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 26th

Initial ALEKS Assessment
Due Jan. 29th

Yellow Pie Pieces
1-24

24 Pie Pieces
 Due by Tuesday Feb. 2nd ,
9:00am

Quiz 1 (Topics 1-24)
Due Tuesday Feb. 2nd
Midnight

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 2nd

Yellow Pie Pieces
25-45

45 Pie Pieces
Due Monday Feb. 9th,

Quiz 2 (Topics 25–45)
Due Tuesday Feb. 10th
Midnight

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 9th

Yellow Pie Pieces
46-66
Dark Green Pie Pieces
67-68

68 Pie Pieces
Due Monday Feb. 16th,

Quiz 3 (Topics 46-68)
Due Tuesday Feb. 17th
Midnight

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 16th

87 Pie Pieces
Due Monday Feb. 23rd

Quiz 4 (Topics 69-87)
Due Feb 24th
Midnight

Dark Green Pie Pieces
69-87

Practice
Exam/Assessment #1

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 23th
In-class Assessment #1
Based On ~ 87 Topics
(or 41% of the Course)

98 Pie Pieces
Due Monday March 2nd

Quiz 5 (Topics 88-98)
Due March 3rd
Dark Green Pie Pieces
88-98

Week of March 2nd

101 Pie Pieces
Due Monday March 9th

Quiz 6 (Topics 99-113)
Due March 10th
Midnight

Orange Pie Pieces
99-109

Dark Purple Pie Pieces
110-113

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
100. Solving a system of linear equations
101. Creating an inconsistent system of linear equations
102. Interpreting the graphs of two functions
103. Graphing a system of linear inequalities
104. Solving a word problem using a system of linear equations: Problem type 1
105. Solving a word problem using a system of linear equations: Problem type 2
106. Solving a word problem using a system of linear equations: Problem type 3
107. Solving a word problem using a system of linear equations: Problem type 4
108. Solving a word problem using a system of linear equations: Problem type 5
109. Solving a word problem using a system of linear inequalities
110. Product rule of exponents
111. Multiplying monomials
112. Quotients of expressions involving exponents
113. Power rule: Positive exponents

6
7 Week of March 9th

120 Pie Pieces
Due Monday March 16th

Quiz 7 (Topics 114-134)
Due March 17th
Midnight

Dark Purple Pie Pieces
114-134

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 16th

133 Pie Pieces
Due Monday March 23rd

Quiz 8 (Topics 135-148)
Due March 24th
Midnight

Dark Purple Pie Pieces
135-148

Practice
Exam/Assessment #2

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 23rd Spring Break
10 Week of March 30th
April 7th

142 Pie Pieces
Due Monday April 6th

In-Class Assessment #2
Based On ~ 148 Topics
(or 70% of the Course)

Quiz 9 (Topics 149-158)
Due April 7th
Midnight

Light Green Pie Pieces
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 6th

148 Pie Pieces
Due Monday April 13th

Quiz 10 (Topics 159-168)
Due April 14th
Midnight Light

Green Pie Pieces
159-168

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 13th

152 Pie Pieces
Due Monday April 20th

Quiz 11 (Topics 169-179)
Due April 21st
Midnight

Light Green Pie Pieces
169-174

Light Blue Pie Pieces
175-179

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 20th

158 Pie Pieces
Due Monday April 27th

Quiz 12 (Topics 180-192)
Due April 29th
Midnight

Light Blue Pie Pieces
180-192

Practice
Exam/Assessment #3

Week of April 27
In-Class Assessment #3

163 Pie Pieces
Due Monday May 4th

Based On ~ 192 Topics
(or 91% of the Course)

Quiz 13 (Topics 193-199)
Due May 5th
Midnight

Light Blue Pie Pieces
193-199

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
194. Simplifying a higher radical: Problem type 1
195. Simplifying a higher radical: Problem type 2
196. Even root property
197. Odd root property
198. Solving an equation with exponent using the even-root property
199. Solving an equation with exponent using the odd-root property

14
15 Week of May 4th

142 Pie Pieces
Due Monday May 11th

Quiz 14 (Topics 200-210)
Due May 11th
Midnight

Light Blue Pie Pieces
200-208

Red Pie Pieces
209-210

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 11th 1st 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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