LESSON PLANNING GUIDE Conyers Middle School – 2014-2015 Pre-Planning Worksheet TAPS 1, 2 Content Area Math Grade/Course 8 Unit of Study Unit 1 Transformations, Congruence, and Similarity Instructional Period Week 4 (Transversals and the Triangle sum Theorem Insert a standard(s) below (include code). HIGHLIGHT the SKILLS that students need to be able to do and UNDERLINE the CONCEPTS that students need to know. MCC8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle‐angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so. List Behaviors List Content Determine DOK (what students should be able to do; focus on verbs) (what students should know; focus on concepts) (align to instruction and assessment) Demonstrate, identify, explain, describe DOK Level How can I tell if two figures are similar? • In what ways can I represent the relationships that exist between similar figures using the scale factors, length ratios, and area ratios? • What strategies can I use to determine missing side lengths and areas of similar figures? • Under what conditions are similar figures congruent? • When I draw a transversal through parallel lines, what are the special angle and segment relationships that occur? • Why do I always get a special angle relationship when any two lines intersect? • How can I be certain whether lines are parallel, perpendicular, or skew lines? DOK Levels 2,3 Possible Aligned Activities and Questions TAPS 2, 3, 4, 5 1 Identify key terms for one step equations and the triangle sum theorem. Strategy 1: Create a rigorous system of teaching and learning Specific Results: Institutionalize Cycle for Results plans DOK Ceiling 4 Resources (on/offline) Math Textbook, Worksheetworks.com Action Steps: 1, 2, 3, 6 Performance Indicator: Teacher lesson LESSON PLANNING GUIDE Conyers Middle School – 2014-2015 2 3 4 DOK Level Develop the concept of triangle sum theorem. and the finding missing angles (variables) Explore the relationship between unknown angles within a triangle. Create equations within a triangle with missing angles Relate triangle sum theorem to real life scenarios. Possible Aligned Assessment Items/Tasks TAPS 2, 3, 4, 5 1 Students will define the triangle sum theorem. 2 Solve problems with triangle sum theorem with the unknown angles. 3 Students will create problems utilizing the triangle sum theorem and finding unknown angles via transversals Students will relate triangle sum theorem and transversals to everyday occupations, i.e. architecture, and engineering. 4 Strategy 1: Create a rigorous system of teaching and learning Specific Results: Institutionalize Cycle for Results plans Modeled on Whiteboard, Student work Various Teacher resources Resources (on/offline) Writing Across Curriculum, Math textbook, Teacher assessments Outside resources Action Steps: 1, 2, 3, 6 Performance Indicator: Teacher lesson LESSON PLANNING GUIDE Conyers Middle School – 2014-2015 Standards (Primary) DOK (Ceiling) Integrated 4 MCC8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle‐angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so. KNOW/UNDERSTAND Essential Question/Enduring Understanding: How can I tell if two figures are similar? • In what ways can I represent the relationships that exist TAPS 2, 3 between similar figures using the scale factors, length ratios, and area ratios? • What strategies can I use to determine missing side lengths and areas of similar figures? • Under what conditions are similar figures congruent? • When I draw a transversal through parallel lines, what are the special angle and segment relationships that occur? • Why do I always get a special angle relationship when any two lines intersect? Vocabulary- Tier 1 KNOWLEDGE & SKILLS (Key Vocabulary) Vocabulary Tier 2 Words using to teach Tiers 2-3 Academic vocabulary across content-areas Demonstrate, identify, explain, describe Linear pair, transversal, exterior angles, interior, variables Vocabulary Tier 3 Content-specific, domain-specific . Recognize, Compare, Debate/Defend, TAPS 2, 3, 5 Strategy 1: Create a rigorous system of teaching and learning Specific Results: Institutionalize Cycle for Results plans Action Steps: 1, 2, 3, 6 Performance Indicator: Teacher lesson LESSON PLANNING GUIDE Conyers Middle School – 2014-2015 Pre-assessment to Inform Instruction CRCT Assessment Unit 1 pre-test Daily Formal assessments Assessment for Learning or Assessment of Learning Students will complete the attached assessments TAPS 2, 3, 4 DO Advanced Content Process Product Students can properly create one step equations 1. Guide students to understanding how to apply the triangle sum theorem to every day life. 2. Students will create math problems highlighting the Triangle sum theorem. 1. Students will solve problems with triangle sum theorem utilizing one step equations. Ready Students need to understand x is the variable of a one step equation 1. Guide Students on how to locate missing variables within a triangle using triangle sum theorem. Need Prerequisites Classify angles 1. Review inverse operation, negative and positive integer operations solve one step equations Characteristics of a triangle 1Students will create real life scenarios in which transversals would relate. 1. Students will solve one step equations. 2. Students will add and subtract integers. 3. Students will multiply and divide integers. operations with fractions and decimals TAPS 2, 3, 5, 6, 8 Steps to Deliver the Lesson Using WICOR Strategy 1: Create a rigorous system of teaching and learning Specific Results: Institutionalize Cycle for Results plans AVID ® Action Steps: 1, 2, 3, 6 Performance Indicator: Teacher lesson LESSON PLANNING GUIDE Conyers Middle School – 2014-2015 Engage (Hook, introduction to lesson concepts) 1. Review one step equations. 2. Identify and classify various triangles. WICOR: Explore/Explain (teaching content all students need to know, understand and be able to do as determined by unpacked standard) 1. Solve random problems explaining how you got your answer using words instead of numbers. 2. Students will find the errors in their peers work, and explain how to correct the mistakes. WICOR: Enrich/Elaborate (differentiation of process ) . Students will solve problems with transversals using their own words in a Writing Across Curriculum activity. Students will also show diagrams for their writing. WICOR: Evaluation (Formative assessment) Students will evaluate and grade their peer’s work after they have created their own problems. Students will complete assessment with transversals and Triangle Sum theorem.. WICOR: Resources Math Workbook, Worksheetworks.com, studyisland.com, gameaquarium.com Classroom Performance System (Clickers.) Strategy 1: Create a rigorous system of teaching and learning Specific Results: Institutionalize Cycle for Results plans Action Steps: 1, 2, 3, 6 Performance Indicator: Teacher lesson