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SkillsTutor Intermediate Mathematics Classroom Guide Table of Contents Getting Started ............................................................................................................................................ 1 Basic Skills Lessons ............................................................................................................................ 2 Quizzes ..................................................................................................................................................2 Thinking Skills Lessons ........................................................................................................................2 Tests ......................................................................................................................................................3 Worksheets ............................................................................................................................................3 Basic Skills Lesson Summaries .................................................................................................................. 5 Proportion and Percent ..........................................................................................................................7 Introduction to Algebra..........................................................................................................................8 Geometry................................................................................................................................................9 Statistics and Probability ....................................................................................................................10 Thinking Skills Lesson Summaries............................................................................................................11 About Thinking Skills..........................................................................................................................11 Lesson Content ....................................................................................................................................11 Lesson Summaries ..............................................................................................................................12 Thinking Skills Worksheets........................................................................................................................15 Assignment Sheet ...................................................................................................................................... 21 © 2004 Achievement Technologies, Inc. All rights reserved. All trademarks are the property of their respective owners. Getting Started This product is a comprehensive resource for diagnosing and remediating students’ basic Intermediate Mathematics skills. The SkillsTutor management system (OTS) provides several important features: • Tests students’ skills, providing both pretests and posttests to make initial assessments and gauge student progress • Makes assignments, based on students’ pretest results • Monitors student scores and completion of activities • Produces reports for individual students • Provides online documentation This guide outlines the content and activities of Intermediate Mathematics. Information on the management system (OTS) is provided under separate cover in the SkillsTutor User’s Guide. 6 1 6 Basic Skills Lessons Each lesson begins with one or more screens that review a concept. Lessons continue with a number of multiple-choice questions to reinforce the student’s understanding of the topic, as illustrated below. These instructions will help the student take full advantage of the features of SkillsTutor lessons: • Use the mouse to answer questions: click on the correct answer. • Click Hint for help in answering a question. • If a question is missed, the student will be told why the answer is wrong. The student should read the response carefully, and try again. The student cannot move to the next question until the current question is answered correctly, so reading and answering carefully will save time. • The student may review the instructional material at any time during the lesson by clicking Review. After going through the review screens, the student returns to the question that was being answered before the review. The student may return to the question before completing the review by clicking Resume. • There may be times when the student needs to exit the program before completing an activity. To end an activity, close the activity window. • When the student finishes answering all of the questions in an activity, a score is displayed. The score, expressed as a percent, is the number of questions answered correctly out of all the questions attempted. Quizzes Quizzes operate similarly to lessons. However, quizzes have no introductory instructional material, and they do not require you to answer each question correctly before moving to the next question. Detailed