Virginia - Mathematics Standards of Learning (2009): 4.3 b, 4.3 c,

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Virginia - Mathematics Standards of Learning (2009): 4.3 b, 4.3 c,"

Transcription

1 1 Lesson Plan Round Decimals Age group: 5 t h Grade Virginia - Mathematics Standards of Learning (2009): 4.3 b, 4.3 c, 5.1 Virginia - Mathematics Standards of Learning (2016): 4.3.b, 5.1 Fairfax County Public Schools Program of Studies: 4.3.b.1, 4.3.c.1, 4.3.c.2, 5.1.a.1 Online resources: Wei ghi ng M at t e rs Opening Teacher present s Students pract ice Class discussion 1 3 min 1 0 min 1 2 min 1 0 min M at h Obj ect ives E xpe ri e nc e a visual model of one, one tenth, and one hundredth P rac t i c e using a balance scale Learn to round decimals De vel o p a better understanding of place value Ope ni ng 13 min

2 2 Display the following number line on the board: Say: I will draw a sign on the number line and each time we re going to determine whole number the sign is closest to. Place the x above the number 0.2. Ask: Which whole number is closest to the x? The closest whole number to 0.2 is 0. Place the x above the number 0.6. Ask: Which whole number is closest to the x? The closest whole number to 0.6 is 1. Place the x above the number 1.5. Ask: Which whole number is closest to the x? The distance of 1.5 from 1 and from 2 is the same, so there is not one closest whole number to 1.5. Continue asking questions of this nature until you are confident that the students can easily identify the closest whole number. Display the following number line on the board: Say: Now I will draw a sign on this new number line and this time we re going to determine to which t e nt h the sign is closer.

3 3 Add the 0.22 tick and place the x above it. Ask: Which tenth is closest to the x? The closest tenth to 0.22 is 0.2. Ask: Which tenth is closest to 0.79? The closest tenth to 0.79 is 0.8. Continue asking questions of this nature until you are confident that the students can easily identify the closest tenth. Say: In mathematics, rather than asking which whole number is the closest, we ask which whole number we should ro und o f f to. When we round off to 2, we mean that the closest whole number is 2. When we round off to 1, we mean that the closest whole number is 1. Ask: State a number that rounds off to the nearest tenth to 2.6. A possible response: 2.61 rounds off to 2.6. Ask: State a number that rounds off to 9, the nearest whole number. A possible response: 8.7 rounds off to 9. Ask: To which whole number should we round off 1.5? Although the distances of 1.5 from 1 and from 2 are the same, so there is no closest whole number to 1.5, but the common convention is to round off to the larger number, 2 in this case. Say: Because we are using base 10 number system, there are 10 optional digits in every place value. So 5 digits (0, 1, 2, 3, 4) round down and 5 digits (5, 6, 7, 8, 9) round up. Ask: What is the largest decimal that rounds off to 3, with two decimal digits?

4 4 The largest decimal (with two decimal digits) that rounds off to 3 is 3.49, because the next number (with two decimal digits) is 3.50 which rounds off to 4, according to the convention. Ask: What is the smallest decimal that rounds off to 5, with two decimal digits? The smallest decimal (with two decimal digits) that rounds off to 5 is 4.50, because 4.49 rounds down to 4, and according to the convention 4.50 round up to 5. Ask: What is the largest decimal (with two decimal digits) that rounds off to the nearest tenth to 7.4? The largest decimal (with two decimal digits) that rounds to 7.4 is 7.44, because the next decimal with two decimal digits is 7.45, which rounds off to Ask: What is the smallest decimal (with two decimal digits) that rounds off to the nearest tenth to 9.1? The smallest decimal (with two decimal digits) that rounds off to 9.1 is Ask: What does "round off 2.7 to the nearest whole" mean? It is asking if 2.7 is closer to 2 or 3. Ask: Round off to the nearest tenth. What do we get? To the nearest tenth, rounds off to Ask: Round off to the nearest whole. What do we get? To the nearest whole, rounds off to 16. Ask: Round off to the nearest ten (that is asking which is closer, 10 or 20?). What do we get? To the nearest ten, rounds off to 20.

5 5 Say: Round off to the nearest hundred. What do we get? To the nearest hundred, rounds off to 0. T e ac he r prese nt s M at h game : Wei ghi ng M at t e rs - R o und De c i mal s 10 min Present Matific s episode We ighing M a t t e rs - Ro und De c im a ls to the class, using the projector. This episode allows students to practice the rounding off of decimals in the context of weight measurements. Find the weight of a cubic-cm of a certain material using a balance scale and weights of 1gr, 0.1gr and 0.01gr, and round off the answer as requested. Example : Say: Please read the instructions at the bottom of the screen. Say: First we are being asked how much a cubic cm of chalk weighs. In order to answer this question we need to place the chalk on one side of the scale and then place weights on the other side of

6 6 the scale until the scale is balanced. Place the chalk on the left side of the scale. Ask: What weight should we place first on the left side the 1g, 0.1g or 0.01g? We should first place the 1g weight in order to estimate whether the chalk weighs more or less than 1g. If we place the 0.1g or the 0.01g first, we might need to add several more weights later on, and the fewer the weights, the easier the problem becomes. Place the 1g weight on the right side of the scale. Ask: What can we tell about the weight of the chalk? How do you know? We can see that the chalk weighs more than 1g since the scale is still tilted to the left. Place another 1g weight on the right side of the scale. Ask: What can we tell about the weight of the chalk now? How do you know? We can see that the chalk weighs more than 2g since the scale is still tilted to the left. Place another 1g weight on the right side of the scale. Ask: What can we tell about the weight of the chalk now? How do you know? We can see that the chalk weighs less than 3g since the scale is now tilted to the right. Remove the 1g weight and place 0.1g weight on the right side of the scale. Ask: What can we tell about the weight of the chalk now? How do you know?

7 7 We can see that the chalk weighs more than 2.1g since the scale is still tilted to the left. Repeat this until there are 2 weights of 1g and 3 weights of 0.1g on the right side of the scale. Ask: What can we tell about the weight of the chalk now? How do you know? We can see that the chalk weighs exactly 2.3g since the scale is balanced and there are 2 weights of 1g and 3 weights of 0.1g on the right side of the scale. Say: Now we are being asked to round off the answer to the nearest gram. Ask: is 2.3 closer to 2 or 3? 2.3 is closer to 2, therefore 2.3g rounded off to the nearest gram is 2g.

8 8 St ude nt s prac t i c e M at h game : Wei ghi ng M at t e rs - R o und De c i mal s 12 min Have students play We ighing M a t t e rs - Ro und De c im a ls on their personal devices. Circulate among them answering their questions. Cl ass di sc ussi o n 10 min Discuss any problems the students faced while working individually. Ask the class for responses as to how they dealt with any issues their classmates brought up. Display the following problems. Have students solve the equations, and then round off the solution to the nearest ten, the nearest whole and the nearest tenth: = = = = = = Have the students work in their notebooks. When the students have finished working, review the solutions. Discuss any questions they may have.

9 = 7.41 To the nearest ten, 7.41 rounds to 10. To the nearest whole, 7.41 rounds to 7. To the nearest tenth, 7.41 rounds to = 6.91 To the nearest ten, 6.91 rounds to 10. To the nearest whole, 6.91 rounds to 7. To the nearest tenth, 6.91 rounds to = To the nearest ten, rounds to 20. To the nearest whole, rounds to 19. To the nearest tenth, rounds to = To the nearest ten, rounds to 30. To the nearest whole, rounds to 31. To the nearest tenth, rounds to = To the nearest ten, rounds to 20. To the nearest whole, rounds to 24. To the nearest tenth, rounds to = 2.44 To the nearest ten, 2.44 rounds to 0.

10 10 To the nearest whole, 2.44 rounds to 2. To the nearest tenth, 2.44 rounds to 2.4.

E xpe rii e nc e step-by-step guidance with long division

E xpe rii e nc e step-by-step guidance with long division 1 План урока Long Division Algorithm with 4 Digit Divid end Возрастная группа: 5 t h Grade, 6t h Grade Virginia - Mathematics Standards of Learning (2009): 4.4 c, 5.4 Virginia - Mathematics Standards of

More information

Study Guide: 5.1 Rounding Decimals

Study Guide: 5.1 Rounding Decimals Standard: 5.1- The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth. What you need to know: How to round to the nearest whole number (which is the

More information

Place Value

Place Value Place Value Finding the of a decimal: Step 1: Find the in the decimal. The is what separates the whole numbers from the decimal numbers. The whole numbers are the digits to the left of the. The decimal

More information

Gap Closing. Representing and Comparing Decimals. Junior / Intermediate Student Book

Gap Closing. Representing and Comparing Decimals. Junior / Intermediate Student Book Gap Closing Representing and Comparing Decimals Junior / Intermediate Student Book Module 7 Representing and Comparing Decimals Diagnostic...4 Representing Decimal Tenths...7 Representing Decimal Hundredths...10

More information

STRATEGIES ACHIEVE MATHEMATICS SUCCESS

STRATEGIES ACHIEVE MATHEMATICS SUCCESS STAMS SERIES D STRATEGIES TO ACHIEVE MATHEMATICS SUCCESS PROVIDES INSTRUCTIONAL ACTIVITIES FOR 12 MATHEMATICS STRATEGIES USES A STEP-BY-STEP APPROACH TO ACHIEVE MATHEMATICS SUCCESS PREPARES STUDENTS FOR

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

Rounding. Problem of the Day. MPs. Procedural Lesson Grade 4 Unit 1 Lesson 4. Objective: Today, I will round multi-digit whole numbers.

