Teaching Algebra with Manipulatives

Conic Sections
NAME ______________________________________________ DATE ____________ PERIOD ____
Algebra Activity
(Use with Algebra 2, Lesson 8-6)
Complete the activity below.
Trace the following conic sections onto clear acetate.
Include the axes in your sketch.
Major
Axis
Transverse
Axis
1. Mark coordinate axes on 1 -inch grid paper.
4
2. Place the ellipse with its center at the given point and its axis as
indicated and complete the table below.
a.
b.
c.
d.
e.
f.
Length of
Center Major Axis Major Axis Vertices Equation
(0, 0) x-axis
(0, 0) y-axis
(0, 2) horizontal
(0, 4) vertical
(2, 3) horizontal
(1, 4)
vertical
3. Place the hyperbola with its center at the given point and its axis as
indicated. Complete the table.
a.
b.
c.
d.
e.
f.
Center Transverse Axis Vertices Asymptotes Equation
(0, 0) x-axis
(0, 0) y-axis
(3, 0) horizontal
(0, 4) vertical
(2, 3) horizontal
(1, 4) vertical
Algebra 2—Chapter 8
© Glencoe/McGraw-Hill 269 Teaching Algebra with Manipulatives