feedback is provided for all questions. Thinking Skills Lessons Each Thinking Skills lesson begins with a scenario or story that presents a problem to solve. This is the theme that is carried through the entire lesson, and the problem is solved as the lesson progresses. The opening scenario or story is followed by a discussion of the thinking skill needed to solve the problem. Step-by-step instructions and examples for using the thinking skill are provided on screen. The problem is solved through a series of questions which require the student to use the steps 6 2 6 involved in the thinking skill. Some of the questions have only one right answer. Other questions have more than one correct answer. For a question of this type, read carefully and select as many of the answers as seem appropriate. To select an answer, click the box next to it to place an X in the box. If a box is marked by mistake, click again to remove the X. Click the Hint button for help in answering a question. Click the Check button to see feedback for answers. At the conclusion of the lesson, a summary screen highlights the thinking skill that was used and the problem that was solved in the lesson. Then the score for the lesson is presented. The score is based on points accumulated, rather than the number of questions answered. Tests SkillsTutor offers content-area pretests and posttests modeled on standardized tests. Pretests and posttests have no introductory instructional material. Like the questions for quizzes, the test questions are presented in multiple-choice format to give students practice in answering standardized-test questions. After each test, students have the opportunity to review the questions they missed. Feedback is provided for each missed question. Worksheets SkillsTutor contains reproducible worksheets for each Thinking Skills lesson. The worksheets may be used to extend the computer activity or as a homework assignment. They are provided in this documentation and may be printed from the online version of the documentation, or photocopied from the printed version. 6 3 6 6 4 6 Basic Skills Lesson Summaries Intermediate Mathematics contains 52 lessons, 8 quizzes, and 8 tests in a hierarchical arrangement designed to continually reinforce the concepts presented. On the following pages, there is a description and example for each basic skills lesson. The lessons are arranged in the following content areas: • Proportion and Percent • Introduction to Algebra • Geometry • Statistics and Probability 6 5 6 6 6 6 Lesson # Lesson Title Lesson Description Example Intermediate Mathematics: Proportion and Percent 1 Relationship of Ratios, Percents, and Decimals Students express ratios, fractions, decimals, and percents in equivalent forms. 2 Ratio and Proportion Students identify whether or not two ratios form a proportion using the concepts of equal ratios and cross products. They also use these concepts to find missing numbers in proportions. 4 5 The ratio 4 to 5 = --- = 0.8 = 80%. 9 3 ------ 9 --12 4 (=,ú) What is the missing number in this proportion? 4 : y = 16 : 8 3 Using Proportions to Find Group Prices Students use proportions to solve money problems involving group prices. Sugar costs 40¢ for 2 pounds. How many pounds can you buy for $2.00? 4 Finding the Part by Using Proportions Students use the proportion N : 100 = part : whole to find the part in percent problems. What is 20% of 60? 5 Finding the Percent by Using Proportions Students use the proportion N : 100 = part : whole to find the percent in percent problems. 15 is what percent of 45? 6 Finding the Whole by Using Proportions Students use the proportion N : 100 = part : whole to find the whole in percent problems. 6% of what number is 48? 7 Finding the Part by Using Number Sentences Students use the equation N × whole = part to find the part in percent problems. Jesse gave 25% of his models away. If he had a total of 40 models to start, how many did he give away? 8 Finding the Percent by Using Number Sentences Students use the equation N × whole = part to find the percent in percent problems. Alisha started a camping trip with 24 sandwiches. She ate 6 on the first day. What percent of her sandwiches did she eat that day? 9 Finding the Whole by Using Number Sentences Students use the equation N × whole = part to find the whole in percent problems. Michael spent 60% of his allowance on junk food. If he spent $1.20, how much was his allowance? 10 Percent of Change Students calculate the percent of increase or decrease by dividing the amount of change by the original amount. If a movie cost $4.00 last year and $5.00 this year, what was the percent of increase? 