Algebra 2 Glossary. English Tagalog

Size: px
Start display at page:

Download "Algebra 2 Glossary. English Tagalog"

Transcription

1 Glossary High School Level Algebra 2 Glossary English Tagalog Translation of Algebra 2 and Trigonometry terms based on the Coursework for Algebra 2 and Trigonometry Grades 9 to 12. This glossary is to PROVIDE PERMITTED TESTING ACCOMMODATIONS of ELL/MLL students. It should also be used for INSTRUCTION during the school year. The glossary may be downloaded, printed and disseminated to educators, parents and ELLs/MLLs. Please click here for the New York State Office of Bilingual Education and World Languages Webpage on "Assessment and Testing Accommodations" THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY Last Updated: October 2018

2 GLOSSARY ENGLISH LANGUAGE ARTS ENGLISH SPANISH THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY P 16 Office of Elementary, Middle, Secondary and Continuing Education and Office of Higher Education Office of Bilingual Education and Foreign Language Studies THE UNIVERSITY OF THE STATE OF NEW YORK Regents of the University BETTY A. ROSA, Chancellor, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D.... Bronx T. ANDREW BROWN, Vice Chancellor, B.A., J.D.... Syracuse NAN EILEEN MEAD, B.A.... Manhattan JOSEPHINE VICTORIA FINN, B.A., J.D.... Albany BEVERLY L. OUDERKIRK, B.S., M.S.... Saratoga ELIZABETH. S. HAKANSON... Onondaga CATHERINE COLLINS, B.S., M.S., Ph.D.... West New York JAMES R. TALLON, R., B.A., M.A.... Binghamton ROGER TILLES, B.A., J.D... Great Neck JUDITH JOHNSON, B.A., M.A., Ed.D.... Mid-Hudson LUIS O. REYES, B.A., M.A., Ph.D.... New York LESTER W. YOUNG, JR., B.S., M.S., Ed. D.... Oakland Gardens CHRISTINE D. CEA, B.A., M.A., Ph.D.... Staten Island WADE S. NORWOOD, B.A.... Rochester JUDITH CHIN, B.S., M.S.,... Queens KATHLEEN M. CASHIN, B.S., M.S., Ed.D... Brooklyn JAMES E. COTTRELL, B.S., M.D... New York Commissioner of Education President of The University of the State of New York MARYELLEN ELIA Executive Deputy Commissioner ELIZABETH BERLIN The State Education Department does not discriminate on the basis of age, color, religion, creed, disability, marital status, veteran status, national origin, race, gender, genetic predisposition or carrier status, or sexual orientation in its educational programs, services and activities. Portions of this publication can be made available in a variety of formats, including Braille, large print or audio tape, upon request. Inquiries concerning this policy of nondiscrimination should be directed to the Department s Office for Diversity, Ethics, and Access, Room 530, Education Building, Albany, NY Requests for additional copies of this publication may be made by contacting the Publications Sales Desk, Room 319, Education Building, Albany, NY NYS LANGUAGE RBE RN AT NYU PAGE

3 Problem Solving algebraically alternate approach collaborate conjecture constraint critique equivalent evaluate explain formulate generalization graphically interpret multiple representations numerically observe parameter strategy verbally Reasoning and Proof argument axiom conclusion conjecture counterexample discover exact answer explain explore general case inductive reasoning Informal indirect proof investigate justify refute specific result theorem accuracy appropriate challenge chart coherent Communication sa pamamagitan ng algebra alternatibong pamamaraan collaborate haka haka constraint critique katumbas suriin ipaliwanag mag formulate heneralisasyon sa pamamagitan ng graph mag interpret maramihang representasyon sa pamamagitan ng numero obserbahan parametro istratehiya sa pamamagitan ng pananalita Paglutas ng Problema Pangangatwiran at Pagpapatunay argumento axiom konklusyon haka haka kabaliktarang halimbawa tuklasin eksaktong sagot ipaliwanag galugarin pangkalahatang kaso inductive na pangangatwiran Impormal na hindi direktang pagpapatunay imbestigahan bigyang katwiran pabulaanan partikular na resulta teorama pagkatumpak angkop paghamon tsart magkaugnay Komunikasyon NYS Statewide Language RBERN 1

