ModelCourses/CollegeAlgebra: Difference between revisions

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=== Review ===
=== Review ===
* '''Set 01 Real numbers, essential algebra rules''' <br>  
* '''Set 01 Real numbers, essential algebra rules''' <br>  
** :[[File:college_algebra_0_1.tar.gz|Problem set for this unit]]
** [[File:college_algebra_0_1.tar.gz|Problem set for this unit]]
** Students will be able to <br>
** Students will be able to <br>
*** evaluate algebraic expressions
*** evaluate algebraic expressions
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* '''Set 02 Formulas''' <br>  
* '''Set 02 Formulas''' <br>  
** :[[File:college_algebra_0_2.tar.gz|Problem set for this unit]] <br>  
** [[File:college_algebra_0_2.tar.gz|Problem set for this unit]] <br>  
** Students will be able to <br>
** Students will be able to <br>
*** Use Formulas
*** Use Formulas


* '''Set 03 Polynomials''' <br>
* '''Set 03 Polynomials''' <br>
** :[[File:college_algebra_0_3.tar.gz|Problem set for this unit]]
** [[File:college_algebra_0_3.tar.gz|Problem set for this unit]]
** Students will be able to <br>
** Students will be able to <br>
*** Use Polynomials
*** Use Polynomials
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* '''Set 04 Factoring polynomials''' <br>
* '''Set 04 Factoring polynomials''' <br>
** :[[file04|Problem set for this unit]]
** [[file04|Problem set for this unit]]
** Students will be able to <br>
** Students will be able to <br>
*** Factor polynomials
*** Factor polynomials
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* '''Set 05 Synthetic Division''' <br>  
* '''Set 05 Synthetic Division''' <br>  
** :[[File:college_algebra_0_4.tar.gz|Problem set for this unit]]
** [[File:college_algebra_0_4.tar.gz|Problem set for this unit]]
** Students will be able to <br>
** Students will be able to <br>
*** Do Synthetic Division
*** Do Synthetic Division
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* '''Set 07 Roots and rational exponents''' <br>  
* '''Set 07 Roots and rational exponents''' <br>  
** :[[File:college_algebra_0_5.tar.gz|Problem set for this unit]]
** [[File:college_algebra_0_5.tar.gz|Problem set for this unit]]
** Students will be able to <br>
** Students will be able to <br>
*** Solve for roots  
*** Solve for roots  
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* '''Set 01 Linear Equations''' <br>
* '''Set 01 Linear Equations''' <br>
** :[[File:college_algebra_1_1.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_1.tar.gz|Problem set for this unit]]
** Students will be able to
** Students will be able to
*** Solve linear equations <span style="color:blue">(populated)</span>
*** Solve linear equations <span style="color:blue">(populated)</span>


* '''Set 02 Quadratic Equations''' <br>
* '''Set 02 Quadratic Equations''' <br>
** :[[File:college_algebra_1_2.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_2.tar.gz|Problem set for this unit]]
** Students will be able to
** Students will be able to
*** Solve Quadratic Equations <span style="color:blue">(populated)</span>
*** Solve Quadratic Equations <span style="color:blue">(populated)</span>


* '''Set 03 Quadratic Equations with Complex Roots''' <br>
* '''Set 03 Quadratic Equations with Complex Roots''' <br>
** :[[File:college_algebra_1_3.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_3.tar.gz|Problem set for this unit]]
** Students will be able to
** Students will be able to
***  Solve quadratic equations with complex roots <span style="color:blue">(populated)</span>
***  Solve quadratic equations with complex roots <span style="color:blue">(populated)</span>


