Honors Geometry
Chapter 10: Circles
1
10.1 Circles and
Circumference
Objective:
-Identify and use pars of circles
-Solve problems involving the circumference of a circle
Circle consists of all points in a plane that are a given distance, called the radius
Honors Geometry
Chapter 8: Quadrilaterals
1
8.1 Angles of
Polygons
Objective:
-find the sum of the measures of the interior angles of a polygon
-find the sum of the exterior angles of a polygon
diagonals
n
Discovering Sum of
Interior Angles of a
Polygon
C
Honors Geometry
Chapter 7: Right Triangles and Trigonometry
1
7.1 Geometric
Mean
Objective:
-find the geometric mean between two numbers
(AgileMind Topic 15)
The geometric mean between two numbers is the square root of
their product. For two positive numb
Honors Geometry
Chapter 6: Proportions and Similarity
1
6.1 Proportions
ratio
Objective:
-write ratios
-use properties of proportions
A ratio is a comparison of two quantities. The ratio a to b, where b is not
a
zero, can be written as or a:b.
b
Examples
Honors Geometry
Chapter 5: Relationships in Triangles
1
Objective:
-Identify and use perpendicular bisectors and angle bisectors in a triangle
-Identify and use altitudes and medians in a triangle
5.1 Bisectors,
Medians and
Altitudes
Perpendicular bisecto
*ABSOLUTE VALUE EQUATIONS AND INEQUALITIES*
You learned how to find the absolute value of a number long ago. In this topic you
deepened your understanding of the absolute value function by exploring its graph. You
can think of the graph as pieces of two d
*SOLVING LINEAR INEQUALITIES*
The mathematical statement
is an example of a linear inequality in
one variable. You can use almost the same methods to solve such linear inequalities as
you use to solve linear equations:
Use a graph Make a table
Use algebra
*SOLVING LINEAR EQUATIONS*
*In the Overview you worked with a rule that described the cost of renting a car as a
function of the number of miles driven:
You knew the cost, $35.80,
but did not know the number of miles. When you substituted the cost into th
In this topic, you continued to use familiar
forms for the equation of a line to create
models for data that followed linear trends.
Slope-intercept form:
Point-slope form:
Standard form:
y = mx +
b
y - y1 =
m(x - x1)
Ax + By
=C
You also learned that ever
*MOVING BEYOND SLOPE AND Y-INTERCEPT*
You now know three different forms for a linear function rule.
Forms for the equation of a line
Standard form
Ax + By = C
Slope-intercept form y = mx + b
Point-slope form
y - y1 = m(x - x1)
Standard form can be useful
*UNDERSTANDING SLOPE AND Y-INTERCEPT*
In this topic, you learned about the slope and y-intercept of a linear function as you
explored the connections among
the constant rate of change of a linear function,
the slope of the line that is the graph of the fu
*EXPLORING RATE CHANGE IN OTHER SITUATIONS*
In this topic, you have continued to explore rate of change using both tables and graphs.
Looking closely at tables of data, you determined the rate of change for linear functions
by finding ratios of the differ
*EXPLORING RATE CHANGE IN MOTIONS*
In this topic, you learned how a skateboarder's movement in front of a motion detector
could help you understand the concept of rate. You learned that graphs can tell you
something about rate.
A constant rate of change i
*ANALYZING GRAPH*
The work of this topic, which is crucial to your success in mathematics, is learning to
understand how to analyze graphs and to use visualization to give you an understanding
of events that is deeper even than what you could see or have
*CONSTRUCTING GRAPHS*
You have learned that constructing an accurate and meaningful graph requires more than
just setting up a grid and plotting points.
Strive to create neutral graphs. Create graphs that portray
the meaning of the data accurately, and as
*OTHER PATTERNS*
In this lesson, you investigated two different kinds of nonlinear relationships: quadratic
relationships and exponential relationships.
Height Number of
in cubes faces painted
1
1
2
4
3
9
4
16
5
25
n
Number of iterations Upward triangles
*LINEAR PATTERNS*
In this activity, you investigated the relationship between the number of stories in a tower
of cubes and the number of cube faces you would paint on that tower.
The tower-painting problem
Number of stories
in the tower
Process column
Nu
*MULTIPLE REPRESENTATIONS IN THE REAL WORLD*
You saw Anthony represent the tile border problem in multiple ways. You learned from
this specific example that a concrete representation can help you visualize a problem.
*
Pool Side Length and
Borders
You kno
*VARIABLES AND FUNCTIONS*
In this topic you began your exploration of variables and functions.
A variable is some quantity that changes, or it can be the letter that represents the
changing quantity. A function exists when two variables have a dependent r
*LAWS OF EXPONENTS*
In this topic, you explored some of the laws of exponents. You built problems using
square markers to understand how the exponents worked, and then you used a calculator
to complete tables and look for patterns to confirm the results o
*RATIONAL NUMBERS*
As you investigated the problems in this topic, you refreshed your memory of positive
and negative rational numbers, including whole numbers, fractions and decimals. Let's
review each type of number:
Whole numbers are the natural number
A random sample of boarding school students was asked how
many eight-ounce servings of soda they had consumed on a
certain Sunday and how many hours of sleep they got that
night. Their responses are displayed in the scatterplot.
How would you describe the
Snakes and Ladders is a board game usually played by children. The Hasbro version, called Chutes and Ladders, shows children making various decisions,
then the consequences of that action. Good actions allow the player to climb a ladder and get closer to