First-Degree Equations and Inequalities 2

Size: px
Start display at page:

Download "First-Degree Equations and Inequalities 2"

Transcription

1 First-Degree Equations and Inequalities 2 Chapter Solving Equations and Inequalities 4 Introduction 3 Follow-Ups 27, 84, 120, 192 Culmination 207 Getting Started 5 Getting Ready for the Next Lesson 10, 18, 27, 32, 39 Study Organizer Expressions and Formulas Properties of Real Numbers...11 Practice Quiz 1: Lessons 1-1 and Algebra Activity: Investigating Polygons and Patterns Solving Equations Solving Absolute Value Equations Solving Inequalities...33 Practice Quiz 2: Lessons 1-3 through Solving Compound and Absolute Value Inequalities...40 Study Guide and Review...47 Practice Test Reading Math Tips 11, 12, 34, 35 Writing in Math 10, 17, 27, 31, 38, 45 Lesson 1-4, page 31 Multiple Choice 10, 17, 23, 24, 27, 31, 32, 39, 46, 51, 52 Short Response/Grid In 46, 53 Extended Response 53 Snapshots 17, 39 ix

2 Unit 1 Chapter Linear Relations and Functions Relations and Functions Linear Equations Slope...68 Practice Quiz 1: Lessons 2-1 through Writing Linear Equations Modeling Real-World Data: Using Scatter Plots...81 Lines of Regression Special Functions...89 Practice Quiz 2: Lessons 2-4 through Graphing Inequalities...96 Study Guide and Review Practice Test Getting Started 55 Getting Ready for the Next Lesson 62, 67, 74, 80, 86, 95 Study Organizer 55 Multiple Choice 62, 67, 74, 76, 78, 80, 86, 95, 99, 105, 106 Short Response/Grid In 107 Extended Response 107 Reading Tips 56, 59, 71, 82 Writing in Math 62, 67, 73, 80, 86, 94, 99 Snapshots 69, 84 Lesson 2-2, page 64 x

3 Unit 1 Chapter Getting Started 109 Getting Ready for the Next Lesson 115, 122, 127, 135 Study Organizer 109 Reading Tips 124, 129 Writing in Math 114, 121, 127, 134, 144 Systems of Equations and Inequalities Solving Systems of Equations by Graphing Solving Systems of Equations Algebraically Practice Quiz 1: Lessons 3-1 and Solving Systems of Inequalities by Graphing Systems of Linear Inequalities Linear Programming Practice Quiz 2: Lessons 3-3 and Algebra Activity: Graphing Equations in Three Variables Solving Systems of Equations in Three Variables Study Guide and Review Practice Test Multiple Choice 115, 117, 120, 122, 127, 134, 144, 150 Short Response/Grid In 149, 151 Extended Response 127, 151 Snapshots 135 Lesson 3-4, page 131 xi

4 Unit 1 Chapter Matrices 152 Getting Started 153 XXX Getting XXXReady for the Next Lesson 158, 166, 174, 181, 188, 194, 201 XXX XXX XXX XXX Study Organizer 153 Reading Tips 154, 175, 182 Writing in Math 158, 166, 173, 181, 187, 193, 200, 207 Multiple Choice 158, 166, 173, 179, 181, 187, 194, 201, 207, 215, 216 Short Response/Grid In 176, 194, 207, 217 Extended Response Introduction to Matrices Spreadsheet Investigation: Organizing Data Operations with Matrices Multiplying Matrices Practice Quiz 1: Lessons 4-1 through Transformations with Matrices Determinants Cramer s Rule Practice Quiz 2: Lessons 4-4 through Identity and Inverse Matrices Using Matrices to Solve Systems of Equations Augmented Matrices Study Guide and Review Practice Test Snapshots 206 Lesson 4-6, page 193 xii

5 Polynomial and Radical Equations and Inequalities 218 Chapter Polynomials 220 Introduction 219 Follow-Ups 227, 326, 369 Culmination Monomials Polynomials Dividing Polynomials Practice Quiz 1: Lessons 5-1 through Factoring Polynomials Roots of Real Numbers Radical Expressions Practice Quiz 2: Lessons 5-4 through Rational Exponents Radical Equations and Inequalities Solving Radical Equations and Inequalities by Graphing Complex Numbers Study Guide and Review Practice Test Lesson 5-7, page 259 Getting Started 221 Getting Ready for the Next Lesson 228, 232, 238, 244, 249, 256, 262, 267 Multiple Choice 228, 232, 234, 236, 238, 244, 249, 255, 262, 267, 275, 281, 282 Short Response/Grid In 283 Extended Response 283 Study Organizer 221 Reading Tips 229, 246, 252, 270, 271, 273 Writing in Math 227, 232, 238, 243, 249, 255, 262, 267, 275 Snapshots 228 xiii

6 Unit 2 Chapter Getting Started 285 Getting Ready for the Next Lesson 293, 299, 305, 312, 319, 328 Study Organizer 285 Reading Tips 294, 306, 313, 316, 323 Writing in Math 292, 299, 305, 312, 319, 327, 334 Multiple Choice 292, 293, 299, 302, 303, 305, 312, 319, 327, 335, 341, 342 Short Response/Grid In 343 Extended Response 343 Quadratic Functions and Inequalities Graphing Quadratic Functions Solving Quadratic Equations by Graphing Modeling Real-World Data Solving Quadratic Equations by Factoring Practice Quiz 1: Lessons 6-1 through Completing the Square The Quadratic Formula and the Discriminant Families of Parabolas Analyzing Graphs of Quadratic Functions Practice Quiz 2: Lessons 6-4 through Graphing and Solving Quadratic Inequalities Study Guide and Review Practice Test Lesson 6-4, page 311 Snapshots 328 xiv

