HolcombMath

Monday, March 01, 2010

Algebra 2 (Class 58)

Lesson Title
3.1.5: What are the Connections

Overview
In the previous lessons students started an exponential-representations web. In this class students work to develop methods for finding a rule from a graph. As they find ways to write rules based on graphs, they will build a deeper understanding of exponential functions.
Textbook Sections

Vocabulary
interest
simple interest
compound interest

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Change is fundamental to understanding functions.
Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral).

Essential Question
How does it grow?
How is the rate written as a percent? As a decimal?
How is it the same or different?
What’s the difference between exponential growth and exponential decay?

Key Knowledge
Exponential growth is caused by a constant multiplication.

Key Skills
I can determine if a situation is appropriately represented by exponential decay.
I can represent exponential decay using multiple representations.
I can find an equation for an exponential function when given its graph.

Turn-In (#-1)
3-56 to 3-59

Handouts
No Handouts Posted

Assignment
3-60 to 3-61, 3-64 to 3-66
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Math 6 (Class 117)

Lesson Title
Investigation 4: Polygon Properties and Tiling

Overview
In the last class students began to explore how we might be able to use our new found fact that the sum of the interior angles of any triangle might help us confirm or refute our conjecture about the sum of the interior angles of a pentagon. In today’s class this exploration resumes.
Textbook Sections
Problem 4.1 (Txt. p.42) Relating Sides to Angles

Vocabulary
tiling
regular polygon
polygon
pentagon
hexagon
octagon
angle ruler
precisely
vertex

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Change is fundamental to understanding functions.
Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral).

Essential Question
Why do we compare contrast and classify objects?
How do decomposing and recomposing shapes help us build our understand of mathematics?

Key Knowledge
An angle can be measured with an angle ruler.

Key Skills
I can measure an angle with an angle ruler.
I can determine with shapes in the shape set can be used to make a tiling.
I can use facts about parallel lines to show that the sum of the interior angles of a triangle always add to 180˚

Turn-In (#-1)
No Homework

Handouts
No Handouts Posted

Assignment
Draw an 17-gon. Find the sum of its interior angles. Prove your answer is correct by “cutting” the shape into triangles.
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Math 7 (Class 117)

Lesson Title
Investigation 2: Similar Figures

Overview
In today’s class students explore what is meant by the term “odds” , use clues to infer the number of marbles that must be in box, and determine the probability of drawing a specific color.
Textbook Sections
Problem 2.2 (Txt. p.18) Nosing Around

Vocabulary
similar
corresponding sides
corresponding angles
segment
ratio
perimeter

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Change is fundamental to understanding functions.
Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral).

Essential Question
How can transformations be described mathematically?
How do different shapes compare to each other?
What is required for two shapes to be similar?

Key Knowledge
Certain properties of a shape are maintained when a shape is enlarged or reduced.

Key Skills
I can determine the odds of something happening.
I can use odds to determine probability.
I can use information to make inferences.

Turn-In (#-1)
No Homework

Handouts
No Handouts Posted

Assignment
No Homework
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.