HolcombMath

Wednesday, March 31, 2010

Algebra 2 (Calss 69)

Lesson Title
4.1.1 How can an equation help me predict?

Overview
In today’s class students continue working to bring closure to the previous chapter as well as continue with their work learning how an equation can help make predictions.
Textbook Sections
4.1.1 (Txt. p.165) How can an equation help me predict?

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?
How can I find an equation for an exponential situation?

Key Knowledge
Exponential growth is caused by a constant multiplication.

Key Skills
I can find an equation for an exponential function when given a graph, a table, or a situation.
I can use what I have learned about exponential functions to conduct an investigation into the depreciation of cars.

Turn-In (#-1)
3-133 to 3-138

Handouts
No Handouts Posted

Assignment
3-139 to 3-142
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.

Tuesday, March 30, 2010

HL (Class 69)

Lesson Title
Lesson 24: Up, or Down, the Slope (1)

Overview
In today’s class students finish up their initial work on anti-derivatives and are introduced to differential equations.
Textbook Sections

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

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 an antiderivative?
How do I find an antiderivative from a graph?
How do I find an antiderivative from an equation?
What is meant by the terms “implicit” and “explicit” in general and in terms of equations?

Key Knowledge
If the function g(x) is the derivative of some function f(x), then f(x) is the antiderivative of g(x).
There are an infinitely many antiderivatives of a given function.
Finding the antiderivative of a function.

Key Skills
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.
I can explain what a differential equation is.
I can solve separable differential equations.
I can solve an initial value problem.

Turn-In (#-1)
PS 22, PS 23

Handouts
No Handouts Posted

Assignment
PS 23, PS 24
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 138)

Lesson Title
Investigation 0: What do you know about fractions?

Overview
In today’s lesson students continue to explore what they currently know about fractions.
Textbook Sections
N/A

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
What are fractions and how do I work with them?

Key Knowledge
Meaning of a denominator and a numerator

Key Skills
I can find combinations of fractions whose sum is approximately equal to a given value.

Turn-In (#-1)
ACE p.69 #8, 10
Quiz Corrections (Due Wed.)

Handouts
No Handouts Posted

Assignment
ACE p.69 #12, 13, 14
Quiz Corrections
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 138)

Lesson Title
Investigation 4: Using Similarity

Overview
In today’s class students explore how to represent finding fractions of fractions using drawings.
Textbook Sections
Problem 4.3 (Txt. p.44) Making Copies

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 do different shapes compare to each other?
What is required for two shapes to be similar?

Key Knowledge
If shapes are similar, then scale factor between corresponding sides is constant.

Key Skills
I can determine if it is possible to enlarge an advertisement to fit a given set of dimensions.

Turn-In (#-1)
ACE p.47 #3, 4
Enlarge your add
Quiz Corrections (Due Wed.)

Handouts
No Handouts Posted

Assignment
Fraction Practice 2
Quiz Corrections

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.

Sl (Class 69)

Lesson Title
Lesson 23: Antiderivatives (3)

Overview
In today’s class students continue their work with antiderivatives and then begin to put antiderivatives to work.
Textbook Sections

Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
difference quotient
derivative from first principals

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 an antiderivative?
How do I find an antiderivative from a graph?
How do I find an antiderivative from an equation?

Key Knowledge
If the function g(x) is the derivative of some function f(x), then f(x) is the antiderivative of g(x).
There are an infinitely many antiderivatives of a given function.

Key Skills
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.

Turn-In (#-1)
PS 19, PS 23

Handouts
No Handouts Posted

Assignment
PS 23
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.

Monday, March 29, 2010

Math 7 (Class 137)

Lesson Title
Investigation 4: Using Similarity

Overview
In today’s class students investigate enlarging and reducing using a photocopy machine.
Textbook Sections
Problem 4.3 (Txt. p.44) Making Copies

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 do different shapes compare to each other?
What is required for two shapes to be similar?

Key Knowledge
If shapes are similar, then scale factor between corresponding sides is constant.

Key Skills
I can determine if it is possible to enlarge an advertisement to fit a given set of dimensions.

Turn-In (#-1)
Enlarge your add.

Handouts
No Handouts Posted

Assignment
Enlarge your add
Quiz Corrections (Due Wed.)
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.

Algebra 2 (Class 68)

Lesson Title
4.1.1 How can an equation help me predict?

Overview
Today students work towards bringing closure to this chapter by conducting: 1) a team brainstorming session, 2) Making a concept map which shows the connections between the key ideas, 3) Answering questions related to the key concepts, 4) Summarizing their own understanding, 5) Cleaning up their learning log, 6) Solving problems representing the main ideas and skills for this chapter.
Textbook Sections
4.1.1 (Txt. p.165) How can an equation help me predict?

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?
How can I find an equation for an exponential situation?

Key Knowledge
Exponential growth is caused by a constant multiplication.

Key Skills
I can find an equation for an exponential function when given a graph, a table, or a situation.
I can use what I have learned about exponential functions to conduct an investigation into the depreciation of cars.

Turn-In (#-1)
3-124 to 3-127

Handouts
No Handouts Posted

Assignment
3-133 to 3-138
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 137)

Lesson Title
Unit Closure

Overview
In today’s class students bring the Shapes and Designs unit to a close and turn our attention to working with rational numbers.
Textbook Sections
N/A

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
How can transformations be described mathematically?