Rounding. Problem of the Day. MPs. Procedural Lesson Grade 4 Unit 1 Lesson 4. Objective: Today, I will round multi-digit whole numbers. Rounding Procedural Lesson Grade 4 Unit 1 Lesson 4 MC: 4.NBT.3 MPs Applied MP * Embedded MP 1 2 3 4 5 6 7 8 * * * * * Student Journal Pages Problem of the Day 25-32 Objective: Today, I will round multi-digit

More information

Rounding Whole Numbers

Rounding Whole Numbers s e s s i o n 1. 7 A Rounding Whole Numbers Math Focus Points Using place value understanding to round whole numbers to the nearest ten or hundred Telling time to the nearest 5 minutes and measuring time

More information

Exemplar for Internal Achievement Standard. Mathematics and Statistics Level 1

Exemplar for Internal Achievement Standard. Mathematics and Statistics Level 1 Exemplar for Internal Achievement Standard Mathematics and Statistics Level 1 This exemplar supports assessment against: Achievement Standard Investigate a given multivariate data set using the statistical

More information

8. A. 5.62; 5 wholes, 6 tenths, and 2 hundredths B C. 6 D A.* two and three-hundredths. B.* and 2.03

8. A. 5.62; 5 wholes, 6 tenths, and 2 hundredths B C. 6 D A.* two and three-hundredths. B.* and 2.03 Student Guide Questions 2 (SG pp. 466 4). A.* A denominator of means the whole is divided into equal parts. In this case, one dollar is divided into cents. * A numerator of means we are interested in of

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

Number & Place Value: Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit.

Number & Place Value: Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit. Number & Place Value: Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit. Learning focus Read large numbers, recognising when to change between hundreds,

More information

MATH STUDENT BOOK. 7th Grade Unit 3

MATH STUDENT BOOK. 7th Grade Unit 3 MATH STUDENT BOOK 7th Grade Unit 3 Unit 3 Decimals Math 703 Decimals Introduction 3 1. Decimals and Their Operations 5 Comparing and Ordering Decimals 5 Rounding and Estimating Decimals 11 Adding and Subtracting

More information

Basketball Packaging. Basketball Packaging. 1 of 10. Copyright 2008, Exemplars, Inc. All rights reserved.

Basketball Packaging. Basketball Packaging. 1 of 10. Copyright 2008, Exemplars, Inc. All rights reserved. The Bouncing Basketball Company is looking to design a new carton to ship 24 basketballs. Each basketball comes in a box that measures 1 foot on every side, and the company wants to put 24 of these boxes

More information

Practice Task: Trash Can Basketball

Practice Task: Trash Can Basketball Fourth Grade Mathematics Unit 5 Practice Task: Trash Can Basketball STANDARDS FOR MATHEMATICAL CONTENT MCC4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons

More information

Lesson 3: Using the Pythagorean Theorem. The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1

Lesson 3: Using the Pythagorean Theorem. The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1 Lesson 3: Using the Pythagorean Theorem The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1 A sailboat leaves dock and travels 6 mi due east. Then it turns 90 degrees

More information

UNIT 7 PRACTICE PROBLEMS

UNIT 7 PRACTICE PROBLEMS UNIT 7 PRACTICE PROBLEMS 1 Shade the indicated quantity and rewrite in the indicated forms a) 38 hundredths b) 15 100 Decimal: Expanded Form: Fraction Form: Decimal: Expanded Form: Word Name: c) 2 tenths

More information

USE INEQUALITY NOTATION TO SPECIFY SIMPLE ERROR INTERVALS DUE TO TRUNCATION OR ROUNDING (foundation and higher tier)

USE INEQUALITY NOTATION TO SPECIFY SIMPLE ERROR INTERVALS DUE TO TRUNCATION OR ROUNDING (foundation and higher tier) N15 USE INEQUALITY NOTATION TO SPECIFY SIMPLE ERROR INTERVALS DUE TO TRUNCATION OR ROUNDING (foundation and higher tier) You should be able to find least and greatest value of a number that has been rounded

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

NYC Marathon Quarter 1 Review Task. The New York City Marathon was last weekend. Over 50,000 people ran 26.2 miles around the city!

NYC Marathon Quarter 1 Review Task. The New York City Marathon was last weekend. Over 50,000 people ran 26.2 miles around the city! NYC Marathon Quarter 1 Review Task Name: Alg: The New York City Marathon was last weekend. Over 50,000 people ran 26.2 miles around the city! 1. The 2015 male winner was Stanely Biwott, his time was 2

More information

Lesson 22: Getting the Job Done Speed, Work, and Measurement Units

Lesson 22: Getting the Job Done Speed, Work, and Measurement Units Lesson 22: Getting the Job Done Speed, Work, and Measurement Units Student Outcomes Students decontextualize a given speed situation, representing symbolically the quantities involved with the formula.

More information

NAMC. About. Material Description. Discovering More. Red Rods

NAMC. About. Material Description. Discovering More. Red Rods About Red Rods Red Rods Teacher demonstrates comparing a rod against other rods This most important set of blocks will have its principal application in arithmetic, as we shall see. With it, one may count

More information

Looking a fossil horse in the mouth! Using teeth to examine fossil horses!