11 Discounts Students learn the terms “original price,” “discount,” “rate of discount,” and “sale price.” They calculate amounts of discount and sale prices in various situations. During a sale, a used car that was regularly $6,000 was sold for 5% off. How much was the discount in dollars? What was the sale price of the car? 12 Simple Interest Students learn the meaning of “simple interest” and the terms “principal,” “rate,” and “time.” They calculate the amount of interest and total amount paid (or saved) in various situations. Asher borrowed $2,000.00 for 2 years at a rate of 8% per year. How much interest did he pay on the loan? SkillsTutor 2 – 21 Lesson # Lesson Title Lesson Description Example Intermediate Mathematics: Introduction to Algebra 1 Absolute Value Students read and identify the absolute values of numbers. They also practice simple computation with absolute values. |›14| = 14 |›3| + |‹5| = 8 2 Addition and Subtraction of Integers Students add and subtract integers with like and unlike signs. 4 + ›3 = 1 ›4 à ‹8 = ›12 3 Multiplication and Division of Integers Students multiply and divide integers with like and unlike signs. ›6 ä ›3 = 18 ›8 ã 2 = ›4 4 Exponents and Square Roots Students read and calculate the exponential values and square roots of numbers. There is special emphasis on 0, 1, and negative exponents. Only perfect squares are used under the square root symbol. 5• = 5 ä 5 ä 5 ä 5 = 625 ëØ¥ = 7 5 Scientific Notation Students learn that scientific notation allows them to express very large and very small numbers more simply. 4780 = 4.78 ä 10¬ 0.000065 = 6.5 ä 10ʃ 6 Operations with Exponents Students calculate the values of exponential expressions with terms having the same base. 7¢§ ä 7® = 7£° 8Ê™ ã 8Ê¢£ = 8§ 7 Simplifying Numerical Expressions Students calculate the values of numerical expressions by following the standard order of operations. 4 x (3 + 6) à 2£ = 4 ä (9) à 2£ = 4ä 9 à 4 = 36 à 4 = 32 8 Sequences Students learn various common patterns used in number sequences. They determine the rule that describes a number sequence in order to fill in missing numbers in the sequence. In the number sequence 1, 3, 5, 7, 9, 11, 13, ... the rule is to add 2 to get the next number. 9 Evaluating Variable Expressions Students evaluate variable expressions with one or two variables. First, they replace each variable with its given value. Then, they use the standard order of operations to find the value of the expression. If n = ›2, then î›2nï à î›4n£ï = ____. 10 Simplifying Variable Expressions Students simplify algebraic expressions that include addition, subtraction, multiplication, or division. They also learn to simplify algebraic expressions that involve a combination of operations. 3b + 2a + 6b =____ ›3y£ ã y 4 = ____ 4a + 2(2a + 4b + a) = ____ 11 One-Step Equations Students solve one-step equations by isolating variables using inverse operations. If a + 14 = 7, then a = _____. If 2m = ›8, then m = _____. 12 Two-Step Equations Students solve two-step equations. First, they isolate the term containing the variable. Then, they isolate the variable. If 3n + 5 = ›4, then n = _____. Students locate points on a coordinate plane using ordered pairs. They also use linear equations to describe lines. (Coordinate plane with a horizontal line drawn.) Which linear equation describes this line? 13 2 – 22 Graphing on the Coordinate Plane Basic Skills Lesson Summaries x 2 If 1 = --- à 3, then x = _____. Lesson # Lesson Title Lesson Description Example 14 Writing Equations from Words Students write algebraic expressions and equations from words. First, they choose a variable to represent the unknown number. Then, they translate the words of the problem into an algebraic expression or equation. Darryl is 6 years older than his little brother, Eric. Eric is 2 years old. Write an equation that could be used to find Darryl's age. 15 Distance-Rate-Time Problems Students learn to solve equations using the formula d = râ t to solve word problems that involve distance or flow, rate or speed, and time. Gasoline is leaking from a gas tank at the rate of 2 gallons per minute. How long will it take to lose 12 gallons? Intermediate Mathematics: Geometry 1 Units of Length Students use proportions to convert between English units of length and between metric units of length. How many millimeters are in 65 centimeters? (10 mm = 1 cm) 2 Units of Weight and Capacity Students use proportions to convert between English units of weight, between metric units of weight, between English units of capacity, and between metric units of capacity. How many pounds are in 56 ounces? (1 lb. = 16 oz.) 3 Time Zones Students are introduced to the concept of differences in time across time zones around the world. Some questions require calculation of elapsed time across time zones. (Map of North America w/cities highlighted & time zones noted.) When it is 2 p.m. in Baltimore, what time is it in San Diego? 4 Angles Students learn the terms “straight angle,” “right angle,” “acute angle,” and “obtuse angle.” They use their knowledge of straight angles, right angles, and the sum of the angles of a triangle to find the measure of missing angles. A right triangle has one angle that measures 40°. What is the measure of the third angle? 5 Lines and Angles Students identify types of angles including adjacent, vertical, and corresponding angles. They learn to find measures of missing angles in a drawing. (Diagram of parallel lines with a transversal.) If angle 1 measures 120°, then angle 5 measures ____. 