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Mrs_B_Math

mrs_b — Sun, 16 Aug 2009 14:09:11 CDT

This Wiki will be a Collaboration of topical events and how they relate to math

Word of The Week

Anonymous — Tue, 03 Feb 2009 15:53:42 CST

Our word of the week this week is area. 2-2-09

Technologies

Anonymous — Fri, 30 Jan 2009 14:34:22 CST

Using the internet identify the top 20 technologies/inventions of the last 1000 years. That have had the largest impact on society. Make a time line and bar graph, and rate in order form most important to least important.

Technology

Anonymous — Thu, 15 Jan 2009 11:43:18 CST

There is no abstract available for this page revision.

Geometry Chapter 5

Anonymous — Mon, 17 Nov 2008 14:44:17 CST

Chapter 5: Proofs Using Congruence

Isometry: A composite of a reflection.
There are four Isometries:
Reflection
Glide Reflection
Translation
Rotation

Orientation: The order in which the vertices of a polygon are considered, either clockwise or counterclockwise.

Lesson 5-1

The A-B-C-D Theorem: Every isometry preserves Angle measure, Betweeness, Collinearity (lines), and Distance
(lengths of segments). A-B-C-D.

Definition of Congruent Figures: Two figures are congruent figures if and only if G is the image of F under a rotation, translation, reflection, or glide reflection.
Two figures are congruent figures if and only if G is the image of F under a composite of reflections.
This definition means that figures are congruent if their reflections, rotations, translations, or glide reflections are the same shape and size.

Congruent Transformation: Another term for Isometry.

Directly Congruent: When figures are congruent and they have the same orientation.

Directly congruent figures can only be translations and rotations because the orientation is the same

Oppositely Congruent: When figures are congruent and have opposite orientation.

Oppositely congruent figures can only be reflections and glide reflections because the orientation is not the same.

Theorem (Equivalenve Properties of Congruence)

1. Reflexive Prop of Congruence: F is congruent to F.

2. Symmetric Prop of Congruence: If F is congruent to G, then G is congruent to F.

3. Transitive Prop of Congruence: If F in congruent to G, and G is congruent to H, then F is congruent to H.

Here's a great website for all of the Isometries!
http://www.geom.uiuc.edu/~crobles/hyperbolic/eucl/iref/

Leson 5-4: Proofs Using Transitivity

Big Idea: One way of proving two things equals or congruent is to show that the things are bothe equal or congruent to the same thing.

Interior Angles: The four angles that are made on the inside of two parallel lines when cut by a transversal.

Exterior Angles: The four angles that are made on the outside of two parallel lines when cut by a transversal.

Alternate Interior Angles Theorem: If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel.
This just means that if a transversal cuts two lines and makes a pair of interior angles that are congruent then the lines have to be parallel.

Alternate Exterior Angles Theorem: If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.
This is saying the same thing as the Alternate Interior Angles Theorem is saying, but instead of interior angles they are talking about exterior angles.

Same-Side Interior Angles Theorem: If two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel.
This means the same thing that the other theorems are saying; but now if the transversal makes interior angles that are supplementary (two angles that make up 90 degrees) then the lines are parallel.

Parallel Lines Theorem

1. Alternate interior angles are congruent.
2. Alternate exterior angles are congruent.
3. Same-side ainterior angles are supplementary.

Lesson 5-3

Table of Justifications

Some Justifications that Segments are Congruent

Definition of bisector: If a figure is the bisector of a segment, it divides the segment into two congruent segments.

Definition of midpoint: If a point is the midpoint of a segment, it divides the segment into two congruent segments.

CPCF Theorem: If figures are congruent, then corresponding segments are congruent.

Segment Congruence Theorem: If segments have equal measures, then the segments are congruent.

Definition of Circle: If a figure is a circle, then it's radii are congruent.

Definition of Congruence: If a segment is the image of another under and isometry, then the segment and it's image are congruent.

Some Justifications that Angles are Congruent

Corresponding Angles Postulate: If lines intersected by a transversal are parallel, then corresponding angles are congruent.

Definition of Angle Bisector: If a ray bisects an angle, then it divides the angle into two congruent angles.

CPCF Theorem: If figures are congruent, then corresponding angles are congruent.

Angle Congruence Theorem: If the measures of angles are equal, the the angles are congruent.

Vertical Angles Theorem: If angles are vertical angles, then they are congruent.

Definition of Congruence: If an angle is the image of another under an isometry, then the angle and its image are congruent.

http://www.altavista.com/image/results?itag=ody&q=interior+angles&mik=photo&mik=graphic&mip=all&mis=all&miwxh=all

CPCF Theorem: If figures are congruent, then corresponding segments are congruent.

Segment Congruence Theorem: If segments have equal measures, then the segments are congruent.

Chapter 4 Vocabulary

Anonymous — Thu, 13 Nov 2008 11:22:28 CST

Begin a new thread. Write definitions for your vocabulary word, then decide which set your word belongs to, record the sets and explain why.

If six elephants went slipping and sliding, then 24 legs went flying. The converse then of that would be if 24 legs went a flying, then 24 elephants went slipping and sliding.

If-Then Statements Lesson 4-3

Anonymous — Wed, 12 Nov 2008 11:36:26 CST

Chapter 3 Vocabulary

Anonymous — Wed, 29 Oct 2008 11:16:42 CDT

Oct 29 Journal

click on the link below look at the first HDTV listed, notice the sale price and the original price. Figure out the % of the discount, and post discount along with an explanation how you got your answer in a new thread.
Sale price at Walmart

Polling information for Colorado

Barack Obama	50%
John McCain	46%
Ralph Nader	1%
Source

2.75 million registered voters in Colorado

Using the polling information above calculate the number of Coloradans each candidate will have, post this in your thread also.

Exponents

Anonymous — Thu, 16 Oct 2008 13:08:05 CDT

http://show.zoho.com/jsp/zoho_login.jsp?serviceurl=%2FHome.do

Chapter 3

mrs_b — Fri, 10 Oct 2008 12:32:12 CDT

There is no abstract available for this page revision.

Olympic Scoring

Anonymous — Fri, 22 Aug 2008 12:22:05 CDT

In this discussion, I want you to research how the sport you chose is scored. I want you to post a detailed explanation, and how numbers are used. Tell me if your sport is scored with whole numbers, integers, rational numbers, or real numbers, and why. Also, examine how the contestants are ranked.

D.B.
I chose the Olympics shooting sports.

Olympic Math Surveys

mrs_b — Mon, 18 Aug 2008 23:50:18 CDT

Olympic Survey

I am trying to find out how many people are watching the Olympics and what Events they are enjoying, to try to decide in the next games what Events should be televised.

1. Are you watching the 2008 Olympics

2. What time of day are you watching?

3. Do you Prefer: Water sports,ground sports, running sports, ball sports, muscle sports?

4. Who do you think will get the most medals?

5. What is your favorite land sport in the Olympics?

6. Who is your favorite American athlete?

7. Do you want to be in the Olympics when you are older?

8. Do you know who Micheal Phelps is?

9. What do you think Micheal Phelps is listening to on his ipod?

10. Do you think that we should be able to see a bigger variety of events, or that they have it set up perfectly?

11. How do you feel the judges order of judgeing things are? Do you think that they are not fair? Or do you feel that what they judge by is very organized and proper?

12. If you had a choice to get rid of one event in the Olympics, what would it be?

13. If you had a choice to add one event, what would it be?

14. If you could move one person to an event, would you do it?

15. Would you rather be a judge for the Olympics, or be in it?

Wow!! Guys I am impressed!!