Wheels Radius / Distance Traveled

Size: px
Start display at page:

Download "Wheels Radius / Distance Traveled"

Transcription

1 Mechanics Teacher Note to the teacher On these pages, students will learn about the relationships between wheel radius, diameter, circumference, revolutions and distance. Students will use formulas relating these measurements to compute the distance a wheel of given radius travels for a given number of wheel revolutions. Students will have to use both fractions and decimals to make these calculations. While the worksheet is designed to help students learn the geometry of the circle and the relationship between wheel size, revolutions and distance, and may be completed by students with little background in these areas, the existing ability to multiply fractions and decimals will be necessary to successfully complete the worksheet. Teachers may wish to review any or all of these skills depending on their students background. Note that there are no instructions regarding rounding. The answers assume rounding to digits beyond the decimal place, except for known fractions. Teachers may wish to supply additional instructions. If they do not, students answers will vary slightly according to what rounding conventions they use. The illustration below explains and reinforces the relationships between radius, diameter and circumference. is the measurement of a straight line from the center of a circle to the edge. will always equal one half diameter. is the measurement of a straight line across the center of an object (in this case a wheel). The circumference of a circle is the total distance around its outside. equals the diameter of the circle times, which is about 3.4. One revolution of a wheel will make it move a distance equal to its circumference. 5.4

2 Teacher Mechanics An example is shown below. Complete the information on the following pages. Example If the wheel below makes one revolution, how far will it go? Use the tables below to find the answer /6" After reviewing the concepts, students are expected to use the following procedure: Identify the radius written below a pictured wheel (.) Enter it in the box labeled Multiply the radius by to calculate the diameter and enter this number in the box labeled Multiply this diameter by π, simplified to 3.4, to find the circumference Find the number of revolutions specified in the instructions (.) Enter it in the box labeled Multiply this number by the number calculated for circumference to find the distance the wheel will travel Approximate classroom time: 0-0 minutes depending on students background 5.5

3 Mechanics Teacher Students successfully completing the worksheet will be able to:. Identify radius from a labeled drawing. Describe the geometry of a circle 3. Describe the relationship between radius, diameter, circumference, revolutions and distance for a wheel 4. Calculate diameter from radius 5. Calculate circumference from diameter 6. Calculate distance from wheel circumference and revolutions 7. Multiply decimals and fractions Standards addressed: Math Standards Numbers and Operations Algebra Geometry Measurement Problem Solving Technology Standards The Nature of Technology Standards ; Design 8, 9 Note: Workbook answers begin on the next page. 5.6

4 Teacher Mechanics is the measurement of a straight line from the center of a circle to the edge. will always equal one half diameter. is the measurement of a straight line across the center of an object (in this case a wheel). The circumference of a circle is the total distance around its outside. equals the diameter of the circle times, which is about 3.4. One revolution of a wheel will make it move a distance equal to its circumference. An example is shown below. Complete the information on the following pages. Example If the wheel below makes one revolution, how far will it go? Use the tables below to find the answer..565" x = 3.5" 3.5" x 3.4 = 9.8" 9 /6" 9.8" x = 3 9.8" 5.7

5 Mechanics Teacher If the wheel below completes.75 revolutions, how far will it go? Use the tables below to find the answer /3" If the wheel below completes 3 /6 revolutions, how far will it go? Use the tables below to find the answer /8"

6 Teacher Mechanics If the wheel below completes.75 revolutions, how far will it go? Normally it s much easier to calculate decimal numbers, rather than fractions, so the first thing we ll do is convert the fraction to a decimal. 5 /3" converts to.47". We know that the circumference the distance a wheel will travel in one revolution is equal to π x D where D is the diameter. Since the, R, is equal to half of the diameter, we can change the equation from C = π x D to: C = π x (R), or, x π x R. 5 /3" If we substitute the values in the equation, we can see that: C = x 3.4 x.47" =.95". Since the wheel makes.75 revolutions, the total distance traveled is: distance =.95 inches / revolution x.75 revolutions = 5.6 inches. If the wheel below completes 3 /6 revolutions, how far will it go? As we saw earlier, calculations are much easier when using decimals, rather than fractions. So the first thing we ll do is convert both numbers, the radius and the number of revolutions, to decimals. The radius of 5 /8" converts to 0.65 and the number of revolutions converts from 3 /6 to.9. 5 /8" To find the circumference, we ll use the equation from the previous problem, C = x π x R or C = x 3.4 x.65" = 3.93". Since the wheel makes.9 revolutions, the total distance traveled is: distance = 3.93 inches / revolution x.9 revolutions = 8.6 inches. Again, because of round off, your students answers may be slightly different. 5.9

