Unit 6 - Quadratic Relations

 

Student Unit Notes: MFM2P Unit 6 Notes.pdf

Worksheets: N/A

 

Goals for this unit:

I can identify non-linear relations.

I can identify the rate of change in a quadratic relation and interpret its properties.

I can represent a quadratic relation three ways and apply it to real-world situations.

 

  

1)      Topic:                  Explore Non-Linear Relations

 

        Learning Goal:  I can recognize a linear relationship when it is represented by a set of ordered pairs that I can graph.

 

        U6L1 Explore Non-Linear Relations

 

        Video lesson(s):        http://www.youtube.com/watch?v=A_NBQCvV2yY&feature=youtu.be

 

        Text work:              Page 241, #1, 2, 5, 6, 8

 

 

2)      Topic:                  Modelling Quadratic Relationships

 

        Learning Goal:  I can recognize the equation of a quadratic relation and use a graphing calculator to find the equation that best fits the curve.

 

        U6L2 Modelling Quadratic Relationships

 

        Video lesson(s):        http://www.youtube.com/watch?v=ZmQarDTGhDc&feature=youtu.be

 

        Text work:              Page 249, #1, 2, 4, 5, 9, 10

 

 

3)      Topic:                  Properties of Parabolas

 

        Learning Goal:  I know what the key features are of a quadratic relation and I can use a graph and equation to identify them.

 

        U6L3 Properties of Parabolas

 

        Video lesson(s):        http://www.youtube.com/watch?v=yA-jRIfZ9_k&feature=youtu.be

 

                                       http://www.youtube.com/watch?v=_A09hziGSHI&feature=youtu.be

 

        Text work:              Page 260, #1

                                     Page 261, #3, 4, 6, 8

 

 

4)      Topic:                  Rates of change in a quadratic relation

 

        Learning Goal:  I can determine if a relationship is linear or quadratic by looking at the first and second differences

 

        U6L4 Rate of Change in Quadratic Relations

 

        Video lesson(s):        http://www.youtube.com/watch?v=diVRTMWol7U&feature=youtu.be

 

        Text work:              Page 269, #1 - 5, 7

 

 

5)      Topic:                  Interpret Quadratic Relations

 

        Learning Goal:  I can answer questions about relationships by modelling with a parabola and examining the graph

 

        U6L5 Interpret Quadratic Relations

 

        Video lesson(s):        http://www.youtube.com/watch?v=1hWkzcY-aEs&feature=youtu.be

 

        Text work:              Page 323, #1 - 6, 9

 

 

 

6)      Topic:                  Represent Parabolas Different Ways

 

        Learning Goal:  I can get information about a parabola by looking at the different forms of its equation.

 

        U6L6 Represent Parabolas Different Ways

 

        Video lesson(s):        http://www.youtube.com/watch?v=IxJtIoUBfZg&feature=youtu.be

 

        Text work:              Page 333, #1 - 8, 13   

 

 

 

7)      Topic:                  Quadratic Relations of the Form y = ax² + c

 

        Learning Goal:    I know how changes to the equation of a parabola will change the graph.

 

        U6L7 The Quadratic Relation y=ax²+c

 

        Video lesson(s):        http://www.youtube.com/watch?v=Ow7rEUJtNy4&feature=youtu.be

 

        Text work:              Page 341, #1 - 6, 9, 10, 11    

 

 

 

8)      Topic:                  Solving Problems with Quadratics

 

        Learning Goal:  I can solve problems modelled with Quadratic Relations with technology

 

        U5L8 Solving Problems With Quadratic Relations

 

        Video lesson(s):        http://www.youtube.com/watch?v=6Rf06ljo-xU&feature=youtu.be

 

        Text work:              Page 347, # 1 - 5, 7, 9, 11

 

 

Unit  Review: