# Name: Seventh Grade Science Teacher: Page 1

Size: px
Start display at page:

Transcription

1 Name: Seventh Grade Science Teacher: Page 1

3 Until the late 1700 s, there was no UNIFIED system of measurement For example, despite the best efforts of Charlemagne and many kings of France after him, the country s measurement system was one of the most chaotic in the world In 1795 there were over 700 different units of measurements in France alone Many often referred to parts of the human body: the digit, the hand, the foot, the cubit, the pace, and the fathom The same thing was true in other countries all over the world The biggest problem was that these units were not fixed and varied from country to country, town to town, and from person to person In 1790, in the midst of the French Revolution, the National Assembly of France requested the French Academy of Sciences to create a standardized system of measurement for all measurements that was SIMPLE and SCIENTIFIC Thus the Metric system was created The System is a decimal system (No Fractions) based on the number 10 If you can count to ten you can measure with the metric system Soon after its creation it was adopted and slowly introduced into many countries In fact the US Congress passed a law in 1866 naming the metric system as the official measurement system of the United States That means we should no longer be using inches, feet, gallons, pounds, and miles Do you know how tall you are in centimeters or how much you weigh in kilograms? Not many people do Why? It s because it s hard to make a change Many people were set in their ways or didn t have a need or desire to learn a new system at that time Any change will take a little time to adjust to, but will eventually feel natural Think about your parents or grandparents Believe it or not, they grew up WITHOUT CELL PHONES (first commercial cell phone call was made in 1983) or the INTERNET (AOL starts in 1989), but now how many of them use these daily Change does take time, but for the United States, changing to the Metric System has been an extremely long process Other countries have already adopted an updated version of the Metric System called the SI System (International System of Units) while the US still hasn t finished converting over to the Metric System Page 3

4 The SI System basically redefined the base units of the Metric System in a more precise way For example, in the Metric System one meter was defined as one ten-millionth of the distance between the equator and the North Pole and now the SI system defines one meter as the path travelled by light in a vacuum during a time interval of 1/299,792,458 of a second The distance is the same, but the definition has changed The United States is one of only THREE countries in the world that has not yet made the complete conversion to the SI System, which is making it harder and harder for US businesses to take part in International business The one place in the US where the conversion is complete is in all fields of science Because of this, it is necessary for you to first become familiar with SI System and then become experts on how to measure precisely and accurately with this system Since a lot of what happens in science relies on knowing how to measure, all students entering the eighth grade are expected to complete this summer measurement packet before the first day of eighth grade Your eighth grade science teacher will be reviewing this packet with you at the start of the school year and you will be tested on the material within the first few days of school Don t put it off until the last minute Work on this a little at a time over the entire summer Page 4

5 Section 1: Learning the Basics Every type of measurement in the SI System has a BASE UNIT assigned to it and all other measurements of that type are a variation of that base unit By adding a prefix to the base unit we change the meaning of the base unit and the size of our measurement For example in the Imperial System of measurement that we are used to using, the measurements of distance we had to commit to memory the meanings of INCHES, FOOT, YARD, MILES, and LEAGUES To measure volume, you had to remember the difference between, FUILD OUNCES, CUPS, PINTS, QUARTS, and GALLONS For measuring mass, you had to know OUNCES, POUNDS, and TONS However, in the SI System you only have to remember the METER, LITER, and GRAM and what happens to them when you attach one of the standard prefixes to it (The same prefixes will be used for all measurements; distance, volume, and mass) What are the SI Prefixes? There are 20 expectable prefixes that may be used with SI measurements Each prefix changes the meaning of the base unit by some factor of 10 The chart to the right, list all of the SI Prefixes, however, the ones in the middle of the range are the ones that you will use the most (kilo, hector, deka, deci, centi, and milli) and will be expected to know It is important to know the order of these prefixes from largest to smallest and try get an understanding of the size of each measurement Most likely you will use some of these more often than the others In most science and math classes, students will use Milli, Centi, Kilo, and the base unit more than any of the others, but it is still important to know what the others are and what they mean An easy way to remember these middle range prefixes is to use the following pneumonic device: Did you know that King Henry Died By Drinking Chocolate Milk i l l o e c t o e k a a s e e c i e n t i i l l i Page 5

6 To start let s think about distance The base unit for distance is one meter A meter stick is slightly longer than a yard stick (A Yard stick is 36 inches long while a meter stick is about 3937 inches long) So what is a kilometer? (1 meter x 10 3 = 1000 meters long) Tar Hollow RD Middle School Cline Hollow RD = ONE kilometer Giant Eagle = ONE mile The distance from Cline Hollow Road to Forest Lane is just about one mile The distance from Cline Hollow Road to the High School entrance is about ONE KILOMETER So what is a hectometer? (1 meter x 10 2 = 100 meters long) FR Stadium for FOOTBALL (End zone to End zone = 100yd) FR Stadium for SOCCER (Goal line to Goal line = 1 Hectometer) Page 6

