Anticipation Guide—Monday---March 17th Before the lesson, write “A” for agree or “D” for disagree beside each statement. After or during the lesson, make corrections as needed. Before Lesson Agree or Disagree) Statement Supplementary angles have a sum of 180°. Adjacent angles share a common ray. Vertical angles are complementary. Vertical angles are congruent. You can ALWAYS name an angle with its vertex. Complementary angles have a sum of 95 degrees. After Lesson (Agree or Disagree) Standard: Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure. [7-G5] Part A—What is an angle and how do we name an angle? An angle is a figure formed by two noncollinear rays that have a common endpoint. Given the angle below, label the sides and the vertex. Using the example above, name the angle below several different ways. Use the figure to the right to answer the following. a. Can you name vertex W to name any angle in the figure to the right? Why or why not? b. What are other names for <1? c. What are other names for < 2? d. What is the name of the largest angle with “W” as a vertex? Special Types of Angles a. Name the two adjacent angles using three letters. b. Name their common ray. c. What large angle do the two adjacent angles make? Determine whether <1 and <2 are adjacent in the following figures. If not, please state why. a. a. c. c b. Complementary Angles Note: Complementary angles DO NOT need to have a common side or even the same vertex; however, they can. ? What is the measure of <TZU? Supplementary Angles ? What is the m <PHQ? Vertical Angles Note: Vertical angles DO NOT add up to a certain sum like complementary and supplementary angles. Instead they are congruent---which means they have the same measure. 130 x° What is the value of x? _________ Snowball fight Activity---In this activity, you will take the ball of paper on your desk and throw it at any student (not in the face or close to the face). You will continue to pick up the snowballs until I say stop. Once I say stop, you must unravel your snowball and decide what type of angles are on your paper. “Supplementary, Complementary, or Vertical” You will then stand and show the class. You must explain why you think your angles are _____________________. If you do not have a paper in your hand when I say stop, you will find one on the floor and pick it up. Have Fun!!!! Homework: None DO NOW---Tuesday March 18th Two angles that sum to 90° are called _____________________________. When put together, these angles form a ________________ ________________. Sketch: Two angles that sum to 180° are called _____________________________. When put together, these angles form a ________________ ________________. Sketch: Two angles that share a _____________ _ _ and are opposite of one another are called __________________ ___________________. These angles are formed by lines that _____________________ and are always ______________________. Sketch: Reading Complex Diagrams or Figures a. Name two vertical angles. b. Name two supplementary angles. c. Name two complementary angles. d. Name two adjacent angles. Reading Complex Diagrams or Figures e. Name two vertical angles. f. Name two supplementary angles. g. Name two complementary angles. h. Name two adjacent angles. Reading Complex Diagrams or Figures i. Name two vertical angles. j. Name two supplementary angles. k. Name two complementary angles. l. Name two adjacent angles. Reading Complex Diagrams or Figures m. Name two vertical angles. n. Name two supplementary angles. o. Name two complementary angles. p. Name two adjacent angles. Complete 6 handwritten problems finding missing angle measures. Homework: 1-18 on kutasoftware worksheet http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/2-Angle%20Pair%20Relationships.pdf Exit Pass a. Name two vertical angles. b. Name two supplementary angles. Flip over and complete hand-written problems. c. Name two complementary angles. d. Name two adjacent angles. Notes: Wednesday, March 19th If we know the relationship between two angles, we can set up an ______________________ to solve for unknown values. Find the value of x and then each angle measure. Figure 1 : Value of x(use equation): Figure 2: Value of x(use equation): Type of angles: Angle measures(use substitution): Type of angles: Angle measures(use substitution): Figure 3: Value of x(use equation): Figure 4: Value of x(use equation): Type of angles: Angle measures(use substitution): Type of angles: Angle measures(use substitution): Figure 5: Value of x(use equation): Figure 6: Value of x(use equation): Type of angles: Angle measures(use substitution): Type of angles: Angle measures(use substitution): Figure 7: Value of x(use equation): Figure 8: Value of x(use equation): Type of angles: Angle measures(use substitution): Type of angles: Angle measures(use substitution): Given: 𝑚 < 𝐴 = (4𝑥 − 2)° 𝑎𝑛𝑑 𝑚 < 𝐵 = (11 + 17)° 9a. Find x if the angles are complementary. 9b. Find the angle measures. 10a. Find x if the angles are supplementary. 10b. Find the angle measures. Homework: 1-12 homework—finding the value of x and missing angle measures. Teacher made worksheet Exit Pass Got It _____ Figure 1: Value of x(use equation): Figure 2: Value of x(use equation): Almost Got It _____ Lost _______ Type of angles: Angle measures(use substitution): Type of angles: Angle measures(use substitution): Do Now—March 20th—Thursday 1. 2. 3. 4. Find the value of x. During: 15 problems involving problem solving with special types of angles will be placed randomly around the room. Pairs will be stationed at different groups. Pairs will solve the problem and find the problem containing their answer. The answer will be on another problem in the room. Pairs must then walk to that particular problem , solve it , and walk to the problem containing that particular answer. Pairs will move from problem to problem depending on the answer they get. This will continue until they go all the way back to their original problem. This is called a math scavenger hunt. I will help all pairs that are struggling. Homework: None Exit Pass Got It___ Almost Got It____ Lost____ Find the value of x and the missing angle measure. 1. 2. 3. 52 Do Now----Friday--- March 21st Find the value of x and each missing angle measure. A. B. C. During: a. Quiz on standard 7G5 b. Complete “Find Missing Angle Measures Task Cards” (1-16 loaded on teacher webpage) OR work on project. Check responses to task cards by scrolling to the end of the document. Directions to get to information below. www.cms.coosaschools.k12.al.us School Staff Pamela Belyeu File Manager Geometry Unit Some students will have 20 minutes of free laptop time. This will be for specific groups that chose this option as a reward after completing station reviews two weeks ago. https://share.ehs.uen.org/sites/default/files/07.03_Part_1_Complem entary,_Supplementary_Vertical_Angles.pdf Happy Spring Break