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 1-24 24 Pie Pieces Due by Tuesday Feb. 2^nd , 9:00am Quiz 1 (Topics 1-24) Due Tuesday Feb. 2^nd 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 2^nd Yellow Pie Pieces 25-45 45 Pie Pieces Due Monday Feb. 9^th, Quiz 2 (Topics 25–45) Due Tuesday Feb. 10^th 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 9^th Yellow Pie Pieces 46-66 Dark Green Pie Pieces 67-68 68 Pie Pieces Due Monday Feb. 16^th, Quiz 3 (Topics 46-68) Due Tuesday Feb. 17^th 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 16^th 87 Pie Pieces Due Monday Feb. 23^rd Quiz 4 (Topics 69-87) Due Feb 24^th 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 23^th In-class Assessment #1 Based On ~ 87 Topics (or 41% of the Course) 98 Pie Pieces Due Monday March 2^nd Quiz 5 (Topics 88-98) Due March 3^rd Dark Green Pie Pieces 88-98 Week of March 2^nd 101 Pie Pieces Due Monday March 9^th Quiz 6 (Topics 99-113) Due March 10^th 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
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7	Week of March 9^th 120 Pie Pieces Due Monday March 16^th Quiz 7 (Topics 114-134) Due March 17^th 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 16^th 133 Pie Pieces Due Monday March 23^rd Quiz 8 (Topics 135-148) Due March 24^th 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 23^rd	Spring Break
10	Week of March 30^th April 7^th 142 Pie Pieces Due Monday April 6^th In-Class Assessment #2 Based On ~ 148 Topics (or 70% of the Course) Quiz 9 (Topics 149-158) Due April 7^th 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 6^th 148 Pie Pieces Due Monday April 13^th Quiz 10 (Topics 159-168) Due April 14^th 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 13^th 152 Pie Pieces Due Monday April 20^th Quiz 11 (Topics 169-179) Due April 21^st 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 20^th 158 Pie Pieces Due Monday April 27^th Quiz 12 (Topics 180-192) Due April 29^th 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 4^th Based On ~ 192 Topics (or 91% of the Course) Quiz 13 (Topics 193-199) Due May 5^th 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
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15	Week of May 4^th 142 Pie Pieces Due Monday May 11^th Quiz 14 (Topics 200-210) Due May 11^th 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 11^th	1^st Attempt on Final Exam/Assessment

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