Lesson plan #3.1 3.1- Properties of Graphs of Quadratic Relations
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Subject:MPM2D MATHEMATICS |
Grade: 10 |
Lesson No: 3.1 |
Duration: 3 hours |
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Unit 3 - Graphs of Quadratic Relations |
Topic: 3.1- Properties of Graphs of Quadratic Relations |
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Overall Expectations (Directly from The Ontario Curriculum) |
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Solve problems by interpreting graphs of quadratic relations. |
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Specific Expectations (Directly from The Ontario Curriculum) |
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– solve problems involving a quadratic relation by interpreting a given graph or a graph generated with technology from its equation (e.g., given an equation representing the height of a ball over elapsed time, use a graphing calculator or graphing software to graph the relation, and answer questions such as the following:What is the maximum height of the ball? After what length of time will the ball hit the ground? Over what time interval is the height of the ball greater than 3 m?); – solve problems by interpreting the significance of the key features of graphs obtained by collecting experimental data involving quadratic relations (Sample problem: Roll a can up a ramp. Using a motion detector and a graphing calculator, record the motion of the can until it returns to its starting position, graph the distance from the starting position versus time, and draw the curve of best fit. Interpret the meanings of the vertex and the intercepts in terms of the experiment. Predict how the graph would change if you gave the can a harder push.Test your prediction.). |
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Learning Goals |
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Today you will Investigate Properties of Graphs of Quadratic Relations |
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Success Criteria |
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By the end of class: - I can describe the key features of the graphs of quadratic relations, and use the graphs to solve problems. |
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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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