# ALEX Lesson Plan

## Writing and Solving Equations Using Angle Terminology

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This lesson provided by:
 Author: Morgan Boyd Organization: Retirement
General Lesson Information
 Lesson Plan ID: 35591 Title: Writing and Solving Equations Using Angle Terminology Overview/Annotation: This lesson will enhance mathematical vocabulary knowledge and reinforce basic skills for solving equations. Mathematical vocabulary is a vital part of this lesson. The lesson will challenge the minds of seventh-grade students with the theory of angles. The student will use the information in the diagram to write an equation and solve for the variable. Terms that will be identified in the lesson are as follows: supplementary, complementary, adjacent, parallel lines and transversal, and vertical angles.This lesson results from the ALEX Resource Gap Project.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2019 (2019) Grade: 7 21. Use facts about supplementary, complementary, vertical, and adjacent angles in multi-step problems to write and solve simple equations for an unknown angle in a figure. Unpacked Content Evidence Of Student Attainment:Students: Find the values of angles using complementary and supplementary angle relationships and equations. Identify angle relationships in angle diagrams involving vertical, supplementary, and complementary angles. Write equations to represent relationships between known and unknown angle measurements. Determine the measures of unknown angles and judge the reasonableness of the measures.Teacher Vocabulary:Supplementary angles Complementary angles vertical angles Adjacent anglesKnowledge:Students know: supplementary angles are angles whose measures add to 180 degrees. Complementary angles are angles whose measures add to 90 degrees. vertical angles are opposite angles formed when two lines intersect. Adjacent angles are non-overlapping angles which share a common vertex and side.Skills:Students are able to: write a simple equation to find an unknown angle. Identify and determine values of angles in complementary and supplementary relationships. Identify pairs of vertical angles in angle diagrams. Identify pairs of complementary and supplementary angles in angle diagrams. Use vertical, complementary, and supplementary angle relationships to find missing angles.Understanding:Students understand that: vertical angles are the pair of angles formed across from one another when two lines intersect, and that the measurements of vertical angles are congruent. Complementary angles are angles whose measures add up to 90o, and supplementary angles are angles whose measures add up to 180o. Relationships between angles depends on where the angles are located.Diverse Learning Needs: Essential Skills:Learning Objectives: M.7.21.1: Define supplementary angles, complementary angles, vertical angles, adjacent angles, parallel lines, perpendicular lines, and intersecting lines. M.7.21.2: Discuss strategies for solving multi-step problems and equations. M.7.21.3: Identify all types of angles. M.7.21.4: Identify right angles and straight angles. Prior Knowledge Skills:Model using a protractor to draw angles. Draw points, lines, line segments, and parallel and perpendicular lines, angles, and rays. Define vertex/vertices and angle. Alabama Alternate Achievement Standards AAS Standard: M.AAS.7.21 Classify angles as acute, obtuse, right, or straight.

Local/National Standards:

Primary Learning Objective(s):

The student will write an equation from the given information in a figure.

The student will solve equations using inverse operations.

The student will determine if unknown angles in a figure are supplementary, complementary, or equal.

The student will be able to label and determine if angles are equal, complementary, or supplementary.

Using the pictures, the student will be able to explain if the sum of the angles is 180 degrees, 90 degrees, or equal.

Preparation Information