1 Data collection
The teacher will give the students a paper helicopter template to give to the students along with a data table to record their finding.
Students will drop their helicopter from 15 different pre-marked heights and record the time it takes for the helicopter to reach the ground.
2 Insert Data into Desmos
The instructor will ask the students to insert their data into the Desmos activity and answer various questions regarding linear regression.
3 Linear Regression Assumptions
The instructor will talk to the students about the assumptions that must be met in order for a regression model to be appropriately used.
4 Exit Ticket
The instructor will ask the students to complete a problem out of the book which refers to linear regression and the associated assumptions. This problem will be completed in class and will be turned in as the students leave.
Key Standards Supported
Linear, Quadratic, And Exponential Models
Distinguish between situations that can be modeled with linear functions and with exponential functions.
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
For exponential models, express as a logarithm the solution to abct =dwherea,c,anddarenumbersandthebasebis2,10,ore; evaluate the logarithm using technology.
Interpret the parameters in a linear or exponential function in terms of a context.