Scale
When we create a bigger or smaller version of an original while keeping the proportion of its sides we call it...
a. duplicate
b. squared model
c. scale model
scale model
Look at slide B.
How many degrees is angle b?
40 degrees
◦Two angles that add up to 90 degrees and together make a right angle are called?
a. friendly angles
b. complementary angles
c. supplementary angles
b. complementary angle
Nike has a big sale.
Sneakers are now only 60% the original total price (40% off). How much will you pay for sneakers that are usually $100?
See slide G for work.
Answer $60.
Where does Ms. Ana live currently?
Philadelphia
Name one example of a scale model
Answer will vary
ex. a small replica of the statute of liberty, an architects scaled model of a building
Look at slide B.
How many degrees is angle A?
140 degrees
See slide D.
If the two angles listed are complementary, what does x equal?
56 degrees
16 out of 20 people use debit cards instead of checks. What percentage like to use debit cards?
80%
16 = %?
----- -----
20 = 100%
= (16 x 100) / 20
= 1600/20
= 80
Probability
What is the probability of a dice landing on 3 or 4?
2/6
Why?
There is one 3 side and one 4 side. There are a total of six sides.
Which of the triangles listed on slide A is not a scaled model of the original?
a. copy 1
b. copy 2
c. copy 3
c. copy 3
Vertical angles are
a. across from each other
b. measure the same number of degrees
c. both a & b
c.
See slide E
Which of the angles listed would have a complementary angle of 55 degrees?
Angle # 5
35 + 55 = 90 degrees
A cake receipe calls for 2 spoons of butter for every 3 cups of flour.
How much butter do we need to make a larger cake that requires 12 cups of flour?
8 spoons of butter.
2 butter spoons = 3 flour cups
----------------- ---------------
? = 12 flour cups
= (2x12) / 3
= 24 / 3
= 8 spoons of butter
See Slide I.
What will each of the vertical angles equal?
Hint: Solve for x and plug it back in to one of the angle's equation.
40 degrees
5x = 2x + 24
-2x = -2x
3x = 24
x = 24/3
x = 8
5x (plug it in)
= (5 * 8)
= 40 degrees
Ms. Ana drew a floor plan of her classroom using the scale 1 inch to 6 feet.
In her small scaled model, her desk is 2 inches. How long is her actual desk in feet?
12 ft. long
Look at slide C.
What does the angle labeled 7x equal in degrees?
70 degrees because x = 10
7x = 7 *10
= 70
Supplementary angles add up to _______ degrees.
180 degrees
Jordan had a even bigger sneaker sale! You paid $50 for a pair of sneakers that is usually $150.
What percent of the total price did you pay?
$150 $50
------- = --------
100% ?
=(100 x 50) / 150
=(5000) / 150
= 33%
What is the second most populated city (most people) in the us?
Los Angeles
In Ms. Marisol's small scaled model of her office, her desk is 1.5 inch.
If the scales she used to draw her classroom is 1in = 3 ft, how big is her actual desk?
4.5 ft
Angle 1 equals 70 degrees.
Angle 2 is a verical angle to angle 1. It is labeled 2x.
What does x stand for?
35 degrees
See Slide F.
What are the supplementary angles for angles 8, 9 & 10?
8 = 165 degrees
9 = 20 degrees
10 = 75 degrees
Your cousin's favorite food is shrimp tacos. It's her bday and you want to cook for your family. You know each taco requires 3 shrimp and each member of your family eats 4 tacos.
How many people can you feed with 84 shrimp?
1 person eats 12 shrimp (3 shrimp x 4 tacos)
12 Shrimp 84 Shrimp
------------- = ----------------
1 person ? persons
= (84 x 1) / 12
= 84 / 12
= 7 persons
Probability:
If you have 3 sneakers, 3 sweatshirts, and 5 shorts, how many different outfits can you make?
= 3 x 3 x 5
= 45 possible combinations