1/22/2014
Wednesday, 1/22 and Thursday, 1/23
You Need:
Fancy calculators
Normal math stuff
Possibly textbooks, but probably not…grab one now or wait and see
On your desk to be checked during bellwork:
Definitions of 1)Monomial, 2)Binomial, 3)Polynomial
Copy the following on your bellwork
paper for the week:
Parallel line cut by a transversal review
x + y = 180˚
x˚
y˚
Parallelograms
x˚
y˚
y˚
y˚
x˚
x˚
Parallelograms
w + m = 180˚
w˚
m˚
m˚
w˚
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Triangles
The interior angles in any triangle must add to 180.
Triangles
Equilateral triangles always have angles of 60
degrees.
Isosceles triangles have two equal sides, which
means they also have two equal angles. The equal
angles are always across from the equal sides, and
vice versa.
Equal sides
Equal
sides
Equal angles
#7
Before you start assignment 7
remember to leave space for belwork
on Friday.
5.1 Polynomial Functions
LG: I will be able to name polynomials by terms and
degrees.
I will be able to describe the end behavior, number
of turning points, and make a simple sketch of
polynomials when given an equation.
Copy
What is a monomial?
What is a monomial?
An expression with ONE term.
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Copy
What is a binomial?
What is a binomial?
An expression with TWO terms.
Copy
What is a trinomial?
What is a trinomial?
An expression with THREE terms.
Copy
What is a polynomial?
What is a polynomial?
An expression with MANY terms.
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The degree of a polynomial is the greatest
degree among its monomial terms.
The degree of a polynomial is the greatest
degree among its monomial terms.
1
3 + 5 − 2
1
3 + 5 − 2
This is a 3rd degree trinomial
Don’t copy
Don’t copy
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Quartic Trinomial
Open a Graphing Document
Quartic Trinomial
Quintic Trinomial
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Graph on the calculator then
“sketch” on your paper:
Graph on the calculator then
“sketch” on your paper:
= = − Graph on the calculator then
“sketch” on your paper:
= Graph on the calculator then
“sketch” on your paper:
= − Graph and “sketch” on your paper:
Graph and “sketch” on your paper:
= = − 6
1/22/2014
Graph and “sketch” on your paper:
Graph and “sketch” on your paper:
= = − Don’t copy
Copy
Down, Up
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1/22/2014
Sketch the general shape, include the end behavior
= −2 − 5
Down, Up
Down, Down
Sketch the general shape, include the end behavior
=
− 5 +
Sketch the general shape, include the end behavior
Turning Points
The graph of a polynomial function n (if ≥ 1) has at most
n-1 turning points. The graph of an odd degree function has
an even number of turning points. The graph of an even
degree function has an odd number of turning points.
= − − 5 + Describe what you know about the
graph of = ?
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Describe what you know about the
graph of = ?
Describe what you know about the
graph of = 3 − ?
End behavior is down and up. There are either
2 turning points or zero turning points.
Describe what you know about the
graph of = 3 − ?
Describe what you know about the
graph of = − + 2 − − 2?
End behavior is up and down. There are either
2 turning points or zero turning points.
Describe what you know about the
graph of = − + 2 − − 2?
Describe what you know about the
graph of = − − 2?
End behavior is down and down. There are
either 3 turning points or 1 turning points.
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Describe what you know about the
graph of = − − 2?
End behavior is down and up. There are either
4 turning points, 2 turning points, or 0 turning
points.
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The degree
of the
function is
3.
Pg. 285 11, 17, 21-27odd, 32-39, 47,
48, 49
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