HolcombMath

Friday, October 30, 2009

Math 6 (Class 53)

Lesson Title
Investigation 1: Organizing Your Data

Overview
In today’s class work Quiz 7 focusing on the last unit, Prime Time. This is our last quiz for that unit.
Textbook Sections
Problem 1.4 (Txt. p.11) Identifying the Median

Vocabulary
typical
variable
frequency
line plot
bar graph
axis
scale
bell shaped
clustered/ grouped
range
mode
median

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 is average?
What makes a data representation useful?

Key Knowledge
The median is a measure of the center of a set of data.
The median is a type of average.
The median is found by organizing the data in sequential order then finding the “middle” value.

Key Skills
I can explain what a median is.
I can find the median of a set of data.

Turn-In (#-1)
ACE p.15 #7 (Note: It does not ask you to actually make a list of names!)

Handouts
No Handouts Posted

Assignment
No Homework (However, ACE p. 18 #15 is due Tuesday)
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.

IB Math HL (Class 27)

Lesson Title
Lesson 10: A Formula for Derivatives (1)

Overview
In today’s class students begin to develop shortcuts for finding an equation for the derivative function when given a function.
Textbook Sections

Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative

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 an equation for the derivative of a function be create?

Key Knowledge
An equation for the derivative a function can be created by generalizing the process of finding the slope between two points.

Key Skills
I can use the difference quotient to find an equation for the derivative of a function.
I can use the power rule to find the derivative of a function.

Turn-In (#-1)
Finish Lesson 9
WS 6 #1
IA

Handouts
No Handouts Posted

Assignment
IA
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 53)

Lesson Title
Investigation 1: Variables and Coordinate Graphs

Overview
In today’s class students create a graph to represent how the number of daylight hours change as a function of the month. In addition, they write the final quiz focusing on operations with integers.
Textbook Sections
Problem 1.1 (Txt. p.5): Preparing for a Bicycle Tour

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

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?

Key Knowledge
A table of values can be used to organize and analyze data.
A table of values, or a coordinate graph, need to be setup properly in order to be understood.

Key Skills
I can setup a coordinate graph: numbers (scale), unit names, variable names, title
I can collect and organize data for an experiment.
I can organize the data I collect using a properly labeled table.
I can plot data I have collected on a coordinate graph.

Turn-In (#-1)
ACE p. 11 #3, 7

Handouts
No Handouts Posted

Assignment
No homework (However-- ACE p.15 #8 is due Tuesday)
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.

IB Math SL (Class 27)

Lesson Title
Lesson for PS 7: The Derivative Function (3)

Overview
In today’s class students work to deepen their understanding of a derivative function.

Derivative Function 1
Derivative matching game
Derivative Functions 2
Sketching a Derivative Video
Sketching a Derivative Function Practice

Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative

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 function be created to represent the derivatives of another function?

Key Knowledge
For any differentiable function f(x), a slope (derivative) can be found for any value of x.
A function can be created using the derivatives (slopes) of another function.
A derivative function is positive on the intervals where the original function is increasing-- in other words, where the slope of the original function is positive.
A derivative function is negative on the intervals where the original function is decreasing-- in other words, where the slope of the original function is negative.
A derivative function is zero on the intervals where the original function is remaining constant-- in other words, where the slope of the original function is zero.
A function can be created using the derivatives (slopes) of another function.

Key Skills
I can match a derivative and a function.
I can sketch the graph of the derivative of a function.

Turn-In (#-1)
Finish PS 7 #4, 5
Continue with IA

Handouts
No Handouts Posted

Assignment
PS 7 #TBA
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.