Geometry Vocabulary

Learning Context

Purpose

The purpose of this lesson is for the students to be able to understand geometry vocabulary and know how to use each term properly when it comes to actual geometry problems. Using index cards for students to write the definition as well as the illustration will help them see visually what each term is as well as hear it when they are studying the cards. They will hopefully soon memorize and know the terms to the point of where they won’t need to refer to their index cards anymore.

Enduring Understanding

Students should be able to define any geometry word as well as know which each term looks like in an illustration. The student should be able to apply these vocabulary problems to actual geometry problems where they will need to solve for variables. If students do not understand the vocabulary words they will struggle in the geometry unit. They will show their understanding through quizzes, tests, graded homework, and studying their index cards with their parents.

question mark

Essential Questions

What words come to mind when you think of geometry?
What are important geometry concepts?

Guided Questions:

What is a transversal?
What are adjacent angles?
What are vertical angles?
What are obtuse angles?
How could you illustrate adjacent angles?
When are angles supplementary?
When are angles complementary?
When do you set an equation equal to 180°?

Overview of What Students Need to Know

Prior to Learning Experience:
Prior to this learning experience, the 8th grade students learned how to set up equalities and inequalities. They learned how to solve equations as well as learning how to check their answers to see if they are correct. In the geometry unit the students will have to set up equations and solve for variables, which they previously have learned. They have also learned basic geometry such as shapes and certain formulas before they came to 8th grade.

During the Implementation of the Learning Experience:
During the implementation of this learning experience students should start to learn their geometry vocabulary, which is extremely important to be successful in this unit. They will be able to apply the vocabulary to solve problems on complementary angles, supplementary angles, vertical angles, etc. These problems involve setting up equalities and their own problems to find values of angles.

After the Implementation of the Learning Experience:
After the learning experience, the students should know all of their vocabulary. The students should be able to apply this vocabulary too all of the different word problems and general problems that are done in geometry. The students should be able to identify relationships between angles and be able to explain those relationships.
Key Subject-Specific Vocabulary:

Acute angle-an angle that measures less than 90°
Obtuse angle-an angle that measure greater than 90°, but less than 180°
Complementary angle-two angles whose measure have a sum of 90°
Right angle-an angle that measures 90°
Supplementary angle-two angles whose measures have a sum of 180°
Straight angle-an angle that measures 180°
Alternate interior angles-two angles inside the parallel lines that are on opposite sides of the transversal
Vertical angles- two nonadjacent angles formed when two lines intersect. The angles in a vertical angle pair are congruent.
Line-a straight path that continues infinitely in both directions
Line segment-a line with definite endpoints
Ray-a part of a line starting at a particular point and extending infinitely in one direction
Parallel lines-lines in the same plane that do not intersect
Perpendicular lines-lines that intersect to form a 90° angle
Transversal-is a line that intersects two or more other lines at different points
Corresponding angle-a pair of angles that have the same relative position at each intersection where the transversal crosses the other two
Adjacent angles-angles that have a common side but no interior points in common
Alternate exterior angles-two angles outside of the parallel lines that are on opposite sides of the transversal
Congruent angle- an angle that has the same measure as another angle
Intersecting lines-lines that cross at one point
Vertex-is the common endpoint of the rays forming the angle