Document Sample

Unit 5 Fractions Percents Circle graphs Mrs. Z’s Class is the Best! Key Goals •Add fractions with like denominators •Order and compare fractions •Convert between fractions and percents •Draw a circle graph for a set of data •Measure pieces of a circle graph Click on me now •Interpret a circle graph for an interactive •Convert between fractions and mixed tutorial on numbers fractions! •Find equivalent fractions Click Me Click Me to for Help! Float On! Add fractions with like denominators • A fraction has two parts: the Click me to numerator and the denominator create a worksheet! • The numerator is the number on top, the denominator is the one that’s DOWN on the bottom. • The numerator is the NUMBER of pieces you have • The denominator is the size of the pieces Click me to play a game! Try It Out 1/6 of the sections on the 1st ball are red. 3/6 of the sections on the second ball are sections? red. What is the fraction of redtheis 4/6 The answer because size of the pieces are sixths. When you add 1/6 to 3/6 you add the numerators (1 +3) and keep the denominator the same (6). 1/6 + 3/6 = 4/12 7/9 4/6 2/12 4/9 + 3/9 = Try It Out 7/9 1/9 The answer is 7/9 because the size of the pieces are ninths. When you add 4/9 to 3/9 you 7/18 add the 1/18 numerators (4 +3) and keep the denominator the same (9). 6/8 + 7/8 = Try It Out 8/13 1/8 The answer is 13/8 because the size of the pieces are eighths. When you add 6/8 to 7/8 you add the numerators 13/16 13/8 (6 +7) and keep the denominator the same (8). Order and compare fractions • The numerator is the NUMBER of pieces you have • The denominator is the size of the pieces • If something is cut into more pieces those pieces are going to be smaller. Play a game Strategies for comparing and ordering fractions… • One strategy for comparing fractions is to think about their relationship to one and zero. For example, 5/6 is almost all of the pieces, so it would be close to 1; 1/6 is close to none of the pieces, so it would be closer to zero. • Another strategy is to convert the fractions to a decimal and then compare the decimals. (numerator divided by denominator = decimal) • A third strategy is to find a common denominator among your fractions and compare the numerators. It helps to simplify the fractions! If you need a set of fraction bars, click here Try It Out…. 4/9 _____ 6/9 The correct answer is 4/9 < 6/9 because in these two fractions, the denominators are the same. Therefore, the pieces are the same size. Four of these pieces are less than six. < > = 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 Try It Out…. 8/9 is > 7/8 8/9 _____ 7/8 In each of these two fractions, there is all but one piece. However, because 9ths are smaller than 8ths, the remaining 1/9 is smaller than the remaining 1/8. < > = Try It Out…. 1/3 is < 5/12 1/3 _____ 5/12 If you change 1/3 into an equivalent fraction, it would be equal to 4/12. 4 out of 12 is less than 5 out of 12. < > = Convert between fractions and percents •Fractions and percents are both ways of representing a part out of a whole. •An equivalent percent for a decimal or a fraction can be found by finding an equivalent fraction out of 100 since “percent” means “per 100”. In this case, the numerator would be the percent. •A fraction or decimal can be formed from a percent by creating a fraction where the numerator is the percentage and the denominator is 100, or by dividing the percent by 100. Here are some examples…. Click on the small pails to play practice games! Click on the characters to play fraction and percent games and activities! Draw a circle graph for a set of data. How to Make a Pie Chart Pie charts are an easy way to visualize percentages. They are useful for analyzing polls, statistics, and managing time or money. Click me for a Steps worksheet! 1.Organize your data. First gather your data. 2.Add it all together. Add all of the numbers to get a denominator. 3.Get the numerator. Get the numerators by taking each part of the data. 4.Convert your fractions to a decimal. By taking the numerator divided by the denominator. 5.Convert the decimal to a percent. Move the decimal two places to the right. 6.Get the angle. Multiply the percent by 360 to get an angle. 7.Use a compass to draw a circle. If you don't have a compass, try tracing something round such as a lid. 8.Draw the radius. Start in the exact center of the circle and draw a radius to the outside of it. ( Hint: Use the dot made by the compass to find the center. 