Reflection: Intervention and Extension Review of Solving Triangles Day 2 of 2 - Section 2: Review Activity

As students were working on determining the solutions for question 4 this question came up: "When you have 2 solutions is the first solution always going to be the triangle with the largest area?"

This is an interesting observation for a student. I asked why do you think this is the case. The student stated that the second solution happens when the opposite side swings in closer to the known angle which makes this triangle have less area.

This student continued to look at the relationship and wanted to know if the larger triangle's area is twice the smaller angle. I told the student to check and see if it was true. I continued to let the student explore by saying "If you find this is true can you justify the result in general?"

This allowed students who needed to think deeper the opportunity to go deeper. The student had some interesting ideas and I was happy the student was questioning.

Allowing students to question explore beyond the curriculum
Intervention and Extension: Allowing students to question explore beyond the curriculum

Review of Solving Triangles Day 2 of 2

Unit 6: Solving Problems Involving Triangles
Lesson 12 of 13

Big Idea: By sharing individual examples students will review for an assessment on solving problems involving triangles.

Print Lesson
1 teacher likes this lesson
Standards:
Subject(s):
Math, Law of Cosines, law of sines, triangles (Determining Measurements), right triangle, vector, area of triangle, problem solving, pre
45 minutes

Katharine Sparks

Similar Lessons

The Law of Sines: More than Meets the Eye
Big Idea: Using the Law of Sines will throw your students for a loop - there are two possible answers!
Favorites(1)
Resources(10)
Troy, MI
Environment: Suburban

Final Exam Review Stations (Day 1 of 3)
Big Idea: Students review by working through various stations at their own pace and receive immediate feedback on their work.
Favorites(6)
Resources(23)
Phoenix, AZ
Environment: Urban

SAS Area Formula
Geometry » Right Triangles and Trigonometry
Big Idea: Batteries not included...but the angle must be. Some assembly required. In this lesson students build a new triangle area formula and learn when and how to apply it.
Favorites(3)
Resources(10)