A ratio is one way to compare two amounts'

1

• A ratio is one way to compare two amounts.
• A ratio can be written in three forms as words,
  as numbers with a colon separating the two
  amounts, and as a fraction.

Gr5-U8-L1
2

• The order of the numbers in a ratio is important
  to the meaning of the ratio. For example, the
  ratio of red cubes to blue cubes is 5 to 3, 53,
  or 5/3, but the ratio of blue cubes to red cubes
  is 3 to 5, 35, or 3/5.

Gr5-U8-L1
3

• A ratio is one way to compare two amounts.
• A ratio can be written as a fraction. For
  example, if you need 1 gallon of white paint and
  3 gallons of yellow paint to make 4 gallons of
  light yellow, the ratio of white paint to yellow
  paint is 1 gallon of white to 3 gallons of yellow
  or 1/3.

Gr5-U8-L2
4

• Finding equivalent ratios is like finding
  equivalent fractions. You can find an equivalent
  ratio by multiplying both amounts in the ratio by
  the same number.
• Finding equivalent ratios is like finding
  equivalent fractions. You can find an equivalent
  ratio by dividing both amounts in the ratio by
  the same number.

Gr5-U8-L2
5

• A proportion is two ratios that are equivalent.
  For example,
• 3 12
• 0.75 3.00
• A given situation can be represented by several
  different proportions.

Gr5-U8-L3
6

• A result of an experiment is called an outcome.
• To find the probability of an outcome, we have to
  consider all possible outcomes.

Gr5-U8-L4
7

• The outcome we are trying to get is called the
  favorable outcome. For example, if we want to
  find the probability of rolling a three on a
  standard number cube, three is the favorable
  outcome.
• Probability can be written as the ratio of the
  favorable outcomes to all the possible outcomes.

Gr5-U8-L4
8

• Probability can be written as the ratio of the
  favorable outcomes to all the possible outcomes.
• We can multiply the probability ratio by the
  number of trials to predict the outcome.
• The larger the sample size, the closer the
  outcome is likely to be to what we predict based
  on the probability.

Gr5-U8-L5
9

• Making a tree diagram is a quick way to find all
  possible outcome combinations without
  experimenting or guessing.

Gr5-U8-L6
10

• Percents are another way to represent amounts
  which can be expressed as fractions or decimals.
• The word cent means 100 and a percent is a
  ratio based on 100.

Gr5-U8-7
11

• The symbol represents percent. It means the
  whole is divided by 100 just as /100 means
  the whole divided by 100 and 2 decimal places
  means the whole is divided by 100.
• 100 of any amount represents the entire amount
  or the whole.

Gr5-U8-7
12

• 25 of any amount represents 1/4 of the whole.
• 75 of any amount represents 3/4 of the whole.
• It is important to recognize the relationship
  between common fractions such as 1/4, 1/2, and
  3/4, and 25, 50, and 75 of a whole amount
  because it helps us compare the size of different
  percents.

Gr5-U8-7
13

• 100 of any amount represents the entire amount
  or the whole.
• We can describe parts of all sorts of wholes
  using percents.
• We can use what we know about the relationship
  between the common fractions 1/4, 1/2, and 3/4
  and 25, 50, 75 of a whole to estimate
  considered portions of a whole.

Gr5-U8-8
14

• It is important to determine the size of the
  whole to understand what a percent of the whole
  means.
• You can use what you know about the relationship
  between common fractions and percents of the
  whole (1/4 25, 1/2 50, 1 whole 100), to
  find percents of wholes that are not easily
  divided into 100 equal parts.

Gr5-U8-9
15

• 100 of any whole means that the entire whole is
  being considered.
• 50 of any whole means that 1/2 of the whole is
  being considered.
• 25 of any whole means that 1/4 of the whole is
  being considered.

Gr5-U8-10