Looking a fossil horse in the mouth! Using teeth to examine fossil horses! Looking a fossil horse in the mouth Using teeth to examine fossil horses Virginia Museum of Natural History Paleontology Department Fossil Teaching Kit 1 Teacher s Guide In this activity students will

More information

March Madness Basketball Tournament

March Madness Basketball Tournament March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: -Print out all the worksheets. -Introduce

More information

Grade: 8. Author(s): Hope Phillips

Grade: 8. Author(s): Hope Phillips Title: Tying Knots: An Introductory Activity for Writing Equations in Slope-Intercept Form Prior Knowledge Needed: Grade: 8 Author(s): Hope Phillips BIG Idea: Linear Equations how to analyze data from

More information

Name Date Class. Use the number 123,456, to indicate the digit filling the place. 1. Tens 2. Tenths 3. Thousand

Name Date Class. Use the number 123,456, to indicate the digit filling the place. 1. Tens 2. Tenths 3. Thousand Chapter 2 Practice 2-1 Place Value Use the number 123,456,789.1234 to indicate the digit filling the place. 1. Tens 2. Tenths 3. Thousand 4. Ten-thousandth 5. Ten-million 6. Hundredth Use the number 321.9876543

More information

a. Cari s first tank is 4 feet wide, 8 feet long and 5 feet high. How many cubic feet of water can her tank hold?

a. Cari s first tank is 4 feet wide, 8 feet long and 5 feet high. How many cubic feet of water can her tank hold? 5.MD Cari's Aquarium Alignments to Content Standards: 5.MD.C.5.b Task Cari is the lead architect for the city s new aquarium. All of the tanks in the aquarium will be rectangular prisms where the side

More information

Gears Ratios and Speed / Problem Solving

Gears Ratios and Speed / Problem Solving Teacher Mechanics Note to the teacher On this page, students will learn about the relationship between gear ratio, gear rotational speed, wheel radius, diameter, circumference, revolutions and distance.

More information

Mathematics (Project Maths Phase 3)

Mathematics (Project Maths Phase 3) *B6* Pre-Leaving Certificate Examination, 2014 Triailscrúdú na hardteistiméireachta, 2014 Mathematics (Project Maths Phase 3) Paper 1 Ordinary Level 2½ hours 300 marks Name: School: Address: Class: Teacher:

More information

The Pythagorean Theorem Diamond in the Rough

The Pythagorean Theorem Diamond in the Rough The Pythagorean Theorem SUGGESTED LEARNING STRATEGIES: Shared Reading, Activating Prior Knowledge, Visualization, Interactive Word Wall Cameron is a catcher trying out for the school baseball team. He

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

Special Right Triangle Task Cards

Special Right Triangle Task Cards Special Right Triangle Task Cards 45-45-90 and 30-60-90 Special Right Triangle Task Cards 45-45-90 and 30-60-90 Teachers: I have included 2 sets of task cards. The first set (slides 3-9) asks for the answer

More information

The Bruins I.C.E. School Math 1 st and 2 nd Grade Curriculum Materials. Lesson 3: Comparing Numbers Using <,> and = Symbols

The Bruins I.C.E. School Math 1 st and 2 nd Grade Curriculum Materials. Lesson 3: Comparing Numbers Using <,> and = Symbols The Bruins I.C.E. School Math Curriculum Materials Lesson 1: Number Sequence Lesson 2: Odd/Even Numbers Lesson 3: Comparing Numbers Using and = Symbols Lesson 4: Classifying Angles Lesson 5: Decimals

More information

mentoringminds.com MATH LEVEL 5 Student Edition Sample Page Unit 7 Introduction Name

mentoringminds.com MATH LEVEL 5 Student Edition Sample Page Unit 7 Introduction Name Student Edition Sample Page Name 1. Place a dot on the approximate location of 12.369 on the number line. Introduction 4. Jeremiah rounded a number to 8.7. What could the original number have been? 12.3

More information

2. Write a decimal that is equivalent. 4. Which of the following is NOT equal to ½? a. 0.5

2. Write a decimal that is equivalent. 4. Which of the following is NOT equal to ½? a. 0.5 Name Standard: 30.NF.5 express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100 (e.g.,

More information

Sum Fun Tournament Meeting (Multiple Topics)

Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below

More information

2018 School Competition Sprint Round Problems 1 30

2018 School Competition Sprint Round Problems 1 30 Name 08 School Competition Sprint Round Problems 0 0 4 5 6 7 8 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. 9 This section of the competition consists of 0 problems. You will have 40 minutes to complete

More information

MATHCOUNTS State Competition Target Round Problems 1 and 2 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.

