MATH 1023 Intermediate Algebra

(3 credit hours/ 3 lecture hours)

 Course Syllabus

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Course Description

(Prerequisite:  MATH 1013 Elementary Algebra or a score of 17-18 on the ACT placement test in mathematics or equivalent score on the ASSET, SAT, or COMPASS.)  Designed primarily for students not qualified to enroll directly into MATH 1333 College Algebra.  Fundamental operations of the real number system, factoring, linear equations, functions ands graphs, exponents, radicals and logarithms are covered.

Rationale

Intermediate Algebra is a course designed to continue building on the knowledge learned in Elementary Algebra to the level necessary for College Algebra.  It is also to better prepare those who do not first qualify for College Algebra.

General Course Goals

1.                   The student will be able to factor using several techniques.

2.                   The student will be able to use factoring to solve quadratic equations.

3.                   The student will be able to perform operations on rational expressions.

4.                   The student will be able to solve equations involving rational expressions.

5.                   The student will be able to solve application problems.

6.                   The student will be able to solve systems of equations.

7.                   The student will be able to solve equations containing radicals.

8.                   The student will be able to perform operations with radicals.

 Required Text and Materials

Textbook:                Aufmann, Barker, Lockwood.   Beginning Algebra with Applications.   Houghton Mifflin Company.   (ISBN:  0-618-306056)

Calculator:                TI 83 Graphing Calculator or Scientific Calculator

 Materials:                Graphing or grid paper

 

Class Assignments

Chapter 8

8.1                 Common Factors

8.2                 Factoring Polynomials of the Form X2+BX+C

8.3                 Factoring Polynomials of the Form AX2+BX+C

8.4                 Special Factoring

8.5                 Solving Equations by Factoring

Chapter 9

9.1                 Multiplication and Division of Rational Expressions

9.2                 Expressing Fractions in Terms of the Least Common Multiple (LCM) of their Denominators

9.3                 Addition and Subtraction of Rational Expressions

9.4                 Complex Fractions

9.5                 Solving Equations Containing Fractions

9.6                 Literal Equations

9.7                 Application Problems

Chapter 10

10.1              Introduction to Radical Expressions

10.2              Addition and Subtraction of Radical Expressions

10.3              Multiplication and Division of Radical Expressions

10.4              Solving Equations Containing Radical Expressions

Chapter 11

11.1    Solving Quadratic Equations by factoring and taking square roots

11.2    Solving Quadratic Equations by completing the square

11.3    Solving Quadratic Equations by using the Quadratic Formula

11.4    Graphing Quadratic Equations

Chapter 6

6.1     Solving Systems of Linear Equations by Graphing

6.2     Solving Systems of Linear Equation by the Substitution Method

6.3     Solving Systems of Equations by the Addition Method

6.4     Application Problems in Two Variables

Learning Objectives

FACTORING - Chapter 8

Goals:     The student will be able to factor using several techniques.  The student will be able to use factoring techniques to solve quadratic equations.

 Objectives:          The student will be able to factor

1.                   Out a common factor.

2.                   A four-term expression by grouping.

3.                   Trinomials of the form X2 + BX + C.

4.                   Trinomials of the form AX2 + BX + C.

5.                   A perfect square trinomial.

6.                   The difference of two squares.

7.                   The sum or difference of two cubes.

8.                   To solve quadratic equations and applications.

RATIONAL EXPRESSIONS - Chapter 9

Goals:                     The student will be able to perform operations on rational expressions.  The student will be able to solve equations involving rational expressions.

 Objectives:          The student will be able to

1.                   Determine the values that make a rational expression undefined.

2.                   Build fractions.

3.                   Reduce (simplify) a rational in lowest terms.

4.                   Multiply and divide rational expressions.

5.                   Add and subtract rational expressions.

6.                   Simplify a complex fraction using one of two methods.

7.                   Solve equations that contain rational expressions.

8.                   Solve proportions and application problems.

Roots and Radicals - Chapter 10

Goals:       The student will be able to perform operations with radicals.  The student will be able to solve equations containing radicals.

 Objectives:         The student will be able to

1.                   Find the square of higher root of a number.

2.                   Classify the square root of a number and approximate it with a calculator.

3.                   Solve an application involving square roots.

4.                   Multiply and simplify radicals using the product rule.

5.                   Divide and simplify radicals using the quotient rule.

6.                   Simplify radicals involving variables.

7.                   Add and subtract like radicals.

8.                   Use the distributive property to simplify radicals.

9.                   Rationalize the denominator in an expression.

10.                Simplify a radical expression involving products, quotients, sums, or differences.

11.                Solve equations with square root terms.

Chapter 11 - Quadratic Equations

Goal:       The students will be able to solve and graph quadratic equations.

Objectives:           The students will be able to

                 1.               Solve Quadratic Equations by factoring and taking square roots.

2.                Solve quadratic equations by completing the square.

3.                Solve quadratic equations by using the quadratic formula.

4.                 Graph quadratic equations.

  

Chapter 6

Goal:       The students will be able to solve systems of linear equations.

