The student uses properties and attributes of functions and applies functions to problem situations. Clarifying Activity Students collect data, making pendulums by tying a small weight to one end of a 36-inch string. To measure the period of the pendulum, students hold the other end of the string, extend the string, raise the weight, and release. Students repeat this process using 6 to 8 different lengths and record the results, organized in a table. For example, string length period Students make a scatter plot and determine the curve of best fit.
Students use their findings to predict the period of the pendulum for any given string length.
Then they make the pendulum to test their prediction. The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills to simplify algebraic expressions and solve equations and inequalities in problem situations. Clarifying Activity Students use matrices to transform and solve equations. To predict fuel usage for new delivery routes, Express Delivery conducted a study of the fuel usage of one typical truck. Use the information shown in the table below to find the rates of fuel usage for rush hour driving, city street driving, and freeway driving.