Teaching Algebra with Manipulatives

NAME ______________________________________________ DATE
Algebra Activity
(Use with Algebra 1, Lesson 5-6)
____________ PERIOD ____
Slopes of Parallel and Perpendicular Lines
Materials:
tracing paper,
scissors
Figure 1 Figure 2
y
Activity 1
Parallel Lines
Collect the Data
1. Trace Figure 1 on tracing paper and cut it out.
2. Place parallel lines a and b on the coordinate graph in three different
positions. For each position, record the slope and y-intercept of lines a
and b in the chart below.
Analyze the Data
3. What similarities do you find between lines a and b?
a
4. Write an equation for each line using the slope-intercept form.
1
2
3
b
Slope of y-intercept Slope of y-intercept Equation Equation
line c of line c line d of line d of line c of line d
Activity 2
Perpendicular Lines
Collect the Data
5. Trace Figure 2 on tracing paper and cut it out.
6. Place perpendicular lines c and d on the coordinate graph in three
different positions. For each position, record the slope and y-intercept of
lines c and d in the chart below.
Analyze the Data
7. What similarities do you find between lines c and d?
8. Write an equation for each line using the slope-intercept form.
1
2
3
Slope of y-intercept Slope of y-intercept Equation Equation
line a of line a line b of line b of line a of line b
c
O
d
O
x
© Glencoe/McGraw-Hill 102 Teaching Algebra with Manipulatives