6 Area of Polygons Students find the areas of parallelograms, triangles, and irregular shapes. (Diagram of an irregular shape with base and height labeled.) The local park has a large, rectangular flower bed with a square stone in the center. What is the area of just the flower bed? 7 Circumference of Circles Students learn that ‚ is the ratio of circumference to diameter. They use the formulas C = ‚âd and C = 2â‚âr to find the circumference of circles. (Diagram of a circle with a diameter of 3.5 yds.) What is the circumference? 8 Area of Circles Students find the areas of circles given the radius or the diameter of each circle. They also find the area of irregularly shaped figures. A circular rug has a radius of 3 meters. What is the area of this rug? 9 Surface Area Students use the areas of triangles, squares, rectangles, and circles to find the surface areas of three-dimensional figures. (Diagram of a cylinder with radius and height labeled.) Joni is wrapping a birthday gift. The box is a cylinder. What is the surface area that must be covered by wrapping paper? SkillsTutor 2 – 23 Lesson # Lesson Title 10 11 Lesson Description Example Volume of Prisms and Cylinders Students find the volume of triangular prisms, rectangular prisms, and cylinders by multiplying the area of the base by the height. (Graphic of a frozen orange juice can with a radius of 2 in. and height of 7 in.) What is the volume? Formulas in Geometry Students build upon the skills learned in Lesson 10 and use formulas to find the volume of pyramids, cones, and spheres. (Graphic of a rectangular pyramid with a base of 10 m 2 and a height of 7 m.) V = 1--- âAâh 3 What is the volume? 12 Pythagorean Theorem Students use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle, given the lengths of the legs. Students also find the missing length of a leg of a right triangle. (Diagram of a pond with dimensions on the legs.) Joe wants to find the length of this pond. He measures the legs of a right triangle on land. What is the length of the pond? Intermediate Mathematics: Statistics and Probability 2 – 24 1 Pictographs Students use the keys on pictographs to interpret and compare data. Part of the lesson is devoted to interpreting pictographs with partial symbols. (Pictograph of Candy Sold at the Ace Emporium.) How many fewer boxes of candy were sold in March than in February? 2 Bar Graphs Students learn to use bar graphs to compare data. Emphasis is on reading and interpreting bar graphs, including double and triple bar graphs. (Bar graph comparing wind speeds.) How much higher was the wind speed recorded at station U than station S? 3 Line Graphs Students learn that line graphs are used to show change or trends over time. Emphasis is on reading and interpreting line graphs, including double and triple line graphs. (Line graph showing Peaches Sold.) What is the least amount of peaches sold in a week? 4 Circle Graphs Students learn that circle graphs are used to show parts of a whole. Students interpret circle graphs showing fractional parts of the whole and percents of the whole. (Circle graph showing fund-raising efforts.) How much money did recycling raise? 5 Measures of Central Tendency Students find the mean (average), median (middle number), and mode (most frequent number) for a set of data. Identify the median. 43, 39, 81, 50, 62 6 Simple Probability Students learn that probability is a ratio of the number of favorable outcomes to the total number of possible outcomes. This ratio can be expressed as a fraction, decimal, or percent. There are 12 slips of paper in a bag, each one naming a different month of the year. What is the probability of picking “May” out of the bag? 7 Counting Outcomes Students read word problems involving 2 or 3 decisions. They learn to determine the total number of possible outcomes by finding all the possible combinations of the choices. You have 4 different colored t-shirts. You also have black shorts, blue shorts, and green shorts. How many combinations of shirts and shorts are possible? 8 Predicting Outcomes Students learn that by multiplying the probability of an event by the number of attempts, they can predict the number of favorable outcomes. If you flip a coin 50 times, about how many times can you expect the coin to land on “heads”? Basic Skills Lesson Summaries Thinking Skills Lesson Summaries About Thinking Skills To complement the efforts of teachers and programs focused on incorporating thinking skills (or skills labeled as “higher order thinking,” “critical thinking,” “creative thinking,” “reasoning,” or “problem-solving”), Intermediate Mathematics includes thinking skills lessons as an integral part of its instruction. Each Thinking Skills lesson provides students with direct instruction in a specific thinking skill. Several different thinking skills are addressed and are repeated across different content areas. The lessons instruct students in a step-by-step thinking process they can use each time they are faced with a problem that requires them to use that thinking