Lesson Plan

Brad Davidson

Course: High School Geometry Unit Title: Trigonometry Lesson Topic: Right Triangles (sin/cos)

1. Identify Desired Results

Standard Addressed:
Students. . .
CCSS.Math.Content.HSG.SRT.C.6
·  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.
CCSS.Math.Content.HSG.SRT.C.7
·  Explain and use the relationship between the sine and cosine of complementary angles.
CCSS.Math.Content.HSG.SRT.C.8
·  Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems /

Essential Questions:

·  Where do we see right triangles every day?
·  How can we use right triangles to analyze situations in which right triangles do not exist?
·  Why is it important to recognize the ratios of the sides of right triangles?
·  How can sine and cosine be useful in analyzing right triangles? Pythagorean Theorem?
Learning Objective:
Students will...
·  Analyze right triangles to determine their relationships
·  Apply trigonometric functions (sine and cosine) to determine missing dimensions of right triangles
·  Determine the applicability of the Pythagorean Theorem and trigonometric functions in calculating missing values
·  Assess their solutions using their understanding of complementary angles
· 

2. Assessing Student Learning

Summative: Collective project at the end of the unit will assess students’ abilities to fully understand the relationship between the sides of the right triangle and its angles. Students will select an image from their Flickr collection which they will research and fully analyze to ensure that the angles and side lengths of the bridge, tower, table, etc are sensible.
Formative: Student’s will continually add photos and descriptions to their photos. Using what they find in their research they should be editing and changing their descriptions to more specifically define the right triangles in the image. Teacher can access these accounts publically to review students’ work.

3. Lesson Elements

Process:

I. Warm-up/Anticipatory Set: (Materials and further instructions attached in blue folder "Student Equations")
  Introduction to Flickr activity. Students should follow a posted link to the flickr website following my demonstration (explained below in Modeling/Direct Instruction).
·  Students may use an existing Yahoo account to log in or create a new account for Flickr
·  Students should remain on the listed websites below. All photos need to be appropriate for school. No weapons. No phallic symbols. Etc.
II.  Modeling/Direct Instruction and Practice (I do/We do):
  Open MY Flickr page and display it to students as an example of how to begin this project.
  Scroll through the selected images on the webpage and explain that students should write a few sentences about each image which relates the image to RIGHT TRIANGLES. (Remind students what a right triangle is)
  Students’ instructions are included in the attached PowerPoint
III. Independent Practice (You do):
IV.  Assessment:
Formative: Collect student usernames and check on their progress as they add photos and descriptions.
Summative: Students will be using their images to decide upon and conduct research on certain right triangles. They will need to determine a reasonable distance between two points and using the constraints of the problems they set up, they will show work to determine and verify that all measures of their triangles are correct and physically possible.
V.  Closure:
4.  Additional Planning Considerations
Class Description:
Classroom Setting: Students will be seated in partnered desks arranged in a horseshoe fashion so that all students are facing the center of the room. Students will be up and walking several times so that they can answer questions at the board in front of the room, in a location easily visible by all students at their desks.
BOARD
Side Table




Door
Classroom Management:
·  Students are not allowed to be on internet sites other than Yahoo, Flickr, Google or uploading photos from their phone.
Sponge Activity:
Materials/Equipment:
·  Computer Access
·  PowerPoint
5.  Reflections
Student Learning Expectations:
Implementation: