# | UPDATED WEB PAGE | ✓ IF USES JSXGRAPH |

| ALGEBRA I: | |

1. | Expressions versus Sentences | |

2. | Basic Addition Practice | |

3. | Multiplication | |

4. | Divisibility | |

5. | Basic Properties of Zero and One | |

6. | Mixed Basic Add/Subtract Multiply/Divide Practice | |

7. | Deciding if a Number is a Whole Number, Integer, etc. | |

8. | Addition of Signed Numbers | |

9. | Subtraction of Signed Numbers | |

10. | Mixed Addition and Subtraction of Signed Numbers | |

11. | Writing Fractions with a Denominator of 2 in Decimal Form | |

12. | Average of Two Signed Numbers | |

13. | Average of Signed Numbers | |

14. | Identifying Place Values | |

15. | Multiplying by Powers of Ten | |

16. | Changing Decimals to Fractions | |

17. | Multiplying and Dividing Decimals by Powers of Ten | |

18. | Changing Decimals to Percents | |

19. | Changing Percents to Decimals | |

20. | Introduction to Sets | |

21. | Interval and List Notation | |

22. | Introduction to Variables | |

23. | Reading Set Notation | |

24. | Going From a Sequence of Operations to an Expression | |

25. | Going From an Expression to a Sequence of Operations | |

26. | Solving Simple Sentences By Inspection | |

27. | Using Mathematical Conventions | |

28. | ‘Undoing’ a Sequence of Operations | |

29. | Solving for a Particular Variable | |

30. | Direct and Inverse Variation | |

31. | Scientific Notation | |

32. | Significant Figures | ✓ |

33. | Rewriting Fractions as a Whole Number plus a Fraction | |

34. | Locating Fractions on a Number Line | |

35. | Fractions Involving Zero | |

36. | Finding Reciprocals | |

37. | Determining if a Product is Positive or Negative | |

38. | Multiplying and Dividing Fractions | |

39. | Practice with the form a(b/c) | |

40. | More Practice with the Form a(b/c) | |

41. | Renaming Fractional Expressions | |

42. | Practice with Multiples | |

43. | Finding Least Common Multiples | |

44. | Renaming Fractions with a Specified Denominator | |

45. | Practice with Factors | |

46. | Adding and Subtracting Fractions | |

47. | Adding and Subtracting Simple Fractions With Variables | |

48. | Divisibility Equivalences | |

49. | Identifying Inequalities as True or False | |

50. | Bigger, Smaller, Greater, Lesser | |

51. | Practice with the phrases "at least" and "at most" | |

52. | Identifying Inequalities with Variables as True or False | |

53. | Solving Equations of the form $\,xy = 0\,$ | ✓ |

54. | Recognizing Zero and One | |

55. | Writing Fractions in Simplest Form | |

56. | Deciding if a Fraction is a Finite or Infinite Repeating Decimal | |

57. | Deciding if Numbers are Equal or Approximately Equal | |

58. | Rounding Decimals to a Specified Number of Places | |

59. | Tables of Unit Conversion Information (no MathJax) | |

60. | Classifying Units as Length, Time, Volume, Weight/Mass | |

61. | Practice with Unit Abbreviations | |

62. | Practice with Unit Names | |

63. | Practice with Unit Conversion Information | |

64. | One-Step Conversions | |

65. | Multi-Step Conversions | |

66. | Rate Problems | |

67. | Work Problems (MathJax not loaded via Javascript) | |

68. | Practice with Exponents | |

69. | Practice with Order of Operations | |

70. | Basic Exponent Practice with Fractions | |

71. | Practice with "Same Base, Things Multiplied, Add the Exponents" | |

72. | Practice with "Something to a Power to a Power, Multiply the Exponents" | |