skill. We have chosen to group the Intermediate Mathematics thinking skills in two broad categories: 1. Extending Knowledge Comparison 2. Drawing Conclusions Prediction Problem Solving Decision Making Lesson Content Each lesson begins by placing one of the thinking skills in the context of a problem or scenario that ties the lesson together. After instruction in the thinking skill, students answer questions related to the opening scenario that combine the targeted thinking skill as well as basic skills learned in previous lessons. By the end of each lesson, students have practiced basic skills content and a thinking skill while solving a “real life” problem. As you introduce your students to these lessons, you might find it helpful to point out the following features: 1. After the title screen, a problem or scenario is presented. This is the theme of the entire lesson and is solved as the lesson progresses. 2. The opening problem is followed by direct instruction in a specific thinking skill. A step-bystep process is presented to help students focus on the thinking skill that will be used to respond to the opening problem. If students wish to reread any part of the scenario or steps, they can return to these screens from any of the questions by selecting Review. 3. A set of questions walks the students through the steps of the thinking process introduced in the instruction. Through this sequence of questions, students apply their basic skills knowl6 11 6 edge to solve the opening problem. Unlike the rest of the SkillsTutor lessons, many of the questions in these lessons have more than one correct response to a multiple-choice question. Students should read carefully and mark as many of the boxes as seem appropriate to answer each question. 4. At the conclusion of the questions, a summary screen highlights again the thinking skill that was used and the problem that was solved in the lesson. Students then see their score for the lesson, based on points accumulated rather than just the number of questions answered. This scoring procedure tallies a point for each correct response given to a single question. Lesson Summaries On the following pages you will find a lesson summary and strategy or example for each of the Intermediate Mathematics Thinking Skills lessons. For teachers who want to focus on a particular thinking skill with one or more students, this chart makes it easy to locate related lessons. Group discussion is always encouraged as a means of improving metacognition, or getting students to think about their thinking processes. You will find a reproducible worksheet for each Thinking Skills lesson. The worksheet may be used by students at the completion of the computer lesson or as a homework assignment. Each worksheet concludes with a “Write Idea” which is a suggested writing activity that should help students think through the process learned in the lesson and apply it to a new situation. Answer keys are not provided for the worksheets since many of the activities are open-ended and do not lend themselves to single “correct” answers. Encourage students to verbalize the thinking processes they use on these worksheet questions. You might also have students discuss their worksheet answers in small groups and correct each other’s papers. 6 12 6 6 13 6 6 14 6 Name: Date: Proportion and Percent: Thinking Skills Lesson 2 Student Activity Comparison: Movie House Management STEPS: 1. 2. 3. 4. Identify the items you are comparing. List features of the items you are comparing. Decide how items are similar or different for each feature. Summarize what you have learned. Here is the problem that appeared in the lesson: In the lesson, you considered opening a movie theater. Your problem was not knowing what to charge for tickets. You compared profits for three different ticket prices. Directions: Now try a price of $7 per ticket and assume only 50 people come at that price. For this new price, compute the same features: INCOME = TICKET PRICE x NUMBER in CROWD COSTS = 20% of INCOME + $150 PROFIT = INCOME – COSTS PROFIT RATIO = PROFIT ÷ INCOME Then compare the results with this table from the lesson: Tickets Crowd Income Costs Profit Profit Ratio Option A $ 3.00 90 $270.00 $204.00 $ 66.00 24.4% Option B $ 4.50 75 $337.50 $217.50 $120.00 35.6% Option C $ 5.00 60 $300.00 $210.00 $ 90.00 30% In the lesson, you concluded that $4.50 was the best ticket price to use. Do you still agree with this conclusion? What other situations would you test if you were really going to open the movie house? Write Idea: Social scientists study information about people. They use comparison to examine similar information about different population groups such as recent immigrants. They might study population size, education levels, or life expectancy. In this way, they can see what needs improvement. Write about something you think needs improvement. What kind of information would you need to compare to prove your case? Portions of this product are based on materials copyrighted by Mattel, Inc. Proportion and Percent Lessons 1-12 Name: Date: Introduction to Algebra: Thinking Skills Lesson 1 Student Activity Prediction: Number Sequence Puzzles STEPS: 1. 