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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!
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MATH +BASEKETBALL AWESOMENESS! 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! • 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
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
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!
ROUND 1 • ADDITION • SUBTRACTION • SCALAR MULTIPLICATION • BASIC DEFINITIONS
Let A = and B = . Find A + B. Add elements in the same position
Let A = and B = . Find 4A - B. 4 = Add elements in the same position
Let A = and B = . 4X + A = B. Solve for X. 4X + A = B -A -A 4x = B-A x = (B-A)
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 =
Partner with the most points, take your shot! Those who hit the rim or make it in advance to the FLASH ROUND!!!
FLASH ROUND Find e31 Row 3 Column 1 = 12
ROUND 2(start scoring over) • MULTIPLICATION • INVERSE MATRICES • DETERMINANTS
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
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.
Find the inverse: A-1 =
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 matrix Formula: ad-bc
Evaluate the Determinant: • A = 4 - (- 32) = 36
Partner with the most points, take your shot! Those who hit the rim or make it in advance to the FLASH ROUND!!!
Evaluate the determinant: -3-3 = -6
ROUND 3(start scoring over) • Solving matrices
Write in Matrix Form: 7x + 2y = 40 6x + 2y = 34 A X = B
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
Find A-1 7x + 2y = 40 6x + 2y = 34
Solve the equation: X = A-1 B = = 1(40) – 1(34) = 40-34 -3(40) + (34) = -120 + 119 = (6, -1) 7x + 2y = 40 6x + 2y = 34
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)
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)
Partner with the most points, take your shot! Those who hit the rim or make it in advance to the FLASH ROUND!!!
FLASH ROUND: • Solve using your calculator: 2x - 2z = 12 2y - 2z = 12 5x + 2y + 7z = 14 Enter in calc: A-1 B = (4, 4, -2)