7 So what is a decameter? (1 meter x 10 = 10 meters longs) Olympic diving competitions are held at two heights: 1 a springboard dive set at 3m above the water 2 and a platform dive, set at 1 decameter So what is the Base Unit for length? (1 meter) One Yard Stick ONE METER STICK So what is a decimeter? (1 meter x 10-1 = 01 meters long) (Looking more closely at a meter stick) Page 7

8 So what is a centimeter? (1 meter x 10-2 = 001 meters long) (Looking more closely at a meter stick) So what is a millimeter? (1 meter x 10-3 = 0001 meters long) (Looking more closely at a meter stick) The easiest way to think about it is this: EVERY SPACE in the Si system is evenly divided into 10 spaces If you can count to ten, than you can measure with the SI system You never have to worry about fractions again (except in Math class) There are 10 millimeters that make up 1 centimeter There are 10 centimeters that make up 1 decimeter There are 10 decimeters that make up 1 meter And so on Page 8

9 Section 2: How to Measure with accuracy and precision Every time you measure something you always need to measure to the precision of the tool you are using plus one estimated digit (also called your Best Guess ) For example, if you are measuring the pencil below in centimeters using the ruler below it, your answer would be: 1235 cm decimeter From zero 2 centimeters From the last measurement 3 millimeters From the last measurement (This is the Precision of the tool [THE SMALLEST written lines]) 5 10 of the way through the empty space is your estimated digit 1235 cm The decimal point is placed after the digit of the unit that you wish to record the measurement In this case we are measuring in centimeters so the decimal point is placed after the 2 since that is the centimeter measurement Page 9

10 If we wanted to measure the same pencil from the previous page in millimeters, the answer would be 1235 mm The decimal point is placed after the digit of the unit that you wish to record the measurement In this case we are measuring in millimeters so the decimal point is placed after the 3 since that is the millimeter measurement Notice each individual digit is still the same, and just the location of the decimal point was changed We can even record the length of the pencil in kilometers if we want to Just remember your prefixes (King Henry) km hm dam m dm cm mm Best Guess km The decimal point is placed after the digit of the unit that you wish to record the measurement In this case we are measuring in kilometers so the decimal point is placed after the first zero since that is the kilometer measurement Notice each individual digit is still the same, and just the decimal was changed ABOUT THE BEST GUESS: The estimated digit is very important as it tells everyone that looks at your measurement that all of the numbers before it are absolute numbers and were actually read from the tool The last number written is always assumed to be a guess / opinion of the person reading the tool THAT MEANS A BEST GUESS (or estimated) DIGIT MUST ALWAYS BE RECORDED, even if the object is estimated to not have gone into the empty space of the tool In this case the best guess (estimated) digit would be recorded as a ZERO Page 10

11 Different tools in the SI system all measure to different precisions It doesn t matter what tool you are using as long as you remember to always measure to the smallest written lines on that tool PLUS one estimated digit for the empty space between the smallest lines Below are several different SI measurement tools Read each tool and record the measurement to the precision of the instrument PLUS one estimated digit 1) Record the length of the marker below in centimeters (cm) ) Record the length of the Model Rocket below in centimeters (cm) ) Record the width of the SD Memory Card in centimeters (cm) Page 11

12 Section 3: Measuring Distance with a meter stick Name: Pd: Date: Score Learning to read a meter stick Directions: Using your knowledge of SI rulers, write the correct measurement for each numbered location on the rulers below (For 1-8 measure in cm [Don t forget your decimal point]) 1) dm cm mm BG 0 90 #8 1 #1 91 2) dm cm mm BG ) dm cm mm BG 3 #4 93 #2 4) dm cm mm BG #6 5) dm cm mm BG 6 #5 96 6) dm cm mm BG 7 97 #3 7) dm cm mm BG ) dm cm mm BG 9 #7 99 Page 12

13 Name Pd Date Score Let s Practice measuring distance using the SI System 1) Complete the list below of SI system units of length from largest to smallest: 2) Use your Metric Ruler to measure the following lines in the label listed at the right of each line Write the answer on each line mm dam m cm Best Guess m cm mm m Guess m cm mm cm Page 13

14 3) Measure the total distance of each bent line in the label listed at the right of each line Write the answer for each segment on each line and then CIRCLE the Total distance cm cm mm mm m Page 14

