6-5 Solving Proportions

Size: px
Start display at page:

Download "6-5 Solving Proportions"

Transcription

1 Solve each proportion esolutions Manual - Powered by Cognero Page 1

2 esolutions Manual - Powered by Cognero Page 2

3 TELEVISION Aspect ratio is the ratio of width to height of a television screen. A widescreen television screen has an aspect ratio of 16 inches wide to 9 inches high. If a television screen is 48 inches wide, how many inches high is it? Let h represent the height of the screen that is 48 inches wide. The height of the television screen is 27 inches. 27 in. TIME Joaquin has a total of 12.5 hours of football practice after school five days a week. Each practice is the same amount of time. How many hours of practice will he have for 15 school days? 22 school days? Let x represent the number of hours per day Joaquin has practice. Joaquin practices 2.5 hours per day. Use the equation 2.5d = h to find the number of hours h he practices in d days. Joaquin has 37.5 hours of practice for 15 school days. Joaquin has 55 hours of practice for 22 school days h; 55 h esolutions Manual - Powered by Cognero Page 3

4 Solve each proportion esolutions Manual - Powered by Cognero Page 4

5 esolutions Manual - Powered by Cognero Page 5

6 esolutions Manual - Powered by Cognero Page 6

7 esolutions Manual - Powered by Cognero Page 7

8 PAINTING The classrooms at Lincoln Middle School are painted every summer. If 7 gallons of paint are needed to paint 4 classrooms, how many gallons of paint are needed to paint 16 classrooms? Let g represent the gallons of paint needed to paint 16 classrooms. To paint 16 classrooms, 28 gallons of paint are needed. 28 gal PIZZA A principal is ordering pizzas for a school pizza party. He knows that 9 pizzas will feed 25 students. If there are 300 students in the school, how many pizzas will he need to order? Let p represent the number of pizzas needed for 300 students. The principal will need to order 108 pizzas. 108 pizzas esolutions Manual - Powered by Cognero Page 8

9 BOATS A boat traveled 150 feet in 9.7 seconds. How far would the boat travel in 1 minute? 1 minute 30 seconds? Let x represent the number of feet the boat travels per second. The boat travels about feet per second. Use the equation d = t to find the distance d the boat travels in t seconds. Because 1 minute = 60 seconds, substitute 60 for t and solve. The boat travels about feet in 1 minute. Because 1 minute 30 seconds = or 90 seconds, substitute 90 for t and solve. The boat travels about feet in 1 minute 30 seconds ft; ft esolutions Manual - Powered by Cognero Page 9

10 RAINFALL The record for the most amount of rain in the shortest amount of time in the United States was 12 inches in 42 minutes. How much rain fell in 15 minutes? 28 minutes? Let x represent the number of inches of rain per minute. The rain fell at a rate of about inches per minute. Use the equation a = 0.286t to find the number of inches of rain a that fell in t minutes. In 15 minutes, about 4.29 inches of rain fell. In 28 minutes, about 8 inches of rain fell in.; 8.0 in. PUNCH The table shows the amount of each ingredient in 52 ounces of punch. a. If you have 130 ounces of punch, how much lime juice does the punch contain? b. If there are 54 ounces of sparkling lemon water in the punch, how many ounces of cranberry concentrate does the punch contain? c. If the punch contains 44 ounces of water, how many ounces of punch do you have? a. There are 4 ounces of lime juice in 52 ounces of punch. Let l represent the number of ounces of lime juice in 130 ounces of punch. esolutions Manual - Powered by Cognero Page 10

11 There are 10 ounces of lime juice in 130 ounces of punch. b. For every 24 ounces of sparkling lemon water, there are 12 ounces of cranberry concentrate. Let c represent the number of ounces of cranberry concentrate in punch that contains 54 ounces of sparkling lemon water. There are 27 ounces of cranberry concentrate in punch that contains 54 ounces of sparkling lemon water. c. There are 12 ounces of water in 52 ounces of punch. Let p represent the number of ounces of punch that contains 44 ounces of water. 44 ounces of water would be contained in approximately ounces of punch. a. 10 oz b. 27 oz c oz esolutions Manual - Powered by Cognero Page 11

12 Write a proportion that could be used to solve for each variable. Then solve. 6 goals in 14 games 9 goals in g games 9 goals in 21 games ; 21 games s inches in 0.54 hour 4.55 inches in 1.89 hours 1.3 inches in 0.54 hour ; 1.3 in. esolutions Manual - Powered by Cognero Page 12

13 14 gallons for d dollars 8 gallons for $ gallons for $43.26 ; $ boxes on 4 shelves b boxes on 20 shelves 100 boxes on 20 shelves ; 100 boxes esolutions Manual - Powered by Cognero Page 13

14 ART A 14-inch-wide by 20-inch-long print of the Eiffel Tower is also available as a postcard 6 inches long. What is the width of the postcard? Let w represent the width of the postcard. The width of the postcard is 4.2 inches. 4.2 in. Solve each proportion. 0.8 esolutions Manual - Powered by Cognero Page 14

15 73 15 esolutions Manual - Powered by Cognero Page 15

16 63 7 esolutions Manual - Powered by Cognero Page 16

17 9 MULTIPLE REPRESENTATIONS In this problem, you will explore proportions. A craft store is offering the specials shown for different materials. a. Algebraic Write an equation relating the cost c to the number of yards n for each material. b. Graphical Graph the cost of each material per yard on a coordinate plane. Which item costs the least per yard? the most? How is this shown on the graph? c. Numerical How much would it cost to buy 18 inches of ribbon? How much would it cost to buy 10 meters of fleece? a. Let y represent the cost per yard of each material. To determine the total cost of a certain material, find the product of the cost per yard and the number of yards bought. Material Cost Unit Rate Cost c of the number of yards n Ribbon $2.67 for 3 yd c = 0.89n Fleece $9.50 for 2 yd esolutions Manual - Powered by Cognero Page 17

