MATH0910 Review Concepts (Haugen)


 Alaina Pearson
 1 years ago
 Views:
Transcription
1 Unit 1 Whole Numbers and Fractions MATH0910 Review Concepts (Haugen) Exam 1 Sections 1.5, 1.6, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, and 2.5 Dividing Whole Numbers Equivalent ways of expressing division: a b, b a, a b, or a b Components of a division problem: Dividend, divisor, quotient, and remainder Division involving 0 or 1 Exponents and Exponential Expressions Expanded form vs exponential form Evaluating an exponential expression Evaluate = find the value of Order of Operations: P.E.M.D.A.S. P = Parentheses, brackets [ ], set braces { }, or a fraction bar Multiply or Divide from left to right as the operators occur in the expression Example: = 8 4 = 32, not = 2 Add or Subtract from left to right Example: = = 12, not 15 9 = 6 Rounding Whole Numbers Using the Principle of Estimation to approximate sums, differences, products, and/or quotients Each rounded number in the approximation should have only one nonzero digit Fractions Numerator vs denominator Proper vs improper fractions Reducing fractions Factor trees help us identify common factors Divide out common factors Mixed Numbers Mixed numbers have a whole number component and a (proper) fractional component Convert from an improper fraction to a mixed number and vice versa Multiplying Fractions and/or Mixed Numbers Cancel common factors (if possible) and then multiply straight across Convert mixed numbers to improper fractions before multiplying (or dividing) Dividing Fractions and/or Mixed Numbers Convert division to multiplication using the reciprocal of the divisor: a c a d = b d b c
2 Unit 2 Adding and Subtracting Fractions Exam 2 Sections 2.6, 2.7, 2.8, and 2.9 Least Common Denominator (LCD) Goal is to identify the smallest number that is a multiple of both denominators Creating Equivalent Fractions Adding and Subtracting Fractions Case 1: Like Denominators Case 2: Unlike Denominators Adding and Subtracting Mixed Numbers* Case 1: Like Denominators Case 2: Unlike Denominators *Sometimes subtracting mixed numbers involves borrowing. This can be avoided by converting the mixed numbers to improper fractions and then subtracting. Unit 3 Decimals Exam 3 Sections 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, and 3.7 Writing a Word Name for a Decimal Using the Place Value System Comparing Two or More Decimals Rounding Decimals Identify the round off place and then apply rounding rules Adding and Subtracting Decimals Helps to add or subtract vertically, keeping the decimal points aligned Multiplying and Dividing Decimals Writing the Decimal Equivalent of a Fraction Should be familiar with three scenarios: 1. Terminating decimal (zero remainder) 2. Nonterminating repeating decimals (we use a bar over the digit or digits that repeat) 3. Nonterminating nonrepeating decimals (when this happens, we usually round to a specified place)
3 Unit 4 Rates, Ratios, and Proportions Exam 4 Sections 4.1, 4.2, 4.3, and 4.4 Ratios and Rates Ratios and rates are comparisons of two quantities If the quantities have the same units, the comparison is called a ratio If the quantities have different units, the comparison is called a rate Three Ways of Expressing Ratios: a to b, a : b, and a b Remember when writing as a fraction to reduce to simplest form Writing a Rate in Simplest Form Unit Rates A unit rate is a rate whose denominator is miles 60 miles Ex. or 60 miles per hour 3 hours 1 hour Proportions A proportion is a statement that two rates or two ratios are equal Use cross products to determine if an equation is a proportion Solve Equations of the form a n = b Divide both sides of the equation by a (the coefficient of the variable n) Solve Proportions Use cross products to convert the proportion to an equation of the form a n = b Unit 5 Percents Working with Percents Converting percents to decimal numbers Drop the percent symbol and then move the decimal point two places to the left Converting decimal numbers to percents Move the decimal point two places to the right and then write the percent symbol at the end of the number Converting percents to fractions Two options: 1. Use the definition of percent 2. Convert the percent to a decimal and then convert the decimal to a fraction Converting fractions to percents Convert the fraction to a decimal and then convert the decimal to a percent
4 Unit 5 Percents (continued) Solve Percent Problems Two options: 1. Use the equation: amount = percent x base 2. Use the percent proportion: Solve Applied Percent Problems amount base = percent number 100 Sales tax calculations Sales Tax = Sales Tax Rate x List Price Discount problems Discount Amount = Discount Rate x List Price Commission problems Commission = Commission Rate x Value of Sales Percent of increase/decrease problems Percent of Increase = Amount of Increase / Original Amount Percent of Decrease = Amount of Decrease / Original Amount Simple interest calculations Interest = Principal x Rate x Time or I = P x R x T * *note: the units of time on R and T must match in these problems Unit 6 Signed Numbers Exam 6 Sections 9.1, 9.2, 9.3, and 9.4 Adding Signed Numbers Geometric approach: draw vectors on a number line Vectors representing positive numbers should point toward the right Vectors representing negative numbers should point toward the left Alternative approach is based on absolute values: If the addends have the same sign, add the absolute values of the addends. The sign of the sum will be the same as the sign of the addends. If the addends have opposite signs, find the absolute value of the addends. Subtract the smaller absolute value from the larger absolute value. The sign of the sum will be the same as the sign of the addend with the larger absolute value. Subtracting Signed Numbers In the expression a b, a is called the minuend and b is called the subtrahend Subtraction can be converted to addition using the opposite of the subtrahend: a b = a + ( b)
5 Unit 6 Signed Numbers (continued) Multiplying and Dividing Signed Numbers The product (or quotient) of two numbers with the same sign will always be positive ( + )( + ) = + ( )( ) = + ( + ) + = + ( ) = + The product (or quotient) of two numbers with opposite signs will always be negative ( + ) ( ) = ( )( + ) = ( ) + = ( + ) =
Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any.
Algebra 2  Chapter Prerequisites Vocabulary Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. P1 p. 1 1. counting(natural) numbers  {1,2,3,4,...}
More informationPAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE
PAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE 1 Property of Paychex, Inc. Basic Business Math Table of Contents Overview...3 Objectives...3 Calculator...4 Basic Calculations...6 Order of Operation...9
More informationIntroduction to Decimals
Introduction to Decimals Reading and Writing Decimals: Note: There is a relationship between fractions and numbers written in decimal notation. Threetenths 10 0. 1 zero 1 decimal place Three 0. 0 100
More informationMath Review. for the Quantitative Reasoning Measure of the GRE revised General Test
Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important
More informationPHARMACOLOGY MATH FOR THE PRACTICAL NURSE
U.S. ARMY MEDICAL DEPARTMENT CENTER AND SCHOOL FORT SAM HOUSTON, TEXAS 782346100 PHARMACOLOGY MATH FOR THE PRACTICAL NURSE SUBCOURSE MD0904 EDITION 100 DEVELOPMENT This subcourse is approved for resident
More informationA Second Course in Mathematics Concepts for Elementary Teachers: Theory, Problems, and Solutions
A Second Course in Mathematics Concepts for Elementary Teachers: Theory, Problems, and Solutions Marcel B. Finan Arkansas Tech University c All Rights Reserved First Draft February 8, 2006 1 Contents 25
More informationMathematics Placement
Mathematics Placement The ACT COMPASS math test is a selfadaptive test, which potentially tests students within four different levels of math including prealgebra, algebra, college algebra, and trigonometry.
More informationAccuplacer 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 informationAlgebraic expressions are a combination of numbers and variables. Here are examples of some basic algebraic expressions.
Page 1 of 13 Review of Linear Expressions and Equations Skills involving linear equations can be divided into the following groups: Simplifying algebraic expressions. Linear expressions. Solving linear
More informationWhat are the place values to the left of the decimal point and their associated powers of ten?
The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything
More informationMEP Y9 Practice Book A
1 Base Arithmetic 1.1 Binary Numbers We normally work with numbers in base 10. In this section we consider numbers in base 2, often called binary numbers. In base 10 we use the digits 0, 1, 2, 3, 4, 5,
More informationMATH 90 CHAPTER 1 Name:.
MATH 90 CHAPTER 1 Name:. 1.1 Introduction to Algebra Need To Know What are Algebraic Expressions? Translating Expressions Equations What is Algebra? They say the only thing that stays the same is change.
