7.7 Converting Customary Units

Size: px
Start display at page:

Download "7.7 Converting Customary Units"

Transcription

1 7.7 Converting Customary Units Introduction The Amazon Jacob is in Julie s class and he loves to play jokes. When he finds out that Julie is working on a rainforest project, he decides to play a joke on her. Since the Amazon River is a key part of the rainforest, Jacob focuses on this feature. Hey Julie, did you know that the Amazon River is twenty-one million, one hundred and twenty thousand feet long? Jacob asks, leaning on Julie s desk as she works. It is not, Julie says smiling. It is 4000 miles long. Those measurements are one and the same, Jacob says. Also, the Amazon is thirty-one thousand six hundred and eighty feet wide. That is not accurate, Julie says. It is 6 miles wide. Again, those are the same, Jacob says. Who is correct? Convert each measurement having to do with the Amazon and figure out whether Jacob or Julie is correct. What You Will Learn By the end of this lesson, you will be able to complete the following: Convert customary units of measure using multiplication. Convert customary units of measure using division. Add and subtract customary units of measure. Solve real-world problems involving customary units of measure. Teaching Time I. Convert Customary Units of Measure Using Multiplication In our last lesson, we began looking at equivalent units of measure. We did some conversions of customary units of measure involving weight and capacity. In this lesson, we are going to expand on what we just learned. Let s look at converting units of measure using multiplication. 513

2 7.7. Converting Customary Units Why do we multiply when converting customary units of measure? When converting customary units of measure from a large unit to a smaller unit, we multiply. You may already be wondering why we need to multiply as opposed to some other operation. The key is that a large unit is going to be a smaller number than a smaller unit. Let s think about money to demonstrate this. 100 pennies = 1 dollar There are 100 pennies in one dollar. The penny is a smaller unit, so we need more of them to equal one of a large unit, the dollar. The same is true when working with length, weight and capacity. We need more of a smaller unit to equal a larger unit. When we multiply, we are working with groups. To convert from a larger unit to a smaller unit, we multiply to change the larger unit to its smaller equivalent unit. To work on this lesson, you will need to think back to all of the units of length, weight and capacity that we have previously learned about. John has a rope that is 10 feet long. How long is his rope in inches? Notice, we are going from feet to inches. A foot is larger than an inch. In fact a foot is equal to 12 inches. To solve this problem, we take the equivalent of one foot in inches and multiply it by the length of the rope in feet. This will give us the measurement in inches = 120 inches Our answer is 120 inches. Jason s baby brother drank 3 cups of milk. How many fluid ounces did he drink? Once again, we are going from a larger to a smaller unit. A cup is larger than a fluid ounce. There are 8 fluid ounces in one cup. If we multiply the number of cups times the number of fluid ounces in one cup, we will successfully convert to fluid ounces. 3 8 = 24 Our answer is 24 fluid ounces. Try a few of these conversions on your own tons = pounds 2. 5 feet = inches pints = cups Take a minute to check your work with a partner. Did you remember your conversion equivalents? II. Convert Customary Units of Measure Using Division When converting from a larger unit to a smaller unit, we multiplied. When converting from a smaller unit to a larger unit, we divide by an equivalent unit. Let s look at the pennies again. 514

3 5000 pennies = dollars We know that there are 100 pennies in one dollar. This is the equivalent unit. If we divide 5000 by 100, we will have the number of dollars = 50 dollars Our answer is 50 dollars. Let s apply this to our work with measurement. Remember to think about the equivalent units of length, capacity and weight when dividing pounds = tons A pound is smaller than a ton so we divide. There are 2000 pounds in 1 ton, that is our equivalent unit. We divide 5500 by = 2.75 or tons Our answer is 2.75 or tons. Take this information and apply it when converting the following units of measure inches = feet cups = pints pounds = tons Take a few minutes to check your work. III. Add and Subtract Customary Units of Measure We use customary units of measure every day. We can measure when cooking, we can measure when building, we can measure when carrying or moving things. Commonly, we need to add and subtract customary units of measure. Let s think about this by using an example. Jeff s van can hold 2000 pounds. He wants to move 1 2 ton of wood. Then his friend gives him another 500 pounds of wood. Can Jeff carry all of this in his truck or will he need to make two trips? 515

4 7.7. Converting Customary Units This problem involves some conversions and some addition. We know that 2000 pounds is equal to one ton. Jeff is going to move 1 2of a ton first, so that is equal to 1000 pounds. Then he is given another 500 pounds = 1500 pounds of wood Jeff s truck can hold 2000 pounds, so Jeff can carry all the wood in one trip = 500 There is also a difference of 500 pounds between the weight that the truck can hold and the weight of the wood. This problem was simple addition and subtraction. Sometimes, we will need to convert units from smaller to larger too. Mary is making four cakes. One cake requires 2 cups of milk. How many pints of milk will Mary need for the four cakes? First, we need to figure out how many cups she needs for four cakes. Then we can convert the cups to pints. We begin by adding = 8 cups There are 2 cups in one pint. Mary will need 4 pints of milk because 8 divided by 2 is four. It makes more sense for Mary to use quarts because 2 quarts is equal to four pints. When working with real life problems, we will often use adding, subtracting, multiplying and dividing to figure out measurements. Always keep the equivalent unit in mind as you work and you will figure out the accurate measurement needed. Real Life Completed The Amazon Now that you have learned all about conversions, it is time to figure out who is correct. Here is the problem once again. Start by underlining all of the important information. Jacob is in Julie s class and he loves to play jokes. When he finds out that Julie is working on a rainforest project, he decides to play a joke on her. Since the Amazon River is a key part of the rainforest, Jacob focuses on this feature. Hey Julie, did you know that the Amazon River is twenty-one million, one hundred and twenty thousand feet long? Jacob asks, leaning on Julie s desk as she works. It is not, Julie says smiling. It is 4000 miles long. 516

5 Those measurements are one and the same, Jacob says. Also, the Amazon is thirty-one thousand six hundred and eighty feet wide. That is not accurate, Julie says. It is 6 miles wide. Again, those are the same, Jacob says. Who is correct? Convert each measurement having to do with the Amazon and figure out whether Jacob or Julie is correct. We need to figure out the measure of the length and width of the Amazon in feet and miles. There are 5,280 feet in one mile miles = feet To go from a large unit to a smaller unit, we multiply, ,280 = 21,120,000 ft. Jacob is right on this one-the two measures are the same. Next, let s figure out the width. 6 miles = feet 6 5,280 = 31,680 feet Jacob is right on this one too!! Vocabulary In this lesson, you will see and use the following vocabulary words. Equivalent equal amount or unit Length measuring how long something is-customary units are inches, feet, yards and miles Weight measuring how heavy something is-customary units are ounces, pounds and tons. Capacity measuring how much liquid something can hold-customary units are fluid ounces, cups, pints, quarts and gallons. Resources Here are a few websites where you can read about the Amazon River

6 7.7. Converting Customary Units Technology Integration MEDIA Click image to the left for more content. KhanAcademyConverting Pounds to Ounces MEDIA Click image to the left for more content. Converting CustomaryUnits MEDIA Click image to the left for more content. James Sousa Converting CustomaryUnits Time to Practice Directions: Convert the following larger units of measure to a smaller unit of measure tons = pounds 2. 6 feet = inches 3. 9 tons = pounds 4. 8 pounds = ounces feet = inches tons = pounds pounds = ounces 8. 9 cups = fl. oz. 518

7 9. 5 pints = cups pints = cups quarts = pints quart = pints gallons = quarts gallons = quarts Directions: Convert each smaller unit of measure to its larger equivalent using division quarts = gallons inches = feet inches = feet quarts = gallons pints = quarts pints = quarts quart = gallon Directions: Add or subtract the following units and convert to a larger or smaller unit as needed cup + 5 cups = cups = pints inches + 18 inches = inches = ft pounds pounds = pounds = tons tons + 4 tons = tons = pounds 519

Convert Units of Length

Convert Units of Length Lesson 6. Convert Units of Length To convert a unit of measure, multiply by a conversion factor. A conversion factor is a rate in which the two quantities are equal, but are expressed in different units.

More information

Reteach. Teacher Edition. Chapter 11. Grade 4

Reteach. Teacher Edition. Chapter 11. Grade 4 Reteach Teacher Edition Chapter 11 Grade 4 Lesson 1 Reteach Customary Units of Length The table below shows the different customary units of length and the tools used to measure each unit. Customary Units

More information

Converting Customary Units

Converting Customary Units Convert. Practice A Converting Customary Units 1. 1 yard = feet 2. 1 mile = yards 3. 1 pound = ounces 4. 1 ton = pounds 5. 1 pint = cups 6. 1 quart = pints 7. 1 quart = cups 8. 1 gallon = quarts 9. 24

More information

Before we begin, let us recall some important information about the metric measuring system.

Before we begin, let us recall some important information about the metric measuring system. Before we begin, let us recall some important information about the metric measuring system. To convert from a larger to smaller metric unit you always multiply. To convert from a smaller to larger unit

More information

Lesson 12.1 Skills Practice

Lesson 12.1 Skills Practice Lesson 12.1 Skills Practice Name Date Customary to Whom? Customary Measurement Vocabulary Match each definition to its corresponding term. 1. to change a measurement to an equivalent measurement in different

More information

Name: Section: 4A 4B 4C 4D 4E

Name: Section: 4A 4B 4C 4D 4E Name: Section: 4A 4B 4C 4D 4E Homework Hello Scholars and Parents. We will continue with Chapter 12 this week focusing on Measurements. Scholars will compare and convert metric units of length, weight

More information

Example 1 Add mixed measures.

Example 1 Add mixed measures. Name Mixed Measures Essential Question How can you solve problems involving mixed measures? Lesson 12.10 Measurement and Data 4.MD.A.2 Also 4.MD.A.1 MATHEMATICAL PRACTICES MP1, MP2, MP8 Unlock the Problem

More information

The Right Tool for the Job

The Right Tool for the Job 65 The Right Tool for the Job Tool yardstick, meterstick, inch ruler, odometer, pan balance, measuring cup, metric ruler, scale, eyedropper Unit inch, gram, ounce, centimeter, foot, kilogram, pound, mile,

More information

Customary Units of Length

Customary Units of Length Lesson 12.1 Name Measurement Benchmarks You can use benchmarks to estimate measurements. The chart shows benchmarks for customary units of measurement. Benchmarks for Some Customary Units CUP 1 ft 1 foot

More information

Converting Between Measurement Systems. ESSENTIAL QUESTION How can you use ratios and proportions to convert measurements? 7.4.E

Converting Between Measurement Systems. ESSENTIAL QUESTION How can you use ratios and proportions to convert measurements? 7.4.E LESSON 3.1 Converting Between Measurement Systems Proportionality 7.4.E Convert between measurement systems, including the use of proportions and the use of unit rates. Also 7.4.D? ESSENTIAL QUESTION How

