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RHS Daily Lesson Plan Template Analytical Geometry Day & Date: Monday 9-29-2014 Standard: MCC9-12.G.CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. MCC9‐12.G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Standard: MCC9-12.G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions MCC9-2.G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Essential Question/Learning Goal: How can I apply the theorems about triangles? Lesson Opener: (10 min.) Read standards in notebook and review the evidence. Procedures/Strategies: (45 min.) Congruence quiz Deconstruct standard GCO 10 Lesson Summarizer: (5 min.) Parking Lot: Write an area that you are still having difficulty with on Congruence. Assessment/Evaluation: congruence quiz, summarizer Materials Needed: Quiz, ipads, sticky notes 1 Day & Date: Tuesday 9-30-2014 MCC9-2.G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Essential Question/Learning Goal: What does the Isosceles Triangle theorem tell you? Lesson Opener: (10 min.) 3 clicker questions Procedures/Strategies: (35 min.) Watch video of proofs Use geogebra to prove graphically that the triangle theorems always work Lesson Summarizer: (10 min.) Blog: Describe what each of the triangle theorems are telling you. Assessment/Evaluation: Clicker questions, geogebra activity, blog Materials Needed: geogebra app, clickers, ipad 2 Day & Date: Wednesday 10-1-2014 Standard: MCC9-2.G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point Essential Question/Learning Goal: What is special about the angles and sides of an isosceles triangle? Lesson Opener: (10 min.) Use patty paper to create an isosceles triangle and draw a conclusion about the base angles. Procedures/Strategies: (35 min.) Create a poplet to illustrate the properties of an isosceles triangle. Present poplets to class on smart board. Complete practice problems on applying the Isosceles Triangle Theorem Lesson Summarizer: (10 min.) Write a letter to a classmate who was absent describing what you know about isosceles triangles. Assessment/Evaluation: Activator, poplet, practice problems Materials Needed: patty paper, ipad 3 Day & Date: Thursday 10-2-2014 Standard: MCC9‐12.G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Essential Question/Learning Goal: How do I prove geometric theorems involving lines, angles, triangles, and parallelograms? Lesson Opener: (10 min.) Clicker questions Procedures/Strategies: (40 min.) Using the geogebra app create a parallelogram. Use the parallelogram to draw conclusions about the opposite side lengths, opposite angles, and consecutive angles Students will complete Socrative space race. Lesson Summarizer: (5 min.) Begin deconstructing the standard Assessment/Evaluation: Clicker questions, geogebra activity, Socrative Materials Needed: ipad, clickers, glue 4 Day & Date: Friday 10-3-2014 Standard: MCC9‐12.G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Essential Question/Learning Goal: How do I prove geometric theorems involving lines, angles, triangles, and parallelograms? Lesson Opener: (10 min.) Use straws to create diagonals of a parallelogram. Determine the midpoint of each straw and have them intersect at the midpoints. Connect the endpoints of the diagonals and see what type of quadrilateral will be formed. Procedures/Strategies: (30 min.) Each table group will get a parallelogram to solve. Make a poster displaying your work. Present to class Lesson Summarizer: (10 min.) Complete graphic organizer on properties of parallelograms Assessment/Evaluation: Activator, station activity, page 221.Watch video on diagonals of special parallelograms. Homework—Find a Youtube video about diagonals of rectangles, rhombus, or a square. Materials Needed: straws, rulers, station problems, graphic organizer 5