Teacher: Pollock Room #: 237 Lesson # in Unit: 8.6 Date(s) 2/6-2/7 Academic Standard for Mathematics Period (s):5,7,6 Lesson Topic:Similarity of Triangles Type of Mathematical Knowledge Objective is seeking to measure https://learningconnection.doe.in.gov/Standards/PrintL ibrary.aspx Lesson Objective By the end of the lesson, students will be able to: Declarative Procedural Conceptual Find lengths of segments in figures using similarity theorems. Standards: G.4.4 Use properties of congruent and similar triangles to solve problems involving lengths and areas. G.4.5 Prove and apply theorems involving segments divided proportionally. Standards for Mathematical Practices Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Mathematic Conceptual Categories Number and Quantity Algebra Functions Modeling Geometry Statistics and Probability Common Core Literacy Standards: https://learningconnection.doe.in.gov/Standards/PrintLibrary.aspx Reading/Writing for Technical Subjects: G-SRT.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and proportionality of all corresponding pairs of sides. G-SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Supporting Diverse Learners Student Assets: Students know how to solve proportions but will need some help seeing visualizing similar triangles in certain pictures and situations. They will just be introduced to new theorems involving similarity and proportions. Anticipated Challenges: The biggest challeng in this lesson will be moving outside for the activity with everyone knowing what to do, how to do it, with the correct materials, and in a timely manner. I will need to be very explicit with the students to make sure everyone understands the directions. Considerations for IEP and/or ILP: This lesson is designed for students who do not necessarily understand material well from just taking notes. It allows students to experience the material in a different way. Checklist Overview: Use the checklist below to select your method(s) and your support strategies for this lesson. In the agenda section that follows, be sure to name the strategies in the appropriate section. Rationale for Method(s): Why are you approaching the lesson this way? I want to do this lesson in a way which will spark student interest and then let them explore that interest while doing something unusual. During warm-up and homework, students will have questions about the indirect measurement problems. Right after the problems that students will have questions with, they will go do the mirror activity. The mirror activity allows students to experience the concept hands on and work together in groups to socially construct understanding. The notes taken will be very quick and will give students a lot of time to work through guided practice problems to apply the theorems introduced. The last thing in class will be to go over quizzes over 8.1-8.4. We will need to address certain problems that were missed by most problems. Method(s) for Instruction Class/Group Discussion Cooperative Learning Small Group Guided Practice Lecture or Direct Instruction Question/Answer Learning Stations Study Skills Two column notes Guided note taking Opinion-proof chart Problem-solution chart Venn diagram Cause and effect frames MVP Most Valuable Point Creating metaphors Other Teacher Modeling/Demo. Journal writing Role Play Hands-on Inquiry Learning Game Simulation/Role Playing Independent Learning Other Reading Strategy EQW Experience/Questions/still wondering KWL (word problem chart) Five-Step Problem solving Reciprocal teaching Graphic Organizer Anticipation/Prediction guides Word Problem Roulette Problematic Situation Read-talk-write Directed reading thinking activity Other Use of Technology Cell Phone PollEverywhere.com CPS Clickers Elmo Document Camera Software Student Computers Teacher Computer w/LCD Video Clips/DVD Website Web 2.0 tool Other Writing Strategy Learning Logs Question/Answer Relationship Question the Author RAFT Writing to Learn Social-academic language translations Graphic organizers Outlining Other: Vocabulary Strategy Frayer model List-group-label Semantic feature analysis Word Sorts Number Cubes Cue Cards Vocabulary selfawareness activity Creating metaphors Concept Definition Maps Other Strategies Rationale: Why are you selecting these support strategies? What will these help you and your students accomplish? I want the students to understand the mathematical vocabulary and language in a way that students can understand. Agenda: Warm up - Review leading up to indirect measurement Check HW - finish with #29 mirror problem. Leave them hanging a little then introduce Mirror activity. Mirror Activity - Go outside and have students take measurements. Be sure to make the directions very clear and straightforward. Notes 8.6 Guided Practice - Pg 203 #310 Agenda Anticipatory Set: How will you support students in accessing prior knowledge, personal, real world, and/or cultural connections? The warm up and homework check will address problems that will directly relate to the activity we'll do in class. During: What support strategies will you use to scaffold students learning so they meet or exceed targeted objective? The mirror activity will help kids to understand proportionality of similar triangles which is the topic for this and the previous lessons. Notes and guided practice problems will get students more involved with different shapes and forms of similarity. Wrap up/Closing: How will you engage students in self-assessment and/or reflection on key concepts taught? I'll have kids fill out exit slips. The question will be, "How did the mirror activity help you understand the concept of similarity better?" Formative: Summative: Class discussion Test CPS clickers Project Email teacher Report knowledge Entrance/Exit slip Presentation comprehension Teacher Observe Final Exam application Other Thumbs up, neutral, or down analysis Homework check synthesis Listened to conversations evaluation Math Journal Quiz Video quiz Voting Whiteboard Check Other Use of Materials Additional Teacher Preparation: Teacher’s Manual pg # Copy: Warm up, Notes 8.6, mirror activity, WKST 8.6 Student Text pg # 203 Picture Books Locate: HW Key, mirrors, tape measures Handouts: warm up, notes, mirror activity, wkst 8.6 Manipulative:mirror, tape measure Related Equipment: Adapted materials: Daily Assessment How do you know your students met your lesson objective(s)? Additional Reference/Sources of Information: Daily Reflection This would be a section at the end for the teacher to note any strengths or weaknesses of the plan. What worked well? What needs to be changed for next year? What are the next steps for the students and how will you get them there? Class went very well in blocks 7 and 5. But, in block 6, the students were moving very slowly and were unengaged. I worked to get them back on track but they were still moving slowly so we didn't get through all the notes. I talked with Amanda about how much I should involve students in the plan for the day and how I need to make sure everything important has to get done.