BDA Template Lesson Plan Template-(Inquiry) TEACHERS: SUBJECT: 7th grade Math Mr. Nate Roberts STANDARD: 7.G.B 5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. OBJECTIVE (EXPLICIT): Discover Triangle angle theorem and apply to multi-step problems. Use Triangle angle Theorem to solve equations for an unknown angle. Discover vertical angles are congruent. EVIDENCE OF MASTERY (MEASURABLE): BEFORE SUB-OBJECTIVES, SWBAT (SEQUENCED FROM BASIC TO COMPLEX): TSW understand that the angles within a triangle are supplementary. KEY VOCABULARY: MATERIALS: Assortment of different triangles, crayons/markers, White Supplementary Construction paper Complementary Vertical Adjacent Angles Equation ENGAGE (MAKE CONTENT AND LEARNING RELEVANT TO REAL LIFE AND CONNECT TO STUDENT INTEREST) TEACHER WILL: STUDENT WILL: Say: I want you to think to yourselves for the the next 30 seconds what you know about triangles. Think pair share when the 30 seconds is up. Will: Record responses on the board. Should be able to get all type of triangle vocab. Today place more of an emphasis on the angles rather than side lengths. (i.e. obtuse,acute,right, complementary, supplementary) Pose the problem: Write and solve an equation to find the measure of angle x in the following examples. A. B. Says: In geometry we have special names for pairs of angles. Each of these has it’s own unique relationship. Today’s activity will introduce us to these types of relationships as well as help us to solve this problem. Does: Pass out materials. Each student needs their own triangle, 3 different colored markers/crayons, and an 8x11 piece of white/light colored construction paper. ** See triangle templates WS. (below) Or you may have students cut out and create their own unique triangle. **Don’t make triangles to big or to small. I would recommend side lengths of no more than 4 -5 inches. TSW: Cut out their own triangles and mark the angles appropriately. Says: After you have your triangles I want you to take each color and mark each angle within your triangle as a different color.(i.e. angle blue, angle red, angle green) CO-TEACHING STRATEGY IF APPLICABLE Have some triangle cut out for studnets who need them. TEACHER WILL: STUDENT WILL: Model: Step 1: trace the triangle onto the construction paper and mark angle red, angle blue, and angle green. Model this process until finished Step 2: Rotate the triangle clockwise 60 degrees and retrace the triangle. (take special care to make sure the sides are perfectly aligned!!) Remark the new locations of angle red, angle green, and angle blue. Says: To make sure you have done this correctly side “red-green” should now be adjacent or “line up” with side “green-red” DURING Step2 Step1 Continue this process of rotating across the length of the paper. *When the triangle falls off the paper you are done with that row. Step 3: To begin a new “line or row” simply rotate the triangle 60 clockwise down and continue this across. **Depending on level of students 2 rows should be enough. If student wish to fill entire paper of course you will allow them.** Says: When finished with design complete activity questions W.S. (See below for Triangle Activity Pairs of Angles WS). CO-TEACHING STRATEGY IF APPLICABLE TEACHER WILL: STUDENT WILL: Say: Let review our Pairs of Angles WS. While recording on the board student respones. TSW: Discuss responses and journal definitions After #5: Teacher will provide a few more angle problems allowing for more class participation and responses to the process in order to check for understanding AFTER Say: Lets go back to our original problem. In example 1 I see a pair of angles that TSW: Work toward completing the original make a straight line. In your groups can you problem set by writing an equation to help write and sove an equation that will tell us solve for x. the measurement of angle x? Will: Record all responses on the board. Say:In example 2 I see intersecting lines. Discuss within your group an explanation as to how you would prove the measurement of angle X. Can anyone explain why? TSW: respond with 120 because angle x is vertical to the 120 degree angle that was given Discuss with your table another way to prove the angle is 120 degrees TSW: Try to prove in another way using adjacent angles and the fact of a straight line has 180 degrees Discuss appropriate responses In your journal record 2 things you learned from this lesson and one idea that you had difficulty with from this lesson. CO-TEACHING STRATEGY IF APPLICABLE Finished Product B+R+G =180 Alternate Interior (Supplementary) Adjacent Vertical Angles Triangle Template WS Pairs of angles WS Triangle Activity Directions: Use your triangle poster to help answer the following questions 1. When angle Color 1, Color 2, and Color 3 meet at one point what is created? ____________________________________ 2. How many degrees are there in a straight line? ___________________ 3. Can we write an equation that represents this situation? _________________________________________________ 4. We call these special pairs of angles supplementary because together they will add to 180 degrees. Please record this definition in your journal. 5. If angle blue = 50 degrees and angle red = 60 degress what is the measure of angle green? How did you solve it. Did anyone do it in a different way? 6. Use your creation to find where two lines intersect? a. How many angles are created and what are their colors? ___________________________________________________ b. What do we notice about these angles? _________________________________________ 7. Use your creation to find where three lines intersect? How many angles are created and what are their colors? ____________ _____________________________________________________ 8. We know that wherever we see a “blue” angle or “red” angle the measurement for that angle is the same no matter where it is located in our creation. We call angles created by intersecting lines that are equal Vertical angles. Please record this term in your journal and define in your own words. *#5 Teacher may want to do a few more examples to ensure understanding*