MATHCOUNTS State Competition Target Round Problems 1 and 2 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. MATHCOUNTS Name School Chapter 2006 State Competition Target Round Problems 1 and 2 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of eight problems, which will

More information

Measuring Length. Goals. You will be able to

Measuring Length. Goals. You will be able to Measuring Length Goals You will be able to choose, use, and rename metric length measurements measure perimeters of polygons solve problems using diagrams and graphs Running in a Triathlon Racing Snails

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

Pre-Algebra Chapter 3 Decimals and Equations

Pre-Algebra Chapter 3 Decimals and Equations Pre-Algebra Chapter 3 Decimals and Equations SOME NUMBERED QUESTIONS HAVE BEEN INTENTIONALLY DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU

More information

Ti-Pure TITANIUM DIOXIDE DETERMINATION OF OIL ABSORPTION (OA) METHOD: T WP

Ti-Pure TITANIUM DIOXIDE DETERMINATION OF OIL ABSORPTION (OA) METHOD: T WP Ti-Pure TITANIUM DIOXIDE DETERMINATION OF OIL ABSORPTION (OA) METHOD: T4400.010.06.WP 1 TITANIUM DIOXIDE (Ti-Pure ) Determination of Oil Absorption I. Principle The oil absorption of a sample of titanium

More information

Unit 3. Collections and Travel Stories. Building 1,000. Common Core

Unit 3. Collections and Travel Stories. Building 1,000. Common Core Unit 3 Collections and Travel Stories Common Core Mathematical Practices (MP) Domains Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) Measurement and Data (MD) INVESTIG ATION

More information

Grade 6 Lesson 1. Lesson Plan. Page 2. Guided Practice Handout. Page 4. Student Activity Handout Page 5

Grade 6 Lesson 1. Lesson Plan. Page 2. Guided Practice Handout. Page 4. Student Activity Handout Page 5 Grade 6 Lesson 1 Item Lesson Plan Page Page 2 Guided Practice Handout Page 4 Activity Handout Page 5 Marlins Think Tank: Sixth Grade Math Lesson Plan #1 VISION-SETTING OBJECTIVE. What is your objective?

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

2018 Chapter Competition Countdown Round Problems 1 80

2018 Chapter Competition Countdown Round Problems 1 80 2018 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2018 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company

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

Bellwork MCT Practice Test (Form A) Problem numbers.

Bellwork MCT Practice Test (Form A) Problem numbers. Course 7 th Grade Math Student Objective (Obj. 5d) TSW determine probability through experimentation and calculations. DETAIL LESSON PLAN Tuesday, April 16 / Wednesday, April 17 Lesson 12-1, 12-2 Probability

More information

The Battleship North Carolina s Fire Control

The Battleship North Carolina s Fire Control The Battleship North Carolina s Fire Control Objectives: 1. Students will see the application of trigonometry that the Mark 14 gun sight used with the 20mm guns aboard the NC Battleship. (Geometry SCOS:

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

ACTIVITY: Finding a Formula Experimentally

ACTIVITY: Finding a Formula Experimentally 8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack

More information

8.1 The Law of Sines Congruency and Oblique Triangles Using the Law of Sines The Ambiguous Case Area of a Triangle

8.1 The Law of Sines Congruency and Oblique Triangles Using the Law of Sines The Ambiguous Case Area of a Triangle Chapter 8 Applications of Trigonometry 8-1 8.1 The Law of Sines Congruency and Oblique Triangles Using the Law of Sines The Ambiguous Case Area of a Triangle A triangle that is not a right triangle is

More information

Exploring Measures of Central Tendency (mean, median and mode) Exploring range as a measure of dispersion

Exploring Measures of Central Tendency (mean, median and mode) Exploring range as a measure of dispersion Unit 5 Statistical Reasoning 1 5.1 Exploring Data Goals: Exploring Measures of Central Tendency (mean, median and mode) Exploring range as a measure of dispersion Data: A set of values. A set of data can

More information

Learning Objectives Source/Example Questions

Learning Objectives Source/Example Questions Grade and Strand Learning Objectives Source/Example Questions.ca Ascent Education: http://questions.ascenteducatio n.com.ca A tree 66 meters high casts a 44-meter shadow. Find the angle of elevation of

More information

Readiness: Scuba Diving

Readiness: Scuba Diving Readiness: Scuba Diving AUTHOR INTENT Scuba diving is a real-world activity where each diver has to be responsible for their own safety. The safety of the divers relies on mathematics. The math reviewed

More information

Read ENTIRE lab up to Disposal Section. MAKE NOTES!!! **For Procedures, Highlight equipment used and circle quantities measured out.

Read ENTIRE lab up to Disposal Section. MAKE NOTES!!! **For Procedures, Highlight equipment used and circle quantities measured out. Lab Ch 2 Mass, Volume, & Density Lab Partners: READ Prelab!!! Read ENTIRE lab up to Disposal Section. MAKE NOTES!!! **For Procedures, Highlight equipment used and circle quantities measured out. Density

More information

Third Grade Pre/Post Test

Third Grade Pre/Post Test Third Grade Pre/Post Test Instructions: Questions 1-53 Choose the best answer for each question. What fractional part of the rectangle is shaded? How much is of 20 pennies? $.01 $.05 $.10 $.15 What is

More information

Practice Test. 2 What is the area of this figure?