15 C Name: Pd: Date: Measuring Length Practice A 1) Measure the longest side of this paper in km km hm dam m dm cm mm BG 2) Measure the shortest side of this paper in mm km hm dam m dm cm mm BG 3) Measure on this page the distance longest side of the Title box in cm km hm dam m dm cm mm BG 4) Measure the height of this M in dm B km hm dam m dm cm mm BG 5) Measure the following line in m km hm dam m dm cm mm BG Measure the distance between the following DOTS on this page (Edge of the DOT to the Edge of the DOT) 6) Measure the distance from the DOT A to DOT B in centimeters 7) Measure the distance from the DOT C to DOT D in meters 8) Measure the distance from the DOT A to DOT D in kilometers 9) Measure the distance from the DOT A to DOT C in millimeters 10) Measure the distance from the DOT B to DOT D in meter 11) Measure the distance from the DOT B to DOT C in centimeters D Page 15

16 GREEN BLUE RED Name: Pd: Date: Score No other city can Measure up to Pittsburgh s Firsts Directions: Using a metric ruler and your knowledge of how to measure length, following the directions below to discover some of the things that Pittsburgh was first in for every question always start at the dot in the START HERE box (ONLY START HERE FOR NUMBER ONE OF EACH QUESTION) Then using the color indicated, draw the path that was used to find the answer (You may first use a pencil and then trace over it with the color later) 1 The world s first theater devoted to motion pictures, opened on Smithfield Street in Pittsburgh in 1905 What was its name? (1) Measure DOWN 1350cm, then LEFT 460 cm (2) Measure UP 1250 cm, then RIGHT 1245 cm (3) Measure DOWN 085 cm, then LEFT 1000 cm (4) Measure LEFT 525 cm, then DOWN 1155 cm (5) Measure RIGHT 240 cm, then UP 495 cm (6) Measure UP 465 cm, then RIGHT 095 cm (7) Measure DOWN 630 cm, then LEFT 055 cm (8) Measure UP 690 cm, then RIGHT 480 cm (9) Measure DOWN 525 cm, then LEFT 525 cm (10) Measure DOWN 160 cm, then RIGHT 030 cm (11) Measure DOWN 345 cm #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 2 What was the name of the world s first true baseball stadium was that was built in Pittsburgh in 1909? (1) Measure RIGHT 335cm, then DOWN 210 cm (2) Measure DOWN 800 cm, then LEFT 795 cm (3) Measure UP 610 cm, then RIGHT 1155 cm (4) Measure DOWN 445 cm, then LEFT 700 cm (5) Measure LEFT 490 cm (6) Measure DOWN 520 cm, then RIGHT 1295 cm (7) Measure UP 780 cm, then LEFT 455 cm (8) Measure UP 380cm (9) Measure UP 105 cm, then RIGHT 455 cm (10) Measure DOWN 745 cm, then LEFT 1280 cm (11) Measure RIGHT 090 cm, then UP 465 cm (12) Measure RIGHT 430 cm, then UP 060 cm #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 3 Game 4 of the 1971 World Series in Pittsburgh was the first World Series (1) Measure DOWN 1340 cm, then LEFT 460 cm (2) Measure UP 1250 cm, then RIGHT 1255 cm (3) Measure DOWN 255 cm, then RIGHT 295 cm (4) Measure DOWN 965 cm, then LEFT 530 cm (5) Measure LEFT 735 cm, then UP 765 cm (6) Measure RIGHT 1100 cm, then DOWN 025 cm (7) Measure RIGHT 160 cm, then UP 230 cm (8) Measure RIGHT 265 cm, then DOWN 650 cm (9) Measure DOWN 060 cm, then LEFT 925 cm (10) Measure LEFT 330 cm, then UP 225 cm #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 Page 16

17 Page 17 START HERE A E B C D F G Z H I U Y V W X T K O L M N P Q J R S Space

19 Volumes of Solid Objects: In order to find the volume of solid objects you might have to use a meter stick and a calculator All standard geometric shapes (Cubes, Cylinders, Spheres, etc), have a mathematical formula for determining volume Below are some of those formulas: Volume of Cube = Length x Width x Height (V = L x W x H) Volume of Cylinder = π x Radius 2 x Height (V = πr 2 H) R = 192 cm H = 235cm H = 700 cm W = 308 cm L = 781 cm V = π x R 2 x H V = L x W x H V = 781 cm x 308 cm x 235 cm V = π x (192 cm x 192 cm) x 700 cm V = 5623 cm 3 V = 8103 cm 3 Notice that the label for volume (cm 3 ) is created when 3 centimeter measurements are multiplied together cm x cm x cm = cm 3 Page 19

