Problem Solving: Translating Percent Problems 1. 75% % % % % % 0.85
|
|
- Eugene Augustine Norris
- 5 years ago
- Views:
Transcription
1 Problem Solving: Lesson Planner Skills Maintenance Variables and Proportions Problem Solving: In this lesson, students learn about different situations where percents are used. They learn to use a percent formula to find discounts, tips, interest, and sales tax. Objectives Students will translate percent problems from word statements to formulas. Students will solve percent problems. Homework Students convert percents to decimal numbers, select the correct answer to percent problems, and solve percent word problems by using a formula. In Distributed Practice, students practice operations with decimal numbers and fractions. Lesson 12 Skills Maintenance Name Skills Maintenance Variables and Proportions Activity 1 Convert the percents to decimal numbers % % % % % % 0.85 Activity 2 For each group of shapes, select the two that are similar. 1. Which shapes are similar? (a) A and B (b) A and C (c) B and C 2. Which shapes are similar? (a) A and B (b) A and C (c) B and C 3. Which shapes are similar? (a) A and B (b) A and C (c) B and C A A A B B Date B C C C Unit 2 Unit 2 Lesson Skills Maintenance Variables and Proportions (Interactive Text, page 81) Activity 1 Students convert the percents to decimal numbers. Activity 2 Students identify similar shapes. Remind students that similar shapes have proportional dimensions. Unit 2 Lesson
2 Lesson 12 Problem Solving: Problem Solving: How do we write percent problems using variables? (Student Text, pages ) Connect to Prior Knowledge Tell students they have seen many examples of everyday problems involving percents and variables. For example, when a store has a sale, items are advertised as a certain percent off. Ten percent, 15 percent, and 20 percent are all common discounts. If there is enough time, distribute ads from the newspaper and have students search for discounts that are represented as percents. Have students convert the percents to decimal numbers. Explain that we convert to decimal numbers to make the problems easier to solve on a calculator or in our heads. 202 Problem Solving: How do we write percent problems using variables? In everyday life, we often find problems that require us to work with percents. Variables can help us solve percent problems. A common type of problem with percents is the discount problem. Before we even know the problem, we can set up a general statement for discount problems. First, we choose variables. d = the amount of the discount c = the original cost of the item p = percent of the discount A discount amount is computed by multiplying the original cost by the percent of the discount. d = c p Let s look at a problem. Problem: James went shopping for a television. The original cost was $400, but it was on sale for 25% off. What is the amount of the discount on the television? We substitute the variables with the price and percent to determine the discount. d = c p d = % 202 Unit 2 Lesson 12 Link to Today s Concept Tell students that in today s lesson, we look at writing our own percent problems with variables. Engagement Strategy: Teacher Modeling how we set up a percent problem involving discounts in one of these ways: : Use the mbook Teacher Edition for Student Text, pages Overhead Projector: Reproduce the variables and formula on a transparency, and modify as discussed. Board: Copy the variables and formula on the board, and modify as discussed. Explain that we first choose variables. Write the variables d, c, and p and explain what each variable represents. Make sure students understand that we can use any letter variable we want. Remind students that we find a discount by multiplying the original cost by the percentage of the discount. Write the equation d = c p. Show the word problem, and explain that we can use the formula to solve it. Show how we substitute the values of the variables with the information we know: the original cost, $400, and the percent of discount, 25 percent. So d = %. 296 Unit 2 Lesson 12
3 Continue going over the formula. Explain that we convert 25 percent to So d = After multiplying, we find that d = 100. Remind students that the variable d represents the amount of the discount. Point out that a discount is not the same thing as the sales price. To find the sales price, we subtract the discount from the original price. This is why it is important to pay careful attention to what each problem is asking for. Then have students look at Example 1. This example demonstrates another discount problem, but this time the item is 10 percent off. Point out that the problem is asking for the discount, not the sales price. Students should notice that the p is replaced with 0.10 since p stands for percent off. We also replace the c with 50 for the cost of the item. The discount is $5. Explain Point out that other types of percent problems are used in everyday life. For example, people often use a formula to compute the tip at a restaurant. It is common to leave a 15 percent tip for a meal. In order to work with the percent, we have to change it into a decimal number. So our problem is: d = d = 100 The amount of the discount on the television is $100. We can use the general statement d = c p as a formula for discounts. But we do need to be careful to adjust the formula for the problem we are trying to solve. For instance, the discount may be a different percent. In addition, the cost changes from problem to problem. We need to make sure we understand what the problem is asking. Example 1 Compute the discount on a $50 sweater that is 10% off. First, we remember our discount formula. d = c p Next, we substitute the variables with the cost of the item and percent of discount. Remember, we change 10% to 0.10 to make the computation easier. d = c p d = d = 5 The discount amount is $5. Discount problems are just one type of percent problem. Another common percent problem that is used in everyday life involves figuring out the tip for a meal at a restaurant. A common tip is 15%, or 0.15, of the total bill for the meal. Since the percent is the same for most tips, this is a good use of a formula. We only need to adjust the cost of the meal each time. Unit 2 Lesson If students are not sure about the answer, prompt them to look about at other students solutions to help with their thinking. Review the answers after all students have held up their solutions. 203 Check for Understanding Engagement Strategy: Look About Tell students that an $80 shirt is on sale for 20 percent off. Tell them that they find the amount of the discount with the help of the whole class ($16). Tell them to use the discount formula from Example 1. Students should write their solutions in large writing on a piece of paper or a dry erase board. When students finish their work, they should hold up their answer for everyone to see. Unit 2 Lesson
4 Lesson 12 How do we write percent problems using variables? (continued) Have students look at Example 2 on page 204 of the Student Text. This example shows a formula for finding a 15 percent tip. Explain that we can use whatever variables we like to write the formula. This example uses t for tip, c for the cost of the meal, and p for the percentage of the meal we want to tip. Point out that there are many strategies people use to figure the tip, but all of them are basically the same formula: t = c p. Show students how we substitute the values for the variables and compute the amount of the tip, $7.50. Example 2 shows how to figure a 15% tip on a meal that costs $ Example 2 Compute a 15% tip for a $49.99 meal. First, we choose variables. t = amount of tip c = cost of the meal p = percent of the meal that we want to tip We multiply the cost of the meal by the percent that we want to tip to find the amount of our tip. t = c p Then, we substitute the values we know for the variables. Remember, we convert the 15% to 0.15 to make the computation easier. t = c p t = When calculating a tip, we do not need to find an exact amount. The computation is easier if we use rounding. We round $49.99 to $50. t = t = $7.50 The tip should be about $7.50. Another type of percent problem is the interest problem. This is very much like the discount problem. We have different amounts of money that we are computing interest for, as well as different percents of interest. Check for Understanding Engagement Strategy: Pair/Share Have students partner with another student. Distribute a menu from a restaurant and ask pairs to imagine they are out for a meal. Ask them to select the items they would eat. Tell them to total the cost of the meal, then compute the tip. Remind students that a tip is generally 15 percent of the total bill. Have pairs volunteer to explain their work Unit 2 Lesson 12 In return, the bank pays us a percentage, or interest, for letting it use our money. Distribute a bank brochure that explains the interest earned on various accounts or interest charges on various loans. We will focus on simple interest, but it is okay to discuss other types of interest. Reinforce Understanding If students need further practice in calculating tips, have them find the amount of a 10 percent and 20 percent tip for the total cost of the meals they selected. Explain Point out that another percentage problem used in everyday life has to do with interest. When we borrow money from the bank, it charges us a certain percentage, or interest, for using it. Likewise, when we put money in a savings account, it is like lending the money to the bank. 298 Unit 2 Lesson 12
5 Direct students attention to Example 3 on page 205 of the Student Text. This example shows how to compute simple interest at a rate of 5 percent on a balance of $1,000. Show how we choose the variables. Then point out the formula. The interest rate is 5 percent, so we convert it to Explain that if the interest rate is two percent, for instance, we would substitute 0.02 for 0.05 in the formula. Point out how we substitute the values for the variables and solve to find the amount of interest earned, $50. Begin to explore the final type of percent problem in this lesson: sales tax. Explain that most states charge a tax on things we buy. This is one way the state earns money for expenses and services it provides. If there s time, look up the current tax rates for various states in the U.S. and distribute that information to students. Have students look over the various rates and rewrite the percents as decimal numbers. Example 3 shows a simple interest of 5% earned on $1,000 in the bank. Example 3 Compute the interest earned on $1,000 when the interest rate is 5%. First, we choose variables. i = amount of interest r = interest rate a = account balance Then we set up the general statement or formula. i = r a We convert 5% to 0.05 and substitute our values for the variables. i = r a i =0.05 $1,000 i =$50 The interest earned on $1,000 at a rate of 5% is $50. The final type of percent problem we will look at in this lesson is the computation of sales tax. We know that there is tax on items we buy at the store. Sales tax varies from state to state, usually somewhere between 5% and 8%. Example 4 shows the amount of tax charged on a $150 purchase if we are shopping in a state with a 6% sales tax. 205 Unit 2 Lesson Unit 2 Lesson
6 Lesson 12 How do we write percent problems using variables? (continued) Have students look at Example 4 on page 206 of the Student Text. It demonstrates the amount of tax paid on a $150 purchase if the tax rate is 6 percent. Point out the variables in the problem. Explain what you would do if the tax rate was a different percent. Show students how we set up the formula t = p c and substitute the values for the variables. Multiply to solve the problem. The tax is $9. Example 4 Compute the sales tax on $150 when the sales tax is 6%. First, we choose variables. t = tax p = percent charged for tax c = cost of the purchase Then we set up the general statement or formula. t = p c Now we substitute the values in the formula. t = p c t = t = $9 The tax is $9 on the $150 purchase. Writing a formula using variables to represent the unknowns in the problem helps us organize our thinking Unit 2 Lesson 12 Problem-Solving Activity Turn to Interactive Text, page 82. Reinforce Understanding Use the mbook Study Guide to review lesson concepts. 300 Unit 2 Lesson 12
7 Problem-Solving Activity Name Date Problem-Solving Activity (Interactive Text, pages 82 83) Have students turn to Interactive Text, pages 82 83, and complete the activities. First students solve percent problems. They must convert each percent to a decimal number, and then substitute values for variables. The formulas are written for the students. Students will have an opportunity to solve at least one interest, tax, tip, and discount problem. Then students solve word problems involving percents. They write the formulas themselves, select the variables, and then solve the formulas by substituting in values from the problem. Monitor students work as they complete the activities. Problem-Solving Activity Solve the percent problems by substituting the value for the variables. You may use a calculator. 1. What is the discount on a $500 TV that is 15% off? Answer $75 D = discount, p = percent off, c = cost D = p c $75 = 0.15 $ What is the tax on a $300 item at a tax rate of 7%? Answer $21 T = tax amount, r = tax rate, c = cost T = r c $21 = 0.07 $ What is a 15% tip on a $100 meal at a restaurant? Answer $15 T = tip, r = percent, c = cost of meal T = r c $15 = 0.15 $ How much interest will you earn on $1,500 at 2%? Answer $30 I = interest, r = rate, a = account balance T = r c $30 = 0.02 $1, What is the discount on a $250 item at 20% off? Answer $50 D = discount, p = percent off, c = cost D = p c $50 = 0.20 $ How much tax will you pay for a $75 item at a 6% rate. Answer $4.50 T = tax, r = tax rate, c = cost T = r c $4.50 = 0.06 $75 Less 82 Unit 2 Lesson 12 Watch for: Do students know which numbers to substitute for which variables? Can students convert each percent to a decimal number? Lesson 12 Problem-Solving Activity Name Problem-Solving Activity Date Can students perform the computation accurately? You may allow calculators for the second activity. Do students have a clear understanding of what the answer represents? (For example, in a discount, it s the amount of the discount. You would subtract it from the original cost to get the sales price.) Can students write the correct formula for each type of percent problem? Solve the percent problems. Remember to convert the percent to a decimal number before you multiply. You may use a calculator. 1. Everything in a department store is on sale for 10% off. Write an equation to describe the discount on a $500 digital camera. $ = $50 2. Roseanne has a coupon for 5% off her monthly phone bill. Write an equation to describe the discount on her $175 bill. $ = $ The teacher promised the class bonus points for the semester. She would give each student a bonus of 10% of the total homework points for the semester. Write an equation that describes how many bonus points Bonnie will get if she earned 150 homework points during the semester = The New Jax Band is donating 1% of all ticket sales from a concert tour to charity. Write an equation that describes how much they will donate to the charity if they sell $1,500 in tickets. $1, = $15 Unit 2 Reinforce Understanding Remind students that they can review lesson concepts by accessing the online mbook Study Guide. Reinforce Understanding Use the mbook Study Guide to review lesson concepts. Unit 2 Lesson Unit 2 Lesson
8 Lesson 12 Homework Homework Go over the instructions on page 207 of the Student Text for each part of the homework. Activity 1 Students convert percents to decimal numbers. Activity 2 Students select the correct answer to percent problems. These are multiple choice questions. Activity 3 Students solve percent word problems by writing formulas and solving them. Activity 4 Distributed Practice Students practice operations with decimal numbers and fractions to continue to improve their skills. Activity 1 Convert the following percents to decimal numbers % % % % % 0.1 Activity 2 Select the correct answer for each of the percent problems. 1. What is the discount on a $200 item that is 15% off? b (a) $3 (b) $30 (c) $ What tip would you pay on a $60 meal at a 15% tip rate? a (a) $9 (b) $90 (c) $69 2. What is the tax on a $500 item at a 6% tax rate? b (a) $3 (b) $30 (c) $ How much interest will you earn at 2% on $1,000? a (a) $20 (b) $200 (c) $800 Activity 3 Solve the word problems involving percents. 1. What is the discount on a $100 item that is 10% off? $10 2. What is the discount on a $200 item that is 10% off? $20 3. How much would a 15% tip be on a $150 meal? $ How much interest will you earn on $500 at 1%? $5 5. How much interest will you earn on $1,000 at 2%? $20 6. What is the tax on a $375 item at a 5% tax rate? $18.75 Activity 4 Distributed Practice Solve Unit 2 Lesson Unit 2 Lesson 12
Lesson Planner. Lesson 10. Skills Maintenance. Multiplying Fractions by a Fraction Equal to 1. Skills Maintenance. Homework
Lesson 0 Multiplying Fractions by a Fraction Equal to : Quiz Lesson 0 Skills Maintenance Lesson Planner Skills Maintenance Multiplication Facts Building Number Concepts: Multiplying Fractions by a Fraction
More informationMathematical Practices: #1 Make sense of problems and persevere in solving them #4 Model with mathematics #6 Attend to precision
Grade: 7 th - Course 2 Detail Lesson Plan Lesson: 7.1.2 Replacement Lesson How can I make it smaller or bigger? Scaling Quantities CC Standards: 7.RP.3 Use proportional relationships to solve multistep
More informationUILD YOUR VOCABULARY. 116 Math Connects, Course 3
C H A P T E R 5 UILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 5. As you complete the study notes for the chapter, you will see Build Your Vocabulary
More informationProblem Solving: Percents
Problem Solving: Percents LAUNCH (7 MIN) Before Why do the friends need to know if they have enough money? During What should you use as the whole when you find the tip? After How can you find the total
More informationUNIT 11 PERCENTS. Learning Objective Media Examples You Try Identify the usefulness of percents in context 1
UNIT 11 PERCENTS INTRODUCTION In this Unit, we will learn about percents and their applications. Percents are a special type of multiplicative relationship and we ll connect the ideas of percent to our
More informationPERCENTS - Teacher Notes Unit 6-7 th grade
PERCENTS - Teacher Notes Unit 6-7 th grade Percents are special fractions whose denominators are. The number in front of the percent symbol (%) is the numerator. The denominator is not written, but understood
More informationUsing the Percent Equation
Using the Percent Equation LAUNCH (7 MIN) Before How can your personality affect a decision like this one? During What are the advantages of Offer A? Offer B? After Which option would you choose? KEY CONCEPT
More informationUnit 3.8: Fractions, Decimals and Percent Lesson: Solving Percent Problems
Unit 3.8: Fractions, Decimals and Percent Lesson: Solving Percent Problems Objectives: Students will learn to solve problems involving percent. These include discount questions, percentage of a number,
More informationWhat is cost of dinner only? (if you don t know, assign a variable to represent this value)
Remember that when working with equations that whatever you do to one side, you must do to the other side. Also, when working with unknown quantities, use variables. When solving applied problems, it might
More informationSo Marsha sold $1800 in makeup this week in order to make the $216 in commission.
Section 6C Commission, Interest, Tax, Markup and Discount In the last section, we looked at percent conversions and solving simple percent problems with a proportion. We are now going to look at some more
More informationLesson 14: Multistep Ratio Problems
Student Outcomes Students will solve multi-step ratio problems including fractional markdowns, markups, commissions, fees, etc. Lesson Notes In this lesson, students will solve multi-step ratio problems
More informationEureka Lessons for 7th Grade Unit THREE ~ Ratios & Proportional Relationships Concept 4b
Eureka Lessons for 7th Grade Unit THREE ~ Ratios & Proportional Relationships Concept b Percent Problems Lesson 7 Pages -9 Teacher Pages Mark Up / Mark Down Pages 0- Exit Ticket w/ solutions for Lesson
More information3.3 Problem Solving with Percents. Copyright Cengage Learning. All rights reserved.
3.3 Problem Solving with Percents Copyright Cengage Learning. All rights reserved. 1 What You Will Learn Convert percents decimals and fractions, and vice versa Solve linear equations involving percents
More informationAdd, Subtract, and Multiply Decimals Bookstore
Add, Subtract, and Multiply Decimals SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Create Representations, Quickwrite, Debriefing Mrs. Grace s middle school class operates a bookstore before school
More informationUsing Inequalities to Solve Problems
LESSON 13 Using Inequalities to Solve Problems Plug In Solving One-Step Inequalities An inequality is a sentence that shows one quantity is less than or greater than the other. 13 2 4. 5 1 2 2 3 3, 81
More informationExplore Budgeting Teacher s Manual
Explore Budgeting Teacher s Manual By Judi Kinney Tom Kinney, Editor Jo Reynolds, Graphic Design An Attainment Company Publication 2012 Attainment Company, Inc. All rights reserved. Printed in the United
More informationModule 2 - Ratios and Proportional Relationships Unit 4, Packet 1 - Percent Change
Name: Packet Due Date: Friday, Oct. 19th Module 2 - Ratios and Proportional Relationships Unit 4, Packet 1 - Percent Change Standard 7.RP.A.3 Description Use proportional relationships to solve multistep
More informationMath Summer Packet Grade 8
2018-2019 Math Summer Packet Grade 8 Name: 7 th Grade Math Teacher: 8 th Grade Math Teacher: Part 1: Multiple Choice Directions: Answer every question. (1) Last week Dino spent $18 to bowl 4 games. This
More informationMath Summer Packet Grade 8
2017-2018 Math Summer Packet Grade 8 Name: 7 th Grade Math Teacher: 8 th Grade Math Teacher: Part 1: Multiple Choice Directions: Answer every question. (1) Last week Dino spent $18 to bowl 4 games. This
More informationTake it to the Bank Brownies Program Money Manager
Take it to the Bank Brownies Program Money Manager Schedule of Activities Activity 1 20 minutes Activity 2 20 minutes Activity 3 20 minutes Painting Remaining time (approx. 30 minutes) Activity 1 Wants
More informationChapter 3 Fractions, Decimals, and Percent
Chapter 3 Fractions, Decimals, and Percent 3.1 Fractions to Decimals How can we write a whole number as a decimal or fraction? Example 1. 4 As a Decimal? 1 is 0.10 in decimal form 10 As a Fraction? You
More informationBreaking Even In this lesson, students will use the four basic operations to find the break-even point of a product.
1 Breaking Even In this lesson, students will use the four basic operations to find the break-even point of a product. GRADES 4 5 INSTRUCTIONAL FOCUS Solve multi-step word problems using the four basic
More informationStudent Instruction Sheet: Unit 2 Lesson % OFF Sale Today Only! Percent and Discounts
Suggested time: 45 minutes Student Instruction Sheet: Unit 2 Lesson 6 100% OFF Sale Today Only! Percent and Discounts What s important in this lesson: It is important for you to have a solid understanding
More informationPre-Algebra Guided Notes Unit 7 6-5, 6-6, 6-8, 6-9, 6-10 Name
Pre-Algebra Guided Notes Unit 7 6-5, 6-6, 6-8, 6-9, 6-10 Name Lesson 6-5 Fractions, Decimals and Percents Percent a ratio that compares a number to Percent to Fraction Put number over 100 and simplify.
More informationC if U can. Number. Name
C if U can Number Name.. How will this booklet help you to move from a D to a C grade? The topic of number is split into six units numbers 1, fractions, decimals and percentages 1, ratio and proportion,
More informationModule 4. Math 7 & Pre-Algebra
Module 4 Math 7 & Pre-Algebra Topic A Lesson 1: Percent Today we will look at different ways to write a number. We can write numbers as fractions, decimals and percents. Percent means per hundred. You
More informationDiscounts and Markups 6.6. ACTIVITY: Comparing Discounts. ACTIVITY: Finding the Original Price. How can you find discounts and selling prices?
6.6 Discounts and Markups How can you find discounts and selling prices? 1 ACTIVITY: Comparing Discounts Work with a partner. The same pair of sneakers is on sale at three stores. Which one is the best
More informationUNIT 7. CCM6+7+ Name: Math Teacher: Projected Test Date: Percents conversions and applications
Page 1 CCM6+7+ Unit 7 Percent 2015-16 UNIT 7 Percents conversions and applications CCM6+7+ Name: Math Teacher: Projected Test Date: Topic Page(s) Unit 8 Vocabulary 2 Understand Percent and Convert between
More informationSPRING-BREAK PACKET 7 th grade mathematics
M.S. 181 PABLO CASALS CHRISTOPHER WARNOCK, PRINCIPAL 800 BAYCHESTER AVENUE, BRONX, NY 10475 PHONE: 718-904-5600 Conceive, it, Believe it, Achieve it SPRING-BREAK PACKET 7 th grade mathematics (New York
More informationWhat percent of Canadians do you think use the Internet regularly? PERCENTS. Aims for this unit: What does percent mean?
PERCENTS What percent of Canadians do you think use the Internet regularly? Aims for this unit: I will be able to interpret, represent and use percents greater than 100% I will interpret, represent, and
More informationLesson 6 Practice Problems
Lesson 6 Skills Practice 1. Solve the proportions. Simplify your answers. Show all work. 28 3.5 p 12 a. b. x 5 5 50 c. 11 m d. 20 6 4 5 8 10 w 2. Complete the missing parts of the table. Decimal Percent
More informationLesson 18: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Lesson 18: Writing, Evaluating, and Finding Equivalent Expressions with Rational Student Outcomes Students create equivalent forms of expressions in order to see structure, reveal characteristics, and
More informationSolving Percent Problems
Math Objectives Students will solve one-step and multi-step percent problems. Students will investigate percents greater than 100%. Students will use proportional relationships to solve multi-step percent
More informationHow to Earn It, Save It, Make It Grow. Teacher s Guide: Using Money Matters to Meet TEKS/TAKS Standards
How to Earn It, Save It, Make It Grow Teacher s Guide: Using Money Matters to Meet TEKS/TAKS Standards Teacher s Guide: Using Money Matters to meet TEKS/TAKS standards Use You ll Wonder Where Your Paycheck
More informationShortcut Percentages: 10%
Shortcut Percentages: 10% Overview This activity is designed to introduce students to the method of calculating 10% by finding a tenth (or dividing by 10). It also provides opportunity to revise the fundamental
More informationStudent Instruction Sheet: Unit 2 Lesson 3. Discounts and Taxes. Students will use their knowledge of percents to apply to discounts and taxes.
Student Instruction Sheet: Unit 2 Lesson 3 Discounts and Taxes Suggested time: 75 min What s important in this lesson: Students will use their knowledge of percents to apply to discounts and taxes. Complete
More informationDay 6 Creating Equations from Context Continued (Word Problems)
Foundations of Algebra Unit 4 Notes and Practice Day 6 Creating Equations from Context Continued (Word Problems) Explore: Read the scenario below and answer the following questions. Annie is throwing a
More informationChapter One: Place Value, Multiplication, and Expressions of Whole Numbers. Standard Form Expanded Form Word Form 700, , ,
Chapter One: Place Value, Multiplication, and Expressions of Whole Numbers Part 1: Complete the table. Standard Form Expanded Form Word Form 42,050,371.06 thirty seven million, two hundred fifteen thousand
More informationPROPORTIONS Judo Math Inc.
PROPORTIONS 2013 Judo Math Inc. 7 th grade Grade Yellow Belt Training: Algebra/Proportions Discipline Order of Mastery: Proportional Thinking 1.Intro to proportions 2. Determining proportionality (tables,
More informationStudent Instruction Sheet: Unit 2 Lesson 2. It s Time for a Round-Up Rounding Amounts of Money
Suggested time: 45 minutes Student Instruction Sheet: Unit 2 Lesson 2 It s Time for a Round-Up Rounding Amounts of Money What s important in this lesson: It is important for you to fully understand place
More informationLesson 6 Practice Problems
Name: Date: Lesson 6 Skills Practice 1. Solve the proportions. Simplify your answers. Show all work. 28 3.5 p 12 a. = b. x 5 5 = 50 c. 11 m = d. 20 6 4 5 8 = 10 w 2. Complete the missing parts of the table.
More informationWords for Algebra TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System
Math Objectives Students will explore the nature and needs of a word problem and look at the expression and equations implied by the situation. Students will explore the graph of the function that best
More informationAgenda * Move Vocab Slides to you Math Folder * Turn in Checkups * Lesson 7
Agenda * Move Vocab Slides to you Math Folder * Turn in Checkups * Lesson 7 Objective: Students understand the terms original price, selling price, markup, markdown, markup rate and markdown rate Lesson
More informationIndicate the answer choice that best completes the statement or answers the question.
Indicate the answer choice that best completes the statement or answers the question. For the pair of similar figures, determine the perimeter of the second figure. 1. a. 45 in. b. 24 in. c. 20 in. d.
More informationWork with a partner. Use base ten blocks to model the division. Then find the quotient. a Begin by modeling
2.6 Dividing Decimals decimal division? How can you use base ten blocks to model 1 ACTIVITY: Dividing Decimals Work with a partner. Use base ten blocks to model the division. Then find the quotient. a.
More informationMath Entrance Exam is scheduled for Wednesday, January 6:00 p.m.
Pharmacy Technician Study Guide Practice Math Packet This packet is designed to help prepare you for the Pharmacy Technician Math Entrance Exam. The key has been included to allow the student to check
More information15 (See Example E later in this lab)
Tallahassee Community College APPLICATIONS OF ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION In an earlier chapter, you learned some of the basics of working with applications. Many of the prior applications
More informationWarm-up. 2) Sixteen friends sold tickets to their fall concert. They each sold 1,472 tickets. How many tickets were sold?
Monday, September, 207 Warm-up ) Each student in Mr. Kelly's shop class needs a piece of wood /3 foot long to complete a project. Mr. Kelly has one piece of wood that is 6 6 feet long. How many pieces
More informationDealing With the SHARK TANK. A Critical Thinking project based on the Shark Tank show for 4 th -7 th Grades Advanced Social Studies Students
Dealing With the SHARK TANK A Critical Thinking project based on the Shark Tank show for 4 th -7 th Grades Advanced Social Studies Students Dealing with the Shark Tank Entrepreneurship Project Project
More informationTotal Cost of Materials: Copyright 2016 Connecticut Invention Convention.
Worksheet 1: Cost Inventors have to do more than just come up with amazing ideas. They then need to take those ideas and create them using available money, items, and time. Now that you have created a
More informationProduct : A letter to the manager of grocery store describing students level of commitment as a employer (grocery deliverer)
Performance Task # 1 Are You Interesting in Stretching You Dollar? Goal: Students will save enough money from delivery job to purchase a gaming console or new clothing outfit Situation: Students will figure
More informationP.3 (PERCENT INCREASE/DECREASE) DATE
Lesson Summary Within each problem, there are keywords that determine if the problem represents a percent increase or a percent decrease. Equations can be used to solve percent problems using the basic
More informationLesson 7: Markup and Markdown Problems
Lesson 7: Markup and Markdown Problems Classwork Example 1: A Video Game Markup Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game s Galore Super
More informationSticky Sites. objectives. Essential Question: How do websites attract visitors and keep them there? Learning Overview and Objectives
Estimated time: 45 minutes Essential Question: How do websites attract visitors and keep them there? Learning Overview and Objectives Overview: Students learn about some of the features that attract and
More informationConsumer Mathematics. Robert Taggart
Consumer Mathematics Robert Taggart Table of Contents To the Student................................................. v Unit 1: Dollars and Sense Lesson 1: Coins.............................................
More informationSticky Sites LESSON PLAN. Essential Question How do websites attract visitors and keep them there?
LESSON PLAN Sticky Sites Essential Question How do websites attract visitors and keep them there? Lesson Overview Students learn about some of the features that attract and retain visitors to websites.
More informationRole of the Volunteer
VOLUNTEER GUIDE Role of the Volunteer IMPORTANT POINTS TO REMEMBER PLEASE Provide guidance and assistance to students. Facilitate scheduled staff meetings. Follow the directions as given in this Volunteer
More informationTotal Cost of Materials:
Worksheet 1: Cost Inventors have to do more than just come up with brilliant ideas. They then need to take those ideas and implement them using available money, resources, and time. Now that you have created
More informationGratuity. Erin left a 20% tip on a $15 bill. How much tip did she leave?
Name: Percents Percent Applications Basic Date: Class: Pre-Algebra Topic #7 Sheet 6 1 Commission You are a real estate agent who just sold a home for $653,000. After broker fees etc., you get to pocket
More informationModule 3: Entrepreneurship
SWOT analysis One of the best ways to test if your business idea is a viable one is to use a tool called the SWOT analysis. It draws out strengths, weakness, opportunities and threats. Strengths and weaknesses
More informationGratuity. Nick left a 20% tip on a $15 bill. How much tip did he leave?
Name: Percents Percent Applications Basic Date: Class: Pre-Algebra Topic 7 Sheet #6 1 Commission You are a real estate agent who just sold a home for $653,000. After broker fees etc., you get to pocket
More informationLesson 4: Percent Increase and Decrease
Classwork Opening Exercise Cassandra likes jewelry. She has five rings in her jewelry box. a. In the box below, sketch Cassandra s five rings. b. Draw a double number line diagram relating the number of
More informationUnderstanding Price Elasticity: It s No Stretch!
Understanding Price Elasticity: It s No Stretch! Lesson by Lesley Mace, senior economic and financial education specialist, Federal Reserve Bank of Atlanta, Jacksonville Branch Lesson description An important
More informationFor All Students Taking Consumer Math Summer Review Packet
For All Students Taking Consumer Math Summer Review Packet Name Period Dear Student and Parent/Guardian, The math department at Central Dauphin School District wants you to be successful in Consumer Math.
More informationTEACHER : Markups, Discounts & Taxes
Summary Student will learn how to multiply by the growth factor (1 ± growth rate) and growth rate that result in a percent increase or decrease. We start by having students observe that when you o multiply
More informationPSHEE & C Yearly Overview/Financial Capability Yearly Overview
PSHEE & C Yearly Overview/Financial Capability Yearly Overview 2017-2018 PSHEE&C Units TERM 1 TERM 2 TERM 3 TERM 4 TERM 5 TERM 6 Taking responsibility/new beginnings Healthy me (Healthy Schools focus)
More information*Remember to teach students to read inequalities from left to right. Which ever end they come to first is how it is read.
Equations Teacher Equations N.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. 7.N.1.3 Use properties of the real-number system to explain reasoning
More informationLesson 4: Percent Increase and Decrease
Lesson 4: Percent Increase and Decrease Classwork Opening Exercise Cassandra likes jewelry. She has five rings in her jewelry box. a. In the box below, sketch Cassandra s five rings. b. Draw a double number
More informationOverview for Families
unit: More or Less Mathematical strand: Number The following pages will help you to understand the mathematics that your child is currently studying as well as the type of problems (s)he will solve in
More informationComparing and Scaling Unit Test Review Show any work you do. You may use a calculator.
Comparing and Scaling Unit Test Review Show any work you do. You may use a calculator. 1) Complete the ratio table: 2 6 12 48 18 27 81 2) Mandy runs 4 kilometers in 18 minutes. She plans to run in a 15
More informationGive your answer as a mixed number in its simplest form.
Higher tier unit 4a-1 check in test Non-calculator Q1. Write 18 24 as a fraction in its simplest form. Q2. Which of these fractions is the largest? 5 6 4 7 18 21 11 14 Q3. Work out 11 25 of 2000. Q4. Convert
More informationRicky s Essential Practice Problems MAJOR CLUSTERS (70% 80% of Test Points)
Ratios & Proportional Relationships Ricky s Essential Practice Problems MAJOR CLUSTERS (70% 80% of Test Points) The Number System Expressions & Equations A pair of sneakers was on sale for $153, following
More informationLesson 5 Post-Visit Competition: On the Field and On the Market
Lesson 5 Post-Visit Competition: On the Field and On the Market Objective: Students will be able to: Recognize that businesses make money by selling goods or providing a service to a consumer. Explain
More informationConsumer Math Unit Lesson Title Lesson Objectives 1 Basic Math Review Identify the stated goals of the unit and course
Consumer Math Unit Lesson Title Lesson Objectives 1 Basic Math Review Introduction Identify the stated goals of the unit and course Number skills Signed numbers and Measurement scales A consumer application
More informationDecimal Ops. Computing with Decimals and Percents. Name: Hour:
Decimal Ops Computing with Decimals and Percents Name: Hour: Table of Contents Investigation 1 Investigation 1.2 Page 2 Investigation 1.3 Page 6 Reflection.. Page 10 Investigation 2 Investigation 2.1 Page
More informationREVIEW OPERATIONS WITH FRACTIONS OPERATIONS WITH DECIMALS ALGEBRAIC EQUATIONS PERCENTS
REVIEW OPERATIONS WITH FRACTIONS OPERATIONS WITH DECIMALS ALGEBRAIC EQUATIONS PERCENTS Match each term with its correct definition. 1. One of two numbers whose product is one. Simplest form 2. A decimal
More informationLesson Notes. Lesson 17. Objective. Materials. For use before Module 9 Ratio, Proportion, and Percent Lesson 7 Understanding Percents
Lesson 17 For use before Module 9 Ratio, Proportion, and Percent Lesson 7 Understanding Percents Texas Edition: For use before Module 7 Ratio, Proportion, and Percent Fractions, Decimals, and Percents
More informationB O O K. WRITING AND SIMPLIFYING EXPRESSIONS AIMS Education Foundation
INTERACTIVE B O O K WRITING AND SIMPLIFYING EXPRESSIONS 57 011 AIMS Education Foundation Developed and Published by AIMS Education Foundation This book contains materials developed by the AIMS Education
More informationActivity 13.1 Accounting Firm
Who Decides Wage Rates? Lesson 13 Activity 13.1 Accounting Firm You run a top accounting firm that is in need of additional workers. Tax season is rapidly approaching and your staff simply cannot handle
More informationIntroduction. Identifying Terms, Factors, and Coefficients
Introduction Thoughts or feelings in language are often conveyed through expressions; similarly, mathematical ideas are conveyed through algebraic expressions. Algebraic expressions are mathematical statements
More informationAssessment Target(s): 4 A: Apply mathematics to solve problems arising in everyday life, society, and the workplace.
MAT.05.PT.4.SCHFE.A.272 Claim 4 Item ID: MAT.05.PT.4.SCHFE.A.272 Title: School Festival Grade: 05 Primary Claim: Claim 4: Modeling and Data Analysis Students can analyze complex, real-world scenarios and
More informationRates Ratios and Proportions Review
Rates Ratios and Proportions Review 1. small software company has a ratio of 9 computers to 28 employees. pproximately what fraction of the company's employees have a computer? a. b. c. d. opy and complete
More informationLESSON 3: Prescribe a Pollution Diet
LESSON 3: Prescribe a Pollution Diet LESSON OVERVIEW Pollutey Judy drives everywhere and never carpools. She drives her vehicle that runs on gas out of convenience and does not realize the impact her choices
More informationChecking Versus Savings: What s the Difference?
Checking Versus Savings: What s the Difference? In Session One of JA More Than Money, students learn about having a bank account. They also are introduced to savings accounts. These are two ways people
More informationSTANDARDS: 7.EE.3, 7.EE.4.a, 7.EE.4.b, 7.RP.1, 7.RP.2b, 7.RP.2c, 7.RP.3
7 th Grade Math SAMPLES OF STANDARDS STUDENTS ARE LEARNING THIS NINE WEEKS: STANDARDS: 7.EE.3, 7.EE.4.a, 7.EE.4.b, 7.RP.1, 7.RP.2b, 7.RP.2c, 7.RP.3 7.RP.1 Compute unit rates associated with ratios of fractions,
More informationSTANDARDS: 7.EE.3, 7.EE.4.a, 7.EE.4.b, 7.RP.1, 7.RP.2b, 7.RP.2c, 7.RP.3
7 th Grade Math SAMPLES OF STANDARDS STUDENTS ARE LEARNING THIS NINE WEEKS: STANDARDS: 7.EE.3, 7.EE.4.a, 7.EE.4.b, 7.RP.1, 7.RP.2b, 7.RP.2c, 7.RP.3 A recipe requires cup of milk for each cup of water.
More informationLESSON TITLE: Math in Fashion (by Deborah L. Ives, Ed.D.) GRADE LEVEL: SUBJECT MATTER: Algebra. TIME ALLOTMENT: Two 45-minute class periods
LESSON TITLE: Math in Fashion (by Deborah L. Ives, Ed.D.) GRADE LEVEL: 7-10 SUBJECT MATTER: Algebra TIME ALLOTMENT: Two 45-minute class periods OVERVIEW Using video segments and web interactives from Get
More informationMATH 1101 Chapter 3 Review
MATH 1101 Chapter 3 Review Topics Covered Section 3.1 Fundamental Concepts of Linear Functions Section 3.2 Modeling with Linear Functions Section 3.3 Linear Functions and Data Section 3.4 Linear Regression:
More informationMaking Sense of Data
Tips for Revising Making Sense of Data Make sure you know what you will be tested on. The main topics are listed below. The examples show you what to do. Plan a revision timetable. Always revise actively
More informationADDITION AND SUBTRACTION
LESSON ADDITION AND SUBTRACTION Add or subtract the numbers. Remember to regroup when necessary.. 490 + 69 4. 7. 6,47 4,409 +,70. 9 +. 6 6. 9 7. Calvin works at Rose Villa, a nursing home. At the monthly
More informationCOUPON CLIPPING Saving Money with Math by Using Decimals
W 547 COUPON CLIPPING Saving Money with Math by Using Decimals Aaron Spurling, UT/TSU Extension, Tennessee 4-H Youth Development Alexis N. Hall, Student Assistant, Tennessee 4-H Youth Development Jennifer
More informationLesson III : Prices and elasticity
ECONOMICS Lesson III : Prices and elasticity David Coves i Sanclemente IES Costa i Llobera Price-Elasticity of Price Elastic 100 75 25% 125% 200 450 Quantity The demand represented in this graph is VERY
More informationReading Essentials and Study Guide
Lesson 3 Cost, Revenue, and Profit Maximization ESSENTIAL QUESTION How do companies determine the most profitable way to operate? Reading HELPDESK Academic Vocabulary generates produces or brings into
More informationPromo Countdown Updated 6/12/2013
Promo Countdown Updated 6/12/2013 First steps after your offer is accepted... Now that the artist has accepted your offer, you will receive a contract and rider for your artist from JRA look over the contract
More information* One copy of Activity 1, cut apart for every. * Optional: One copy of Activity 1 for each
FOREIGN EXCHANGE current exchange rates. RATES INTRODUCTION Students often hear or read news reports about foreign exchange rates. Students who have traveled in other countries or whose families have recently
More informationStarting Your Own Business
Grade Five Starting Your Own Business Overview Students listen to several chapters from The Toothpaste Millionaire, by Jean Merrill, to learn about starting a business and earning a profit. They complete
More informationFinancial Literacy: Designing Your Bedroom
Financial Literacy: Designing Your Bedroom Connections to Financial Literacy Describe the financial literacy knowledge and skills which will be addressed and assessed in this lesson. Financial literacy
More informationMANUAL OF OPERATIONS FOR OPC PAYROLL
MANUAL OF OPERATIONS FOR OPC PAYROLL 7540 Municipal Drive, Orlando, Florida 32819 (800) 753-6810 (407) 352-2402 Fax: (407) 352-8836 1 The contents of this document have been assembled strictly for the
More informationSavvy Spending: Sharpening Money Decisions LESSON 2
Savvy Spending: Sharpening Money Decisions LESSON 2 Savvy Spending: Sharpening Money Decisions LESSON 2: TEACHERS GUIDE Whether it s longing for a new snowboard or a designer jacket; teens often have a
More information