18 Fleece $9.50 for 2 yd c = 4.75n Quilting Fabric $11.96 for 4 yd c = 2.99n Satin Fabric $10.35 for 3 yd c = 3.45n b. Ribbon costs the least per yard. Fleece costs the most per yard. The most expensive fabric is the line that is the steepest. The cheapest fabric is the line that is the least steep. c. Convert 18 inches to yards, then substitute for n in c = 0.89n and solve. esolutions Manual - Powered by Cognero Page 18

19 It will cost $0.45 to buy 18 inches of ribbon. Convert 10 meters to yards, then substitute for n in c = 4.75n and solve. It will cost $51.97 to buy 10 meters of fleece. a. ribbon: c = 0.89n; fleece: c = 4.75n; quilting fabric: c = 2.99n; satin fabric: c = 3.45n b. ribbon; fleece; The most expensive fabric is the line that is the steepest. The cheapest fabric is the line that is the least steep. c. $0.45; $51.97 esolutions Manual - Powered by Cognero Page 19

20 OPEN ENDED Give two examples that are proportional to. and., REASONING Suppose a:b = 2:4 and b:c = 4:9. If a = 10, find the value of c. Substitute 10 for a in Substitute 20 for b in 45 CHALLENGE Solve each proportion. a. esolutions Manual - Powered by Cognero Page 20

21 b. c. d. a. b. c. d. a. 6 b. 4 c. 10 d. 12 esolutions Manual - Powered by Cognero Page 21

22 ERROR ANALYSIS Trey and Morgan are solving the proportion reasoning.. Is either of them correct? Explain your Sample answer: Trey is correct. Morgan cross multiplied incorrectly. Trey; Sample answer: Morgan cross multiplied incorrectly. esolutions Manual - Powered by Cognero Page 22

THANK YOU FOR YOUR PURCHASE!

THANK YOU FOR YOUR PURCHASE! THANK YOU FOR YOUR PURCHASE! The resources included in this purchase were designed and created by me. I hope that you find this resource helpful in your classroom. Please feel free to contact me with any

More information

GRADE 6 WINTER REVIEW MATH PACKET

GRADE 6 WINTER REVIEW MATH PACKET Student Name: Date: Math Teacher: Period: GRADE 6 WINTER REVIEW MATH PACKET 2014-2015 Find the greatest common factor of each set of numbers. 1. 27, 36, 72 a. 216 b. 8 c. 9 d. 18 2. The table shows the

More information

Ratios, Rates & Proportions Chapter Questions

Ratios, Rates & Proportions Chapter Questions Ratios, Rates & Proportions Chapter Questions 1. How are ratios simplified? 2. How are equivalent ratios written? 3. How are unit rates determined? 4. How can equivalent rates help to solve problems? 5.

More information

Mobile Math Teachers Circle The Return of the iclicker

Mobile Math Teachers Circle The Return of the iclicker Mobile Math Teachers Circle The Return of the iclicker June 20, 2016 1. Dr. Spock asked his class to solve a percent problem, Julia set up the proportion: 4/5 = x/100. She then cross-multiplied to solve

More information

McRuffy Press Fourth Grade Color Math Test 7

McRuffy Press Fourth Grade Color Math Test 7 McRuffy Press Fourth Grade Color Math Test 7 Materials: Test pages (Resource pack, 3 sheets) Test Directions Page :. Problem solving: Solve the problems. 2. Fractions to decimals: Change the fractions

More information

amount base = percent 30% of the class 90% of the points 65% of the televisions

amount base = percent 30% of the class 90% of the points 65% of the televisions Free Pre-Algebra Lesson 41! page 1 Lesson 41 Solving Percent Equations A percent is really a ratio, usually of part to whole. In percent problems, the numerator of the ratio (the part) is called the, and

More information

TEST NAME:Decimal Review TEST ID: GRADE:05 Fifth Grade SUBJECT: Mathematics TEST CATEGORY: My Classroom

TEST NAME:Decimal Review TEST ID: GRADE:05 Fifth Grade SUBJECT: Mathematics TEST CATEGORY: My Classroom TEST NAME:Decimal Review TEST ID:1123506 GRADE:05 Fifth Grade SUBJECT: Mathematics TEST CATEGORY: My Classroom Decimal Review Page 1 of 17 Student: Class: Date: 1. Which number line model represents the

More information

UNIT 6 Ratios, Rates, Proportions and Measurement Conversions CCM6+7+ Name Teacher Estimated Test Date

UNIT 6 Ratios, Rates, Proportions and Measurement Conversions CCM6+7+ Name Teacher Estimated Test Date Page 1 UNIT 6 RATIOS RATES PROPORTIONS Meas. CONVERSIONS CCM6+7+ UNIT 6 Ratios, Rates, Proportions and Measurement Conversions CCM6+7+ Name Teacher Estimated Test Date Main Topics Page Number(s) Unit 7

More information

Module 1. Ratios and Proportional Relationships Lessons 11 14

Module 1. Ratios and Proportional Relationships Lessons 11 14 Math 7 Module Lessons.notebook September, 05 Module Ratios and Proportional Relationships Lessons Lesson # September, 05 You need: pencil, calculator and binder. Do Now: Find your group and complete do

More information

Lesson 25: Solving Problems in Two Ways Rates and Algebra

Lesson 25: Solving Problems in Two Ways Rates and Algebra : Solving Problems in Two Ways Rates and Algebra Student Outcomes Students investigate a problem that can be solved by reasoning quantitatively and by creating equations in one variable. They compare the

More information

Practice Test. 2. What is the probability of rolling an even number on a number cube? a. 1 6 b. 2 6 c. 1 2 d. 5 be written as a decimal? 3.