2. 3. 4. 5. Identify the facts that you know. Look for patterns in the information. Make a general statement that explains the patterns you have observed. Based on your conclusions, predict the next event (or number). Make more observations to see if you have predicted correctly. In the lesson, you explained the patterns for and predicted numbers in these sequences: Sequence: Pattern: 0, 1, 1, 2, 3, 5, ... Each number is the sum of the previous two numbers. Sequence: Pattern: -15°C, -11°C, -7°C, -3°C, +1°C, +5°C, +9°C, ... The temperature gets 4° warmer every two hours. Sequence: Pattern: 2, 4, 8, 16, 32, 64, ... t = 2n Sequence: Pattern: 0.000025, 0.0025, 0.25, 25.00, ... Each new number is the previous number multiplied by 102. Directions: Now apply your prediction skills to this number sequencing problem. Your friend is saving for a new radio. It costs $36.50. She started with a quarter. Now she saves the same amount from her allowance each week. Here is how the savings account is growing: Week Amount 1 2 3 4 $0.25 $1.50 $2.75 $4.00 Predict how many weeks it will take to reach the goal of $36.50. Write Idea: Scientists use the prediction process to warn people about natural disasters. Imagine this situation. A river is 72 inches deep. Rain is causing the river to rise at a rate of two inches per hour. The river will flood at 96 inches. Write a paragraph about how scientists could use the prediction process and number sequences to predict how many hours of rain will cause the river to flood. Portions of this product are based on materials copyrighted by Mattel, Inc. Introduction to Algebra Lessons 1-8 Name: Date: Introduction to Algebra: Thinking Skills Lesson 2 Student Activity Decision Making: Buying a House STEPS: 1. 2. 3. 4. 5. Identify the decision you need to make. List all the choices available to you. Identify the important information that you must consider when making your decision. Determine the outcome of each choice. Evaluate your choices and summarize what you have learned. Then make your decision. Here is the problem that appeared in the lesson: You have a very important decision to make. You would like to buy a house. You want the tax deduction that a house provides. You would also enjoy remodeling and decorating your own place. You know that buying a house is not something to rush into. There are many facts to consider when making this decision. • The price of one house you like is $70,000. • The price of another house you like is $95,000. • Your income is $24,000 a year. You have to decide if you can buy one of these houses. Directions: You have just gotten a big promotion at work. Your salary was raised to $30,000 a year. You determine that the monthly payment for the $95,000 house is $771.28 including property taxes. Remember, the bank will lend you the money if 30% of your monthly income is greater than or equal to your monthly payment. Write an equation that will determine whether your monthly salary is greater than or equal to the payment for the $95,000 house. Will the bank lend you the money for the more expensive house? Write Idea: Determing whether or not to buy a house is one of the most important decisions a person can make. Think of another important decision that does not involve buying something, maybe taking one class versus another, or choosing one job over the other. After stating the decision, list the possible choices, the outcome of each choice, and then summarize what you’ve learned. Portions of this product are based on materials copyrighted by Mattel, Inc. Introduction to Algebra Lessons 9-15 Name: Date: Geometry: Thinking Skills Lesson 2 Student Activity Problem Solving: Building a Sandbox STEPS: 1. 2. 3. 4. 5. Identify your goal. Identify limiting conditions. Identify ways to meet the limiting conditions. Identify and try possible solutions. Evaluate your possible solutions. Here is the problem that appeared in the lesson: Your neighborhood has collected $200 to build a sandbox for the playground. You are in charge of the project. The land available for the sandbox is 8 feet by 5 feet with a tree in the corner. You want to make the sandbox as large as possible, but you have a limited amount of space available. The tree cannot be inside the sandbox. Volunteers will build the sandbox, but they can only build simple 90º corners. Since you are in charge of the project, it’s up to you to solve these problems and produce a sandbox. Directions: You solved the sandbox problem. Now the committee has asked you to research adding a circular sand pit around the sliding board. The major limiting condition is the space allowed for the sliding board and sand pit, so you must find the area of the circle. Use these dimensions to find the area of the circular sand pit: • The sliding board ladder is 6 feet tall. • The sliding board is 10 feet long. • The ladder forms a 90º angle with the ground. • The sand should extend 3 feet beyond the end of the sliding board and 3 feet beyond the ladder. Hint: First, use the Pythagorean Theorem to find the length between the sliding board and the ladder. Then, add 3 feet on each side to find the diameter of the circle. Write Idea: Another problem that has come up in relation to the playground is children getting hurt while playing. Describe a possible solution to this problem? Are there limiting conditions to your solution? If so, how would you meet those limiting conditions? Portions of this product are based on materials copyrighted by Mattel, Inc. Geometry Lessons 6-12 Name: Date: Statistics and Probability: Thinking Skills Lesson 2 Student Activity Prediction: The Real Cost of Living STEPS: 1. 