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MATH +BASEKETBALL A W E S O M E N E S S !

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MATH +BASEKETBALL A W E S O M E N E S S !. Directions: Sit across from your partner. You need: Pencil, Calculator, and A Practice Test The game will begin when you are silent. ANNOUNCEMENTS. DUE TOMORROW: Homework packets Make sure you’ve graded and fixed all problems Put in order! - PowerPoint PPT Presentation

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Page 1: MATH   +BASEKETBALL   A W E S O M E N E S S !

MATH +BASEKETBALL AWESOMENESS!

Directions:1) Sit across from your partner.2) You need: Pencil, Calculator, and A Practice Test3) The game will begin when you are silent.

Page 2: MATH   +BASEKETBALL   A W E S O M E N E S S !

ANNOUNCEMENTS

• DUE TOMORROW:– Homework packets

• Make sure you’ve graded and fixed all problems• Put in order!

– Extra Credit• Note changes if printed before Wednesday.• (If done, I’ll take as is)

• Tonight’s HW: Fill out Learning Goal Chart & STUDY

– Use study guide as a measure

Page 3: MATH   +BASEKETBALL   A W E S O M E N E S S !

Instructions• Between the partners, the first one done and correct gets the

point.

• If you are done, help your partner.

• Points from each round determine the FLASH ROUND, but we will have a tally for most points overall at the end.

• We will briefly review answers after each question.

• FYI – FOULS: Off-task = No playing

Page 4: MATH   +BASEKETBALL   A W E S O M E N E S S !

When you see this guy:

The team member with the most points from the current round will

line up to take a basket. Those who make it (or hit the rim) will go to the board for the FLASH ROUND!

Page 5: MATH   +BASEKETBALL   A W E S O M E N E S S !

ROUND 1• ADDITION• SUBTRACTION• SCALAR MULTIPLICATION• BASIC DEFINITIONS

Page 6: MATH   +BASEKETBALL   A W E S O M E N E S S !

• Let A = and B = . Find A + B.

Add elements in the same position

Page 7: MATH   +BASEKETBALL   A W E S O M E N E S S !

• Let A = and B = . Find 4A - B.

4

=

Add elements in the same position

Page 8: MATH   +BASEKETBALL   A W E S O M E N E S S !

Let A = and B = .

4X + A = B. Solve for X.

4X + A = B -A -A 4x = B-A

x = (B-A)

Page 9: MATH   +BASEKETBALL   A W E S O M E N E S S !

Find the product, if possible.

• A = B = Multiply: ROW X COLUMN

(-1)(-2) + 3(-1) -1(0) + 3(3)2(-2) + 2(-1) 2(0) + 2(3)

2-3 0+9 -4-2 0+6

=

Page 10: MATH   +BASEKETBALL   A W E S O M E N E S S !

Partner with the most points,

take your shot!

Those who hit the rim or make it in advance to the FLASH ROUND!!!

Page 11: MATH   +BASEKETBALL   A W E S O M E N E S S !

FLASH ROUND

Find e31

Row 3Column 1

= 12

Page 12: MATH   +BASEKETBALL   A W E S O M E N E S S !

ROUND 2(start scoring over)

• MULTIPLICATION• INVERSE MATRICES• DETERMINANTS

Page 13: MATH   +BASEKETBALL   A W E S O M E N E S S !

Find the product, if possible.

• A = , B = Multiply: ROW X COLUMN

8(-4) -3(-7) + 3(-5)4(-4) +3(-7) + 3(-5)

-32+24-15-16-21-15

Page 14: MATH   +BASEKETBALL   A W E S O M E N E S S !

THROW YOUR HANDS UP!

• You can win an extra point if you’re the first to raise your hand with the answer to:

Give an example of two matrices that cannot be multiplied together.

Page 15: MATH   +BASEKETBALL   A W E S O M E N E S S !

What is the equation to find an inverse?

A-1 =

Page 16: MATH   +BASEKETBALL   A W E S O M E N E S S !

Find the inverse:

A-1 =

Page 17: MATH   +BASEKETBALL   A W E S O M E N E S S !

THROW YOUR HANDS UP!

• You can win an extra point if you’re the first to raise your hand with the answer to:

DEFINITION OF THE

DETERMINANT

A real number assigned to each matrixFormula: ad-bc

Page 18: MATH   +BASEKETBALL   A W E S O M E N E S S !

Evaluate the Determinant:

• A =

4 - (- 32) = 36

Page 19: MATH   +BASEKETBALL   A W E S O M E N E S S !

Partner with the most points,

take your shot!

Those who hit the rim or make it in advance to the FLASH ROUND!!!

Page 20: MATH   +BASEKETBALL   A W E S O M E N E S S !

Evaluate the determinant:

-3-3 = -6

Page 21: MATH   +BASEKETBALL   A W E S O M E N E S S !

ROUND 3(start scoring over)

• Solving matrices

Page 22: MATH   +BASEKETBALL   A W E S O M E N E S S !

Write in Matrix Form:

7x + 2y = 40 6x + 2y = 34

A X = B

Page 23: MATH   +BASEKETBALL   A W E S O M E N E S S !

THROW YOUR HANDS UP!

• You can win an extra point if you’re the first to raise your hand with the answer to:

If….

A X = B Then…

X = ????

A-1 A-1

X = A-1B

Page 24: MATH   +BASEKETBALL   A W E S O M E N E S S !

Find A-1

7x + 2y = 406x + 2y = 34

𝐴−1= 114−12 [ 2 −2

−6 7 ]=[ 𝟏 −𝟏−𝟑 𝟕

𝟐 ]

Page 25: MATH   +BASEKETBALL   A W E S O M E N E S S !

Solve the equation:7x + 2y = 406x + 2y = 34

X = A-1 B =

= 1(40) – 1(34) = 40-34 -3(40) + (34) = -120 + 119

=

(6, -1)

Page 26: MATH   +BASEKETBALL   A W E S O M E N E S S !

Solve the equation:(Use calc to crunch numbers, but show ALL work)

6x + 8y = 102 -2y = -12 A X = B

X = A-1 B

(1/6)(102) + (2/3)(-12) = 17 -8(0)(102) – (1/2)(-12) = 0 +6

(9, -6)

Page 27: MATH   +BASEKETBALL   A W E S O M E N E S S !

Solve using your calculator:

5x + 6y + 5z = 59 9x - 2y + 2z = -2 3x - 2y + 3z = -15

Enter in calc: A-1 B = (2, 9, -1)

Page 28: MATH   +BASEKETBALL   A W E S O M E N E S S !

Partner with the most points,

take your shot!

Those who hit the rim or make it in advance to the FLASH ROUND!!!

Page 29: MATH   +BASEKETBALL   A W E S O M E N E S S !

FLASH ROUND:

• Solve using your calculator:2x - 2z = 12

2y - 2z = 125x + 2y + 7z = 14

Enter in calc: A-1 B = (4, 4, -2)