20 Some solid objects are not perfect geometric shapes (Cubes, Cylinders, Spheres, etc), so mathematical formulas will not work The volume can still be found if you understand the concept of displacement The Universal Law of Displacement states that no two things may occupy the same space at the same time For example if you enter your classroom and someone is sitting in your seat, they will have to move in order for you to sit there Or think about getting into a bath You put some water in the tub Then you get in what happens to the level of the water? As you get in, you push some of the water out of the way and this makes the water level rise When you get out, the water level will go back down The neat thing is, that the amount of water that moved out of the way is equal to the volume of the person that got in We can use this same concept to find the volume of irregularly shaped objects You put a known amount of water into a container (Graduated Cylinder), and drop an irregularly shaped object into the water The water will be displaced and the change in volume for the water will be equal to the volume of the object Direct Displacement Volume After = 555 ml Volume Before = 447 ml Volume AFTER 555 ml - Volume BEFORE ml Volume of water displaced 108 ml Volume of water Displaced = Volume of Object 108 ml = 108 cm 3 Volume Labels Solids = cm 3 Liquids = ml Gases = ml Since the rock is a SOLID object, the volume should be recorded in cm 3 Page 20

21 Name: Measuring Volumes Period: Date: Score Directions: Determine the volume of the following objects Make sure you show your work Height = 550 cm Width = 350 cm (1) Volume = Length = 1260 cm Height = 314 cm (2) Volume = Width = 275 cm Length = 1533 cm R = 286 cm H = 190 cm (3) Volume = R = 054 cm H = 613 cm (4) Volume = Page 21

23 REMEMBER: Anyone that brings a completed packet to their 8 th grade science teacher on the first or second day of school next year will earn 5 bonus points and a Free homework pass This offer is only good for your first or second day back to school Additionally, there will be a measurement test within the first few weeks of school Page 23

### History of U.S. Measurement

SECTION 11.1 LINEAR MEASUREMENT History of U.S. Measurement The English system of measurement grew out of the creative way that people measured for themselves. Familiar objects and parts of the body were

### Measurement: Converting Distances

Measurement: Converting Distances Measuring Distances Measuring distances is done by measuring length. You may use a different system to measure length differently than other places in the world. This

### HFCC Math Lab General Math Topics -1. Metric System: Shortcut Conversions of Units within the Metric System

HFCC Math Lab General Math Topics - Metric System: Shortcut Conversions of Units within the Metric System In this handout, we will work with three basic units of measure in the metric system: meter: gram:

### MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:

MEASUREMENT Introduction: People created systems of measurement to address practical problems such as finding the distance between two places, finding the length, width or height of a building, finding

### Measurement. Customary Units of Measure

Chapter 7 Measurement There are two main systems for measuring distance, weight, and liquid capacity. The United States and parts of the former British Empire use customary, or standard, units of measure.

### 4.5.1 The Metric System

4.5.1 The Metric System Learning Objective(s) 1 Describe the general relationship between the U.S. customary units and metric units of length, weight/mass, and volume. 2 Define the metric prefixes and

### MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.

MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units

### Metric Units of Length

7.2 Metric Units of Length 7.2 OBJECTIVES. Know the meaning of metric prefixes 2. Estimate metric units of length 3. Convert metric units of length NOTE Even in the United States, the metric system is

### EXERCISE # 1.Metric Measurement & Scientific Notation

EXERCISE # 1.Metric Measurement & Scientific Notation Student Learning Outcomes At the completion of this exercise, students will be able to learn: 1. How to use scientific notation 2. Discuss the importance

### Converting Units of Measure Measurement

Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual

### 1. Metric system- developed in Europe (France) in 1700's, offered as an alternative to the British or English system of measurement.

GS104 Basics Review of Math I. MATHEMATICS REVIEW A. Decimal Fractions, basics and definitions 1. Decimal Fractions - a fraction whose deonominator is 10 or some multiple of 10 such as 100, 1000, 10000,

### Jones and Bartlett Publishers, LLC. NOT FOR SALE OR DISTRIBUTION.

Chapter 3 Metric System You shall do no unrighteousness in judgment, in measure of length, in weight, or in quantity. Just balances, just weights, shall ye have. Leviticus. Chapter 19, verse 35 36. Exhibit

### Subject: Math Grade Level: 5 Topic: The Metric System Time Allotment: 45 minutes Teaching Date: Day 1

Subject: Math Grade Level: 5 Topic: The Metric System Time Allotment: 45 minutes Teaching Date: Day 1 I. (A) Goal(s): For student to gain conceptual understanding of the metric system and how to convert

### Chapter 2 Measurement and Problem Solving

Introductory Chemistry, 3 rd Edition Nivaldo Tro Measurement and Problem Solving Graph of global Temperature rise in 20 th Century. Cover page Opposite page 11. Roy Kennedy Massachusetts Bay Community

### Measurements 1. BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com. In this section we will look at. Helping you practice. Online Quizzes and Videos

BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com Measurements 1 In this section we will look at - Examples of everyday measurement - Some units we use to take measurements - Symbols for units and converting

### Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Section 1 Tools and Measurement

Section 1 Tools and Measurement Key Concept Scientists must select the appropriate tools to make measurements and collect data, to perform tests, and to analyze data. What You Will Learn Scientists use

### One basic concept in math is that if we multiply a number by 1, the result is equal to the original number. For example,

MA 35 Lecture - Introduction to Unit Conversions Tuesday, March 24, 205. Objectives: Introduce the concept of doing algebra on units. One basic concept in math is that if we multiply a number by, the result

### UNIT 1 MASS AND LENGTH

UNIT 1 MASS AND LENGTH Typical Units Typical units for measuring length and mass are listed below. Length Typical units for length in the Imperial system and SI are: Imperial SI inches ( ) centimetres

### CHAPTER 4 DIMENSIONAL ANALYSIS

CHAPTER 4 DIMENSIONAL ANALYSIS 1. DIMENSIONAL ANALYSIS Dimensional analysis, which is also known as the factor label method or unit conversion method, is an extremely important tool in the field of chemistry.

### Measurement/Volume and Surface Area Long-Term Memory Review Grade 7, Standard 3.0 Review 1

Review 1 1. Explain how to convert from a larger unit of measurement to a smaller unit of measurement. Include what operation(s) would be used to make the conversion. 2. What basic metric unit would be

### Units of Measurement: A. The Imperial System

Units of Measurement: A. The Imperial System Canada uses the metric system most of the time! However, there are still places and occasions where the imperial system of measurement is used. People often

### Student Exploration: Unit Conversions

Name: Date: Student Exploration: Unit Conversions Vocabulary: base unit, cancel, conversion factor, dimensional analysis, metric system, prefix, scientific notation Prior Knowledge Questions (Do these

### Metric Mania Conversion Practice. Basic Unit. Overhead Copy. Kilo - 1000 units. Hecto - 100 units. Deka - 10 units. Deci - 0.

Metric Mania Conversion Practice Overhead Copy Kilo - 1000 Hecto - 100 Deka - 10 To convert to a larger unit, move decimal point to the left or divide. Basic Unit Deci - 0.1 To convert to a smaller unit,

### .001.01.1 1 10 100 1000. milli centi deci deci hecto kilo. Explain that the same procedure is used for all metric units (meters, grams, and liters).

Week & ay Week 15 ay 1 oncept/skill ompare metric measurements. Standard 7 MG: 1.1ompare weights, capacities, geometric measures, times, and temperatures within and between measurement systems (e.g., miles

### Revision Notes Adult Numeracy Level 2

Revision Notes Adult Numeracy Level 2 Place Value The use of place value from earlier levels applies but is extended to all sizes of numbers. The values of columns are: Millions Hundred thousands Ten thousands

### Metric Conversion: Stair-Step Method

ntroduction to Conceptual Physics Metric Conversion: Stair-Step Method Kilo- 1000 Hecto- 100 Deka- 10 Base Unit grams liters meters The Metric System of measurement is based on multiples of 10. Prefixes

### Handout Unit Conversions (Dimensional Analysis)

Handout Unit Conversions (Dimensional Analysis) The Metric System had its beginnings back in 670 by a mathematician called Gabriel Mouton. The modern version, (since 960) is correctly called "International

### Title: Basic Metric Measurements Conversion (police)

X X Stackable Certificate Documentation Technology Study / Life skills EL-Civics Career Pathways Police Paramedic Fire Rescue Medical Asst. EKG / Cardio Phlebotomy Practical Nursing Healthcare Admin Pharmacy

### 10 g 5 g? 10 g 5 g. 10 g 5 g. scale

The International System of Units, or the SI Units Vs. Honors Chem 1 LENGTH In the SI, the base unit of length is the Meter. Prefixes identify additional units of length, based on the meter. Smaller than

### Title: Basic Metric Measurements Conversion

Stackable Certificate Documentation Technology Study / Life skills EL-Civics Career Pathways Police Paramedic Fire Rescue Medical Asst. EKG / Cardio Phlebotomy Practical Nursing Healthcare Admin Pharmacy

### FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication

FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST Mathematics Reference Sheets Copyright Statement for this Assessment and Evaluation Services Publication Authorization for reproduction of this document is hereby

### Imperial Length Measurements

Unit I Measuring Length 1 Section 2.1 Imperial Length Measurements Goals Reading Fractions Reading Halves on a Measuring Tape Reading Quarters on a Measuring Tape Reading Eights on a Measuring Tape Reading

### Unit Conversions. Ben Logan <ben.logan@gmail.com> Feb 10, 2005

Unit Conversions Ben Logan Feb 0, 2005 Abstract Conversion between different units of measurement is one of the first concepts covered at the start of a course in chemistry or physics.

