ALEX Learning Activity

What Makes It Special? Remembering Relationships

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

  This learning activity provided by:  
Author: Lorie White
System:Lauderdale County
School:Rogers High School
  General Activity Information  
Activity ID: 2598
Title:
What Makes It Special? Remembering Relationships
Digital Tool/Resource:
Special Right Triangle Jam
Web Address – URL:
Overview:

This video will be used to re-enforce the relationships between the sides and angles in special right triangles. The video has a catchy song that will help students remember the relationships.

This activity results from the ALEX Resource Development Summit.

  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 9-12
Geometry
19 ) Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle leading to definitions of trigonometric ratios for acute angles. [G-SRT6]

Learning Objectives:

Students will discover and apply relationships in similar right triangles. 


Students will derive and apply the constant ratios of the sides in special right triangles (45˚-45˚-90˚ and 30˚-60˚-90˚).

  Strategies, Preparations and Variations  
Phase:
After/Explain/Elaborate
Activity:

  1. The teacher will play the video Special Right Triangle Jam.
  2. After watching the video, students will complete the Exit Ticket where they will write the angle and side relationships between a 30°-60°-90° right triangle and a 45°-45°-90° right triangle.
Assessment Strategies:

The teacher will check the exit tickets to determine if any misconceptions exist.  

The teacher can correct misconceptions with individual students or through a whole group lesson.


Advanced Preparation:

  1. The teacher will need a computer connected to a classroom projector and speakers for the Special Right Triangle Jam Video.
  2. The teacher will need to make copies of the Exit Ticket for each student in advance. (There are 2 different exit tickets per page.)
Variation Tips (optional):

After viewing the video, the teacher could have the students sing along to the video.  

The teacher could pair students and have students say the relationships between the sides and angles of special right triangles to each other.

The teacher could combine the two different exit tickets to create a 4 questions exit ticket.

Notes or Recommendations (optional):

ALCOS 2019

35. Discover and apply relationships in similar right triangles. 
a. Derive and apply the constant ratios of the sides in special right triangles (45˚-45˚-90˚ and 30˚-60˚-90˚).
b. Use similarity to explore and define basic trigonometric ratios, including sine ratio, cosine ratio, and tangent ratio.
c. Explain and use the relationship between the sine and cosine of complementary angles. 
d. Demonstrate the converse of the Pythagorean Theorem.
e. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems, including finding areas of regular polygons.

  Keywords and Search Tags  
Keywords and Search Tags: Right Angle Trigonometry, Special Right Triangle Relationship