HolcombMath

Wednesday, January 31, 2007

Geometry (Class 44)

Announcements
For the Final:
Bring your construction tools: Ruler with inches and cm, protractor, compass.
One 8.5 x 11 sheet of paper, single sided, of hand written theorems, definitions, or postulates is permitted. No examples, proofs, etc… These notes will be checked during the test and need to be turned in at the end of the test. The notes will not be returned.

Overview
Today part 2 of the First Semester Final Exam is returned. Corrections are due for this part next class. Part 1 of the exam will not be returned and does not need to be corrected. Students who would like to go over the first part of the exam may setup an appointment to do so.

In addition to reviewing the final, we will develop formulas for finding the area of quadrilaterals.
Textbook Sections
§6.7 (Txt. p.372) Areas of Triangles and Quadrilaterals

Key Attitudes
Mathematics is about investigating.

Key Ideas
The formulas for the areas of quadrilaterals can be created by cutting the quadrilaterals into triangles.

Key Skills
Finding the area of quadrilaterals.

Handouts
Chapter 6: Lesson 4— Areas of Quadrilaterals

Assignment
Txt. p.258 #2, 7, 11, 12, 13, 22-24, 37, 38
Txt. p.328 #54, 56, 60, 64
Correct Final Exam Part 2 (You don’t need to correct the parallelogram proof)
Chapter 6: Lesson 4— Areas of Quadrilaterals #1-5

Tuesday, January 30, 2007

Algebra (Class 45)

Overview
Today we review the final exam and investigate the sum of consecutive even or odd numbers.
Textbook Sections
No New Text Book Sections

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
Investigating and looking for patterns.

Key Skills
Writing a number as the sum of consecutive even or odd numbers.

Vocabulary
Consecutive
Sum

Handouts
No Handouts Posted

Assignment
Txt. p.245 #3-6

Saturday, January 27, 2007

First Semester Grades

The grades for the first semester have been posted. Please review them and let me know if you see any mistakes.

Wednesday, January 24, 2007

Geometry Finals

Announcements
For the Final:
Bring your construction tools: Ruler with inches and cm, protractor, compass.
One 8.5 x 11 sheet of paper, single sided, of hand written theorems, definitions, or postulates is permitted. No examples, proofs, etc… These notes will be checked during the test and need to be turned in at the end of the test. The notes will not be returned.

Overview
Semester 1 Final Exams
Textbook Sections
Finals: Chapters 1- 6

Handouts
No Handouts Posted

Assignment
No Assignment

Monday, January 22, 2007

Algebra (Class 44)

Overview
Our review for the final continues. We also continue our work developing methods for writing an equation we can use for representing uniform motion.
Textbook Sections
No New Text Book Sections

Key Attitudes
Mathematics is about reasoning.

Key Ideas
The rate can be calculated by dividing the change in distance by the change in time.
The headstart (y-intercept) can be found by working backwards using the rate and one pair of (time, distance) data.

Key Skills
Multiplication and division.
Interpreting graphs
Calculating rates and starting distances.

Handouts
No Handouts Posted

Assignment
Any 15 problems (new ones) from p.639 to p.648-- you pick-em.

Friday, January 19, 2007

Geometry (Class 43)

Announcements
For the Final:
Bring your construction tools: Ruler with inches and cm, protractor, compass.
One 8.5 x 11 sheet of paper, single sided, of hand written theorems, definitions, or postulates is permitted. No examples, proofs, etc… These notes will be checked during the test and need to be turned in at the end of the test. The notes will not be returned.

Overview
Today we will finish up our work related to the diagonals of quadrilaterals as well as spend time reviewing for the final exam.
Textbook Sections
§6.5 (Txt. p.356) Trapezoids and Kites
§6.6 (Txt. p.364) Special Quadrilaterals

Key Attitudes
Mathematics can be a tool for investigating and uncovering facts.
Investigating requires creativity and persistence.
If you don’t first succeed, try, try again.

Key Ideas
Information about the diagonals of a quadrilateral can be used to infer the type of quadrilateral.

Key Skills
Making and testing conjectures.
Determining the possible type of a quadrilateral when given information about the diagonals of the quadrilateral.
Using the properties of the diagonals of quadrilaterals the relationship between types of quadrilaterals-- Ex.: Explain using diagonals why a square is always a rhombus, but a rhombus is not always a square.

Handouts
No Handouts Posted

Web Resources
Math Open Reference Quadrilaterals Page

Assignment
Final Exam Review Chapter 6-- All, except for problems involving finding the area.

Thursday, January 18, 2007

Algebra (Class 43)

Overview
Our review for the final continues. We also continue our work developing methods for writing an equation we can use for representing uniform motion.
Textbook Sections
No New Sections

Key Attitudes
Mathematics is about reasoning.

Key Ideas
Finding the rate from data.
Finding the starting distance from data.

Key Skills
Multiplication and division.
Interpreting graphs
Calculating rates and starting distances

Handouts
Graphing Lesson 16
Graphing Lesson 17

Assignment
Final Exam Review Chapter 5

Wednesday, January 17, 2007

Geometry (Class 42)

Overview
In previous classes we have developed and proved various properties of parallelograms as well as reviewed the names, properties, and definitions of various convex quadrilaterals. In this lesson we will turn our attention to the diagonals of quadrilaterals and see what we can uncover.
Textbook Sections
§6.5 (Txt. p.356) Trapezoids and Kites
§6.6 (Txt. p.364) Special Quadrilaterals

Key Attitudes
Mathematics can be a tool for investigating and uncovering facts.
Investigating requires creativity and persistence.
If you don’t first succeed, try, try again.

