Mr Hickman's Class 2020-2021
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    • Algebra 2 Sem 1

Right Triangles and Similarity

Pythagorean Theorem and Solving Right Triangles 


Types of Problems

Determine the exact length of a hypotenuse of a right triangle given its legs

Determine the exact length of a leg given a leg and a hypotenuse

Determine if three numbers are sides of a right triangle

Use similarity with Pythagorean triples to find missing sides of a right triangle

Practice 

KUTA SOHCAHTOA
KUTA Radical Operations & Simplification
KUTA Simplification of Radicals
KUTA Simplification of Radicals with Variables

VIDEO EXPLANATIONS
KUTA Video: Simplify Radical 1
KUTA Video: Simplify Radical 2
KUTA Video: Simplify Radical 3
Interactive Digital Resources

Additional Resources

KHAN Academy Link 
CK 12 Link 1
CK 12 Link 2
YOU TUBE Link 1: Math Antics
YOU TUBE Link 2: Eddie Woo Video
YOU TUBE Link 3: YAY Math
YOU TUBE Link 4
Pythagorean Theorem Word Problems


Special Right Triangles 


Types of problems 

Determine missing sides of a special right triangle 

Determine the missing parts of special polygons (regular hexagon, equilateral triangle, squares)

Determine the relationships between the legs of special right triangles and their hypotenuse

Solving equations that involve radicals

Practice

KUTA Special Right Triangles
VIDEO EXPLANATIONS
KUTA Video: SRT #1-6
KUTA Video: SRT #7-12
KUTA Video: SRT #13-18
Interactive Digital Resources
Desmos File: 30/60/90 given short leg as rational number

Additional Resources

KHAN Academy link 
45/45/90 special right triangles
 KHAN Academy link
​30/60/90 special right triangles 

YOU TUBE Link 1
YOU TUBE Link 2: ​45/45/90
YOU TUBE Link 3: 30/60/90
Online Learning Link 

Geometric Mean


Types of Problems:

Find missing side lengths of right triangles related to the geometric mean of a right triangle 
Determine the geometric mean between two numbers 

Practice 

Practice Worksheet 1 with answers
KUTA Geometric mean and right triangles 
Practice Worksheet 2 with answers (no blank version)

Additional Resources

Khan Academy Link
CK 12 Link 
YOU TUBE Link  1
YOU TUBE Link  2
GUIDED Notes 
Interactive Digital Resources
DESMOS File: Two parts of hypotenuse to all segments 


Additional Resources


Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you