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Teacher:__________________________________ Course:_______________________________________________ Dates:______________________________ Class Time Common Core STANDARD: Date: Date: By the end of this lesson, students will… Know: Understand: Date: 1-4-12 Date: 1-5-11 Date: 1-6-12 2.4a- Similarity in triangles 2.4a- Similarity in triangles 2.4a- Similarity in triangles Know what a proportion is and how it relates to similar triangles. Know what a proportion is and how it relates to similar triangles. Know how to set up an extended proportion to solve for an unknown side in similar polygons. What is meant by similar polygons and how this compares to congruent polygons. What is meant by similar polygons and how this compares to congruent polygons. Set up extended proportions based on the name of similar figures. Set up extended proportions based on the name of similar figures. Be able to Do: Differentiated Instruction Content Process Product Multiple Intelligences Visual Verbal Interpersonal Intrapersonal Kinesthetic Natural Logical/Mathematical Opening: Interest Readiness Learning Profile Content Process Product Interest Readiness Learning Profile Visual Verbal Interpersonal Intrapersonal Kinesthetic Natural Logical/Mathematical Content Process Product Interest Readiness Learning Profile Content Process Product Interest Readiness Learning Profile Students will understand what proportional increase in size means and how that does not affect angle measure. Solve for unknown sides by choosing necessary information to set up proportions. Content Interest Process Readiness Product Learning Profile Visual Verbal Interpersonal Intrapersonal Kinesthetic Natural Logical/Mathematical Visual Verbal Interpersonal Intrapersonal Kinesthetic Natural Logical/Mathematical Visual Verbal Interpersonal Intrapersonal Kinesthetic Natural Logical/Mathematical Do Now: Students will solve for an unknown angle using the properties of congruency between two triangles. Do Now: Students will solve for an unknown angle using the properties of congruency between two triangles. Teacher will connect the skills used previously by showing how the naming Teacher will connect the skills used previously by showing how the naming Do Now: Students will solve ratios for an unknown variable and also use an indirect proof/deductive reasoning to determine an unknown angle between two similar triangles. 15-25 Context & KUD BAV Connect to prior knowledge Direct Instruction Date: Teacher will demonstrate Con Pro Pro Visu Inte Intr Kine Log Teacher:__________________________________ Course:_______________________________________________ Dates:______________________________ Provide rubrics for group work Learning Exp: 30-50 Small group exploration of new knowledge Active, rigorous, and relevant Informal Assessment Remediation Individual Practice . order of similar figures determines how angles and sides relate. Teacher will demonstrate how to set up proportions, use the cross product, and determine which angles are congruent and which sides are proportional between two similar polygons. order of similar figures determines how angles and sides relate. Teacher will demonstrate how to set up proportions, use the cross product, and determine which angles are congruent and which sides are proportional between two similar polygons. how to use the name and context clues to determine which side matches with which between two triangles. Students will practice using the cross product to determine proportionality, with harder cross product problems included as ACT Algebra review. Students will practice using the cross product to determine proportionality, with harder cross product problems included as ACT Algebra review. Students will work through a worksheet that has them list congruent angles and proportional sides. Students will work through a worksheet that has them list congruent angles and proportional sides. Students will work through problems of increased difficulty to solve for unknown sides by using an extended proportion and pulling out ratios from this to make a solvable cross product equation. Then students will prove that two polygons are congruent by determining if sides are proportional and corresponding angles truly are congruent. Then students will prove that two polygons are congruent by determining if sides are proportional and corresponding angles truly are congruent. Teacher will emphasize the importance of trusting the name of similar figures, as the actual figures themselves can be misleading. Students will then be given a homework sheet that reviews proportions and has the students determine if two polygons are similar and what the measure of unknown sides are between two polygons. Teacher:__________________________________ Course:_______________________________________________ Dates:______________________________ Closing: 10-20 Students share discoveries with class Self-Assessment: What did I learn today? Review rubrics What level of understanding did students reach? Wrap-Up & lead in to next class period Students will finish with a scaffolded homework sheet that they will independently work on to reinforce the day’s lessons. Students will finish with a scaffolded homework sheet that they will independently work on to reinforce the day’s lessons. Students will spend the last 20 minutes of class attempting scaffolded EOI problems dealing with similar polygons. Teacher will again emphasize the importance of the name when he hands out the worksheet. The last ten minutes will be used to check for understanding and go over the 6 EOI problems just covered.
