52 West Main Street

Washingtonville, NY 10992

Phone: 845.497.4000

Fax: 845.497.4030

Washingtonville, NY 10992

Phone: 845.497.4000

Fax: 845.497.4030

Topic of the Week:

Mr.Chin's Class: Module 1, Lesson 4 - Read the Lesson Summary and complet the Problem Set. Finish Finding Equivalent Fractions 1.

Mr. Andersen's Class. : Module 1, Lesson 4 - Read the Lesson Summary and complet the Problem Set. Finish Finding Equivalent Fractions 1

A. Ratios are comparisons. They show how two amounts compare to each other. Ratios are expressed as a fraction, with a colon (:) or with the word "to".

Example: For every 2 red candies there are 5 blue candies. The ratio here can be expressed in three ways: 2/5, 2:5 or 2 to 5

Example: For every 2 red candies there are 5 blue candies. The ratio here can be expressed in three ways: 2/5, 2:5 or 2 to 5

Two ways to use your words to describe a ratio can be seen below. These two ways describe a group of fruit that is made up of **3 apples and 7 oranges**.

a. The ratio of the number of apples to the the number of oranges is**3 to 7**.

a. The ratio of the number of apples to the the number of oranges is

b. For every **3** apples there are **7** oranges.

B. Expressing a ratio in a sentence form is easily accomplished if you use these two sentence starters:

1. Using 3:2 - For every 3 bananas, there are 2 apples.

2. Using 3:2 - The ratio of the number of bananas to the number of apples is 3:2.

1. Construct the tape diagram.

2. Use division to solve for the value of nonzero number c.

3. Use multiplication and the value of nonzero number c to help you find the value of the second tape.

4. State your answer by using the words in the question.

D. Discovering Equivalent Ratios

If you can list multiples of a number, then you can find equivalent ratios for most given ratios. Multiples are numbers that we can county by.

For example, the multiples of 2 are 2, 4, 6, 8, 10, etc...

The multiples of 3 are 3, 6, 9, 12, 15, etc...

For example, the multiples of 2 are 2, 4, 6, 8, 10, etc...

The multiples of 3 are 3, 6, 9, 12, 15, etc...

The multiples of 4 are 4, 8, 12, 16, 20, etc...

If I start with the ratio 4:3, I can use multiples to find equivalent ratios (ratios that are equal to 4:3).

Looking at the multiples of 4, I can see that the next three numbers are 8, 12, and 16.

Looking at the multiples of 4, I can see that the next three numbers are 8, 12, and 16.

Looking at the multiples of 3, I can see that the next three numbers are 6, 9, and 12.

If I match the multiples in order, I get the following ratios that are equal to 4 to 3:

8:6, 12:9, and 16:12

There are an infinite number of equivalent ratios.