73. | Practice with "Same Power, Divided, Subtract the Exponents" | |

74. | Practice with "Negative Power, Gives a Flip" | |

75. | One-Step Exponent Law Practice | |

76. | Multi-step Exponent Law Practice | |

77. | Practice With Radicals | |

78. | Approximating Radicals | |

79. | Writing Radicals in Rational Exponent Form | |

80. | Writing Rational Exponents as Radicals | |

81. | Practice with Rational Exponents | |

82. | Practice with $\,x\,$ and $\,-x\,$ | |

83. | Practice with Products of Signed Variables | |

84. | Practice with the Distributive Law | |

85. | Mental Math: Addition | |

86. | Don't Mix Up $\,3x\,$ versus $\,x^3\,$! | |

87. | Equal or Opposites? | |

88. | Recognizing the patterns $\,x^n\,$ and $\,(-x)^n\,$ | |

89. | Writing Expressions in the Form $\,kx^n\,$ | |

90. | Writing More Complicated Expressions in the Form $\,kx^n\,$ | |

91. | Writing Quite Complicated Expressions in the Form $\,kx^n\,$ | |

92. | Identifying Variable Parts and Coefficients of Terms | |

93. | Combining Like Terms | |

95. | Simplifying Expressions like $\,-a(3b - 2c - d)\,$ | |

96. | Basic FOIL | |

97. | More Complicated FOIL | |

98. | Simplifying $\,(a+b)^2\,$ and $\,(a-b)^2\,$ | |

99. | Simplifying Expressions like $\,(a - b)(c + d - e)\,$ | |

100. | Practice With the Mathematical Words "and", "or", "is equivalent to" | |

101. | Recognizing Products and Sums; Identifying Factors and Terms | |

102. | Identifying Common Factors | |

103. | Factoring Simple Expressions | |

104. | Listing All the Factors of a Whole Number | |

105. | Finding the Greatest Common Factor of 2 or 3 Numbers | |

106. | Finding the Greatest Common Factor of Variable Expressions | |

107. | Factoring out the Greatest Common Factor | |

108. | The Addition Property of Equality | |

109. | The Multiplication Property of Equality | |

110. | Solving Simple Linear Equations with Integer Coefficients | ✓ |

111. | Solving More Complicated Linear Equations with Integer Coefficients | ✓ |

112. | Solving Linear Equations Involving Fractions | ✓ |

113. | Solving Linear Equations, all mixed up | ✓ |

114. | Simple Word Problems resulting in Linear Equations | |

115. | Solving Simple Linear Inequalities with Integer Coefficients | ✓ |

116. | Solving Linear Inequalities with Integer Coefficients | ✓ |

117. | Solving Linear Inequalities Involving Fractions | ✓ |

118. | Solving Linear Inequalities, all mixed up | ✓ |

119. | Simplifying Basic Absolute Value Expressions | |

120. | Determining the Sign (positive or negative) of Absolute Value Expressions | |

121. | Solving Simple Absolute Value Sentences | ✓ |

122. | Solving Sentences Involving "Plus or Minus" | ✓ |

123. | Solving Absolute Value Equations | ✓ |

124. | Solving Absolute Value Inequalities Involving "Less Than" | ✓ |

125. | Solving Absolute Value Inequalities Involving "Greater Than" | ✓ |

126. | Solving Absolute Value Sentences, All Types | ✓ |

127. | Identifying Perfect Squares | |

128. | Writing Expressions in the form $\,A^2\,$ | |

129. | Factoring a Difference of Squares | |

130. | Solving Simple Equations Involving Perfect Squares | ✓ |

131. | Solving More Complicated Equations Involving Perfect Squares | ✓ |

132. | Translating Simple Mathematical Phrases | |

133. | Word Problems Involving Perfect Squares | |

134. | Basic Concepts Involved in Factoring Trinomials | |

135. | Factoring Trinomials (coefficient of x^2 term is 1, constant term is positive) | |

136. | Factoring Trinomials (coefficient of x^2 term is 1, constant term is negative) | |