7 Unit 2 Chapter Polynomial Functions Polynomial Functions Graphing Polynomial Functions Modeling Real-World Data Solving Equations Using Quadratic Techniques Practice Quiz 1: Lessons 7-1 through The Remainder and Factor Theorems Roots and Zeros Rational Zero Theorem Practice Quiz 2: Lessons 7-4 through Operations on Functions Inverse Functions and Relations Square Root Functions and Inequalities Study Guide and Review Practice Test Lesson 7-1, page 346 Getting Started 345 Getting Ready for the Next Lesson 352, 358, 364, 370, 377, 382, 389, 394 Multiple Choice 352, 358, 364, 370, 377, 382, 389, 394, 399, 405, 406 Short Response/Grid In 370, 374, 375, 407 Extended Response 407 Study Organizer 345 Reading Tips 354, 372, 384, 391 Writing in Math 352, 357, 364, 370, 377, 382, 389, 394, 399 Snapshots 368 xv

8 Advanced Functions and Relations 408 Chapter Conic Sections 410 Introduction 409 Follow-Ups 429, 502, 529 Culmination 565 Getting Started 411 Getting Ready for the Next Lesson 416, 425, 431, 440, 448, 452 Study Organizer 411 Reading Tips 442, 449 Writing in Math 416, 425, 430, 439, 447, 452, Midpoint and Distance Formulas Algebra Activity: Midpoint and Distance Formulas in Three Dimensions Parabolas Circles Practice Quiz 1: Lessons 8-1 and Algebra Activity: Investigating Ellipses Ellipses Hyperbolas Practice Quiz 2: Lessons 8-4 and Conic Sections Algebra Activity: Conic Sections Solving Quadratic Systems Study Guide and Review Practice Test Multiple Choice 413, 414, 416, 425, 431, 439, 440, 447, 452, 459, 467, 468 Short Response/Grid In 469 Extended Response 469 Snapshots 448 Lesson 8-4, page 435 xvi

9 Unit 3 Getting Started 471 Getting Ready for the Next Lesson 478, 484, 490, 498, 504 Study Organizer 471 Chapter Writing in Math 477, 484, 490, 498, 503, 511 Rational Expressions and Equations Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Practice Quiz 1: Lessons 9-1 and Graphing Rational Functions Graphing Rational Functions Direct, Joint, and Inverse Variation Practice Quiz 2: Lessons 9-3 and Classes of Functions Solving Rational Equations and Inequalities Solving Rational Equations by Graphing Study Guide and Review Practice Test Multiple Choice 473, 476, 478, 484, 490, 498, 503, 504, 511, 517, 518 Short Response/Grid In 519 Extended Response 519 Snapshots 492 Lesson 9-5, page 503 xvii

10 Unit 3 Chapter Lesson 10-6, page 564 Exponential and Logarithmic Relations 520 Algebra Activity: Investigating Exponential Functions Exponential Functions Logarithms and Logarithmic Functions Practice Quiz 1: Lessons 10-1 and Modeling Real-World Data: Curve Fitting Properties of Logarithms Common Logarithms Solving Exponential and Logarithmic Equations and Inequalities Base e and Natural Logarithms Practice Quiz 2: Lessons 10-3 through Exponential Growth and Decay Study Guide and Review Practice Test Getting Started 521 Getting Ready for the Next Lesson 530, 538, 546, 551, 559 Multiple Choice 530, 537, 538, 546, 551, 559, 562, 563, 564, 571, 572 Short Response/Grid In 530, 546, 559, 564, 573 Extended Response 573 Study Organizer 521 Writing in Math 530, 537, 546, 551, 559, 564 Snapshots 535, 565 xviii

11 Discrete 574 Chapter Sequences and Series 576 Introduction 575 Follow-Ups 616, 635 Culmination 685 Getting Started 577 Getting Ready for the Next Lesson 582, 587, 592, 598, 604, 610, 617 Study Organizer 577 Reading Tips 606, 619 Writing in Math 582, 587, 592, 598, 603, 610, 616, Arithmetic Sequences Arithmetic Series Geometric Sequences Practice Quiz 1: Lessons 11-1 through Limits Geometric Series Infinite Geometric Series Spreadsheet Investigation: Amortizing Loans Recursion and Special Sequences Algebra Activity: Fractals The Binomial Theorem Practice Quiz 2: Lessons 11-4 through Proof and Mathematical Induction Study Guide and Review Practice Test Multiple Choice 582, 587, 588, 591, 592, 598, 603, 610, 616, 621, 627, 628 Short Response/Grid In 629 Extended Response 629 Snapshots 604 Lesson 11-5, page 603 xix