Circle - Circumference

Circle - Circumference Name : Score : Circle - Circumference Example : Circumference of a circle = 2πr or πd 8.53 m Diameter (d) = 8.53 m πd = 3.14 x 8.53 26.78 m Find the circumference of each circle. Round the answer to two

More information

DMS, LINEAR AND ANGULAR SPEED

DMS, LINEAR AND ANGULAR SPEED DMS, LINEAR AND ANGULAR SPEED Section 4.1A Precalculus PreAP/Dual, Revised 2017 viet.dang@humbleisd.net 8/1/2018 12:13 AM 4.1B: DMS, Linear and Angular Speed 1 DEGREES MINUTES SECONDS (DMS) A. Written

More information

Mathematics (Project Maths Phase 3)

Mathematics (Project Maths Phase 3) L.20 NAME SCHOOL TEACHER Pre-Leaving Certificate Examination, 2014 Mathematics (Project Maths Phase 3) Paper 2 Higher Level Time: 2 hours, 30 minutes 300 marks For examiner Question Mark 1 2 3 School stamp

More information

Pre-Algebra Unit 2. Rational & Irrational Numbers. Name

Pre-Algebra Unit 2. Rational & Irrational Numbers. Name Pre-Algebra Unit 2 Rational & Irrational Numbers Name Core Table 2 Pre-Algebra Name: Unit 2 Rational & Irrational Numbers Core: Table: 2.1.1 Define Rational Numbers Vocabulary: Real Numbers the set of

More information

Computing Horsepower (HP) Lesson 8

Computing Horsepower (HP) Lesson 8 Computing Horsepower (HP) Lesson 8 Remember: Pretty Please My Dear Aunt Sally (From left to right; Parentheses; Power; Multiply; Divide; Add, Subtract) Today, we re going to find how to compute the one

More information

Circle Notes. Circumference and Area of Circles

Circle Notes. Circumference and Area of Circles Love of Learning Educational Services Bringing Curiosity, Relevance, and Enjoyment to the Math Classroom Circle Notes Circumference and Area of Circles Guided note taking pages for calculating circumference

More information

Pi: The Ultimate Ratio

Pi: The Ultimate Ratio Pi: The Ultimate Ratio Exploring the Ratio of Circle Circumference to Diameter 1 WARM UP Scale up or down to determine an equivalent ratio. 1. 18 miles 3 hours 5? 1 hour 2. $750 4 days 3. 4. 12 in. 1 ft

More information

CK-12 Geometry: Circumference and Arc Length

CK-12 Geometry: Circumference and Arc Length CK-12 Geometry: Circumference and Arc Length Learning Objectives Find the circumference of a circle. Define the length of an arc and find arc length. Review Queue a. Find a central angle in that intercepts

More information

AP Physics 1 Summer Assignment #

AP Physics 1 Summer Assignment # APPhysics1 SummerAssignment AP Physics 1 Summer Assignment Welcome to AP Physics 1. This course and the AP exam will be challenging. AP classes are taught as college courses not just college-level courses,

More information

Shenandoah University. (PowerPoint) LESSON PLAN *

Shenandoah University. (PowerPoint) LESSON PLAN * Shenandoah University (PowerPoint) LESSON PLAN * NAME DATE 10/28/04 TIME REQUIRED 90 minutes SUBJECT Algebra I GRADE 6-9 OBJECTIVES AND PURPOSE (for each objective, show connection to SOL for your subject

More information

MBF 3C Unit 1 Mathematics Review Unit Outline

MBF 3C Unit 1 Mathematics Review Unit Outline MBF 3C Unit 1 Mathematics Review Unit Outline Day Lesson Title Specific Expectations 1 General Review of Grades 7-10 Review Gr. 7-10 2 Review of Ratios Review Gr. 7-10 3 Review of Solving Equations Review

More information

MATHS. 4-week TRIAL. class starter

MATHS. 4-week TRIAL. class starter MATHS -week TRIAL Class Starter MATHS are designed to be used at the beginning of a class as review in the first minutes. Project a SCREEN as your students enter the classroom. When you wish to start your

More information

Write your answers on notebook paper. Show your work.

Write your answers on notebook paper. Show your work. UNIT 6 Getting Ready Use some or all of these exercises for formative evaluation of students readiness for Unit 6 topics. Prerequisite Skills Finding the length of the sides of special right triangles

More information

Section 4.2: Radians, Arc Length, and the Area of a Sector

Section 4.2: Radians, Arc Length, and the Area of a Sector CHAPTER 4 Trigonometric Functions Section 4.: Radians, Arc Length, and the Area of a Sector Measure of an Angle Formulas for Arc Length and Sector Area Measure of an Angle Degree Measure: 368 SECTION 4.

More information

Counting Out πr 2. Teacher Lab Discussion. Overview. Picture, Data Table, and Graph. Part I Middle Counting Length/Area Out πrinvestigation

Counting Out πr 2. Teacher Lab Discussion. Overview. Picture, Data Table, and Graph. Part I Middle Counting Length/Area Out πrinvestigation 5 6 7 Middle Counting Length/rea Out πrinvestigation, page 1 of 7 Counting Out πr Teacher Lab Discussion Figure 1 Overview In this experiment we study the relationship between the radius of a circle and

More information

11.4 Circumference and Arc Length

11.4 Circumference and Arc Length 11.4 ircumference and rc Length Goal p Find arc lengths and other measures. Your Notes VOULRY ircumference rc length THEOREM 11.8: IRUMFERENE OF IRLE The circumference of a circle is r 5 or 5, where d

More information

Mathematics. Student Workbook. Book 8. 40x Number Knowledge Worksheets 40x Curriculum Strand Worksheets

Mathematics. Student Workbook. Book 8. 40x Number Knowledge Worksheets 40x Curriculum Strand Worksheets Written in NZ for NZ Mathematics Student Workbook Book 8 40x Number Knowledge Worksheets 40x Curriculum Strand Worksheets This resource covers Level 5 achievement objec ves as outlined in the Mathema cs

More information

The GED math test gives you a page of math formulas that

The GED math test gives you a page of math formulas that Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding

More information

ACTIVITY: Estimating the Area of a Circle

ACTIVITY: Estimating the Area of a Circle 8. Areas of Circles How can you find the area of a circle? ACTIVITY: Estimating the Area of a Circle Work with a partner. Each square in the grid is unit by unit. a. Find the area of the large 0-by-0 square.

More information

Student Outcomes. Lesson Notes. Classwork. Opening Exercises 1 3 (5 minutes)

Student Outcomes. Lesson Notes. Classwork. Opening Exercises 1 3 (5 minutes) Student Outcomes Students calculate the decimal expansion of using basic properties of area. Students estimate the value of expressions such as. Lesson Notes For this lesson, students will need grid paper

More information

Third Grade Report Card Rubric 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern

Third Grade Report Card Rubric 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern Concepts Assessed by Unit and Trimester Units 5, 6, 7, 8 Units 5, 6, 7 Units 5, 6, 7, 8 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern Student exceeds expectations of this unit Student is meeting

More information

Glades Middle School Summer Math Program

Glades Middle School Summer Math Program Summer Math Program Attention Cougars, It s time for SUMMER MATH!! Research studies have shown that during an extended summer vacation, children can lose an average of 2.6 months of knowledge. This is

More information

Introduction to Mechanics Unit Conversions Order of Magnitude

Introduction to Mechanics Unit Conversions Order of Magnitude Introduction to Mechanics Unit Conversions Order of Magnitude Lana Sheridan De Anza College Sept 28, 2017 Last time symbols for scaling units scientific notation precision and accuracy dimensional analysis

More information

Math 6 Extended Prince William County Schools Pacing Guide (Crosswalk)

Math 6 Extended Prince William County Schools Pacing Guide (Crosswalk) Math 6 Extended Prince William County Schools Pacing Guide 2017-2018 (Crosswalk) Teacher focus groups have assigned a given number of days to each unit based on their experiences and knowledge of the curriculum.

More information

Chapter 5.1 Variation Direct Variation, Inverse Variation and Joint Variation

Chapter 5.1 Variation Direct Variation, Inverse Variation and Joint Variation 1 Chapter 5.1 Variation Direct Variation, Inverse Variation and Joint Variation Sometimes the equation that relates two or more variables can be described in words by the idea of variation. There are three

More information

150 Lecture Notes - Section 6.1 Angle Measure

150 Lecture Notes - Section 6.1 Angle Measure c Marcia Drost, February, 008 Definition of Terms 50 Lecture Notes - Section 6. Angle Measure ray a line angle vertex two rays with a common endpoint the common endpoint initial side terminal side Standard

More information

RAVEN S CORE MATHEMATICS GRADE 8

RAVEN S CORE MATHEMATICS GRADE 8 RAVEN S CORE MATHEMATICS GRADE 8 MODIFIED PROGRAM (Designed for the Western Provinces and the Territories) STUDENT GUIDE AND RESOURCE BOOK The Key to Student Success One of a series of publications by

More information

Name Period Date. GEO2.2: Area of Circles Derive the area formula for circles. Solve application problems that involve areas of circles.