Practice Test. 2 What is the area of this figure? Practice Test 1 Which letter has a line of symmetry? S J R W L 3 Jane's house has a garden which is in the shape of a square. If each side of the garden is 18 feet then what is the perimeter of the garden?

More information

GRADE LEVEL(S): Grade 4, Grade 5

GRADE LEVEL(S): Grade 4, Grade 5 WRITTEN BY; TITLE: George Skip Toops Step It Up!! GRADE LEVEL(S): Grade 4, Grade 5 TIME ALLOTMENT: One lesson, 30 50 minutes long depending on how many students are in the class. Students will have some

More information

Grade 8 / Scored Student Samples ITEM #5 SMARTER BALANCED PERFORMANCE TASK

Grade 8 / Scored Student Samples ITEM #5 SMARTER BALANCED PERFORMANCE TASK Grade 8 / Scored Student Samples ITEM #5 SMARTER BALANCED PERFORMANCE TASK Focus Standards and Claim Stimulus Claim 4 7.EE.B.4 Stacks of Cups Your science classroom uses cups for many experiments. Your

More information

TOPIC III: Proportional Reasoning. Good Luck to:

TOPIC III: Proportional Reasoning. Good Luck to: Good Luck to: Period: Date DIRECTIONS: Show all work in the space provided. 1. Joniqua wants to get an A in her Algebra 1 class. So far she has four test scores; 77%, 83%, 97%, and 95%. Which choice best

More information

MATHCOUNTS 2005 State Competition Target Round Problems 1 and 2

MATHCOUNTS 2005 State Competition Target Round Problems 1 and 2 MATHCOUNTS 2005 State Competition Target Round Problems 1 and 2 Name School Chapter DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of eight problems, which will

More information

Performance Task # 1

Performance Task # 1 Performance Task # 1 Goal: Arrange integers in order. Role: You are a analyzing a Julie Brown Anderson s dive. Audience: Reader of article. Situation: You are interviewing for a job at a sports magazine.

More information

Sept 23, 2014 LAB MANUAL

Sept 23, 2014 LAB MANUAL Sept 23, 2014 LAB MANUAL 1000.0 1000 STANDARD PRACTICES 1000.1 CALCULATIONS and FORMS Throughout this manual there are test calculation procedures. These calculations are provided so that a technician

More information

Name Date Period. E) Lowest score: 67, mean: 104, median: 112, range: 83, IQR: 102, Q1: 46, SD: 17

Name Date Period. E) Lowest score: 67, mean: 104, median: 112, range: 83, IQR: 102, Q1: 46, SD: 17 Chapter 6 Review Standards: 4, 7, 8, and 11 Name Date Period Write complete answers, using complete sentences where necessary. Show your work when possible. MULTIPLE CHOICE. Choose the one alternative

More information

H on using estimation

H on using estimation H on using estimation To the Student In FOCUS on Using Estimation, Book H, you will read problems and answer questions. You will practice using a math strategy called Using Estimation. You will learn about

More information

Rounding numbers. 10/12/2017 Free gta 5 online money hack no survey 10/13/2017. Examples of exchange of money in huck finn 10/15/2017

Rounding numbers. 10/12/2017 Free gta 5 online money hack no survey 10/13/2017. Examples of exchange of money in huck finn 10/15/2017 Rounding numbers 10/12/2017 Free gta 5 online money hack no survey 10/13/2017 Examples of exchange of money in huck finn 10/15/2017 -Kennedy ulcer images -Big winners at lyton casino in san pablo 10/17/2017

More information

RELEASED. North Carolina READY End-of-Grade Assessment Mathematics. Grade 4. Student Booklet

RELEASED. North Carolina READY End-of-Grade Assessment Mathematics. Grade 4. Student Booklet REVISE 7//205 Released Form North arolina REY End-of-Grade ssessment Mathematics Grade Student ooklet cademic Services and Instructional Support ivision of ccountability Services opyright 203 by the North

More information

GCSE 185/08 MATHEMATICS FOUNDATION TIER PAPER 2. A.M. THURSDAY, 17 November hours. Centre Number. Candidate Number. Surname.

GCSE 185/08 MATHEMATICS FOUNDATION TIER PAPER 2. A.M. THURSDAY, 17 November hours. Centre Number. Candidate Number. Surname. Surname Other Names Centre Number 0 Candidate Number GCSE 185/08 MATHEMATICS FOUNDATION TIER PAPER 2 A.M. THURSDAY, 17 November 2011 2 hours For s use Question Maximum Mark Mark Awarded ADDITIONAL MATERIALS

More information

5.3 Standard Deviation

5.3 Standard Deviation 5.3 Standard Deviation YOU WILL NEED calculator OR computer with spreadsheet software EXPLORE A teacher has two chemistry classes. She gives the same tests to both classes. Examine the mean mark for each

More information

Unit 3 Trigonometry. 3.1 Use Trigonometry to Find Lengths

Unit 3 Trigonometry. 3.1 Use Trigonometry to Find Lengths Topic : Goal : Unit 3 Trigonometry trigonometry I can use the primary trig ratios to find the lengths of sides in a right triangle 3.1 Use Trigonometry to Find Lengths In any right triangle, we name the

More information

HUNGRY, HUNGRY HIPPOS Learn about the 3rd largest mammal in the world. He weighs over 5,000 pounds and only eats plants!