### MOST COMMON METRIC UNITS USED IN THE MEDICAL FIELD *BASE. deci. King Henry Died (from a) Disease Called Mumps. (k) (h) (da) gram (g) (d) (c) (m)

MOST COMMON METRIC UNITS USED IN THE MEDICAL FIELD Micro (mc) microgram 0 6 One millionth 0.00000 Milli (m) milligram milliliter* millimeter 0 3 One thousandth 0.00 Centi (c) centimeter 0 2 One hundredth

### Grade 6 FCAT 2.0 Mathematics Sample Questions

Grade FCAT. Mathematics Sample Questions The intent of these sample test materials is to orient teachers and students to the types of questions on FCAT. tests. By using these materials, students will become

### REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course.

### How to Solve Drug Dosage Problems

How to Solve Drug Dosage Problems General Information ----------------------------------------- ----- ------------------ page 2 Converting between units -----------------------------------------------------------

### UNIT (1) MEASUREMENTS IN CHEMISTRY

UNIT (1) MEASUREMENTS IN CHEMISTRY Measurements are part of our daily lives. We measure our weights, driving distances, and gallons of gasoline. As a health professional you might measure blood pressure,

### GEOMETRY - MEASUREMENT Middle School, Science and Math Monica Edwins, Twin Peaks Charter Academy, Longmont Colorado

GEOMETRY - MEASUREMENT Grade Level: Written by: Length of Unit: Middle School, Science and Math Monica Edwins, Twin Peaks Charter Academy, Longmont Colorado Six class periods I. ABSTRACT This unit could

### Grade 4 Mathematics Measurement: Lesson 1

Grade 4 Mathematics Measurement: Lesson 1 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### Chapter 1 An Introduction to Chemistry

1 Chapter 1 An Introduction to Chemistry 1.1 What Is Chemistry, and What Can Chemistry Do for You? Special Topic 1.1: Green Chemistry 1.2 Suggestions for Studying Chemistry 1.3 The Scientific Method 1.4

### MD5-26 Stacking Blocks Pages 115 116

MD5-26 Stacking Blocks Pages 115 116 STANDARDS 5.MD.C.4 Goals Students will find the number of cubes in a rectangular stack and develop the formula length width height for the number of cubes in a stack.

### Healthcare Math: Using the Metric System

Healthcare Math: Using the Metric System Industry: Healthcare Content Area: Mathematics Core Topics: Using the metric system, converting measurements within and between the metric and US customary systems,

### Welcome to Physics 40!

Welcome to Physics 40! Physics for Scientists and Engineers Lab 1: Introduction to Measurement SI Quantities & Units In mechanics, three basic quantities are used Length, Mass, Time Will also use derived

### A Mathematical Toolkit. Introduction: Chapter 2. Objectives

A Mathematical Toolkit 1 About Science Mathematics The Language of Science When the ideas of science are epressed in mathematical terms, they are unambiguous. The equations of science provide compact epressions

### Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)

Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base

### Essential Question: Why does what we measure influence how we measure?

Core Content: 5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world

### NASA Explorer Schools Pre-Algebra Unit Lesson 2 Student Workbook. Solar System Math. Comparing Mass, Gravity, Composition, & Density

National Aeronautics and Space Administration NASA Explorer Schools Pre-Algebra Unit Lesson 2 Student Workbook Solar System Math Comparing Mass, Gravity, Composition, & Density What interval of values

### Eighth Grade, Density To Float or Not to Float? 2004 Colorado Unit Writing Project 1

Density To Float or Not to Float? That is the Question! Grade Level or Special Area: Eighth Grade Science Written by: Aida Peterson, Clear Lake Middle School, Denver, Colorado Length of Unit: Twelve lessons

### MATH 110 Landscape Horticulture Worksheet #4

MATH 110 Landscape Horticulture Worksheet #4 Ratios The math name for a fraction is ratio. It is just a comparison of one quantity with another quantity that is similar. As a Landscape Horticulturist,

### Perimeter, Area, and Volume

Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all

### CHAPTER 2: MEASUREMENT AND PROBLEM SOLVING

CHAPTER 2: MEASUREMENT AND PROBLEM SOLVING Problems: 1-64, 69-88, 91-120, 123-124 2.1 Measuring Global Temperatures measurement: a number with attached units When scientists collect data, it is important

### Appendix C: Conversions and Calculations

Appendix C: Conversions and Calculations Effective application of pesticides depends on many factors. One of the more important is to correctly calculate the amount of material needed. Unless you have

