C o l l e g e o f S c i e n c e ,Te c h n o l o g y

A n d A p p l i e d A r t sO f Tr i n i d a d a n d To b a g o

School of liberal arts and human servicesDevelopmental Mathematics

Course Syllabus and Outline

Course Code: Math 093

Course Title: Intermediate Algebra

Number of Credits:

Lecturer’s Name:

E-Mail Address:

Telephone No:

Class Hours per week: 3 hours

Duration: 45 Hours

Campus Location:

Recommended Text Book:

Developmental Mathematics: Basic Mathematics and Algebra 2nd EditionLial, Hornsby, McGinnis, Salzman, and Hestwood

Purpose of Course:

This course will build on upon knowledge previously gained in Basic Algebra and provide students with the reasoning skills and mathematical tools they will need to be successful in advanced mathematics classes and varied careers. While developing mathematical skills, students will focus on the understanding of concepts in depth, enabling them to apply mathematical skills and make meaningful connections to life experiences.

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General Objectives:

In this course, students will:

1. Use strategies that require persistence, the ability to recognize inappropriate assumptions, and intellectual risk-taking rather than simple procedural approaches.

2. Acquire the skills necessary to communicate mathematical ideas and procedures using appropriate mathematical vocabulary and notation.

3. Become better prepared to use mathematics beyond the classroom, because as they learn to speak and write about mathematics, they develop mathematical power.

4. Learn mathematics through modeling real-world situations.

5. Participate in the mathematical modeling of situations from the world around them and use the models to make predictions and informed decisions.

6. Expand their mathematical reasoning skills as they develop convincing mathematical arguments.

7. Master techniques for solving a variety of equations: linear, quadratic, polynomial, rational.

8. Graph a variety of functions and relations and draw connections between these graphs and solutions to problems.

9. Use numerical, symbolic and graphical methods to model application problems, solve them and interpret the results in the context of the problem.

10. Develop the view that mathematics is a growing discipline, interrelated with human culture, and understand its connections to other disciplines.

11. Determine how mathematics provides a language for the sciences; plays a role in art, music, and literature; is applied by economists; is used in business and manufacturing; and has had an impact on history.

12. Engage in rich experiences that encourage independent, nontrivial exploration in mathematics, develop and reinforce tenacity and confidence in their abilities to use mathematics, and inspire them to pursue the study of mathematics and related disciplines.

13. Have opportunities to be successful in doing meaningful mathematics that fosters self-confidence and persistence.

14. Develop an awareness of careers in mathematics and related disciplines and have a vision of themselves using mathematics effectively in their chosen fields.

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Homework: Kuta Worksheets Pre Algebra : Polynomials – Addition & Subtraction of Polynomials Algebraic Expressions – Evaluating Variable Expressions Infinite Algebra 1 : Polynomials – Naming Polynomials - Adding & Subtraction of Polynomials Infinite Algebra 2 : Polynomial Functions – Naming Simple Operations (Q 1-8)

Homework: Kuta worksheetsPre Algebra : Polynomials – Multiplying a Polynomial and a Monomial Exponents and Radicals – Multiplication Property of Exponents - Division property of Exponents - Powers of Products and Quotients Infinite Algebra 1 : Polynomials – Multiplying Polynomials Exponents – Properties of Exponents(easy,hard)

Module 1: Exponents and Polynomials

Session 1

At the end of this session, the student will be able to:

Understand the term polynomial Differentiate between different types of polynomials, e.g. monomials, binomials and

trinomials Calculate the degree of a polynomial Write polynomials in standard form Simplify polynomials by correctly following the accepted order of operations for

addition and subtraction Evaluate polynomials for specified input values Apply appropriate polynomial models to real-world situations

Session 2

At the end of this session, the student will be able to: Understand and use the power rules for products and quotients – e.g. (2x)3 and

( a3 b4

2 x2 )3

Multiply polynomials using the distributive property of multiplication Understand and use powers of polynomials Understand and use zero as an exponent Understand and use negative integer exponents Understand and use the product, quotient and power rules for integer exponents Apply these concepts to problem solving.

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Homework: Kuta WorksheetsInfinite Algebra 1: Polynomials – Dividing Polynomials Exponents – Writing Numbers In Scientific Notation - Operations With Scientific Notation

Pre Algebra : Exponents and Radicals – Writing Scientific Notation

Session 3

At the end of this session, the student will be able to:

Divide a polynomial by a monomial using the distributive property of division Divide a polynomial by a polynomial using long division Use polynomials to model and solve real-world problems Understand the definition of scientific notation Understand the value of using scientific notation in calculations Convert a number expressed in standard notation to scientific notation Convert a number expressed in scientific notation to standard notation Use scientific notation to simplify and perform calculations involving addition,

subtraction, multiplication and division Use polynomials to model and solve real-world problems

Module 2: Factoring and Applications

Session 4

At the end of this module, the student will be able to:

Find the greatest common factor of monomials Factor polynomials by grouping terms which share a common factor Factor trinomials of the form ax2 + bx + c using the grouping method Recognize and factor perfect squares and differences of two squares Recognize and factor perfect cubes and the sums and differences of two cubes Understand and use multistep factoring Recognize quadratic equations and write equations in quadratic form Understand and use the zero-factor property to solve quadratic equations Solve quadratic equations by factoring Use quadratic equations to model and solve real-world problems

