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Angles that Pair

Designed by:  Tammy B. Hester  

Grade level: 8th     Subject: Math

1) Core Curriculum Objective:  Demonstrate, sketch and identify adjacent, vertical, complementary, and supplementary angles. (8GS3-4)

Restatement: Students will draw and identify adjacent, vertical, complementary, and supplementary angles. Students will demonstrate their understanding by giving missing measurements without using a protractor.

2) Overview:  Students will sketch adjacent, vertical, supplementary, and complementary angles.  Students will demonstrate these types of angles using straws.  Students will identify these angles on paper, with pretzel sticks and real world examples.

 

3) Focus Question:  What is the definition of supplement?  What does complement mean?  How would these two words apply to types of angles?       Or......

Here is a box.  How can the angles of a box be described?

 

4) Time Frame:  2  fifty minute class periods

 

5) Assessment:  Students will make a poster to display  that they have an understanding of adjacent, vertical, complementary, and supplementary angles.  Students will glue straws to a poster board representing the types of angles and label them correctly.  Students will also cut and paste pictures from magazines or newspapers that give a real world situation to go along with each type of angle.

 

Rubric for Angles


Name ___________________________________ Score____________
Teacher's comments:

 

 

Type of angle   5 points 3 points 0 points
Vertical angle Represented by straws and pictures Only one representation

Not represented

 

Adjacent angle Represented by straws and pictures Only one representation Not represented

Complementary angle

 

Represented by straws and pictures Only one representation Not represented
Supplementary angle Represented by straws and pictures Only one representation Not represented
Project completed     Neat and on time 1 day late and messy Not turned in

 

6) Resources:  

Gateways to Algebra and Geometry, McDougal, Littell, and company, 1994

Pages 124-125 and 318-324.

Mathematics Applications and Connections, Course 3, Glencoe, Macmillian/McGraw-Hill 1995,  pages 177, 178  and  p. 186

Protractors

Straight edge (ruler)

Pretzels

Glue

Poster boards

Magazines or newspapers

Straws

Dictionary (prefer math dictionary or text's glossary)

Additional Resources:  Enrichment worksheets from Glencoe Course 3 text # 2-3 and       # 5-1

Students must have prior knowledge of acute, obtuse, straight, and right angles.   Students must also have prior knowledge of how to use a protractor.

 

Day One

Always begin the lesson by stating the objective for the day and using the focus questions.

Activity One

Students will define:  adjacent, vertical, complementary, and supplementary angles.  Students will put these definitions in the vocabulary section of their notebooks. Students will look up the terms in the appropriate resources provided.

Activity Two

Students will identify examples of these types of angles using the classroom setting.  Students may also use magazines and newspapers provided by the teacher to find real world representation of the types of angles to share with the class.  Students should write in their journal section of their notebook examples pointed out in class.

Activity Three

Students will work with a partner of their choice, and each pair will be given pretzel sticks to make models of the different types of angles One student will demonstrate the types of angles and the other will identify the angles.  Then the students will reverse roles.  The teacher will observe the activities while monitoring the class. Once the teacher has checked for understanding, the students may eat the pretzels.  ( Make sure this is done on paper towels on the desk. The new non-water bacteria soap could be used before this activity.)

Activity Four

This activity will be homework.

Students will have prior knowledge of how to use a protractor and measure angles.

Each student will sketch the four types of angles.  Students will measure (using protractors) one portion of each type of angle leaving the other unmeasured.

 

 

Day Two

Activity One

Review the definitions orally.

Activity Two

Students will work with partner from previous day.  Students will trade homework papers.  Then each will fill in the missing measurements of the sketches without using a protractor.  Then students will work with their partner using a protractor to check their work.  Encourage the students to check all sketches using the protractors.  Have students discuss if the measurements meet the criteria of the definitions.  If not, have students  determine what errors could have occurred.

Activity Three

Ask students to explain how they could determine the degrees of a missing angle if another angle's measurement was given.  Students should write their answers in their journals before sharing ideas with the class.

Activity Four

Students should be shown a sketch of a transversal with only one measurement given.  Students will not be told the sketch is a transversal.  They will be asked " How would the knowledge you have acquired over the past two days help you identify the measurements of these missing angle?"  This would help students realize the objectives learned would carry over into other aspects of geometry.

Activity Five

Students would do the final assessment.  The final assessment would be the poster described in the beginning of the lesson plan.  Students will create the appropriate angle using straws and paste pictures to represent a real world example of the types of angle.

Students should be given the rubric before starting the poster project.

copyright 2002  Richland County School District One