### Chapter 19. Mensuration of Sphere

8 Chapter 19 19.1 Sphere: A sphere is a solid bounded by a closed surface every point of which is equidistant from a fixed point called the centre. Most familiar examples of a sphere are baseball, tennis

### Conversion Formulas and Tables

Conversion Formulas and Tables Metric to English, Introduction Most of the world, with the exception of the USA, uses the metric system of measurements exclusively. In the USA there are many people that

### Measurement of Length, Mass, Volume and Density

Measurement of Length, Mass, Volume and Density Experimental Objective The objective of this experiment is to acquaint you with basic scientific conventions for measuring physical quantities. You will

### ALGEBRA I (Common Core) Wednesday, August 13, 2014 8:30 to 11:30 a.m., only

ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Wednesday, August 13, 2014 8:30 to 11:30 a.m., only Student Name: School Name: The

Tennessee Department of Education Task: Representing the National Debt 7 th grade Rachel s economics class has been studying the national debt. The day her class discussed it, the national debt was \$16,743,576,637,802.93.

### Fractional Part of a Set

Addition and Subtraction Basic Facts... Subtraction Basic Facts... Order in Addition...7 Adding Three Numbers...8 Inverses: Addition and Subtraction... Problem Solving: Two-Step Problems... 0 Multiplication

### First published in 2013 by the University of Utah in association with the Utah State Office of Education.

First published in 201 by the University of Utah in association with the Utah State Office of Education. Copyright 201, Utah State Office of Education. Some rights reserved. This work is published under

### Chapter 1 Lecture Notes: Science and Measurements

Educational Goals Chapter 1 Lecture Notes: Science and Measurements 1. Explain, compare, and contrast the terms scientific method, hypothesis, and experiment. 2. Compare and contrast scientific theory

### Lesson 18 Pythagorean Triples & Special Right Triangles

Student Name: Date: Contact Person Name: Phone Number: Teas Assessment of Knowledge and Skills Eit Level Math Review Lesson 18 Pythagorean Triples & Special Right Triangles TAKS Objective 6 Demonstrate

### To Multiply Decimals

4.3 Multiplying Decimals 4.3 OBJECTIVES 1. Multiply two or more decimals 2. Use multiplication of decimals to solve application problems 3. Multiply a decimal by a power of ten 4. Use multiplication by

### How many are your works, Lord! In wisdom you made them all; the earth is full of your creatures. Psalm 104:24, niv

WELCOME When you look around, do you ever wonder where everything came from and how it was made? Have you ever contemplated why a tree is hard, a sponge is soft, and a breeze is invisible? By faith we

### Lab 1: The metric system measurement of length and weight

Lab 1: The metric system measurement of length and weight Introduction The scientific community and the majority of nations throughout the world use the metric system to record quantities such as length,

What five coins add up to a nickel? five pennies (1 + 1 + 1 + 1 + 1 = 5) Which is longest: a foot, a yard or an inch? a yard (3 feet = 1 yard; 12 inches = 1 foot) What do you call the answer to a multiplication

### Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities.

3 rd Grade Math Learning Targets Algebra: Indicator 1: Use procedures to transform algebraic expressions. 3.A.1.1. Students are able to explain the relationship between repeated addition and multiplication.

### Sample Questions Chapter 2. Stoker

Sample Questions Chapter 2. Stoker 1. The mathematical meaning associated with the metric system prefixes centi, milli, and micro is, respectively, A) 2, 4, and 6. B) 2, 3, and 6. C) 3, 6, and 9. D) 3,

### Unit 2 Number and Operations Fractions: Multiplying and Dividing Fractions

Unit Number and Operations Fractions: Multiplying and Dividing Fractions Introduction In this unit, students will divide whole numbers and interpret the answer as a fraction instead of with a remainder.

### Calculating Area, Perimeter and Volume

Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly

### Metric Prefixes. 10 12 Tera- T 10 2 centi- c 10 9 Giga- G 10 3 milli- m 10 6 Mega- M 10 6 micro- µ 10 3 kilo- k 10 9 nano- n

Metric Prefixes Meaning Name Abbreviation Meaning Name Abbreviation 10 12 Tera- T 10 2 centi- c 10 9 Giga- G 10 3 milli- m 10 6 Mega- M 10 6 micro- µ 10 3 kilo- k 10 9 nano- n These are the most commonly

### Geometry Notes VOLUME AND SURFACE AREA

Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate

### DIMENSIONAL ANALYSIS #2

DIMENSIONAL ANALYSIS #2 Area is measured in square units, such as square feet or square centimeters. These units can be abbreviated as ft 2 (square feet) and cm 2 (square centimeters). For example, we