HUNGRY, HUNGRY HIPPOS Learn about the 3rd largest mammal in the world. He weighs over 5,000 pounds and only eats plants! HUNGRY, HUNGRY HIPPOS Learn about the 3rd largest mammal in the world. He weighs over 5,000 pounds and only eats plants! Grade(s): 2-4 Objectives (grade dependent): Student(s) will be able to: use place

More information

1) Solve for x. Round answers to the nearest tenth. (1 mark each = 2 marks)

1) Solve for x. Round answers to the nearest tenth. (1 mark each = 2 marks) WorkPlace Math 20 Chapter 1 Review Name /60 1) Solve for x. Round answers to the nearest tenth. (1 mark each = 2 marks) 3 x 4.3 2 a) = b) = 0 8 x 2) Calculate the slope. Express our answers as a fraction

More information

Teaching Notes. Contextualised task 35 The 100 Metre Race

Teaching Notes. Contextualised task 35 The 100 Metre Race Contextualised task 35 The 100 Metre Race Teaching Notes This activity involves interpreting data presented in different forms to compare speed, distance and time. The aim is to find who might win a race

More information

The following reference pages can be downloaded, given to your learners, who can put them to one side until needed.

The following reference pages can be downloaded, given to your learners, who can put them to one side until needed. Retail Maths Numeracy skills are needed in many retail activities. Your employees will need to measure, and to work out maths problems daily. Sometimes it is good to have a general reference page for them

More information

The Bruins I.C.E. School

The Bruins I.C.E. School The Bruins I.C.E. School Lesson 1: Addition & Subtraction Word Problems Lesson 2: Extend the Counting Sequence Lesson 3: Extend the Counting Sequence Lesson 4: Understand Place Value Lesson 5: Represent

More information

Front Crawl Lesson Plan

Front Crawl Lesson Plan Front Crawl Lesson Plan Lead Names Activity Front Crawl Year Age Number: Date Time Duration 40 mins Special Consideration Personal Aims THIS LESSON PLAN HAS NO PICTURES/DIAGRAMS, THIS IS TO ENCOURAGE PROFESSIONAL

More information

COMPREHENSIVE ASSESSMENT OF MATHEMATICS STRATEGIES

COMPREHENSIVE ASSESSMENT OF MATHEMATICS STRATEGIES CAMS SERIES D COMPREHENSIVE ASSESSMENT OF MATHEMATICS STRATEGIES USES MATHEMATICS STRATEGIES TO STRENGTHEN THE UNDERSTANDING OF NUMBER CONCEPTS AND OPERATIONS IDENTIFIES LEVEL OF MASTERY FOR 1 MATHEMATICS

More information

Topic A: Understand Concepts About the Ruler... 4 Lesson Happy Counting Two More Lesson

Topic A: Understand Concepts About the Ruler... 4 Lesson Happy Counting Two More Lesson FLUENCY Grade 2, Mission 2 Explore Length Fluencies Topic A: Understand Concepts About the Ruler... 4 Lesson 1... 4 Happy Counting 20 40... 4 Two More... 4 Lesson 2... 5 Renaming the Say Ten Way... 5 Say

More information

Investigating Hominoid Fossils Laboratory

Investigating Hominoid Fossils Laboratory Biology I Unit V: Zoology Chapter 25-28 & DOL: Vertebrates Investigating Hominoid Fossils Laboratory Name: Date: Hour: Investigating Hominoid Fossils Laboratory Pre-Lab Discussion Because hominoid fossils

More information

AP Statistics Midterm Exam 2 hours

AP Statistics Midterm Exam 2 hours AP Statistics Midterm Exam 2 hours Name Directions: Work on these sheets only. Read each question carefully and answer completely but concisely (point values are from 1 to 3 points so no written answer

More information

Place Value in Whole Numbers

Place Value in Whole Numbers Place Value in Whole Numbers Home Link 1-1 Family Note In this lesson your child explored the relationships between place values in numbers. Have your child read each number below. Examine the digit 6

More information

Lesson 20: Estimating a Population Proportion

Lesson 20: Estimating a Population Proportion Student Outcome Students use data from a random sample to estimate a population proportion. Lesson tes In this lesson, students continue to work with random samples and the distribution of the sample proportions.

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

A school trip. An evening of your favourite television programmes. A rehearsal plan. To cook a two course meal.

