Objective: Students will be able to graph a line given its slope and a point
on the line.
Activity-Have
small groups of students draw a triangle with vertices on points with integer
coordinate values. Ask each group to draw its triangle so that it lies in at
least two quadrants. Then on a separate sheet of paper, the group writes the
equation for each of the segments that form the sides of the triangle. Collect
and display the triangle drawings, and have groups exchange equations. Each
group matches the given equation to a triangle on display.
Activity-Have students explain in their own words the two methods for finding
points on a line when you know the slope and another point on the line. (You can
write an equation and use it to find ordered pairs, or you can count units on
the graph using the slope.) Ask students to write the steps of each method in a
clear logical manner and to include examples and illustrations as necessary.
Activity-Ask students to explain how to find the slope of an escalator. They
should identify the measurements needed to calculate the slope. Then ask them to
estimate what the slope of an average escalator might be and to compare its
slope to that of an elevator.