41
Grudge Ball !

Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

  • Upload
    others

  • View
    4

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Grudge Ball !

Page 2: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Algebra Grudge Rules:1. Each team starts with 10 points.

2. Each team gets a question which they solve on the whiteboard.

3. If correct, they can take two points off the board from another team. The team has the option to “shoot a basket”. If they make it, they can take two more points off (total of 4 points). If they miss, they can only remove one point.

Page 3: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Algebra Grudge Rules:4. Teams can remove points from one or more teams.

5. At the end of all rounds, the team with the most points wins.

6. A team can get back into the game by answering the question correct and making a basket. (They can add 4 points).

7. Any team that makes changes to whiteboard after stop loses all points!

Page 4: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Factoring Polynomials

Subtract Polynomials

Factoring Polynomials

Multiply Polynomials

Special Products

Identify Polynomials

Add Polynomials

Multiply Polynomials

#1 #2 #3

#1 #2 #3#1 #2 #3

#1 #2

#1 #2 #3

#1 #2 #3 #1 #2 #3 #1 #2 #3

Solving Poly Eqs

#1 #2 #3

Solving Poly Eqs

#1 #2 #3

Vertical Motion

#1 #2 #3

LifeApplication

#1 #2 #3

Chapter 9Polynomial Review

#3

Page 5: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Identify Polynomials #1

List the degree, leading coefficient and name of this polynomial.

3𝑘5 + 5𝑘3 − 12𝑘2 + 𝑘

Degree: 5 LC: 3 Name: Polynomial

Page 6: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Identify Polynomials #2

Degree: 2 LC: -12 Name: Binomial

List the degree, leading coefficient and name of this polynomial.

−12𝑐2 + 5𝑐

Page 7: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Identify Polynomials #3

Degree: 4 LC: 8 Name: Trinomial

List the degree, leading coefficient and name of this polynomial.

8ℎ4 + 22ℎ − 17

Page 8: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Add Polynomials #1

Find the sum.

−4𝑦2 + 𝑦 + 5 + −𝑦2 − 3𝑦 + 4

−5𝑦2 − 2𝑦 + 9

Page 9: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Add Polynomials #2

Find the sum.

−5𝑥2 + 2𝑥 − 1 + 6𝑥3 + 2𝑥2 − 5

6𝑥3 − 3𝑥2 + 2𝑥 − 6

Page 10: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Add Polynomials #3

Find the sum.

10𝑎2 − 7𝑎 + 3 + −4𝑎3 + 2𝑎2 − 3𝑎 − 5

−4𝑎3 + 12𝑎2 − 10𝑎 − 2

Page 11: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Subtract Polynomials #1

Find the difference.

𝑚2 − 3𝑚 + 4 − −𝑚2 + 5𝑚 + 1

2𝑚2 − 8𝑚 + 3

Page 12: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Subtract Polynomials #2

Find the difference.

−𝑑4 − 2𝑑3 + 5 − −6𝑑2 + 5𝑑 + 5

−𝑑4 − 2𝑑3 + 6𝑑2 − 5𝑑

Page 13: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Subtract Polynomials #3

Find the difference.

−5𝑧3 − 2𝑧2 + 5𝑧 − 1 − 6𝑧3 + 2𝑧2 + 3𝑧 − 5

−11𝑧3 − 4𝑧2 + 2𝑧 + 4

Page 14: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Multiply Polynomials #1

Find the product.

3𝑝4 − 5 2𝑝2 + 4

6𝑝6 + 12𝑝4 − 10𝑝2 − 20

Page 15: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Multiply Polynomials #2

Find the product.

𝑑2 4𝑑2 − 3𝑑 + 2

4𝑑4 − 3𝑑3 + 2𝑑2

Page 16: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Multiply Polynomials #3

Find the product.

𝑤3 + 2 𝑤2 + 2𝑤 + 1

𝑤5 + 2𝑤4 +𝑤3 + 2𝑤2 + 4𝑤 + 2

Page 17: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Multiply Polynomials #1

Find the product.

