Scaling (Unit 1)
Proportional Relationships (Unit 2)
Circles (Unit 3)
Basic Math
100
Is the following a scaled copy? Why or why not?
No
100
What are the two characteristics of a proportional graph?
Goes through the origin (0,0)
Straight line that runs through each of the points
100
What is the formula for the circumference of a circle?
πd
(pi times the diameter)
100
What is 4096 x 100?
409600
200
Polygon B is a scaled copy of Polygon A.
What is the scale factor from Polygon A to Polygon B?
The scale factor is 2
200
Santa's sleigh is traveling at 150 miles per hour. How far will his sleigh go in 12 hours?
1800 miles
200
What is the formula for the area of a circle?
πr2
(pi times the radius squared)
200
What is 1095 ÷ 5?
219
300
Triangle S and Triangle L are scaled copies of one another.
What is the scale factor from L to S?
The scale factor is 1/2 (or 0.5)
300
What is the equation for any proportional relationship?
y = kx
where k = constant of proportionality
300
A reindeer's hoof is very small, at only 1.5 inches diameter. What is the radius of their hooves?
0.75 inches (3/4)
300
Santa is dividing presents out among the class. If he has 39 presents, and there are 13 people in the class, how many presents will each student get?
3
400
A model of Santa's sleigh is built at a scale of 1 to 72. If the model sleigh is 8 inches long, how many feet long is the actual sleigh?
576 inches or 48 feet
400
One kilometer is 1000 meters.
Complete the table showing the number of meters.
1. 1 - 1000
2. 5 - 5000
3. 20 - 2000
4. 3 - 300
400
Santa's elves are making a birthday cake. The cake's diameter is 10 inches. What is the total area they will need to frost on top of the cake?
25π or 78.5 inches2
400
One reindeer can pull up to 460 pounds in a sleigh. Santa has 12 reindeer. How much weight can the reindeer pull together?
5520 lbs
500
Quadrilateral A has side lengths 2, 3, 5, and 6. Quadrilateral B has side lengths 4, 5, 8, and 10. Could one of the quadrilaterals be a scaled copy of the other? Explain.
No. If I compare sides, the ratios are not equivalent
2 - 4 (x2)
3 - 5 (x1.6)
5 - 8 (x1.6)
6 - 10 (x1.6)
500
A mall has sold 5000 tickets for an upcoming event where people can meet Santa. They want to make a total of $177,500 in sales from these tickets.
- Assuming that all tickets have the same price, what is the price for one ticket?
$35.50
500
Mrs. Claus is making a small pie for one of the elves' birthdays. Its diameter is 6 inches. What is its circumference? What is its area?
circumference - 6π or 18.84inches
area - 36π or 113.04 inches2
500
Mrs. Clause is making her famous Christmas pie for when Santa gets home. She mixes 1/4 cup of milk with 1/2 cup of cream. How much liquid does she have all together?
3/4 cup