1. 3/3/ Week Monday: Review and take quiz on: Simplify in
+ - * / complex numbers
Justification
Simplify rational exponents
Convert from radical to rational
Convert from rational to radical

2. Tuesday Warm Up Let f(x) = y = x + 2 and g(x) = y = -x + 4
Handed out Volume 2 books
Let f(x) = y = x + 2 and g(x) = y = -x + 4
Calculate h(x) = f(x) * g(x)
g(x) = -x2 + 2x + 8
Graph all three functions in the calculator
Compare and contrast the curves

3. Tuesday Graph f(x) = y = x + 2 Graph g(x) = y = -x + 4
Calculate h(x) = f(x) * g(x)
Plot h(x)
What do you notice about f(x), g(x) and h(x):
Shape
Domain
Range
x-intercept
y-intercept
increase/decrease
end behavior
Rate of change
Max/Min

4. Who let the dogs in, Vol 2 page 858
What do you notice about f(x), g(x) and h(x):
Shape
Domain
Range
x-intercept
y-intercept
increase/decrease
end behavior
Rate of change
Max/Min

5. HW: Skills page 880 & 881, # 8 – 11 all

6. Wednesday March 5
Computer Lab half day reviewing rational/irrational numbers
Room T-10
Username: Students\lastname last 4 of id
Password: whole student id
Google Chrome
Allow Popups
School ID: salem hs-30013
Login: first initial, last name, last 4 digits of student ID
Password
McNutt – Salem 34175, Flatshoals 15175

7. Find the x-intercepts, y-intercepts, local maximums and minimums and intersections

8. Find the x-intercepts, y-intercepts, local maximums and minimums and intersections

9. Thursday, March 6 Warm Up: Calculator exercise Letters from home?
Factoring
Quiz tomorrow over calculator operation
To qualify to re-take complex/rational/radical quiz, you need to:
Turn in list of exponential rules, with an example of each
Correct Radical and Rational Exponent work sheet (graded) and
Operations with Complex Numbers work sheet

10. HW - Factor the given expression, set equal to zero and solve for x:
Skills page 895, # 3 & 5
Skills page 896, # 7 & 9, add multiply together to see the quadratic
Skills page 905, # 3 & 5, add multiply to see the quadratic

11. Friday 3/7 Warm Up
Find the zeros and vertex of the following factored quadratics using algebra.
Multiply the factors together to find the quadratic and graph
Describe each graph (vertex, increase/decrease, open up/down, zeros, y-intercept, end conditions)
f(x) = (x + 1)(x +3)
g(x) = (x + 2)(x – 4)
The above form is called the “intercept form”. Why do you think it is called that?
The factors and quadratic can be represented by an area model

12. Basic Steps for Factoring Standard Form if a = 1
Put equation in standard form – make a > 0
Factor out the GCF
Determine a, b, and c
Find the factors of a times c that add to b
If a = 1, the factors are (x + f1)(x + f2) = 0
This is called the “intercept form”, why?
Use the zero product rule to find the solutions
Verify by substituting solutions into the original equation

13. Emphasize the “cross” idea and logic:
If ac > 0:
both factors must be positive or negative.
If b > 0, they are both positive
If b < 0, they are both negative
If ac < 0:
One factor is positive and one is negative
If b > 0, the larger one is positive
If b < 0, the larger one is negative

14. Product
(ac)
Factor 1
Factor 2
Sum
(b)

15. Factor Trinomials with a = 1
Factor x2 + 2x – 8 = 0
Factor x2 + 6x = -8
Factor x = -7x
Factor x2 - 24x - 81 = 0
Factor 2x3 + 16x2 = -24x
Factor 4x3y - 20x2y + 16xy = 0
Factor x2 + 3x - 18 = 0

16. Basic Steps for Factoring Standard Form if a  1
Put equation in standard form – make a > 0
Factor out the GCF
Determine a, b, and c
Find the factors of a times c that add to b
If a 1, rewrite the equation replacing the b term with the factors found above and factor by grouping
Use the zero product rule to find the solutions
Verify by substituting solutions into the original equation

17. Emphasize the “cross” idea and logic:
If ac > 0:
both factors must be positive or negative.
If b > 0, they are both positive
If b < 0, they are both negative
If ac < 0:
One factor is positive and one is negative
If b > 0, the larger one is positive
If b < 0, the larger one is negative

18. Solving Polynomial Equations
Example: find the zeros of 6x2 + x – 12 = 0
ac = -72 and the factors of -72 are: 2 and -36, 3 and -24, 4 and -18, 6 and -12, 9 and -8, -2 and 36, -3 and 24, -4 and 18, -6 and 12, -9 and 8
The two that add to 1 is 9 and -8, so we replace x with 9x and -8x and factor by grouping.

19. Product
(ac = -72)
Factor 2
(-8)
Factor 1
(+9)
Sum
(b = 1)

20. Continuing:
Example: find the zeros of 6x2 + x – 12 = 0 6x2 + 9x – 8x – 12 = 0 3x(2x + 3) – 4(2x + 3) = 0 (2x + 3)(3x – 4) = 0 x = -3/2 or x = 4/3

21. Summary Find the factors of “ac” that add to “b” If ac > 0:
both factors must be positive or negative.
If b > 0, they are both positive
If b < 0, they are both negative
If ac < 0:
One factor is positive and one is negative
If b > 0, the larger one is positive
If b < 0, the larger one is negative

22. HW Skills page # 1 – 17 odds