Key Knowledge
Basic commands for Web Turtle.

Key Skills
I can write a set of commands to draw a given design.

Turn-In (#-1)
No Homework

Handouts
No Handouts Posted

Assignment
ACE p.69 #8, 10
Quiz Corrections (Due Wed.)
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.

Friday, March 26, 2010

HL (Class 68)

Lesson Title
Lesson 23: Anti-Derivatives (1)

Overview
In today’s class students continue to work with related rates. They then begin to work reversing the process of differentiation.
Textbook Sections

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

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 an antiderivative?
How do I find an antiderivative from a graph?
How do I find an antiderivative from an equation?

Key Knowledge
If the function g(x) is the derivative of some function f(x), then f(x) is the antiderivative of g(x).
There are an infinitely many antiderivatives of a given function.

Key Skills
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.

Turn-In (#-1)
PS 22

Handouts
No Handouts Posted

Assignment
PS 22, PS 23
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 136)

Lesson Title
Investigation 6: Turtle Tracks

Overview
In today’s class students continue to make drawings for Web Turtle programs.
Textbook Sections
Problem 6.1 (Txt. p.66) Drawing with Logo

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
How can transformations be described mathematically?

Key Knowledge
Basic commands for Web Turtle.

Key Skills
I can write a set of commands to draw a given design.

Turn-In (#-1)
ACE p.69 #3, 4, 7

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.

Math 7 (Class 136)

Lesson Title
Investigation 4: Using Similarity

Overview
Students then will apply what they have learned about scaling to determine if it is possible to enlarge an advertisement to fit a given space.
Textbook Sections
Problem 4.2 (Txt. p.43) Scaling Up

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 do different shapes compare to each other?
What is required for two shapes to be similar?

Key Knowledge
If shapes are similar, then scale factor between corresponding sides is constant.

Key Skills
I can determine if it is possible to enlarge an advertisement to fit a given set of dimensions.

Turn-In (#-1)
Fraction Practice 1
Make your own add.

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.

SL (Class 68)

Announcements
Quiz Friday on Optimization

Lesson Title
Lesson 23: Antiderivatives (2)

Overview
In today’s class we continue working on finding the anti-derivatives of functions.
Textbook Sections

Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
difference quotient
derivative from first principals

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 an antiderivative?
How do I find an antiderivative from a graph?
How do I find an antiderivative from an equation?

Key Knowledge
If the function g(x) is the derivative of some function f(x), then f(x) is the antiderivative of g(x).
There are an infinitely many antiderivatives of a given function.

Key Skills
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.
I can determine if a given graph represents the antiderivative of a function.
I can sketch the graph of an antiderivative of a function when given the graph of the function.

Turn-In (#-1)
PS 19, PS 23

Handouts
No Handouts Posted

Assignment
PS 19, PS 23
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.

Wednesday, March 24, 2010

Algebra 2 (Class 67)

Lesson Title
4.1.1 How can an equation help me predict?

Overview
Today students work towards bringing closure to this chapter by conducting: 1) a team brainstorming session, 2) Making a concept map which shows the connections between the key ideas, 3) Answering questions related to the key concepts, 4) Summarizing their own understanding, 5) Cleaning up their learning log, 6) Solving problems representing the main ideas and skills for this chapter.
Textbook Sections
4.1.1 (Txt. p.165) How can an equation help me predict?

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?
How can I find an equation for an exponential situation?

Key Knowledge
Exponential growth is caused by a constant multiplication.

Key Skills
I can find an equation for an exponential function when given a graph, a table, or a situation.
I can use what I have learned about exponential functions to conduct an investigation into the depreciation of cars.

Turn-In (#-1)
3-124 to 3-127

Handouts
No Handouts Posted

Assignment
3-128 to 3-130, 3-131, 3-132
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 134)

Lesson Title
Investigation 6: Turtle Tracks

Overview
In today’s class students continue to work with Web Turtle and Geometry.
Textbook Sections
Problem 6.1 (Txt. p.66) Drawing with Logo

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
How can transformations be described mathematically?

Key Knowledge
Basic commands for Web Turtle.

Key Skills
I can write a set of commands to draw a given design.

Turn-In (#-1)
Web Turtle

Handouts
No Handouts Posted

Assignment
Web Turtle-- Use the repeat command to make a regular pentagon.
Circle Sums 4
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 134)

Lesson Title
Investigation 4: Using Similarity

Overview
In the last class students worked to figure out how a person’s height could be determined using a surveillance camera photograph. In today’s class they will verify their findings.
Textbook Sections
Problem 4.1 (Txt. p.41) Using Similarity to Solve a Mystery

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 do different shapes compare to each other?
What is required for two shapes to be similar?

Key Knowledge
If shapes are similar, then scale factor between corresponding sides is constant.

Key Skills
I can determine if it is possible to enlarge an advertisement to fit a given set of dimensions.

Turn-In (#-1)
ACE p.47 #1, 2, 6

Handouts
No Handouts Posted

Assignment
Finish Problem 4.1 Follow-Up: Determine the height of the door and be ready to share your method.
Fraction Review 13
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.