Introduction to College Algebra
The coverage of topics in the course will be in the order below for the most part unless the average class progress requires us to make changes. After each ALEKS assessment, you may have to go back and re-earn earlier topics (in the learning mode) that you might loose in order to access the topics as scheduled below.
Week | Topics to be covered in each week | |
1 | Week of January 26^{th} Initial ALEKS Assessment Due Jan. 29^{th} Yellow Pie Pieces 24 Pie Pieces Quiz 1 (Topics 1-24) |
1. Plotting rational numbers on a
number line 2. Absolute value of a number 3. Operations with absolute value 4. Signed fractions addition 5. Signed fractions multiplication 6. Signed decimal addition 7. Evaluating expressions with exponents : Problem type 1 8. Evaluating expressions with exponents: Problem type 2 9. Evaluation of a linear expression in two variables 10. Evaluation of a polynomial in one variable 11. Exponents and order of operations 12. Square root of a perfect square 13. Integers and rational numbers 14. Rational and irrational numbers 15. Writing a mathematical expression 16. Translating sentences into mathematical equations 17. Writing an inequality 18. Writing a compound inequality 19. Distributive property, simple 20. Distributive Property, advanced 21. Combining like terms , basic 22. Combining like terms, advanced 23. Properties of addition 24. Properties of real numbers |
2 | Week of February 2^{nd}
Yellow Pie Pieces 45 Pie Pieces Quiz 2 (Topics 25–45) |
25. Additive property of equality:
Problem type 2 26. Additive property of equality: Problem type 3 27. Multiplicative property of equality with fractions 28. Multiplicative property of equality: Problem type 1 29. Multiplicative property of equality: Problem type 2 30. Solving a linear equation: Problem type 1 31. Solving a linear equation: Problem type 2 32. Solving a linear equation: Problem type 3 33. Solving a linear equation with several occurrences of the variable: Problem type 1 34. Solving a linear equation with several occurrences of the variable: Problem type 2 35. Solving a linear equation with several occurrences of the variable: Problem type 3 36. Solving a linear equation with several occurrences of the variable: Problem type 4 37. Solving a linear equation with several occurrences of the variable: Problem type 5 38. Introduction to algebraic symbol manipulation 39. Algebraic symbol manipulation 40. Solving a linear inequality: Problem type 1 41. Solving a linear inequality: Problem type 2 42. Solving a linear inequality: Problem type 3 43. Solving a linear inequality: Problem type 4 44. Graphing a linear inequality on the number line 45. Graphing a compound linear inequality on the number line |
3 | Week of February 9^{th}
Yellow Pie Pieces 68 Pie Pieces Quiz 3 (Topics 46-68) |
46. Solving a word problem using a
linear equation: Problem type 1 47. Solving a word problem using a linear equation: Problem type 2 48. Solving a word problem using a linear equation: Problem type 3 49. Solving a word problem using a linear equation: Problem type 4 50. Word problem with linear inequalities 51. Simple Interest 52. Word problem on percentage: Problem type 1 53. Word problem on percentage: Problem type 2 54. Word problem on percentage: Problem type 3 55. Finding the value for a new score that will yield a given mean 56. Perimeter of a square or a rectangle 57. Sides of polygons having the same perimeter 58. Area of a square or a rectangle 59. Finding the side length of a rectangle given its perimeter or area 60. Area and perimeter of a rectangle 61. Circumference and area of a circle 62. Simple absolute value equation 63. Solving an equation involving absolute value: Basic 64. Solving an equation involving absolute value: Advanced 65. Solving an inequality involving absolute value 66. Solving an inequality involving absolute value: Basic 67. Reading a point in the coordinate plane 68. Plotting a point in the coordinate plane |
4 | Week of February 16^{th}
87 Pie Pieces Quiz 4 (Topics 69-87) Dark Green Pie Pieces Practice |
69. Solutions to a linear equation in