More information

6.3 Unit Conversion: American System

6.3 Unit Conversion: American System 6.3. UNIT CONVERSION: AMERICAN SYSTEM 467 6.3 Unit Conversion: American System In this section we will develop a technique for converting units used in the American system. We begin with a discussion of

More information

Math 15 Test 3 Review Section Change 4.5 yards to inches. Round your answer to the nearest inch. (1 yd = 3 ft, 1 ft = 12 in)

Math 15 Test 3 Review Section Change 4.5 yards to inches. Round your answer to the nearest inch. (1 yd = 3 ft, 1 ft = 12 in) Page 1 Math 15 Section 6.3 18. Change 4.5 yards to inches. Round your answer to the nearest inch. (1 yd = 3 ft, 1 ft = 12 in) 30. Change 528 inches to feet. (1 ft = 12 in) 42. Change 3 1/16 pounds to ounces.

More information

Greenwood International School. Grade 4

Greenwood International School. Grade 4 Greenwood International School Math Revision Term 1 Grade 4 Name: Section: Date: 1. a- Which state had a population of eight hundred four thousand, one hundred ninety-four? b- What is the value of the

More information

USEFUL RELATIONSHIPS

USEFUL RELATIONSHIPS Use the chart below for the homework problems in this section. USEFUL RELATIONSHIPS U.S. Customary 12 in. = 1 ft 3 ft = 1 yd 280 ft = 1 mi 16 oz = 1 lb 2000 lbs = 1 T 8 fl oz = 1 c 2 c = 1 pt 2 pts = 1

More information

Constructing Task: Water Balloon Fun!

Constructing Task: Water Balloon Fun! Constructing Task: Water Balloon Fun! STANDARDS FOR MATHEMATICAL CONTENT MCC4.MD.1. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min,

More information

6.7 Box-and-Whisker Plots

6.7 Box-and-Whisker Plots www.ck12.org Chapter 6. Addition and Subtraction of Fractions 6.7 Box-and-Whisker Plots Introduction Homes for Sale On Thursday, a real estate agent came to visit the construction site. She spent a long

More information

Name: Section: Tuesday February 14 th 12.8 (2 pages) Wednesday February 15 th Conversion Worksheets (2 pages) Thursday February 16 th 12.

Name: Section: Tuesday February 14 th 12.8 (2 pages) Wednesday February 15 th Conversion Worksheets (2 pages) Thursday February 16 th 12. Homework Hello Students and Parents. We will continue Chapter 12 this week, Measurements. Students will use models to compare metric units of length, weight and volume. Students will use models to compare

More information

Mathematics Spiral Review Quarter 1.1 Grade 5

Mathematics Spiral Review Quarter 1.1 Grade 5 Mathematics Spiral Review Quarter 1.1 Basic Computation (4.NBT.4) 378 + 1,761 = Write 538 using number names and expanded form. Estimation (4.NBT.3) Round to the nearest hundred: 329 6,582 Skill of the

More information

Fourth Grade. Slide 1 / 100. Slide 2 / 100. Slide 3 / 100. Measurement and Data. Table of Contents Click on a topic to go to that section.

Fourth Grade. Slide 1 / 100. Slide 2 / 100. Slide 3 / 100. Measurement and Data. Table of Contents Click on a topic to go to that section. Slide 1 / 100 Slide 2 / 100 Fourth Grade Measurement and Data 2015-11-23 www.njctl.org Table of Contents Click on a topic to go to that section Slide 3 / 100 Line Plots Measurement Systems Conversion of

More information

Fourth Grade Measurement and Data

Fourth Grade Measurement and Data Slide 1 / 100 Slide 2 / 100 Fourth Grade Measurement and Data 2015-11-23 www.njctl.org Slide 3 / 100 Table of Contents Click on a topic to go to that section Line Plots Measurement Systems Conversion of

More information

Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.

Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide. Name Score Math Course 1 1B 1. Use the numbers 5, 11, and 16 to make two addition facts and two subtraction facts. 11 + 12 12 + 12 12 12 12 12 2. Use the numbers 4, 16, and 64 to make two multiplication

More information

Introduction to Measurement Developing Standard and Metric Measuring Skills

Introduction to Measurement Developing Standard and Metric Measuring Skills Introduction to Measurement Developing Standard and Metric Measuring Skills Design and Modeling 2011 Project Lead The Way, Inc. Why Learn to Measure? Valuable skill for a job Valuable skill for hobbies

More information

REVIEW TEST Find the least common multiple (LCM) of the numbers 4, 18. A) 4 B) 2 C) 72 D) 1 E) 36

REVIEW TEST Find the least common multiple (LCM) of the numbers 4, 18. A) 4 B) 2 C) 72 D) 1 E) 36 REVIEW TEST 2. Find the least common multiple (LCM) of the numbers, 8. 2 72 6 2. Find the least common multiple (LCM) of the numbers 2, 20. 20 60 2. Find the greatest common factor (GCF) of the numbers,

More information

UNIT PLAN. Grade Level: 3 Unit #: 4-2 Measurement: Length, Volume, Mass, & Equivalencies

UNIT PLAN. Grade Level: 3 Unit #: 4-2 Measurement: Length, Volume, Mass, & Equivalencies UNIT PLAN Grade Level: 3 Unit #: 4-2 Unit Name Measurement: Length, Volume, Mass, & Equivalencies Big Idea/Theme: Measurement is used to effectively communicate a common language of numerical information.

More information

Decimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.

Decimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number. Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 8.09 In a whole number the decimal point is all the way to the right, even if it is not shown in

More information

English Measure Card 1. English Measure. Card 2. English Measure Card 4. English Measure. Card 3

English Measure Card 1. English Measure. Card 2. English Measure Card 4. English Measure. Card 3 150 27 48 9 4 1000 180 2 5 64 80 52 128 300 33 12 15 18 80 36 24 20 Card 1 2000 14 27 120 Card 2 104 365 365 7 5280 84 16 21 10 4 20 300 90 1 5 36 40 16 3 28 48 60 60 1 5280 10 80 33 104 18 2000 28 90

More information

Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in He swam 3,000 yards in 30 minutes.

Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in He swam 3,000 yards in 30 minutes. Rate Conversions Lesson 1.5 Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in 2006. He swam 3,000 yards in 30 minutes. 30 3000 yards Jeremy found his rate of speed in yards per minute.

More information

Math Study Guide Inches Feet Yards Miles

Math Study Guide Inches Feet Yards Miles Math Study Guide Inches Feet Yards Miles If looking for a ebook Math study guide inches feet yards miles in pdf form, then you have come on to correct site. We presented the complete option of this book

More information

Name Date Class Practice A. 1. Bethany s dog eats 450 grams of food per day. Find this rate in kilograms per week.

Name Date Class Practice A. 1. Bethany s dog eats 450 grams of food per day. Find this rate in kilograms per week. Practice A 1. Bethany s dog eats 450 grams of food per day. Find this rate in kilograms per week. 2. Grace runs 3 miles a day. Find this rate in feet per day. 3. Jefferson drinks 10 cups of orange juice

More information

LESSON 9 - PRACTICE PROBLEMS

LESSON 9 - PRACTICE PROBLEMS LESSON 9 - PRACTICE PROBLEMS 1. Complete each of the following showing as much work as possible. a. Does it take more cups or gallons to measure the amount of water in a large pot? Explain. b. The lifespan

More information

c) How much will Carrie pay for flooring her room that is 16ft by 20ft if flooring costs $12.95 / square yd? Area of room: 16 20

c) How much will Carrie pay for flooring her room that is 16ft by 20ft if flooring costs $12.95 / square yd? Area of room: 16 20 Course: MFM2P Gr. 10 Applied Lesson: 1-2 Unit: Measurement Systems and Similar Triangles Topic: Measure homework check: Lesson 1-1 note: Measure The metric system is Canada s official measurement system

More information

Year 9 notes part 5. Contents

Year 9 notes part 5. Contents Year 9 notes part 5 nb: In lessons we leave imperial and compound units until after the area and volume calculations. For ease of revision, I have included all the unit material here and put the area and

More information

TIME MEASUREMENT. A 90 minutes B 180 minutes C 2 hours 30 minutes D 3 hours. + 2 hours +45 min. +15 min.

TIME MEASUREMENT. A 90 minutes B 180 minutes C 2 hours 30 minutes D 3 hours. + 2 hours +45 min. +15 min. TIME MEASUREMENT Eample: The McMillians are going to visit their grandparents. They leave their home at a quarter after eleven in the morning. They arrive at their grandparents fifteen minutes after two

More information

Fourth Grade. Line Plots. Slide 1 / 100 Slide 2 / 100. Slide 4 / 100. Slide 3 / 100. Slide 6 / 100. Slide 5 / 100. Measurement and Data

Fourth Grade. Line Plots. Slide 1 / 100 Slide 2 / 100. Slide 4 / 100. Slide 3 / 100. Slide 6 / 100. Slide 5 / 100. Measurement and Data Slide 1 / 100 Slide / 100 Fourth Grade Measurement and ata 015-11-3 www.njctl.org Slide 3 / 100 Slide 4 / 100 Table of ontents lick on a topic to go to that section Line Plots Measurement Systems onversion

More information

Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.

Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide. Name Score Math Course 1 1A 1. Use the numbers 6, 12, and 18 to make two addition facts and two subtraction facts. 12 + 12 12 + 12 12 12 12 12 2. Use the numbers 5, 15, and 75 to make two multiplication

More information

Unit Rates and Conversions

Unit Rates and Conversions I. Converting Within Systems A. Complete each customary measurement conversion. 1. There are 4 quarts in 1 gallon. How many quarts are in 4 gallons? 2. There are 16 ounces in 1 pound. How many pounds are

More information

A.M. The time between 12:00 midnight and 12:00 noon. Houghton Mifflin Co. 1 Grade 4 Unit 5

A.M. The time between 12:00 midnight and 12:00 noon. Houghton Mifflin Co. 1 Grade 4 Unit 5 A.M. The time between 12:00 midnight and 12:00 noon. Houghton Mifflin Co. 1 Grade 4 Unit 5 bar graph A graph in which information is shown by means of rectangular bars. Favorite Sea Creature Sea Creature

More information

Mathematics in Contemporary Society Chapter 9

Mathematics in Contemporary Society Chapter 9 City University of New York (CUNY) CUNY Academic Works Open Educational Resources Queensborough Community College Fall 2015 Mathematics in Contemporary Society Chapter 9 Patrick J. Wallach Queensborough

More information

6th Grade. Ratios, Proportions & Percents.

