Overview
This web quest has been created for eMINTS comprehensive training. It was created to help students see that there are many ways to solve triangles. Many of the process can be used in multiple ways. It is up to students to decide which way is best and under what conditions they work most effectively. This web quest took 5 weeks to complete. Students were given one week to complete each task. If your students have stronger background in SOHCAHTOA, then this could be reduced to 4 weeks, easily.
Audience
This web quest was created for a Math Analysis (Junior/Senior) level course. It is the first unit of trigonometry that the students cover in my class.
Standards
Students apply digital tools to gather, evaluate, and use information.
Plan strategies to guide inquiry
Locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media.
Creativity and Innovation.
Students demonstrate creative thinking, construct knowledge, and develop innovative products and processes using technology.
Apply existing knowledge to generate new ideas, products, or processes
Create original works as a means of personal or group expression
Use models and simulations to explore complex systems and issues
Communication and Collaboration
Students use digital media and environments to communicate and work collaboratively, including at a distance, to support individual learning and
contribute to the learning of others.
Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media
Communicate information and ideas effectively to multiple audiences using a variety of media and formats.
Contribute to project teams to produce original works or solve problems.
Critical thinking, problem solving, and decision making
Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using
appropriate digital tools and resources.
Identify and define authentic problems and significant questions for investigation.
Plan and manage activities to develop a solution or complete a project
Collect and analyze data to identify solutions and/or make informed decisions
Use multiple processes and diverse perspectives to explore alternative solutions
Technology operations and concepts
Students demonstrate a sound understanding of technology concepts, systems, and operations.
Select and use applications effectively and productively
Troubleshoot systems and applications
Plan strategies to guide inquiry
Locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media.
Creativity and Innovation.
Students demonstrate creative thinking, construct knowledge, and develop innovative products and processes using technology.
Apply existing knowledge to generate new ideas, products, or processes
Create original works as a means of personal or group expression
Use models and simulations to explore complex systems and issues
Communication and Collaboration
Students use digital media and environments to communicate and work collaboratively, including at a distance, to support individual learning and
contribute to the learning of others.
Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media
Communicate information and ideas effectively to multiple audiences using a variety of media and formats.
Contribute to project teams to produce original works or solve problems.
Critical thinking, problem solving, and decision making
Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using
appropriate digital tools and resources.
Identify and define authentic problems and significant questions for investigation.
Plan and manage activities to develop a solution or complete a project
Collect and analyze data to identify solutions and/or make informed decisions
Use multiple processes and diverse perspectives to explore alternative solutions
Technology operations and concepts
Students demonstrate a sound understanding of technology concepts, systems, and operations.
Select and use applications effectively and productively
Troubleshoot systems and applications
HSG-SRT.C.8 Similarity, Right Triangles and Trigonometry - Define trigonometric ratios and solve problems involving right triangles. (Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.
HSG-SRT.C.9 Similarity, Right Triangles and Trigonometry - Derive the forula A = 1/2abSinC for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
HSG-SRT.D.10 Similarity, Right Triangles and Trigonometry - Apply trigonometry to general triangles. Prove the Laws of Sines and Cosines and use them to solve problems.
HSG-SRT.D.11 Similarity, Right Triangles and Trigonometry - Apply trigonometry to general triangles. Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.
HSG-SRT.C.9 Similarity, Right Triangles and Trigonometry - Derive the forula A = 1/2abSinC for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
HSG-SRT.D.10 Similarity, Right Triangles and Trigonometry - Apply trigonometry to general triangles. Prove the Laws of Sines and Cosines and use them to solve problems.
HSG-SRT.D.11 Similarity, Right Triangles and Trigonometry - Apply trigonometry to general triangles. Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.
Objectives
Students will be able to determine the quickest and most efficient method for solving a triangle.
Students will determine alternate formulas for finding the area of a triangle.
Students will determine which area formula should be used under which conditions.
Students will create an evaluation form that breaks down a triangle and gives the quickest way to solve one.
Students will create an evaluation form that determines what area formula would best fit the situation.
Students will determine alternate formulas for finding the area of a triangle.
Students will determine which area formula should be used under which conditions.
Students will create an evaluation form that breaks down a triangle and gives the quickest way to solve one.
Students will create an evaluation form that determines what area formula would best fit the situation.
Successful Completion
Students, working as partner teams, will create a website that shows they understand the different methods of solving a triangle. They will analyze the effectiveness of each method and determine when the methods cannot be used. If your students have not created a website prior, then they should start the web quest by creating a website.
Differentiated Instruction
Each task contains both video links and print links to information. Both essentially contain the same information. A student that is weak in the area of written language can watch the videos to gain the information.
Resources
The list below is where I obtained most of my information.
www.khanacademy.org
www.youtube.com
www.mathisfun.com
www.purplemath.com
www.wolframalpha.com
www.weebly.com
www.khanacademy.org
www.youtube.com
www.mathisfun.com
www.purplemath.com
www.wolframalpha.com
www.weebly.com