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Harrison High School: Lesson Plans Week-At-A-Glance WEEK: 10/31- 11/4 ACC. Math I Monday Essential Question: Tuesday Essential Question: Wednesday Essential Question: Thursday Essential Question: Friday Essential Question: What is the relationship between angles and sides of polygons? What is the relationship between angles and sides of polygons? How do we prove properties of polygons? How do we prove properties of polygons? What are the properties of convex polygons and how are they proven? Standard: MM1G3: Standard: MM1G3: Standard: : MM1G3: Standard: MM1G3: Students Standard: MM1G3: Students Students will discover, prove, and apply properties of triangles, quadrilaterals, and other polygons. a. Determine the sum of interior and exterior angles in a polygon. b. Undertand and use the triangle inequality , the side-angle inequality and the exteriorangle inequality. Students will discover, prove, and apply properties of triangles, quadrilaterals, and other polygons. a. Determine the sum of interior and exterior angles in a polygon. b. Undertand and use the triangle inequality , the side-angle inequality and the exterior-angle inequality. Students will discover, prove, and apply properties of triangles, quadrilaterals, and other polygons. a. Determine the sum of interior and exterior angles in a polygon. b. Undertand and use the triangle inequality , the side-angle inequality and the exterior-angle inequality. will discover, prove, and apply properties of triangles, quadrilaterals, and other polygons. c. Understand and use congruence postulates and theorems for triangles(SSS,SAS,ASA,AAS,HL) will discover, prove, and apply properties of triangles, quadrilaterals, and other polygons. c. Understand and use congruence postulates and theorems for triangles(SSS,SAS,ASA,AAS,HL Objectives: Objectives The student will Objectives: : Objectives: The student will : 1. Find measures of transversal angles, 2. Find angle measure using triangles, vertical angles and linear pair relationships. 3. determine the sum of the interior and exterior angles in a polygon. 4. Understand and use the triangle inequality ,side-angle inequality and the exterior angle inequality. The student will: 1. Understand and use the triangle inequality ,side-angle inequality and the exterior angle inequality. Objectives: The student will The student will : 1. Find measures of transversal angles, 2. Find angle measure using triangles, vertical angles and linear pair relationships determine triangle congruence and prove triangles congruent using SSS,SAS,AAS, ASA,HL. determine triangle congruence and prove triangles congruent using SSS,SAS,AAS, ASA,HL. Activities: Go over angle measure worksheet given on Friday. Complete packet of terms using transversal angles. Give students two diagrams: one with nonparallel lines and a transversal and another Activities:Class starter ( ticket in the DOOR- Formative assessment) . Notes on polygons using a graphic organizer. POWERPOINT LESSON FOR NOTES > Paper folding activity Activities: IRESPOND , for class starter ( if do not finish on tues). Go over exterior angle task from TUES. Class practice worksheet on interior and exterior angle measures ( using formulas). Activities:Formative assessment- quiz over interior/exterior angles and triangle inequality. Measure and construct triangles to prove 5 test for triangle congruence. ( SSS,SAS,AAS,ASA) give reasons and Activities Class starter- Draw pictures to illustrate 4 ways to prove triangles congruent. Turn in for cw/hw grade. Discuss exception to the ambiguous case- SSA using HL theorem. Show drawings done by student on ways to with parallel lines and transversal. ( StUDENT CENTERED ACTIVITY Discover transversal angle types and relationships ( congruent or supplementary )Break into RED color groups, worksheet for hw on transversal angles. CLOSURE: review , BY QUESTIONING<using diagrams on overhead : name transversal angles types and give the relationships. Complete worksheet for hw , if necessary. to show triangle sum theorem, and exterior angle theorems. (Kinesthetic and visual learning styles addressed) Students will be assigned RED groups based on readiness. Break into groups.( STUDENT CENTERED ACTIVITY) Triangle inequality task with spaghetti noodles. Use calculator if needed. Review results. Hand out Interior angle Task – discovery activity to find interior angle sum of convex polygons and 1 interior angle of regular polygons.This investigation will use a chart that leads to interior angle sums of convex polygons. SUMMARIZE - review formula. Begin Exterior angle task, if time permits,IRESPOND (technology) formative assessment for quiz grade. Go over worksheet in class and use as a review for quiz on thurs. Begin GEOMETRY TOOLKITreasons used in proofs ( definitions, theorems, and postulate). Give notes on properties in algebra and show how to prove algebraically. Using the same logic( deductive reasoning) , show how to prove triangles congruent using a flow chart. Worksheet on congruency for HW. TIX out the DOORGiven a triangle congruency – state all angles and sides congruent. illustrate why SSA and AAA are not ways to prove triangles congruent. THINK/PAIR/SHARE -Give worksheet in class and have students work with a partner to determine which Theorem aforementioned is used. Begin basic triangle proofs using informal(picture proofs) and formal 2 column methods. prove triangles congruent. Go over hw and address related questions. Continue working with partners from Thursday and prove triangles congruent using 2 column method. Go over worksheet and take questions. Hw- worksheet on triangle congruence and proofs. Summarize lesson using powerpoint. *Template created by AVID.