Aim 36: What is the side splitter theorem?
HW: Study for test
Aim 37: What have we learned about similarity - Chapter Test
HW: none
Aim 38: What is the side splitter theorem? Happy Halloween!
HW: none
Aim 39: What is the relationship between perimeter for similar figures?
HW: pg 169 2,6,10,12,14
Aim 40: What is the relationship between perimeter, area, and volume for similar figures?
HW: none
e diel, 28 tetor 2007
e hënë, 22 tetor 2007
Properties of Similar Figures
Link to definition of similar triangles:
http://www.regentsprep.org/Regents/math/geometry/GP11/Lsimilar.htm
Link to proving triangles are similar:
http://www.regentsprep.org/Regents/math/geometry/GP11/LsimilarProof.htm
Link to mean proportional in a right triangle:
http://www.regentsprep.org/Regents/math/geometry/GP12/LMeanP.htm
The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio. This can also be called the SCALE FACTOR.
An equation stating that two ratios are equal is called a PROPORTION.
http://www.regentsprep.org/Regents/math/geometry/GP11/Lsimilar.htm
Link to proving triangles are similar:
http://www.regentsprep.org/Regents/math/geometry/GP11/LsimilarProof.htm
Link to mean proportional in a right triangle:
http://www.regentsprep.org/Regents/math/geometry/GP12/LMeanP.htm
The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio. This can also be called the SCALE FACTOR.
An equation stating that two ratios are equal is called a PROPORTION.
Aims week of 10/22:
Aim 31: What are similar figures?
HW: pg 141 2,6,10,14,18
Aim 32: How do we prove figures are similar?
HW: worksheet 2-12 even problems
Aim 33: What are applications of similar triangles?
HW: pg 149 2,4,6,11,14,23
Aim 34: If you draw an altitude in a right triangle what happens?
HW: pg 156 1,16,28, 30
Aim 35: What is the mean proportional in a right triangle?
HW: none
HW: pg 141 2,6,10,14,18
Aim 32: How do we prove figures are similar?
HW: worksheet 2-12 even problems
Aim 33: What are applications of similar triangles?
HW: pg 149 2,4,6,11,14,23
Aim 34: If you draw an altitude in a right triangle what happens?
HW: pg 156 1,16,28, 30
Aim 35: What is the mean proportional in a right triangle?
HW: none
e diel, 14 tetor 2007
Aims week of 10/15:
Aim 26: What are trapezoids and kites?
HW: pg 115 2,12,13,14,16
Aim 27: How can we prove it's a trapezoid using coordinate geometry?
HW: pg 115-116 4,6,24 pg 118 32,33
Aim 28: Chapter wrapup (PSAT administered in morning impacting period 1,4)
HW: none
Aim 29: Chapter wrapup - worked on chapter review problems on pg 131
HW: pg 135 1-8
Aim 30: Algebra Review: How can we solve a system of equations?
HW: none
HW: pg 115 2,12,13,14,16
Aim 27: How can we prove it's a trapezoid using coordinate geometry?
HW: pg 115-116 4,6,24 pg 118 32,33
Aim 28: Chapter wrapup (PSAT administered in morning impacting period 1,4)
HW: none
Aim 29: Chapter wrapup - worked on chapter review problems on pg 131
HW: pg 135 1-8
Aim 30: Algebra Review: How can we solve a system of equations?
HW: none
e hënë, 8 tetor 2007
Aims week of 10/8:
Monday 10/8 - no school - Columbus Day
Aim 22: How can you identify the quadrilateral using coordinate geography?
HW: pg 108 7,9,11,15,17
Aim 23: continuation of coordinate geometric proofs
HW: pg 122 2,4 , pg 124 31,1,3
Aim 24: continuation of coordinate geometric proofs
HW: study for test
Aim 25: What have we learned about Quadrilaterals - Test
HW: None
Aim 22: How can you identify the quadrilateral using coordinate geography?