Name Period Date. GEO2.2: Area of Circles Derive the area formula for circles. Solve application problems that involve areas of circles. Name Period Date GEOMETRY AND MEASUREMENT Student Pages for Packet 2: Circles GEO2.1 Circumference Use multiple representations to explore the relationship between the diameter and the circumference of

More information

Lesson 9. Exit Ticket Sample Solutions ( )= ( ) The arc length of is (. ) or.. Homework Problem Set Sample Solutions S.79

Lesson 9. Exit Ticket Sample Solutions ( )= ( ) The arc length of is (. ) or.. Homework Problem Set Sample Solutions S.79 Exit Ticket Sample Solutions 1. Find the arc length of. ( )= ()() ( )=. ( ) = The arc length of is (. ) or.. Homework Problem Set Sample Solutions S.79 1. and are points on the circle of radius, and the

More information

REVIEW SHEETS BASIC MATHEMATICS MATH 020

REVIEW SHEETS BASIC MATHEMATICS MATH 020 REVIEW SHEETS BASIC MATHEMATICS MATH 020 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets

More information

Ms. Woodman s Mathematics Name: Period:

Ms. Woodman s Mathematics Name: Period: Ms. Woodman s Mathematics Name: Period: Geometry: Draw, construct, and describe geometrical figures and describe the relationships between them. Solve real-life and mathematical problems involving angle

More information

Sect 10.1 Angles and Triangles

Sect 10.1 Angles and Triangles 175 Sect 10.1 Angles and Triangles Objective 1: Converting Angle Units Each degree can be divided into 60 minutes, denoted 60', and each minute can be divided into 60 seconds, denoted 60". Hence, 1 = 60'

More information

REVIEW PACKET. We want all students to be successful and confident in math!

REVIEW PACKET. We want all students to be successful and confident in math! Classical Academy High School Algebra 2 Readiness Assessment REVIEW PACKET (revised in 2013) Student Name: _ Algebra 2 Readiness Assessment REVIEW PACKET It is highly recommended that all students study

More information

7 th Grade Math Course Map Course Title: 7 th Grade Math

7 th Grade Math Course Map Course Title: 7 th Grade Math Course Title: 7 th Grade Math 7 th Grade Math Course Map 2013 Duration: 2 semesters Frequency: Daily 44-51 minutes Year: 2013 Text: Prentice Hall Mathematics Course III Other materials: Kagan Cooperative

More information

8 th Grade Intensive Math

8 th Grade Intensive Math 8 th Grade Intensive Math Ready Florida MAFS Student Edition August-September 2014 Lesson 1 Part 1: Introduction Properties of Integer Exponents Develop Skills and Strategies MAFS 8.EE.1.1 In the past,

More information

( ) = 28. 2r = d 2 = = r d = r. 2 = r or 1. Free Pre-Algebra Lesson 33! page 1. Lesson 33 Formulas for Circles

( ) = 28. 2r = d 2 = = r d = r. 2 = r or 1. Free Pre-Algebra Lesson 33! page 1. Lesson 33 Formulas for Circles Free Pre-Algebra Lesson 33! page 1 Lesson 33 Formulas for Circles What is a Circle? Everyone knows what a circle looks like. A sprinkler line rotates around a center pivot, forming circles of irrigated

More information

What You ll Learn. or irrational. New Vocabulary perfect square, square root, irrational numbers, real numbers. Why Learn This?

What You ll Learn. or irrational. New Vocabulary perfect square, square root, irrational numbers, real numbers. Why Learn This? -. Plan - Exploring Square Roots and Irrational Numbers Objective To find and estimate square roots and to classify numbers as rational or irrational Examples Finding Square Roots of Perfect Squares Estimating

More information

An angle on the coordinate plane is in standard form when the vertex is on the origin and one ray lies on the positive x-axis.

An angle on the coordinate plane is in standard form when the vertex is on the origin and one ray lies on the positive x-axis. Name: Topic: Main Ideas/Questions Notes/Eamples Date: Class: Angles in Standard Form y θ An angle on the coordinate plane is in standard form when the verte is on the origin and one ray lies on the positive

More information

Chapter 5 Introduction to Trigonometric Functions

Chapter 5 Introduction to Trigonometric Functions Chapter 5 Introduction to Trigonometric Functions 5.1 Angles Section Exercises Verbal 1. Draw an angle in standard position. Label the vertex, initial side, and terminal side. 2. Explain why there are

More information

Example 1 Give the degree measure of the angle shown on the circle.

Example 1 Give the degree measure of the angle shown on the circle. Section 5. Angles 307 Section 5. Angles Because many applications involving circles also involve q rotation of the circle, it is natural to introduce a measure for the rotation, or angle, between two rays

More information

AREA Judo Math Inc.

