Difference between revisions of "ModelCourses/CollegeAlgebra"
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[[PREP_2011|Prep Main Page]] > [[ModelCourses|Model Courses]] > College Algebra Model Course |
[[PREP_2011|Prep Main Page]] > [[ModelCourses|Model Courses]] > College Algebra Model Course |
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− | == [https://test.webwork.maa.org/webwork2/College_Algebra/ Try it out] == |
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− | |||
==Description== |
==Description== |
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Starting with one particular textbook we created a set of topics that are covered in a typical college algebra course. We have not organized these by chapters so that any person teaching from any textbook could use these in any order they needed. We then used the NPL to populate those topics with problems that exist. This led us to trying to decide how to combine some of those groups so that they would be more user friendly. We also started to write some problems to cover areas that are not covered or thinly covered by the NPL, as well as trying to get some sort of order of difficulty in the numbering. |
Starting with one particular textbook we created a set of topics that are covered in a typical college algebra course. We have not organized these by chapters so that any person teaching from any textbook could use these in any order they needed. We then used the NPL to populate those topics with problems that exist. This led us to trying to decide how to combine some of those groups so that they would be more user friendly. We also started to write some problems to cover areas that are not covered or thinly covered by the NPL, as well as trying to get some sort of order of difficulty in the numbering. |
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= Review = |
= Review = |
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=== Unit 1 - [[ModelCourses/CollegeAlgebra/Review/RealNumbers|Real numbers; essential algebra rules ]] === |
=== Unit 1 - [[ModelCourses/CollegeAlgebra/Review/RealNumbers|Real numbers; essential algebra rules ]] === |
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− | :[[ |
+ | :[[file01|Problem set for this unit]] |
* evaluate algebraic expressions |
* evaluate algebraic expressions |
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=== Unit 2 - [[ModelCourses/CollegeAlgebra/Review/Formulas|Formulas]] === |
=== Unit 2 - [[ModelCourses/CollegeAlgebra/Review/Formulas|Formulas]] === |
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− | :[[File: |
+ | :[[File:college_algebra05.tar.gz|Problem set for this unit]] |
* Formulas |
* Formulas |
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=== Unit 3 - [[ModelCourses/CollegeAlgebra/Review/Polynomials|Polynomials ]] === |
=== Unit 3 - [[ModelCourses/CollegeAlgebra/Review/Polynomials|Polynomials ]] === |
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− | :[[ |
+ | :[[file03|Problem set for this unit]] |
* Polynomials |
* Polynomials |
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* Multiplication formulas |
* Multiplication formulas |
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=== Unit 5 - [[ModelCourses/CollegeAlgebra/Review/SyntheticDivision|Synthetic Division]] === |
=== Unit 5 - [[ModelCourses/CollegeAlgebra/Review/SyntheticDivision|Synthetic Division]] === |
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− | :[[ |
+ | :[[file05|Problem set for this unit]] |
* Synthetic Division |
* Synthetic Division |
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=== Unit 7 - [[ModelCourses/CollegeAlgebra/Review/RootsRationalExponents|Roots and rational exponents]] === |
=== Unit 7 - [[ModelCourses/CollegeAlgebra/Review/RootsRationalExponents|Roots and rational exponents]] === |
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− | :[[ |
+ | :[[file07|Problem set for this unit]] |
* Roots and rational exponents |
* Roots and rational exponents |
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=== Unit 1 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 1 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
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− | :[[ |
+ | :[[file11|Problem set for this unit]] |
* Linear equations <span style="color:blue">(populated)</span> |
* Linear equations <span style="color:blue">(populated)</span> |
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=== Unit 2 - [[ModelCourses/CollegeAlgebra/QuadraticEquations |Quadratic Equations ]] === |
=== Unit 2 - [[ModelCourses/CollegeAlgebra/QuadraticEquations |Quadratic Equations ]] === |
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− | :[[ |
+ | :[[file12|Problem set for this unit]] |
* Quadratic Equations <span style="color:blue">(populated)</span> |
* Quadratic Equations <span style="color:blue">(populated)</span> |
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=== Unit 3 - [[ModelCourses/CollegeAlgebra/ComplexRoots|Quadratic Equations with Complex Roots]] === |
=== Unit 3 - [[ModelCourses/CollegeAlgebra/ComplexRoots|Quadratic Equations with Complex Roots]] === |
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− | :[[ |
+ | :[[file13|Problem set for this unit]] |