HW: pg 108 7,9,11,15,17
Aim 23: continuation of coordinate geometric proofs
HW: pg 122 2,4 , pg 124 31,1,3
Aim 24: continuation of coordinate geometric proofs
HW: study for test
Aim 25: What have we learned about Quadrilaterals - Test
HW: None
e enjte, 4 tetor 2007
Link to Parallelogram handout on Regentsprep.org
Link to Parallelogram handout on Regentsprep.org
http://http//www.regentsprep.org/Regents/math/geometry/GP9/LParallelogram.htm
Link to Rectangles, Rhombuses, & Squares:
http://www.regentsprep.org/Regents/math/geometry/GP9/LRectangle.htm
Link to Trapezoids:
http://www.regentsprep.org/Regents/math/geometry/GP9/LTrapezoid.htm
http://http//www.regentsprep.org/Regents/math/geometry/GP9/LParallelogram.htm
Link to Rectangles, Rhombuses, & Squares:
http://www.regentsprep.org/Regents/math/geometry/GP9/LRectangle.htm
Link to Trapezoids:
http://www.regentsprep.org/Regents/math/geometry/GP9/LTrapezoid.htm
e martë, 2 tetor 2007
Mathematics Problem Solving Competition - Semester Problem
MATHEMATICS PROBLEM SOLVING COMPETITION
SEMESTER 1, 2007-8
SEMESTER PROBLEM #1
THE YEAR 2008
Using the digits from the year 2008, write expressions which equal the numbers from 0 to 100.
* All four digits must be used, but no other
number may be used.
* Any mathematical operation may be used.
Some examples: 2 + 0 + 0 + 8 = 10; 8 – 0(0 + 2) = 8; 82- 0 + 0 = 64.
********************************************
Due Dates:
· Numbers 0 to 25: October 19, or sooner.
· Numbers 26 to 50: December 21, or sooner.
· Numbers 51 to 75: February 29, or sooner.
· Numbers 76 to 100: April 11, or sooner.
· Numbers 0 to 100: May 23, or sooner.
**********************************************************
Remember:
* Your entry must clearly show your name, school’s name, mathematics class code, teacher’s
name and date of submission.
* All steps must be clearly shown.
* The most accurate and best presented entry will win the prize.
* Your mathematics teacher will give you credit for your entry and you will also receive a
certificate for participating.
*****************************************************************************************
MPSC SEMESTER #1 PROBLEM, 2007-8, RKA Tom Frossinakis (AUSSIE) September 11, 2007
SEMESTER 1, 2007-8
SEMESTER PROBLEM #1
THE YEAR 2008
Using the digits from the year 2008, write expressions which equal the numbers from 0 to 100.
* All four digits must be used, but no other
number may be used.
* Any mathematical operation may be used.
Some examples: 2 + 0 + 0 + 8 = 10; 8 – 0(0 + 2) = 8; 82- 0 + 0 = 64.
********************************************
Due Dates:
· Numbers 0 to 25: October 19, or sooner.
· Numbers 26 to 50: December 21, or sooner.
· Numbers 51 to 75: February 29, or sooner.
· Numbers 76 to 100: April 11, or sooner.
· Numbers 0 to 100: May 23, or sooner.
**********************************************************
Remember:
* Your entry must clearly show your name, school’s name, mathematics class code, teacher’s
name and date of submission.
* All steps must be clearly shown.
* The most accurate and best presented entry will win the prize.
* Your mathematics teacher will give you credit for your entry and you will also receive a
certificate for participating.
*****************************************************************************************
MPSC SEMESTER #1 PROBLEM, 2007-8, RKA Tom Frossinakis (AUSSIE) September 11, 2007
Mathematics Problem Solving Competition - Due 10/19/07
MATHEMATICS PROBLEM SOLVING COMPETITION
SEMESTER 1, 2007-8
THREE WEEK PROBLEM #2
PROFIT OR LOSS?
A car dealer sold two cars for $9,999 each. On one car she made a 10% profit and on the other car she made a 10% loss. What was the dollar amount of her overall profit or loss on the two transactions?
Explain your solution very clearly.
********************************************
Due Date: Friday, October 19, 2007
**********************************************************
Remember:
* Your entry must clearly show your name, school name, mathematics class code, teacher’s
name and date of submission
* All steps must be clearly shown.
* The most accurate and best presented entry will win the prize.
* Your mathematics teacher will give you credit for your entry and you will also receive a
certificate for participating.
**************************************************************************************
MPSC THREE WEEK PROBLEM #2, 2007-8 Tom Frossinakis (AUSSIE) September 30, 2007
SEMESTER 1, 2007-8
THREE WEEK PROBLEM #2
PROFIT OR LOSS?
A car dealer sold two cars for $9,999 each. On one car she made a 10% profit and on the other car she made a 10% loss. What was the dollar amount of her overall profit or loss on the two transactions?
Explain your solution very clearly.
********************************************
Due Date: Friday, October 19, 2007
**********************************************************
Remember:
* Your entry must clearly show your name, school name, mathematics class code, teacher’s
name and date of submission
* All steps must be clearly shown.
* The most accurate and best presented entry will win the prize.
* Your mathematics teacher will give you credit for your entry and you will also receive a
certificate for participating.
**************************************************************************************
MPSC THREE WEEK PROBLEM #2, 2007-8 Tom Frossinakis (AUSSIE) September 30, 2007
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