AREA Judo Math Inc. AREA 2013 Judo Math Inc. 7 th grade Geometry Discipline: Blue Belt Training Order of Mastery: Area 1. Square units/area overview 2. Circle Vocab (7G4) 3. What is Pi? (7G4) 4. Circumference of a circle

More information

Unit 3, Lesson 2: Exploring Circles

Unit 3, Lesson 2: Exploring Circles Unit 3, Lesson 2: Exploring Circles Lesson Goals Describe the characteristics that make something a circle. Be introduced to the terms diameter, center, radius, and circumference. Required Materials rulers

More information

Algebra Based Physics. Period and Frequency,

Algebra Based Physics. Period and Frequency, Now that we are starting a new quarter, we will begin keeping a more organized Physics Notebook 1. Number the first 20 your pages on the bottom outside corner 2. On the top of page 1 write Table of Contents

More information

The following document was developed by Learning Materials Production, OTEN, DET.

The following document was developed by Learning Materials Production, OTEN, DET. NOTE CAREFULLY The following document was developed y Learning Materials Production, OTEN, DET. This material does not contain any 3 rd party copyright items. Consequently, you may use this material in

More information

1-2 Study Guide and Intervention

1-2 Study Guide and Intervention 1- Study Guide and Intervention Real Numbers All real numbers can be classified as either rational or irrational. The set of rational numbers includes several subsets: natural numbers, whole numbers, and

More information

X ; this can also be expressed as

X ; this can also be expressed as The Geometric Mean ID: 9466 TImath.com Time required 30 minutes Activity Overview In this activity, students will establish that several triangles are similar and then determine that the altitude to the

More information

MATHEMATICS TIPS (MARCH 2018) Leo Ramirez Sr. (The Wizard Maker)

MATHEMATICS TIPS (MARCH 2018) Leo Ramirez Sr. (The Wizard Maker) MATHEMATICS TIPS (MARCH 08) Leo Ramirez Sr. (The Wizard Maker) www.rammaterials.com For more Mathematics tips, visit the STORE and look for instructional Mathematics workbooks.. Tickets were sold for a

More information

EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE

EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE 1 EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE INSTRUCTIONAL ACTIVITY Lesson 1 LEARNING GOAL Students will develop an understanding of diameter, radius, circumference, and pi and the relationships among

More information

New Rochelle High School Geometry Summer Assignment

New Rochelle High School Geometry Summer Assignment NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and

More information

8th Grade Math Course Map 2013

8th Grade Math Course Map 2013 Course Title: 8 th Grade Pre-Algebra 8th Grade Math Course Map 2013 Duration: 2 semesters Frequency: Daily 44-51 minutes Year Updated: 2013 Text: Prentice Hall Pre-Algebra Other materials: Kagan Cooperative

More information

6.1 George W. Ferris Day Off

6.1 George W. Ferris Day Off 6.1 George W. Ferris Day Off A Develop Understanding Task Perhaps you have enjoyed riding on a Ferris wheel at an amusement park. The Ferris wheel was invented by George Washington Ferris for the 1893

More information

Skill 3: Multiplication of fractions and decimals. 3.5, 3 times; 1.2, 2.6 times; 4.2, 3.14 times;

Skill 3: Multiplication of fractions and decimals. 3.5, 3 times; 1.2, 2.6 times; 4.2, 3.14 times; Circle Geometry (not on syllabus) Pre-requisites: Perimeter and Area Direct Proportion Multiplication of Fractions Topics: Parts of a Circle -Vocabulary Relationships between diameter and radius Relationship

More information

1-6 Enrichment Absolute Value Equations And

1-6 Enrichment Absolute Value Equations And 1-6 Enrichment Absolute Value Equations And Inequalities Answers Amsco's Tests, Enrichment Activities, SAT Prep Worksheets and NYS Curriculum Correlations tied to the 1-4, Solving Absolute Value Equations

More information

Grade K-Algebra 2. Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2

Grade K-Algebra 2. Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2 Grade K-Algebra 2 Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2 Scoring Guide Sco ide Diagnostic Chart Intervention/Remediation simplify placement decisions

More information

Thanks for downloading this product from Time Flies!

Thanks for downloading this product from Time Flies! Thanks for downloading this product from Time Flies! I hope you enjoy using this product. Follow me at my TpT store! My Store: https://www.teacherspayteachers.com/store/time-flies 2018 Time Flies. All

More information

Find the length of an arc that subtends a central angle of 45 in a circle of radius 8 m. Round your answer to 3 decimal places.

Find the length of an arc that subtends a central angle of 45 in a circle of radius 8 m. Round your answer to 3 decimal places. Chapter 6 Practice Test Find the radian measure of the angle with the given degree measure. (Round your answer to three decimal places.) 80 Find the degree measure of the angle with the given radian measure:

More information

Math Multiple Choice Identify the choice that best completes the statement or answers the question.