12 Unit 4 Chapter Probability and Statistics 630 Lesson 12-3, page The Counting Principle Permutations and Combinations Probability Practice Quiz 1: Lessons 12-1 through Multiplying Probabilities Adding Probabilities Statistical Measures Practice Quiz 2: Lessons 12-4 through The Normal Distribution Binomial Experiments Algebra Activity: Simulations Sampling and Error Algebra Activity: Testing Hypotheses Study Guide and Review Practice Test Getting Started 631 Getting Ready for the Next Lesson 637, 643, 650, 657, 663, 670, 675, 680 Multiple Choice 633, 634, 636, 642, 649, 657, 662, 669, 675, 680, 685, 693, 694 Short Response/Grid In 680, 695 Extended Response 695 Study Organizer 631 Reading Tips 633, 638, 644, 646, 665, 669 Writing in Math 636, 642, 649, 657, 662, 669, 675, 679, 685 Snapshots 658 xx

13 Trigonometry 696 Chapter Trigonometric Functions 698 Introduction 697 Follow-Ups 708, 775 Culmination 804 Getting Started 699 Getting Ready for the Next Lesson 708, 715, 724, 732, 738, 745 Study Organizer 699 Reading Tips 701, 709, 711, 718, 740 Writing in Math 708, 714, 724, 732, 737, 744, 751 Spreadsheet Investigation: Special Right Triangles Right Triangle Trigonometry Angles and Angle Measure Practice Quiz 1: Lessons 13-1 and Algebra Activity: Investigating Regular Polygons Using Trigonometry Trigonometric Functions of General Angles Law of Sines Law of Cosines Practice Quiz 2: Lessons 13-3 through Circular Functions Inverse Trigonometric Functions Study Guide and Review Practice Test Lesson 13-6, page 744 Multiple Choice 702, 706, 708, 714, 724, 732, 737, 738, 745, 751, 757, 758 Short Response/Grid In 708, 724, 732, 745, 751, 759 Extended Response 759 Snapshots 715 xxi

14 Unit 5 Lesson 14-7, page 803 Chapter Trigonometric Graphs and Identities Graphing Trigonometric Functions Translations of Trigonometric Graphs Trigonometric Identities Practice Quiz 1: Lessons 14-1 through Verifying Trigonometric Identities Sum and Difference of Angles Formulas Double-Angle and Half-Angle Formulas Practice Quiz 2: Lessons 14-4 through Solving Trigonometric Equations Solving Trigonometric Equations Study Guide and Review Practice Test Student Handbook Skills Extra Practice Mixed Problem Solving Preparing for Standardized Tests Reference English-Spanish Glossary...R1 Selected Answers...R20 Photo Credits...R86 Index...R87 Symbols and Formulas...Inside Back Cover Getting Started 761 Getting Ready for the Next Lesson 768, 776, 781, 785, 790, 797 Multiple Choice 768, 776, 781, 783, 784, 785, 790, 796, 804, 809, 810 Short Response/Grid In 811 Extended Response 811 Study Organizer 761 Reading Tips 786, 788 Writing in Math 768, 776, 781, 785, 790, 796, 804 Snapshots 797 xxii

Mathematics. Mathematics

Mathematics. Mathematics Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in

More information

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 Title: Precalculus Catalog Number: MATH 190 Credit Hours: 3 Total Contact Hours: 45 Instructor: Gwendolyn Blake Email: gblake@smccme.edu Website:

More information

Mathematics Assessment Plan

Mathematics Assessment Plan Mathematics Assessment Plan Mission Statement for Academic Unit: Georgia Perimeter College transforms the lives of our students to thrive in a global society. As a diverse, multi campus two year college,

More information

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic

More information

Statewide Framework Document for:

Statewide Framework Document for: Statewide Framework Document for: 270301 Standards may be added to this document prior to submission, but may not be removed from the framework to meet state credit equivalency requirements. Performance

More information

Syllabus ENGR 190 Introductory Calculus (QR)

Syllabus ENGR 190 Introductory Calculus (QR) Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.

More information

Honors Mathematics. Introduction and Definition of Honors Mathematics

Honors Mathematics. Introduction and Definition of Honors Mathematics Honors Mathematics Introduction and Definition of Honors Mathematics Honors Mathematics courses are intended to be more challenging than standard courses and provide multiple opportunities for students

More information

Mathematics subject curriculum

Mathematics subject curriculum Mathematics subject curriculum Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research on 24 June

More information

Learning Disability Functional Capacity Evaluation. Dear Doctor,

Learning Disability Functional Capacity Evaluation. Dear Doctor, Dear Doctor, I have been asked to formulate a vocational opinion regarding NAME s employability in light of his/her learning disability. To assist me with this evaluation I would appreciate if you can

More information

Math 150 Syllabus Course title and number MATH 150 Term Fall 2017 Class time and location INSTRUCTOR INFORMATION Name Erin K. Fry Phone number Department of Mathematics: 845-3261 e-mail address erinfry@tamu.edu

More information

Instructor: Matthew Wickes Kilgore Office: ES 310

Instructor: Matthew Wickes Kilgore Office: ES 310 MATH 1314 College Algebra Syllabus Instructor: Matthew Wickes Kilgore Office: ES 310 Longview Office: LN 205C Email: mwickes@kilgore.edu Phone: 903 988-7455 Prerequistes: Placement test score on TSI or

More information

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview Algebra 1, Quarter 3, Unit 3.1 Line of Best Fit Overview Number of instructional days 6 (1 day assessment) (1 day = 45 minutes) Content to be learned Analyze scatter plots and construct the line of best

More information

Math 098 Intermediate Algebra Spring 2018

Math 098 Intermediate Algebra Spring 2018 Math 098 Intermediate Algebra Spring 2018 Dept. of Mathematics Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: MyMathLab Course ID: Course Description This course expands on the

More information

Technical Manual Supplement

Technical Manual Supplement VERSION 1.0 Technical Manual Supplement The ACT Contents Preface....................................................................... iii Introduction....................................................................

More information

Grade 6: Correlated to AGS Basic Math Skills

Grade 6: Correlated to AGS Basic Math Skills Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and

More information

GUIDE TO THE CUNY ASSESSMENT TESTS

GUIDE TO THE CUNY ASSESSMENT TESTS GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev. 117.016110 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1

More information

CAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4-Year Subgroup: none Test Date: Spring 2011

CAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4-Year Subgroup: none Test Date: Spring 2011 CAAP Content Analysis Report Institution Code: 911 Institution Type: 4-Year Normative Group: 4-year Colleges Introduction This report provides information intended to help postsecondary institutions better

More information

Course Syllabus for Math

Course Syllabus for Math Course Syllabus for Math 1090-003 Instructor: Stefano Filipazzi Class Time: Mondays, Wednesdays and Fridays, 9.40 a.m. - 10.30 a.m. Class Place: LCB 225 Office hours: Wednesdays, 2.00 p.m. - 3.00 p.m.,

More information

SAT MATH PREP:

SAT MATH PREP: SAT MATH PREP: 2015-2016 NOTE: The College Board has redesigned the SAT Test. This new test will start in March of 2016. Also, the PSAT test given in October of 2015 will have the new format. Therefore

More information

Probability and Statistics Curriculum Pacing Guide

Probability and Statistics Curriculum Pacing Guide Unit 1 Terms PS.SPMJ.3 PS.SPMJ.5 Plan and conduct a survey to answer a statistical question. Recognize how the plan addresses sampling technique, randomization, measurement of experimental error and methods

More information

AP Calculus AB. Nevada Academic Standards that are assessable at the local level only.

AP Calculus AB. Nevada Academic Standards that are assessable at the local level only. Calculus AB Priority Keys Aligned with Nevada Standards MA I MI L S MA represents a Major content area. Any concept labeled MA is something of central importance to the entire class/curriculum; it is a

More information

Using Calculators for Students in Grades 9-12: Geometry. Re-published with permission from American Institutes for Research

Using Calculators for Students in Grades 9-12: Geometry. Re-published with permission from American Institutes for Research Using Calculators for Students in Grades 9-12: Geometry Re-published with permission from American Institutes for Research Using Calculators for Students in Grades 9-12: Geometry By: Center for Implementing

More information

Grading Policy/Evaluation: The grades will be counted in the following way: Quizzes 30% Tests 40% Final Exam: 30%

Grading Policy/Evaluation: The grades will be counted in the following way: Quizzes 30% Tests 40% Final Exam: 30% COURSE SYLLABUS FALL 2010 MATH 0408 INTERMEDIATE ALGEBRA Course # 0408.06 Course Schedule/Location: TT 09:35 11:40, A-228 Instructor: Dr. Calin Agut, Office: J-202, Department of Mathematics, Brazosport

More information

Answers To Hawkes Learning Systems Intermediate Algebra

Answers To Hawkes Learning Systems Intermediate Algebra Answers To Hawkes Learning Free PDF ebook Download: Answers To Download or Read Online ebook answers to hawkes learning systems intermediate algebra in PDF Format From The Best User Guide Database Double

More information

TabletClass Math Geometry Course Guidebook

TabletClass Math Geometry Course Guidebook TabletClass Math Geometry Course Guidebook Includes Final Exam/Key, Course Grade Calculation Worksheet and Course Certificate Student Name Parent Name School Name Date Started Course Date Completed Course

More information

DEVM F105 Intermediate Algebra DEVM F105 UY2*2779*

DEVM F105 Intermediate Algebra DEVM F105 UY2*2779* DEVM F105 Intermediate Algebra DEVM F105 UY2*2779* page iii Table of Contents CDE Welcome-----------------------------------------------------------------------v Introduction -------------------------------------------------------------------------xiii

More information

Revised on Common Course Number Data Sheet 221 Course Identification. Campus Course Attribute. Prerequisite Text Min.

Revised on Common Course Number Data Sheet 221 Course Identification. Campus Course Attribute. Prerequisite Text Min. Common Number Data Sheet 221 Campus 1 AMST150 MAN FGB NA 3 America and the World Examines America's role in world history and the influence of world affairs on U.S. culture and society. Focuses on U.S.

More information

OFFICE SUPPORT SPECIALIST Technical Diploma

OFFICE SUPPORT SPECIALIST Technical Diploma OFFICE SUPPORT SPECIALIST Technical Diploma Program Code: 31-106-8 our graduates INDEMAND 2017/2018 mstc.edu administrative professional career pathway OFFICE SUPPORT SPECIALIST CUSTOMER RELATIONSHIP PROFESSIONAL

More information

Mathematics SPA Report Section I Context

Mathematics SPA Report Section I Context MathematicsSPAReport SectionI Context StateandInstitutionalPolicies Threestateagencieslargelyoverseethepreparationandcertificationofnewteachers.TheTexasEducationAgency(TEA)isresponsiblefor providingleadership,guidance,andresourcestohelpschoolsmeettheeducationalneedsofallstudents,andistheprimaryadministrativeunit

More information

Florida Mathematics Standards for Geometry Honors (CPalms # )

Florida Mathematics Standards for Geometry Honors (CPalms # ) A Correlation of Florida Geometry Honors 2011 to the for Geometry Honors (CPalms #1206320) Geometry Honors (#1206320) Course Standards MAFS.912.G-CO.1.1: Know precise definitions of angle, circle, perpendicular

More information

Foothill College Summer 2016

Foothill College Summer 2016 Foothill College Summer 2016 Intermediate Algebra Math 105.04W CRN# 10135 5.0 units Instructor: Yvette Butterworth Text: None; Beoga.net material used Hours: Online Except Final Thurs, 8/4 3:30pm Phone:

More information

2003, Prentice-Hall, Inc. Giesecke Technical Drawing, 12e. Figure 4-1 Points and Lines.

