StAIR project by: Dana Collett CEP 811 Created for 4th-6th grade Fraction Frenzy
Introduction • Welcome! I have you are ready to learn. • Supplies • Paper and pencil • At the end there are extra resources, please take the time to look at them. • For this powerpoint, use the space bar at each slide until you see and then use the arrows at the bottom on the page.
Objectives and Standards • Understand the concept of a fraction and the vocabulary • Generate equivalent fractions • Convert improper fractions into mixed numbers • Add and subtract fractions with like and unlike denominators • Compare fractions using <, >, and =
Table of Contents • Understanding this PowerPoint • What are fractions • Vocabulary • Equivalent Fractions • Compare Fractions • Improper fractions and Mixed Numbers • Add and Subtract Fractions
How to navigate.... • You can start at the beginning- hit the space bar to help you navigate through the slide and then...... • When you see the equal sign at the bottom of the page- that is your signal to click on the “Next Slide” button. • OR • The stars on the Table of Contents slide will lead you to that particular slide. • The buttons on the bottom • will take you to the NEXT page • will take you to the PREVIOUS page • The math operations swirl in the middle will take you to the table of contents- just click on it! • Turn your volume up and Enjoy
What are Fractions? • Check out this Scholastic tutorial on fractions: • Scholastic Fractions Studyjams • Want to do more? Click on the link below to take you to another game. • http://www.vectorkids.com/vkfractions.htm • A fraction is a number that names part of a whole. • A fraction MUST be broken into EQUAL pieces • Can you think of things in our everyday life that contain fractions?
Show Me Fractions • ⅓ can look like this: • OR this: • Visualize • Create and Visualize your own fractions • True or False: Both of these pictures show ¾ ? TRUE FALSE
You Did it! Way to go! • In both pictures, the bar is divided into 4 equal parts and three parts are shaded. Even though they are not the same three parts, both still represent ¾ .
Try Again • Hint: Think about what the numerator and denominator are telling you. • 2nd Hint: ¾ means there are 3 shaded parts out of 4 equal parts
Vocabulary • Fraction • Equal parts of a whole • Numerator • The number ABOVE the fraction line that tells how many parts of the whole are being considered • Denominator • The number BELOW the fraction line that tells how many EQUAL parts are in the whole • Equivalent fraction • Fractions that name the same amount • Improper fraction • When the numerator is greater than the denominator (e.g. 11/6) • Mixed number • A whole number and a fraction (e.g. 2½ or 3⅙)
Let’s Review..... Fill in the blank using the vocabulary words in the word bank below. (Write your answers on your paper) • 12/3 is an example of an ____________________. • In ⅗ the number 3 is the ___________________. • ½ and 4/8 are ___________________. • ⅘ is a _____________. It means that there are 5 equal pieces in the whole and 4 are being considered. • A ______________ is a whole number and a fraction, like 2⅞ • The _______ ______ tells you how many equal parts are in the whole. Equivalent Fractions Numerator Denominator Improper Fraction Fraction Mixed Number
Let’s Review (Answers) • 12/3 is an example of an improper fraction. • In ⅗ the number 3 is the numerator. • ½ and 4/8 are equivalent fractions. • ⅘ is a fraction. It means that there are 5 equal pieces in the whole and 4 are being considered. • A mixed number is a whole number and a fraction, like 2⅞ • The denominator tells you how many equal parts are in the whole.
Equivalent Fractions • Equivalent fractions are fractions that name the same amount. Take a look at the picture. 1/2 = 2/4 1/2 = 3/6 5/10=4/8 Notice that all the fraction bars line up and they are all equivalent.
Equivalent Fraction Review • http://www.abcya.com/fraction_tiles.htm • Use the website above to create equivalent fractions. • Still want more? Go the PBS website and match equivalent fractions. • http://pbskids.org/cyberchase/games/equivalentfractions/index.html Which fraction is equivalent to ½? 1/3 3/6 5/6 8/12
Oh no • What went wrong? • Go back a couple slides and look at the pictures that shows equivalent fractions for ½ . • Still Need Help? Take a look at this: http://www.abcya.com/fraction_tiles.htm
YES!!! • 1/2 is EQUIVALENT to 3/6
Compare Fractions • Click on this tutorial to learn about how to compare fractions. • When you are finished, continue on, to the interactive practice and even use the fraction bars to help you! • ⅖⅘ • ⅞ ⅜
You Got It Superb Excellent Wonderful
Let’s Try Again Grab some fraction bars if you are having difficulty! Hit the Previous page button to go back to the slide.
Improper Fractions and Mixed Numbers Review • Mixed Numbers • 2 ½ or 3 ⅚ are both examples of mixed numbers. • You can turn a mixed number into a fraction by multiplying and adding. • Mixed Number into Fraction • Multiply the whole number and the denominator. • Then, add the numerator. • The denominator STAYS the same! • Go to the next slide to check it out. • Improper Fractions • Are “top heavy” • The numerator is greater than the denominator. • Improper Fractions to Mixed Numbers • Look at the fraction as a division sign. • In the example, you would do 7 divided by 5. The quotient is the whole number, the remainder is the numerator and the denominator stays the SAME.
Mixed Numbers to Improper fractions • http://www.coolmath.com/prealgebra/01-fractions/fractions-07-improper-03.htm
Try Some~ • Turn these improper fractions into mixed numbers 1) 11/3 2) 5/6 • Turn these mixed numbers into improper fractions 3) 2 ⅓ 4) 1 ⅝ Don’t hit this until you have FINISHED all the problems
Try Some Answers • Turn these improper fractions into mixed numbers 1) 11/3 11÷ 3 = 3 r2 3 2/3 2) 5/6 5÷6= 1r1 1 ⅙ • Turn these mixed numbers into improper fractions 3) 2 ⅓ 2 x3 +1 = 7/3 4) 1 ⅝ 1x8 +5 = 13/8
Add and Subtract Fractions with Like Denominators • When adding or subtracting fractions with LIKE denominators, you add the numerators ONLY and keep the denominator the same. • 3 – 1 = 3 – 1 = 2 4 4 4 4
Think about It On your sheet of paper, write the answers to the following questions. Make sure to write in complete sentences. • Name 3 things that require the use of fractions? • You are baking a cake, it calls for ¾ cup of sugar. You do not have a ¾ cup, how are you going to measure out the correct amount of sugar? • How are fractions related to measurement? • Write 2 things you learned and 2 things you still need to work on.
Storybird • Take a look at how digital storytelling can teach you about fractions • You Use Fractions Everyday • Adventures in Understanding Fractions • How Peter Learned Fractions
Fraction Online Games • Here’s a challenge- this site wants you to make ½ in 13 different ways! • 13 ways looking at a half • Make different pizza according to client’s orders • Tony's Pizza Shop • Lkdfajsdkl • Check out these games as well • Gamequarium • Visual Fractions
Resources Take a look at the various resources below. Click on a few to enhance your understanding. • Pizza in terms of Fractions! • http://www.aaamath.com/fra.html • http://www.ixl.com/?gclid=CPnv37_MtqgCFRIq7Aodxi9jEw