Practice Test. 2. What is the probability of rolling an even number on a number cube? a. 1 6 b. 2 6 c. 1 2 d. 5 be written as a decimal? 3. Name: Class: Practice Test. The elevation of the surface of the Dead Sea is -424. meters. In 2005, the height of Mt. Everest was 8,844.4 meters. How much higher was the summit of Mt. Everest? a. -9.268.7

More information

6th Grade Advanced Topic II Assessment

6th Grade Advanced Topic II Assessment 1. The table shows the number of sport cards of each kind in Monique s collection. Monique s Sport Card Collection Kind of Card Baseball Basketball Football Hockey Total Number of Cards 36 28 20 16 100

More information

Display Dilemma. Display Dilemma. 1 of 12. Copyright 2008, Exemplars, Inc. All rights reserved.

Display Dilemma. Display Dilemma. 1 of 12. Copyright 2008, Exemplars, Inc. All rights reserved. I visited friends in New York City during the summer. They took me to this HUGE Wal-Mart store. There was a display of cookie boxes that I could not believe! The display was in a pyramid shape with at

More information

Unit 7, Lesson 1: Exponent Review

Unit 7, Lesson 1: Exponent Review Unit 7, Lesson 1: Exponent Review 1. Write each expression using an exponent: a. b. c. d. The number of coins Jada will have on the eighth day, if Jada starts with one coin and the number of coins doubles

More information

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster TEACHER GUIDE FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS 3 2 INCLUDES Tier Tier 2 Tier 3 Correlations Diagnostic Interviews for Every Common Core Cluster Tier Lessons, Tier 2 Prerequisite Skills,

More information

BLACKLINE MASTERS FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS GRADE

BLACKLINE MASTERS FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS GRADE BLACKLINE MASTERS BLACKLINE MASTERS FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS GRADE 6 PROVIDES Tier Intervention for Every Common Core Standard Table of Contents Ratios and Proportional Relationships

More information

N12/5/MATSD/SP2/ENG/TZ0/XX. mathematical STUDIES. Wednesday 7 November 2012 (morning) 1 hour 30 minutes. instructions to candidates

N12/5/MATSD/SP2/ENG/TZ0/XX. mathematical STUDIES. Wednesday 7 November 2012 (morning) 1 hour 30 minutes. instructions to candidates 88127402 mathematical STUDIES STANDARD level Paper 2 Wednesday 7 November 2012 (morning) 1 hour 30 minutes instructions to candidates Do not open this examination paper until instructed to do so. A graphic

More information

Preview Library Built Test (Printable Worksheet)

Preview Library Built Test (Printable Worksheet) Page 1 of 10 Copyright 2015 Edmentum - All rights reserved. Ratio and Proportion 1. An item is priced at $13.56. If the sales tax is 5%, what does the item cost including sales tax? $0.68 $20.34 $14.24

More information

Comparing Areas of Rectangles

Comparing Areas of Rectangles Activity Overview In this activity, students discover the relationship between a change in the dimensions of a rectangle and the change in the corresponding area. Topic: Problem Solving Understand measurable

More information

Table of Contents. Introduction...v. About the CD-ROM...vi. Standards Correlations... vii. Ratios and Proportional Relationships...

Table of Contents. Introduction...v. About the CD-ROM...vi. Standards Correlations... vii. Ratios and Proportional Relationships... Table of Contents Introduction...v About the CD-ROM...vi Standards Correlations... vii Ratios and Proportional Relationships... 1 The Number System... 10 Expressions and Equations... 23 Geometry... 27

More information

percents Common Core Standard 7.RP3 Use proportional relationships to solve multistep ratio and percent problems.

percents Common Core Standard 7.RP3 Use proportional relationships to solve multistep ratio and percent problems. Intro All right, welcome to class everybody I need you guys to come in, take your seat Take out everything you need Put it on top of your desk I have something real special planned for you Now make sure

More information

EOC FINAL REVIEW Name Due Date

EOC FINAL REVIEW Name Due Date 1. The line has endpoints L(-8, -2) and N(4, 2) and midpoint M. What is the equation of the line perpendicular to and passing through M? A. B. Y= C. Y= D. Y= 3x + 6 2. A rectangle has vertices at (-5,3),

More information

Delta College Middle School Math Competition Practice Test A 2018

Delta College Middle School Math Competition Practice Test A 2018 Delta College Middle School Math Competition Practice Test A 208 ) In the Noveo music group there are 4 times as many flutes as there are bassoons. The number of clarinets is 8 more than triple the number

More information

Analyzing Numerical Data: Using Ratios I.B Student Activity Sheet 4: Ratios in the Media

Analyzing Numerical Data: Using Ratios I.B Student Activity Sheet 4: Ratios in the Media For a rectangular shape such as a display screen, the longer side is called the width (W) and the shorter side is the height (H). The aspect ratio is W:H or W/H. 1. What is the approximate aspect ratio

More information

AskDrCallahan Calculus 1 Teacher s Guide

AskDrCallahan Calculus 1 Teacher s Guide AskDrCallahan Calculus 1 Teacher s Guide 3rd Edition rev 080108 Dale Callahan, Ph.D., P.E. Lea Callahan, MSEE, P.E. Copyright 2008, AskDrCallahan, LLC v3-r080108 www.askdrcallahan.com 2 Welcome to AskDrCallahan

More information

x) Graph the function

x) Graph the function 1) If and, find and 2) If, find 3) Use the definition of logarithms to rewrite this equation in exponential form: 4) Expand 5) a) Evaluate and show how you got the answer without a calculator. b) Evaluate

More information

6 th Grade Semester 2 Review 1) It cost me $18 to make a lamp, but I m selling it for $45. What was the percent of increase in price?

