Approaching topics

What's in store for us after break:
Finish triangle congruences.
Proof test the Wednesday or Thursday we return from break.
Right triangle trig.
Solving radical equations.
Probability to include the symbols and testing for independence.

Math 2 Honors Project: Great Festival of Mathematics

This project requires you to demonstrate an understanding of 5 geometry theorems/postulates/shapes by creating festive ornaments. Don't leave me to imagine a theorem on your ornament. It should be marked so that anyone who did not know math could make sense of it.

It will be worth two grades. A test grade based on content and a quiz grade based upon presentation. Presentation may include your name, the theorem, appropriate markings, creativity and originality. Use a festive theme such as Christmas, Hanukah, Winter Solstice, Kwanzaa, etc. Ethnic and cultural heritage can be a great source of creative ideas for a project like this. 

To earn an A: Choose 5 items from the theorem list and correctly demonstrate them with your ornament(s).
To earn a B: Choose a combination of 5 items from either the list of theorems or shapes and correctly demonstrate them with your ornament.
To earn a C: Choose 6 items from the list of shapes and correctly demonstrate them with your ornament.

Frequently the best materials are in a junk drawer or "Aunt Lucy's" no longer used craft supplies.

Project Guidelines:

1. Students may work alone or in pairs,

2. choosing five items from the list,

3. to create an ornament(s) that must be 4 to 9 inches in height.

4. Each ornament must be clearly labeled & with string.

5. Be creative, colorful, festive and culturally resourceful!

The emphasis is on quality not quantity. So no more than one theorem per ornament.

If you have questions about what might/might not be acceptable, see me in class!

Due Date : The due date is a "no later than" date. That means you can turn it in earlier than Tuesday, December 6 at 2 pm but not later. If you are on your deathbed on Tuesday but alive on Wednesday, your project had better be in or you will receive a zero. No late homework passes can be used. No late projects accepted. 

Theorems & Postulates List:

1.      Three non-collinear points determine a plane.

2.      If two planes intersect, then their intersection is a line.

3.      Two points determine a line.

4.       If a line is tangent to a radius at its outer endpoint then it is tangent to the circle.

5.      Vertical angles are congruent.

6.       All radii of a circle are congruent.

7.       If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

8.       If two angles are both supplementary and congruent, then they are right angles.

9.       If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

10.  If two points are equidistant from the endpoints of a segment, then the two endpoints determine the perpendicular bisector of that segment.

11.  If a point is on the perpendicular bisector of a segment, then it is equidistant of a segment, then it is equidistant from the endpoints.

12.  If two non-vertical lines are parallel, then their slopes are the same.

13.  If a line is perpendicular to other coplanar lines then then two other lines are parallel.

14.  If two lines are cut by a transversal then the alternating interior angles are congruent.

15.  If two lines are cut by a transversal, then the alternating exterior angles are congruent.

16.  If two lines are cut by a transversal, then the corresponding angles are congruent.

17.  If two lines are cut by a transversal, then the same side interior angles are supplementary.

18.  In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

19.  A line and a point not on the line determine a plane.

20.  If two lines are parallel to a third line, they are parallel to each other.

21.  Two intersecting lines determine a plane.

22.  Two parallel lines determine a plane.

23.  If a radius is perpendicular to a chord then it bisects the chord.

24. The perpendicular bisector of a chord passes through the center.

25.  If two chords of a circle are equidistant from the center, then they are congruent.

26.  If two tangent segments are drawn to a circle from an external point, then those segments are congruent.

You may also choose from this list of shapes.

27. Circle with an inscribed angle.

28.  Internally tangent circles

29.  Similar figures

30.  Externally tangent circles

31.  Circle with secants

32.  Circle with a tangent

Have fun!

Rotating 2D shapes in 3D

For practice visualizing 3D shapes generated by rotating 2D shapes click on this link.

What does it mean to be normal statistically?

More links will be posted below daily 

Using Mean and Standard Deviation

Using Empirical Rule

Logarithms Explained

Math 3 Honors Project

Here's your chance to go "Hollywood". You can work in a group of 2-4 people to make a movie of 2-3 minutes length using windows movie maker or flip-o-gram to create a video 2-3 minutes in length with both audio and visual. l

Some topics to consider are: mathematicians related to math 3 content, logarithms, trigonometry, Unit circle, factoring, sequences and series ( not infinite) and conics. If you choose something else, it must have my approval before March 18, 2016. Take the viewer on a journey with you as you explore and analyze what you are exploring.

The due date is NO LATER THAN 21 April 2016 (Thursday). There will be no late projects accepted so get it done and submitted before then. Value: Two grades( one on content and the other on presentation) for final project (progress check on March 18).