1. Algebra 2
Chapter 4

2. 4.1
Warm UP: (Vending Machines)

3. 4.1 Investigation: Graph a Story (pg.186)
If time allows: (pg. 182, 183)

4. 4.2 Day 1 Notes: Input, Output, Independent, Depedent
Notes: Function Notation

5. 4.2 Day 2
Review Function Notation with BIG warm up: pg. 194 #4

6. 4.2 Day 2 Notes Function :every input has exactly one output
Independent Variable : x
Dependent Variable : y
Domain : the input values (x values)
Range : the output values (y values)
Vertical Line Test :

7. 4.2 Day 3
Warm up: pg. 192

8. 4.2 Day 3
Review Vocab
Pre-assessment for rest of chapter (30 minutes, what do you know?)

9. 4.4 day 1: Parabolas and Translations
Warm up:
If f(x)= 3x+45, find f(100)
Alg 1: graph y = x 2
1. y = x 2 +3
2. y = (x-3) 2
Investigation pg. 207: Make my graph
Step 2:
Step 3:
Now go back to the pre-assessment, do #1

10. 4.4 Investigation

11. 4.4 Day 2: More translations
Warm UP
Write an equation for each graph
(#6 pg. 210)
Recap of Notes 4.4
Inside: input, affects the x values
Outside: output, affects the y values
In class work pg. 210
#5, 8, 10
Review each lesson for quiz , 4.4

12. Quiz 4.1 to 4.4 Recap Period 1 4.1 4.2 4.4 Absolute Values
Input and Output with Function Notation
Increase or Decrease Graph Rapid/Slowly
Labeling x and y axis
4.2
Domain and Range with proper notation
Independent vs Dependent Variables
Vertical Line Test for Functions
Definition of Function
4.4
Identify translations of the vertex
Parabola graph
Solve equations with Parabolas
Translate ANY graph

13. Quiz 4.1 to 4.4 Recap Period 2
4.1
Tell if a graph is a function
Draw a Graph from description or vice versa
LABEL LABEL LABEL!! Units, etc.
4.2
Function notation for input and output
Function notation on graphs
DOMAIN and RANGE
4.4
Inside changes x for translations (and outside changes y’s)
Solving parabolic with algebra

14. Quiz 4.1 to 4.4 Recap Period 4
4.1
Writing stories about graphs
Writing a graph description: increasing, increasing at an increasing rate, increasing at a decrease rate, decreasing at a decreasing rate, etc.
Include arrows, labels on both axes
4.2
Input and Output
Determining if a graph is a function, use the vertical line test
Domain and Range
4.4
Parabola
Translation of Parabolas
Arrows on Parabolas
Solving with Squares

15. 4.5 Day 1: Reflections and Square Root Functions
Notes: Graphing the PARENT square root function
Exercise on translations with square roots and parabola’s (Next slide)
Investigation: Take a Moment to Reflect (pg. 213/214)
Step 3 only
Parent is the square root function (f1(x))
a) predict y= -f(x) and y = f(-x)
b)predict y = -f(-x)

16. 4.5 Exercise: translations with square roots and parabola’s

17. 4.5: Day 2, More reflections Warm UP: what do you know so far?
What parent functions should we know?
What types of transformations should we know? And how does each look in a parent function?
Practice WS Assignment. Due by end of period. Check answer key when done
Homework: Pg. 216 #4,5,6,8,11-13,16

18. 4.5: Piecewise Functions Warm up: Transformation Practice
Notes: Piecewise Functions
Practice
(pg. 218,
#12)
Example
(pg. 215)

19. 4.5 practice

20. 4.7: Circles and Ellipses Circle Notes Define a unit circle
Solve for y and graph
How would we dilate a circle?
How would we horizontally translate a circle? vertically? both?
Example A pg. 229
Define an ellipse
Example B pg. 230

21. 4.7 Examples Problems
Example A pg. 229
Example B pg. 230

22. 4.8 Day 1: Composition Functions
Warm up:
a. Find f(g(1))
b. Find f(g(-4))
c. Find f(g(x))
Practice #1
d. g(f(-1))

23. 4.7, 4.8: Recap for Quiz 4.7 4.8 Unit Circle
Parent function y= sqrt(1-x^2)
Ellipses Equation
Translations and Dilations of the y= parent function
4.8
Composition of functions (f(g(#)) or f(g(x)) equation)
Product of functions

24. 4.7, 4.8 Recap 4.7 4.8 Ellipses Circles Dilations = radius
Translations = center
Unit circle x2+y2 =1
4.8
Compositions of functions f(g(x)) equation or for a number as x.

25. 4.7, 4.8 Recap 4.7 4.8 Unit circle x2 +y2 = 1 or y= sqrt(1-x2)
General Equation / Ellipse
4.8
Compositions