Geometry Quiz 6 December 7, 2010. Bellringer (reteaching) 10 minutes Solve the following equations:...
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Transcript of Geometry Quiz 6 December 7, 2010. Bellringer (reteaching) 10 minutes Solve the following equations:...
Bellringer (reteaching)10 minutes
Solve the following equations:
1. 15b - 10 = 50
2. 7x + 3 = 2x + 8
3. -11a = 66
MISSING QUIZZES
If you are missing Quiz 5 or Quiz 6. You MUST take your quiz before Xmas break. Failure to take your quiz before Wednesday, DECEMBER 15 will result in ZERO.
This is an in-class assignment for your binder. Label it QUIZ 6 Discussion 12/7 and place in class work section.
PUT IN BINDER!!!!
1.The temperature in Chicago was -5 below at 6am. Five hours later, the temperature dropped an additional 15 degrees. What is the new temperature?
-5 + (-15) = -20 degrees
IN-CLASS WORK
• 2. Draw a horizontal number line on your paper with zero in the middle. Label dot on -2 and dot on 6. Label dot on -2 point A and dot on 6 point B. What is the midpoint of segment AB?
3. What is the value of the expression -2x⁵, when x = -3?
•-2 (-3)⁵ = Remember order of operationsShould you multiply -2 * -3 then raise
to 5th power? So 6⁵ = 7776Should you do -3⁵ then multiply by -2? (-3) x (-3) x (-3) x (-3) x (-3) = (-243)
(-2)(-243) = 486
2(x-3) = 4x +10 Operation distribution
2*x + 2(-3) = 4x + 10
2x – 6 = 4x +10 Combine like terms
-2x = -2x
-6 = 2x + 10 Combine numbers
-10 = -10
-16 = 2x Solve for x
2 2 ⇛ -8 = x
4. What value of x satisfies the equation 2(x-3) = 4x + 10?
5. Kerry scores 15 points in the first game, 22 in the second game, 8 in the third, and 17 in the fourth game. In the 5th game, he was shut down for 0. What is his scoring average after 5 games?
Find average by adding numbers then dividing by the amount of numbers.
15 + 22 + 8 + 17 + 0 = 62 = 12.4 pts/game
5
Find midpoint of AB
Midpoint formula= (x₁ + x₂) , (y₁ + y₂) = (x, y) 2 2
1.Locate points2.Assign points as pt1 and pt23.Label point1 as (x₁ , y₁) and point2 as (x₂ ,y₂)4.Insert into formula
Find midpoint of AB
• A (-2, -8) B ( 5, -2)
pt.1 ⇛(x₁ , y₁) pt.2 ⇛(x₂ , y₂) Midpoint = (x₁ + x₂) , (y₁ + y₂) = (x, y)
2 2
=(-2 + 5 ) , (-8 + -2)
2 2
=(3/2, -10/2) = (3/2, -5) or (1.5,-5)
Find the Distance of AB
Distance formula = √ [(x₂ - x₁)² + (y₂ - y₁) ²] 1.Locate points2.Assign points as pt1 and pt23.Label point1 as (x₁ , y₁) and point2 as (x₂ ,y₂)4.Insert into formula
Find the Distance of AB
• A (-2, -8) B ( 5, -2) (x₁ , y₁) (x₂ , y₂)
• Distance = √ [(x₂ - x₁)² + (y₂ - y₁) ²] = √ (5 – (-2))² + (-2 – (-8))² = √ (7)² + (6)² = √ 49 + 39
= √85
10. What is difference between midpoint and distance of a line?• Midpoint is the middle point of
a line and the distance of a line is the length from one point to another on the line.
Cooperative notes
Students will work in pairs to complete graphic organizer/notes on angle relationships. (30 minutes).
• Lesson 1-4• Use the map of a high
school shown. • a. Name all angles
that have K as a vertex. 8, 6, HKJ, and
JKC • b. Name the sides
of 6. • KJ and KC or KJ and KG• c. What is another
name for AJK? 9, J, and KJA• d. Name a point in
the interior of ECG. • Point F.
Student Parking
Gymnasium
Science Lab
Office
E
D
C
F
GE
K
J
H
4
1
2
35
6
B
A
7
8
910
• Example 3 Measure and Classify Angles
• In the figure, ABD FHG. If mABD = 3x + 6 and
• mFHG = x + 26, find the measures of ABD and FHG.
• Given• Definition of congruent
angles• 3x + 6 = x + 26 Substitution• 3x = x + 20 Subtract 6 from
each side.• 2x = 20 Subtract x from each side.• x = 10 Divide each side by 2.• Use the value of x to find the
measure of one angle.• = 3x + 6Given• = 3(10) + 6 x = 10• = 30 + 6 or 36 Simplify.• The measures of ABD and FHG
are 36.• You can check you solution by
substituting 10 for x in the expression for FHG.
J
B
M
A
D
F
H
G