Arithmetic I. Activity Collection Sample file. Featuring real-world contexts: by Frank C. Wilson

Transcription

1 Arithmetic I by Frank C. Wilson Activity Collection Featuring real-world contexts: Australia by the Numbers Borrowing Money Caring for Pets Coins in the United States Country Populations Fruit Snacks Sharing Snacks Sharing Snacks #2 South Africa by the Numbers Website Visitors

2 2009 by Make It Real Learning Company With the purchase of this workbook, license is granted for one (1) teacher to copy the activities in this workbook for use in classes and professional development workshops. Copying pages in this workbook for any other use is prohibited without written consent from Make It Real Learning Company. For permissions, visit and complete the Contact Us form.

3 Table of Contents Introduction... 4 Activity Objectives... 5 Australia by the Numbers: Working with Number and Place Value... 6 Solutions... 8 Borrowing Money: Working with Negative Integers Solutions Caring for Pets: Estimating by Rounding Solutions Coins in the United States: Working with Money Solutions Country Populations: Using Bar Graphs Solutions Fruit Snacks: Working with Averages Solutions Sharing Snacks: Dividing Whole Numbers Solutions Sharing Snacks #2: Dividing Whole Numbers Solutions South Africa by the Numbers: Working with Number and Place Value Solutions Website Visitors: Using Bar Graphs Solutions About the Author Other Books in the Make It Real Learning Series... 46

4 Introduction When am I ever going to use this? It is a question that has plagued teachers and learners for decades. Now, with the help of the Make It Real Learning workbook series, you can answer the question. The Arithmetic I workbook focuses on real-world situations that may be effectively analyzed using arithmetic concepts such as addition, subtraction, estimation, division, bar graphs, etc. From figuring out how to determine the difference between the populations of two countries to analyzing the number of visitors to a website, learners get to use arithmetic in meaningful ways. Rest assured that each activity integrates real world information not just realistic data. These are real companies and countries (e.g. Webkinz, Australia, South Africa) and real world issues. The mathematical objectives of each activity are clearly specified on the Activity Objectives page following this introduction. Through the workbook series, we have consistently sought to address the content and process standards of the National Council of Teachers of Mathematics. There are multiple ways to use the activities in a teaching environment. Many teachers find that the activities are an excellent tool for stimulating mathematical discussions in a small group setting. Due to the challenging nature of each activity, group members are motivated to brainstorm problem solving strategies together. The interesting real world contexts motivate them to want to solve the problems. The activities may also be used for individual projects and class-wide discussions. As a ready-resource for teachers, the workbook also includes completely worked out solutions for each activity. To make it easier for teachers to assess student work, the solutions are included on a duplicate copy of each activity. We hope you enjoy the activities! We continue to increase the number of workbooks in the Make It Real Learning workbook series. Please visit for the most current list of activities. Thanks! Frank C. Wilson Author 4

5 Arithmetic I Activity Objectives Activity Title Australia by the Numbers: Working with Number and Place Value (p. 6) Borrowing Money: Working with Negative Integers (p. 10) Caring for Pets: Estimating by Rounding (p. 14) Coins in the United States: Working with Money (p. 18) Country Populations: Using Bar Graphs (p. 22) Fruit Snacks: Working with Averages (p. 26) Sharing Snacks: Dividing Whole Numbers (p. 30) Sharing Snacks #2: Dividing Whole Numbers (p. 34) South Africa by the Numbers: Working with Number and Place Value (p. 38) Website Visitors: Using Bar Graphs (p. 42) Mathematical Objectives Convert numbers in words into numbers in digits and vice versa Identify the place value of a given digit Round numbers Add and subtract positive and negative integers Interpret the practical meaning of sums and differences of integers Round numbers Estimate the difference of two numbers Estimate the product of two numbers Add whole numbers Convert dollars to cents Determine which of two sums has greater value Read data values from a bar graph Round numbers to the nearest integer Calculate the difference between two whole numbers Calculate the sum of two whole numbers Find the average of a set of numbers Predict unknown results based on averages Divide a given number of items equally between a given number of groups Use long division to divide one integer by another Interpret the practical meaning of a fraction Use long division to divide one integer by another Interpret the practical meaning of a fraction Factor an integer into its prime factors Convert a percent into a fraction Determine the practical meaning of quotients and remainders Convert numbers in words into numbers in digits Convert numbers in digits into numbers in words Identify the place value of a given digit Round numbers Find the difference of two whole numbers Read data values from a bar graph Round numbers to the nearest integer Calculate the sum and difference of two whole numbers