2. 3. 4. 5. Identify the facts that you know. Look for patterns in the information. Make a general statement that explains the patterns you have observed. Based on your conclusions, predict what might happen in a new situation. Make more observations to see if you predicted correctly. In the lesson, you used the prediction process to complete this table: Savings Expenses Income 5 years ago $47 $781 $785 Present $50 $890 $892 % of change 6% 14% 13.6% Change/ year 1.2% 2.8% 2.7% You predicted that your salary needed to increase 3% a year for you to meet expenses and increase your savings. Directions: Now apply your prediction skills to this problem. You are in charge of fund raising at your local high school. This graph shows the results of fund-raising efforts at the school for each of the past five years. 1. Identify the mean, median, and mode of the fund-raising dollars for the past five years. 2. You want to set a goal for year 6 that is based on a reasonable prediction. If the upward trend from years 3-5 continues, what is your prediction for dollars to be raised in year 6? Describe your procedure for arriving at this prediction. Write Idea: Air pollution is increasing. Scientists know that if it continues to increase at high rates, our air will become toxic. Science has the numbers it needs. What is needed is a plan for predicting. Write a plan for scientists to predict how many years it will take our air to become toxic. Remember the steps of the prediction process. Portions of this product are based on materials copyrighted by Mattel, Inc. Statistics and Probability Lessons 1-8 6 20 6 Assignment Sheet This appendix contains an assignment sheet for all the activities in Intermediate Mathematics. The assignment sheet lists the available lessons and tests. The SkillsTutor management system will track the lessons and tests your students complete. However, it may be helpful to photocopy an assignment sheet to help you plan lesson assignments or to help your students keep track of the lessons and tests they complete. 6 21 6 6 22 6 Assignment Sheets: Intermediate Mathematics Series Activity Date Assigned Proportion and Percent • Pretest on Proportion and Percent 1 Relationship of Ratios, Percents, and Decimals 2 Ratios and Proportion 3 Using Proportions to Find Group Prices 4 Finding the Part by Using Proportions 5 Finding the Percent by Using Proportions 6 Finding the Whole by Using Proportions Q1 Quiz on Lessons 1 through 6 7 Finding the Part by Using Number Sequences 8 Finding the Percent by Using Number Sentences 9 Finding the Whole by Using Number Sentences 10 Percent of Change 11 Discounts 12 Simple Interest Q2 Quiz on Lessons 7 through 12 TS Comparison: Movie House Management • Posttest on Proportion and Percent Date Completed Score/Progress Assignment Sheets: Intermediate Mathematics Series Activity Date Assigned Introduction to Algebra • Pretest on Introduction to Algebra 1 Absolute Value 2 Addition and Subtraction of Integers 3 Multiplication and Division of Integers 4 Exponents and Square Roots 5 Scientific Notation 6 Operations with Exponents 7 Simplifying Numerical Expressions 8 Sequences Q1 Quiz on Lessons 1 through 8 TS Prediction: Number Sequence Puzzles 9 Evaluating Variable Expressions 10 Simplifying Variable Expressions 11 One-Step Equations 12 Two-Step Equations 13 Graphing on the Coordinate Plane 14 Writing Equations from Words 15 Distance-Rate-Time Problems Q2 Quiz on Lessons 9 through 15 TS Decision Making: Buying a House • Posttest on Introduction to Algebra Date Completed Score/Progress Assignment Sheets: Intermediate Mathematics Series Activity Date Assigned Geometry • Pretest on Geometry 1 Units of Length 2 Units of Weight and Capacity 3 Time Zones 4 Angles 5 Lines and Angles Q1 Quiz on Lessons 1 through 5 6 Area of Polygons 7 Circumference of Circles 8 Area of Circles 9 Surface Area 10 Volume of Prisms and Cylinders 11 Formulas in Geometry 12 Pythagorean Theorem Q2 Quiz on Lessons 6 through 12 TS Problem Solving: Building a Sandbox • Posttest on Geometry Statistics and Probability • Pretest on Statistics and Probability 1 Pictographs 2 Bar Graphs 3 Line Graphs 4 Circle Graphs 5 Measures of Central Tendency Q1 Quiz on Lessons 1 through 5 6 Simple Probability 7 Counting Outcomes 8 Predicting Outcomes Q2 Quiz on Lessons 6 through 8 TS Prediction: The Real Cost of Living • Posttest on Statistics and Probability Date Completed Score/Progress