* Complex numbers and quadratic equations <span style="color:blue">(populated)</span> |
* Complex numbers and quadratic equations <span style="color:blue">(populated)</span> |
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− | === Unit 4 - [[ModelCourses/CollegeAlgebra/BeyondQuadratics| |
+ | === Unit 4 - [[ModelCourses/CollegeAlgebra/BeyondQuadratics|equations with Quadratic form and Radicals]] === |
− | :[[ |
+ | :[[file14|Problem set for this unit]] |
* Quadratic in form equations |
* Quadratic in form equations |
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* Factorable equations |
* Factorable equations |
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* Equations with radicals <span style="color:blue">(populated)</span> |
* Equations with radicals <span style="color:blue">(populated)</span> |
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− | === Unit 5 - [[ModelCourses/CollegeAlgebra/ |
+ | === Unit 5 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
− | :[[ |
+ | :[[file15|Problem set for this unit]] |
− | * |
+ | * Very simple inequalities, compound inequalities <span style="color:red">(populated, needs more)</span> |
− | * Compound inequalities <span style="color:red">(populated, needs more)</span> |
||
=== Unit 6 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 6 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file16|Problem set for this unit]] |
* Absolute value equations and inequalities <span style="color:blue">(populated)</span> |
* Absolute value equations and inequalities <span style="color:blue">(populated)</span> |
||
=== Unit 7 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 7 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file17|Problem set for this unit]] |
* Word problems: interest, mixture, motion, constant rate jobs <span style="color:blue">(populated)</span> |
* Word problems: interest, mixture, motion, constant rate jobs <span style="color:blue">(populated)</span> |
||
=== Unit 8 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 8 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file18|Problem set for this unit]] |
* Coordinate system. Distance and midpoint formula <span style="color:blue">(populated)</span> |
* Coordinate system. Distance and midpoint formula <span style="color:blue">(populated)</span> |
||
=== Unit 9 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 9 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file19|Problem set for this unit]] |
* Graphs of equations in two variables, intercepts, symmetry <span style="color:blue">(populated)</span> |
* Graphs of equations in two variables, intercepts, symmetry <span style="color:blue">(populated)</span> |
||
=== Unit 10 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 10 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file110|Problem set for this unit]] |
* Lines |
* Lines |
||
=== Unit 11 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 11 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
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− | :[[ |
+ | :[[file111|Problem set for this unit]] |
* Circles |
* Circles |
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=== Unit 12 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 12 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file112|Problem set for this unit]] |
* Variation (formulas for science laws, say) |
* Variation (formulas for science laws, say) |
||
=== Unit 13 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 13 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file113|Problem set for this unit]] |
* Functions |
* Functions |
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=== Unit 14 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 14 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file114|Problem set for this unit]] |
* Graph of functions |
* Graph of functions |
||
=== Unit 15 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 15 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file115|Problem set for this unit]] |
* Properties of functions |
* Properties of functions |
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=== Unit 16 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 16 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file116|Problem set for this unit]] |
* Library of functions, piecewise-defined functions |
* Library of functions, piecewise-defined functions |
||
=== Unit 17 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 17 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file117|Problem set for this unit]] |
* Graphing techniques, transformations |
* Graphing techniques, transformations |
||
=== Unit 18 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 18 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file118|Problem set for this unit]] |
* Math models: building functions |
* Math models: building functions |
||
=== Unit 19 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 19 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file119|Problem set for this unit]] |
* Linear functions and their properties <span style="color:blue">(populated)</span> |
* Linear functions and their properties <span style="color:blue">(populated)</span> |
||
