I hope you did well on your test today!
Puzzling Friday tomorrow!
Thursday, January 29, 2009
Monday, January 26, 2009
6-9 Congruent Poygons
Polygons that have the same side lengths and the same angle measures.
3 motions include: TRANSLATION - ROTATION - REFLECTION
Triangles can be proven congruent based on:
SIDE - ANGLE - SIDE
ANGLE - SIDE - ANGLE
SIDE - SIDE - SIDE
Please review Chapter 6 concepts...our Chapter 6 test will be on Thursday!
3 motions include: TRANSLATION - ROTATION - REFLECTION
Triangles can be proven congruent based on:
SIDE - ANGLE - SIDE
ANGLE - SIDE - ANGLE
SIDE - SIDE - SIDE
Please review Chapter 6 concepts...our Chapter 6 test will be on Thursday!
Friday, January 23, 2009
6-8 Polygons and Their Perimeters
POLYGON is a closed figure consisting of line segments joined at their endpoints.
The points are VERTICES and the segments are SIDES.
PENTAGON - 5 sides, HEXAGON - 6 sides, OCTAGON - 8 sides, DECAGON - 10 sides
PERIMETER of a polygon is the sum of the lengths of the sides.
If all sides and all angles of a polygon are CONGRUENT, the polygon in called REGULAR
The points are VERTICES and the segments are SIDES.
PENTAGON - 5 sides, HEXAGON - 6 sides, OCTAGON - 8 sides, DECAGON - 10 sides
PERIMETER of a polygon is the sum of the lengths of the sides.
If all sides and all angles of a polygon are CONGRUENT, the polygon in called REGULAR
Thursday, January 22, 2009
Points, Lines, and Rays Packet
Please complete the 4 page packet for class tomorrow!( Friday Jan 23)
Please make sure that you have spelled everything correctly.
You do not have to MEASURE any of the angles despite the instructions.
This material will make up one third of next week's test on Chapter 6 so please make sure that you understand everything. If not, come see me in the morning!
Please make sure that you have spelled everything correctly.
You do not have to MEASURE any of the angles despite the instructions.
This material will make up one third of next week's test on Chapter 6 so please make sure that you understand everything. If not, come see me in the morning!
Wednesday, January 21, 2009
6-7 Special Quadrilaterals
QUADRILATERAL is a 4 - sided closed figure.
PARALLELOGRAM has 2 pairs of parallel sides, opposite sides are congruent, and opposite angles are congruent.
RHOMBUS has 2 pairs of parallel sides, opposite angles are congruent, and all four sides are congruent.
RECTANGLE has 2 pairs of parallel sides, opposite sides are congruent, and it has four right angles.
SQUARE has 2 pairs of parallel sides, four right angles, and four sides are congruent.
ISOCELES TRAPEZOID has one pair of parallel sides, the nonparallel sides are congruent, and two pairs of congruent angles.
PARALLELOGRAM has 2 pairs of parallel sides, opposite sides are congruent, and opposite angles are congruent.
RHOMBUS has 2 pairs of parallel sides, opposite angles are congruent, and all four sides are congruent.
RECTANGLE has 2 pairs of parallel sides, opposite sides are congruent, and it has four right angles.
SQUARE has 2 pairs of parallel sides, four right angles, and four sides are congruent.
ISOCELES TRAPEZOID has one pair of parallel sides, the nonparallel sides are congruent, and two pairs of congruent angles.
Tuesday, January 20, 2009
6-6 Triangles
There are 180 degrees in a trianlge.
A triangle contains 3 sides, 3 angles, and 3 vertices.
Triangles may be classified by angle measure:
An ACUTE triangle contains 3 acute angles.
An OBTUSE triangle contains 1 obtuse angle.
A RIGHT triangle contains1 right angle.
Triangles may also be classified by side length:
A SCALENE triangle has no equal sides.
An ISOSCELES triangle has 2 equal sides (and 2 equal angles)
An EQUILATERAL triangle has 3 equal sides (and 3 equal angles which each = 60 degrees)
Please familiarize yourself with the different triangles based on ANGLES and SIDES!