### ACTIVITY: Finding a Formula Experimentally. Work with a partner. Use a paper cup that is shaped like a cone.

8. Volumes of Cones How can you find the volume of a cone? You already know how the volume of a pyramid relates to the volume of a prism. In this activity, you will discover how the volume of a cone relates

### ALGEBRA I (Common Core) Thursday, January 28, 2016 1:15 to 4:15 p.m., only

ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Thursday, January 28, 2016 1:15 to 4:15 p.m., only Student Name: School Name: The

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### Lesson 1: Linear Measurement

Lesson 1: Linear Selected Content Standards Benchmarks Addressed: M-1-M Applying the concepts of length, area, surface area, volume, capacity, weight, mass, money, time, temperature, and rate to real-world

### Tallahassee Community College PERIMETER

Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides

### Pushes and Pulls. TCAPS Created June 2010 by J. McCain

Pushes and Pulls K i n d e r g a r t e n S c i e n c e TCAPS Created June 2010 by J. McCain Table of Contents Science GLCEs incorporated in this Unit............... 2-3 Materials List.......................................

### SAMPLE TEST MATHEMATICS. 2007 Oregon Content Standards Grades 3-8 GRADE 5

SAMPLE TEST MATHEMATICS GRADE 5 2007 Oregon Content Standards Grades 3-8 It is the policy of the State Board of Education and a priority of the that there will be no discrimination or harassment on the

### ALGEBRA I (Common Core) Tuesday, June 3, 2014 9:15 a.m. to 12:15 p.m., only

ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Tuesday, June 3, 2014 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The

### www.parklandsd.org/web/physics/

Course: AP Physics 1 2016 2017 Physics Teachers: Mrs. Dogmanits & Mr. Wetherhold Summer Assignment DO NOT TAKE A TEXTBOOK FROM THE LIBRARY! USE THE ONLINE TEXT. 1. The AP Physics 1 textbook is available

### Multiply circumference by 0.3183. Or divide circumference by 3.1416. Multiply diameter by 3.1416. Or divide diameter by 0.3183.

RULES RELATIVE TO THE CIRCLE TO FIND DIAMETER TO FIND CIRCUMFERENCE TO FIND RADIUS TO FIND SIDE OF AN INSCRIBED SQUARE TO FIND SIDE OF AN EQUAL SQUARE Multiply circumference by 0.383. Or divide circumference

### Unit 5 Length. Year 4. Five daily lessons. Autumn term Unit Objectives. Link Objectives

Unit 5 Length Five daily lessons Year 4 Autumn term Unit Objectives Year 4 Suggest suitable units and measuring equipment to Page 92 estimate or measure length. Use read and write standard metric units

### 1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =

Extra Practice for Lesson Add or subtract. ) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = Multiply. 7) (5)(-4) = 8) (-3)(-6) = 9) (-)(2) = Division is

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Music Makers. paper clips

Fifth Grade Science Design Brief Music Makers Background: We know that sound is a form of energy produced and transmitted by vibrating matter and that pitch is determined by the frequency of a vibrating

### Lesson 3 Understanding Distance in Space (optional)

Lesson 3 Understanding Distance in Space (optional) Background The distance between objects in space is vast and very difficult for most children to grasp. The values for these distances are cumbersome

### Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

### Chapter 1 Problems. To do all three sections of this problem, we can first convert the radius to kilometers. r = 6.37 10 6 1km 1000m = 6.

Chapter 1 Problems 1.1 The Earth is approximately a sphere of radius 6.37 x 10 6 m. (a) What is is its circumference in kilometers? (b) What is its surface area in square kilometers? (c) What is its volume

### Conversions between the common units of length used in the Imperial system are listed below 12 in = 1 ft 3 ft = 1 yard 1760 yards = 1 mile

THE METRIC SYSTEM The metric system or SI (International System) is the most common system of measurements in the world, and the easiest to use. The base units for the metric system are the units of: length,

### Prealgebra Textbook. Chapter 6 Odd Solutions

Prealgebra Textbook Second Edition Chapter 6 Odd Solutions Department of Mathematics College of the Redwoods 2012-2013 Copyright All parts of this prealgebra textbook are copyrighted c 2009 in the name

### Story Problems With Remainders

Mastery Drill 8 8 Story Problems With Remainders What we do with the remainder after working a division story problem depends on the story. Three hungry boys divided ten pieces of pizza equally among themselves.

### Assessment For The California Mathematics Standards Grade 3

Introduction: Summary of Goals GRADE THREE By the end of grade three, students deepen their understanding of place value and their understanding of and skill with addition, subtraction, multiplication,

### Converting within the Metric System

Converting within the Metric System Team members: Donna Massey and Julie Schlabaugh I. Lesson Plan (designed for teacher) Lesson Title: Convert with Metric! Lesson Summary: This lesson will allow students