=== Unit 20 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 20 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file120|Problem set for this unit]] |
* Linear models |
* Linear models |
||
=== Unit 21 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 21 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file121|Problem set for this unit]] |
* Quadratic functions and their properties |
* Quadratic functions and their properties |
||
=== Unit 22 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 22 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file122|Problem set for this unit]] |
* Quadratic models from ‘word problems’ |
* Quadratic models from ‘word problems’ |
||
=== Unit 23 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 23 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file123|Problem set for this unit]] |
* Inequalities with quadratic functions Audrey |
* Inequalities with quadratic functions Audrey |
||
=== Unit 24 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 24 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file124|Problem set for this unit]] |
* Polynomial functions and models |
* Polynomial functions and models |
||
=== Unit 25 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 25 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file125|Problem set for this unit]] |
* Properties of rational functions? |
* Properties of rational functions? |
||
=== Unit 26 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 26 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file126|Problem set for this unit]] |
* Graph of a rational function? |
* Graph of a rational function? |
||
=== Unit 27 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 27 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file127|Problem set for this unit]] |
* Polynomial and Rational Inequalities: Audrey |
* Polynomial and Rational Inequalities: Audrey |
||
=== Unit 28 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 28 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file128|Problem set for this unit]] |
* Real zeros of polynomials |
* Real zeros of polynomials |
||
=== Unit 29 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 29 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file129|Problem set for this unit]] |
* Complex zeros, fundamental theorem of algebra |
* Complex zeros, fundamental theorem of algebra |
||
=== Unit 30 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 30 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
||
− | :[[ |
+ | :[[file130|Problem set for this unit]] |
* Composite functions |
* Composite functions |
||
=== Unit 31 - [[ModelCourses/CollegeAlgebra/MoreFunctions|More about Functions]] === |
=== Unit 31 - [[ModelCourses/CollegeAlgebra/MoreFunctions|More about Functions]] === |
||
− | :[[ |
+ | :[[file131|Problem set for this unit]] |
* One-to-one functions |
* One-to-one functions |
||
* Inverse functions |
* Inverse functions |
||
=== Unit 32 - [[ModelCourses/CollegeAlgebra/ConicSections|Conic sections]] === |
=== Unit 32 - [[ModelCourses/CollegeAlgebra/ConicSections|Conic sections]] === |
||
− | :[[ |
+ | :[[file132|Problem set for this unit]] |
* Conic sections |
* Conic sections |
||
Revision as of 09:00, 10 March 2013
Prep Main Page > Model Courses > College Algebra Model Course
Contents
- 1 Description
- 2 ToDo List
- 3 College Algebra Topics (Alex)
- 4 Review
- 5 College Algebra
- 5.1 Unit 1 - Linear Equations
- 5.2 Unit 2 - Quadratic Equations
- 5.3 Unit 3 - Quadratic Equations with Complex Roots
- 5.4 Unit 4 - equations with Quadratic form and Radicals
- 5.5 Unit 5 - Linear Equations
- 5.6 Unit 6 - Linear Equations
- 5.7 Unit 7 - Linear Equations
- 5.8 Unit 8 - Linear Equations
- 5.9 Unit 9 - Linear Equations
- 5.10 Unit 10 - Linear Equations
- 5.11 Unit 11 - Linear Equations
- 5.12 Unit 12 - Linear Equations
- 5.13 Unit 13 - Linear Equations
- 5.14 Unit 14 - Linear Equations
- 5.15 Unit 15 - Linear Equations
- 5.16 Unit 16 - Linear Equations
- 5.17 Unit 17 - Linear Equations
- 5.18 Unit 18 - Linear Equations
- 5.19 Unit 19 - Linear Equations
- 5.20 Unit 20 - Linear Equations
- 5.21 Unit 21 - Linear Equations
- 5.22 Unit 22 - Linear Equations
- 5.23 Unit 23 - Linear Equations
- 5.24 Unit 24 - Linear Equations
- 5.25 Unit 25 - Linear Equations
- 5.26 Unit 26 - Linear Equations
- 5.27 Unit 27 - Linear Equations
- 5.28 Unit 28 - Linear Equations
- 5.29 Unit 29 - Linear Equations
- 5.30 Unit 30 - Linear Equations
- 5.31 Unit 31 - More about Functions
- 5.32 Unit 32 - Conic sections
- 6 Other Model Courses
Description
Starting with one particular textbook we created a set of topics that are covered in a typical college algebra course. We have not organized these by chapters so that any person teaching from any textbook could use these in any order they needed. We then used the NPL to populate those topics with problems that exist. This led us to trying to decide how to combine some of those groups so that they would be more user friendly. We also started to write some problems to cover areas that are not covered or thinly covered by the NPL, as well as trying to get some sort of order of difficulty in the numbering. This will be an ongoing and evolving project as we have already had to revamp some of our original ideas.
