HolcombMath

Wednesday, March 10, 2010

Algebra 2 (Class 62)

Lesson Title
3.2.1 How can I find the equation?

Overview
Today student will continue to work on using their knowledge of linear equation to help develop algebraic strategies for finding linear and exponential functions. They will also learn more about working with roots and exponents.
Textbook Sections
3.2.1 (Txt. p.143) How can I find the equation?

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.

Turn-In (#-1)
3-81 to 3-83

Handouts
No Handouts Posted

Assignment
3-84, 3-85, 3-95 to 3-99
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 6 (Class 124)

Lesson Title
Investigation 5: Side-Angle-Shape Connections

Overview
In today’s class students investigate the concepts of flipping and turning shapes. They are asked to determine the number of ways this can be done to fit a given triangle in a missing space. They work to connect the answer to previous ideas about polygons.
Textbook Sections
Problem 5.1 (Txt. p.52) Flipping and Turning Triangles

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
Flipping means to turn a shape over.
Turning means to rotate a shape around a given point.

Key Skills
I can determine the number of ways a shape can be turned and or flipped in order to fit into a missing hole in a pattern.

Turn-In (#-1)
Will It Tile Worksheet

Handouts
No Handouts Posted

Assignment
Will It Tile? Worksheet- Back Side
Grid 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 124)

Lesson Title
Investigation 3: Patterns of Similar Figures

Overview
Today students begin to study “Rep-tiles”, a shape whose copies can be put together to make a larger, yet similar, shape.
Textbook Sections
Problem 3.2 (Txt. p.29)

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 visually determine if two shapes are similar.

Turn-In (#-1)
ACE p.33 #1-4

Handouts
No Handouts Posted

Assignment
ACE p. 33 #5-7
GroundWorks Grade 7 Reasoning with Data: What Do You Mean 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.

Tuesday, March 09, 2010

Math 6 (Class 123)

Lesson Title
Investigation 4: Polygon Properties and Tiling

Overview
In today’s class students continue to work toward determining how to predict if a regular polygon with a given number of sides will tile.
Textbook Sections
Problem 4.3 (Txt. p.46) Back to Bees!

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 find the sum of the interior angles of any covnex polygon.
I can justify the sum of the interior angles of a polygon by using previously agreed on facts.
I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star.
I can draw a regular 9-gon

Turn-In (#-1)
Draw a regular 10-gon inscribed in a circle with radius of 8 cm.

Handouts
No Handouts Posted

Assignment
Will It Tile Worksheet- Front Side
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 123)

Lesson Title
Investigation 3: Patterns of Similar Figures

Overview
In today’s class students extend the work started yesterday on determining if two shapes are similar by visual inspection. Using rulers they measure the lengths of the sides of the pairs of figures they previously identified as being similar, and then calculate the scale factors.
Textbook Sections
Problem 3.1 (Txt. p.28) Identifying Similar Figures

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 visually determine if two shapes are similar.

Turn-In (#-1)
Rework missed quiz problems. Come in ready with questions.
ACE p.22 #7

Handouts
No Handouts Posted

Assignment
ACE p.33 #1-4
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.

Monday, March 08, 2010

Math 7 (Class 122)

Lesson Title
Investigation 3: Patterns of Similar Figures

Overview
In today’s class students develop some mathematical means for determining if two shapes are, or are not, similar.
Textbook Sections
Problem 3.1 (Txt. p.28) Identifying Similar Figures

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 visually determine if two shapes are similar.

Turn-In (#-1)
No Homework

Handouts
No Handouts Posted

Assignment
Rework missed quiz problems. Come in ready with questions.
ACE p.22 #7
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 61)

Lesson Title
3.1.6: What’s the connection?

Overview
In today’s class students continue to develop their fluency in moving from one representation of an exponential relationship to another. As time permits students will use their knowledge of linear equation to help develop algebraic strategies for finding linear and exponential functions. They will also learn more about working with roots and exponents.
Textbook Sections
3.1.6 (Txt. p.138) What’s the connection?

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.