137. | Factoring Trinomials, All Mixed Up | ✓ |

138. | Identifying Quadratic Equations | |

139. | Writing Quadratic Equations in Standard Form | |

140. | Solving Simple Quadratic Equations by Factoring | ✓ |

141. | Factoring Trinomials (coefficient of squared term is not 1) | ✓ |

142. | Solving More Complicated Quadratic Equations by Factoring | ✓ |

143. | Multiplying and Dividing Fractions with Variables | ✓ |

144. | Adding and Subtracting Fractions With Variables | |

145. | Writing expressions involving percent increase and decrease | |

146. | Calculating Percent Increase and Decrease | |

147. | Problems involving percent increase and decrease | |

148. | More Problems Involving Percent Increase and Decrease | |

149. | Locating Points in Quadrants and on Axes | |

150. | Practice With Points | |

151. | the Pythagorean Theorem | ✓ |

152. | the Distance Formula | |

153. | the Midpoint Formula | |

154. | Introduction to Equations and Inequalities in Two Variables | |

155. | Introduction to the Slope of a Line | |

156. | Practice With Slope | |

157. | Graphing Lines | |

158. | Finding Equations of Lines | |

159. | Point-Slope Form | |

160. | Horizontal and Vertical Lines | |

161. | Parallel and Perpendicular lines | |

162. | Introduction to Functions | |

163. | Introduction to Function Notation | |

164. | More Practice with Function Notation | |

165. | Domain and Range of a Function | |

| GEOMETRY: | |

166. | Introduction to Geometry: Points, Lines, and Planes | |

167. | Segments, Rays, Angles | |

168. | Introduction to Polygons | |

169. | Interior and Exterior Angles in Polygons | |

170. | Quadrilaterals | ✓ |

171. | "If ... Then ..." Sentences | |

172. | Contrapositive and Converse | |

173. | Proof Techniques | |

174. | Logical Equivalences and Practice with Truth Tables | |

175. | Applying Logical Equivalences to Algebraic and Geometric Statements | |

176. | Constructions | |

177. | Introduction to the Two-Column Proof | |

178. | the Pythagorean Theorem | ✓ |

179. | More Terminology for Segments and Angles | |

180. | Angles: Complementary, Supplementary, Vertical, and Linear Pairs | |

181. | Equivalence Relations | |

182. | Triangle Congruence | |

183. | Relationships Between Angles and Sides in Triangles | |

184. | Practice with Two-Column Proofs | |

185. | Is there an "SSA" Congruence Theorem? NO! | |

186. | More on Exterior Angles in Triangles | |

187. | Parallel Lines | |

188. | Parallelograms and Negating Sentences | |

189. | Introduction to Area and Perimeter | |

190. | Area Formulas: Triangle, Parallelogram, Trapezoid | ✓ |

191. | Similarity, Ratios, and Proportions | |

192. | Perimeters and Areas of Similar Polygons | |

193. | Two Special Triangles | ✓ |

| ALGEBRA II: | |

194. | Introduction to Recursion and Sequences | |

195. | Arithmetic and Geometric Sequences | |

196. | Loans and Investments | |

197. | Compound Interest Formula | |

198. | Graphs of Functions | |

199. | Basic Models You Must Know | |

200. | Graphical Interpretation of Sentences like $\,f(x)=0\,$ and $\,f(x)>0\,$ | |

201. | Graphical Interpretation of Sentences like $\,f(x)=g(x)\,$ and $\,f(x)>g(x)\,$ | |