6th Grade. Ratios, Proportions & Percents. 1 6th Grade Ratios, Proportions & Percents 2015 11 16 www.njctl.org 2 Table of Contents Writing Ratios Equivalent Ratios Rates & Unit Rates Using Ratios to Convert Measurements Converting Unit Ratios Percents

More information

Student Answer Document STAAR Practice Test, Form A

Student Answer Document STAAR Practice Test, Form A STAAR Practice Test, Form A 1 Student Answer Document STAAR Practice Test, Form A. 1 5 7 9 1 5 7 9 1 5 7 9 Sample B. 1 5 7 9 1 5 7 9 1 5 7 9. 1 5 7 9 1 5 7 9 1 5 7 9 1. 1 5 7 9 1 5 7 9 1 5 7 9 7 Sample

More information

Measurement Study Guide

Measurement Study Guide Name Test Date Thursday, 5/7/15 Parent Signature Measurement Study Guide Treat this as a test! Answers will be posted on website for parents! 1 foot = 12 inches 1 pound = 16 ounces 1 cup = 8 fluid ounces

More information

5th Grade Decimal Concepts

5th Grade Decimal Concepts Slide 1 / 192 Slide 2 / 192 5th Grade Decimal Concepts 2015-11-16 www.njctl.org Slide 3 / 192 Table of Contents What is a Decimal? Click on a topic to go to that section. Identify Place Values Read and

More information

5th Grade. Slide 1 / 192. Slide 2 / 192. Slide 3 / 192. Decimal Concepts. Table of Contents

5th Grade. Slide 1 / 192. Slide 2 / 192. Slide 3 / 192. Decimal Concepts. Table of Contents Slide 1 / 192 Slide 2 / 192 5th Grade Decimal Concepts 2015-11-16 www.njctl.org Table of Contents Slide 3 / 192 What is a Decimal? Click on a topic to go to that section. Identify Place Values Read and

More information

June 2, 2016 SS. Today we will continue conversions! Warm Up First! There are how many hours in 7 days? 8 11Dimensional Analysis Day 2.

June 2, 2016 SS. Today we will continue conversions! Warm Up First! There are how many hours in 7 days? 8 11Dimensional Analysis Day 2. June 2, 2016 SS Today we will continue conversions! Warm Up First! There are how many hours in 7 days? Aug 25 10:44 PM 1 Today's Standards NQ1. Use units as a way to understand problems and to guide the

More information

MATH GRADE 6 UNIT 6 RATE ANSWERS FOR EXERCISES

MATH GRADE 6 UNIT 6 RATE ANSWERS FOR EXERCISES MATH GRADE 6 UNIT 6 RATE FOR EXERCISES LESSON 2: PRICE AS A RATE 1. $6.25 2. $.625, or $.63 3. $5.25 4. $.3125, or $.31 5. a. $2.5 b. $13.75 6. a. Amount (pt) 1 2 3 4 5 6 Cost non-organic ($) $.75 $1.5

More information

Monday Tuesday Wednesday Thursday

Monday Tuesday Wednesday Thursday Name: Weekly Homework Sheet Q: Date: Monday Tuesday Wednesday Thursday What is the VALUE of the underlined digit?,,0,,,, Write,000, in each form. Word: Expanded:,, Round,, to the nearest 00:,000: 0,000:,00,

More information

Activity One. 1 cm = mm 5 ft = in 6 yds = ft. 2 lbs = oz 5 g = mg 160 oz = lbs. 5 L = ml 6 quarts = pints 5 gallons = quarts

Activity One. 1 cm = mm 5 ft = in 6 yds = ft. 2 lbs = oz 5 g = mg 160 oz = lbs. 5 L = ml 6 quarts = pints 5 gallons = quarts Activity One 1a) Conversions 1 cm = mm 5 ft = in 6 yds = ft 2 lbs = oz 5 g = mg 160 oz = lbs 5 L = ml 6 quarts = pints 5 gallons = quarts b) Choose the correct answer Which measurement is closest to 3

More information

Combining Unlike Integers

Combining Unlike Integers Math, Lesson Lesson pp. 8- Lesson Preparation Drill Do Speed Drill and write the number correct in the blank. Speed Drill Combining Unlike Integers Unlike integers are both positive and negative numbers

More information

RATES AND RATIOS WITH COMPLEX FRACTIONS. Complex Fractions. Fraction in the denominator

RATES AND RATIOS WITH COMPLEX FRACTIONS. Complex Fractions. Fraction in the denominator RATES AND RATIOS WITH COMPLEX FRACTIONS LESSON.6 A complex fraction is a fraction that contains a fractional expression in its numerator, denominator or both. The following are examples of complex fractions.

More information

7,894 4, , = 503 x 4 = =

7,894 4, , = 503 x 4 = = Summer Math Journal Week 1 Note to parents: The success of this summer program depends on your help. Please check your child s work when completed. Place Value Round the following numbers to the nearest

More information

Part 1 No Calculator

Part 1 No Calculator Part 1 No Calculator 1. Which of the following has a value equal to 32 divided by 10? 4. Look at the problem below. Which expression can be used to check the answer? 914 r 2 6 5486 2 914 2 6 914 2 6 914

More information

Unit 1 Units of Measure

Unit 1 Units of Measure MODULE 4: Measuring Around Us Unit Units of Measure. Estimating Metric Units of Length, Mass and Capacity The objectives of this section are to estimate metric lengths, mass and capacity. It is very useful

More information

PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE

PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE LINEAR MEASURE In geometry, linear measure is the measure of distance. For instance, lengths, heights, and widths of geometric figures are distances,

More information

LEARNING OBJECTIVES. Overview of Lesson. guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work

LEARNING OBJECTIVES. Overview of Lesson. guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work D Rate, Lesson 1, Conversions (r. 2018) RATE Conversions Common Core Standard N.Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units