−𝑠3 3𝑠2 + 3𝑠 − 6

−3𝑠5 − 3𝑠4 + 6𝑠3

Page 18: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Multiply Polynomials #2

Find the product.

8𝑛 − 3 2𝑛2 − 4𝑛 + 5

16𝑛3 − 38𝑛2 + 52𝑛 − 15

Page 19: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Multiply Polynomials #3

Find the product.

2𝑥2 + 5𝑥 − 2 𝑥 + 3

2𝑥3 + 11𝑥2 + 13𝑥 − 6

Page 20: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Special Products #1

Find the product.

4𝑥 − 𝑦 2

16𝑥2 − 8𝑥𝑦 + 𝑦2

Page 21: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Special Products #2

Factor the polynomial.

81𝑐2 − 4

9𝑐 + 2 9𝑐 − 2

Page 22: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Special Products #3

Factor the polynomial.

9𝑡2 − 12𝑡 + 4

3𝑡 − 2 2

Page 23: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Factoring Polynomials #1

Factor the polynomial.

𝑎2 + 5𝑎 − 84

𝑎 + 12 𝑎 − 7

Page 24: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Factoring Polynomials #2

Factor the polynomial.

−12𝑟2 + 5𝑟 + 3

− 3𝑟 + 1 4𝑟 − 3

Page 25: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Factoring Polynomials #3

Factor the polynomial.

2𝑛2 − 11𝑛 + 15

2𝑛 − 5 𝑛 − 3

Page 26: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Factoring Polynomials #1

Factor the polynomial.

18𝑠2 + 12𝑠 − 6

6 3𝑠 − 1 𝑠 + 1

Page 27: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Factoring Polynomials #2

Factor the polynomial.

𝑡2 − 10𝑡 + 21

𝑡 − 7 𝑡 − 3

Page 28: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Factoring Polynomials #3

Factor the polynomial.

2ℎ2 − 9ℎ + 4

2ℎ − 1 ℎ − 4

Page 29: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Solving Polynomial Equations #1

Solve the equation.

3𝑧2 + 𝑧 − 14 = 0

𝑧 = −7

3, 2

Page 30: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Solving Polynomial Equations #2

Solve the equation.

−5𝑏2 + 7𝑏 = 2

𝑏 =2

5, 1

Page 31: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Solving Polynomial Equations #3

Solve the equation.

6𝑦2 − 5𝑦 − 4 = 0

𝑦 = −1

2,4

3

Page 32: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Solving Polynomial Equations #1

Solve the equation.

10𝑥2 − 3𝑥 = 27

𝑥 = −3

2,9

5

Page 33: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Solving Polynomial Equations #2

Solve the equation.

−3𝑝2 − 10𝑝 − 3 = 0

𝑝 = −3 ,−1

3

Page 34: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Solving Polynomial Equations #3

Solve the equation.

−16𝑧2 + 46𝑧 = −6

𝑧 = −1

8, 3

Page 35: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Vertical Motion Model #1

A soccer ball is kicked from the ground with a starting upward velocity of 50 feet per second. After how many seconds will it hit the ground?

The soccer ball will hit the ground 3.13 seconds after it is kicked.

Page 36: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Vertical Motion Model #2

An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds does it land on the ground?

The shot put hits on the ground 2 seconds after it is thrown.

Page 37: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Vertical Motion Model #3

An acorn falls off a tree from a height of 16 feet. After how many seconds does it hit on the ground?

The acorn hits the ground 1 second after it falls.

Page 38: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

Life Application #1

a.) 4𝑥2 + 38𝑥 + 90b.) 306 ft2

Page 39: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

a.) 4𝑥2 + 84𝑥 + 440b.) 840 in2

Life Application #2

Page 40: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

a.) 2𝑥2 + 100𝑥 + 800b.) 1350 ft2

Life Application #3

Page 41: Grudge Ball - MrsDavisMath.com · An athlete throws the shot put from an initial height of 6 feet and with an initial vertical velocity of 29 feet per second. After how many seconds

And the Winner Is…