202. | Composition of Functions | |

203. | Advanced Set Concepts | |

204. | Basic Probability Concepts | |

205. | More Probability Concepts | |

206. | Probability Tree Diagrams | ✓ |

207. | Choosing Things: Does Order Matter? | |

208. | Factorial Notation | |

209. | Combinations and Permutations | |

210. | Summation Notation | |

211. | Mean, Median, and Mode | |

212. | Measures of Spread | |

213. | Introduction to Systems of Equations | |

214. | Solving Systems Using Substitution | |

215. | Solving Systems Using Elimination | |

216. | Simple Word Problems resulting in a System of Equations | |

217. | Introduction to Matrices | |

218. | Basic Arithmetic With Matrices | |

219. | Multiplying Matrices | |

220. | Graphing Tools: Vertical and Horizontal Translations | |

221. | Graphing Tools: Vertical and Horizontal Scaling | |

222. | Graphing Tools: Reflections and the Absolute Value Transformation | |

223. | Graphical Transformations: All Mixed Up | |

224. | Parabolas | |

225. | Equations of Simple Parabolas | |

226. | Quadratic Functions and the Completing the Square Technique | |

227. | Algebraic Definition of Absolute Value | |

228. | The Quadratic Formula | |

229. | Complex Numbers | |

230. | Arithmetic with Complex Numbers | |

231. | Equations of Circles | |

232. | Introduction to Logarithms | |

233. | Properties of Logarithms | |

234. | Change of Base Formula for Logarithms | |

235. | Introduction to Logarithmic Functions | |

236. | Introduction to Exponential Functions | |

237. | Introduction to Polynomials | |

| PRECALCULUS: | |

238. | Prerequisites: Language of Mathematics Essentials | |

239. | Prerequisites: Function Review; Difference Quotients | |

240. | Solving Linear Inequalities in One Variable | ✓ |

241. | Solving Nonlinear Inequalities in One Variable (introduction) | |

242. | The Test Point Method for Sentences Like: $\,f(x) > 0\,$ | ✓ |

243. | The Test Point Method for Sentences Like: $\,f(x) > g(x)\,$ | ✓ |

244. | he Test Point Method in a Nutshell, and Additional Practice | |

245. | Absolute Value as Distance From Zero | ✓ |

246. | Absolute Value as Distance Between Two Numbers | ✓ |

247. | Circles and the Completing the Square Technique | ✓ |

248. | Review of Lines and Slopes of Lines | |

249. | Review of Coordinate Geometry: the Distance Formula, the Midpoint Formula | |

250. | Sketching Regions in the Coordinate Plane | ✓ |

251. | Testing Equations for Symmetry | ✓ |

252. | More on Difference Quotients | |

253. | Finding the Domain and Range of a Function | |

254. | Working with Linear Functions: Finding a New Point, Given a Point and a Slope | |

255. | Reading Information from the Graph of a Function | ✓ |

256. | Increasing and Decreasing Functions | |

257. | Basic Function Models You Must Know | ✓ |

258. | Piecewise-Defined Functions | |

259. | Direct and Inverse Variation | |

260. | Proportionality Problems | |

261. | What is the Graph of $\,y = f(x)\,$? | |

262. | Shifting Graphs Up/Down/Left/Right | |

263. | Horizontal and Vertical Stretching/Shrinking | |

264. | Reflecting About Axes, and the Absolute Value Transformation | |

265. | Multi-Step Practice with all the Graphical Transformations | |

266. | Even and Odd Functions | |

267. | Extreme Values of Functions (Max/Min) | ✓ |

268. | Review of Quadratic Functions: Vertex Form, Max/Min, Intercepts, More | |

269. | Max/Min Problems Resulting in Quadratic Functions | |

270. | Combining Functions to get New Functions | |

271. | Composition of Functions | |

272. | Writing a Function as a Composition | |

273. | Using a Function Box Backwards | |

274. | One-to-One Functions | |

275. | Undoing a One-to-One Function; Inverse Functions | |

276. | Properties of Inverse Functions | |

277. | Finding Inverse Functions (when there's only one x in the formula) | |

278. | Finding Inverse Functions (switch input/output names method) | |

279. | The Graph of an Inverse Function | |

280. | Introduction to Polynomials | |

281. | Relationship Between the Zeros (Roots) and Factors of Polynomials | |

282. | End Behavior of Polynomials | |

283. | Turning Points of Polynomials | |

284. | Long Division of Polynomials | |

285. | the Division Algorithm | |

286. | Synthetic Division | |

287. | the Remainder Theorem | |

288. | Trapping the Roots of a Polynomial | |

289. | Introduction to Complex Numbers | |

290. | Arithmetic with Complex Numbers | |

291. | The Square Root of a Negative Number | |

292. | The Complex Conjugate | |

293. | The Quadratic Formula Revisited; the Discriminant | |

294. | Multiplicity of Zeros and Graphical Consequences | |

295. | Discussion: Graphing Polynomials with Technology | |

296. | Solve an Equation? Find a Zero? Your Choice! | |

297. | the Fundamental Theorem of Algebra | |

298. | Polynomials with Real Number Coefficients | |

299. | Solving Polynomial Equations | |

300. | Introduction to Rational Functions | |

301. | Introduction to Asymptotes | |

302. | Introduction to Puncture Points (holes) | |

303. | Finding Vertical Asymptotes | |

304. | Puncture Points (holes) | |

305. | Finding Horizontal Asymptotes | |

306. | Finding Slant Asymptotes | |

307. | Exponential Functions: Review and Additional Properties | |

308. | Linear versus Exponential Functions | |

309. | Recognizing Linear and Exponential Behavior from Tables of Data | |

| CALCULUS: | |

310. | Average Rate of Change | ✓ |

311. | Introduction to Limits | ✓ |

312. | Basic Differentiation Shortcuts (differentiating constants and linear functions; the Simple Power Rule) | ✓ |

313. | Differentiation Formula Practice | |

314. | Mixed Differentiation Practice | |

315. | Mixed Differentiation Practice (strict parentheses version) | |

316. | Mixed Integration Practice | |