* '''Set 04 Equations with Quadratic form and Radicals''' <br>
* '''Set 04 Equations with Quadratic form and Radicals''' <br>
** :[[File:college_algebra_1_4.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_4.tar.gz|Problem set for this unit]]
** Students will be able to <br>
** Students will be able to <br>
*** Use Quadratic form equations
*** Use Quadratic form equations
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* '''Set 05 Inequalities''' <br>
* '''Set 05 Inequalities''' <br>
** :[[File:college_algebra_1_5.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_5.tar.gz|Problem set for this unit]]
** Students will be able to <br>
** Students will be able to  
*** Solve very simple inequalities
*** Solve very simple inequalities
*** Solve compound inequalities <span style="color:red">(populated, needs more)</span>
*** Solve compound inequalities <span style="color:red">(populated, needs more)</span>


=== Unit 6 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 06 Absolute value'''
:[[File:college_algebra_1_6.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_6.tar.gz|Problem set for this unit]]
* Absolute value equations and inequalities <span style="color:blue">(populated)</span>
** Students will be able to
*** Solve equations involving absolute values
** Solve inequalities involving absolute values <span style="color:blue">(populated)</span>


=== Unit 7 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 07 Applications'''
:[[File:college_algebra_1_7.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_7.tar.gz|Problem set for this unit]]
* Word problems: interest, mixture, motion, constant rate jobs <span style="color:blue">(populated)</span>
** Students will be able to
*** Solve word problems about interest
*** Solve mixture problems
*** Solve word problems about motion
*** Solve word problems about constant rate jobs <span style="color:blue">(populated)</span>


=== Unit 8 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 08 Coordinate system'''
:[[File:college_algebra_1_8.tar.gz|Problem set for this unit]]
**[[File:college_algebra_1_8.tar.gz|Problem set for this unit]]
* Coordinate system. Distance and midpoint formula <span style="color:blue">(populated)</span>
** Students will be able to
*** Solve problems using the distance formula
*** Solve problems using the midpoint formula <span style="color:blue">(populated)</span>


=== Unit 9 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 09 Graphs of equations in two variables'''
:[[File:college_algebra_1_9.tar.gz|Problem set for this unit]]
**[[File:college_algebra_1_9.tar.gz|Problem set for this unit]]
* Graphs of equations in two variables, intercepts, symmetry <span style="color:blue">(populated)</span>
** Students will be able to
*** Find graphs of equations in two variables
*** Find intercepts
*** Analyze symmetry of graphs <span style="color:blue">(populated)</span>


=== Unit 10 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 10 Lines'''
:[[File:college_algebra_1_10.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_10.tar.gz|Problem set for this unit]]
* Lines
** Students will be able to
*** Find graphs of lines


=== Unit 11 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 11 Lines'''
:[[File:college_algebra_1_11.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_11.tar.gz|Problem set for this unit]]
* Circles
** Students will be able to
*** Find graphs of circles


=== Unit 12 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 12 Variation'''
:[[File:college_algebra_1_12.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_12.tar.gz|Problem set for this unit]]
* Variation (formulas for science laws, say)
** Students will be able to
*** Do problems involving variation
*** Apply formulas to science laws


=== Unit 13 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 13 Functions'''
:[[File:college_algebra_1_13.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_13.tar.gz|Problem set for this unit]]
* Functions
** Students will be able to
*** Determine if an equation is a function
*** Evaluate functions


=== Unit 14 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 14 Graph of functions'''
:[[File:college_algebra_1_14.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_14.tar.gz|Problem set for this unit]]
* Graph of functions
** Students will be able to
*** Find graphs of functions


=== Unit 15 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 15 Properties of functions'''
:[[File:college_algebra_1_15.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_15.tar.gz|Problem set for this unit]]
* Properties of functions
** Students will be able to
*** Use properties of functions


=== Unit 16 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 16 Library of functions'''
:[[File:college_algebra_1_16.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_16.tar.gz|Problem set for this unit]]
* Library of functions, piecewise-defined functions
** Students will be able to
*** Use several of a library of functions
*** Graph piecewise-defined functions
*** Evaluate piecewise-defined functions


=== Unit 17 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 17 Transformations of functions'''
:[[File:college_algebra_1_17.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_17.tar.gz|Problem set for this unit]]
* Graphing techniques, transformations
** Students will be able to
*** Use graphing techniques
*** Use transformations to graph composite functions