Turn-In (#-1)
3-78 to 3-80

Handouts
No Handouts Posted

Assignment
3-81 to 3-83
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 122)

Lesson Title
Investigation 4: Polygon Properties and Tiling

Overview
In the last class students investigated how they could predict whether or not a regular polygon could be used to create a tiling. They decided that it would be good to collect more data, in particular they wanted to see if a regular 9-gon would tile. Hence students began creating regular 9-gons. In today’s class students will use their 9-gons and continue to investigate the requirements that are necessary for a regular polygon to tile.
Textbook Sections
Problem 4.3 (Txt. p.46) Back to Bees!

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 find the sum of the interior angles of any covnex polygon.
I can justify the sum of the interior angles of a polygon by using previously agreed on facts.
I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star.
I can draw a regular 9-gon

Turn-In (#-1)
No Homeork

Handouts
No Handouts Posted

Assignment
Draw a regular 10-gon inscribed in a circle with radius of 8 cm.
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 05, 2010

Algebra 2 (Class 60)

Lesson Title
3.1.6: What’s the connection?

Overview
In today’s class students continue to develop their fluency in moving from one representation of an exponential relationship to another. In addition, they write a quiz focusing on our work over the last two weeks.
Textbook Sections
3.1.6 (Txt. p.138) What’s the connection?

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.

Turn-In (#-1)
3-67 to 3-71

Handouts
No Handouts Posted

Assignment
3-78 to 3-80
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 121)

Lesson Title
Investigation 4: Polygon Properties and Tiling

Overview
In today’s class students continue their investigation regarding the mathematical properties which may contribute to the fact that all bees create honeycombs using regular hexagons.
Textbook Sections
Problem 4.3 (Txt. p.46) Back to Bees!

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 find the sum of the interior angles of any covnex polygon.
I can justify the sum of the interior angles of a polygon by using previously agreed on facts.
I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star.

Turn-In (#-1)
“Interior Angles” worksheet

Handouts
No Handouts Posted

Assignment
No Homeork
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 121)

Lesson Title
Investigation 3: Patterns of Similar Figures

Overview
In today’s class students finish up their work with Wump Hats and examining rules for transforming shapes based on the coordinates of points. In addition students write a short quiz covering this weeks material.
Textbook Sections
Problem 2.3 (Txt. p.21) Maing Wump Hats

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 visually determine if two shapes are similar.

Turn-In (#-1)
ACE p.22 #5, 6

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.

Thursday, March 04, 2010

HL (Class 60)

Announcements
Related Rates Quiz Th.

Lesson Title
Mock Exam Paper 1

Overview

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
Why do we compare contrast and classify objects?
How can transformations be described mathematically?

Key Knowledge
An angle can be measured with an angle ruler.
Certain properties of a shape are maintained when a shape is enlarged or reduced.

Key Skills
I can find the sum of the interior angles of any covnex polygon.
I can use the concept of odds or of probability to solve problems.

Turn-In (#-1)
PS 21
IA

Handouts
No Handouts Posted

Assignment

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 120)

Lesson Title
N/A

Overview
Today JSR students work with AISR students to teach them a math magic tric.
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
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 find the sum of the interior angles of any covnex polygon.
I can justify the sum of the interior angles of a polygon by using previously agreed on facts.
I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star.

Turn-In (#-1)
“Interior Angles” worksheet

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 120)

Lesson Title
Investigation 2: Similar Figures

Overview
In today’s class students investigate how algebraic rules can be used to describe how shapes are transformed.
Textbook Sections
Problem 2.3 (Txt. p.21) Maing Wump Hats

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 use the concept of odds or of probability to solve problems.
I can use algebraic rules to represent how a shape is transformed.
I can determine a rule which will create a specified result.
I can determine if a rule moves a shape, makes it larger or smaller, and is or is not similar.

Turn-In (#-1)
ACE p.22 #2 to 4
GroundWorks Grade 7 Probability: In the Box 4

Handouts
No Handouts Posted

Assignment
ACE p.22 #5, 6
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 Sl (Class 60)

Announcements
Related Rates Quiz Th.

Lesson Title
Mock Exam Paper 1

Overview

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
Why do we compare contrast and classify objects?
How can transformations be described mathematically?

Key Knowledge
An angle can be measured with an angle ruler.
Certain properties of a shape are maintained when a shape is enlarged or reduced.

Key Skills
I can find the sum of the interior angles of any covnex polygon.
I can use the concept of odds or of probability to solve problems.

Turn-In (#-1)
PS 21
IA

Handouts
No Handouts Posted

Assignment

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.