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• Fundamental Counting Principles
• Permutations
• Permutations with Repeated Objects
• Combinations
• Counting Review Questions
How to Count without Counting
In this chapter, students will learn:
• different strategies of counting
• combinations and permutations
• Quiz #1 Counting Principles
• Quiz #2 Permutations and Counting
• Quiz on Permutations
• Difficult Counting Quiz Math Challengers
• Probability with Independent Events
• Probability with Dependent Events
• Conditional Probability
• Probability with Counting Principles
• Probability with Binomial Theorem
• Probability Review
In this chapter, students will learn:
• the basics to understanding probability
• how to create a sample space
• recognizing different cases in probability problems
• Proability Quiz #1
• Probability Quiz Difficult
• Areas of Triangles
• Pythagorean Theorem and Triples
• Special Triangles
• Similiar Triangles
• Median, Altitude, and Properties of Triangles
In this chapter, students will learn:
• to develop and apply the Pythagorean Theorem
• all the properties of triangles
• how to find areas using similiar triangles
• Heron's formula
• Problems Involving Circles and Semi Circles
• Problems Involving Regular Solids
Areas of 2D Figures
In this section, students will learn:
• solve problems involving circles and other 2D shapes
• recognize patterns of regular solids
• Angles with Parallel Lines
• Chord Properties in Circles
• Tangents and Circles
• Angles Properties in Circles
• Cyclic Quadrilaterals
• Challenge Problems on Circle Geometry
In this section, students will learn:
• to solve problems involving angles and circles
• find angles involving parallel lines, tangents, and secants
• properties of circle geometry
• Quiz 5.1: Angles with Parallel Lines and Triangles
• Quiz 5.2 Chord Properties in Circles
• Function Notations
• Composite Functions
• Sequences and Series
• Recursive Functions
Functions and Formulas
In this section, students will learn:
• the operations of various functions
• how to calculate the output of a function
• functions of recursive sequences
• Problems Involving Rates
• Problems Involving Ratios
Rates and Ratios
In this section, students will learn:
• to solve challenging problems involving rates and ratios
• Volumes of Basic Solids
• Areas of Basic Solids
• Volumes of Composite Solids
• Challenge Problems with Solids
In this section, students will learn:
• to find the volume and surface areas of composite solids
• 1990 State Countdown Round
• 2000 National Countdown Round
• 2004 National Countdown Round
• 2007 State Countdown Round
• 2007 National Countdown Round
• 2009 Chapter Countdown Round
• 2009 National Countdown Round
• 2009 National Countdown Round Video
• 2013 School Countdown Round
• AMC 10 Faceoff Slides
• 2008 Intramurals Target
• 2008 Intramurals Team
• Challenge Problems with Solids
• UBC Dr. Adler's Website with Questions
• Math Challengers Informational site
• What is Math Challengers
• Cut The Knot for Coaches and Students
• Math Count Past Contests
• Math Counts Workbooks
• 95 Problems of the Day
• Math Count Test Taking Page
• Math Count Past Contests
• Math Count Past Contests