A triangle contains 3 sides, 3 angles, and 3 vertices.
Triangles may be classified by angle measure:
An ACUTE triangle contains 3 acute angles.
An OBTUSE triangle contains 1 obtuse angle.
A RIGHT triangle contains1 right angle.
Triangles may also be classified by side length:
A SCALENE triangle has no equal sides.
An ISOSCELES triangle has 2 equal sides (and 2 equal angles)
An EQUILATERAL triangle has 3 equal sides (and 3 equal angles which each = 60 degrees)
Please familiarize yourself with the different triangles based on ANGLES and SIDES!
Friday, January 16, 2009
Math is Difficult!
Hey Everyone,
In case some of you forgot, math can be difficult, hard, confusing, tedious, frustrating, and annoying! This is a good thing. It is your own personal journey working through such complex concepts and ideas that will ultimately develop your mind and allow you to analyze new ideas, deal with and work through challenges, and become a better thinker...
I know this work is difficult - DON'T GIVE UP! You are each smarter and have more potential than you could possibly imagine...
Have a great weekend!
In case some of you forgot, math can be difficult, hard, confusing, tedious, frustrating, and annoying! This is a good thing. It is your own personal journey working through such complex concepts and ideas that will ultimately develop your mind and allow you to analyze new ideas, deal with and work through challenges, and become a better thinker...
I know this work is difficult - DON'T GIVE UP! You are each smarter and have more potential than you could possibly imagine...
Have a great weekend!
6-5 Parallel Lines
TRANSVERSAL - a line that intersect two other coplanar lines...
If a transversal crosses two parallel lines, eight angles are formed.
CORRESPONDING angles are CONGRUENT.
VERTICAL angles are CONGRUENT.
ALTERNATE INTERIOR angles are CONGRUENT.
(Don't forget about complementary and supplementary angles also while you are doing these problems!)
If a transversal crosses two parallel lines, eight angles are formed.
CORRESPONDING angles are CONGRUENT.
VERTICAL angles are CONGRUENT.
ALTERNATE INTERIOR angles are CONGRUENT.
(Don't forget about complementary and supplementary angles also while you are doing these problems!)
6-4 Special Angles
Perpendicular - when two lines intersect to form right angles (90 degrees)
Complementary Angles - two angles whose measures have a sum of 90 degrees.
Supplementary Angles - two angles whose measures have a sum of 180 degrees.
Vertical Angles - when two lines intersect to form four angles - the nonadjacent (or opposite) angles are called vertical angles and they are CONGRUENT.
Complementary Angles - two angles whose measures have a sum of 90 degrees.
Supplementary Angles - two angles whose measures have a sum of 180 degrees.
Vertical Angles - when two lines intersect to form four angles - the nonadjacent (or opposite) angles are called vertical angles and they are CONGRUENT.
Wednesday, January 14, 2009
6-3 Angles
An angle is formed by two RAYS with a common endpoint called the VERTEX.
The rays are called the SIDES ofthe angle.
An angle is named with three letters, the middle letter must always be the vertex.
Acute angles measure between 0 and 90 degrees
Right angles = 90 degrees
Obtuse angles measure between 90 and 180 degrees
Two angles that have a common side and a common endpoint and DO NOT OVERLAP are called ADJACENT angles.
A ray that divides an angle into two CONGRUENT angles is said to BISECT the angle. This ray is also called an ANGLE BISECTOR.
The rays are called the SIDES ofthe angle.
An angle is named with three letters, the middle letter must always be the vertex.
Acute angles measure between 0 and 90 degrees
Right angles = 90 degrees
Obtuse angles measure between 90 and 180 degrees
Two angles that have a common side and a common endpoint and DO NOT OVERLAP are called ADJACENT angles.
A ray that divides an angle into two CONGRUENT angles is said to BISECT the angle. This ray is also called an ANGLE BISECTOR.
Tuesday, January 13, 2009
6.2 Circles
Please understand the following:
Center point of circle is the name of the circle.