Math Multiple Choice Identify the choice that best completes the statement or answers the question. Math 7-4.2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the circumference of this circle. Leave π in your answer. 12 m A) m B) m C) m D) 12 m 2.

More information

Assignment Assigned Date Due Date Grade 6.7 Worksheet

Assignment Assigned Date Due Date Grade 6.7 Worksheet Geometry Unit 6: Packet 2 CIRCLES This is a packet containing the homework and some classwork for the second half of unit 6. You will turn in completed assignments by their designated due date. If you

More information

How long is the arrow?

How long is the arrow? 1.2 Measurements Measuring We have all measured things before, but how would you define it? Measurement: comparing an unknown quantity to a standard unit (known quantity) How long is the arrow? Any measurement

More information

Common Core State Standards for Mathematics

Common Core State Standards for Mathematics A Correlation of Pearson to the for Mathematics Introduction This document demonstrates how Pearson s digits program meets the Common Core State Standards for Mathematics. Correlation references are to

More information

Algebra 1 Summer Packet

Algebra 1 Summer Packet Name: Date: Algebra 1 Summer Packet SUPPLIES FOR SEPTEMBER 014 ring Binder, should be inches dividers for the binder Filler paper for the binder Pencils! TI-0XS Multi-view Calculator Large (or several)

More information

Significant Figures And The Density Of Water - Version 1.5

Significant Figures And The Density Of Water - Version 1.5 Significant Figures And The Density Of Water - Version 1.5 Michael J. Vitarelli Jr. Department of Chemistry and Chemical Biology Rutgers University, 610 Taylor Road, Piscataway, NJ 08854 I. INTRODUCTION

More information

Geometry Honors Summer Packet

Geometry Honors Summer Packet Geometry Honors Summer Packet Hello Student, First off, welcome to Geometry Honors! In the fall, we will embark on an eciting mission together to eplore the area (no pun intended) of geometry. This packet

More information

SUMMER MATH PACKET for students

SUMMER MATH PACKET for students SUMMER MATH PACKET for students entering 9 th grade Geometry (2018) Dear Students, Welcome to Ma ayanot. We are very happy that you will be here. The teachers in the math department are looking forward

More information

GREENWOOD PUBLIC SCHOOL DISTRICT 3 Grade Math Pacing Guide

GREENWOOD PUBLIC SCHOOL DISTRICT 3 Grade Math Pacing Guide Week 1 GREENWOOD PUBLIC SCHOOL DISTRICT First Nine Weeks Instructional Pd. Date Aug 6 10 Lesson 1 Academic Focus 3.NBT.A.1. 3.OA.B.5 3.NBT.A.3 round whole numbers to the nearest 10. I Can Statements round

More information

Trades Math Practice Assessment Test

Trades Math Practice Assessment Test Trades Math Practice Assessment Test Please leave 2 or 3 digits after the decimal point rounding is optional Calculators ARE allowed For full marks, you MUST include units in your answer e.g. 2 ft. or

More information

LHS Algebra Pre-Test

LHS Algebra Pre-Test Your Name Teacher Block Grade (please circle): 9 10 11 12 Course level (please circle): Honors Level 1 Instructions LHS Algebra Pre-Test The purpose of this test is to see whether you know Algebra 1 well

More information

Circular Motion Ch. 10 in your text book

Circular Motion Ch. 10 in your text book Circular Motion Ch. 10 in your text book Objectives Students will be able to: 1) Define rotation and revolution 2) Calculate the rotational speed of an object 3) Calculate the centripetal acceleration

More information

Solving Quadratic & Higher Degree Equations

Solving Quadratic & Higher Degree Equations Chapter 9 Solving Quadratic & Higher Degree Equations Sec 1. Zero Product Property Back in the third grade students were taught when they multiplied a number by zero, the product would be zero. In algebra,

More information

Circles Test Circumference/Area Calculator Active. Clearly label the following in the circle to the right.

Circles Test Circumference/Area Calculator Active. Clearly label the following in the circle to the right. Circles Test Circumference/Area Calculator Active Clearly label the following in the circle to the right. 1. Point B as the center 2. Diameter AC 3. Radius BD 4. Chord EF 5. Arc FG Find the following.

