HolcombMath

Monday, November 30, 2009

Algebra 2 (Class 37)

Lesson Title
2.1.8 What is the rule?

Overview
In this lesson students continue to develop their understanding of sequences as they learn to write rules for sequences that begin with terms that are different form the initial value, or the 0th term.
Textbook Sections
2.1.8 (Txt. p.89) What is the rule?

Vocabulary
input
output
relation
function
dependent variable
independent variable
parameters
linear relationship
subscript
exponential relationship
discrete
continuous
sequence
initial value
term
arithmetic sequence
geometric sequence
common difference
common ratio
slope
rise/run
rate

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 a sequence of numbers be represented?
How can you determine the ”sequence generating machine”?

Key Knowledge
Rules to describe arithmetic and geometric sequences can be determined by examining their initial values and the constant difference or constant factor.

Key Skills
I can determine if a sequence is geometric or arithmetic.
I can find an algebraic rule for describing the value of any term of a arithmetic or geometric sequence even if I do not have the initial value.

Turn-In (#-1)
2-84 to 2-88

Handouts
No Handouts Posted

Assignment
2-89 to 2-91; 2-95 to 2-100
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 73)

Lesson Title
Investigation 3- Analyzing Graphs and Tables

Overview
In today’s class students continue to explore graphs relating distance and time.
Textbook Sections
Problem 3.1 (Txt. p.37) Renting Bicycles

Vocabulary
coordinate graph
quadrant
axis
axes
x-axis
y-axis
coordinates
ordered pair
origin
vertical
horizontal
plot
scale
vertices
coordinate geometry
polygon
quadrilateral
parallelogram
rhombus
annotate
rate of change
positive rate of change
negative rate of change
average rate of change
per
speed
speedometer
acceleration
distance-time graph
speed-time graph
continuous
discrete
area
definite integral

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 change be described mathematically?
How are patterns of change related to the behavior of functions?
How do mathematical models/representations shape our understanding of mathematics?
How can change be described mathematically?
How are patterns of change related to the behavior of functions?
How do mathematical models/representations shape our understanding of mathematics?

Key Knowledge
How can graphs and tables be used to make a decision?

Key Skills
I can use a table of values or a graph to help make a decision.
I can use a graph comparing speed and time to find the distance traveled.

Turn-In (#-1)
No Homework

Handouts
No Handouts Posted

Assignment
Distance Traveled 2, #10: talk with someone who is not in the class and find out what they think should be the distance traveled for the interval 8 to 9.
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 73)

Lesson Title
Investigation 4: Coordinate Graphs

Overview
In today’s class students examine the data they graphed comparing arm span to height in order to decide if the data confirms or refutes their hypothesis that taller people have longer arm spans.
Textbook Sections
Problem 4.1 (Txt. p.42) Coordinate Graphs

Vocabulary
typical
variable
frequency
frequently
table
line plot
bar graph
axis
scale
bell shaped
clustered/ grouped
range
mode
median
numerical data
categorical data
tally
tally marks
Intervals
Stem and Leaf Plot
ones digit
tens digit
vertical
horizontal
axis
x-axis
y-axis
coordinate graph
variable
units
hypothesis
research question
organize
digits

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
What relationship(s) exist between two sets of data?
What techniques can I use to investigate relationships between two sets of data?
What makes a data representation useful?

Key Knowledge
Coordinate graphs are one tool for investigating the relationship between two sets of data.

Key Skills
I can work with my class to collect data.
I can use a meter stick to measure a person’s arm span and their height.
I can organize data using a table.
I can create a properly labeled coordinate graph.
I can draw a line through the points which represent a person’s height is equal to a person’s arm span.
I can explain the meaning of data which lies on, below, or above the line drawn through the points where the arm span of a person is equal to the height of the person.

Turn-In (#-1)
ACE p. 47 #3

Handouts
No Handouts Posted

Assignment
ACE p.47 #3
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.