More information

ASVAB Arithmetic Reasoning

ASVAB Arithmetic Reasoning ASVAB Arithmetic Reasoning Number: Arithmetic Reasoning Passing Score: 800 Time Limit: 120 min File Version: 1.0 Arithmetic Reasoning QUESTION 1 If there are 3 quarts of gas in a gallon container, how

More information

SECTION 1. READING AND WRITING NUMBERS PLACE VALUE

SECTION 1. READING AND WRITING NUMBERS PLACE VALUE Ten Millions Millions Hundred-thousands Ten-thousands Thousands Hundreds Tens Ones Decimal point Tenths Hundredths Thousandths Ten-thousandths Hundred-thousandths Millionths SECTION 1. READING AND WRITING

More information

Units of Measurement. Name Date Period Workbook Activity. Directions Circle the letter of the best answer. Chapter 8, Lesson 1 EXAMPLE

Units of Measurement. Name Date Period Workbook Activity. Directions Circle the letter of the best answer. Chapter 8, Lesson 1 EXAMPLE Chapter 8, Lesson 1 89 Units of Measurement Circle the letter of the best answer. Think about the meaning of the prefix. Convert from one unit of measurement to the other. 4 centimeters A 0.004 meter B

More information

Tennessee - Test P. Predictive Assessment See what they know. Teach what they need. *TNRC-MA04PG-001* Practice Example: M A T H

Tennessee - Test P. Predictive Assessment See what they know. Teach what they need. *TNRC-MA04PG-001* Practice Example: M A T H M A T H Tennessee - Test P Predictive Assessment See what they know. Teach what they need. Practice Example: Gr Frank has pairs of shoes. How many shoes does he have in all? Items -7 A B C D TN-TNRC-MA-P-G--_

More information

FOURTH GRADE MATHEMATICS UNIT 4 STANDARDS. MGSE.4.NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

FOURTH GRADE MATHEMATICS UNIT 4 STANDARDS. MGSE.4.NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Dear Parents, FOURTH GRADE MATHEMATICS UNIT 4 STANDARDS We want to make sure that you have an understanding of the mathematics your child will be learning this year. Below you will find the standards we

More information

Topic 3 Place Value. Exam Intervention Booklet

Topic 3 Place Value. Exam Intervention Booklet Topic 3 Place Value Exam Intervention Booklet Intervention Lesson F3 Reading and Writing 4-Digit Numbers 1. Write 2,537 in the place-value chart below. thousands hundreds tens ones 2. What place is the

More information

7 MEASURE. Before you start. Objectives

7 MEASURE. Before you start. Objectives 7 MEASURE In 1999, NASA spent $125 million on a space probe designed to orbit Mars. The mission ended in disaster after the probe steered too close to Mars and burned up whilst skimming the planet s thin

More information

Estimating Highway Maintenance Work 2008

Estimating Highway Maintenance Work 2008 Purdue University Purdue e-pubs Indiana Local Technical Assistance Program (LTAP) Publications Indiana Local Technical Assistance Program (LTAP) 5-2008 Estimating Highway Maintenance Work 2008 Ohio Department

More information

Copyright 2015 Edmentum - All rights reserved.

Copyright 2015 Edmentum - All rights reserved. Study Island Copyright 2015 Edmentum - All rights reserved. Generation Date: 05/25/2015 Generated By: Matthew Beyranevand Students Entering Grade 6 Part 1 Explanations Explanations 1. -- 2. Since there

More information

Chapter 5 Rate, Ratio and Proportion

Chapter 5 Rate, Ratio and Proportion Chapter 5 Rate, Ratio and Proportion Contents Chapter 5 Rate, Ratio and Proportion... 1 Introduction to Rates and Ratios... 3 Unit Prices Internet Activity... 4 Solving Proportion Problems... 5 Converting

More information

APPROVED FACILITY SCHOOLS CURRICULUM DOCUMENT SUBJECT: Mathematics GRADE: 6. TIMELINE: Quarter 1. Student Friendly Learning Objective

APPROVED FACILITY SCHOOLS CURRICULUM DOCUMENT SUBJECT: Mathematics GRADE: 6. TIMELINE: Quarter 1. Student Friendly Learning Objective TIMELINE: Quarter 1 i-ready lesson: Rational Numbers and Absolute Value i-ready lesson: Numerical Expressions and Order of Operations 6/16/15 1 i-ready lesson (2a, 2b and 2c): Algebraic Expressions 6/16/15

More information

Topic 1 Place Value. Name. Test Date

Topic 1 Place Value. Name. Test Date Topic 1 Place Value Name Test Date 1. Eli s family eats 1 _ 3 pizzas. Which 8 drawing has 1 _ 3 8 shaded? A Daily Common Core Review 1-1 3. Mr. Martin works 9 hours each day for 5 days. What is the total

More information

Part 1: Decimals. The decimal point separates the whole numbers from the fractional part of a

Part 1: Decimals. The decimal point separates the whole numbers from the fractional part of a Part 1: Decimals Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 1328. 1095 In a whole number the decimal point is all the way to the right, even

More information

Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

More information

9.3 Histograms and Box Plots

9.3 Histograms and Box Plots Name Class Date 9.3 Histograms and Box Plots Essential Question: How can you interpret and compare data sets using data displays? Explore Understanding Histograms Resource Locker A histogram is a bar graph

More information

Factor. Decimal Concepts. 3 Examples/ Counterexamples. What is a Decimal? Vocab Word. Slide 2 / 192. Slide 1 / 192. Slide 3 / 192.

