Complex Numbers in Geometry
Yi Sun
MOP 2010
1
Warmup
Problem 1. In cyclic quadrilateral ABCD, let Ha , Hb , Hc , and Hd be the orthocenters of triangles
BCD, CDA, DAB, and ABC, respectively. Prove tha
Complex Number and Geometry Formula Sheet
Peng Shi
Life is complex. It has real and imaginary components.
1
The Complex Number
p
Representations of a complex number: z = x + iy = Aei = A(cos + i sin
IMO Training 2010
Concurrency and Collinearity
Victoria Krakovna
Concurrency and Collinearity
Victoria Krakovna
[email protected]
1
Elementary Tools
Here are some tips for concurrency and collineari
TJUSAMO 2013-2014
Complex Numbers in Geometry
Robin Park
Complex Numbers in Geometry
Robin Park
March 17, 2014
All geometry is algebra.
-Gabriel Dospinescu
Although geometry problems are solved most e
A Point with many Properties
Yimin Ge
Vienna, Austria
The following problem is taken from the IMO 1985:
Problem 1 (IMO 1985). A circle with center O passes through the vertices
A and C of the triangle
Mathematics 34
Mathematics Department
Phillips Exeter Academy
Exeter, NH
July 2017
To the Student
Contents: Members of the PEA Mathematics Department have written the material in this
book. As you wor
Mathematics 45
Mathematics Department
Phillips Exeter Academy
Exeter, NH
July 2017
To the Student
Contents: Members of the PEA Mathematics Department have written the material in this
book. As you wor
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Wednesday, FEBRUARY 27, 2002
Contest B
The MATHEMATICAL ASSOCIATION OF AMERICA
American Mathematics Competitions
Presented by the Akamai Foundation
AMC Practice
Tanya Khovanova
January 4, 2010
Class Discussion
Should you check your work? http:/blog.tanyakhovanova.com/?p=201
Competition Practice
For every problem below from 2000 AMC 10 answer the
Cancerous 3-Dimensional Geometry Problems From
AIME, AMC 12, PUMaC, and HMMT
Compiled by AIME12345
2016 PUMaC Geo A3
2009 AMC 12A Problem 22
A cube with side length 10 is suspended above a plane.
The
Algebra Review
Tanya Khovanova
April 4, 2011
Class Discussion
Dividing tresure between two people.
Warm-Up
These three problems are from the book The Riddle of Scheherazade by
Raymond Smullyan. In eac
Algebraic Expressions
Tanya Khovanova
December 7, 2009
Class Discussion
The registration for NACLO 2010 is open.
Factor: x2 y 2 , x3 y 3 , x3 + y 3 , xn y n , xn + y n .
Expand: (x + y)2 , (x + y)3 ,
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Tuesday, FEBRUARY 12, 2002
Contest A
The MATHEMATICAL ASSOCIATION OF AMERICA
American Mathematics Competitions
Presented by the Akamai Foundation
AM
Mathematics 2
1. As with many of the problems in this book, its worth encouraging, sometimes requiring,
students to draw pictures and then use scissors to cut things up and move them around. As
pieces
Alicia Armistead
Week 7 Written Assignment 2
For this assignment we are asked to provide links to three lessons or activities and discuss
how we plan to improve the mathematical content. For this assi
Gresham Barlow School District
Curriculum Guide
Language Arts*
Curriculum Guide
6th Grade
* Note: A detailed Writing Curriculum Guide will be produced separately
To be implemented beginning 2012-2013
Alicia Armistead
For Week Five Written Assignment One, we are asked to view and replicate the Heat Loss
Project. I was so excited about this project and was even able to get a few student volunteers
d
Alicia Armistead
Week 4 Written Assignment 2
My final project is going to be a curriculum guidebook/detailed plan for 8 th grade mathematics.
Below, is a list of five activities that I have found so f
MATH-A
domain and range rgreear
[Exam ID:V9WF4J] Scan Number:7760
1
Whatisthedomainofthefunction?
A cfw_-3,0,-1,-2
B cfw_-3,-1,0,1,3
C cfw_-2,-1,0,1,2
D cfw_-3,-2,0,1,2
2
Thefunctionbelowcontainsorde
MTH 6020 Mathematical Connections
Week 1 of 8 Homework Problems
A
B
1. 55 and a 33 squares can be cut into pieces that will fit together to form a third square.
G
F
Find the length of a side of the th
Week 5: CCMP
Alicia Armistead
We are asked this week to talk about how we get our student to
attend to precision with our current classes. This semester, I am
teaching lower level students in Algebra
University
Aurora University
Graduate School
MA in Mathematics Education Online Program
Field Experience Learning Contract
Student Name: _/Z\ l1C cfw_A JIM-HQ iSlFacl
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ACTION RESEARCH
OBJECTIVES
After reading Chapter 9, you should be able to do
the following:
1. Describe the purposes of action research.
2. Describe the benefits of action research.
3. Identify the fo
Alicia Armistead
Week 2: Reflective Journal
What we worked on this week: This week was my second week of interning with the Upward
Bound Program at UVA-Wise. I was excited to get this second week star
REAL WORLD CURRICULUM AND STUDENT MOTIVATION
The Connections between Real World Curriculum and Student Motivation in the High School
Mathematics Classroom
Alicia Armistead
NSM-6100
Aurora University
D
Alicia Armistead
Week 5: Reflective Journal
What we worked on this week: This week marks the final week of my internship with the
Upward Bound Program at UVA-Wise. This week in Algebra 2, we worked on
MATHEMATICS IS IMPORTANT BUT BORING:
STUDENTS BELIEFS AND ATTITUDES
TOWARDS MATHEMATICS
Kirsti Kislenko, Barbro Grevholm, and Madis Lepik
Agder University College, Norway
Tallinn University, Estonia
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