Key Ideas
The diagonals of quadrilaterals possess unique cahrateristics.

Key Skills
Identifying quadrilaterals from given information (ex: a quadrilateral with 4 right angles is a _____.)
Making and testing conjectures.

Vocabulary
Sufficient
Necessary

Handouts
Chapter 6, Lesson 3: Diagonals of Quadrilaterals
Chapter 6 Test A

Assignment
Finals Exam Review- Chapter 5
Chapter 6 Test A

Tuesday, January 16, 2007

Algebra (Class 42)

Overview
Our review for the final continues. We also continue our work developing methods for writing an equation we can use for representing uniform motion.
Textbook Sections
No New Sections

Key Attitudes
Mathematics is about reasoning.

Key Ideas
Finding the rate from data.
Finding the starting distance from data.

Key Skills
Multiplication and division.
Interpreting graphs
Calculating rates and starting distances

Assignment
Final Exam Review Chapters 4

Saturday, January 13, 2007

Weekly Summary Forms

I’m trying to figure out an easy way to post worksheets and such. This is a test and may not work.
Weekly Summary Form-- Mind Map Version
Weekly Summary Form-- List Version

Friday, January 12, 2007

Geometry (Class 41)

Overview
In the last few classes we have pulled apart what it means for a quadrilateral to be a parallelogram. We now turn our attention to other quadrilaterals: what are there names, how do you identify them, what do they have in common with each other, and what is unique about each.
Textbook Sections
§6.5 (Txt. p.356) Trapezoids and Kites
§6.6 (Txt. p.364) Special Quadrilaterals

Key Attitudes
Mathematics can be a tool for investigating and uncovering facts.
Investigating requires creativity and persistence.
If you don’t first succeed, try, try again.

Key Ideas
What are other types of quadrilaterals? What are their names?
How can you decide on the proper name? What do you look for in order to identify a quadrilateral?
What characteristics do quadrilaterals share with each other? What characteristics are unique?

Key Skills
Identifying quadrilaterals from given information (ex: a quadrilateral with 4 right angles is a _____.)
Making and testing conjectures.

Assignment
Final Exam Review Chapter 4
Worksheet: “Chapter Review Games and Activities” (”Crossword” puzzle)
Worksheet: Lesson 6.6 Practice A #1-11, 14, 16

Thursday, January 11, 2007

Algebra (Class 41)

Overview
Our review for the final continues. We also continue our work developing methods for writing an equation we can use for representing uniform motion.
Textbook Sections
No New Sections

Key Attitudes
Mathematics is about reasoning.

Key Ideas
Finding the rate from data.
Finding the starting distance from data.

Key Skills
Multiplication and division.
Interpreting graphs
Calculating rates and starting distances

Assignment
Final Exam Review Chapters 3

Wednesday, January 10, 2007

Geometry (Class 40)

Overview
Today we continue to work on the proofs concerning the properties of parallelograms. In addition we may start our second lesson for Chapter 6 (these lessons tend to take more than one class) which focuses on learning how to name the various types of quadrilaterals we encounter.

Textbook Sections
§6.3 (Txt. p.338) Proving Quadrilaterals are Parallelograms
§6.4 (Txt. p.347) Rhombuses, Rectangle, and Squares

Key Attitudes
Mathematics can be a tool for investigating and uncovering facts.
Investigating requires creativity and persistence.
If you don’t first succeed, try, try again.

Key Ideas
A parallelogram has:
two pairs of congruent opposite sides
two pairs of congruent opposite angles
all adjacent angles are supplementary
diagonals which bisect each other

Two lines can be proven to be parallel by various methods:
1) by showing that alternate interior angles are congruent
2) by showing that alternate exterior angles are congruent
3) by showing that corresponding angles are congruent
4) by showing that consecutive interior angles are supplementary

Key Skills
Proving triangles are congruent
Proving lines are parallel
Proving a quadrilateral is a parallelogram
Writing two-column proofs

Handouts
Chapter 6, Lesson 2: Types of Quadrilaterals

Assignment
Lesson 6.3 Practice A #1-8, 12-13
Final Review Chapter 3

Tuesday, January 09, 2007

Algebra (Class 40)

Overview
A Visual Approach to Functions
We continue our work with linear relationships and with our work on improving our ability to solve second degree trinomial equations using ZPP.

Key Attitudes
Mathematics is about reasoning.

Key Ideas
Finding the rate from data.
Finding the starting distance from data.

Key Skills
Multiplication and division.
Interpreting graphs
Calculating rates and starting distances

Assignment
Final Exam Review Chapters 1 and 2

Monday, January 08, 2007

Geometry (Class 39)

Overview

In today’s class we spend some time working through the review problems for the upcoming final. In addition, we return to the work we did before break concerning defining a parallelogram. We build on this work by proving various statements about parallelograms.

Key Attitudes
Mathematics can be a tool for investigating and uncovering facts.
Investigating requires creativity and persistence.
If you don’t first succeed, try, try again.

Key Ideas
The sum of the interior angles of a quadrilateral is 360˚
A parallelogram is defined by our book to be a quadrilateral with both pairs of opposite sides parallel. However, there are other ways to define a parallelogram.

Key Skills
Writing two-column proofs
The sum of the interior angles on a quadrilateral is 360˚

Assignment
§6.1 (Txt. p.325) #12-17, 37, 38, 41, 42
Review for Final through Chapter 2 should be finished.