Factor. Decimal Concepts. 3 Examples/ Counterexamples. What is a Decimal? Vocab Word. Slide 2 / 192. Slide 1 / 192. Slide 3 / 192. Slide 1 / 192 Slide 2 / 192 New Jersey enter for Teaching and Learning Progressive Mathematics Initiative 5th Grade This material is made freely available at www.njctl.org and is intended for the non-commercial

More information

Lesson 1.1 Imperial Measures of Length Exercises (pages 11 12) a) Foot; because my desk is higher than 1 ft., but not as high as 1 yd.

Lesson 1.1 Imperial Measures of Length Exercises (pages 11 12) a) Foot; because my desk is higher than 1 ft., but not as high as 1 yd. Lesson 1.1 Imperial Measures of Length Exercises (pages 11 1) A 3. Answers may vary. For example: a) Foot; because my desk is higher than 1 ft., but not as high as 1 yd. b) Inch; because a mattress is

More information

Hello Students and Parents. We will complete Chapter 12 this week. There is a Chapter 12 Test on Friday February 12, 2016.

Hello Students and Parents. We will complete Chapter 12 this week. There is a Chapter 12 Test on Friday February 12, 2016. Homework Hello Students and Parents. We will complete Chapter 12 this week. There is a Chapter 12 Test on Friday 12, 2016. i-ready All students need to complete 2 lessons of MATH i-ready per week for a

More information

Chapter 12 Review/Test

Chapter 12 Review/Test Name Chapter 12 Review/Test Personal Math Trainer Online Assessment and Intervention 1. Mrs. Miller wants to estimate the width of the steps in front of her house. Select the best benchmark for her to

More information

Monday Tuesday Wednesday Thursday

Monday Tuesday Wednesday Thursday Name: Weekly Math Homework - Q1:1 Teacher: Monday Tuesday Wednesday Thursday Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of

More information

Concepts/Skills. Computation Ratios Problem solving. Materials

Concepts/Skills. Computation Ratios Problem solving. Materials . Overview Proportional Flag Concepts/Skills Computation Ratios Problem solving Materials TI-15 Student activity pages (pp. 82-85) Toy truck or car with scale indicated Color tiles Paper and pencils Chart

More information

Jenny Castillo Tammy Muller Brandi Stemple. Intro to Physical Science Fall 2010 Dianne Phillips

Jenny Castillo Tammy Muller Brandi Stemple. Intro to Physical Science Fall 2010 Dianne Phillips Jenny Castillo Tammy Muller Brandi Stemple Intro to Physical Science Fall 2010 Dianne Phillips History of the English System The measurement system commonly used in the United States today is nearly the

More information

To change from tonnes to kilograms, multiply by This means: tonnes = 225 kg [ = 225]

To change from tonnes to kilograms, multiply by This means: tonnes = 225 kg [ = 225] Q1. [1 tonne = 1000 kg] To change from tonnes to kilograms, multiply by 1000. This means: 0.225 tonnes = 225 kg [0.225 1000 = 225] Difference between 0.225 tonnes and 128 kg means the same as: Difference

More information

WEEK 1. Name: 4 th GRADE SUMMER REVIEW PACKET Date: Show your work! 8,384,950 3,948,584. Find the Difference. 84,023 76,289

WEEK 1. Name: 4 th GRADE SUMMER REVIEW PACKET Date: Show your work! 8,384,950 3,948,584. Find the Difference. 84,023 76,289 What is the VALUE of the underlined digit? 8,8,950,98,58 WEEK 1 Find the Difference. 8,02,289 There were 2, animals at the animal shelter. Last week, 8, animals were adopted. How many animals were left

More information

Section 2C Formulas with Dividing Decimals

Section 2C Formulas with Dividing Decimals Section 2C Formulas with Dividing Decimals x Look at the following z-score formula again from Statistics. z. Suppose we want to calculate the z-score if x 17.6 pounds, 13.8 pounds, and 2.5 pounds. Not

More information

2'4'2'4'4'4'2'4. Name. 415 f t. 7 + = Write O.G55 in expanded form. 1. Find the area of the rectangle. Shade the area on the grid that shows 2173"=

2'4'2'4'4'4'2'4. Name. 415 f t. 7 + = Write O.G55 in expanded form. 1. Find the area of the rectangle. Shade the area on the grid that shows 2173= Name Shade the area on the grid that shows 6 x 0' Find the area of the rectangle. 45 f t. Write O.G55 in expanded form. 73"= 5.385 + 5.45 = How many times greater is the value of the digit 3 in 43.GGG

More information

The Application of Temperature and/or Pressure Correction Factors in Gas Measurement

The Application of Temperature and/or Pressure Correction Factors in Gas Measurement The Application of Temperature and/or Pressure Correction Factors in Gas Measurement COMBINED BOYLE S CHARLES GAS LAWS To convert measured volume at metered pressure and temperature to selling volume at

More information

Objective: Solve problems involving mixed units of length.