=== Unit 18 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 18 Math models'''
:[[File:college_algebra_1_18.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_18.tar.gz|Problem set for this unit]]
* Math models: building functions
** Students will be able to
***  Build functions


=== Unit 19 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 19 Properties of Linear Functions'''
:[[File:college_algebra_1_19.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_19.tar.gz|Problem set for this unit]]
* Linear functions and their properties <span style="color:blue">(populated)</span>
** Students will be able to
***  Recognize linear functions <span style="color:blue">(populated)</span>


=== Unit 20 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 20 Linear models'''
:[[File:college_algebra_1_20.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_20.tar.gz|Problem set for this unit]]
* Linear models
** Students will be able to
*** Use Linear models


=== Unit 21 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 21 Properties of Quadratic functions'''
:[[File:college_algebra_1_21.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_21.tar.gz|Problem set for this unit]]
* Quadratic functions and their properties
** Students will be able to
*** Use Quadratic functions  


=== Unit 22 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 22 Applications of Quadratic functions'''
:[[File:college_algebra_1_22.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_22.tar.gz|Problem set for this unit]]
* Quadratic models from ‘word problems’
** Students will be able to
*** Solve word problems using quadratic functions


=== Unit 23 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 23 Inequalities with Quadratic functions'''
:[[File:college_algebra_1_23.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_23.tar.gz|Problem set for this unit]]
* Inequalities with quadratic functions Audrey
** Students will be able to
*** Solve inequalities with quadratic functions  


=== Unit 24 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 24 Polynomial functions and models'''
:[[File:college_algebra_1_24.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_24.tar.gz|Problem set for this unit]]
* Polynomial functions and models
** Students will be able to
*** Solve problems using Polynomial functions and models


=== Unit 25 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 25 Properties of Rational Functions'''
:[[File:college_algebra_1_25.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_25.tar.gz|Problem set for this unit]]
* Properties of rational functions?
** Students will be able to
*** Solve problems related to properties of rational functions


=== Unit 26 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 26 Graphs of a Rational Functions'''
:[[File:college_algebra_1_26.tar.gz|Problem set for this unit]]
**[[File:college_algebra_1_26.tar.gz|Problem set for this unit]]
* Graph of a rational function?
** Students will be able to
*** Find vertical asymptotes
*** Find horizontal asymptotes
*** Find the domain and range of a rational function.
*** Graph rational functions


=== Unit 27 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 27 Graphs of a Rational Functions'''
:[[File:college_algebra_1_27.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_27.tar.gz|Problem set for this unit]]
* Polynomial and Rational Inequalities:  Audrey
** Students will be able to
*** Solve Polynomial Inequalities
*** Solve Rational Inequalities


=== Unit 28 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 28 Real zeros of polynomials'''
:[[File:college_algebra_1_28.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_28.tar.gz|Problem set for this unit]]
* Real zeros of polynomials
** Students will be able to
***  Find real zeros of polynomials


=== Unit 29 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 29 Complex zeros'''
:[[File:college_algebra_1_29.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_29.tar.gz|Problem set for this unit]]
* Complex zeros, fundamental theorem of algebra
** Students will be able to
*** Find complex zeros
*** Apply the fundamental theorem of algebra


=== Unit 30 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] ===
* '''Set 30 Composite functions'''
:[[File:college_algebra_1_30.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_30.tar.gz|Problem set for this unit]]
* Composite functions
** Students will be able to
*** Evaluate composite functions


=== Unit 31 - [[ModelCourses/CollegeAlgebra/MoreFunctions|More about Functions]] ===
* '''Set 31 Inverse functions'''
:[[File:college_algebra_1_31.tar.gz|Problem set for this unit]]
** [[File:college_algebra_1_31.tar.gz|Problem set for this unit]]
* One-to-one functions
** Students will be able to
* Inverse functions
*** Determine if a function is one-to-one
*** Find the inverse of a function


