MBF3C - Unit 5:
Quadratic Relations

​5-00  Introduction to Quadratic Relations

5-00 Introduction to Quadratic Relations

Page 2
  • Draw a sketch of distance vs. time when driving at a constant speed.
  • Watch this video:
  • Draw a sketch of height vs. time for the rocket.
  • For each graph, what is the shape?  What kind of relationship is it?
  • How would the graph of the rocket change if it went faster? slower?
  • How would the graph of the rocket change if it started on top of a platform?
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Page 3
  • For the most basic linear relationship and the most basic quadratic relationship:
    • make a table of values
    • plot the points and make a graph

Answer this question, and discuss how you solved it with your teacher:
If a projectile is shot vertically upward from the ground with an initial speed of 100 feet per second (neglecting air resistance) its height, h feet, above the ground t seconds after launch is given by the equation:
​After how many seconds will the projectile be 50 ft above the ground?  (Give your best estimate)


​
  • When finished, show all your work to your teacher.
​5-01  Graphs of Quadratic Relations

5-01 Graphs of Quadratic Relations

Page 1
  • Review the Main Goal and Big Ideas for the unit
​
Example A (Page 6)
  • If you don't know how to use the Desmos Graphing Calculator, get your teacher to show you.
  • Graph all 3 equations in Example A (use Desmos)
  • Watch this video:
Examples B - F (Pages 8, 10, 12, 14, 16)
  • Determine the type of equation (standard, factored, vertex) for each example in the booklet
  • When finished, show this to your teacher.

Example A (Page 6)
  • Sketch the parabola.
  • Label the coordinates of the vertex, x-intercepts, and y-intercept
  • Watch this video for help:
Examples B - F (Pages 8, 10, 12, 14, 16)
  • Without using Desmos, sketch the parabola and label the coordinates for the major points for each example in the booklet
  • Complete the first page for each example in the booklet.
  • When finished, show this to your teacher.
​5-02  1st and 2nd Differences

5-02 1st and 2nd Differences

Page 3
  • Complete the 1st and 2nd Differences for each table of values.  Use this video for help:
Example A (Page 7)
  • Complete the table of values and the 1st and 2nd differences.  Use this video for help:
Examples B - F (Pages 9, 11, 13, 15, 17)
  • ​Complete the table of values and the 1st and 2nd differences for each example in the booklet.​
  • When finished, show this to your teacher.

Textbook Work
  • Complete page 174 #1, 2, 3
  • When finished, show this to your teacher.
​EXAMPLE G
  • Ask your teacher for Example G.
  • Complete the sheet and hand it in to your teacher.
5-03  Expanding (standard to factored)

5-03 Expanding (Standard to Factored)

Page 4 (Expanding)
  • Work through examples a, b, d.  Use this video for help:
Page 5 (Practice Expanding)
  • Complete questions a, b, c, e on page 5 of the booklet
  • When finished, show this to your teacher.

Example A (Page 7)
  • Convert the Factored Form equation to Standard Form
  • Use this video for help:
Examples B - F (Pages 9, 11, 13, 15, 17)
  • ​Convert from Factored to Standard Form for each example in the booklet.​
  • When finished, show this to your teacher.

Textbook Work
  • Complete page 239 #3ace, 4ace, 7ace
  • When finished, show this to your teacher.
​5-04  expanding (vertex to standard)

5-04 Expanding (Vertex to Standard)

Page 4 (Expanding)
  • Work through examples c, e.  Use this video for help:
Page 5 (Practice Expanding)
  • Complete questions d, f on page 5 of the booklet
  • When finished, show this to your teacher.

Example A (Page 7)
  • Convert the Vertex Form equation to Standard Form
  • Use this video for help:
Examples B - F (Pages 9, 11, 13, 15, 17)
  • ​Convert from Vertex to Standard Form for each example in the booklet.​
  • When finished, show this to your teacher.

Textbook Work
  • Complete page 245 #3ace, 4ace
  • When finished, show this to your teacher.
5-05  Factoring Simple Trinomials (Standard to Factored)

5-05 Factoring Simple Trinomials (Standard to Factored)

Page 4 (Factoring)
  • Work through examples a, b.  Use this video for help:
Page 5 (Practice Factoring)
  • Complete questions a, b, c on page 5 of the booklet
  • When finished, show this to your teacher.

Textbook Work
  • Complete page 253 #3aceg, 11, 14
  • When finished, show this to your teacher.
5-06  Factoring Complex Trinomials (Standard to Factored)

5-06 Factoring Complex Trinomials (Standard to Factored)

Page 4 (Factoring)
  • Work through example c.  Use this video for help:
Page 5 (Practice Factoring)
  • Complete questions d, e, f on page 5 of the booklet
  • When finished, show this to your teacher.

Textbook Work
  • Complete page 259 #1, 6
  • When finished, show this to your teacher.

Example A (Page 7)
  • Convert the Standard Form equation to Factored Form
  • Use this video for help:
Examples B - F (Pages 9, 11, 13, 15, 17)
  • ​Convert from Standard to Factored Form for each example in the booklet.​
  • When finished, show this to your teacher.
5-07  Convert to Vertex Form

5-07 Convert to Vertex Form

Example A (Page 7)
  • Convert the Factored Form equation to Vertex Form
  • Use this video for help:
Examples B - F (Pages 9, 11, 13, 15, 17)
  • ​Convert from Factored to Vertex Form for each example in the booklet.​
  • When finished, show this to your teacher.

​Textbook Work
  • Complete page 273 #9, 11
  • When finished, show this to your teacher.
​
  • Complete page 284 #13, 15
  • When finished, show this to your teacher.
EXAMPLE H
  • Ask your teacher for Example H.
  • Complete the sheet and hand it in to your teacher.
Unit 5 Review
Work on the following textbook questions to get ready for the Unit 5 Test:
  • Page 286 #1, 3, 4, 6, 8, 15
  • Page 288 #10, 12
unit 5 test
  • Ask your teacher for the Unit 5 Test.
  • Complete the sheet and hand it in to your teacher.