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Perform Basic Operations with Real Numbers
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Overview
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Title
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Perform Basic Operations with Real Numbers
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Developer(s)
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Edward M. Allen
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Date
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7/8/1999
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Purpose
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Review and develop basic skills.
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Target Competency
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2.
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Perform basic operations with real numbers.
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Linked External Standards
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Compare real numbers
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Perform and explain operations on real numbers
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Linked Core Abilities
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Demonstrate critical thinking
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Use mathematics effectively
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Performance Standards
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Competence will be demonstrated:
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in the performance of basic operations with real numbers.
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on an objective classroom exam, quiz, or challenge problem.
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on a homework exercise or an assigned learning center activity.
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on an on-line website lesson and quiz at: http://instruction.madison.tec.wi.us/ald/learningcenter/signednumbersindex.html
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Criteria - Performance will be satisfactory when:
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learner performs addition calculations and obtain results in compliance with rules of real numbers.
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learner performs subtraction calculations and obtain results in compliance with rules of real numbers.
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learner performs multiplication calculations and obtain results in compliance with rules of real numbers.
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learner perform division calculations and obtain results in compliance with rules of real numbers.
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Learning Objectives
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This learning plan addresses the following learning objectives to help you master the competency:
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a.
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Write the subsets of real numbers.
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b.
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Add real numbers.
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c.
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Subtract real numbers.
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d.
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Write the product of two real numbers.
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e.
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Write the quotient of two real numbers.
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Learning Activities
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_____1.
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CREATE raps describing math operations, formulas, and problem-solving methods.
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Properties
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Group Size:
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Individual&Small Group
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Focus:
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Learner Centered
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Content:
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Procedure
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Multiple Intelligence:
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Musical/Rhythmic
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Learning Style:
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Doing
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Right/Left Brain:
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Right Brain
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VAK:
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Auditory
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_____2.
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COLLABORATE on a learning activity.
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Properties
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Group Size:
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Small Group
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Focus:
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Learner Centered
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Content:
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*
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Multiple Intelligence:
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Interpersonal
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Learning Style:
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Seeking Meaning&Inventing
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Right/Left Brain:
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Right Brain&Left Brain
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VAK:
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*
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_____3.
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READ an assignment in the textbook.
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Properties
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Group Size:
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Individual
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Focus:
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Teacher Centered
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Content:
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Concept&Fact
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Multiple Intelligence:
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Verbal/Linguistic
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Learning Style:
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Conceptualizing
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Right/Left Brain:
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Left Brain
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VAK:
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Visual
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Computations of Rational Expressions
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Overview
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Title
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Computations of Rational Expressions
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Developer(s)
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Edward M. Allen
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Date
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6/23/1999
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Purpose
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Build skills in these types of computations.
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Target Competency
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3.
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Perform computations involving rational expressions.
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Linked External Standards
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Perform and explain operations on real numbers
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Linked Core Abilities
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Demonstrate critical thinking
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Use mathematics effectively
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Develop a sense of personal, social, professional, and work ethics
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Performance Standards
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Competence will be demonstrated:
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in the performance of computations involving rational expressions.
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in an objective classroom exam, quiz, or group problem-solving session
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Criteria - Performance will be satisfactory when:
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learner performs computations involving rational expressions.
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learner performs correct computations
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learner demonstrates that a reduced ratio has a greatest common factor of one
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learner produces an answer which makes a given proportion a true statement
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Learning Objectives
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This learning plan addresses the following learning objectives to help you master the competency:
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a.
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Find the sum of two or more rational numbers
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b.
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Find the difference of two rational numbers
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c.
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Find the product of two or more rational numbers
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d.
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Find the quotient of two rational numbers
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e.
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Classify a number or variable as an element of a set
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f.
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Estimate a plausible answer
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g.
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Change improper fractions to mixed numbers and vice versa
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h.
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Write a fraction that shows the ratio comparison of two measurements
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i.
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Solve a proportion
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j.
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Find the absolute value of a rational number
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k.
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Perform a combination of operations on rational numbers using the Order of Operation concept
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l.
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m.
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Learning Activities
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_____1.
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Complete all homework assignments.
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Learning Materials
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Tussy and Gustafson
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Prealgebra
. Publisher:
. Year:
. Media Type:
. Length:
. Price:
. Location:
. Description: .
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Allen and Allen
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Applied Mathematics
. Publisher:
. Year:
. Media Type:
. Length:
. Price:
. Location:
. Description: .
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Factor Algebraic Expressions
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Overview
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Title
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Factor Algebraic Expressions
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Developer(s)
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Edward M. Allen
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Date
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7/8/1999
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Purpose
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Develop skill in these kinds of computations.
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Target Competency
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4.
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Factor algebraic expressions.
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Linked External Standards
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Use mathematical functions (e.g., linear, exponential, quadratic, power) in a variety of ways
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Linked Core Abilities
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Demonstrate critical thinking
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o
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Use mathematics effectively
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o
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Develop a sense of personal, social, professional, and work ethics
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Performance Standards
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Competence will be demonstrated:
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o
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in the factoring of algebraic expressions.
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in an objective classroom exam, quiz, or problem-solving group session
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Criteria - Performance will be satisfactory when:
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learner writes whole numbers as a series of prime factors in ascending order
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learner demonstrates that fractions are written with a greatest common factor of one for numerator and denominator
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learner demonstates that rational expressions have a greatest common factor of one
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learner can show that polynomials are written as a series of reduced polynomials with a greatest common factor of one
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Learning Objectives
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This learning plan addresses the following learning objectives to help you master the competency:
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a.
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Write the greatest common factor of two or more numbers
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b.
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Perform prime factorization on a whole number
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c.
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State at least two reasons for factoring expressions
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d.
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Write the factors of two or more terms using the grouping method
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e.
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Write the factors of the difference of two perfect squares
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f.
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Write the factors of a perfect square trinomial
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g.
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Write the factors of a trinomial using guess and check
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h.
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Write the quotient of a polynomial and a monomial
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i.
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Outline an approach to factoring a polynomial
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Learning Activities
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_____1.
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Complete all homework assignments.
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Learning Materials
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Tussy and Gustafson
.
Prealgebra
. Publisher:
. Year:
. Media Type:
. Length:
. Price:
. Location:
. Description: .
|
|
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Allen and Allen
.
Applied Mathematics
. Publisher:
. Year:
. Media Type:
. Length:
. Price:
. Location:
. Description: .
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Solve First Degree Equations and Inequalities
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Overview
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Title
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Solve First Degree Equations and Inequalities
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Developer(s)
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Edward M. Allen
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Date
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7/8/1999
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