4 comprehension conjecture decoding diagram formula graph interpretation logical argument mathematical representation numerical tables organize outline rationale reflect standard notation strategy symbol technical writing terminology validity verbal explanation written explanation Connections concept conclusion formulate multiple representation physical model procedure quantitative model representation Representation algebraic representation apply chart communicate compare concept diagram explore graph graphical representation komprehensiyon haka haka pag decode diagram formula graph interpretasyon lohikal na argumento matematikal na interpretasyon numerikal na talahanayan organisahin outline rasyonal reflect standard notation istratehiya simbolo teknikal na pagsulat terminolohiya pagkabalido verbal na paliwanag nakasulat na paliwanag konsepto konklusyon mag formulate maramihang representasyon pisikal na modelo pamamaraan quantitative na modelo representasyon algebraic na representasyon i apply tsart ikomunika ipaghambing konsepto diagram galugarin graph graphical na representasyon Mga Koneksyon Representasyon NYS Statewide Language RBERN 2

5 investigate imbestigahan mathematical phenomena matematikal na phenomena multiple representations maramihang representasyon organize organisahin physical object pisikal na bagay physical phenomena pisikal na phenomena recognize kilalanin record i record social phenomena social na phenomena symbol simbolo table talahanayan technology teknolohiya translate i translate Number Sense and Operations Number Sense at Mga Operation a+bi form a+bi form absolute value absolute na halaga complex fraction complex fraction complex number complex na numero conjugate conjugate direct variation direct variation e e fractional exponent fractional exponent imaginary number imaginary number index of a radical index ng radical inverse variation inverse variation irrational number irrational na numero negative exponent negative exponent nth root nth root operation operation pi pi powers of i powers ng i principal square root prinsipal na square root procedure pamamaraan radical radical radical form radical form radicand radicand rational number rational na numero rationalize a denominator i rationalize ang denominator real number real na numero scientific notation scientific notation sigma sigma sigma notation sigma notation NYS Statewide Language RBERN 3

6 Algebra abscissa absolute value absolute value absolute value absolute value inequality adjacent angles adjacent sides algebraic expression algebraic representation ambiguous case amplitude analyze angle angle in standard position angle of depression angle of elevation antilogarithm approximate value arc length arc cosine arc sine arc tangent area of a parallelogram using SAS area of a triangle using SAS arithmetic sequence arithmetic series asymptote base base of a logarithmic base of an exponential binomial expansion binomial theorem center radius of a circle central angle circle circular s coefficient cos common base (s) common difference common factor common logarithm common ratio completing the square complex fractional expressions Algebra abscissa absolute na halaga absolute value absolute value absolute value inequality mga katabing anggulo mga adjacent side algebraic expression algebraic na representasyon ambiguous na kaso amplitude analyze anggulo anggulo sa standard position anggulo ng depression anggulo ng elevation antilogarithm tinatayang halaga haba ng arko cosine ng arko sine ng arko tangent ng arko area ng parallelogram gamit ang SAS area ng tatsulok gamit ang SAS arithmetic na pagkakasunod sunod arithmetic na serye asymptote base base ng logarithmic base ng exponential binomial expansion binomial theorem center radius ng bilog gitnang anggulo bilog mga circular coefficient mga co (mga) common base common difference common factor common logarithm common ratio pagkumpleto ng square mga complex fractional expression NYS Statewide Language RBERN 4

7 compositions of s compound interest constant cosecant cosine cotangent degree of a polynomial difference of two perfect squares direct variation discriminant domain double and half angle formulas for trigonometric double root e equivalent forms exact value expand a binomial explicit definition exponential form exponential extraneous root factor fractional exponent frequency (of a periodic ) notation geometric sequence geometric series graphical solution of s greatest common factor (GCF) growth factor half life i identities initial side of an angle inverse inverse trigonometric s inverse variation law of Cosines laws of Sines laws of exponents laws of logarithms linear linear expression linear systems mga composition ng mga compound interest constant cosecant cosine cotangent degree ng polynomial kaibahan ng dalawang perpektong square direct variation discriminant domain double at half angle na mga formula para sa trigonometric double root e mga equivalent form eksaktong halaga mag expand ng binomial explicit na definition exponential form exponential extraneous root factor fractional exponent frequency (ng periodic ) notation geometric sequence geometric na serye graphical solution ng mga greatest common factor (GCF) growth factor half life i mga identity initial side ng anggulo inverse mga inverse trigonometric inverse variation law of mga Cosine mga law ng Sine mga law ng mga exponent mga law ng mga logarithm linear linear expression mga linear system NYS Statewide Language RBERN 5

