Division E Session on Jan 17, 2016

Instructor:	Ms. Rudina Morina
Attendance:
Handout:	A combination of more challenging problems not covered in the past weeks
Problems Solved in Class:	5/7 problems given in the handout
Concepts:	The problems covered a number of topics, but the emphasis was on problem solving, especially considering the different approaches to arrive at the same solution.
Student Difficulties:
Notes:	Students were divided into groups of two and for each problem they were given ~5 min to work with their partners. Then a volunteer student solved the problem in the board followed by the teacher's explanations. This gave us a possibility to consider at least two different approaches to a problem: that of the student and the teacher.
Assigned Work:	None

Division M1 session on Jan 17, 2016

Instructor:	Mr. Zia Hydari
Attendance:	ARS, AM, AP, MS, AK, RM, SH
Handout:	Angles (definitions, review problems, challenge problems
Problems Solved in Class:	2.27, 2.47, and 2.48
Concepts:	Axioms, Euclid's Axioms, Angles, Parallel Lines
Student Difficulties:	The students found the Challenge Problems too difficult so we reverted to the Review Problems.
Homework:	Read and understand the definitions on the handout. If you do not understand the definitions in the handout, complete the following missions on Khan Academy: Lines and Angles. Solve (or at least attempt) Problems 2.26 to 2.35 (p. 46) in the handout. We will give points to the students who can solve these problems on the board during the next class. For Fun: See video on Golden Ratio by clicking here See video on number sets by clicking here
Notes:	Student were not ready for challenge problems

Division M session on Jan 10, 2016

Instructor:	Mr. Ahmed Hefny
Attendance:	11 Students
Handout:
Problems Solved in Class:
Concepts:
Student Difficulties:
Assigned Work:	None.
Notes:	Both Division M classes were combined into one. Meriem, Omar, and Ayan won prizes for their Geometry HW submission.

Whiteboard Images (please click on the image to enlarge):

Division E session on Jan 10, 2016

Instructor:	Mr. Zia Hydari
Attendance:	16 Students
Handout:	pp. 33--34
Problems Solved in Class:	All problems on page 33 only
Concepts:	Averages
Student Difficulties:
Assigned Work:	None.
Notes:	Both Division E classes were combined into one.

Geometry Problem Set for Dec 20, 2015 and Jan 3, 2016

Download Geometry Problem Set from the following link:
Geometry Problem Set

Geometry Mission on Khan Academy
The Geometry Mission on Khan Academy is a systematic way to learn the background material for the Geometry Problem Set.

Especially Useful Content
Triangle similarity
AA similarity
Right triangles and trigonometry

Trigonometry with right angles

Geometry Level 1 Helpful Videos

1. Angle Measurements and Circle Arcs
2. Similar Triangle Basics
3. Slope of a Line

Geometry Level 2 Helpful Videos

1. This problem is harder than the other Level 2 problems.
• Angles between Transversal and Parallel Lines
• Triangle similarity especially AA similarity
• Hints: Think about the similarity of triangles EFG and EAB. Also, think about the relationship between the height of triangle EFG, height of triangle EAB, and width (BC) of the rectangle (ABCD).
2. Ways to Cut A Cube
3. Similar Triangle Basics

Geometry Level 3 Helpful Videos

1. Area of an equilateral triangle and Trigonometry with right triangles
2. Volume tutorial
3. Circumference and area of circles (especially practice problems on "Shaded areas")

Geometry Level 4 Helpful Videos

1. Pie charts and frequency diagrams (no video)
2. Volume tutorial
3. Perimeter, area, and volume

Triangle similarity (copied from Khan Academy)

Triangle similarity

This tutorial explains a similar (but not congruent) idea to congruency (if that last sentence made sense, you might not need this tutorial). Seriously, we'll take a rigorous look at similarity and think of some reasonable postulates for it. We'll then use these to prove some results and solve some problems. The fun must not stop!

• Introduction to similar triangles(Video)
• Similarity postulates(Video)
• Determine whether triangles are similar using the AA criterion(Exercise)
• How to determine whether two triangles are similar (example)(Video)
• Determine whether triangles are similar using the SSS criterion(Exercise)
• How to find a missing measure with similar triangles (example)(Video)
• Find missing sides of similar triangles (basic)(Exercise)
• How to solve similar triangles where the same side plays different roles (example)(Video)
• Find missing sides of similar triangles (advanced)
  
  

Trigonometry with right triangles (copied from Khan Academy)

Introduction to the trigonometric ratios

Learn what sine, cosine, and tangent are.

• Opposite, adjacent, and hypotenuse (sides of right triangles)(Article)
• Introduction to the trigonometric ratios(Video)
• Finding trig ratios in right triangles(Article)
• How to find trigonometric ratios in a right triangle (examples)(Video)
• Find trigonometric ratios in right triangles(Exercise)

Solving for a side in a right triangle using the trigonometric ratios

Learn how to find a side length in a right triangle when given one side length and one acute angle.

• Finding an unknown side in a right triangle using trigonometry(Article)
• How to find missing sides in a right triangle using trigonometry (example)(Video)
• Solve for a side in a right triangle

Division M Sunday Dec 14, 2015 Resources

Factorials, Counting:  
http://artofproblemsolving.com/videos/counting

Zero Factorial: 
https://youtu.be/Mfk_L4Nx2ZI

Modular Arithmetic (Remainders): 
What is Modular Arithmetic
The Quotient Remainder Theorem

Modular Arithmetic Sheet from Math Counts Handbook: http://1drv.ms/1Z7ZKN7

Sequences: 
Introduction to Sequences