III.MeetingObjectives
- Students will use what they have learned about slope to determine the rise and run of the ramp.
- Students will demonstrate an understanding of how the slope of a line impacts the rise and run of the line.
IV.NotesonAssessment
- Examine student work.
- Is the rise and run of the ramp accurate?
- According to the slope of 121 , the rise is 3.5 ft and the run is 42 inches.
- Is this drawn accurately?
- Is it graphed correctly on the coordinate grid?
- Allow time for students to share their work and offer feedback and correction when necessary.
Equations of Lines
I.SectionObjectives
- Identify and write equations in slope- intercept form.
- Identify equations of parallel lines.
- Identify equations of perpendicular lines.
- Identify and write equations in standard form.
II.ProblemSolvingActivity-TheParkPath
- To work on this problem, students are going to be designing a path for a park using Parallel and Perpendicular
Lines. - Here is the problem:
- “Maria is on a team that is designing paths through a local park. The team has cleared some of the brush and
has created one path through the park. Here is the path graphed on the coordinate grid.” - Figure03.05.01
- “The equation for this path isy= 3 x+2.”
- “The team needs to draw in two more paths. The first one will be parallel to this one, and the next one will be
perpendicular to this one.” - “Use what you have learned to draw these three paths on a coordinate grid. Use your problem solving skills
to name the equation of each line. Be sure to write your equations in slope- intercept form.”
III.MeetingObjectives
- Students will write equations in slope- intercept form.
- Students will identify the equations of parallel lines.
- Students will identify the equations of perpendicular lines.
- Students will graph these lines on the coordinate grid.
IV.NotesonAssessment
- The line parallel toy= 3 x+2 can be several different things. The key is that it must have the same slope. As
long as the line has the same slope, then it is parallel to this first line. - The perpendicular line must have a slope that is the reciprocal of the^31. Therefore, any line with a slope of^13
will be perpendicular to this first line. - Allow time for student questions.
- Check student work for accuracy.
5.3. Parallel and Perpendicular Lines