8 logarithm logarithmic form lowest terms nature of the roots negative exponent nth root nth term one cycle of a trigonometric one to one onto opposite side in a right triangle ordinate parabola parameter period (of a ) periodic phase shift polynomial expression polynomial Powers of i Pythagorean identities quadrant angle quadratic quadratic formula quadratic inequality quadratic trinomial radius range (of a ) rational coefficient rational rational expression rational inequality rationalize denominators reciprocal trigonometric s recursive definition reference angle relation replacement represent restricted domain resultant right triangle trigonometry root of an secant (of an angle) sigma notation sine solution set logarithm logarithmic form mga pinakamababang term nature ng mga root negative exponent nth root nth term one cycle ng trigonometric one to one onto opposite side sa right na tatsulok ordinate parabola parametro period (ng ) periodic phase shift polynomial expression polynomial Powers ng i Mga Pythagorean identity quadrant angle quadratic na quadratic na formula quadratic inequality quadratic trinomial radius range (ng ) rational coefficient rational rational expression rational inequality i rationalize ang mga denominator mga reciprocal trigonometric recursive definition reference angle relation kapalit represent restricted domain resultant right triangle trigonometry root ng secant (ng angle) sigma notation sine set ng solusyon NYS Statewide Language RBERN 6

9 standard position (of an angle) subset sum and product or roots of a quadratic sum of an arithmetic series sum of a geometric series systems of s/inequalities tangent (of an angle) technology terminal side of an angle transformation transformations of s and relations trigonometric trigonometric s unit circle variable vector vertical line test zero of a zero product property Geometry absolute value absolute value absolute value inequality angle in standard position angle of depression angle of elevation area of a parallelogram using SAS area of a triangle using SAS circle coefficient generalize geometric representation of a circular graph of a relation graphical representation graphical solution of s investigate ordered pair parabola rational coefficient rectangular coordinates relation root of an sector of a circle standard position (ng angle) subset sum at product o mga root ng quadratic sum ng arithmetic series sum ng geometric series mga system ng mga /inequality tangent (ng angle) teknolohiya terminal side ng angle transformation mga transformation ng mga at relation trigonometric mga trigonometric unit circle variable vector vertical line test zero ng zero product property Geometry absolute na halaga absolute value absolute value inequality anggulo sa standard position anggulo ng depression anggulo ng elevation area ng parallelogram gamit ang SAS area ng tatsulok gamit ang SAS bilog coefficient i generalize geometric na representasyo ng circular graph ng relation graphical na representasyon graphical solution ng mga imbestigahan ordered pair parabola rational coefficient mga rektanggulong coordinate relation root ng sector ng bilog NYS Statewide Language RBERN 7

10 slope triangle vertex visualization arc length degree measure measure of central angle minute radian measure Measurement Statistics and Probability at least at most Bernoulli experiments biased sample bimodal binomial probability formula bivariate data central tendency combination compound event conjecture controlled experiment correlation coefficient counting principle exactly experimental probability extrapolate frequency (of a data set) frequency distribution grouped frequency distribution index in statistics interpolate interquartile range least squares regression line line of best fit linear regression mean measure of central tendency measure of dispersion median mode normal curve normal distribution observation slope tatsulok vertex visualization haba ng arko sukat ng degree sukat ng sentrong anggulo minute sukat ng radian hindi bababa sa hindi lalagpas sa mga Bernoulli experiment biased na sample bimodal binomial probability formula bivariate data central tendency kumbinasyon compound event haka haka kontroladong experiment correlation ng coefficient counting principle eksakto experimental na probability extrapolate frequency (ng data set) frequency distribution grouped frequency distribution index sa statistics interpolate interquartile range least squares regression line line ng best fit linear regression mean sukat ng central tendency sukat ng dispersion median mode normal na curve normal na distribution obserbasyon Pagsukat Statistics at Probability NYS Statewide Language RBERN 8

11 outlier Pascal s triangle percentile permutation probability quartiles random sample range (of a data set) regression regression model sample space scatter plot standard deviation (population) standard deviation (sample) statistics survey technology theoretical probability univariate data variance (population) variance (sample) outlier tatsulok ni Pascal percentile permutation probability quartiles random na sample range (ng data set) regression regression model sample space scatter plot standard deviation (population) standard deviation (sample) statistics sarbey teknolohiya theoretical probability univariate data variance (population) variance (sample) NYS Statewide Language RBERN 9

Algebra 2 Glossary. English Karen

Algebra 2 Glossary. English Karen Glossary High School Level Algebra 2 Glossary English Karen Translation of Algebra 2 and Trigonometry terms based on the Coursework for Algebra 2 and Trigonometry Grades 9 to 12. This glossary is to PROVIDE