6 Australia by the Numbers Working with Numbers and Place Value Australia is the sixth largest country in geographical size. It is an island continent in the southern hemisphere. The capital of Australia is Canberra. (Facts in this worksheet come from and 1. As of July 2007, the population of Australia was estimated to be twenty one million people. Write that number. 21,000, Australia contains 7,682,300 square kilometers of land. What number is in the hundred thousands place? 6 3. The coastline of Australia is 36,735 kilometers long. Round this number to the nearest thousand. 37, The distance from the north end of Australia to the south end is approximately three thousand two hundred kilometers. Write that number European settlers came to Australia in Write this number in words. One thousand seven hundred eighty eight 6. The population of the city of Cabrerra is 320,000. What number is in the ten thousands place? 7. Although other people were already living in Australia, Captain James Cook is believed to be the first European to discover Australia. He made is discovery in Write this number in words. 2 One thousand seven hundred seventy 6

7 8. Europeans originally shipped prisoners to Australia but stopped doing so in Round this number to the nearest ten Australia produces many different things including water heaters. In May 2008, Australia made 48,613 water heaters (Source: Write this number in words. Forty eight thousand six hundred thirteen 10. In June 2008, Australia made 55,345 water heaters. Round this number to the nearest hundred. 55, There were 531,600 short-term visitors who came to Australia in July What number is in the hundred thousands place? 12. There were 483,500 short-term visitors who left Australia in July Write this number in words. 5 Four hundred eighty three thousand five hundred 13. Rounded to the nearest thousand, how many more short-term visitors came than short-term visitors who left Australia in July 2008? 531, ,500 48,100 Rounded to the nearest thousand, 48,000 more short-term visitors came than short-term visitors who left in July The population of Australia is expected to increase to at least 30,900,000 people by Rounded to the nearest million, what is the projected population of Australia? 7

8 Australia by the Numbers Working with Numbers and Place Value Australia is the sixth largest country in geographical size. It is an island continent in the southern hemisphere. The capital of Australia is Canberra. (Facts in this worksheet come from and 1. As of July 2007, the population of Australia was estimated to be twenty one million people. Write that number. 21,000, Australia contains 7,682,300 square kilometers of land. What number is in the hundred thousands place? 6 3. The coastline of Australia is 36,735 kilometers long. Round this number to the nearest thousand. 37, The distance from the north end of Australia to the south end is approximately three thousand two hundred kilometers. Write that number European settlers came to Australia in Write this number in words. One thousand seven hundred eighty eight 6. The population of the city of Cabrerra is 320,000. What number is in the ten thousands place? 7. Although other people were already living in Australia, Captain James Cook is believed to be the first European to discover Australia. He made is discovery in Write this number in words. 2 One thousand seven hundred seventy 8

9 8. Europeans originally shipped prisoners to Australia but stopped doing so in Round this number to the nearest ten Australia produces many different things including water heaters. In May 2008, Australia made 48,613 water heaters (Source: Write this number in words. Forty eight thousand six hundred thirteen 10. In June 2008, Australia made 55,345 water heaters. Round this number to the nearest hundred. 55, There were 531,600 short-term visitors who came to Australia in July What number is in the hundred thousands place? 12. There were 483,500 short-term visitors who left Australia in July Write this number in words. 5 Four hundred eighty three thousand five hundred 13. Rounded to the nearest thousand, how many more short-term visitors came than short-term visitors who left Australia in July 2008? 531, ,500 48,100 Rounded to the nearest thousand, 48,000 more short-term visitors came than short-term visitors who left in July The population of Australia is expected to increase to at least 30,900,000 people by Rounded to the nearest million, what is the projected population of Australia? 31,000,000 9