks NLF.4.AI.5	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Lessons 8.6, 8.7 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Chapter 10 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Page 524 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Lesson 9.6 [Textbook].
·	Activity, Open Response [Teaching Strategies]. 73, 62, 77, 23, 61
·	Activity, Preclass 88, 89 [Teaching Strategies].

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Data Interpretation and Probability

Measures of central tendency
The learner will be able to determine the effects of changes in the data set on the measures of central tendency.

Strand	Bloom's	Scope	Hours	Source	Activities
Report data/make predictions		Master	1.0	2004 Arkansas Mathematics Frameworks DIP.5.AI.4	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Page 807; 28 - 32 [Textbook].
·	Activity, WS 82, 83, 84 [Teaching Strategies].
·	Activity, Open Response 84, 99, 40, 104, 107 [Teaching Strategies].
·	Activity, Preclass 12, 97, 175, 216, 200, 248, 217 [Teaching Strategies].

Box-and-whisker plots
The learner will be able to use two or more box-and-whisker plots to compare data sets.

Strand	Bloom's	Scope	Hours	Source	Activities
Report data/make predictions		Master	1.0	2004 Arkansas Mathematics Frameworks DIP.5.AI.5	Classroom

Instructional Resources

·	Add to lesson, See Alg A page 26 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, Pages 803 - 807 [Textbook].

Cumulative frequency histogram
The learner will be able to construct and interpret a cumulative frequency histogram in real life situations.

Strand	Bloom's	Scope	Hours	Source	Activities
Report data/make predictions		Master	1.0	2004 Arkansas Mathematics Frameworks DIP.5.AI.6	Classroom

Instructional Resources

·	Activity, WS 793 - 796 [Teaching Strategies].

Recognize linear/nonlinear functions
The learner will be able to recognize linear functions and non-linear functions by using a table or a graph.

Strand	Bloom's	Scope	Hours	Source	Activities
Report data/make predictions		Master	1.0	2004 Arkansas Mathematics Frameworks DIP.5.AI.7	Classroom

Instructional Resources

·	Add to lesson, See Alg A page 28 [Teaching Strategies].
·	Activity, WS 96, 98 - 102 [Teaching Strategies].

Simple probability
The learner will be able to compute simple probability with and without replacement.

Strand	Bloom's	Scope	Hours	Source	Activities
Report data/make predictions		Master	1.0	2004 Arkansas Mathematics Frameworks DIP.5.AI.8	Classroom

Instructional Resources

·	Activity, Ws 53 & 54 [Teaching Strategies].
·	Add to lesson, See Alg A page 29 [Teaching Strategies].
·	Algebra I Concepts & Skills, McDougal Littell, Page 808 - 812 [Textbook].

Explicit and recursive functions
The learner will be able to recognize patterns using explicitly defined and recursively defined linear functions.

Strand	Bloom's	Scope	Hours	Source	Activities
Report data/make predictions		Master	1.0	2004 Arkansas Mathematics Frameworks DIP.5.AI.9	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, Page 22 & 23 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Page 1 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Lesson 1.7 [Textbook].
·	Activity, WS 255, 256, 257, 258 [Teaching Strategies].
·	Add to lesson, See Alg A page 30 [Teaching Strategies].

Real world problems
The learner will be able to communicate real world problems graphically, algebraically, numerically, and verbally.

Strand	Bloom's	Scope	Hours	Source	Activities
Report data/make predictions		Master	1.0	2004 Arkansas Mathematics Frameworks DIP.5.AI.10	Classroom

Instructional Resources

·	Algebra I Concepts & Skills, McDougal Littell, lesson 1.7 [Textbook].
·	Algebra I Concepts & Skills, McDougal Littell, Page 803 - 807 [Textbook].

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