6 th Grade Semester 2 Review 1) It cost me $18 to make a lamp, but I m selling it for $45. What was the percent of increase in price? 6 th Grade Semester 2 Review 1) It cost me $18 to make a lamp, but I m selling it for $45. What was the percent of increase in price? 2) Tom's weekly salary changed from $240 to $288. What was the percent

More information

Jumpstarters for Math

Jumpstarters for Math Jumpstarters for Math Short Daily Warm-ups for the Classroom By CINDY BARDEN COPYRIGHT 2005 Mark Twain Media, Inc. ISBN 10-digit: 1-58037-297-X 13-digit: 978-1-58037-297-8 Printing No. CD-404023 Mark Twain

More information

Grade 5 Mathematics Mid-Year Assessment REVIEW

Grade 5 Mathematics Mid-Year Assessment REVIEW Grade 5 Mathematics Mid-Year Assessment REVIEW The learning targets (Texas Essential Knowledge and Skill statements) are listed prior to sample items. The sample items are not an exhaustive list and only

More information

Please fax your students rhythms from p.7 to us AT LEAST THREE DAYS BEFORE the video conference. Our fax number is

Please fax your students rhythms from p.7 to us AT LEAST THREE DAYS BEFORE the video conference. Our fax number is Class Materials 1 Dear Educator, Thank you for choosing the. Inside this packet, you will find all of the materials your class will need for your upcoming Math and Music video conference. There are lessons

More information

3. Artemis bought a box of mini cookies in the shapes of hearts, stars, and circles. She laid out all the cookies on her plate.

3. Artemis bought a box of mini cookies in the shapes of hearts, stars, and circles. She laid out all the cookies on her plate. Summative Assessment 1. In which expression does g have a coefficient of 8? A. 8g B. g 8 C. 8 + g D. 2. Which number line correctly shows 7 and its opposite? A. B. C. D. 3. Artemis bought a box of mini

More information

Introduction to Geometric Sequences Scaffolded Notes

Introduction to Geometric Sequences Scaffolded Notes Introduction to Geometric Sequences Scaffolded Notes Name Date Period Teacher What are sequences? After 3 After 3 Write the terms in the sequence.,,, How would you find the next term? Write the terms in

More information

Student Guide. 1. A.* batches B.* 8 batches; Copyright Kendall Hunt Publishing Company. 2. A.* less than 1 B.* cups C.* 2 5. cups;

Student Guide. 1. A.* batches B.* 8 batches; Copyright Kendall Hunt Publishing Company. 2. A.* less than 1 B.* cups C.* 2 5. cups; Answer Key Lesson 0: Student Guide Mrs Murphy s Bakery Draw pictures and use invented strategies, repeated subtraction, rectangles, fraction circle pieces, and number lines to solve the problems Mrs Murphy

More information

2016 Excellence in Mathematics Contest Team Project Level I (Precalculus and above) School Name: Group Members:

2016 Excellence in Mathematics Contest Team Project Level I (Precalculus and above) School Name: Group Members: 016 Excellence in Mathematics Contest Team Project Level I (Precalculus and above) School Name: Group Members: Reference Sheet Formulas and Facts You may need to use some of the following formulas and

More information

1-1 Variables and Expressions

1-1 Variables and Expressions 1-1 Variables and Expressions Warm Up Lesson Presentation Lesson Quiz Warm Up Add or subtract. 1. 6 + 104 110 2. 12(9) 108 3. 23 8 15 4. Multiply or divide. 5. 324 18 18 6. 6 7. 13.5(10) 135 8. 18.2 2

More information

Review. pg Review Relay 15:35 = 18 = 6 144:72 = 1. Reduce the ratio to lowest terms: April 30, day 9 review answers.

Review. pg Review Relay 15:35 = 18 = 6 144:72 = 1. Reduce the ratio to lowest terms: April 30, day 9 review answers. Review pg 57-62 Apr 23 3:58 PM 4.8.2 Review Relay 1. Reduce the ratio to lowest terms: pg 57 15:35 = 18 = 6 144:72 = May 10 3:18 PM 1 2. Calculate the following percents: pg 57 45% of 220 = 120% x 555=

More information

Course 1 Unit 4 Practice

Course 1 Unit 4 Practice Course 1 Unit 4 Practice Lesson 17-1 1. Use ratios to compare the shapes shown. a. black shapes to all shapes 4. Reason quantitatively. The number of ducks to geese in Miller s Pond last year was 2:3.

More information

(1) + 1(0.1) + 7(0.001)

(1) + 1(0.1) + 7(0.001) Name: Quarterly 1 Study Guide The first quarterly test covers information from Modules 1, 2, and 3. If you complete this study guide and turn it in on Tuesday, you will receive 5 bonus points on your Quarterly

More information

Uses of Fractions. Fractions

Uses of Fractions. Fractions Uses of The numbers,,,, and are all fractions. A fraction is written with two whole numbers that are separated by a fraction bar. The top number is called the numerator. The bottom number is called the

More information

ACCELERATED MATHEMATICS CHAPTER 3 FRACTIONS TOPICS COVERED:

ACCELERATED MATHEMATICS CHAPTER 3 FRACTIONS TOPICS COVERED: ACCELERATED MATHEMATICS CHAPTER FRACTIONS TOPICS COVERED: Divisibility Rules Primes & Prime Factorization Greatest Common Factor Least Common Multiple Fraction sense Adding and subtracting fractions and

More information

Unit 07 PC Form A. 1. Use pencil and paper to answer the question. Plot and label each point on the coordinate grid.

Unit 07 PC Form A. 1. Use pencil and paper to answer the question. Plot and label each point on the coordinate grid. 1. Use pencil and paper to answer the question. Plot and label each point on the coordinate grid. A (5,2) B (2,2) C (0,0) D (1,3) E (2,4) 2. Use pencil and paper to answer the question. Write two fractions

More information

1. Point A on the graph below represents the distance and time that Cat traveled on her trip. Which of the following represents her average speed?

1. Point A on the graph below represents the distance and time that Cat traveled on her trip. Which of the following represents her average speed? Name Period Date Functions & Modeling Packet 7 1. Point A on the graph below represents the distance and time that Cat traveled on her trip. Which of the following represents her average speed? A. x-coordinate

More information

Distribution of Data and the Empirical Rule

Distribution of Data and the Empirical Rule 302360_File_B.qxd 7/7/03 7:18 AM Page 1 Distribution of Data and the Empirical Rule 1 Distribution of Data and the Empirical Rule Stem-and-Leaf Diagrams Frequency Distributions and Histograms Normal Distributions

More information

SEVENTH GRADE. Revised June Billings Public Schools Correlation and Pacing Guide Math - McDougal Littell Middle School Math 2004

SEVENTH GRADE. Revised June Billings Public Schools Correlation and Pacing Guide Math - McDougal Littell Middle School Math 2004 SEVENTH GRADE June 2010 Billings Public Schools Correlation and Guide Math - McDougal Littell Middle School Math 2004 (Chapter Order: 1, 6, 2, 4, 5, 13, 3, 7, 8, 9, 10, 11, 12 Chapter 1 Number Sense, Patterns,

More information

SPEED DRILL WARM-UP ACTIVITY

SPEED DRILL WARM-UP ACTIVITY SPEED DRILL WARM-UP ACTIVITY Name the operation representative of each of the following: percent left reduction total more half less twice off lower each double Write the equivalents: 20% as a decimal

More information

Draft last edited May 13, 2013 by Belinda Robertson

Draft last edited May 13, 2013 by Belinda Robertson Draft last edited May 13, 2013 by Belinda Robertson 97 98 Appendix A: Prolem Handouts Problem Title Location or Page number 1 CCA Interpreting Algebraic Expressions Map.mathshell.org high school concept

More information

MAT Practice (solutions) 1. Find an algebraic formula for a linear function that passes through the points ( 3, 7) and (6, 1).

MAT Practice (solutions) 1. Find an algebraic formula for a linear function that passes through the points ( 3, 7) and (6, 1). MAT 110 - Practice (solutions) 1. Find an algebraic formula for a linear function that passes through the points ( 3, 7) and (6, 1). Answer: y = 2 3 + 5 2. Let f(x) = 8x 120 (a) What is the y intercept

More information

Homework Week 1 Grade 5. Name

Homework Week 1 Grade 5. Name Homework Week 1 Grade 5 Name Week 1 Day 1 5 yards = feet 1) Draw an array to represent 3 2. 2) Point C is the center of the circle. What is the diameter of the circle? 20 in. C 1) 2) 3) 3) When you find

More information

12.1 Creating Systems of Linear Equations

12.1 Creating Systems of Linear Equations Name Class Date 12.1 Creating Sstems of Linear Equations Essential Question: How do ou use sstems of linear equations to model and solve real-world problems? Resource Locker Eplore Creating Linear Sstem

More information

BPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days

BPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days BPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days 1 All Operations with Integers 7.NS.1, 7.NS.2, 7.NS.3 1,4,6,8 7 2 All Operations with Rational Numbers 7.NS.1c,

More information

Maths-Whizz Investigations Paper-Back Book

Maths-Whizz Investigations Paper-Back Book Paper-Back Book are new features of our Teachers Resource to help you get the most from our award-winning software and offer new and imaginative ways to explore mathematical problem-solving with real-world

More information

Algebra in Our World from the workshop Law and Algebra: SVU (Special Visual Unit) by Heidi Schuler-Jones

Algebra in Our World from the workshop Law and Algebra: SVU (Special Visual Unit) by Heidi Schuler-Jones Algebra in Our World from the workshop Law and Algebra: SVU (Special Visual Unit) by Heidi Schuler-Jones hschuler@ellijay.com. Every spring break Patty would take a group of college students to Juarez,

More information

Chapter 7: RV's & Probability Distributions

Chapter 7: RV's & Probability Distributions Chapter 7: RV's & Probability Distributions Name 1. Professor Mean is planning the big Statistics Department Super Bowl party. Statisticians take pride in their variability, and it is not certain what

