Reflection: Unit Exams Angles Unit Assessment - Section 2: Angles Unit Test

 

I made some changes to the Reasoning and Angle Relationships unit test this year.  I wanted to include a problem that would encourage students to reason about vertical angles using transformations.  In problem #10, I asked students to provide at least two well-justified arguments about vertical angles.  Since students needed to make more than one argument, they could talk about rotating the angles 180 degrees or reflecting the angles so they map onto each other; they could also make an algebraic argument or use the idea that supplements to the same angle are congruent.  At any rate, my goal was to create an opportunity for students to use transformations ideas to make sense of vertical angles.

 

I was happy with problem #13 and the way it forced students to tease apart Rocio’s and Robert’s thinking.  This gave me a way to assess whether students really understand the structure of an “if…then…” statement and whether they are using only the information given to draw the correct conclusion.  Despite the fact that both Rocio and Robert use the same words in their argument, only one of them, Robert, is correct.   This is the kind of problem that really surfaced students’ facility with using deductive reasoning.

  Unit Exams: Weaving in Transformations
Loading resource...
 

Angles Unit Assessment

Unit 4: Discovering and Proving Angle Relationships
Lesson 6 of 6

Objective: Students will be able to solve problems and justify their reasoning by applying their understanding of vertical pairs, linear pairs, corresponding, and alternate interior angles.

Big Idea: After reviewing with their groups, students will show what they know about angle relationships on the unit assessment.

  Print Lesson
2 teachers like this lesson
Subject(s):
  90 minutes
identify special quadrilaterals by their
 
1
2
Similar Lessons
 
Reasoning About Rigid Motions
Geometry » Congruence and Rigid Motions
Big Idea: Students learn how to use reason as well as experience to understand the result of transforming a figure. Deductive and inductive logic work hand-in-hand!
  Favorites(1)
  Resources(18)
Ault, CO
Environment: Rural
Tom Chandler
 
Proving It
Geometry » Line-sanity!
Big Idea: This lesson begins to builds students understanding of proofs using Algebra and Geometry.
  Favorites(8)
  Resources(25)
Saratoga Springs, NY
Environment: Suburban
Stephanie Conklin
 
Parallel Lines Challenge Problem
8th Grade Math » Transformations
Big Idea: Challenge students to prove what they know about parallel lines and angle relationships when the diagram is unique and exact angle measures irrelevant.
  Favorites(3)
  Resources(12)
Bowling Green, KY
Environment: Suburban
Christa  Lemily
 
 
Something went wrong. See details for more info
Nothing to upload
details
close