More informationACCUPLACER. Testing & Study Guide. Prepared by the Admissions Office Staff and General Education Faculty Draft: January 2011
ACCUPLACER Testing & Study Guide Prepared by the Admissions Office Staff and General Education Faculty Draft: January 2011 Thank you to Johnston Community College staff for giving permission to revise
More informationCAHSEE on Target UC Davis, School and University Partnerships
UC Davis, School and University Partnerships CAHSEE on Target Mathematics Curriculum Published by The University of California, Davis, School/University Partnerships Program 006 Director Sarah R. Martinez,
More informationaverages simple arithmetic average (arithmetic mean) 28 29 weighted average (weighted arithmetic mean) 32 33
537 A accumulated value 298 future value of a constantgrowth annuity future value of a deferred annuity 409 future value of a general annuity due 371 future value of an ordinary general annuity 360 future
More informationPERT Computerized Placement Test
PERT Computerized Placement Test REVIEW BOOKLET FOR MATHEMATICS Valencia College Orlando, Florida Prepared by Valencia College Math Department Revised April 0 of 0 // : AM Contents of this PERT Review
More informationReview of Basic Algebraic Concepts
Section. Sets of Numbers and Interval Notation Review of Basic Algebraic Concepts. Sets of Numbers and Interval Notation. Operations on Real Numbers. Simplifying Expressions. Linear Equations in One Variable.
More informationMBA Jump Start Program
MBA Jump Start Program Module 2: Mathematics Thomas Gilbert Mathematics Module Online Appendix: Basic Mathematical Concepts 2 1 The Number Spectrum Generally we depict numbers increasing from left to right
More informationTransition To College Mathematics
Transition To College Mathematics In Support of Kentucky s College and Career Readiness Program Northern Kentucky University Kentucky Online Testing (KYOTE) Group Steve Newman Mike Waters Janis Broering
More informationVoyager Sopris Learning Vmath, Levels CI, correlated to the South Carolina College and CareerReady Standards for Mathematics, Grades 28
Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156159 Module 4: Lesson 7: 220223 2. Reason both contextually
More informationEVALUATING ACADEMIC READINESS FOR APPRENTICESHIP TRAINING Revised For ACCESS TO APPRENTICESHIP
EVALUATING ACADEMIC READINESS FOR APPRENTICESHIP TRAINING For ACCESS TO APPRENTICESHIP MATHEMATICS SKILL OPERATIONS WITH INTEGERS AN ACADEMIC SKILLS MANUAL for The Precision Machining And Tooling Trades
More informationSense of Number Visual Calculations Policy
Sense of Number Visual Calculations Policy Basic Bespoke Edition for April 2014 by Dave Godfrey & Anthony Reddy For sole use within. A picture is worth 1000 words! www.senseofnumber.co.uk Visual Calculations
More informationFive 5. Rational Expressions and Equations C H A P T E R
Five C H A P T E R Rational Epressions and Equations. Rational Epressions and Functions. Multiplication and Division of Rational Epressions. Addition and Subtraction of Rational Epressions.4 Comple Fractions.
More informationSECTION 0.6: POLYNOMIAL, RATIONAL, AND ALGEBRAIC EXPRESSIONS
(Section 0.6: Polynomial, Rational, and Algebraic Expressions) 0.6.1 SECTION 0.6: POLYNOMIAL, RATIONAL, AND ALGEBRAIC EXPRESSIONS LEARNING OBJECTIVES Be able to identify polynomial, rational, and algebraic
More informationMEMORY WORK  MATH FACTS 1
MEMORY WORK  MATH FACTS ADDITION BOARD (aka Strip Board) Addition with Golden Bead materials Addition with Colored Beads To memorize Addition Tables Linear structure of addition Addition Board MATERIALS:
More informationHIBBING COMMUNITY COLLEGE COURSE OUTLINE
HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE:  Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,
More informationCommon Core Unit Summary Grades 6 to 8
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity 8G18G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
More informationAnswer: Quantity A is greater. Quantity A: 0.717 0.717717... Quantity B: 0.71 0.717171...
Test : First QR Section Question 1 Test, First QR Section In a decimal number, a bar over one or more consecutive digits... QA: 0.717 QB: 0.71 Arithmetic: Decimals 1. Consider the two quantities: Answer:
More informationMath 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction
Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a
More informationWarmUp. Today s Objective/Standards: Students will use the correct order of operations to evaluate algebraic expressions/ Gr. 6 AF 1.