More information

Professor Weissman s Algebra Classroom

Professor Weissman s Algebra Classroom Combine Like Terms Unit #12 2007 Prof Weissman s Software Tel: 1-347-528-7837 mathprof@hotmail.com Professor Weissman s Algebra Classroom Martin Weissman, Jonathan S. Weissman, Tamara Farber, & Keith Monse

More information

MA 15910, Lesson 5, Algebra part of text, Sections 2.3, 2.4, and 7.5 Solving Applied Problems

MA 15910, Lesson 5, Algebra part of text, Sections 2.3, 2.4, and 7.5 Solving Applied Problems MA 15910, Lesson 5, Algebra part of text, Sections 2.3, 2.4, and 7.5 Solving Applied Problems Steps for solving an applied problem 1. Read the problem; carefully noting the information given and the questions

More information

d. Could you represent the profit for n copies in other different ways?

d. Could you represent the profit for n copies in other different ways? Special Topics: U3. L3. Inv 1 Name: Homework: Math XL Unit 3 HW 9/28-10/2 (Due Friday, 10/2, by 11:59 pm) Lesson Target: Write multiple expressions to represent a variable quantity from a real world situation.

More information

Algebra I Module 2 Lessons 1 19

Algebra I Module 2 Lessons 1 19 Eureka Math 2015 2016 Algebra I Module 2 Lessons 1 19 Eureka Math, Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced, distributed, modified, sold,

More information

WIRE AND CABLE FIRE TESTS

WIRE AND CABLE FIRE TESTS TEST CSA C22.2 No 2556-13 Section 9.4 (FV-2/VW-1) (Small Scale Vertical) # OF VALUES REPORTED FOOTAGE REQUIRED 3 3 pieces: 24 each 5 7 days PERFORMANCE TIME CSA-FT1 (Small Scale Vertical) 3 5 pieces: 24

More information

8.3. Start Thinking! Warm Up. Find the area of the triangle Activity. Activity. 4 m. 14 in. 7 m. 9 in. 12 yd. 11 yd. 1 mm. 5.

8.3. Start Thinking! Warm Up. Find the area of the triangle Activity. Activity. 4 m. 14 in. 7 m. 9 in. 12 yd. 11 yd. 1 mm. 5. Activity Start Thinking! For use before Activity You know how to find the area of squares, rectangles, triangles, trapezoids, and parallelograms. Describe three different methods you could use to estimate

More information

How can you determine the amount of cardboard used to make a cereal box? List at least two different methods.

How can you determine the amount of cardboard used to make a cereal box? List at least two different methods. Activity Start Thinking! For use before Activity How can you determine the amount of cardboard used to make a cereal box? List at least two different methods. Activity Warm Up For use before Activity Evaluate

More information

7.4 Applications of Linear Systems

7.4 Applications of Linear Systems 7.4 Applications of Linear Systems 1. Anthony and Anne bought some pens and pencils. Anthony bought 4 pens and 5 pencils, which cost him $6.71. Anne bought 5 pens and 3 pencils, which cost her $7.12. Let

More information

Overview. Teacher s Manual and reproductions of student worksheets to support the following lesson objective:

Overview. Teacher s Manual and reproductions of student worksheets to support the following lesson objective: Overview Lesson Plan #1 Title: Ace it! Lesson Nine Attached Supporting Documents for Plan #1: Teacher s Manual and reproductions of student worksheets to support the following lesson objective: Find products

More information

Unit 4 Proportional Reasoning: Ratio, Rate, and Proportion

Unit 4 Proportional Reasoning: Ratio, Rate, and Proportion Unit 4 Proportional Reasoning: Ratio, Rate, and Proportion Lesson Outline BIG PICTURE Students will: solve problems involving proportional reasoning. Grade 9 Applied Math Learning Goals Investigate ratio

More information

Annual Conference Proceedings Author s Guide to Preparing a Manuscript

Annual Conference Proceedings Author s Guide to Preparing a Manuscript Annual Conference Proceedings Author s Guide to Preparing a Manuscript Congratulations on being selected to prepare a paper for the AREMA Annual Conference Proceedings. AREMA s Conference Proceedings and

More information

7 th Grade 20 Day Homework Day 1

7 th Grade 20 Day Homework Day 1 7 th Grade 20 Day Homework Day 1 1) Two hundred and twenty people applied to work at Ernest Educational Concepts. After Ms. Ernest reviewed their applications, one-fourth of the people could not pass the

More information

Trimester 2 5 th Grade Name: Answer Key

Trimester 2 5 th Grade Name: Answer Key Trimester 2 th Grade Name: Answer Key..NBT.7 Fiona hiked along a trail in Glacier National Park that is 7.2 miles long. It took her hours to hike. What was her average speed per hour? 7.2 / =.3 (miles

More information

Creating Color Combos

Creating Color Combos THE 2016 ROSENTHAL PRIZE for Innovation in Math Teaching Creating Color Combos Visual Modeling of Equivalent Ratios Traci Jackson Lesson Plan Grades 5-6 Table of Contents Creating Color Combos: Visual

More information

GCSE MARKING SCHEME AUTUMN 2017 GCSE MATHEMATICS NUMERACY UNIT 1 - INTERMEDIATE TIER 3310U30-1. WJEC CBAC Ltd.

GCSE MARKING SCHEME AUTUMN 2017 GCSE MATHEMATICS NUMERACY UNIT 1 - INTERMEDIATE TIER 3310U30-1. WJEC CBAC Ltd. GCSE MARKING SCHEME AUTUMN 2017 GCSE MATHEMATICS NUMERACY UNIT 1 - INTERMEDIATE TIER 3310U30-1 INTRODUCTION This marking scheme was used by WJEC for the 2017 examination. It was finalised after detailed

More information

PT-LB300 S P E C F I L E. LCD Projectors. As of April Specifications and appearance are subject to change without notice. 1/8.