two variables: Problem type 1 70. Solutions to a linear equation in two variables: Problem type 2 71. Graphing a line given the x- and y-intercepts 72. Graphing a line given its equation in slope-intercept form 73. Graphing a line given its equation in standard form 74. Graphing a line through a given point with a given slope 75. Determining the slope of a line given its graph 76. Graphing a vertical or horizontal line 77. X- and y-intercepts of a line given the equation in standard form 78. Finding the slope of a line given its equation 79. Writing an equation of a line given the slope and the y-intercept 80. Writing the equation of a line given the slope and a point on the line 81. Writing the equation of the line through two given points 82. Writing the equations of vertical and horizontal lines through a given point 83. Writing equations and drawing graphs to fit a narrative 84. Application problem with a linear function: Problem type 1 85. Application problem with a linear function: Problem type 2 86. Slopes of parallel lines and perpendicular lines: Problem type 1 87. Slopes of parallel lines and perpendicular lines: Problem type 2 |
5 | Week of February 23^{th} In-class Assessment #1 Based On ~ 87 Topics (or 41% of the Course) 98 Pie Pieces Quiz 5 (Topics 88-98) Week of March 2^{nd} Quiz 6 (Topics 99-113) Orange Pie Pieces Dark Purple Pie Pieces |
88. Graphing a linear
inequality in the plane: Problem type 1 89. Graphing a linear inequality in the plane: Problem type 2 90. Set builder notation 91. Union and intersection of finite sets 92. Set builder and interval notation 93. Union and intersection of intervals 94. Function tables 95. Graphing integer functions 96. Domain and range: Problem type 1 97. Domain and range: Problem type 2 98. Vertical line test 99. Classifying a
system of linear equations |
6 | ||
7 | Week of March 9^{th}
120 Pie Pieces Quiz 7 (Topics 114-134) Dark Purple Pie Pieces |
114. Writing a positive number
without a negative exponent 115. Writing a negative number without a negative exponent 116. Power rule: Negative exponents 117. Product rule of exponents in a multivariate monomial 118. Ordering numbers with positive exponents 119. Ordering numbers with negative exponents 120. Scientific notation with positive exponent 121. Scientific notation with negative exponent 122. Multiplying an dividing number written in scientific notation 123. Degree of a multivariate polynomial 124. Simplifying a polynomial expression 125. Multiplying two binomials 126. Squaring a binomial 127. Multiplying polynomials 128. Polynomial long division: Linear divisor 129. Polynomial long division: Quadratic divisor 130. Factoring a quadratic with leading coefficient 1 131. Factoring a quadratic with leading coefficient greater than 1 132. Factoring a quadratic polynomial in two variables 133. Factoring a perfect square 134. Factoring a product of a quadratic trinomial and a monomial |
8 | Week of March 16^{th}
133 Pie Pieces Dark Purple Pie Pieces Practice |
135. Finding the roots of a quadratic
equation with leading coefficient 1 136. Finding the roots of a quadratic equation with leading coefficient greater than 1 137. Solving a quadratic equation needing simplification 138. Solving equations written in factored form 139. Roots of a product of polynomials 140. Solving a word problem using a quadratic equation with rational roots 141. Writing a quadratic equation given the roots and the leading coefficient 142. Factoring a difference of squares 143. Factoring with repeated use of the difference of squares formula 144. Factoring a sum or difference of two cubes 145. Greatest common factor of two monomials 146. Least common multiple of two monomials 147. Factoring a multivariate polynomial by grouping: Problem type 1 148. Factoring a multivariate polynomial by grouping: Problem type 2 |
9 | Week of March 23^{rd} | Spring Break |
10 | Week of March 30^{th} April 7^{th} 142 Pie Pieces Quiz 9 (Topics 149-158) |
149. Multiplying rational