2003, Prentice-Hall, Inc. Giesecke Technical Drawing, 12e. Figure 4-1 Points and Lines. Figure 4-1 Points and Lines. Figure 4-2 Angles. Figure 4-3 Triangles. Figure 4-4 Quadrilaterals. Figure 4-5 Regular Polygons. Figure 4-6 The Circle. Figure 4-7 Solids. Figure 4-7.1 Examples of Solids Created

More information

BENCHMARK MA.8.A.6.1. Reporting Category

BENCHMARK MA.8.A.6.1. Reporting Category Grade MA..A.. Reporting Category BENCHMARK MA..A.. Number and Operations Standard Supporting Idea Number and Operations Benchmark MA..A.. Use exponents and scientific notation to write large and small

More information

INTERMEDIATE ALGEBRA PRODUCT GUIDE

INTERMEDIATE ALGEBRA PRODUCT GUIDE Welcome Thank you for choosing Intermediate Algebra. This adaptive digital curriculum provides students with instruction and practice in advanced algebraic concepts, including rational, radical, and logarithmic

More information

LOUISIANA HIGH SCHOOL RALLY ASSOCIATION

LOUISIANA HIGH SCHOOL RALLY ASSOCIATION LOUISIANA HIGH SCHOOL RALLY ASSOCIATION Literary Events 2014-15 General Information There are 44 literary events in which District and State Rally qualifiers compete. District and State Rally tests are

More information

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15 PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION LLD MATH Length of Course: Elective/Required: School: Full Year Required Middle Schools Student Eligibility: Grades 6-8 Credit Value:

More information

Afm Math Review Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database

Afm Math Review Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database Afm Math Free PDF ebook Download: Afm Math Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database C++ for Game Programming with DirectX9.0c and Raknet. Lesson 1.

More information

Math 96: Intermediate Algebra in Context

Math 96: Intermediate Algebra in Context : Intermediate Algebra in Context Syllabus Spring Quarter 2016 Daily, 9:20 10:30am Instructor: Lauri Lindberg Office Hours@ tutoring: Tutoring Center (CAS-504) 8 9am & 1 2pm daily STEM (Math) Center (RAI-338)

More information

Capital Area Online Learning Association

Capital Area Online Learning Association Capital Area Online Learning Association Online Course Catalog High School 2017-2018 Course Offerings Table of Contents Edison Learning English... 10 English 1 English 2 English 3 English 4 SAT Critical

More information

Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice

Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Title: Considering Coordinate Geometry Common Core State Standards

More information

Page 1 of 8 REQUIRED MATERIALS:

Page 1 of 8 REQUIRED MATERIALS: INSTRUCTOR: OFFICE: PHONE / EMAIL: CONSULTATION: INSTRUCTOR WEB SITE: MATH DEPARTMENT WEB SITES: http:/ Online MATH 1010 INTERMEDIATE ALGEBRA Spring Semester 2013 Zeph Smith SCC N326 - G 957-3229 / zeph.smith@slcc.edu

More information

HOLMER GREEN SENIOR SCHOOL CURRICULUM INFORMATION

HOLMER GREEN SENIOR SCHOOL CURRICULUM INFORMATION HOLMER GREEN SENIOR SCHOOL CURRICULUM INFORMATION Subject: Mathematics Year Group: 7 Exam Board: (For years 10, 11, 12 and 13 only) Assessment requirements: Students will take 3 large assessments during

More information

Are You Ready? Simplify Fractions

Are You Ready? Simplify Fractions SKILL 10 Simplify Fractions Teaching Skill 10 Objective Write a fraction in simplest form. Review the definition of simplest form with students. Ask: Is 3 written in simplest form? Why 7 or why not? (Yes,

More information

MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008

MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008 MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008 Instructor: Nolan Rice Math Lab: T 2:00 2:50 Office: SHL 206-F Office Hours: M/F 2:00 2:50 Phone/Voice Mail: 732.6819 W 4:30 5:20 E-mail: nrice@csi.edu

More information

CUNY ASSESSMENT TESTS Webinar for International Students

CUNY ASSESSMENT TESTS Webinar for International Students CUNY ASSESSMENT TESTS Webinar for International Students 1 Today s Agenda ITEM 1 Description Overview of the CUNY ASSESSMENT TEST (CAT) What is the CUNY Assessment Test Why students need to take the CAT

More information

Please read this entire syllabus, keep it as reference and is subject to change by the instructor.