=== Unit 32 - [[ModelCourses/CollegeAlgebra/ConicSections|Conic sections]] ===
* '''Set 32 Conic sections'''
:[[File:college_algebra_1_32.tar.gz|Problem set for this unit]]
**[[File:college_algebra_1_32.tar.gz|Problem set for this unit]]
* Conic sections
** Students will be able to
*** Find equations for circles
*** Find equations for ellipses
*** Find equations for parabolas


=[[ModelCourses|Other Model Courses]]=
=[[ModelCourses|Other Model Courses]]=

Revision as of 14:58, 10 March 2013

Prep Main Page > Model Courses > College Algebra Model Course

Try it out

General Description

  • Freshman level college algebra course
  • Pre-requisite: Intermediate algebra or 2 years of high school algebra.


Possible textbooks include, but are not limited to:

  • Michael Sullivan and Michael Sullivan III. College Algebra—Enhanced with Graphing Utilities, Fifth Edition. Upper Saddle River, NJ: Prentice-Hall, Inc., 2009.

Topics Covered

  • Lines and Circles and their graphs
  • Functions and Their Graphs
  • Inverse Functions
  • Linear Functions, Their Properties, and Linear Models
  • Quadratic Functions and Their Properties
  • Inequalities Involving Quadratic Functions
  • Polynomial and Rational Functions
  • Exponential Functions
  • Logarithmic Functions
  • Exponential Growth and Decay Models
  • Conics: Parabola, Ellipse and Hyperbola
  • Systems of Equations and Inequalities

Problem sets

Review

  • Set 01 Real numbers, essential algebra rules
    • Problem set for this unit
    • Students will be able to
      • evaluate algebraic expressions
      • domain of a variable
      • laws of exponents
      • square roots
      • scientific notation
  • Set 07 Roots and rational exponents

College algebra problem sets

  • Set 03 Quadratic Equations with Complex Roots
  • Set 04 Equations with Quadratic form and Radicals
    • Problem set for this unit
    • Students will be able to
      • Use Quadratic form equations
      • Solve Factorable equations
      • Solve Equations with radicals (populated)
  • Set 05 Inequalities
    • Problem set for this unit
    • Students will be able to
      • Solve very simple inequalities
      • Solve compound inequalities (populated, needs more)
  • Set 06 Absolute value
    • Problem set for this unit
    • Students will be able to
      • Solve equations involving absolute values
    • Solve inequalities involving absolute values (populated)
  • Set 07 Applications
    • Problem set for this unit
    • Students will be able to
      • Solve word problems about interest
      • Solve mixture problems
      • Solve word problems about motion
      • Solve word problems about constant rate jobs (populated)
  • Set 08 Coordinate system
    • Problem set for this unit
    • Students will be able to
      • Solve problems using the distance formula
      • Solve problems using the midpoint formula (populated)
  • Set 09 Graphs of equations in two variables
    • Problem set for this unit
    • Students will be able to
      • Find graphs of equations in two variables
      • Find intercepts
      • Analyze symmetry of graphs (populated)
  • Set 12 Variation
  • Set 13 Functions
  • Set 16 Library of functions
    • Problem set for this unit
    • Students will be able to
      • Use several of a library of functions
      • Graph piecewise-defined functions
      • Evaluate piecewise-defined functions
  • Set 17 Transformations of functions
  • Set 19 Properties of Linear Functions
  • Set 22 Applications of Quadratic functions
  • Set 23 Inequalities with Quadratic functions
  • Set 24 Polynomial functions and models
  • Set 25 Properties of Rational Functions
  • Set 26 Graphs of a Rational Functions
    • Problem set for this unit
    • Students will be able to
      • Find vertical asymptotes
      • Find horizontal asymptotes
      • Find the domain and range of a rational function.
      • Graph rational functions
  • Set 27 Graphs of a Rational Functions
  • Set 29 Complex zeros
  • Set 31 Inverse functions
  • Set 32 Conic sections
    • Problem set for this unit
    • Students will be able to
      • Find equations for circles
      • Find equations for ellipses
      • Find equations for parabolas

Other Model Courses

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