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. 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 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) 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 Look at your ruler. What fractional part is each inch broken into? How many different names can ½ have on your ruler? LET’S PLAY A GAME CALLED MASTERMIND