Please read this entire syllabus, keep it as reference and is subject to change by the instructor. Math 125: Intermediate Algebra Syllabus Section # 3288 Fall 2013 TTh 4:10-6:40 PM MATH 1412 INSTRUCTOR: Nisakorn Srichoom (Prefer to be call Ms. Nisa or Prof. Nisa) OFFICE HOURS: Tuesday at 6:40-7:40 PM

More information

Probability and Game Theory Course Syllabus

Probability and Game Theory Course Syllabus Probability and Game Theory Course Syllabus DATE ACTIVITY CONCEPT Sunday Learn names; introduction to course, introduce the Battle of the Bismarck Sea as a 2-person zero-sum game. Monday Day 1 Pre-test

More information

MAT 122 Intermediate Algebra Syllabus Summer 2016

MAT 122 Intermediate Algebra Syllabus Summer 2016 Instructor: Gary Adams Office: None (I am adjunct faculty) Phone: None Email: gary.adams@scottsdalecc.edu Office Hours: None CLASS TIME and LOCATION: Title Section Days Time Location Campus MAT122 12562

More information

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General Grade(s): None specified Unit: Creating a Community of Mathematical Thinkers Timeline: Week 1 The purpose of the Establishing a Community

More information

UNIT ONE Tools of Algebra

UNIT ONE Tools of Algebra UNIT ONE Tools of Algebra Subject: Algebra 1 Grade: 9 th 10 th Standards and Benchmarks: 1 a, b,e; 3 a, b; 4 a, b; Overview My Lessons are following the first unit from Prentice Hall Algebra 1 1. Students

More information

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education GCSE Mathematics B (Linear) Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education Mark Scheme for November 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge

More information

Montana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011

Montana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Montana Content Standards for Mathematics Grade 3 Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Contents Standards for Mathematical Practice: Grade

More information

Written by Wendy Osterman

Written by Wendy Osterman Pre-Algebra Written by Wendy Osterman Editor: Alaska Hults Illustrator: Corbin Hillam Designer/Production: Moonhee Pak/Cari Helstrom Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project

More information

Algebra 2- Semester 2 Review

Algebra 2- Semester 2 Review Name Block Date Algebra 2- Semester 2 Review Non-Calculator 5.4 1. Consider the function f x 1 x 2. a) Describe the transformation of the graph of y 1 x. b) Identify the asymptotes. c) What is the domain

More information

EGRHS Course Fair. Science & Math AP & IB Courses

EGRHS Course Fair. Science & Math AP & IB Courses EGRHS Course Fair Science & Math AP & IB Courses Science Courses: AP Physics IB Physics SL IB Physics HL AP Biology IB Biology HL AP Physics Course Description Course Description AP Physics C (Mechanics)

More information

Pre-AP Geometry Course Syllabus Page 1

Pre-AP Geometry Course Syllabus Page 1 Pre-AP Geometry Course Syllabus 2015-2016 Welcome to my Pre-AP Geometry class. I hope you find this course to be a positive experience and I am certain that you will learn a great deal during the next

More information

Math Techniques of Calculus I Penn State University Summer Session 2017

Math Techniques of Calculus I Penn State University Summer Session 2017 Math 110 - Techniques of Calculus I Penn State University Summer Session 2017 Instructor: Sergio Zamora Barrera Office: 018 McAllister Bldg E-mail: sxz38@psu.edu Office phone: 814-865-4291 Office Hours:

More information

Missouri Mathematics Grade-Level Expectations

Missouri Mathematics Grade-Level Expectations A Correlation of to the Grades K - 6 G/M-223 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley Mathematics in meeting the

More information

Math 121 Fundamentals of Mathematics I

Math 121 Fundamentals of Mathematics I I. Course Description: Math 121 Fundamentals of Mathematics I Math 121 is a general course in the fundamentals of mathematics. It includes a study of concepts of numbers and fundamental operations with

More information

Janine Williams, Mary Rose Landon

Janine Williams, Mary Rose Landon TI-nspire Activity Janine Williams, Mary Rose Landon Course Level: Advanced Algebra, Precalculus Time Frame: 2-3 regular (45 min.) class sessions Objectives: Students will... 1. Explore the Unit Circle,

More information

PROGRAM REVIEW CALCULUS TRACK MATH COURSES (MATH 170, 180, 190, 191, 210, 220, 270) May 1st, 2012

PROGRAM REVIEW CALCULUS TRACK MATH COURSES (MATH 170, 180, 190, 191, 210, 220, 270) May 1st, 2012 PROGRAM REVIEW CALCULUS TRACK MATH COURSES (MATH 170, 180, 190, 191, 210, 220, 270) May 1st, 2012 MICHAEL BATEMAN JILL EVENSIZER GREG FRY HAMZA HAMZA LINDA HO ROBERT HORVATH BOB LEWIS ASHOD MINASIAN KRISTINE

More information

Math 181, Calculus I

Math 181, Calculus I Math 181, Calculus I [Semester] [Class meeting days/times] [Location] INSTRUCTOR INFORMATION: Name: Office location: Office hours: Mailbox: Phone: Email: Required Material and Access: Textbook: Stewart,

More information

Math 22. Fall 2016 TROUT

Math 22. Fall 2016 TROUT Math 22 Fall 2016 TROUT Instructor: Kip Trout, B.S., M.S. Office Hours: Mon; Wed: 11:00 AM -12:00 PM in Room 13 RAB Tue; Thur: 3:15 PM -4:15 PM in Room 13 RAB Phone/Text: (717) 676 1274 (Between 10 AM