WarmUp CST/CAHSEE: Gr. 6 AF 1.4 Simplify: 8 + 8 2 + 2 A) 4 B) 8 C) 10 D) 14 Review: Gr. 7 NS 1.2 Complete the statement using ,. Explain. 2 5 5 2 How did students get the other answers? Other: Gr.
More informationGrade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills
Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate
More informationThe finite field with 2 elements The simplest finite field is
The finite field with 2 elements The simplest finite field is GF (2) = F 2 = {0, 1} = Z/2 It has addition and multiplication + and defined to be 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0 0 0 = 0 0 1 = 0
More informationAlgebra I Vocabulary Cards
Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression
More informationMATH 21. College Algebra 1 Lecture Notes
MATH 21 College Algebra 1 Lecture Notes MATH 21 3.6 Factoring Review College Algebra 1 Factoring and Foiling 1. (a + b) 2 = a 2 + 2ab + b 2. 2. (a b) 2 = a 2 2ab + b 2. 3. (a + b)(a b) = a 2 b 2. 4. (a
More informationVISUAL ALGEBRA FOR COLLEGE STUDENTS. Laurie J. Burton Western Oregon University
VISUAL ALGEBRA FOR COLLEGE STUDENTS Laurie J. Burton Western Oregon University VISUAL ALGEBRA FOR COLLEGE STUDENTS TABLE OF CONTENTS Welcome and Introduction 1 Chapter 1: INTEGERS AND INTEGER OPERATIONS
More informationSimplification Problems to Prepare for Calculus
Simplification Problems to Prepare for Calculus In calculus, you will encounter some long epressions that will require strong factoring skills. This section is designed to help you develop those skills.
More informationPolynomial and Synthetic Division. Long Division of Polynomials. Example 1. 6x 2 7x 2 x 2) 19x 2 16x 4 6x3 12x 2 7x 2 16x 7x 2 14x. 2x 4.
_.qd /7/5 9: AM Page 5 Section.. Polynomial and Synthetic Division 5 Polynomial and Synthetic Division What you should learn Use long division to divide polynomials by other polynomials. Use synthetic
More information6.1 The Greatest Common Factor; Factoring by Grouping
386 CHAPTER 6 Factoring and Applications 6.1 The Greatest Common Factor; Factoring by Grouping OBJECTIVES 1 Find the greatest common factor of a list of terms. 2 Factor out the greatest common factor.
More information1.3 Algebraic Expressions
1.3 Algebraic Expressions A polynomial is an expression of the form: a n x n + a n 1 x n 1 +... + a 2 x 2 + a 1 x + a 0 The numbers a 1, a 2,..., a n are called coefficients. Each of the separate parts,
More informationAlgebra and Geometry Review (61 topics, no due date)
Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties
More informationFlorida Math for College Readiness
Core Florida Math for College Readiness Florida Math for College Readiness provides a fourthyear math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness
More informationLinear Equations in One Variable
Linear Equations in One Variable MATH 101 College Algebra J. Robert Buchanan Department of Mathematics Summer 2012 Objectives In this section we will learn how to: Recognize and combine like terms. Solve
More informationGRADE 6 MATH: SHARE MY CANDY
GRADE 6 MATH: SHARE MY CANDY UNIT OVERVIEW The length of this unit is approximately 23 weeks. Students will develop an understanding of dividing fractions by fractions by building upon the conceptual
More informationJUST THE MATHS UNIT NUMBER 1.8. ALGEBRA 8 (Polynomials) A.J.Hobson
JUST THE MATHS UNIT NUMBER 1.8 ALGEBRA 8 (Polynomials) by A.J.Hobson 1.8.1 The factor theorem 1.8.2 Application to quadratic and cubic expressions 1.8.3 Cubic equations 1.8.4 Long division of polynomials
More informationr the COR Common Core State Standards Learning Pathways
BUI LT fo COM r the MON COR E 2015 2016 Common Core State Standards Learning Pathways Table of Contents Grade 3...3 Grade 4...8 Grade 5... 13 Grade 6... 18 Grade 7...26 Grade 8...32 Algebra Readiness...36
More informationMATHEMATICAL NOTATION COMPARISONS BETWEEN U.S. AND LATIN AMERICAN COUNTRIES
NUMERALS U. S. Latin American In many Latin American countries, the crosshatch is drawn 1 and 7 1 and 7 thru the 7 to distinguish it from the numeral 1. 8 8 The numeral 8 is often drawn from the bottom
More informationCOLLEGE ALGEBRA 10 TH EDITION LIAL HORNSBY SCHNEIDER 1.11
10 TH EDITION COLLEGE ALGEBRA LIAL HORNSBY SCHNEIDER 1.11 1.1 Linear Equations Basic Terminology of Equations Solving Linear Equations Identities 1.12 Equations An equation is a statement that two expressions
More informationChapter 1: Digital Systems and Binary Numbers
Chapter 1: Digital Systems and Binary Numbers Digital age and information age Digital computers general purposes many scientific, industrial and commercial applications Digital systems telephone switching
More informationQuestions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number?