More information

How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots

How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots . Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,

More information

REVIEW PACKET. Classical Academy High School Algebra 2 Readiness Assessment

REVIEW PACKET. Classical Academy High School Algebra 2 Readiness Assessment Classical Academy High School Algebra 2 Readiness Assessment REVIEW PACKET - Spring 2012 Student Name: _ Algebra 2 Readiness Assessment REVIEW PACKET Math Success is the Goal! In working with our Classical

More information

Precalculus Lesson 6.1: Angles and Their Measure Mrs. Snow, Instructor

Precalculus Lesson 6.1: Angles and Their Measure Mrs. Snow, Instructor Precalculus Lesson 6.1: Angles and Their Measure Mrs. Snow, Instructor In Trigonometry we will be working with angles from We will also work with degrees that are smaller than Check out Shaun White s YouTube

More information

Fall 09/MAT 140/Worksheet 1 Name: Show all your work. 1. (6pts) Simplify and write the answer so all exponents are positive:

Fall 09/MAT 140/Worksheet 1 Name: Show all your work. 1. (6pts) Simplify and write the answer so all exponents are positive: Fall 09/MAT 140/Worksheet 1 Name: Show all your work. 1. (6pts) Simplify and write the answer so all exponents are positive: a) (x 3 y 6 ) 3 x 4 y 5 = b) 4x 2 (3y) 2 (6x 3 y 4 ) 2 = 2. (2pts) Convert to

More information

Measurement. 1 Numeracy and mathematics glossary. Terms Illustrations Definitions. Area

Measurement. 1 Numeracy and mathematics glossary. Terms Illustrations Definitions. Area Terms Illustrations Definitions Area The amount of surface space an object covers, measured using non-standard and standard units. Area is usually measured in square units e.g. square centimetres (cm2),

More information

Vector equations of lines in the plane and 3-space (uses vector addition & scalar multiplication).

Vector equations of lines in the plane and 3-space (uses vector addition & scalar multiplication). Boise State Math 275 (Ultman) Worksheet 1.6: Lines and Planes From the Toolbox (what you need from previous classes) Plotting points, sketching vectors. Be able to find the component form a vector given

More information

Chapter I Getting Your Bearings, Math Skills and The Sizes of Things

Chapter I Getting Your Bearings, Math Skills and The Sizes of Things Chapter I Getting Your Bearings, Math Skills and The Sizes of Things Finding sizes: As part of the first assignment, you will be finding sizes of things. You might need to find mass or radius or lifetime.

More information

Student Instruction Sheet: Unit 3, Lesson 3. Solving Quadratic Relations

Student Instruction Sheet: Unit 3, Lesson 3. Solving Quadratic Relations Student Instruction Sheet: Unit 3, Lesson 3 Solving Quadratic Relations Suggested Time: 75 minutes What s important in this lesson: In this lesson, you will learn how to solve a variety of quadratic relations.

More information

Understanding and Using Variables

Understanding and Using Variables Algebra is a powerful tool for understanding the world. You can represent ideas and relationships using symbols, tables and graphs. In this section you will learn about Understanding and Using Variables

More information

COLLEGE PHYSICS. Chapter 1 INTRODUCTION: THE NATURE OF SCIENCE AND PHYSICS. Lesson 2

COLLEGE PHYSICS. Chapter 1 INTRODUCTION: THE NATURE OF SCIENCE AND PHYSICS. Lesson 2 COLLEGE PHYSICS Chapter 1 INTRODUCTION: THE NATURE OF SCIENCE AND PHYSICS Lesson 2 Video Narrated by Jason Harlow, Physics Department, University of Toronto MEASUREMENTS Here are two different kinds of

More information

Score : Date : Name : Teacher : identify a.nd Calculate the Perimeter for eaoh Quadrilateral. 1) 2) 4) 5) 6) Math-Aids.Com

Score : Date : Name : Teacher : identify a.nd Calculate the Perimeter for eaoh Quadrilateral. 1) 2) 4) 5) 6) Math-Aids.Com Name : Teacher : Score : Date : identify a.nd Calculate the Perimeter for eaoh Quadrilateral. ) 2) al a 9.6 yds a2 3 yds bl 5.4 yds b2 5.55 yds h 4.2 yds a 6.02 ft c 9.7ft h5.7ft a 6.6 yds c 9.2 yds h

More information

Finding a Percent of a Number (page 216)

Finding a Percent of a Number (page 216) LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5%

More information

LAMC Beginners Circle October 6, Oleg Gleizer. A problem solving session. Problem 1 Put the right sign, >, <, or =, between the fractions.

LAMC Beginners Circle October 6, Oleg Gleizer. A problem solving session. Problem 1 Put the right sign, >, <, or =, between the fractions. LAMC Beginners Circle October 6, 2013 Oleg Gleizer oleg1140@gmail.com A problem solving session Problem 1 Put the right sign, >,

More information

Basic Fraction and Integer Operations (No calculators please!)

Basic Fraction and Integer Operations (No calculators please!) P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.