More information

SANTIAGO CANYON COLLEGE Reading & English Placement Testing Information

SANTIAGO CANYON COLLEGE Reading & English Placement Testing Information SANTIAGO CANYON COLLEGE Reaing & English Placement Testing Information DO YOUR BEST on the Reaing & English Placement Test The Reaing & English placement test is esigne to assess stuents skills in reaing

More information

Ghanaian Senior High School Students Error in Learning of Trigonometry

Ghanaian Senior High School Students Error in Learning of Trigonometry OPEN ACCESS INTERNATIONAL JOURNAL OF ENVIRONMENTAL & SCIENCE EDUCATION 2017, VOL. 12, NO. 8, 1709-1717 Ghanaian Senior High School Students Error in Learning of Trigonometry Farouq Sessah Mensah a a University

More information

THE UNIVERSITY OF SYDNEY Semester 2, Information Sheet for MATH2068/2988 Number Theory and Cryptography

THE UNIVERSITY OF SYDNEY Semester 2, Information Sheet for MATH2068/2988 Number Theory and Cryptography THE UNIVERSITY OF SYDNEY Semester 2, 2017 Information Sheet for MATH2068/2988 Number Theory and Cryptography Websites: It is important that you check the following webpages regularly. Intermediate Mathematics

More information

Course Offerings SUBJECT AND COURSE REQUIREMENTS

Course Offerings SUBJECT AND COURSE REQUIREMENTS Mira Mesa High School 10510 Reagan Road San Diego, CA 92126 (858) 566-2262 phone (858) 549-9541 fax http://sandi.net/miramesa Course Offerings SUBJECT AND COURSE REQUIREMENTS Minimum Semester Credits Required

More information

Julia Smith. Effective Classroom Approaches to.

Julia Smith. Effective Classroom Approaches to. Julia Smith @tessmaths Effective Classroom Approaches to GCSE Maths resits julia.smith@writtle.ac.uk Agenda The context of GCSE resit in a post-16 setting An overview of the new GCSE Key features of a

More information

Extending Place Value with Whole Numbers to 1,000,000

Extending Place Value with Whole Numbers to 1,000,000 Grade 4 Mathematics, Quarter 1, Unit 1.1 Extending Place Value with Whole Numbers to 1,000,000 Overview Number of Instructional Days: 10 (1 day = 45 minutes) Content to Be Learned Recognize that a digit

More information

Math Grade 3 Assessment Anchors and Eligible Content

Math Grade 3 Assessment Anchors and Eligible Content Math Grade 3 Assessment Anchors and Eligible Content www.pde.state.pa.us 2007 M3.A Numbers and Operations M3.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among

More information

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade The third grade standards primarily address multiplication and division, which are covered in Math-U-See

More information

Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall Phone:

Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall Phone: Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall 2011 Instructor s Name: Ricky Streight Hours Credit: 3 Phone: 405-945-6794 email: ricky.streight@okstate.edu 1. COURSE: Math 2103

More information

Characteristics of Functions

Characteristics of Functions Characteristics of Functions Unit: 01 Lesson: 01 Suggested Duration: 10 days Lesson Synopsis Students will collect and organize data using various representations. They will identify the characteristics

More information

Course Goal This is the final course in the developmental mathematics sequence and its purpose is to prepare students for College Algebra.

Course Goal This is the final course in the developmental mathematics sequence and its purpose is to prepare students for College Algebra. Mathematics ONLINE Math 0312: Intermediate Algebra CRN 86448 Spring 2 nd Eight Weeks/2016 3 hour lecture course +1hour lab / 64 hours per semester/ 8 weeks Textbook: Introductory and Intermediate Algebra.

More information

MTH 141 Calculus 1 Syllabus Spring 2017

MTH 141 Calculus 1 Syllabus Spring 2017 Instructor: Section/Meets Office Hrs: Textbook: Calculus: Single Variable, by Hughes-Hallet et al, 6th ed., Wiley. Also needed: access code to WileyPlus (included in new books) Calculator: Not required,

More information

Bittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley.

Bittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley. Course Syllabus Course Description Explores the basic fundamentals of college-level mathematics. (Note: This course is for institutional credit only and will not be used in meeting degree requirements.

More information

School of Innovative Technologies and Engineering

School of Innovative Technologies and Engineering School of Innovative Technologies and Engineering Department of Applied Mathematical Sciences Proficiency Course in MATLAB COURSE DOCUMENT VERSION 1.0 PCMv1.0 July 2012 University of Technology, Mauritius

More information

Standard 1: Number and Computation

Standard 1: Number and Computation Standard 1: Number and Computation Standard 1: Number and Computation The student uses numerical and computational concepts and procedures in a variety of situations. Benchmark 1: Number Sense The student

More information

1.11 I Know What Do You Know?

1.11 I Know What Do You Know? 50 SECONDARY MATH 1 // MODULE 1 1.11 I Know What Do You Know? A Practice Understanding Task CC BY Jim Larrison https://flic.kr/p/9mp2c9 In each of the problems below I share some of the information that

More information

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Curriculum Overview Mathematics 1 st term 5º grade - 2010 TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Multiplies and divides decimals by 10 or 100. Multiplies and divide

More information

AP Statistics Summer Assignment 17-18

AP Statistics Summer Assignment 17-18 AP Statistics Summer Assignment 17-18 Welcome to AP Statistics. This course will be unlike any other math class you have ever taken before! Before taking this course you will need to be competent in basic

More information

STA 225: Introductory Statistics (CT)

