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Main Street Academy Lesson Plan Teacher: Clark Period(s): 2nd Start Date: 9/19/11 End Date: 9/19/11 State competency goal and objective: Goal 2.02- Apply the properties, definitions, and theorems of angles and lines to solve problems and write proofs. EQ: How can you prove congruence about segments and angles? Justify statements about congruent segments and angles Write reasons for steps in a proof Materials: released sample items, calculators, proofs practice handout, student text, TV, lady bug, 2.5 proving statements handout (1), proofs 1-3 transparency/ print out, homework quiz 2.5 handout Literacy enhancements: 2 column proof, theorem, paragraph proof, Adaption’s: use print outs instead of transparencies Lesson Steps: 1. Start the lesson: Bell Ringer (5-10 minutes) a) Released Sample (Expanded Set) Goal 2 #4 b) Released Sample (Expanded Set) Goal 2 #5 c) Released Sample (Expanded Set) Goal 2 #6 2. Presentation Notes: Properties of Segment Congruence (2.5) Ex 1 : using the symmetric property Ex 2 : Using congruence Ex 3: Using segment relationship Properties of Angle Congruence (2.6) Ex 1 : Transitive Property of Angle Congruence Ex 2: Using the Transitive property Ex 3: Proving theorem 2.3 Ex 4: proving theorem 2.4 Ex 5: using Linear pairs Ex 6: Proving theorem 2.6 3. Guided practice 1-10 Proving statements about angles and segments (1) Proofs 1-3 4. Independent practice Finish the remaining problems on handouts 5. Evaluation Homework Quiz 2.5 6. Closure Draw and example diagram to show angle 1 and angle 3 are linear pairs with angle 2. Tell two ways you can prove angle is congruent to angle 3. Main Street Academy Lesson Plan Teacher: Clark Period(s): 2nd Start Date: 9/20 End Date: State competency goal and objective: 2.02- Apply the properties, definitions, and theorems of angles and lines to solve problems and write proofs. EQ: How do you use reasoning in geometry to prove statements? Materials: released sample items, calculators, chapter 2 review handout, student text, TV, lady bug, matho board, Literacy enhancements: All vocabulary from chapter 2 Adaption: Lesson Steps: 1. Start the lesson- Bell Ringer (10-15 minutes) Warm ups: review questions from chapter 2 test 2. Presentation Review Chapter 2 : Power point to accompany the chapter 2 review handouts Matho- chpt. 2 geometry terms 3. Guided practice Review Chapter 2 : Power point to accompany the chapter 2 review handouts 4. Independent practice Matho- played like Bingo, students must find correct terms based on diagrams or definitions provided by the teacher. 5. Evaluation Chapter 2 Test 6. Closure n/a Main Street Academy Lesson Plan Teacher: Clark Period(s): 2nd Start Date: 9/21/11 End Date: State competency goal and objective: 2.02 Apply the properties, definitions, and theorems of angles and lines to solve problems and write proofs. Identify relationships between lines Identify angles formed by transversals EQ: How can you determine the relationship between lines and the angle formed by transversals? Materials: released sample items, calculators, transversals and angle types (1) handout, student text, TV, lady bug, slips of paper, large piece of paper, tape, pencils, Activity support Master (chapter 3. resource book) Literacy enhancements: parallel lines, parallel planes, skew lines, transversal, corresponding angle, alt. interior angle, alt. exterior angles, consecutive interior angles, flow proof Adaption: consecutive interior may be called same-side interior angles. Lesson Steps: 1. Start the lesson Algebra Review pg. 124 # (1,3,11,16,20,26,28,50) 2. Presentation Chapter 3 Power point: Parallel and Perpendicular lines 3. Guided practice 3.1: Lines and Angles Ex 1. Identifying relationships in space Ex 2. Identifying angle relationships Checkpoint Exercises: pg 130 (teacher edition) 3.2 : Concept Activity- Forming a flow proof Pg. 135 student text 4. Independent practice Transversals and angle types (1) 5. Evaluation Checkpoint exercises: teacher edition pg. 130-131 Pg. 132 # 112, 14, 18, 22, 28, 36, 40 6. Closure If two lines are cut by a transversal how many pairs of corresponding angles are formed? Main Street Academy Lesson Plan Teacher: Clark Period(s): 2nd State competency goal and objective: Start Date: 9/22/11 End Date:9/22/11 2.02 Apply the properties, definitions, and theorems of angles and lines to solve problems and write proofs. Write different types of proof Prove results about perpendicular lines EQ: How do you write a flow proof? What are the differences between a two-column proof, paragraph proof, and a flow proof? Materials: student text, 3 types of proof using same problem, flow proofs organizer Literacy enhancements: flow proof Adaptions: Lesson Steps: 1. Start the lesson 3.2 Lesson opener: students are drawing lines and making conjectures. 2. Presentation Proof and Perpendicular Lines Ex 1: comparing types of proofs Proving Results about Perpendicular lines Ex 2: proof of theorem 3.1 Parallel and Transversals Theorems about parallel lines Ex 1: proving alternate interior angles theorem Ex 2: using properties of parallel lines Ex 3: classifying leaves Ex 4: using properties of parallel lines- angles Ex 5: estimating earth’s circumference 3. Guided practice Pg. 138 #1-10 Student text Pg. 146 # 1-10 student text 4. Independent practice Pg. 139-141 # 11-23,26,27, 29-36 Properties of parallel lines (2) handout 5. Evaluation Check over problems # 12,16,17,18,19,23 Checkpoint exercises 6. Closure In a two-column proof, what can be written under the reasons column? How is flow different from two columns? Main Street Academy Lesson Plan Teacher: Clark Period(s): 2nd Start Date:9/23/11 End Date:9/23/11 State competency goal and objective: 2.02 Apply the properties, definitions, and theorems of angles and lines to solve problems and write proofs. EQ: How can you prove lines are parallel? Materials: transversals game boards, dice, army men figurines, released sample items Literacy enhancements: none Adaptions: Lesson Steps: 1. Start the lesson: 1.Released Form H #7 2. Released Form H #27 3. Released Item (Expanded Set) Goal 2 #8 3. Presentation: 3.4 Proving Lines are Parallel: Corresponding angle converse Alternate int. angle converse Consecutive int. angle converse Alternate ext. angle converse Ex 1:using corresponding angles converse Ex 2: identifying parallel lines 4. Guided practice: Pg. 153 1-9 student text 4. Independent practice: Play transversal game with partner- identify special angles after warm ups Pg. 153 # 12,18,22,26,28,34 5. Evaluation: Homework Quiz 3.4 6. Closure: If two lines are cut by a transversal, how can you prove the lines are parallel?