Content Skills Essential August/September Number Theory Identify factors List multiples of whole numbers Classify prime and composite numbers Analyze the rules of divisibility What is meant by a number
More information9.2 Summation Notation
9. Summation Notation 66 9. Summation Notation In the previous section, we introduced sequences and now we shall present notation and theorems concerning the sum of terms of a sequence. We begin with a
More informationSquare Roots and Other Radicals
Radicals  Definition Radicals, or roots, are the opposite operation of applying exponents. A power can be undone with a radical and a radical can be undone with a power. For example, if you square 2,
More informationROUND(cell or formula, 2)
There are many ways to set up an amortization table. This document shows how to set up five columns for the payment number, payment, interest, payment applied to the outstanding balance, and the outstanding
More informationPURSUITS IN MATHEMATICS often produce elementary functions as solutions that need to be
Fast Approximation of the Tangent, Hyperbolic Tangent, Exponential and Logarithmic Functions 2007 Ron Doerfler http://www.myreckonings.com June 27, 2007 Abstract There are some of us who enjoy using our
More informationCOLLEGE ALGEBRA. Paul Dawkins
COLLEGE ALGEBRA Paul Dawkins Table of Contents Preface... iii Outline... iv Preliminaries... Introduction... Integer Exponents... Rational Exponents... 9 Real Exponents...5 Radicals...6 Polynomials...5
More informationhow to use dual base log log slide rules
how to use dual base log log slide rules by Professor Maurice L. Hartung The University of Chicago Pickett The World s Most Accurate Slide Rules Pickett, Inc. Pickett Square Santa Barbara, California 93102
More informationTennessee Mathematics Standards 20092010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes
Tennessee Mathematics Standards 20092010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical
More informationSolving Exponential Equations
Solving Exponential Equations Deciding How to Solve Exponential Equations When asked to solve an exponential equation such as x + 6 = or x = 18, the first thing we need to do is to decide which way is
More informationGRE EXAM. Math Workbook. Seventh Edition
GRE EXAM Math Workbook Seventh Edition 2 Table of Contents Updates to the GRE How to Use This Book PART ONE: GETTING STARTED Chapter 1 Introduction to GRE Math PART TWO: MATH CONTENT REVIEW Chapter 2 Arithmetic
More informationAlgebra 1 Course Information
Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through
More informationBasic Pre Algebra Intervention Program
Basic Pre Algebra Intervention Program This 9 lesson Intervention Plan is designed to provide extra practice lessons and activities for students in Pre Algebra. The skills covered are basics that must
More informationSuch As Statements, Kindergarten Grade 8
Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential
More informationSUNY ECC. ACCUPLACER Preparation Workshop. Algebra Skills
SUNY ECC ACCUPLACER Preparation Workshop Algebra Skills Gail A. Butler Ph.D. Evaluating Algebraic Epressions Substitute the value (#) in place of the letter (variable). Follow order of operations!!! E)
More informationMATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab
MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring noncourse based remediation in developmental mathematics. This structure will
More informationLecture 8: Binary Multiplication & Division
Lecture 8: Binary Multiplication & Division Today s topics: Addition/Subtraction Multiplication Division Reminder: get started early on assignment 3 1 2 s Complement Signed Numbers two = 0 ten 0001 two
More informationPolynomials. Key Terms. quadratic equation parabola conjugates trinomial. polynomial coefficient degree monomial binomial GCF
Polynomials 5 5.1 Addition and Subtraction of Polynomials and Polynomial Functions 5.2 Multiplication of Polynomials 5.3 Division of Polynomials Problem Recognition Exercises Operations on Polynomials
More informationGrade 6 Mathematics Common Core State Standards
Grade 6 Mathematics Common Core State Standards Standards for Mathematical Practice HOW make sense of problems, persevere in solving them, and check the reasonableness of answers. reason with and flexibly
More informationAlgebra 2 YearataGlance Leander ISD 200708. 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks
Algebra 2 YearataGlance Leander ISD 200708 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks Essential Unit of Study 6 weeks 3 weeks 3 weeks 6 weeks 3 weeks 3 weeks
More informationReview of Intermediate Algebra Content
Review of Intermediate Algebra Content Table of Contents Page Factoring GCF and Trinomials of the Form + b + c... Factoring Trinomials of the Form a + b + c... Factoring Perfect Square Trinomials... 6
More informationFractions Packet. Contents
Fractions Packet Contents Intro to Fractions.. page Reducing Fractions.. page Ordering Fractions page Multiplication and Division of Fractions page Addition and Subtraction of Fractions.. page Answer Keys..
