PPT-Munching on Math Topic Ratios and Proportions

Common Core State Standards 8EE5 Task 1 Copyright 2016 The Regents of the University of California This work was supported by grant number DRL1020393 from the National Science Foundation and grant number 20128075 from the William and Flora Hewlett Foundation. http://www.ipracticemath.com iPracticeMath was an idea stemming from a group of innovative Engineers that were not only Masters of Science and Technology but possessed a passion to take their knowledge and make it accessible, understandable and fun for all ages, grades, and student’s skillsets. Ratios ratios are one number expressed in relation to another by dividing the one number by the other For example the sex ratio of Delaware in 1990 was 343200 females to 322968 males or 106 This can easily be expressed in terms of males to females 9 5 ME 360 35 ME 370 ME 320 ME 350 ME 390 HumSoc HumSoc ME 371 Free Elec Tech Elec MechSE Elec Statistics Tech Elec 46 Science Elec MechSE Elec Free Elec Eng 100 1415 hrs 1415 hrs 16 hrs 16 hrs 175 hrs 165 hrs 18 hrs 15 hrs ME 199 ME 199 ME 199 Freshma 5. : Ratios, Rates & Proportions . Section . 4. Solving Proportions. California Standards. Number Sense 1.2: Interpret and use ratios in different contexts.. Number Sense 1.3: Use proportions to solve problems. Use Cross-Multiplication as a method for solving such problems.. An introduction. Ratios express . relationships. 1 dozen eggs . $2.50. 2 cups of flour. 1 cake. This expresses the relationship that 1 dozen eggs cost $2.50. . This expresses the relationship that 2 cups of flour are needed to make 1 cake. 2. Warm Up. How are these two groups alike? Different?. Group 1. Group 2. Ratio . Flippable. Examples:. . 2 boys for every 3 girls. . 3 dollars for 5 pencils. Ratio. - A comparison of two things.. In this section we will be able to give real life examples of Fractions and Proportions. We will also learn how to solve and evaluate Fractions and Proportions in word problems.. Lesson plan goals. We are constantly using fractions everyday. Most of the time not really even noticing that we are using fractions. Have you ever checked the clock or a watch for the time? Guess what the time is a fraction of a day so any time you use a watch, clock. UNIT 6. Math 7 Plus. So far we have looked at the following ways to use ratios to find unit rates as well as to help us find other equivalent ratios. . GRAPHING IN A COORDINATE PLANE. Best used to make predictions about equivalent ratios. two-proportion inference tests. Chapter 22. Proportions observed in independent random samples . are. independent. Thus, we can add their variances. So…. The standard deviation of the difference between two sample proportions is . Difference Between Proportions. Sometimes we want to see if there is a significant difference between independent groups.. Control group vs. treatment group or placebo group. Men vs. women. Last year vs. this year. Yawn Seed?. Subject. Yawned?. Yes. No. Total. Yes. 10. 4. 14. No. 24. 12. 36. Total. 34. 16. 50. Trial. Number who yawned in yawn seed group. Number who yawned in no yawn seed group. Difference in proportions (yawn. 2. Warm Up. How are these two groups alike? Different?. Group 1. Group 2. Ratio Flippable. Examples:. . 2 boys for every 3 girls. . 3 dollars for 5 pencils. Ratio. - A comparison of two or more things.. A comparison between two quantities . For every . x. units of one quantity, there are . y. units of another. A Ratio is…. Using a colon . Example:. . 2:3. As a fraction . Example: . Quiz 6A. . A comparison of two numbers by division. Ratio. . A comparison of two quantities that have different kinds of units. Rate. . A rate in which the second quantity is 1.. Unit Rate. . Ratios, Rates, Unit Rates, & Conversion Factors.