ToDo List
College Algebra Topics (Alex)
Review
Unit 1 - Real numbers; essential algebra rules
- evaluate algebraic expressions
- domain of a variable
- laws of exponents
- square roots
- scientific notation
Unit 2 - Formulas
- Formulas
Unit 3 - Polynomials
- Polynomials
- Multiplication formulas
Unit 4 - Factoring polynomials
- Factoring polynomials
- Long division
Unit 5 - Synthetic Division
- Synthetic Division
Unit 6 - Rational Expressions
- Rational Expressions
Unit 7 - Roots and rational exponents
- Roots and rational exponents
College Algebra
Unit 1 - Linear Equations
- Linear equations (populated)
Unit 2 - Quadratic Equations
- Quadratic Equations (populated)
Unit 3 - Quadratic Equations with Complex Roots
- Complex numbers and quadratic equations (populated)
Unit 4 - equations with Quadratic form and Radicals
- Quadratic in form equations
- Factorable equations
- Equations with radicals (populated)
Unit 5 - Linear Equations
- Very simple inequalities, compound inequalities (populated, needs more)
Unit 6 - Linear Equations
- Absolute value equations and inequalities (populated)
Unit 7 - Linear Equations
- Word problems: interest, mixture, motion, constant rate jobs (populated)
Unit 8 - Linear Equations
- Coordinate system. Distance and midpoint formula (populated)
Unit 9 - Linear Equations
- Graphs of equations in two variables, intercepts, symmetry (populated)
Unit 10 - Linear Equations
- Lines
Unit 11 - Linear Equations
- Circles
Unit 12 - Linear Equations
- Variation (formulas for science laws, say)
Unit 13 - Linear Equations
- Functions
Unit 14 - Linear Equations
- Graph of functions
Unit 15 - Linear Equations
- Properties of functions
Unit 16 - Linear Equations
- Library of functions, piecewise-defined functions
Unit 17 - Linear Equations
- Graphing techniques, transformations
Unit 18 - Linear Equations
- Math models: building functions
Unit 19 - Linear Equations
- Linear functions and their properties (populated)
Unit 20 - Linear Equations
- Linear models
Unit 21 - Linear Equations
- Quadratic functions and their properties
Unit 22 - Linear Equations
- Quadratic models from ‘word problems’
Unit 23 - Linear Equations
- Inequalities with quadratic functions Audrey
Unit 24 - Linear Equations
- Polynomial functions and models
Unit 25 - Linear Equations
- Properties of rational functions?
Unit 26 - Linear Equations
- Graph of a rational function?
Unit 27 - Linear Equations
- Polynomial and Rational Inequalities: Audrey
Unit 28 - Linear Equations
- Real zeros of polynomials
Unit 29 - Linear Equations
- Complex zeros, fundamental theorem of algebra
Unit 30 - Linear Equations
- Composite functions
Unit 31 - More about Functions
- One-to-one functions
- Inverse functions
Unit 32 - Conic sections
- Conic sections