Lesson plan #2.5 - Properties of Geometric Figures
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Subject:MPM2D MATHEMATICS |
Grade: 10 |
Lesson No: 2.5 |
Duration: 3 hours |
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Unit 2 - Analytic Geometry |
Topic: 2.5 - Properties of Geometric Figures |
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Overall Expectations (Directly from The Ontario Curriculum) |
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model and solve problems involving the intersection of two straight lines; solve problems using analytic geometry involving properties of lines and line segments; verify geometric properties of triangles and quadrilaterals, using analytic geometry |
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Specific Expectations (Directly from The Ontario Curriculum) |
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– determine, through investigation (e.g., using dynamic geometry software, by paper folding), some characteristics and properties of geometric figures (e.g., medians in a triangle, similar figures constructed on the sides of a right triangle); 50 THE ONTARIO CURRICULUM, GRADES 9 AND 10: MATHEMATICS – verify, using algebraic techniques and analytic geometry, some characteristics of geometric figures (e.g., verify that two lines are perpendicular, given the coordinates of two points on each line; verify, by determining side length, that a triangle is equilateral, given the coordinates of the vertices); – plan and implement a multi-step strategy that uses analytic geometry and algebraic techniques to verify a geometric property (e.g., given the coordinates of the vertices of a triangle, verify that the line segment joining the midpoints of two sides of the triangle is parallel to the third side and half its length, and check using dynamic geometry software; given the coordinates of the vertices of a rectangle, verify that the diagonals of the rectangle bisect each other). |
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Learning Goals |
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Today you will Verify Properties of Geometric Figures |
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Success Criteria |
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By the end of class: - I can use analytic geometry to verify properties of geometric figures |
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Materials and Resources |
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- Graphing calculator and/or graph paper - Laptop with Internet access |
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Lesson Structure and Activities |
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Timing |
Lesson |
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~10 minutes ~20 minutes ~20 minutes ~60 minutes ~60 minutes ~10 minutes
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1. Students to Read Lesson Plan 2. Students to Study Glossary 3. Students to complete Warmer Question 4. Students to study Lesson 5. Students to complete Assignment 6. Students to complete Exit card
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