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This lesson provided by:
Author: Tonia Bevelle
System: Tuscaloosa City
School: Tuscaloosa City Board Of Education
General Lesson Information
Lesson Plan ID:
33167
Title:
What you know about the Bermuda Triangle?
Overview/Annotation:
The basis of this lesson is for students to form a connection between the importance of geometry as it relates to the Bermuda Triangle. Students should think about the geographical locations and how they form a particular type of triangle. Within the triangle exists a relationship between the angles and the length of the sides. As the students reflect prior concepts and skills should come to mind to help them solve the problem. The ideas presented here can be used as the final lesson in a unit on triangles to summarize all that students have learned. Alternatively, the main problem from this lesson could be used as a final assessment activity for a unit on triangles.
This is a College and CareerReady Standards showcase lesson plan.
Associated Standards and Objectives
Content Standard(s):
MA2015 (912) Geometry 10. Prove theorems about triangles. Theorems include measures of interior angles of a triangle sum to 180^{o} , base angles of isosceles triangles are congruent, the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length, and the medians of a triangle meet at a point. [GCO10]
MA2015 (912) Geometry 33. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.* [GGPE7]
Local/National Standards:
Standard 1: Make sense of problems and persevere in solving them
Standard 2: Reason abstractly and quantitatively
Standard 3: Construct viable arguments and critique the reasoning of others
Standard 4: Model with mathematics
Standard 5: Use appropriate tools strategically
Standard 6: Attend to precision
Standard 7: Look for and make use of structure
Standard 8: Look for and express regularity in repeated reasoning
Primary Learning Objective(s):
Students will:
Identify points in the plane that, when connected to the endpoints of a given segment, form a specific type of triangle
Classify triangles according to sides (scalene, isosceles, equilateral)
Classify triangles according to angles (right, acute, obtuse)
Additional Learning Objective(s):
The students can then locate the three vertices of the Bermuda Triangle. (Miami, Puerto Rico, and Bermuda)
Using a coordinate plane with the x and y axis, the students create points for each geographical location and find the distance between the three vertices of the triangle.
This will help with defining the perimeter of the triangle.
Preparation Information
Total Duration:
31 to 60 Minutes
Materials and Resources:
1. Rulers
2. Pencil and Paper
3. Reference materials (i.e. books, Internet) about the Bermuda Triangle
4. Protractor
Technology Resources Needed:
Computer and Internet Connection
Background/Preparation:
Prior to teaching this lesson, the teacher should view the videos. Print one copy of the worksheet and the answer key. Make sure you get all necessary materials and have them at each station.
Procedures/Activities:
Before:
To begin the class, ask students the following questions:
How can you classify triangles according to their angles? [right, acute, obtuse]
How can you classify triangles according to their sides? [equilateral, isosceles, scalene]
What do you know about the Bermuda Triangle?
During:
1. After the introduction, allow the students to watch the video. Use the handout? What you know about the Bermuda Triangle?
http://www.youtube.com/watch?v=RpoqcU_WRbg
2. You can assign groups for this activity to allow the students to turn and talk and then answer questions. Make sure students record answers on the worksheet.
After
1. After a brief discussion, distribute the Bermuda Triangle Sides and Angles activity sheet to all students. Answer any questions that students have regarding the activity.
2. Once all questions have been answered and students are ready, allow them to work for 35 minutes individually to measure and classify angles. In addition, students need to measure the length of the sides. (You will not need much time for this. During the discussion about types of triangles, prompt students to think about how sides and angles are related.
3. For the next 3‑5 minutes, allow students to share their thoughts with a partner. During these discussions, students will often realize any errors that they made.
Attachments: **Some files will display in a new window. Others will prompt you to download.
Assessment
Assessment Strategies
Collect the student work on this problem and use it to determine each student’s level of understanding.
Once the sides and angles are measured correctly, they should be able to classify the triangle as acute, scalene, right, or equilateral.
Acceleration:
Ask the students the following questions:
1. Knowing the lengths of the sides of the triangle, what is the perimeter?
2. How can you find the area of the Triangle?
Intervention: