2-6 Rates, Ratios, and Proportions. Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1
|
|
- Victor Weaver
- 6 years ago
- Views:
Transcription
1 2-6 Rates, Ratios, and Proportions Warm Up Lesson Presentation Lesson Quiz 2-6 1
2 Questions on
3 Objectives Write and use ratios, rates, and unit rates. Write and solve proportions
4 Vocabulary ratio proportion rate cross products scale scale drawing unit rate scale model conversion factor 2-6 4
5 A ratio is a comparison of two quantities by division. The ratio of a to b can be written a:b or, where b 0. Ratios that name the same comparison are said to be equivalent. A statement that two ratios are equivalent, such as, is called a proportion
6 Reading Math Read the proportion as 1 is to 15 as x is to
7 Example 1A: Using Ratios The ratio of the number of bones in a human s ears to the number of bones in the skull is 3:11. There are 22 bones in the skull. How many bones are in the ears? Write a ratio comparing bones in ears to bones in skull. Write a proportion. Let x be the number of bones in ears. Since x is divided by 22, multiply both sides of the equation by
8 Check It Out! Example 1a The ratio of games lost to games won for a baseball team is 2:3. The team has won 18 games. How many games did the team lose? Write a ratio comparing games lost to games won. Write a proportion. Let x be the number of games lost. Since x is divided by 18, multiply both sides of the equation by
9 A rate is a ratio of two quantities with different units, such as Rates are usually written as unit rates. A unit rate is a rate with a second quantity of 1 unit, such as or 17 mi/gal. You can convert any rate to a unit rate
10 Example 2A: Finding Unit Rates Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record. Find the unit rate. Round your answer to the nearest hundredth. Write a proportion to find an equivalent ratio with a second quantity of 1. Divide on the left side to find x. The unit rate is about 3.47 flips/s
11 Check It Out! Example 2a Cory earns $52.50 in 7 hours. Find the unit rate. Write a proportion to find an equivalent ratio with a second quantity of 1. Divide on the left side to find x. The unit rate is $
12 A rate such as in which the two quantities are equal but use different units, is called a conversion factor. To convert a rate from one set of units to another, multiply by a conversion factor
13 Example 3A: Converting Rates Serena ran a race at a rate of 10 kilometers per hour. What was her speed in kilometers per minute? Round your answer to the nearest hundredth. To convert the second quantity in a rate, multiply by a conversion factor with that unit in the first quantity. The rate is about kilometer per minute. 13
14 Helpful Hint In example 3A, 1 hr appears to divide out, leaving kilometers per minute, which are the units asked for. Use this strategy of dividing out units when converting rates
15 Example 3B: Converting Rates A cheetah can run at a rate of 60 miles per hour in short bursts. What is this speed in feet per minute? Step 1 Convert the speed to feet per hour. To convert the first quantity in a rate, multiply by a conversion factor with that unit in the second quantity. The speed is 316,800 feet per hour
16 Check It Out! Example 3a A cyclist travels 56 miles in 4 hours. What is the cyclist s speed in feet per second? Round your answer to the nearest tenth, and show that your answer is reasonable
17 HOMEWORK Sec 2-6: (Pg 118) 2, 4, 8, 10, 13, 22, 23, 24, 26, 27, 29, 31, 35, 36, 39, 40, 44, 45, 66-69,
2-6 Rates, Ratios, and Proportions
2-6 Rates, Ratios, and Proportions Warm Up Lesson Presentation Lesson Quiz Bell Quiz 2-6(a) Solve each equation. Check your answer. 1. 6x = 36 2. 3. 5m = 18 4. Multiply. 7 5. 8 8 10 pts possible Questions
More informationRatios, Rates, and Conversions. Section 4-1 Part 1
Ratios, Rates, and Conversions Section 4-1 Part 1 Vocabulary Ratio Rate Unit Rate Conversion Factor Unit Analysis Definition Ratio is a comparison of two quantities by division. The ratio of a to b can
More informationFind each percent of change. Round answers to the nearest tenth of a percent, if necessary. A. 65 is decreased to 38.
LESSON 6-6 Percent of Change Lesson Objectives Solve problems involving percent of change Vocabulary percent of change (p. 352) percent of increase (p. 352) percent of decrease (p. 352) Additional Examples
More informationEXPONENTIAL MODELS If quantity Q is known to increase/decrease by a fixed percentage p, in decimal form, then Q can be modeled by
Name: Date: LESSON 4-7 MINDFUL MANIPULATION OF PERCENTS COMMON CORE ALGEBRA II Percents and phenomena that grow at a constant percent rate can be challenging, to say the least. This is due to the fact
More informationPractice Test for Chapter 4 Ratios and Proportions. a. A is a comparison of two quantities that have different units.
439 Name Date Practice Test for Chapter 4 Ratios and Proportions 1. Use rate or ratio to complete the following statement: a. A is a comparison of two quantities that have different units. Not required
More informationTABLE OF CONTENTS. About Finish Line PA Core Math 5. UNIT 1: Big Ideas from Grade 5 7 UNIT 1 REVIEW 39
TABLE OF CONTENTS About Finish Line PA Core Math 5 UNIT 1: Big Ideas from Grade 5 7 LESSON 1 CC.2.1.5.C.2 Multiplying Fractions [connects to CC.2.3.6.A.1] 8 LESSON 2 CC.2.1.5.B.2 Operations with Decimals
More informationAnswer each of the following. 1) What is the difference between a ratio and a rate? 2) What is a unit rate? 3) What is a proportion?
ARE YOU READY? 7 th Grade Accelerated Chapter 7 Vocabulary Name: Date: Block: Answer each of the following. 1) What is the difference between a ratio and a rate? 2) What is a unit rate? 3) What is a proportion?
More information2-4 Completing the Square
2-4 Completing the Square Warm Up Lesson Presentation Lesson Quiz Algebra 2 Warm Up Write each expression as a trinomial. 1. (x 5) 2 x 2 10x + 25 2. (3x + 5) 2 9x 2 + 30x + 25 Factor each expression. 3.
More informationPractice Relating Decimals, Fractions, and Percents. Find the missing ratio or percent equivalent for each letter on the number line.
Chapter 11 Practice 11-1 Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter on the number line. 1. a 2. b 3. c 4. d 5. m 6. r 7. t 8. x Compare. Write
More informationGrade 7: Chapter 1 Practice Test & Vocabulary Review
Name: Date: Class: Grade 7: Chapter 1 Practice Test & Vocabulary Review 1) Find the unit rate: breaks in hours 2) Find the unit price: for CDs 3) During Tracy s trip across the country, she traveled 2,884
More information9.6 Notes Part I Exponential Growth and Decay
9.6 Notes Part I Exponential Growth and Decay I. Exponential Growth y C(1 r) t Time Final Amount Initial Amount Rate of Change Ex 1: The original value of a painting is $9000 and the value increases by
More informationLesson 4 Section 1.11, 1.13 Rounding Numbers Percent
Lesson 4 Section 1.11, 1.13 Rounding Numbers Percent Whole Number Place Value 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0 sextillions hundred quintillions ten quintillions quintillions hundred quadrillions
More informationLearning Goals: * Determining the expected value from a probability distribution. * Applying the expected value formula to solve problems.
Learning Goals: * Determining the expected value from a probability distribution. * Applying the expected value formula to solve problems. The following are marks from assignments and tests in a math class.
More informationLesson 4.5 Real-World Problems: Linear Equations
Lesson 4.5 Real-World Problems: Linear Equations Explain the meaning of the slope and y-intercept in real-world problems. Example A telecommunication company charges their customers a fee for phone calls.
More informationMATH STUDENT BOOK. 8th Grade Unit 4
MATH STUDENT BOOK 8th Grade Unit 4 Unit 4 Proportional Reasoning Math 804 Proportional Reasoning Introduction 3 1. Proportions 5 Proportions 5 Applications 11 Direct Variation 16 SELF TEST 1: Proportions
More information100 = % = 25. a = p w. part of the whole. Finding a Part of a Number. What number is 24% of 50? So, 12 is 24% of 50. Reasonable?
12.1 Lesson Key Vocabulary percent A percent is a ratio whose denominator is 100. Here are two examples. 4 4% = 100 = 0.04 25% = 25 100 = 0.25 The Percent Equation Words To represent a is p percent of
More informationName Class Date C the shelter, which equation represents the relationship between the number of cats and dogs?
- Solving One-Step Equations For Exercises, choose the correct letter.. What is the solution of x? A. B. C. D.. What operation should you use to solve x? F. addition G. subtraction H. multiplication I.
More informationSurvey of Math Exam 2 Name
Survey of Math Exam 2 Name 1. Graph y = 2x 2, by letting x = 3, 2, 1,0,1,2, and 3 and finding corresponding values for y. SEE MARIANNE FOR SOLUTION 2. Use the x- and y-intercepts to graph 4x 2y = 8 SEE
More informationPART I: NO CALCULATOR (200 points)
Prealgebra Practice Final Math 0 OER (Ch. -) PART I: NO CALCULATOR (00 points) (.). Find all divisors of the following numbers. a) b) 7 c) (.). Find the prime factorization of the following numbers. a)
More information8-6 Applications of Percents
Learn to find commission, sales tax, and withholding tax. commission commission rate sales tax withholding tax Vocabulary Real estate agents often work for commission. A commission is a fee paid to a person
More informationMATH 008 LECTURE NOTES Dr JASON SAMUELS. Ch1 Whole Numbers $55. Solution: =81+495= = 36$
MATH 008 LECTURE NOTES Dr JASON SAMUELS Ch1 Whole Numbers $55 Solution: 81+9 55=81+495=576 576-540 = 36$ This alternate way to multiply is called the lattice method, because the boxes make a lattice. The
More informationLesson 3 The Percent Proportion
Lesson 3 The Percent Proportion A percent proportion compares part of a quantity to a whole quantity for one ratio and lists the percent as a number over 100 for the other ratio. is(part) of(whole) = %
More informationChapter 10: Exponential Functions
Chapter 10: Exponential Functions Lesson 1: Introduction to Exponential Functions and Equations Lesson 2: Exponential Graphs Lesson 3: Finding Equations of Exponential Functions Lesson 4: Exponential Growth
More informationDO NOT WRITE RATIOS AS MIXED NUMBERS. NOTE THAT THE ORDER MATTERS.
Math 20 Arithmetic Sec 5.1: Ratios Defn A ratio compares two quantities that have the same type of units. A rate compares two quantities with different units. Ex Suppose the ratio of your monthly expenses
More informationStudent-Built Glossary
6 Student-Built Glossary This is an alphabetical list of key vocabulary terms you will learn in Chapter 6. As you study this chapter, complete each term s definition or description. Remember to add the
More informationSolving and Applying Proportions Name Core
Solving and Applying Proportions Name Core pg. 1 L. 4.1 Ratio and Proportion Notes Ratio- a comparison of 2 numbers by -written. a:b, a to b, or a/b. For example if there are twice as many girls in this
More informationMs. Campos - Math 7 Unit 6 Percents
Ms. Campos - Math 7 Unit 6 Percents 2017-2018 Date Lesson Topic Homework M 5 12/11 1 Understanding Percents Lesson 1 Page 5 T 6 12/12 2 Working with Mental Math Lesson 2 Page 8 W 1 12/13 Activity Finish
More informationLesson Understanding Percents Working with Mental Percents 3 Cases of Percents Percent Change Quiz Deconstructing Percents Percent Error Extra Day
Unit 7 Percent Lesson 1 Understanding Percents 2 Working with Mental Percents 3 3 Cases of Percents 4 Percent Change Quiz 5 Deconstructing Percents 6 Percent Error Extra Day Review Test 1 Vocabulary Lesson
More informationConversions Review. 1. Convert the following Percent s to Decimals. a. 50% = f. 65% = b. 25% = g. 150% = h. 86% = c. 5% = i. 60% = d. 9% = j.
Conversions Review Name: Date: 1. Convert the following Percent s to Decimals Move the decimal two places to the LEFT. When there is no decimal in the number, it would be at the end of the number. a. 50%
More informationLesson Multi-Step Inequalities with Distributive Property
Lesson: Lesson 6..6 Multi-Step Inequalities with Distributive Property 6..6 (Day ) - Supplement Multi-Step Inequalities with Distributive Property Teacher Lesson Plan CC Standards 7.EE.4b Use variables
More informationSolving Real-World Problems with Ratios and Percents
LESSON 3 Plug In Solving Real-World Problems with Ratios and Percents Writing Equivalent Forms: Fraction/Decimal/Percent To write a fraction as a decimal, divide the numerator by the denominator. 41 50
More informationSUMMER MATH PACKET 1-b
SUMMER MATH PACKET 1-b The problems in this packet have been selected to help you to review concepts in preparation for your next math class. Please complete the odd problems in this packet. Show your
More informationInt Math 1 Midterm Review Handout (Modules 1-5)
Int Math 1 Midterm Review Handout (Modules 1-5) 1 Short Answer: (Put answer in box below.) A small hotel with 4 rooms was destroyed in a fire. After the hotel was rebuilt, the owner took out a loan to
More informationUnit 3 Study Guide Adv Math 7
Unit Study Guide Adv Math 7 1) 21 2) 8 4 ) 1 4 1 4) Noah can make 2 1 stickers in 20 minutes. How many stickers can she make each hour? ) In 2.2 minutes, Dr. Hill can type 8 1 8 pages. What is her average
More informationSimplify each expression:
Warm Up Simplify each epression: 1. rs 3 (r 3 4rs r s 3 ) 4. n 1 n. 7a 3 b c 5 45a 4 c 3 5. n + n 3. 3a 3 3a 5 6. 40 3 y 4 5 5 y 9 Chapter 5 Eponents and Logarithms 5.1 Growth & Decay: Integral Eponents
More informationName For those going into. Algebra 1 Honors. School years that begin with an ODD year: do the odds
Name For those going into LESSON 2.1 Study Guide For use with pages 64 70 Algebra 1 Honors GOAL: Graph and compare positive and negative numbers Date Natural numbers are the numbers 1,2,3, Natural numbers
More informationACTIVITY: Comparing Types of Growth
6.5 Eponential Growth growth? What are the characteristics of eponential ACTIVITY: Comparing Tpes of Growth Work with a partner. Describe the pattern of growth for each sequence and graph. How man of the
More information1. Graph y = 2x 2, let x = 3, 2, 1,0,1,2, and 3. 4x 2y = 8. Survey of Math Exam 2 Name. See Marianne for solution
Survey of Math Exam 2 Name 1. Graph y = 2x 2, let x = 3, 2, 1,0,1,2, and 3 See Marianne for solution 2. Use the x- and y-intercepts to graph See Marianne for solution 4x 2y = 8 3. If f (x) = 3x 2 7x 5,
More informationMultiplying and Dividing Rational Expressions
COMMON CORE 4 Locker LESSON 9. Multiplying and Dividing Rational Expressions Name Class Date 9. Multiplying and Dividing Rational Expressions Essential Question: How can you multiply and divide rational
More informationCompute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
Common Core Scope and Sequence Grade 7 Second Quarter Unit 5: Ratio, Rates, and Proportions Domain: Ratios and Proportional Relationships Geometry Cluster: Analyze proportional relationships and use them
More informationLearning Plan 3 Chapter 3
Learning Plan 3 Chapter 3 Questions 1 and 2 (page 82) To convert a decimal into a percent, you must move the decimal point two places to the right. 0.72 = 72% 5.46 = 546% 3.0842 = 308.42% Question 3 Write
More informationUnit 9 Percents. Sections
Name: Per: Week #34 Guides Notes and Homework Unit 9 Percents Sections 6.6-6.9 Learning Objectives: -Solve and write percent equations and problems. -Find percent of increase and decrease. Points Earned
More informationStandard Deviation. 1 Motivation 1
Standard Deviation Table of Contents 1 Motivation 1 2 Standard Deviation 2 3 Computing Standard Deviation 4 4 Calculator Instructions 7 5 Homework Problems 8 5.1 Instructions......................................
More informationFactoring Quadratic Expressions VOCABULARY
5-5 Factoring Quadratic Expressions TEKS FOCUS Foundational to TEKS (4)(F) Solve quadratic and square root equations. TEKS (1)(C) Select tools, including real objects, manipulatives, paper and pencil,
More informationObjectives: Students will be able to model word problems with exponential functions and use logs to solve exponential models.
Pre-AP Algebra 2 Unit 9 - Lesson 6 Exponential Modeling Objectives: Students will be able to model word problems with exponential functions and use logs to solve exponential models. Materials: Hw #9-5
More informationPractice Test - Chapter 4
Use the Distributive Property to write each expression as an equivalent algebraic expression. 1. 6(s + 10) 2. 9(a 4) 3. 5(3 b) 4. 11(m + 7) 5. ENTERTAINMENT Suppose you pay $15 per hour to go horseback
More informationTest # 3 Review Ch. 6 & 7.1 to 7.3 Math MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Test # 3 Review Ch. 6 & 7.1 to 7.3 Math 0306 Name Date: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Round your answer to the tenth of a percent.
More information7th Grade Math Chapter 6 Percents
7th Grade Math Chapter 6 Percents Name: Period: Common Core State Standards CC.7.EE.2 - Understand that rewriting an expression in different forms in a problem context can shed light on the problem and
More informationAcc. Alg. II W.S. Sec Assign. # 5. Show work to justify all answers!!!!!!!
Acc. Alg. II W.S. Sec. 1.1-1.4 Assign. # 5 Name Show work to justify all answers!!!!!!! 1. Determine p so that the slope of the line containing this pair of points has the given value. 5 ( -2, p), (4,
More informationSection 6.5 Applications Involving Percents
Section 6.5 Applications Involving Percents The focus of this section is to show how to set up a proportion to solve word problems involving real-life applications of percent. If the student needs a review
More informationMath Take Home Quiz on Chapter 2
Math 116 - Take Home Quiz on Chapter 2 Show the calculations that lead to the answer. Due date: Tuesday June 6th Name Time your class meets Provide an appropriate response. 1) A newspaper surveyed its
More informationSection 5.6: HISTORICAL AND EXPONENTIAL DEPRECIATION OBJECTIVES
Section 5.6: HISTORICAL AND EXPONENTIAL DEPRECIATION OBJECTIVES Write, interpret, and graph an exponential depreciation equation. Manipulate the exponential depreciation equation in order to determine
More informationPERCENTAGES WARM UP!
PERCENTAGES LAMC INTERMEDIATE GROUP - 1/12/14 WARM UP! The Math Circle instructors are baking cakes for a bake sale, but their recipes call for measurements which they can t seem to measure with their
More informationChapter 6. Section 6.1. Chapter 6 Opener. Big Ideas Math Red Worked-Out Solutions. 6.1 Activity (pp ) Try It Yourself (p.
Chapter 6 Opener Try It Yourself (p. ) 6. 6% 5... 5. 6. 7.. % 5 6 7 6% 5 5 7 5% 7 %, or 5 5 5 5%, or 5 5%, or 76 69 9 76% 5 5 Section 6. 6. Activity (pp. 5). a. b. d. f.. a. b. c. d. %. % c. 7 7%.7 e.
More informationFull file at CHAPTER TWO, FORM A
CHAPTER TWO, FORM A 37 CHAPTER TWO, FORM A ALGEBRA FOR COLLEGE STUDENTS NAME SECTION For Exercises 1-3, solve the equation. 1. 30 + 3 7( 3c) = 4( c 5) + 3c + 7 ( ) c 1.. 0.7 y 14 0.5y = 3.. 3. x 3 x 19
More informationLesson: Adding Negative Numbers Practice Set: Clarify expressions with parentheses
Lesson: Adding Negative Numbers Practice Set: Clarify expressions with parentheses Which of the following are the same as 3 7? There are 3 correct answers. Check all that are true. 3 + (-7) (3 7) (3) +
More informationAlgebra Success. [MULTIPLE REPRESENTATIONS] SOLVE, Verbal Description, Algebraic Formula, Concrete Representation, Pictorial Representation
T755 [OBJECTIVE] The student will learn how to multiply polynomials. [MATERIALS] Student pages S289 S297 Transparencies T765, T767, T769, T771, T773, T775 [ESSENTIAL QUESTIONS] 1. When multiplying polynomials,
More informationMath Winter 2014 Exam 1 January 30, PAGE 1 13 PAGE 2 11 PAGE 3 12 PAGE 4 14 Total 50
Name: Math 112 - Winter 2014 Exam 1 January 30, 2014 Section: Student ID Number: PAGE 1 13 PAGE 2 11 PAGE 3 12 PAGE 4 14 Total 50 After this cover page, there are 5 problems spanning 4 pages. Please make
More informationBACKGROUND KNOWLEDGE for Teachers and Students
Pathway: Agribusiness Lesson: ABR B4 1: The Time Value of Money Common Core State Standards for Mathematics: 9-12.F-LE.1, 3 Domain: Linear, Quadratic, and Exponential Models F-LE Cluster: Construct and
More information7-3 Exponential Review I can apply exponential properties and use them I can model real-world situations using exponential functions Warm-Up 1. Find the next three terms in the sequence 2, 6, 18, 54,,,
More informationMath 154A Elementary Algebra
Math 154A Elementary Algebra Study Guide for Exam 3 Exam 3 is scheduled for Thursday, October 30 th. You may use a 3" x 5" note card (both sides) and a scientific calculator. You are expected to know (or
More informationUnit 7 Percents NAME: GRADE: TEACHER: Ms. Schmidt
Unit 7 Percents NAME: GRADE: TEACHER: Ms. Schmidt Day 1 Classwork Understanding Percents The table to the right shows the ratio of people under 18 years of age to the total population for various states.
More informationUnit 7 Exponential Functions. Name: Period:
Unit 7 Exponential Functions Name: Period: 1 AIM: YWBAT evaluate and graph exponential functions. Do Now: Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will
More informationChapter 7 BUILD YOUR VOCABULARY
C H A P T E R 7 BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 7. As you complete the study notes for the chapter, you will see Build Your Vocabulary
More informationMATH 141 (Extra Practice 1)
MATH 141 (Extra Practice 1) 1. If matrices A = w 0.5 3 2 values of y and w? and B = 4 1 y 2 are inverses of each other, what are the 2. The company that produces a toothpaste has a fixed costs of $5000.
More informationAlgebra Success. LESSON 14: Discovering y = mx + b
T282 Algebra Success [OBJECTIVE] The student will determine the slope and y-intercept of a line by examining the equation for the line written in slope-intercept form. [MATERIALS] Student pages S7 S Transparencies
More informationLesson 3.3 Constant Rate of Change (linear functions)
Lesson 3.3 Constant Rate of Change (linear functions) Concept: Characteristics of a function EQ: How do we analyze a real world scenario to interpret a constant rate of change? (F.IF.7) Vocabulary: Rate
More informationWARM-UP SOLVING PROBLEMS
WARM-UP SOLVING PROBLEMS USING PERCENTS Ex.1) 85% of 440 guests is how many guests? Ex2.) 42 students is 70% of how many students? Ex3.) 576 meals is what percent of 1440 meals? 1-3 SOLUTIONS: SOLVING
More informationChapter 8 Review: Proportions Textbook p Summary: p , p Practice Questions p.473, p
Chapter 8 Review Proportions Tetbook p.449-516 Summary p.471-472, p.513-514 Practice Questions p.473, p.515-516 Key Concepts Unit Rate, Scale Factor, Area, Volume Vocabulary Ratio a comparison of two quantities
More informationWriting a Percent as a Decimal P D
Math 20 Arithmetic Sec 7.1: Percent, Decimals, Fractions Defn Percent means parts per 100. The sign is used to show the number of parts out of 100 parts. Examples Ex 1 Write as a percent. In a group of
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MGF 1107 Practice Final Dr. Schnackenberg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the equation. Select integers for x, -3 x 3. 1) y
More informationMath 6 Unit 7 Notes: Proportional relationships
Math 6 Unit 7 Notes: Proportional relationships Objectives: (3.2) The student will translate written forms of fractions, decimals, and percents to numerical form. (5.1) The student will apply ratios in
More informationMathematics (Project Maths Phase 2)
L.17 NAME SCHOOL TEACHER Pre-Leaving Certificate Examination, 2013 Mathematics (Project Maths Phase 2) Paper 1 Higher Level Time: 2 hours, 30 minutes 300 marks For examiner Question 1 Centre stamp 2 3
More informationLesson 2: Multiplication of Numbers in Exponential Form
: Classwork In general, if x is any number and m, n are positive integers, then because x m x n = x m+n x m x n = (x x) m times (x x) n times = (x x) = x m+n m+n times Exercise 1 14 23 14 8 = Exercise
More informationMath 1205 Ch. 3 Problem Solving (Sec. 3.1)
46 Math 1205 Ch. 3 Problem Solving (Sec. 3.1) Sec. 3.1 Ratios and Proportions Ratio comparison of two quantities with the same units Ex.: 2 cups to 6 cups Rate comparison of two quantities with different
More informationArithmetic Revision Sheet Questions 1 and 2 of Paper 1
Arithmetic Revision Sheet Questions and of Paper Basics Factors/ Divisors Numbers that divide evenly into a number. Factors of,,,, 6, Factors of 8,,, 6, 9, 8 Highest Common Factor of and 8 is 6 Multiples
More informationContents: FORMULAS FROM GEOMETRY STATISTICS DISTANCE, RATE, TIME SIMPLE INTEREST ANSWERS FOCUS EXERCISES INTRODUCTION
Section 1.7 Formulas Contents: FORMULAS FROM GEOMETRY STATISTICS DISTANCE, RATE, TIME INTRODUCTION SIMPLE INTEREST ANSWERS FOCUS EXERCISES Many formulas in a variety of fields require the order of operations
More informationName Date Class. 2. p = $600, r = 4%, t = 3 years. 4. I = $270, r = 5%, t = 3 years. 6. I = $108, p = $900, t = 3 years
Practice A Find each missing value. The first one is done for you. 1. p = $1,000, r = 5%, t = 2 years I = $1,000 0.05 2 I = $100 3. I = $330, r = 3%, t = 1 year = p p = 5. I = $600, p = $2,500, t = 4 years
More informationList the quadrant(s) in which the given point is located. 1) (-10, 0) A) On an axis B) II C) IV D) III
MTH 55 Chapter 2 HW List the quadrant(s) in which the given point is located. 1) (-10, 0) 1) A) On an axis B) II C) IV D) III 2) The first coordinate is positive. 2) A) I, IV B) I, II C) III, IV D) II,
More informationHow can the strategy make a table help you organize and keep track of your bank account balance?
? Name 1.8 PROBLEM SOLVING Add and Subtract Money Essential Question How can the strategy make a table help you organize and keep track of your bank account balance? Number and Operations 5.3.K Also 5.10.D
More informationUnit 2: Ratios & Proportions
Unit 2: Ratios & Proportions Name Period Score /42 DUE DATE: A Day: Sep 21st B Day: Sep 24th Section 2-1: Unit Rates o Rate- A ratio that compares quantities with different kinds of units. o Unit Rate-
More informationInterpreting the Unit Rate as Slope
L E S S N 3.3 Florida Standards The student is expected to: Expressions and Equations.EE.. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different
More informationpar ( 12). His closest competitor, Ernie Els, finished 3 strokes over par (+3). What was the margin of victory?
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Tiger Woods won the 000 U.S. Open golf tournament with a score of 1 strokes under par
More informationEXPONENTIAL FUNCTION BASICS COMMON CORE ALGEBRA II BASIC EXPONENTIAL FUNCTIONS
Name: Date: EXPONENTIAL FUNCTION BASICS COMMON CORE ALGEBRA II You studied eponential functions etensivel in Common Core Algebra I. Toda's lesson will review man of the basic components of their graphs
More informationCompound Interest. Table of Contents. 1 Mathematics of Finance. 2 Compound Interest. 1 Mathematics of Finance 1. 2 Compound Interest 1
Compound Interest Table of Contents 1 Mathematics of Finance 1 2 Compound Interest 1 3 Compound Interest Computations 3 4 The Effective Rate 5 5 Homework Problems 7 5.1 Instructions......................................
More informationPractice 5-4. Unit Rates and Slope. Name Class Date
Name Class Date Practice 5-4 Unit Rates and Slope 5-4 Unit Rates and Slope 1. The graph shows the number of centimeters a particular plant grows over time. Given the points (0,0) and (4,6), how many centimeters
More informationSpecial Binomial Products
Lesson 11-6 Lesson 11-6 Special Binomial Products Vocabulary perfect square trinomials difference of squares BIG IDEA The square of a binomial a + b is the expression (a + b) 2 and can be found by multiplying
More informationMath 8. Quarter 4. Name Teacher Period
Math 8 Quarter 4 Name Teacher Period 1 Unit 12 2 Released Questions 201 For the following questions Calculators are NOT permitted 1) 2) ) 4) 5) 6) 4 For the following questions Calculators are permitted
More informationClick on the links below to jump directly to the relevant section
Click on the links below to jump directly to the relevant section Basic review Proportions and percents Proportions and basic rates Basic review Proportions use ratios. A proportion is a statement of equality
More informationReteaching. Ratios. For every 6 boys in the class, there are 5 girls in the class. Write each ratio in two other ways.
- Ratios on a Tape Diagram: The tape diagram shows the ratio of boys to girls in a swimming class. How can you describe the ratio of boys to girls? Boys Girls For every 6 boys in the class, there are girls
More informationPre-Algebra Blizzard Bag Number 3
Name: Class: Date: ID: A Pre-Algebra Blizzard Bag Number 3 Multiple Choice Identify the choice that best completes the statement or answers the question. Express each ratio as a fraction in simplest form..
More informationQuadratic Modeling Elementary Education 10 Business 10 Profits
Quadratic Modeling Elementary Education 10 Business 10 Profits This week we are asking elementary education majors to complete the same activity as business majors. Our first goal is to give elementary
More informationEXAMPLE. 6 The answer is 3x x 1 1. Divide. a. A10x x 2 B 4 (1 + 2x) b. A9-6a 2-11aB a 5 3a 1. Step 1 Step 2. Step 3.
-. Plan Lesson Preview Check Skills You ll Need Adding and Subtracting Polnomials Lesson 9-: Eample Eercises 0 Etra Practice, p. 70 Multipling Binomials Lesson 9-: Eamples, Eercises 9 Etra Practice, p.
More informationPercent Increase and Decrease
Name Date _ Class _ Practice A Percent Increase and Decrease State whether each change represents an increase or decrease. 1. from 10 to 15 2. from 16 to 12 3. from 8 to 14 Find each percent increase or
More informationb. How would each rule in Part a change if the initial mold area was only 3 cm 2?
Special Topics: U5. L1. Inv 3 Name: Homework: Math XL Unit 5 HW: 10/12 10/16 (Due Friday, 10/16, by 11:59 pm) Lesson Target: Find strategies for analyzing patterns of change called exponential growth.
More informationPage Points Score Total: 100
Math 1130 Spring 2019 Sample Midterm 3a 4/11/19 Name (Print): Username.#: Lecturer: Rec. Instructor: Rec. Time: This exam contains 9 pages (including this cover page) and 9 problems. Check to see if any
More informationFRACTIONS. If you eat 9/12 from one candy bar and eat 4/12 from the other candy bar, how much did you eat altogether?
Brain Pop Add & Subtract Fractions: Like Denominators Title: Add and Subtract Fractions (Like Denominators) Time: minutes Grade: th Mathematics Objective: SWBAT NJCCCS:. Warm Up Cake Warm Up You are having
More informationMath 1101 Exam 1 Practice Problems
Math 1101 Eam 1 Practice Problems These problems are not intended to cover all possible test topics. Rather, the should serve as an activit in preparing for our test, but other stud is required to full
More information6, 6 to 8 8. , 3 : 1, or 3 to 1 1
- Ratios on a Tape Diagram: The tape diagram shows the ratio of boys to girls in a swimming class. How can you describe the ratio of boys to girls? Boys Girls For every 6 boys in the class, there are girls
More informationExam Write the following ratio using fractional notation. Write in simplest form. a) 140 ounces to 155 ounces 2 points
Math 254CM Spring 2018 Name: Date: Exam 3 No books or notes are allowed during the exam. A basic arithmetic calculator is allowed. Show your work. Some problems you can answer without doing any work but
More information