More informationSouth Carolina College and CareerReady (SCCCR) PreCalculus
South Carolina College and CareerReady (SCCCR) PreCalculus Key Concepts Arithmetic with Polynomials and Rational Expressions PC.AAPR.2 PC.AAPR.3 PC.AAPR.4 PC.AAPR.5 PC.AAPR.6 PC.AAPR.7 Standards Know
More informationConsultant: Lynn T. Havens. Director of Project CRISS Kalispell, Montana
Teacher Annotated Edition Study Notebook Consultant: Lynn T. Havens SM Director of Project CRISS Kalispell, Montana i_sn_c1fmtwe_893629.indd i 3/16/09 9:17:03 PM Copyright by The McGrawHill Companies,
More informationNumeracy Preparation Guide. for the. VETASSESS Test for Certificate IV in Nursing (Enrolled / Division 2 Nursing) course
Numeracy Preparation Guide for the VETASSESS Test for Certificate IV in Nursing (Enrolled / Division Nursing) course Introduction The Nursing course selection (or entrance) test used by various Registered
More informationGRE EXAM. Math Workbook. Seventh Edition
GRE EXAM Math Workbook Seventh Edition Table of Contents Updates to the GRE How to Use This Book PART ONE: GETTING STARTED Chapter 1 Introduction to GRE Math PART TWO: MATH CONTENT REVIEW Chapter 2 Arithmetic
More informationLyman Memorial High School. PreCalculus Prerequisite Packet. Name:
Lyman Memorial High School PreCalculus Prerequisite Packet Name: Dear PreCalculus Students, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry. These
More informationCAHSEE on Target UC Davis, School and University Partnerships
UC Davis, School and University Partnerships CAHSEE on Target Mathematics Curriculum Published by The University of California, Davis, School/University Partnerships Program 2006 Director Sarah R. Martinez,
More informationPolynomials. Dr. philippe B. laval Kennesaw State University. April 3, 2005
Polynomials Dr. philippe B. laval Kennesaw State University April 3, 2005 Abstract Handout on polynomials. The following topics are covered: Polynomial Functions End behavior Extrema Polynomial Division
More informationAlgebra 1 Course Title
Algebra 1 Course Title Course wide 1. What patterns and methods are being used? Course wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept
More informationPolynomial Operations and Factoring
Algebra 1, Quarter 4, Unit 4.1 Polynomial Operations and Factoring Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Identify terms, coefficients, and degree of polynomials.
More informationONE. New. O^ irpfi'rsooi ^'ia./i /^ ^^ ' Date _/_," ' SAULT CULLiU? ubrary \ SAUL^ sre MARIE DOC #351 SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY
DOC #351 SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY SAULT STE. MARIE, ONTARIO COURSE OUTLINE Course Title: Code No; Program Semester: Date Author: MATHEMATICS FOR ADMINISTRATION OF MEDICATIONS NUR 109
More informationWelcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)
Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402443 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application
More informationPRECALCULUS GRADE 12
PRECALCULUS GRADE 12 [C] Communication Trigonometry General Outcome: Develop trigonometric reasoning. A1. Demonstrate an understanding of angles in standard position, expressed in degrees and radians.
More information2.3. Finding polynomial functions. An Introduction:
2.3. Finding polynomial functions. An Introduction: As is usually the case when learning a new concept in mathematics, the new concept is the reverse of the previous one. Remember how you first learned
More informationDeterminants can be used to solve a linear system of equations using Cramer s Rule.
