Lesson 3: Lines
Duration of Days: 4
Lesson Objective
Know:
Different forms of equations of lines and their graphs
Do:
Write equations of lines in different forms. Calculate slopes given points and equations of lines.
How do you calculate the slope of a line in the coordinate plane?
How do you write the equation of a line given two points?
How do you write the equations of lines that are parallel/perpendicular to a given line?
Linear Equation,
Slope,
Rise,
Run,
Slope of a line,
Rate of Change,
Point-Slope form,
Slope-Intercept form,
Vertical and Horizontal lines,
Parallel,
Perpendicular
F.IF.4 - For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
S.ID.7 - Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
Graph, write, and analyze linear functions and their key features.
Calculate and analyze slope as rate of change.
DOK 1-3
Page 161, #74 Jason and Debbie leave Detroit at 2:00 P.M. and drive at a constant speed, traveling west on I-90. They pass Ann Arbor, 40 miles from Detroit, at 2:50 P.M. Express the distance traveled in terms of the time elapsed.
For advanced students, introduce more complex application problems.
Show visual representations of positive vs negative slope in the real world.
Offer extra practice problems to develop better understanding for students who are struggling.
Use graphing calculator and online tools to visualize the lines and calculate their slope.
Exit Tickets and Quizzes
Textbook: Algebra and Trigonometry by Stewart, Redlin, and Watson