More information

Relationships Between Quantities

Relationships Between Quantities Algebra 1 Relationships Between Quantities Relationships Between Quantities Everyone loves math until there are letters (known as variables) in problems!! Do students complain about reading when they come

More information

MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator

MATHEMATICS Grade 5 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Standard: Number, Number Sense and Operations Number and A. Represent and compare numbers less than 0 through 6. Construct and compare numbers greater than and less Number Systems familiar applications

More information

Egyptian Fractions: Part I

Egyptian Fractions: Part I Egyptian Fractions: Part I Prepared by: Eli Jaffe October 8, 2017 1 Cutting Cakes 1. Imagine you are a teacher. Your class of 10 students is on a field trip to the bakery. At the end of the tour, the baker

More information

Rules for Determining Significant Digits

Rules for Determining Significant Digits Significant Figures Name: Per: aka: Significant Digits Certain Digits: Numbers you are sure of. Uncertain Digits: Last number is an estimate. Certain Digits & Uncertain digits Measurement made with instruments

More information

Topic: Solving systems of equations with linear and quadratic inequalities

Topic: Solving systems of equations with linear and quadratic inequalities Subject & Grade: Mathematics, 9 th Grade Topic: Solving systems of equations with linear and quadratic inequalities Aim: How would you find the solution set of a linear and quadratic inequality? Materials:.

More information

Practice SAC. Unit 4 Further Mathematics: Geometry and Trigonometry Module

Practice SAC. Unit 4 Further Mathematics: Geometry and Trigonometry Module Practice SAC Unit 4 Further Mathematics: Geometry and Trigonometry Module Student Name: Subject Teacher s Name: Equipment Permitted: Writing materials, 1 bound reference, CAS- Calculator Structure of book

More information

Ratios and Rates - Vocabulary

Ratios and Rates - Vocabulary 1/19/18 Unit 5 Ratios and Rates - Vocabulary Begin on a new page Write the date and unit in the top corners of the page Write the title across the top line Ratio A comparison of two numbers. Terms of a

More information

Grade 8 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print

Grade 8 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 8 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology

More information

Using Scientific Measurements

Using Scientific Measurements Section 3 Main Ideas Accuracy is different from precision. Significant figures are those measured precisely, plus one estimated digit. Scientific notation is used to express very large or very small numbers.

More information

Student Instruction Sheet: Unit 1 Lesson 3. Polynomials

Student Instruction Sheet: Unit 1 Lesson 3. Polynomials Student Instruction Sheet: Unit 1 Lesson 3 Suggested time: 150 min Polynomials What s important in this lesson: You will use algebra tiles to learn how to add/subtract polynomials. Problems are provided

More information

Objective: Construct a paper clock by partitioning a circle and tell time to the hour. (10 minutes)

Objective: Construct a paper clock by partitioning a circle and tell time to the hour. (10 minutes) Lesson 10 1 Lesson 10 Objective: Construct a paper clock by partitioning a circle and tell time to the Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief

More information

1.1 Variable Expressions

1.1 Variable Expressions . Variable Expressions Learning Objectives Evaluate algebraic expressions. Evaluate algebraic expressions with exponents. Introduction The Language of Algebra Do you like to do the same problem over and

More information

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS AP PHYSICS GIANCOLI CHAPTER 5: CIRCULAR MOTION; GRAVITATION LSN 5-1: KINEMATICS OF UNIFORM CIRCULAR MOTION LSN 5-2: DYNAMICS OF UNIFORM CIRCULAR MOTION LSN 5-3:

More information

View Through a Telescope Classroom Activity

View Through a Telescope Classroom Activity View Through a Telescope Classroom Activity The Classroom Activity introduces students to the context of a performance task, so they are not disadvantaged in demonstrating the skills the task intends to

More information

Mathematics HOW TO HELP YOUR CHILD SUCCEED IN SCHOOL E D U C A T I O N. Dear Parent/Guardian:

Mathematics HOW TO HELP YOUR CHILD SUCCEED IN SCHOOL E D U C A T I O N. Dear Parent/Guardian: HOW TO HELP YOUR CHILD SUCCEED IN SCHOOL Mathematics 7 Dear Parent/Guardian: Patterns and Relations (identifying patterns You play an important part in helping your child and relationships and applying

More information

Unit 6 Introduction to Trigonometry Degrees and Radians (Unit 6.2)

Unit 6 Introduction to Trigonometry Degrees and Radians (Unit 6.2) Unit 6 Introduction to Trigonometr Degrees and Radians (Unit 6.2) William (Bill) Finch Mathematics Department Denton High School Lesson Goals When ou have completed this lesson ou will: Understand an angle

More information