PT-LB300 S P E C F I L E. LCD Projectors. As of April Specifications and appearance are subject to change without notice. 1/8. S P E C F I L E Product Number : Product Name : As of April 2014. Specifications and appearance are subject to change without notice. 18 Specifications Main unit Power supply Power consumption LCD panel

More information

Sandwich. Reuben BLT. Egg salad. Roast beef

Sandwich. Reuben BLT. Egg salad. Roast beef 3.2 Writing Expressions represents an unknown quantity? How can you write an expression that 1 ACTIVITY: Ordering Lunch Work with a partner. You use a $20 bill to buy lunch at a café. You order a sandwich

More information

Five Senses Apple Investigation

Five Senses Apple Investigation Five Senses Apple Investigation A lesson from the New Jersey Agricultural Society Learning Through Gardening Program OVERVIEW: Fall is the time to investigate apples! In this lesson, students learn that

More information

PT-TW340 S P E C F I L E. LCD Projectors. As of May Specifications and appearance are subject to change without notice. 1/8.

PT-TW340 S P E C F I L E. LCD Projectors. As of May Specifications and appearance are subject to change without notice. 1/8. S P E C F I L E Product Number : Product Name : LCD Projectors As of May 2014. Specifications and appearance are subject to change without notice. 18 Specifications Main unit Power supply Power consumption

More information

Human Number Line. Introduction to Negative Numbers

Human Number Line. Introduction to Negative Numbers Human Number Line Introduction to Negative Numbers 1 WARM UP Plot each number on a number line. Then, insert a. or, symbol to make each inequality statement true. 0 1 2 3 4 5 6 7 8 9 10 1. 3 4 1 1 2 2.

More information

PT-LW330 S P E C F I L E. LCD Projectors. As of April Specifications and appearance are subject to change without notice. 1/9.

PT-LW330 S P E C F I L E. LCD Projectors. As of April Specifications and appearance are subject to change without notice. 1/9. S P E C F I L E Product Number : Product Name : LCD Projectors As of April 2014. Specifications and appearance are subject to change without notice. 19 Specifications Main unit Power supply Power consumption

More information

Relationships Between Quantitative Variables

Relationships Between Quantitative Variables Chapter 5 Relationships Between Quantitative Variables Three Tools we will use Scatterplot, a two-dimensional graph of data values Correlation, a statistic that measures the strength and direction of a

More information

Wall Plate HDMI over CAT5 Extender with Power Over Cable 1080p 165ft (50m)

Wall Plate HDMI over CAT5 Extender with Power Over Cable 1080p 165ft (50m) Wall Plate HDMI over CAT5 Extender with Power Over Cable 1080p 165ft (50m) Product ID: ST121HDWP The ST121HDWP HDMI over CAT5 Extender Wall Plate Kit lets you extend your HDMI audio/video up to 165 feet

More information

3/31/2014. BW: Four Minute Gridding Activity. Use a pencil! Use box # s on your grid paper.

3/31/2014. BW: Four Minute Gridding Activity. Use a pencil! Use box # s on your grid paper. Monday, /1 You Need: On your desk to be checked during bellwork: Extra Credit Assignment if you did it Math Notebook Table of Contents Assignment Title # 9 Bellwork /17-/20 40 4.2 Rates 41 4.2 Practice

More information

Linear programming is a quantitative technique that can optimally allocate

Linear programming is a quantitative technique that can optimally allocate Linear Programming CHAPTER 26 Linear programming is a quantitative technique that can optimally allocate an agency s resources under conditions of certainty. The agency may be in the public or nonprofi

More information

Limited Reproduction limited to the teacher

Limited Reproduction limited to the teacher The Authors: 1 Steve Marcy and Janis Marcy Santa Monica-Malibu Unified School District Limited Reproduction limited to the teacher school or school Permission to duplicate these materials is purchased.

More information

Objective: Write on the goal/objective sheet and give a before class rating. Determine the types of graphs appropriate for specific data.

Objective: Write on the goal/objective sheet and give a before class rating. Determine the types of graphs appropriate for specific data. Objective: Write on the goal/objective sheet and give a before class rating. Determine the types of graphs appropriate for specific data. Khan Academy test Tuesday Sept th. NO CALCULATORS allowed. Not

More information

PT-TX400 S P E C F I L E. LCD Projectors. As of December Specifications and appearance are subject to change without notice.

PT-TX400 S P E C F I L E. LCD Projectors. As of December Specifications and appearance are subject to change without notice. S P E C F I L E Product Number : Product Name : LCD Projectors As of December 2015. Specifications and appearance are subject to change without notice. 18 Specifications Main unit Power supply Power consumption

More information

Relationships. Between Quantitative Variables. Chapter 5. Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc.

Relationships. Between Quantitative Variables. Chapter 5. Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc. Relationships Chapter 5 Between Quantitative Variables Copyright 2006 Brooks/Cole, a division of Thomson Learning, Inc. Three Tools we will use Scatterplot, a two-dimensional graph of data values Correlation,

More information

Rx antennas at IV3PRK: the 4-Square Rx Vertical Array

Rx antennas at IV3PRK: the 4-Square Rx Vertical Array Rx antennas at IV3PRK: the 4-Square Rx Vertical Array Part 6: From the homebuilt array to the K7TJR 4-square array with Hi-Z amplifiers by Pierluigi Luis Mansutti IV3PRK My 4-square Rx array is working

More information

MITOCW ocw f07-lec02_300k

MITOCW ocw f07-lec02_300k MITOCW ocw-18-01-f07-lec02_300k The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free.

