RHS Daily Lesson Plan Template Analytical Geometry
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1 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. How do I know which method to use to prove two triangles similar? Lesson Opener: (10 min.) Clicker Questions 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. 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
2 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. How do I use similar triangles to prove the Pythagorean theorem? Lesson Opener: (10 min.) Clicker questions 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). 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
3 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. How do I prove geometric theorems involving lines and angles? Lesson Opener: (10 min.) Clicker questions 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.) 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
4 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. What strategies can I use to determine missing side lengths and areas of similar figures? Lesson Opener: (5 min.) Clicker questions 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
5 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. 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 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
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