Objective: The student will be able to determine the slope of a line and use it to graph a parallel or perpendicular line through another point. Standard: CCSS.ELA-Literacy.RST.9-10.7 Translate quantitative or technical information expressed in words in a text into visual form (e.g., a table or chart) and translate information expressed visually or mathematically (e.g., in an equation) into words.
Model: Show the digital vocabulary story as a review and introduction to new material then break down the words
Morpheme
Math Usage
General Usage
Inter (between)
Intersect
Internal
Para (alongside)
Parallel
Paragraph
Per (through)
Perpendicular
Perpetrate
Reciproc (interchange)
Reciprocal
Reciprocate
Review prior knowledge:
Show the students how to find the slope of the line that passes through (-1,4) and (1,-2) and graph it.
Show that the difference in the y-coordinates is -2 – 4 = -6 and the difference in the x-coordinates is 1- (-1) = 2. So the slope is -6 / 2 = -3 Be sure to make it clear that that you start have to start from the same ordered pair with each subtraction. Graph the line by graphing the two ordered pairs. Check your line by using the slope to count down three spaces from and point then one space to the right
Start another problem. Given a point (-4,-3) and a slope of 2/3 graph the line.
Graph the ordered pair (-4,-3) then count up two spaces and to the right 3 spaces. Plot the new point and draw the line. Mention that you can also go down two spaces and to the left three spaces. Introduce new information:
Graph a line through (-1,3) that is parallel to the line with the equation x + 4y = -4
Start by graphing the x-intercept and the y-intercept as done in the previous lesson. Use these points to draw a line and see that the line drops one unit and goes left 4 units for a slope of -1/4. Plot the new point, (-1,3), and use the same slope to find a new point. Draw a line between these two points.
Use the same point and the same equation to draw a perpendicular line. Using the slope -1/4 notice that the slope of a perpendicular line is the opposite reciprocal. This gives us a slope of 4 for our perpendicular line. Plot the point (-1,3) and count four units up and one to the right. Use this new point to draw a line between the two.
Guided Practice: Students are to complete the Check for Understanding section on page 71 of their textbooks in groups while I walk around answering questions and probing for understanding.
Independent Practice: Students are to do #’s 15-35 odd on page 72 for homework
Assessment: Given the eleven problems for homework, students are expected to have correctly answered eight of them. Homework will be collected for a grade.
The student will be able to determine the slope of a line and use it to graph a parallel or perpendicular line through another point.
Standard:
CCSS.ELA-Literacy.RST.9-10.7 Translate quantitative or technical information expressed in words in a text into visual form (e.g., a table or chart) and translate information expressed visually or mathematically (e.g., in an equation) into words.
Model:
Show the digital vocabulary story as a review and introduction to new material then break down the words
- Show the students how to find the slope of the line that passes through (-1,4) and (1,-2) and graph it.
Show that the difference in the y-coordinates is -2 – 4 = -6 and the difference in the x-coordinates is 1- (-1) = 2. So the slope is -6 / 2 = -3Be sure to make it clear that that you start have to start from the same ordered pair with each subtraction.
Graph the line by graphing the two ordered pairs. Check your line by using the slope to count down three spaces from and point then one space to the right
- Start another problem. Given a point (-4,-3) and a slope of 2/3 graph the line.
Graph the ordered pair (-4,-3) then count up two spaces and to the right 3 spaces. Plot the new point and draw the line. Mention that you can also go down two spaces and to the left three spaces.Introduce new information:
- Graph a line through (-1,3) that is parallel to the line with the equation x + 4y = -4
Start by graphing the x-intercept and the y-intercept as done in the previous lesson. Use these points to draw a line and see that the line drops one unit and goes left 4 units for a slope of -1/4. Plot the new point, (-1,3), and use the same slope to find a new point. Draw a line between these two points.Guided Practice:
Students are to complete the Check for Understanding section on page 71 of their textbooks in groups while I walk around answering questions and probing for understanding.
Independent Practice:
Students are to do #’s 15-35 odd on page 72 for homework
Assessment:
Given the eleven problems for homework, students are expected to have correctly answered eight of them. Homework will be collected for a grade.