100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication...

54
100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me Distributi on Potpourri 400 500 100 200 300 400 500 100 200 300 400 500 End Round Theme Final Jeopardy

Transcript of 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication...

Page 1: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

100

200

300

400

500

100

200

300

400

500

100

200

300

PolynomialVocabulary

PolynomialMultiplicationName Me Distribution Potpourri

400

500

100

200

300

400

500

100

200

300

400

500

End RoundTheme Final Jeopardy

Page 2: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Define:

Monomial

Polynomial Vocabulary 100 PointsPolynomial Vocabulary 100 Points

Page 3: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

One Term.

Polynomial Vocabulary 100 PointsPolynomial Vocabulary 100 Points

Page 4: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Polynomial Vocabulary 200 PointsPolynomial Vocabulary 200 Points

Define:

Trinomial

Page 5: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Polynomial Vocabulary 200 PointsPolynomial Vocabulary 200 Points

Three terms. Or the addition/subtraction of three

monomials.

Page 6: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Polynomial Vocabulary 300 PointsPolynomial Vocabulary 300 Points

Define:

Standard Form

Page 7: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Polynomial Vocabulary 300 PointsPolynomial Vocabulary 300 Points

When a polynomial is written with it’s exponents in

descending order (greatest to least).

Page 8: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Polynomial Vocabulary 400 PointsPolynomial Vocabulary 400 Points

Define:

Degree of a Polynomial

Page 9: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Polynomial Vocabulary 400 PointsPolynomial Vocabulary 400 Points

The highest power/degree. Or the first exponent when

written in standard form.

Page 10: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Polynomial Vocabulary 500 PointsPolynomial Vocabulary 500 Points

Define:

Leading Coefficient

Page 11: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

The coefficient of the term with the greatest exponent. Or the first term when written in

standard form.

Polynomial Vocabulary 500 PointsPolynomial Vocabulary 500 Points

Page 12: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

7x + 4

Name Me 100 PointsName Me 100 Points

Page 13: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Linear Binomial

Name Me 100 PointsName Me 100 Points

Page 14: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

3x

Name Me 200 PointsName Me 200 Points

2

Page 15: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Quadratic Monomial

Name Me 200 PointsName Me 200 Points

Page 16: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

x + 3x + 3

Name Me 300 PointsName Me 300 Points

3

Page 17: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Name Me 300 PointsName Me 300 Points

Cubic Trinomial

Page 18: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

5x + 6x

Name Me 400 PointsName Me 400 Points

43

Page 19: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Quartic Binomial

Name Me 400 PointsName Me 400 Points

Page 20: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

6x + 3x - 7x + 4x + 8

Name Me 500 PointsName Me 500 Points

5 2 6

Page 21: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Name Me 500 PointsName Me 500 Points

Sixth Degree Polynomial

Page 22: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

2 ( x – y )

Distribution 100 PointsDistribution 100 Points

Page 23: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

2x – 2y

Distribution 100 PointsDistribution 100 Points

Page 24: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

ab ( a + b )

Distribution 200 PointsDistribution 200 Points

Page 25: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

a b + ab

Distribution 200 PointsDistribution 200 Points

2 2

Page 26: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Distribution 300 PointsDistribution 300 Points

2x y (3x – 4xy – 1)2 3

Page 27: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Distribution 300 PointsDistribution 300 Points

6x y – 8x y -2x y33 3 34 2

Page 28: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Distribution 400 PointsDistribution 400 Points

x

5 cm

12 cm

½ a b ( a + 4ab – 5b )2 23

Page 29: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Distribution 400 PointsDistribution 400 Points

½ a b + 2a b - 5/2 a b 33 5 24

Page 30: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Distribution 500 PointsDistribution 500 Points

3x ( 2x yz – 1/3 xy z ) - 4y ( 4x yz - 3xz – 6) 2 2 2 2 2

Page 31: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Distribution 500 PointsDistribution 500 Points

6x yz – 17x y z + 12xyz + 24y3 2 2 2

Page 32: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 100 PointsPoly. Multiplication 100 Points

4x y (6xy z )

3 2 3

Page 33: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 100 PointsPoly. Multiplication 100 Points

24x y z 334

Page 34: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 200 PointsPoly. Multiplication 200 Points

3x ( 4x - 2x) 6 2

Page 35: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 200 PointsPoly. Multiplication 200 Points

12x - 6x 8 7

Page 36: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 300 PointsPoly. Multiplication 300 Points

( 5a – b ) ( a – 6b )

Page 37: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 300 PointsPoly. Multiplication 300 Points

5a - 31ab + 6b2 2

Page 38: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 400 PointsPoly. Multiplication 400 Points

( y + z ) ( y + yz + z )

2 2

Page 39: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 400 PointsPoly. Multiplication 400 Points

y + 2y z + 2yz + z3 2 2 3

Page 40: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

( 2xy – 1) ( xy – x - y + 1 )

Poly. Multiplication 500 PointsPoly. Multiplication 500 Points

3 4

Page 41: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Poly. Multiplication 500 PointsPoly. Multiplication 500 Points

2x y - 2x y – 2xy + xy + x + y - 1 2 2 4 5 3 4

Page 42: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 100 PointsPotpourri 100 Points

X Y1 Y2

0 -4 5

1 -2 4

2 0 3

3 2 2

4 4 1

5 6 0

6 8 -1

Find the Solution :

Page 43: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 100 PointsPotpourri 100 Points

( 3 , 2 )

Page 44: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 200 PointsPotpourri 200 Points

Choose the Best Method:(Graphing, Substitution, or Elimination)

x + y = 6

x = 3y - 2

Page 45: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 200 PointsPotpourri 200 Points

Substitution

Page 46: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 300 PointsPotpourri 300 Points

Graph:

y < ¼ x + 1

Page 47: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 300 PointsPotpourri 300 Points

Page 48: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 400 PointsPotpourri 400 Points

Polynomial Representaion:The length of a rectangle is (y + 2) and the width is (3y – 2). Find the polynomial that represents the Area of the rectangle.

Page 49: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 400 PointsPotpourri 400 Points

A = 3y + 4y - 4 2

Page 50: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 500 PointsPotpourri 500 Points

Choose the Best Method:(Graphing, Substitution, or Elimination)

Angela has 3 apples and 7 oranges that cost $4.05. Mike has 6 apples and 4 oranges that cost $5.45. Write the system of linear equations that best represents this situation.

Page 51: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Potpourri 500 PointsPotpourri 500 Points

Elimination

Page 52: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

Final Jeopardy

Page 53: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

FINAL JEOPARDYFINAL JEOPARDY

What is the most important thing to know about polynomial

multiplication?

Page 54: 100 200 300 400 500 100 200 300 400 500 100 200 300 Polynomial Vocabulary Polynomial Multiplication Name Me DistributionPotpourri 400 500 100 200 300.

FINAL JEOPARDYFINAL JEOPARDY

Possible Answers include:

•How to Distribute•How to combine like terms•Writing it in standard form