Objective: Solve problems involving mixed units of length. Lesson 7 Objective: Solve problems involving mixed units of length. Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time (12 minutes) (6 minutes)

More information

Grade 5: Number Sense - Fractions & Decimals

Grade 5: Number Sense - Fractions & Decimals Grade 5: Number Sense - Fractions & Decimals Unit 8, Lessons 1-12, Pages 256-298 The star highlights important ideas. The globe links to the web. Click these figures to show the answer. Links to an activity

More information

Larger Units. Smaller Units

Larger Units. Smaller Units UNITS OF LENGTH: CUSTOMARY & METRIC (4 TH GRADE) TEACHER GUIDE Objective: The student will be able to use their knowledge of the standardized mathematics exam chart and their multiplication/division skills

More information

Getting Ready for 4 th Grade Common Core. 4 th Grade Math Preview

Getting Ready for 4 th Grade Common Core. 4 th Grade Math Preview Getting Ready for th Grade Common Core th Grade Math Preview Amy wants to divide the base-ten blocks shown below into two equal groups. How can she do this? Explain using pictures and words. Between which

More information

6th Grade Quarter One Assessment Guide

6th Grade Quarter One Assessment Guide th Grade Quarter One Assessment Guide Essential Questions Corresponding Questions & Point Value Can you divide multi-digit numbers? pts Whole Numbers and Decimals Can you add, subtract, multiply and divide

More information

CONTENTS III CUMULATIVE REVIEW Copyright by Phoenix Learning Resources. Inc. All Rights Reserved.

CONTENTS III CUMULATIVE REVIEW Copyright by Phoenix Learning Resources. Inc. All Rights Reserved. CONTENTS Chapter 1 WHOLE NUMBERS Pretest.............................. 1 Adding Whole Numbers.................. 2 Subtracting Whole Numbers.............. 4 Adding and Subtracting Whole Numbers..... 7 Using

More information

What to do: Use data from this graph to answer the problems on next page

What to do: Use data from this graph to answer the problems on next page Lesson: Mileage Graph Skills: Graphing Time: 20 minutes/extend to daily Use data from this graph to answer the problems on next page Follow up: Create a graph of the school s actual mileage and make this

More information

Activity Standard and Metric Measuring

Activity Standard and Metric Measuring Activity 1.3.2 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form

More information

Areas of Rectangles. Reteaching 31. Name. Practice:

Areas of Rectangles. Reteaching 31. Name. Practice: Areas of Rectangles Reteaching 31 Math Course 1, Lesson 31 When we measure the inside of a flat shape, we measure area. Cover is the cue word for area. Area of a rectangle = length width Label square units.

More information

Certified Pool/Spa Operator Course Pool Calculations

Certified Pool/Spa Operator Course Pool Calculations Pool Calculations AMOUNT CONVERSIONS a) Ounces to Pounds Ounces 16 = Pounds b) Fluid Ounces to Gallons Fluid Ounces 128 = Gallons DISTANCE CONVERSIONS a) Yards to Feet Yards X 3 = Feet b) Meters to Feet

More information

June x. 2. x. 3. x. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 8.NS.1 8.NS.1 8.NS.1 8.NS.1 8.NS /3 + 1/9 2.

June x. 2. x. 3. x. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 8.NS.1 8.NS.1 8.NS.1 8.NS.1 8.NS /3 + 1/9 2. June 2018 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Father s Day 24 25 26 27 28 29 30 1. 1/3 + 1/9 2. 1 8/9 + 3 2/3 3. 9 6/7 +

More information

Numbers up to 10,000

Numbers up to 10,000 Numbers up to 10,000 = 1,000 + + + + + + + + + = 10,000 10,000 = 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 (Note: 10 sets of 1,000 make 10,000) Copyright 2010 Seriously

More information

Properties of Numbers

Properties of Numbers Properties of Numbers 1. Round three thousand six hundred and seventy-two to the nearest hundred. 2. What is three point five to the nearest whole number? 3. Find a square number between forty and fifty.

More information

July 3 Twenty lawns can be mowed in 35 hours. The lawns per hour are about 0.57 or just over a half of a lawn per hour.

July 3 Twenty lawns can be mowed in 35 hours. The lawns per hour are about 0.57 or just over a half of a lawn per hour. Grade 7 Answer Key 2015 Answers will vary for many of the activities depending on the choices students make. Here are the answers for activities with specific solutions.! July 1 This problem is based on

More information

Dugout Sizing Worksheet. Joe Agricola Example

Dugout Sizing Worksheet. Joe Agricola Example Dugout Sizing Worksheet Joe Agricola Example This example is provided to help you size your farm dugout and determine if the runoff area selected will supply sufficient water. A blank copy of this worksheet

More information

13.2 Customary Length

13.2 Customary Length ? Name 13.2 ustomary Length Essential Question How can you compare and convert customary units of length? Geometry and Measurement 5.7. MTHEMTIL PROESSES 5.1. Unlock the Problem To build a new swing, Mr.

More information

Find each rate. A. A Ferris wheel revolves 35 times in 105 minutes. How many minutes does 1 revolution take? by. Simplify.

Find each rate. A. A Ferris wheel revolves 35 times in 105 minutes. How many minutes does 1 revolution take? by. Simplify. LESSON -2 Rates Lesson Objectives Find and compare unit rates, such as average speed and unit price Vocabulary rate (p. 218) unit rate (p. 218) Additional Examples Example 1 Find each rate. A. A Ferris

More information

CHAPTER 4: DECIMALS. Image from Microsoft Office Clip Art CHAPTER 4 CONTENTS

CHAPTER 4: DECIMALS. Image from Microsoft Office Clip Art CHAPTER 4 CONTENTS CHAPTER 4: DECIMALS Image from Microsoft Office Clip Art CHAPTER 4 CONTENTS 4.1 Introduction to Decimals 4.2 Converting between Decimals and Fractions 4.3 Addition and Subtraction of Decimals 4.4 Multiplication

More information

Lesson 1: Decimal Place Value. Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths.

Lesson 1: Decimal Place Value. Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths. Math Lesson 1: Decimal Place Value Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths. Standards Addressed: Standard 1: 5.NBT.3 Read, write, and

More information