Proportions, Percent of Change (increase/decrease), Percent of Total, Number Theory, Factors and Multiples, Estimation

Question 1

ratio

Answer 1

a comparison of two numbers using a fraction, a colon, or the word “to”. Ratios have the same units

Question 2

rate

Answer 2

a ratio with different units

Question 3

What is the verbal statement for 4 dogs : 3 cats

Answer 3

four dogs for every 3 cats

Question 4

What is the fraction for four dogs for every 3 cats

Answer 4

4 dogs/3 cats

Question 5

What is the colon of 4 dogs/3 cats

Answer 5

4 dogs : 3 cats 4:3

Question 6

What word is commonly used to verbalize a unit rate phrase?

Answer 6

per

Question 7

Unit Rate

Answer 7

a rate with a denominator of 1

Question 8

Ratio example

Answer 8

2 feet/3 feet same units

Question 9

Rate example

Answer 9

25 miles/3 hours different units

Question 10

Proportion

Answer 10

3 inches/14 miles=x inches/84.5 miles

Question 11

How do I know to use a proportion?

Answer 11

• Contains a scale
• Each of the numbers contains units
• There are 3 numbers with units, and the problem asks for a 4th number with units.
• Contains an equivalency statement that represents a rate

Question 12

How is a scale is typically given?

Answer 12

a scale is typically given using a colon

Question 13

What is the equation for finding the percent of change?

Answer 13

new number - original number/original number
then convert the fraction to a decimal and then convert to a percent
if the percent is positive, the percent of change was an increase, if the percent is negative, the percent of change was a decrease.

Question 14

Examples of counting numbers

Answer 14

1,2,3,4,5,6,….

Question 15

Examples of whole numbers

Answer 15

0,1,2,3,4,5,6,…

Question 16

Integers

Answer 16

…,-5,-4,-3,-2,-1,0,1,2,3,4,5,…

Question 17

Rational Numbers

Answer 17

any number that can be written as a fraction a/b, where a and b are any integer.

Question 18

True or false: Rational Numbers include all terminating and repeating decimals.

Answer 18

True

Question 19

Prime

Answer 19

A positive integer that only has 1 and itself as factors. Ex. 2,3,13,29

Question 20

Composite

Answer 20

A positive integer that has factors other than 1 and itself . Ex. 4,12,27,44

Question 21

Even

Answer 21

A number that is divisible by two

Question 22

Odd

Answer 22

A number that is not divisible by two

Question 23

Is 1 prime, composite, both, or neither?

Answer 23

1 is neither prime nor composite

Question 24

True or False: 2 is not a prime number

Answer 24

False, 2 is the only even prime number

Question 25

Is 0 an even or odd number

Answer 25

0 is an even number

Question 26

Is the sum of two even numbers always even or always odd?

Answer 26

the sum of two even numbers is always even

Question 27

True or false: the sum of two odd numbers is always odd

Answer 27

False, the sum of two odd numbers is always even

Question 28

Is the sum of an even and odd number odd or even?

Answer 28

the sum of an even number and an odd number is always an odd number

Question 29

What does prime factorization refer to

Answer 29

it refers to finding all of the prime numbers, that when multiplied together, result in a composite number

Question 30

What is the prime factorization of 24

Answer 30

2x2x2x3 or 2^3x3

Question 31

What is the GCF or Greatest Common Factor

Answer 31

the largest number that divides into all numbers in a given set. The GCF can only be as large as the smallest number in the set

Question 32

What is the LCM or Last Common Multiple

Answer 32

the smallest multiple that all the numbers in a set have in common

Question 33

What are two ways to find Factors and Multiples?

Answer 33

Listing and Factor Trees

Question 34

Estimation

Answer 34

finding a rough calculation or approximation; different estimation strategies are helpful in different situations

Question 35

Compatible Numbers

Answer 35

Estimating by rounding pairs of numbers to numbers that are easy to add, subtract, multiply, or divide
Example: 31.8÷5.2 becomes 30÷5, so the estimated value is 6

Question 36

Clustering

Answer 36

Estimating sums or products when all the numbers are close to a single value.
Example: 42+38+40+41 becomes 40+40+40+40, so the estimated value is 160

Question 37

Front-End Estimation

Answer 37

Estimating by rounding to the greatest place value or the number in front.
Example: 412+58+1,780 would become 400+60+2,000, so the estimated value is 2,460