Fractions A Great Big Piece of Fun

Fractions Fractions were invented to express numbers that are in between whole numbers. Fractions can show measures between whole numbers on rulers or scales.

Fractions Fractions can name part of a whole object or part of a collection of objects. whole collection

Fractions Fractions can express chance or probability - 1 out of 3 chance (1/3) Fractions can represent division ¾ = 3÷4 = .75 Most fractions are fractions of “something” referred to as the whole, one, or unit.

(a little more than half) Fractions The number on the bottom of the fraction is called the denominator. The denominator tells you how many parts the whole is divided into. 5/9 = 5 out of 9 total pieces (a little more than half)

Fractions The numerator is the number on the top part of the fraction. The numerator names the number of parts under consideration. ½ = 1 out of 2 parts

Answer the question with a fraction An hour is what fraction of a day? A minute is ______ of an hour? A second is _____of a minute? Four days is ______ of a week? Answer the question with a fraction

Answer the question with a whole or mixed number How many hours is: 120 minutes? 150 minutes? 75 minutes? Answer the question with a whole or mixed number

⅛ = (x3) 3/24 ⅛ = (x2) 2/16 Equivalent Fractions The value of a fraction or piece of a unit may have many names. To find another name for a fraction, multiply the numerator and denominator by the same number. ⅛ = (x2) 2/16 ⅛ = (x3) 3/24 Equivalent Fractions

Equivalent Fractions 50/100 = (÷5) 10/20 50/100 = (÷10) 5/10 The value of a fraction or piece of a unit may have many names. To find another name for a fraction, divide the numerator and denominator by the same number. 50/100 = (÷5) 10/20 50/100 = (÷10) 5/10 Equivalent Fractions

Fraction Frenzy

To put fractions in order you need to consider the value of the fraction, not just the name. Remember that a fraction is a piece of a unit. The denominator tells you how many pieces in the total unit. The numerator tells you how many pieces out of the total you are working with. Compare and Order

Think about the fraction falling between the values of 0 and 1 on a number line. 0 ----------1 Would you place 2/16 closer to the 0, 1/2 or 1? Estimation

Think about the fraction falling between the values of 0 and 1 on a number line. 0 ----------1 Would you place 1/8 closer to the 0, 1/2 or 1? Estimation

Think about the fraction falling between the values of 0 and 1 on a number line. 0 ----------1 Would you place 9/15 closer to the 0, 1/2 or 1? Estimation

When you compare fractions, a few rules will make the job much easier for you. When all the denominators are the same, all the pieces are the same size. You only need to compare how many pieces each fraction has (numerator). 6/8, 3/8, 5/8, 8/8 3/8, 5/8, 6/8, 8/8 Rules for Ordering

When you compare fractions, a few rules will make the job much easier for you. When all the numerators are the same, there are the same number of pieces for each fraction. Think of the size of the pieces to compare. (Remember, the bigger the number, the smaller the piece!) 2/7, 2/9, 2/5, 2/12 2/12, 2/9, 2/7, 2/5 Rules for Ordering

Let’s Practice Put the following fractions in order: 2/3, ¼, 1/3, ¾ ¼, 1/3, 2/3, 3/4 3/5, 5/10, 9/20, 1/25 1/25, 9/20, 5/10, 3/5 3/7, 1/10, 7/8, 5/7 1/10, 3/7, 5/7, 7/8 Let’s Practice

Time to check your homework! Put the following fractions in order: 5/9, 2/5, 1/6, 9/10 1/6, 2/5, 5/9, 9/10 4/8, 4/7, 3/5,4/9 4/9, 4/8, 4/7, 3/5 Time to check your homework! Let’s Practice

Fractions For this activity, you will need a partner. Each pair will need 20 counters and page 122. We will be working together as a class. Please do not work ahead.

Fractions On this sheet, there are three types of problems: Whole and part are given and the solution requires you to name the fraction. 8 puppies and 3 of them are girls. What fraction of the puppies are girls? Complete problems 1 and 2

Fractions Whole is given and the fraction is named. The solution requires you to name the part. If Joe has 21 coins, how many coins would be in 1/7 of his collection? Complete problems 3, 4, and 7

Fractions The part is given and the fraction is named. The solution asks for the value of the whole. If $5.00 is 1/5 of the ticket price, what is the total cost of the ticket price? Complete problems 5, 6, and 8

Fractions How can a ruler teach us about fractions? Each inch on a ruler is broken into equal pieces. The inch would be the unit or whole. The hash marks between each inch would be the fractions of the inch.

} One Inch

} One Half Inch

Each inch is broken into 8 equal pieces or eighths (1/8)

} One Half Inch

If each inch is broken down into eights, how many eighths in one-half an inch?

If each inch is broken down into eights, how many eighths in one-quarter an inch? 1 inch = 8/8 ½ inch =4/8 ¼ inch = 2/8

How many different names can ½ have on your ruler? Look at your ruler. What fractional part is each inch broken into? How many different names can ½ have on your ruler?

How can we use a ruler to help us add fractions?