HolcombMath

Wednesday, November 05, 2008

Geometry (Class 25)

Announcements
Test Friday-- missing angle puzzles, distances and midpoints, solving systems of linear equations (Txt. p.796) will be the focus.

Lesson Title
Missing Angles Puzzles (5)

Overview
The first part of the warm-up today continues to focus on matching the correct units of measure to a story. The second part, a Model Drawing Problem, asks students for the first time to work with circles as well as the previous concepts of coordinates, distance, and midpoints.
The lesson for the day give students a chance to continue to develop their skills at solving missing angle puzzles and to record the steps they used to arrive at a given measurement.
Textbook Sections
§1.5 (Txt. p. 34) Segment and Angle Bisectors
§1.6 (Txt .p.44) Angle Pair Relationships

Vocabulary
acute angle
obtuse angle
right angle
straight angle
supplementary angles
complementary angles
adjacent angles
bisect
deduce, deduction
counter example
congruent

Key Attitudes
Math is about thinking creatively.

Key Ideas
A proof is the sequence of reasons which, when put together, compels you to believe something.
Key Skills
I can deduce the measure of angles.
I can state the steps I use to come to a conclusion.
I can record the steps I used to come to a conclusion in written form.
I can use the concept of a counter example to show that something is not necessarily true.
Turn-In (#24)
Txt. p.796 #6, 7
Txt. p. 47 #11-13, 18, 19, 25-27, 31-33, 41, 45

Handouts
Missing Angles Puzzles Practice

Assignment
Finish Chapter 2- Lesson 1: Missing Angle Puzzles
Practice Missing Angle Puzzles (Note: There is a mistake in the handout on problem 3. The 116˚ angle is wrongly labeled. A corrected version of the worksheet can be downloaded here: Missing Angles Puzzles Practice
Txt. p.796 #8, 9
Txt. p. 47 #34-36, 42, 46, 49
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, November 04, 2008

Intro to Calculus (Class 25)

Lesson Title
Optimization

Overview
The warm-up for today asks students to match a bottle to the a graph of height as a function of volume. The lesson for the day introduces students to optimization problems by asking them to create an open top box with the maximum volume using a sheet of letter size paper and cutting out squares from the corners.
Textbook Sections
N/A

Vocabulary
optimization
concavity

Key Attitudes
Math is about thinking creatively.

Key Ideas
An optimal solution can be found by creating function
Key Skills
I can create a function to represent a situation.
I can use a graphing calculator to find the optimal solution to a problem.

Turn-In (#24)
Workshop 7
Warm-Up from class 24

Handouts
Homework 9

Assignment
Homework 9 #1-4
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.

Monday, November 03, 2008

Geometry (Class 24)

Announcements
Test Friday-- missing angle puzzles, distances and midpoints, solving systems of linear equations (Txt. p.796) will be the focus.

Lesson Title
Missing Angles Puzzles (4)

Overview
The warm-up for today continues with the theme of matching the correct units of measurement to a story. Students also continue to work with distances and midpoints on the coordinate plane. The lesson for the day wraps up the lesson on finding the measures of missing angles and we will begin our work with logic through the solving of logic puzzles.
Textbook Sections
§1.5 (Txt. p. 34) Segment and Angle Bisectors
§1.6 (Txt .p.44) Angle Pair Relationships

Vocabulary
acute angle
obtuse angle
right angle
straight angle
supplementary angles
complementary angles
adjacent angles
bisect
deduce, deduction
counter example
congruent

Key Attitudes
Math is about thinking creatively.

Key Ideas
A proof is the sequence of reasons which, when put together, compels you to believe something.
Key Skills
I can deduce the measure of angles.
I can state the steps I use to come to a conclusion.
I can record the steps I used to come to a conclusion in written form.
I can use the concept of a counter example to show that something is not necessarily true.
Turn-In (#23)
Txt. p. 796 #4,5
Txt. p.47 #8-10, 14-16, 20-24, 28-30

Handouts
No Handouts Posted

Assignment
Txt. p.796 #6, 7
Txt. p. 47 #11-13, 18, 19, 25-27, 31-33, 41, 45
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.

Sunday, November 02, 2008

Intro to Calc Test 3

Solutions for the test are below.
Test 3A
Test 3B