[TEA-T2] MPM2D Princ ...

Subject:MPM2D MATHEMATICS

Grade: 10

Lesson No: 5.4

Duration: 3 hours

Unit 5 - Applying Quadratic Models

Topic: 5.4  Solving Problems Using Quadratic Relations

Overall Expectations (Directly from The Ontario Curriculum)

• determine the basic properties of quadratic relations; • relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h) 2 + k; • solve quadratic equations and interpret the solutions with respect to the corresponding relations; • solve problems involving quadratic relations

Specific Expectations (Directly from The Ontario Curriculum)

determine the zeros and the maximum or minimum value of a quadratic relation from its graph (i.e., using graphing calculators or graphing software) or from its defining equation (i.e., by applying algebraic techniques); – solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology (e.g., given the graph or the equation of a quadratic relation representing the height of a ball over elapsed time, 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?).

Learning Goals

Today you will learn to Solving Problems Using Quadratic Relations

Success Criteria

By the end of class:

-    I can Model and solve problems using the vertex form of a quadratic  relation.

Materials and Resources

-    Graphing calculator and/or graph paper

-    Laptop with Internet access

Lesson Structure and Activities

Timing

Lesson

~10 minutes

~20 minutes

~20 minutes

~60 minutes

~60 minutes

~10 minutes

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