A school trip. An evening of your favourite television programmes. A rehearsal plan. To cook a two course meal. Experience & Outcome: MNU 2-10a use and interpret electronic and paper-based timetables and schedules to plan events and activities, and make time calculations as part of my planning. recognise types of

More information

Experiment #2. Density and Measurements

Experiment #2. Density and Measurements Experiment #2. Density and Measurements Goals 1. To measure and record length, volume and mass accurately with the correct number of significant figures 2. To use significant figures correctly in calculations.

More information

Chapter 9 Review/Test

Chapter 9 Review/Test Name Chapter 9 Review/Test Personal Math Trainer Online Assessment and Intervention 1. Select a number shown by the model. Mark all that apply. 14 40 1.4 1 4 14 4.1 2. Rick has one dollar and twenty-seven

More information

Mathematics Set A Paper 2: reasoning

Mathematics Set A Paper 2: reasoning Key Stage 2 Mathematics Set A Paper 2: reasoning Name School Date of Birth Day Month Year 1 Instructions Do not use a calculator to answer the questions in this test. Questions and answers You have 40

More information

The Science of Golf. Test Lab Toolkit The Score: Handicap. Facilitator Guide Grades 6-8

The Science of Golf. Test Lab Toolkit The Score: Handicap. Facilitator Guide Grades 6-8 The Science of Golf Test Lab Toolkit The Score: Facilitator Guide Grades 6-8 Science Technology Engineering Mathematics Table of Contents Welcome to the Test Lab 02 How to Use the Toolkit 03 Investigate:

More information

3. A shirt is priced at $32.00 now. If the shirt goes on sale for 30% off the current price, what will be the sale price of the shirt?

3. A shirt is priced at $32.00 now. If the shirt goes on sale for 30% off the current price, what will be the sale price of the shirt? 1 Math 1 - Proportions & Probability Part 2 PERCENT INCREASE AND DECREASE To increase a number by a percent, add the percent to 100%, convert to a decimal, and multiply. To increase 40 by 25%, add 25%

More information

4. For parts (a) (d), copy the number line below. Locate and label a point representing each fraction described.

4. For parts (a) (d), copy the number line below. Locate and label a point representing each fraction described. A C E Applications Connections Extensions Applications Investigation. Describe, in writing or with pictures, how compares to.. Multiple Choice On a number line from 0 to 0, where is located? A. between

More information

Vocabulary: Objectives: Materials: For Each Station: (Have 2 stations for each liquid; 8 stations total, in student groups of 3-4) Students will:

Vocabulary: Objectives: Materials: For Each Station: (Have 2 stations for each liquid; 8 stations total, in student groups of 3-4) Students will: Author: Ms. Adrienne Maribel López Date Created: August 2007 Subject: Properties of Matter Level: 6 th 8 th grade Standards: NYS Learning Standards for Mathematics, Science, and Technology-- Intermediate

More information

Teacher s Resource Pack

Teacher s Resource Pack Teacher s Resource Pack Stage 4 & Stage 5 Mathematics Book your excursion today! Call (02) 8251 7801 Welcome to SEA LIFE Sydney Aquarium s Mathematics Student Resources Teacher Notes A trip to SEA LIFE

More information

Find Mean, Median, Mode, and Outlier

Find Mean, Median, Mode, and Outlier SS SDA G6.S.5.c 2 dentify Giving the mode(s) quantitative for sets measures of categorical of center (median data, and/or the mean) and variability (interquartile mode(s), range median, and/or and mean

More information

DECIMALS. Chapter INTRODUCTION

DECIMALS. Chapter INTRODUCTION hut6929_ch04_a.qxd 2/8/04 2:47 PM Page 279 Chapter DECIMALS 4 INTRODUCTION When you look into the cockpit of a plane, you have to be impressed with the number of gauges that face the pilot. It is remarkable

More information

1. Determining Solution Concentration

1. Determining Solution Concentration In this exercise you will determine the concentration of salt solutions by measuring samples with known concentration and making a calibration curve. You will review units of concentration, and how to

More information

Rounding, Estimation, and Order

Rounding, Estimation, and Order 1.4 Rounding, Estimation, and Order 1.4 OBJECTIVES 1. Round a whole number at any place value 2. Estimate sums and differences by rounding 3. Estimate distance 4. Use the symbols and It is a common practice

More information

%10 %10 %10 %20 %20 %30 %20 %30 %40 %40

%10 %10 %10 %20 %20 %30 %20 %30 %40 %40 Copyright 202 All rights reserved. The purchaser may make copies for individual, classroom, or home use. Reproduction for school wide or district wide use is prohibited. To obtain permission to use material

More information

Histogram. Collection

Histogram. Collection Density Curves and Normal Distributions Suppose we looked at an exam given to a large population of students. The histogram of this data appears like the graph to the left below. However, rather than show

More information

Recording Significant Figures

Recording Significant Figures Recording Significant Figures Having the correct significant figures in your lab reports begins with recording the correct significant figures from the data you obtain in lab. This packet will demonstrate

More information