Who is Ivy Tech Community College? Enrollment by Age Group Academic Year 2021-2022 65 & Older 50-64 40-49 30-39 25-29 20-24 25596 19 & Younger 22006 0 5000 10000 15000 20000 25000 30000 1) Write a sentence that quantitatively compares two of the age groups in the chart. 2) Discuss how the information in the bar graph above compares with the composition of your classroom and region. Enrollment by Ethnicity ' Academic Year 2021-2022 Black or African American Hispanic or Latino 4% Other Ethnic Minority 7% Unknown/Not reported White, - ite, non 29 Hispanic 69% 3) Write a sentence that quantitatively compares two of the ethnicity categories. 4) Discuss how the information in the pie chart above compares with the composition of your classroom and region. 1. Guide to Quantitative Reasoning Problem Solving and Communication Working in groups of two or three, choose one of the estimation problems below or decide on another exercise. When solving a problem, it may be helpful to use Polya's 4 problem solving steps: e Understand the Problem: Can you state the problem in your own words? What are the unknowns? What assumptions are you making? e Make a Plan: Look for a pattern. Relate to previous problems. Break into smaller parts. Make a diagram or table. e Carry Out the Plan: Keep an accurate record of your work. Check each step. e Look Back: Does your answer make sense, is it reasonable? Are there other methods of finding a solution? Is your solution reproducible? If necessary, start the process over again. A) Estimate how many pennies it would take to cover one of the walls in your classroom. How much money would this be? Q B) How many books would it take to fill your classroom? C) How many pieces of fruit would it take to fill a bathtub? Answer the following questions: 1) What assumptions did you make? 2) How did you go about getting your estimate? 3) What value did you get for your estimate? 4) What difficulties did you encounter with this activity? 1. Guide to Quantitative Reasoning Place Value and Reading and Writing Numbers This chart shows the names of place values used most often in this course. Note that the place value names occur in groups of three. These groups are called periods, and we place commas in our numbers to help identify what period a set of numbers is in. billions millions | thousands hundred billions ten-thousandths @ = 2 =] D = = 5 = ten trillions ten billions ten millions ten thousands hundreds hundredths thousandths trillions To write or say a number in English, state the digit names in each period followed by the period name, except for the ones period, which is not stated. If the number has a decimal part, we use the word 'and' before stating the digits after the decimal, followed by the place value name the last digit is in. Example: 253,570,123.59 is written two hundred fifty-three million, five hundred seventy thousand, one hundred twenty-three and fifty-nine hundredths. 1) Write the name of 156,890,763,251.7 in words. Writing numbers out in word form can result in a lot of writing! Using a short word form that combines numbers and words can be convenient. Short word form is often used in books, on the internet, and in tables because it is easier to read and understand. Here are some examples. Standard Form Word Form Short Word Form 8,000,000 eight million 8 million 5,500,000,000 five billion five hundred million 5.5 billion 4,230,000 four million two hundred thirty thousand 4.23 million 4,230,000 four million two hundred thirty thousand 4,230 thousand It is important to be able to write short word numbers in standard form. Try these! Short Word Form Standard Form 469 million 16.5 trillion 0.5 billion 1. Guide to Quantitative Reasoning