General Mathematics Unit 3 Lesson Materials

Unit 3 Lesson Links

Topic 1: Bivariate Data Analysis 1

• GM Lesson 147 Understanding Bivariate Data
• GM Lesson 148 Two Categorical Variables
• GM Lesson 149 Constructing Two-Way Frequency Tables
• GM Lesson 150 Row and Column Sums
• GM Lesson 151 Row Percentages
• GM Lesson 152 Column Percentages
• GM Lesson 153 Identifying Associations in Two-Way Tables
• GM Lesson 154 Describing Associations Between Categorical Variables
• GM Lesson 155 Explanatory and Response Variables
• GM Lesson 156 Constructing Scatterplots
• GM Lesson 157 Direction of Association
• GM Lesson 158 Form and Strength of Association
• GM Lesson 159 Pearson’s Correlation Coefficient
• GM Lesson 160 Coefficient of Determination
• GM Lesson 161 Connecting R and R2

Topic 2: Bivariate Data Analysis 2

• GM Lesson 162 Fitting a Least-Squares Line
• GM Lesson 163 Interpreting the Slope of a Fitted Line
• GM Lesson 164 Interpreting the Intercept of a Fitted Line
• GM Lesson 165 Calculating the Slope from Summary Statistics
• GM Lesson 166 Calculating the Intercept from Summary Statistics
• GM Lesson 167 Constructing Residuals
• GM Lesson 168 Residual Plots
• GM Lesson 169 Assessing Linear Model Fit
• GM Lesson 170 Interpolation
• GM Lesson 171 Extrapolation
• GM Lesson 172 Dangers of Extrapolation
• GM Lesson 173 Making Predictions with Linear Models
• GM Lesson 174 Association and Causation
• GM Lesson 175 Non-Causal Explanations
• GM Lesson 176 Analysing Associations in Practical Problems
• GM Lesson 177 Communicating Bivariate Data Findings
• GM Lesson 178 Understanding Time Series Data

Topic 3: Time Series Analysis

• GM Lesson 179 Constructing Time Series Plots
• GM Lesson 180 Describing Trend
• GM Lesson 181 Seasonality and Irregular Fluctuations
• GM Lesson 182 Simple Moving Averages
• GM Lesson 183 Median Moving Averages
• GM Lesson 184 Smoothing with Spreadsheets
• GM Lesson 185 Seasonal Patterns
• GM Lesson 186 Seasonal Indices
• GM Lesson 187 Deseasonalising Time Series Data
• GM Lesson 188 Long-Term Trend Lines
• GM Lesson 189 Forecasting with Time Series Models
• GM Lesson 190 Combining Trend and Seasonality
• GM Lesson 191 Spreadsheet Time Series Analysis
• GM Lesson 192 Practical Time Series Problems

Topic 4: Growth and Decay in Sequences

• GM Lesson 193 Recursion in Arithmetic Sequences
• GM Lesson 194 Arithmetic Sequences in Tables
• GM Lesson 195 Arithmetic Sequences as Graphs
• GM Lesson 196 The Rule for the nth Term of an Arithmetic Sequence
• GM Lesson 197 Finding the Common Difference and First Term
• GM Lesson 198 Linear Growth with Arithmetic Sequences
• GM Lesson 199 Linear Decay with Arithmetic Sequences
• GM Lesson 200 Arithmetic Sequence Applications
• GM Lesson 201 Recursion in Geometric Sequences
• GM Lesson 202 Geometric Sequences in Tables
• GM Lesson 203 Geometric Sequences as Graphs
• GM Lesson 204 The Rule for the nth Term of a Geometric Sequence
• GM Lesson 205 Geometric Growth
• GM Lesson 206 Geometric Decay
• GM Lesson 207 Comparing Arithmetic and Geometric Models

Topic 5: Earth Geometry and Time Zones

• GM Lesson 208 Great Circles
• GM Lesson 209 Latitude and Longitude
• GM Lesson 210 Locating Positions on Earth’s Surface
• GM Lesson 211 Angular Distance on a Meridian
• GM Lesson 212 Distance on the Same Meridian
• GM Lesson 213 Distance on the Same Parallel of Latitude
• GM Lesson 214 Practical Latitude and Longitude Problems
• GM Lesson 215 GMT, UTC and the International Date Line
• GM Lesson 216 Longitude and Time
• GM Lesson 217 Calculating Time Differences
• GM Lesson 218 Daylight Saving and Practical Time Zones
• GM Lesson 219 Mixed Earth Geometry and Time Zone Problems