9.Place your protractor. Place your protractor on the circle so that the 90 degrees are directly above the center of the circle. 10.Draw each section. Draw the sections by using the angles you got in step six. Each time you add a section the radius changes to the line you just drew. Click me to use the Tips computer to create a • Remember that all good graphs have a title and labels. circle graph. • Add the name of the sections and the percent they represent to the chart. • Color each section of the pie chart a different color to easily visualize the results. • If you do not have a very good compass, it is easier to draw the circle by holding the compass still and turning the paper. Measure Pieces of a Circle Graph Click the links next to each step for more information. Steps 1. Measure the angle of the sector you are trying to measure using a protractor. 2. Turn that measurement into a fraction out of 360° 3. Change that fraction into a decimal by dividing the measurement by 360° 4. Then multiply the decimal by 100 to change it into a percent. A full circle will consist of 360 degrees. Therefore 1% on a pie chart will be represented by 3.6 degrees. Just multiply the angle measure by 3.6. Click me to test Interpret a circle graph your skills! When you interpret a circle Click me for a graph, there are some key worksheet things to remember: -Look carefully at the title and key so that you can tell what data is being represented. -Remember that each section Click me to print a represents a part out of the different worksheet. whole. (Answer Key included) - The larger the section, the greater the percentage. Click me for an online explanation and trial with feedback! Convert between fractions and mixed numbers. • A FRACTION is a part out of a whole. The numerator tells the number of parts you have, the denominator tells how many parts it takes to make one whole. • A fraction that has more parts than it takes to make one whole is called an improper or top-heavy fraction. In these fractions, the numerator is greater than the denominator. • A MIXED NUMBER is a whole number with a fraction. This drawing represents the fraction 5/4 and the mixed number 1 ¼. It’s good to understand both forms of this quantity because at times it is easier to work with mixed numbers (adding and subtracting so that you don’t have to simplify as much), and at others it’s easier to work with improper fractions (multiplying and dividing so that you don’t forget to multiply all of the numbers together.) Learn about and practice converting improper fractions and mixed numbers by clicking the objects on this slide. Finding Equivalent Fractions Two fractions are EQUIVALENT if they are equal. This means that the relationship between the numerator and the denominator of one fraction is the same as the relationship between the numerator and denominator of the other fraction. For example 3/6 is equivalent to 10/20 because the relationship between the numerator and the denominator is the same in each case: 3 is ½ of 6, and 10 is ½ of 20. Another way you can look at it is if two fractions are equivalent, they will have a scale factor between them. The SCALE FACTOR is the number that you multiply or divide the numerator and denominator in one fraction by to get the numerator and denominator of the second fraction. By multiplying 3/5 by 3/3 (remember, that is the same as multiplying by 1 whole), I will arrive at the answer 9/15. Remember that when you are doing this you must BE FAIR x3 and perform the same operation to both the numerator and 3 9 the denominator. = Don’t forget that when you multiply fractions, you multiply the numerators together and you multiply the denominators 5 together. 15 x3 A third way to determine if two fractions are equivalent is to CROSS MULTIPLY. Multiply the numerator of one fraction by the denominator of the other. Repeat this with the other numerator and denominator. If the products are equal, then the fractions are equivalent. 4 2 = 6 3 = = 12 = 12 Find equivalent fractions Click me to play half baked Click me to fractions on funbrain practice. Click me for a visual demonstration Click me to print a Click us to play worksheet fraction frenzy

DOCUMENT INFO

Shared By:

Categories:

Tags:

Stats:

views: | 2 |

posted: | 9/18/2012 |

language: | English |

pages: | 23 |

OTHER DOCS BY 7H1l64p

How are you planning on using Docstoc?
BUSINESS
PERSONAL

By registering with docstoc.com you agree to our
privacy policy and
terms of service, and to receive content and offer notifications.

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.