## MBF3C - Unit 5:

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

**Page 1**- Review the Main Goal and Big Ideas for the unit

__(Page 6)__

**Example A**- 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:

__(Pages 8, 10, 12, 14, 16)__

**Examples B - F**- Determine the type of equation (standard, factored, vertex) for each example in the booklet
- When finished,
.__show this to your teacher__

__(Page 6)__

**Example A**- Sketch the parabola.
- Label the coordinates of the vertex, x-intercepts, and y-intercept
- Watch this video for help:

__(Pages 8, 10, 12, 14, 16)__

**Examples B - F**- 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

**Page 3**- Complete the 1st and 2nd Differences for each table of values. Use this video for help:

__(Page 7)__

**Example A**- Complete the table of values and the 1st and 2nd differences. Use this video for help:

__(Pages 9, 11, 13, 15, 17)__

**Examples B - F**- 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)

__(Expanding)__

**Page 4**- Work through examples a, b, d. Use this video for help:

__(Practice Expanding)__

**Page 5**- Complete questions a, b, c, e on page 5 of the booklet
- When finished,
.__show this to your teacher__

__(Page 7)__

**Example A**- Convert the Factored Form equation to Standard Form
- Use this video for help:

__(Pages 9, 11, 13, 15, 17)__

**Examples B - F**- 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)

__(Expanding)__

**Page 4**- Work through examples c, e. Use this video for help:

__(Practice Expanding)__

**Page 5**- Complete questions d, f on page 5 of the booklet
- When finished,
.__show this to your teacher__

__(Page 7)__

**Example A**- Convert the Vertex Form equation to Standard Form
- Use this video for help:

__(Pages 9, 11, 13, 15, 17)__

**Examples B - F**- 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)

__(Factoring)__

**Page 4**- Work through examples a, b. Use this video for help:

__(Practice Factoring)__

**Page 5**- 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)

__(Factoring)__

**Page 4**- Work through example c. Use this video for help:

__(Practice Factoring)__

**Page 5**- 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__

__(Page 7)__

**Example A**- Convert the Standard Form equation to Factored Form
- Use this video for help:

__(Pages 9, 11, 13, 15, 17)__

**Examples B - F**- 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

__(Page 7)__

**Example A**- Convert the Factored Form equation to Vertex Form
- Use this video for help:

__(Pages 9, 11, 13, 15, 17)__

**Examples B - F**- 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**