Radius is the distance from the center of the circle to a point on the circle - it is a line segment.
The plural of radius is radii.
Radius is represented with "r"
Diameter is the line segment from one point on the circle, through the center of the circle, and to another point on the circle.
The Diameter is, therefore, twice the length of the radius!
Diameter is represented with "D".
The Diameter separates the circle into two, congruent, semi-circles.
A chord is a line segment from one point on a circle to another point on the circle that does not go through the center of the circle.
Circumference = Pi (3.14) x D
A circle contains 360 degrees
A semi-circle contains 180 degrees...
Please familiarize yourself with all the different parts and relationships in a circle!
Please know where Pi came from for tomorrow's quiz!
Center point of circle is the name of the circle.
Radius is the distance from the center of the circle to a point on the circle - it is a line segment.
The plural of radius is radii.
Radius is represented with "r"
Diameter is the line segment from one point on the circle, through the center of the circle, and to another point on the circle.
The Diameter is, therefore, twice the length of the radius!
Diameter is represented with "D".
The Diameter separates the circle into two, congruent, semi-circles.
A chord is a line segment from one point on a circle to another point on the circle that does not go through the center of the circle.
Circumference = Pi (3.14) x D
A circle contains 360 degrees
A semi-circle contains 180 degrees...
Please familiarize yourself with all the different parts and relationships in a circle!
Please know where Pi came from for tomorrow's quiz!
Monday, January 12, 2009
6.1 Points, Lines, and Planes
Today we began our chapter on Geometry! We learned that:
At least TWO points determine a line...
Points on the same line are COLLINEAR.
Points on the same plane are COPLANAR.
Exactly the same in size and shape is CONGRUENT.
You should be able to identify and name - lines, line segments, rays, endpoints, collinear points, coplanar points, and things that are congruent.
Spend just a few minutes today looking over this material. If you have any insights to share, suggestions to offer, or questions to ask - post them!
At least TWO points determine a line...
Points on the same line are COLLINEAR.
Points on the same plane are COPLANAR.
Exactly the same in size and shape is CONGRUENT.
You should be able to identify and name - lines, line segments, rays, endpoints, collinear points, coplanar points, and things that are congruent.
Spend just a few minutes today looking over this material. If you have any insights to share, suggestions to offer, or questions to ask - post them!
Thursday, January 8, 2009
TED
TED stands for Technology, Entertainment, Design. It started out (in 1984) as a conference bringing together people from those three worlds. Since then its scope has become ever broader. The annual conference now brings together the world's most fascinating thinkers and doers, who are challenged to give the talk of their lives (in 18 minutes).
The site is www.ted.com
The site is www.ted.com
This site makes the best talks and performances from TED available to the public, for free. More than 200 talks from our archive are now available, with more added each week. These videos are released under a Creative Commons license, so they can be freely shared and reposted.
Be inspired to be a TED contributor one day!
Wednesday, January 7, 2009
Student Journals!
Hey students!
Please make sure that you bring your new spiral journals to class this Friday, January 9th - so that you can complete three things in class:
(1) put your name on the front and decorate your journal
(2) your first entry should be to write down everything that you have learned in math so far this year
(3) your second entry should be to write down everything that you hope to learn in the second semester
I will have a bin in the room labeled..."Student journals" please make sure that you put your journal in this bin at the end of class so you will always know where to find it!
I will not be in class this Friday because I am headed back to New Jersey for my next to last weekend of school at Seton Hall University. Look forward to seeing all of you on Monday!
Mr. Fitz
Please make sure that you bring your new spiral journals to class this Friday, January 9th - so that you can complete three things in class:
(1) put your name on the front and decorate your journal
(2) your first entry should be to write down everything that you have learned in math so far this year
(3) your second entry should be to write down everything that you hope to learn in the second semester
I will have a bin in the room labeled..."Student journals" please make sure that you put your journal in this bin at the end of class so you will always know where to find it!
I will not be in class this Friday because I am headed back to New Jersey for my next to last weekend of school at Seton Hall University. Look forward to seeing all of you on Monday!
Mr. Fitz
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