Chapter 1: Attributes of polygons, Predicting Results, Area Models, Angle pair relationships
Chapter 2: Dilation, similarity, similarity proofs
Chapter 3: Tangent Ratio, Probability, Expected Value
Chapter 4: Factoring, Trigonometry, Inverse Trigonometry
Chapter 5: Graphing parabolas. From an equation, create a table of values, identify the x and y-intercepts, graph
100
Identify this shape
Kite
100
Why are these triangles congruent?
ASA \cong
100
Bag 1 Contains 2 red candies, 3 green candies, and 1 purple candy
What's the probability of pulling out a purple candy? That is, what is P(Purple Candy)?
1/6 or 0.1667 or 16.67%
100
Factor
x2 + 4x - 12
(x + 6)(x - 2)
100
Identify the x and y-intercepts
x - intercepts: (-1,0) & (3,0)
y - intercept: (0, -3)
200
Buzz Light-Year's catch phrase
"To infinity and beyond!"
200
What are two similarity statements that are true for why these triangles are similar?
Yes, by SAS∼
Yes, by AA∼
Yes, by SSS∼
200
Bag 1 contains 2 red candies, 3 green candies, and 1 purple candy
Bag 2 contains 2 red candies, 2 green candies, and 2 purple candies
What's P(Green from Bag 1 and Purple from Bag 2)?
3/6 *2/6
= 1/2 * 1/3
= 1/6 = 0.1667 = 16.67%
200
Factor
49x2 - 100
(7x + 10)(7x - 10)
Difference of squares
200
Identify the a, b, and c terms. Why is c important?
y = x2 - 3x - 18
a = 1
b = -3
c = -18, which is the y-intercept (0.-18)
300
Name this angle pair relationship
Corresponding Angles
300
What is the dilation factor?
1/2
300
What ratio do you use to solve for the missing side (x)?
What's the equation?
Tangent Ratio
tan(22) = x/16
300
Solve for side x using Trigonometry
SOH CAH TOA
tan(22) = 7 / x
x = 7/tan(22)
x is approximately 17.33 meters
300
What are the x and y intercepts for the equation
y = x2 - 3x - 18
y-intercept is (0, -18) because it is the last number in the equation y = x2 - 3x - 18
For the x-intercepts, factor and use ZP
(x - 6)(x + 3)
So, by ZP, the x-intercepts are (6,0) & (-3,0)
400
What is the specific name of the shape that belongs on the outside of the Venn Diagram?
The two categories are "Contains a right angle" and "ALL sides are the same length"
Isosceles Trapezoid
400
Solve for the hypotenuse, given the triangles are similar
x = 11.25
But the hypotenuse is 12.75
(Scale Factor is 6/8 or 0.75)
400
What ratio do you use to solve for the missing side (x)?
What's the equation?
Sine Ratio
sin(20) = 10/x
SOH CAH TOA
400
What is the missing angle (x) in degrees?
SOH CAH TOA
x = Sin-1 (8/11)
x is approximately 46.66 degrees
400
Find the equation from the table/graph in standard form
Identify x-intercepts as (1,0) & (5,0)
(x - 1)(x - 5) by ZP
x2 - 6x + 5
Check y-intercept (0,5) matches equation ✅
y= x2 - 6x + 5
500
What is the converse of the statement
"If I am in Disney Land, then I am in California"?
"If I am in California, then I am in Disney Land"
500
Solve for y
y = 18.75
You need to set up a proportion from the small triangle to the big triangle.
The small triangle has two sides 9 and 7.5
The big triangle has two sides (9+13.5) 22.5 and y
500
Calculate Expected Value
-3(1/4) + 10(1/4) + 6(1/2)
= 4.75
500
Factor
2x2 + 5x - 7
(2x + 7)(x - 1)
Use x-box method
500
Tell me the equation in standard form, if the x-intercepts are (-1,0) & (4.0) and the y-intercept is (0,4)
x-intercepts are (-1,0) & (4,0)
Graph is negative, because it opens down
y = -(x+1)(x-4) by ZP
y = - (x2 - 3x - 4)
So, y = - x2 + 3x + 4 which matches the y-intercept of (0,4)