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RHS Daily Lesson Plan Template Analytical Geometry Day & Date: Monday 9-8 Standard: MCC9-12.G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. Essential Question/Learning Goal: How do I know which method to use to prove two triangles similar? Lesson Opener: (10 min.) Clicker Questions Procedures/Strategies: (35 min.) Watch video of proving triangles similar in proof form and paragraph form Work with table groups to prove that the triangle is similar in proof form and paragraph form. Make a poster of your work. Check posters created by other groups and post a comment on how to improve the work. (Differentiated Activity) Create a Doceri movie of proving your triangle similar. Lesson Summarizer: (10 min.) Complete Deconstructing the standard on page 12 and 13 of your notebook. Assessment/Evaluation: clicker questions, poster, video, deconstructed standard. Materials Needed: ipad, clickers, doceri app, poster paper, markers, sticky notes. Guided notes for Pythagorean Theorem. 1 Day & Date: Tuesday 9-9 Standard: MCC9-12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. Essential Question/Learning Goal: How do I use similar triangles to prove the Pythagorean theorem? Lesson Opener: (10 min.) Clicker questions Procedures/Strategies: (35 min.) Begin Deconstructing the standard. Place on page 14, highlight and define terms Discuss video watched for homework Work with a partner on worksheet involving similar triangles. Check answers with another group of students (differentiated assignment—find a Youtube video on proving the Pythagorean Theorem) Lesson Summarizer: (10 min.). Parking Lot: Identify items that are still confusing to you. Assessment/Evaluation: Clickers, iPad, worksheet, parking lot Materials Needed: ipads, sticky notes, markers, guided notes on proving angles congruent 2 Day & Date: Wednesday 9-10 Standard: MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. Essential Question/Learning Goal: How do I prove geometric theorems involving lines and angles? Lesson Opener: (10 min.) Clicker questions Procedures/Strategies: (35 min.) Deconstruct the standard paste on page 16 Matching: Have students match the correct names with each of the types of angles formed by parallel lines and a transversal. Work in groups to complete Identifying Angles worksheet/Review answers Individual work on Similar Triangle worksheet. Check answers with another student (Differentiated activity-Make a telegami proving one of the angle theorems.) Lesson Summarizer: (10 min.) Complete deconstructing the standard on page 16 and 17 Assessment/Evaluation: clickers, matching, worksheet, deconstructing the standard Materials Needed: iPad, clickers, glue, notebook, telegami app, guided note on triangle proportionality 3 Day & Date: Thursday 9-11 Standard: MCC9-12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. Essential Question/Learning Goal: What strategies can I use to determine missing side lengths and areas of similar figures? Lesson Opener: (5 min.) Clicker questions Procedures/Strategies: (35 min.) Error analysis: have a triangle with a parallel line to one side and a proportion set up incorrectly. Have each group try to find the mistake. Review video and discuss the Triangle proportionality Theorem Work with a partner to complete Triangle Proportion Practice worksheet Lesson Summarizer: (15 min.) Complete deconstructing the standard on page 14 and 15 Assessment/Evaluation: clicker questions, Triangle Proportion practice worksheet, error analysis Materials Needed: calculator, iPad, notebook, glue 4 Day & Date: Friday 9-12 Standard: Understand similarity in terms of similarity transformations MCC9-12.G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor: a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor. MCC9-12.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 the proportionality of all corresponding pairs of sides. MCC9-12.G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. Prove theorems involving similarity MCC9-12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. MCC9-12.G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Prove geometric theorems MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. Essential Question/Learning Goal: What do I need to review in order to be successful on the Analytical Geometry Test? Lesson Opener: (15 min.) Deconstruct Standard GSRT 5 completely Procedures/Strategies: (30 min.) Review station activities: Students will choose 4 stations to complete Each table group will be assigned a station to present worked correctly to the class Lesson Summarizer: (10 min.) PMI Make a list of the things you did well on, things you still need to work on and what you think we should focus on Tuesday. Assessment/Evaluation: station activities and presentations Materials Needed: Calculator, stations enlarged, iPad 5