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Homework: Kuta WorksheetsPre Algebra : Number Theory – Factoring Monomials - Greatest Common Factor Infinite Algebra 1 : Polynomials- Factoring Quadratic Polynomials (easy, hard) - Factoring by Grouping - Factoring Special Cases Quadratic Functions – Solving Quadratic Equations by Factoring Infinite Algebra 2 : Polynomial Functions – Factoring Sum/Difference of Cubes - Factoring by Grouping - Factoring Quadratic Functions Quadratic Functions and Inequalities - Factoring Quadratic Expressions - Solving Quadratic Equations by Factoring

Homework: Kuta – Pre-Algebra Infinite Algebra 1 : Quadratic Functions-Solving Quadratic Equations by taking Square Roots -Solving Quadratic Equations with the Quadratic Formula

Session 5

Assessment 1 (25%) containing material covered in Modules 1 & 2(Sessions 1-4).

Module 3: Quadratic Equations

Session 6

At the end of this module, the student will be able to:Solve equations of the form x2 = k, where k > 0 using the property of square rootsSolve equations of the form (ax + b)2 = k where k > 0 using the property of square rootsSolve applied problems that require quadratic equations Understand and use the quadratic formula to solve quadratic equations

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Homework : Kuta Worksheets Infinite Algebra 1 : Quadratic Functions – Completing the Square - Solving Quadratic Equations by Completing the Square Infinite Algebra 2 : Quadratic Functions & Inequalities - Solving Quadratic Equations by Completing the Square -The Discriminant - Properties of Parabolas - Vertex Form Infinite Algebra 1 : Quadratic Functions – Graphing Quadratic Functions

Session 7

At the end of this module, the student will be able to:

Solve quadratic equations by completing the square Understand and use the discriminant to determine the number and types of roots of a

quadratic equation Find the vertex, intercepts and line of symmetry of a parabola by completing the square Sketch the graph of a quadratic expressionDetermine if the vertex is a maximum or minimum point Graph quadratic functions

Session 8

Assessment 2 (25%) containing material covered in Module 3(Sessions 6-7)

Module 4: Rational Expressions and Applications

Session 9

At the end of this session, the student will be able to:Calculate the values of a variable for which a rational expression is undefined Evaluate rational expressions for given input values Review and use the fundamental property of fractions to simplify rational expressions Multiply rational expressions Divide rational expressions Recognize and use opposite polynomials in division Review rules for adding and subtracting fractions to simplify rational expressions with

like and unlike denominators Interpret and perform arithmetic operations on rational expressions by correctly following

the accepted order of operations

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Homework: Kuta Worksheets Infinite Algebra 1 : Rational Expressions – Finding Excluded Values/Restricted Values - Simplifying Rational Expressions - Multiplying Rational Expressions - Dividing Rational Expressions Infinite Algebra 2 : Rational Expressions – - Simplifying Rational Expressions - Multiplying/Dividing Rational Expressions - Adding/Subtracting Rational Expressions

Homework : Kuta Worksheets Infinite Algebra 1 : Equations – Rational Equations (easy, hard) Infinite Algebra 2 : Solving Rational Equations

Homework : Text – Chapter 17 (17.5 Exercises)

Session 10

At the end of this session, the student will be able to:Review and use the rules for negative exponents to simplify fractions with terms

containing negative exponents Review and use the rules for solving equations to solve equations containing rational

expressions Use rational equations to model and solve real-world problems

Session 11Assessment 3 (25%) containing material covered in Module 4(Sessions 9-10)

Module 5: Relations, Functions and Graphs

Session 12

At the end of this session, the student will be able to:Understand and use the definition of a relation Understand and use the definition of a function Use the Vertical line test to determine if a given graph represents a function Use function notation Evaluate a function for given input values Determine the domain and range of a function..

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Homework : Kuta Worksheets Infinite Algebra 2 : Matrices – Basic Matrix Operations

Matrix Multiplication All Matrix Operations Combined

Module 6: Matrices

Session 13

At the end of this session, the student will be able to:Define a matrix Define and understand the dimensions of a matrix Understand matrix notation Identify different types of matrices Use matrices to represent information Perform addition, subtraction, and scalar multiplication of matrices Perform multiplication of matrices Recognize that matrix multiplication is not commutative

Session 14Assessment 4 (25%) containing material covered in Modules 5 & 6(Sessions 12-13)

Session 15Feedback on Assessment #4

METHODS OF ASSESSMENT

Assessment 1 25%

Assessment 2 25%

Assessment 3 25%

Assessment 4 25%

Total 100%

A student must obtain 60% or higher to pass this course.

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GRADING SYSTEM

Symbol Range Definitions Department Per0formance Criteria

A 90-100 Exceptional Exemplary

B+ 85-89 Very Good CompetentB 80-84 GoodC+ 75-79 Satisfactory EmergingC 70-74 SatisfactoryD+ 65-69 PassingD 60-64 PassingF 0-59.9 Failure/Unsuccessful

completion of courseUnacceptable

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