STA 225: Introductory Statistics (CT) Marshall University College of Science Mathematics Department STA 225: Introductory Statistics (CT) Course catalog description A critical thinking course in applied statistical reasoning covering basic

More information

Dublin City Schools Mathematics Graded Course of Study GRADE 4

Dublin City Schools Mathematics Graded Course of Study GRADE 4 I. Content Standard: Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems and reasonable estimates using paper and pencil, technology-supported

More information

Radius STEM Readiness TM

Radius STEM Readiness TM Curriculum Guide Radius STEM Readiness TM While today s teens are surrounded by technology, we face a stark and imminent shortage of graduates pursuing careers in Science, Technology, Engineering, and

More information

First Grade Standards

First Grade Standards These are the standards for what is taught throughout the year in First Grade. It is the expectation that these skills will be reinforced after they have been taught. Mathematical Practice Standards Taught

More information

Helping Your Children Learn in the Middle School Years MATH

Helping Your Children Learn in the Middle School Years MATH Helping Your Children Learn in the Middle School Years MATH Grade 7 A GUIDE TO THE MATH COMMON CORE STATE STANDARDS FOR PARENTS AND STUDENTS This brochure is a product of the Tennessee State Personnel

More information

Cal s Dinner Card Deals

Cal s Dinner Card Deals Cal s Dinner Card Deals Overview: In this lesson students compare three linear functions in the context of Dinner Card Deals. Students are required to interpret a graph for each Dinner Card Deal to help

More information

Lecture Notes on Mathematical Olympiad Courses

Lecture Notes on Mathematical Olympiad Courses Lecture Notes on Mathematical Olympiad Courses For Junior Section Vol. 2 Mathematical Olympiad Series ISSN: 1793-8570 Series Editors: Lee Peng Yee (Nanyang Technological University, Singapore) Xiong Bin

More information

Clackamas CC BI 231, 232, 233 BI 231,232, BI 234 BI 234 BI 234 BI 234 BI 234 BI 234 BIOL 234, 235, 323 or 244

Clackamas CC BI 231, 232, 233 BI 231,232, BI 234 BI 234 BI 234 BI 234 BI 234 BI 234 BIOL 234, 235, 323 or 244 OHSU Requirements (All Programs) Number of Required Quarter Credits Blue Mountain Central Chemeketa Clackamas Clatsop Columbia Gorge Eastern Klamath Lane Linn- Benton Mt. Hood Anatomy & Physiology 1, 2,

More information

Mathematics Success Level E

Mathematics Success Level E T403 [OBJECTIVE] The student will generate two patterns given two rules and identify the relationship between corresponding terms, generate ordered pairs, and graph the ordered pairs on a coordinate plane.

More information

Curriculum Guide 7 th Grade

Curriculum Guide 7 th Grade Curriculum Guide 7 th Grade Kesling Middle School LaPorte Community School Corporation Mr. G. William Wilmsen, Principal Telephone (219) 362-7507 Mr. Mark Fridenmaker, Assistant Principal Fax (219) 324-5712

More information

Alignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program

Alignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program Alignment of s to the Scope and Sequence of Math-U-See Program This table provides guidance to educators when aligning levels/resources to the Australian Curriculum (AC). The Math-U-See levels do not address

More information

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Using and applying mathematics objectives (Problem solving, Communicating and Reasoning) Select the maths to use in some classroom

More information

Diagnostic Test. Middle School Mathematics

Diagnostic Test. Middle School Mathematics Diagnostic Test Middle School Mathematics Copyright 2010 XAMonline, Inc. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form or by

More information

This scope and sequence assumes 160 days for instruction, divided among 15 units.

This scope and sequence assumes 160 days for instruction, divided among 15 units. In previous grades, students learned strategies for multiplication and division, developed understanding of structure of the place value system, and applied understanding of fractions to addition and subtraction

More information

Exploring Derivative Functions using HP Prime

Exploring Derivative Functions using HP Prime Exploring Derivative Functions using HP Prime Betty Voon Wan Niu betty@uniten.edu.my College of Engineering Universiti Tenaga Nasional Malaysia Wong Ling Shing Faculty of Health and Life Sciences, INTI

More information

MTH 215: Introduction to Linear Algebra

MTH 215: Introduction to Linear Algebra MTH 215: Introduction to Linear Algebra Fall 2017 University of Rhode Island, Department of Mathematics INSTRUCTOR: Jonathan A. Chávez Casillas E-MAIL: jchavezc@uri.edu LECTURE TIMES: Tuesday and Thursday,

More information

Sample Problems for MATH 5001, University of Georgia

Sample Problems for MATH 5001, University of Georgia Sample Problems for MATH 5001, University of Georgia 1 Give three different decimals that the bundled toothpicks in Figure 1 could represent In each case, explain why the bundled toothpicks can represent

More information

Fairfield Methodist School (Secondary) Topics for End of Year Examination Term

Fairfield Methodist School (Secondary) Topics for End of Year Examination Term End of Year examination papers will cover all the topics taught in Sec 2 for each subject unless otherwise stated below. Oral Exam for Languages will be conducted by teachers outside of the EOY exam period.

More information

McDonald's Corporation

McDonald's Corporation McDonald's Corporation Case Writeup Individual Case # 2 The George Washington University Executive MBA Program EMBA 220: Operations Management Professor Sanjay Jain, Ph.D. February 20, 2010 Robert Paul

More information