More information

(8 Weeks = 40 School Days)

(8 Weeks = 40 School Days) (8 Weeks = 40 School Days) Miami-Dade County Public Schools The School Board of Miami-Dade County, FL Mr. Agustin J. Barrera, Chair Ms. Perla Tabares Hantman, Vice Chair Mr. Renier Diaz de la Portilla

More information

Summer School: 5 th Grade Math Common Core Activities. Name:

Summer School: 5 th Grade Math Common Core Activities. Name: Summer School: 5 th Grade Math Common Core Activities Name: 2- DIGIT SUBTRACTION 3- DIGIT SUBTRACTION 2- DIGIT ADDITION 3- DIGIT ADDITION 4- DIGIT ADDITION PLACE VALUE 5,788-7,342-71,975-5,863-450,555-32,534-12,364-23,954-24,889-5,788-5,360-71,475-850,555-932,534-88,342-283,954-172,364-183,924

More information

Product Number : LB303 Product Name : As of October Specifications and appearance are subject to change without notice.

Product Number : LB303 Product Name : As of October Specifications and appearance are subject to change without notice. S P E C F I L E Product Number : Product Name : LCD Projectors As of October 2016. Specifications and appearance are subject to change without notice. 18 Specifications Main unit Power supply Power consumption

More information

Proofs That Are Not Valid. Identify errors in proofs. Area = 65. Area = 64. Since I used the same tiles: 64 = 65

Proofs That Are Not Valid. Identify errors in proofs. Area = 65. Area = 64. Since I used the same tiles: 64 = 65 1.5 Proofs That Are Not Valid YOU WILL NEED grid paper ruler scissors EXPLORE Consider the following statement: There are tthree errorss in this sentence. Is the statement valid? GOAL Identify errors in

More information

Our Musical, Mathematical Brains Ideas to turn STEM to STEAM

Our Musical, Mathematical Brains Ideas to turn STEM to STEAM Debbie Char, St Louis Community College at Forest Park dchar@stlcc.edu Our Musical, Mathematical Brains Ideas to turn STEM to STEAM What you heard... Seasons of Love (the musical Rent) Upside Down, Inside

More information

DisplayPort Signal Booster - DP Extender - 4K 60Hz

DisplayPort Signal Booster - DP Extender - 4K 60Hz Signal Booster - DP Extender - 4K 60Hz Product ID: DPBOOST This signal booster lets you increase the signal strength of your DP video source using standard cables. You can achieve resolutions up to 4K

More information

3 Dimensional Cutouts

3 Dimensional Cutouts 3 Cutouts Free PDF ebook Download: 3 Cutouts Download or Read Online ebook 3 dimensional cutouts in PDF Format From The Best User Guide Database SUMMARY: Two kinds of 3 dimensional special assumed stress

More information

Student Name: Parent Signature:

Student Name: Parent Signature: Entering 5 th Grade Summer Packet Student Name: Parent Signature: Dear Parents, This packet is intended to help students stay strong in the academic material we have covered this year. It is an optional

More information

TeeJay Publishers. Curriculum for Excellence. Course Planner - Level 1

TeeJay Publishers. Curriculum for Excellence. Course Planner - Level 1 TeeJay Publishers Curriculum for Excellence Course Planner Level 1 To help schools develop their courses, TeeJay Publishers has produced a Course Planner for CfE Level 1. This Planner from TeeJay provides

More information

21 st Century Math Projects

21 st Century Math Projects Project Title : CSI Pre-Algebra: Operations & Expressions Standard Focus: Number Sense and Operations Time Range : 1-3 Days Supplies : Pencil and Paper Topics of Focus : - Order of Operations - Integer

More information

Open Number Line Mats

Open Number Line Mats Open Number Line Mats Congratulations on your purchase of these Really Good Stuff Open Number Line Mats a versatile and open-ended tool for solving a variety of addition and subtraction problems. This

More information

FVX200 Anamorphic Lens System

FVX200 Anamorphic Lens System FVX200 Anamorphic Lens System IF YOUR IDEA OF GOING TO THE MOVIES IS The adrenaline rush The thrill of the chase The intensity of drama unfolding The escape that only your favorite movies can bring Perfectly

More information

Lesson 10. Here are the first two worked out.

Lesson 10. Here are the first two worked out. Lesson 10 This page is on word problems. They will be using multiplication, division, addition, and subtraction. They will need to take multiple steps to find the answer to the question. They could use

More information

Graphic standards for the Electric Circuit logo

Graphic standards for the Electric Circuit logo Graphic standards for the Electric Circuit logo January 2017 Official logo versions and colors The elements of the logo form a whole: the shapes, colors, proportions and locations of these elements may

More information

Ratios. How are the numbers in each ad compared? Which ads are most effective?

Ratios. How are the numbers in each ad compared? Which ads are most effective? 5 and part to part, part to whole versions of ratios There are different ways to compare numbers. Look @ these advertisments. How are the numbers in each ad compared? Which ads are most effective? 1 5

More information

EIGHTH GRADE RELIGION

EIGHTH GRADE RELIGION EIGHTH GRADE RELIGION MORALITY ~ Your child knows that to be human we must be moral. knows there is a power of goodness in each of us. knows the purpose of moral life is happiness. knows a moral person

More information