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?
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
Example A (Page 6)
- 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)
Example A (Page 6)
- 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)
Textbook Work
- 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)
Example A (Page 7)
- 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)
Textbook Work
- 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)
Example A (Page 7)
- 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)
Textbook Work
- 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)
Textbook Work
- 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)
Textbook Work
Example A (Page 7)
- 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)
Textbook Work
- 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.