2.6.2 Cramer s Rule Determinants can be used to solve a linear system of equations using Cramer s Rule. Cramer s Rule for Two Equations in Two Variables Given the system This system has the unique solution
More informationPerformance Level Descriptors Grade 6 Mathematics
Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.12 Grade 6 Math : SubClaim A The student solves problems involving the Major Content for grade/course with
More informationAlgebra I Credit Recovery
Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,
More informationFACTORING OUT COMMON FACTORS
278 (6 2) Chapter 6 Factoring 6.1 FACTORING OUT COMMON FACTORS In this section Prime Factorization of Integers Greatest Common Factor Finding the Greatest Common Factor for Monomials Factoring Out the
More informationLicensed to: Printed in the United States of America 1 2 3 4 5 6 7 16 15 14 13 12
Licensed to: CengageBrain User This is an electronic version of the print textbook. Due to electronic rights restrictions, some third party content may be suppressed. Editorial review has deemed that any
More informationSECTION P.5 Factoring Polynomials
BLITMCPB.QXP.0599_4874 /0/0 0:4 AM Page 48 48 Chapter P Prerequisites: Fundamental Concepts of Algebra Technology Eercises Critical Thinking Eercises 98. The common cold is caused by a rhinovirus. The
More informationMathematics. Accelerated GSE Analytic Geometry B/Advanced Algebra Unit 7: Rational and Radical Relationships
Georgia Standards of Excellence Frameworks Mathematics Accelerated GSE Analytic Geometry B/Advanced Algebra Unit 7: Rational and Radical Relationships These materials are for nonprofit educational purposes
More informationReturn on Investment (ROI)
ROI 1 Return on Investment (ROI) Prepared by Sarah Major What is ROI? Return on investment (ROI) is a measure that investigates the amount of additional profits produced due to a certain investment. Businesses
More informationPrimes. Name Period Number Theory
Primes Name Period A Prime Number is a whole number whose only factors are 1 and itself. To find all of the prime numbers between 1 and 100, complete the following exercise: 1. Cross out 1 by Shading in
More informationMath 118 Review. i. Bed math (order of operation): Addition, subtraction, multiplication, division and brackets ii.
Math 118 Review Review objectives The review includes: 1. Basic algebraic operations i. Bed math (order of operation): Addition, subtraction, multiplication, division and brackets ii. Laws of exponents
More informationSyllabus MAT0018 Developmental Mathematics I
Syllabus MAT0018 Developmental Mathematics I Term: Reference #: Instructor s Name: Email: Office: Math Lab, Room # 2223 Mailbox: Math Lab, Room # 2223 Office Hours: To leave a message for the instructor,
More informationThnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks
Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson
More information2010 Solutions. a + b. a + b 1. (a + b)2 + (b a) 2. (b2 + a 2 ) 2 (a 2 b 2 ) 2
00 Problem If a and b are nonzero real numbers such that a b, compute the value of the expression ( ) ( b a + a a + b b b a + b a ) ( + ) a b b a + b a +. b a a b Answer: 8. Solution: Let s simplify the
More informationGraphic Organizers SAMPLES
This document is designed to assist North Carolina educators in effective instruction of the new Common Core State and/or North Carolina Essential Standards (Standard Course of Study) in order to increase
More informationTips for Solving Mathematical Problems
Tips for Solving Mathematical Problems Don Byrd Revised late April 2011 The tips below are based primarily on my experience teaching precalculus to highschool students, and to a lesser extent on my other
More informationIllinois State Standards Alignments Grades Three through Eleven
Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other
More informationLevent EREN levent.eren@ieu.edu.tr A306 Office Phone:4889882 INTRODUCTION TO DIGITAL LOGIC
Levent EREN levent.eren@ieu.edu.tr A306 Office Phone:4889882 1 Number Systems Representation Positive radix, positional number systems A number with radix r is represented by a string of digits: A n
More informationAcing Math (One Deck At A Time!): A Collection of Math Games. Table of Contents
Table of Contents Introduction to Acing Math page 5 Card Sort (Grades K  3) page 8 Greater or Less Than (Grades K  3) page 9 Number Battle (Grades K  3) page 10 Place Value Number Battle (Grades 16)
More information