Browsing "Math Circle Club" Math Circle Club No Comments

## Week 14-Geometry: Circles

Videos

(11:12) Circle Notation

(4:58) Length of an arc that subtends a central angle

(2:18) Finding central angle measure given arc length

(14:16) Inscribed and central angles

(5:35) Right triangles inscribed in circles

(11:39) Area of inscribed equilateral triangle (some basic trig used) Math Circle Club No Comments

## Week 13-Similar Triangles

Videos:

(9:17) Similar Triangles Basics

(12:14) Similarity postulates

(9:13) Similar Triangle example problems

(7:37) Similarity Example problems

(6:05) Example

(9:53) Challenging similarity problem

(10:07) Finding area using similarity and congruence

Worksheet: 13-Similar Triangles Math Circle Club No Comments

## Week 12-Congruent Triangles

Videos:

(11:29) Congruent Triangles

(13:28) Other triangle congruence postulates

(7:28) Congruent Triangles

-(7:24) Why SSA is not a postulate

(5:46) Proof I

-(12:41) Proof II

(1:58) Basic Proof I

-(2:53) Basic Proof II

(8:15) Problem involving angle derived from square and circle

Worksheet: 12-Congruent Triangles Math Circle Club No Comments

## Week 11- Angles and Lines

Videos:

*(12:57) Notation of Basic Geometry

(3:38) Line segments, rays, and lines

(4:43) Vertical Angles

**(7:07) Angles formed by parallel lines and transversals

(2:16) Application 1

*(4:41) Application 2

(6:03) Triangle Angle 1

*(4:55) Triangle Angle 2

*(5:42) Triangle Angle 3

*(5:18) Corresponding angle equivalence implies parallel lines Proof

(6:05) Triangle Angle 4

**(9:11) Sum of Interior Angles of a polygon

(5:24) Sum of exterior angles of a convex polygon

*(8:31) Complimentary and supplementary angles

Examples:

(2:33) I

(2:37) II

Worksheet: 11-Geometry I Math Circle Club No Comments

## Week 09-Probability and Combinatorics

Worksheet: 09-Probability and Combinatorics Math Circle Club No Comments

## Week 06-Logarithms and Exponents

Introduction to Logarithms:

Exponential to Logarithmic Expressions

Graphing Logarithmic Functions

Properties of Logarithms

Using Properties

Logarithm Equations

Worksheet: 06-Logarithms and Exponents Math Circle Club No Comments Math Circle Club No Comments

## Week 04-Vieta’s Theorem, and Discriminant of Quadratic Equations

Discriminant:

Number of Solutions of a Quadratic Equation:

Sum of Polynomials Roots

Worksheet: Discriminant and Vieta’s Theorem Math Circle Club No Comments Math Circle Club No Comments