expressions: Problem type 1 150. Multiplying rational expressions: Problem type 2 151. Dividing rational expressions 152. Complex fraction : Problem type 1 153. Complex fraction: Problem type 2 154. Adding rational expressions with common denominator 155. Adding rational expressions 156. Adding rational expressions with different denominators 157. Adding and subtracting rational expressions: Problem type 1 158. Adding and subtracting rational expressions: Problem type 2 |
11 | Week of April 6^{th}
148 Pie Pieces Quiz 10 (Topics 159-168) Green Pie Pieces |
159. Ratio of multivariate
polynomials 160. Simplifying a ratio of polynomials: Problem type 1 161. Simplifying a ratio of polynomials: Problem type 2 162. Restriction on variable in a denominator 163. Solving a rational equation that simplifies to a linear equation: Problem type 1 164. Solving a rational equation that simplifies to a linear equation: Problem type 2 165. Solving a rational equation that simplifies to a linear equation: Problem type 3 166. Solving a rational equation that simplifies to a quadratic equation: Problem type1 167. Solving a rational equation that simplifies to a quadratic equation: Problem type2 168. Solving a rational equation that simplifies to a quadratic equation: Problem type3 |
12 | Week of April 13^{th}
152 Pie Pieces Quiz 11 (Topics 169-179) Light Green Pie Pieces Light Blue Pie Pieces |
169. Word problem on rates 170. Basic word problem on rates 171. Solving a proportion: Advanced 172. Word problem on proportions: Problem type 1 173. Word problem on proportions: Problem type 2 174. Word problem involving multiple rates 175. Square root of rational perfect square 176. Square root simplification 177. Square root of a perfect square monomial 178. Simplifying a radical expression: Problem type 1 179. Simplifying a radical expression: Problem type 2 180. Square root addition 181. Simplifying a sum of radical expressions 182. Square root multiplication |
13 | Week of April 20^{th}
158 Pie Pieces Quiz 12 (Topics 180-192) Light Blue Pie Pieces Practice Week of April 27 Based On ~ 192 Topics Quiz 13 (Topics 193-199) Light Blue Pie Pieces |
183. Simplifying a
product of radical expressions 184. Simplifying a product of radical expressions: Problem type 3 185. Simplifying a product of radical expressions using the distributive property 186. Rationalizing the denominator of a radical expression 187. Rationalizing the denominator of a radical expression using conjugates 188. Pythagorean Theorem 189. Solving an equation with radicals: Problem type 1 190. Solving an equation with radicals: Problem type 2 191. Solving an equation with radicals: Problem type 3 192. Solving an equation with radicals: Problem type 4
193. Cube root of an integer |
14 | ||
15 | Week of May 4^{th}
142 Pie Pieces Quiz 14 (Topics 200-210) Light Blue Pie Pieces Red Pie Pieces |
200. Rational exponents: Basic 201. Rational exponents: Negative exponents and fractional bases 202. Rational exponents: Powers of powers 203. Converting between radical form and exponent form 204. Solving an equation with positive rational exponent 205. Solving an equation with negative rational exponent 206. Completing the square 207. Solving a quadratic equation using the quadratic formula 208. Solving word problems with a quadratic formula with irrational roots 209. Midpoint of a line segment in the plane 210. Distance between two points in the plane |
16 | May 11^{th} | 1^{st} Attempt on Final Exam/Assessment |
HOW TO PURCHASE ALEKS LICENSE
To purchase the codes necessary for your entrance into ALEKS course
•click on the box marked “sign up now” and follow the on-screen instructions
(Course Code is below).
•when you are asked for a student access code purchase it on-line (choose under
Mathematics “one
semester $63”
•select the correct state and school “University of Wisconsin –Waukesha”, and
follow the directions on the
screen.
•Enter this course code T6TVU-XGCAU
When asked for your e-mail address, please enter it. This makes it easier to
find your password should you forget
it, and it allows your instructor to contact you more easily through the ALEKS
system. Should you have difficulty,
please contact your instructor.
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