Download Always a good review of all functions

Ch6 Polynomials and Polynomial Functions
Cross-Curricular Ties:
I Can…
F.IF.4-9
Identify the number of turns and
model a situation using different
degree polynomials.
A.SSE.1
Interpret parts of an expression, such
as terms, factors, and coefficients
A.APR.2
Know and apply the Remainder
Theorem
A.APR.3
Identify zeros of polynomials when
suitable factorizations are available,
and use the zeros to construct a
rough graph of the function defined by
the polynomial
Rewrite simple rational expressions in
different forms
A.APR.6
A.APR.1
(2)
A.SSE.2(2)
N.CN.8 *
N.CN.9*
A.APR.5*
Understand that polynomials form a
system analogous to the integers,
namely, they are closed under the
operations of addition, subtraction,
and multiplication; add, subtract, and
multiply polynomials.
Use the structure of an expression to
identify ways to rewrite polynomials.
Keywords:
Imaginary number
-complex number
(form)
-Conjugate (Complex)
-Relative Maximum
and Minimum
-Zeros
-Roots
-Multiplicity of
Polynomial
-Synthetic Division
-Remainder Theorem
-Sum and Difference
of Cubes
-Rational Root
Theorem
-Fundamental
Theorem of Algebra
Extend polynomial identities to the
complex numbers
Know the Fundamental Theorem of
Algebra; show that it is true for
quadratic polynomials
Use Pascal’s Triangle to expand a
binomial
Project ties:
Topic(s)
Suggested
Text
PH2011
Common
Core
End Behavior, graphing
polynomials
Pg 306 ext
6.2
F.IF.4-9,
A.SSE.1,
A.APR.2,
A.APR.3
Dividing polynomials
6.3
A.APR.6
Science, Technology,
Engineering, & Math
(STEM) Activities
Solving Polynomial Equations
6.4
A.APR.1,
A.SSE.2A.APR.
3
Models
6.4
A.APR.1,
A.SSE.2
Polynomial Function Theorems
6.5/6.6
*N.CN.8( ex 4
and 5)
N.CN.9*
A.APR.2
Pascal’s Triangle, expanding a
binomial
6.8/Review
A.APR.5*
Always a good review of all functions
Step
1
2
3
4
5
6
7
8
9
10
11
Activity
Make a set of 3x5 index cards for each keyword.
Imaginary numbers prank youtube
Pg 274 example 1
Kahn academy simplifying negative roots,
and 2
What is a complex number kahn
Pg 278 1-17 odd
Adding Complex Numbers,
Examples 5, 6, and 7 in book
Multiplying Complex Numbers, pg 276 - 277
and Using quadratic for
imaginary solutions
Pg 278 29-45 odd, 50-53
Use 3x5 cards and do pg 306 Technology Activity. Write your
answers for 1-4 on a separate sheet of paper. If there are
questions on how to do this please ask.
Review the classifying
Classifying
Review
polynomials notes
polynomials Book
Powerpoint
video
on classifying
Take the quiz here, and check your answers. Do pg 309 1-12.
PowerPoint on polynomial
Steps for fitting regressions to
fitting
the calculator
1. Pick two data sets from here. Find one you think is linear and
one you think is a polynomial relation.
2. Give the equation for their function of best fit using the
Mastery
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
calculator.
3. How closely do they fit this function? How do you know
this?
Read the extension on end behavior on pg 312
Do pg 312 1-9 odd
Watch the kahn academy here, and look at example 1 on page
313.
Watch the video on finding the Read example 2
GCF at kahn
Copy the picture showing relative maximum, minimum and x
intercepts at the top of pg 315 into your Know it all Books.
Review example 4-6 on page 315-316, write down the
equivalent statements in the Key concepts box at the bottom of
page 316 into your know it all books.
A very important tool/cheat to use on a graphing calculator
Do page 317 1-35 odd.
Mastery Test on F.IF.4-9
Watch dividing
Look at examples 1, on Watch the
polynomials on kahn page 321
video on
achademy
dividing
polynomials
at here
Look at example 2 on pg 321
Pg 324 9-12
Doing Synthetic Division 1, 2,
Look at examples 3 and 5 on
Dr. Bob doing Synthetic
pg 322 and 323 respectively.
Evaluation.
Copy down example 5 on page 323 into your Know it all Book.
What would you get as a remainder if you evaluated the
function at a root?
Do pg 324 13 – 21 odd, 27 – 35 odd
Pg 327 Example 1 Regents notes 1, 2
practice Write down all problems on a separate sheet, do pg
330 1-5 odd
Factor the following difference Examples 3, 4, and 5
of cubes kahn 1, 2, factoring
special products
Pg 330 15-31 odd
Using the rational A peaceful
Example 1 and 2, on
root theorem to
video on
page 336
find solutions
rational roots
Pg 339 1-12 all
Complex zeros theorem,
Example 3, 4,5
Optional
X
34
35
36
37
38
irrational root theorem
Pg 339 1-31 odd
Fundemental theorem 1, 2
Example 1, 2
Pg 343 1-25 odd
Review Pick one problem from each set of problems pg 301 39
– 50, 55-58, pg 359 6-51
Test
http://phschool.com/webcodes10/index.cfm?area=view&wcprefix=auk&wcsuffix=0099
Chapter PowerPoints
http://www.taosschools.org/ths/Departments/MathDept/quintana/GeometryPPTs/index.htm