Objectives:            The will be able to

  1. Solving Systems of Linear Equations by Graphing
  2. Solving Systems of Linear Equation by the Substitution Method
  3. Solving Systems of Equations by the Addition Method
  4. Application Problems in Two Variables

                                                                                                                                                                                                            

INTERMEDIATE ALGEBRA

TEXTBOOK ASSIGNMENT SHEET (Mrs. Scott)  

For online math assistance go to www.purplemath.com

 

Section             Page(s)                       Problems

8.1                           390 – 391          22, 38, 58, 70, 76, 88, 94, 98, 100, 108, 112, 116

8.2                           396 – 397          2, 6, 8, 12, 24, 40, 44, 60, 72, 78, 90, 102, 108, 112

8.3                           404 – 405          2, 4, 6, 8, 12, 16, 44, 50, 56, 62, 68, 72, 80, 100, 122

8.4                           411 – 412          12, 24, 36, 40, 46, 54, 62, 80, 86, 92, 110, 148, 150, 152, 154

8.5                           417 – 420          4, 8, 14, 17, 26, 32, 34, 38, 44, 56, 62, 64,  70, 90, 92, 96

Review                   431                     1 – 22

Test 1

 

 

9.1                           441 – 444          6, 8, 10, 12, 16, 20, 27, 32, 36, 42, 50, 58, 64, 68, 74, 78, 82  

9.2                          448 - 449            4, 8, 16, 20, 24, 28, 34, 38, 48, 50, 54

9.3                           454 – 455          2, 6, 12, 14, 18, 24, 28, 34, 40, 46, 58, 64, 70, 76, 78, 80

9.4                           460 – 462          2, 4, 6, 10, 12, 20, 24, 34, 36, 38, 40

9.5                           470 – 471          4, 6, 10, 14, 16, 18, 20, 22, 26, 32, 38, 40, 42, 60, 62

9.6                           478 – 479          2, 8, 11, 12, 13, 14, 16, 18

9.7                           484 – 489          2, 4, 6, 24, 26, 28

Review                   499                     1 – 25

Test 2

 

 

10.1                         511 – 512          8 – 24 even, 38, 42, 54, 56, 60, 64, 68, 84, 90, 96

10.2                         515 – 516          2, 6, 12, 18, 24, 26, 28, 30, 40, 44, 46, 50, 52, 58, 62, 64, 68, 70

10.3                         522 – 523          4, 8, 12, 16, 20, 28, 29, 30, 36, 40, 44, 48, 52, 56, 66, 74, 76, 84, 88

10.4                         530                     6, 10, 14, 18, 22, 24, 28, 30, 32, 36, 39, 40, 41, 46, 48, 60

Review                   543 – 544          1 – 30

Test 3

 

11.1                        555 - 557            2 - 12 even, 18, 20, 22, 24, 30, 34, 40, 46, 50, 52, 56, 58

                               Part 2                60 - 92 even

11.2                        563 - 564            20, 24, 26, 28, 38, 40, 42, 50, 52, 54, 56, 58    

11.3                        568 - 569            4, 8, 10, 16, 18, 22, 24, 28, 48, 58, 60

11.4                        574 - 575            6 - 34 even

Review

Test 4

 

6.1                           305 – 307                4, 6, 14, 16, 20, 22, 24, 26, 28, 30, 32, 36, 38, 42, 48, 50

6.2                           312 – 313                2, 6, 14, 16, 32, 36, 42, 46, 54

6.3                           318                          8, 12, 14, 16, 22, 28, 30, 32, 38

6.4                           324 – 325                2, 4, 6, 8, 10

Test 5

                                                           

                                                                                                     

INTERMEDIATE ALGEBRA – MATH 1023

PLATO ASSIGNMENTS

Mrs. Scott 

                                   

Chapter 8                                                                    Number of Mastery Test

Common Factors                                                                                                  2

Factoring                                                                                                               3

Factoring II                                                                                                            2

Factoring Trinomials I                                                                                          1

Factoring Trinomials II                                                                                         1

Factoring Special Cases                                                                                       2

Perfect Square Trinomial                                                                                      1

Sum & Difference Perfect Cubes                                                                         1                      

( 26 points possible)

 Chapter 9

Review Rational Expressions                                                                              1

Evaluating                                                                                                              2

Equivalent Forms                                                                                                  2

Rational Product and Quotient                                                                          2

Rational Sum and Difference                                                                              2  

Unlike Denominators                                                                                           3

(24 points possible) 

 Chapter 10

Square Roots – Beginning Algebra                                                                  3

Square Roots - Pre Algebra                                                                                2

Roots and Radicals                                                                                              3

Exponents and Radicals                                                                                      3

The Pythagorean Theorem 1                                                                              1

(Geometry and Measurement)  

The Pythagorean Theorem 2                                                                               2

(28 points possible)

 Chapter 11

Quadratic Equations                                                                                              2

Quadratic Formulas                                                                                                2

(8 points possible)

 

Chapter 6

Systems – Substitution                                                                                       1

Systems – Addition                                                                                             1

Systems of Equations                                                                                          1

(6 points possible)

 

 You can earn a total of 92 bonus points!!!!!!!!!

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