Erica Reese, Math Instructor

Emma Willard School

Troy, NY

**Name:
_________________________
Due Date: ____________**

**Goals:**

**Day 1**: Identify parts of circles. Recognize major
arcs, minor arcs, semicircles, and central angles.
Find measures of arcs and central angles.

**Day 2**: Recognize
and
use relationships among arcs, chords, and diameters.

**Day 3**: Recognize
and find measures of inscribed angles.
Apply properties of inscribed figures.

**Day 4**: Recognize
tangents and use properties of tangents.

**Day 5**: Find
the
measures of angles formed by intersecting secant and tangents in
relation to
intercepted arcs.

**Day 6**: Use
properties of chords, secants, and tangents to solve segment measure
problems.

**C Layer – no more than 78 points
**

_______ **Day
1:** Choose Three (**4
pts/each)
**
means required**

a.
Listen to the lecture and take
notes.

b.
Complete
pg. 449, 450: 14-24, 29-36; pg. 456:
19-28, 34, 37-42 **

c.
Draw five
concentric
circles with radii of 1”, 2”, 3”, 4”, and 5”.
Measure the circumference of each circle using a string and a
ruler. Calculate the ratio of
circumference to diameter for each of the 5 circles.
See your teacher for the required materials.
Discuss your results with a partner.

d.
Complete
pg. 450: 40 (*Draw a picture*)

e.
Draw a
Venn diagram
that illustrates the relationship among congruent, similar, and
concentric
circles.

_______ **Day
2:** Choose Three (**4
pts/each)
**
means required**

a.
Listen to the lecture and take
notes.

b. Complete pg. 462, 463: 13-15, 17-27, 32-36 **

c.
Work with
a partner to
complete pg. 461: 4. See your teacher
for the required materials.

d.
Work with
a partner to
complete pg. 464: 45. See your teacher
for the required materials.

_______ **Day
3:** Choose Three (**4
pts/each)
**
means required**

a.
Listen to the lecture and take
notes.

b. Complete pg. 470, 471: 17-45 **

c.
Complete
pg. 472: 56 (*Draw a picture*)

d.
Suppose *ABCD*
is a trapezoid that has its
vertices on circle P, with *AB* || *CD*.
Write a 2-column proof to show that *ABCD*
is an isosceles trapezoid.

a.
Listen to the lecture and take
notes.

b.
Complete
pg. 479, 480:
17-30 (*Draw the figure on your paper*),
31-36, 38, 39 **

c.
Complete
pg. 478:
5. See your teacher for the required
materials.

d.
Complete
Practice 9-5.

e.
Work with
a partner to
complete pg. 481: 50 (*Draw the figure on
your paper*)

_______ **Day
5:** Choose Three **(5
pts/each)
** means required**

a.
Listen to the lecture and take
notes.

b. Complete pg. 487, 488: 14-32, 37-43 **

c.
Complete
pg. 489: 49 (*Draw a picture*)

d.
Complete
pg. 490: 50 (*Draw a picture*)

_______ **Day
6:** Choose Three **(4
pts/each)
** means required**

a.
Listen to the lecture and take
notes.

b. Complete pg. 495, 496: 14-26, 29, 30 **

c.
Draw one
figure for all
three theorems discussed in this lesson.
Write an equation for each theorem relating the measures of the
segments
in your figure. Check each equation by
measuring the segments involved in the equations and finding the
products. Discuss your results with a
partner.

d.
Complete
pg. 496: 36.

**B Layer – no more than 10 points
**

_______
1.
Complete “The Circumference/Diameter
Ratio” using *The Geometer’s Sketchpad.*

2.
Complete
“The Cycloid”
using *The Geometer’s Sketchpad.*

3.
Work with
a partner to
complete “Tilted Circles,” a *Cooperative
Learning Project* on pg. 509. See
your teacher for the required materials.
Prepare a presentation on your work.

**A Layer – no more than 10 points
**

_______
1.
Before it was discovered that Earth
revolved around the Sun, it was believed that the sun and all the
planets
revolved around Earth in perfect circular orbits. This
model was known as the Ptolemaic system. Read
about this model and draw a diagram of
the solar system according to Ptolemy.

2.
Go to www.phschool.com/math/awsm/geometry/geo.html
and complete two out of the three Super Lessons that are listed under
Chapter
8:

a.
Circles, Circumference, and Area

b.
Angles, Arcs, and Chords

c.
The Inscribed Angle Theorem

4.
*Cutting
Down on Waste*. You wish to
cut five discs out of a square piece of tin.
The discs can be any size. If
you want to use as much tin as possible, where should the discs be
located in
the square, and what should be their radii?
Explain how you have come to your conclusion.
Then, demonstrate your results by cutting comparable disks out
of
a square piece of cardboard or wood.

**Day 7:
Chapter 9 Review**

**Day 8:
Chapter 9 Test**