More information

a+bi form abscissa absolute value x x x absolute value equation x x absolute value function absolute value inequality x x accurate adjacent angles

a+bi form abscissa absolute value x x x absolute value equation x x absolute value function absolute value inequality x x accurate adjacent angles Words CR PS Reason Comm Geom ALG Stat Prob NSO a+bi form abscissa absolute value absolute value equation absolute value function absolute value inequality accurate adjacent angles adjacent sides algebraic

More information

Integrated Algebra. Glossary. High School Level. English / Tagalog

Integrated Algebra. Glossary. High School Level. English / Tagalog High School Level Glossary Integrated Algebra Glossary English / Tagalog Translation of Integrated Algebra terms based on the Coursework for Integrated Algebra Grades 9 to 12. Word-for-word glossaries

More information

correlated to the New York State Learning Standards for Mathematics Algebra 2 and Trigonometry

correlated to the New York State Learning Standards for Mathematics Algebra 2 and Trigonometry correlated to the New York State Learning Standards for Mathematics Algebra 2 and Trigonometry McDougal Littell Algebra 2 2007 correlated to the New York State Learning Standards for Mathematics Algebra

More information

Algebra 2 and Trigonometry

Algebra 2 and Trigonometry Page 1 Algebra 2 and Trigonometry In implementing the Algebra 2 and Trigonometry process and content performance indicators, it is expected that students will identify and justify mathematical relationships,

More information

Topic Outline for Integrated Algebra 2 and Trigonometry-R One Year Program with Regents in June

Topic Outline for Integrated Algebra 2 and Trigonometry-R One Year Program with Regents in June Topic Outline for Integrated Algebra 2 and Trigonometry-R One Year Program with Regents in June Integrated Algebra 2 & Trigonometry - R Semester 1 1. Rational Expressions 7 Days A. Factoring A2.A.7 Factor

More information

NYS Algebra II and Trigonometry Suggested Sequence of Units (P.I's within each unit are NOT in any suggested order)

NYS Algebra II and Trigonometry Suggested Sequence of Units (P.I's within each unit are NOT in any suggested order) 1 of 6 UNIT P.I. 1 - INTEGERS 1 A2.A.1 Solve absolute value equations and inequalities involving linear expressions in one variable 1 A2.A.4 * Solve quadratic inequalities in one and two variables, algebraically

More information

Algebra 2 and Trigonometry

Algebra 2 and Trigonometry Algebra 2 and Trigonometry Number Sense and Operations Strand Students will understand meanings of operations and procedures, and how they relate to one another. Operations A2.N.1 Evaluate numerical expressions

More information

1 Chapter 2 Perform arithmetic operations with polynomial expressions containing rational coefficients 2-2, 2-3, 2-4

1 Chapter 2 Perform arithmetic operations with polynomial expressions containing rational coefficients 2-2, 2-3, 2-4 NYS Performance Indicators Chapter Learning Objectives Text Sections Days A.N. Perform arithmetic operations with polynomial expressions containing rational coefficients. -, -5 A.A. Solve absolute value

More information

Integrated Algebra. Glossary. High School Level. English / Karen

Integrated Algebra. Glossary. High School Level. English / Karen High School Level Glossary Integrated Algebra Glossary English / Karen Translation of Integrated Algebra terms based on the Coursework for Integrated Algebra Grades 9 to 12. Word-for-word glossaries are

More information

HIGH SCHOOL MATH CURRICULUM GRADE ELEVEN ALGEBRA 2 & TRIGONOMETRY N

HIGH SCHOOL MATH CURRICULUM GRADE ELEVEN ALGEBRA 2 & TRIGONOMETRY N VALLEY CENTRAL SCHOOL DISTRICT 944 STATE ROUTE 17K MONTGOMERY, NY 12549 Telephone Number: (845) 457-2400 ext. 8121 FAX NUMBER: (845) 457-4254 HIGH SCHOOL MATH CURRICULUM GRADE ELEVEN ALGEBRA 2 & TRIGONOMETRY

More information

Topic Outline for Algebra 2 & and Trigonometry One Year Program

Topic Outline for Algebra 2 & and Trigonometry One Year Program Topic Outline for Algebra 2 & and Trigonometry One Year Program Algebra 2 & and Trigonometry - N - Semester 1 1. Rational Expressions 17 Days A. Factoring A2.A.7 B. Rationals A2.N.3 A2.A.17 A2.A.16 A2.A.23

More information

Curriculum Map - Algebra 2/Trigonometry - Author: Kelly Cockren

Curriculum Map - Algebra 2/Trigonometry - Author: Kelly Cockren Page 1 of 19 Map: Algebra 2/Trigonometry Type: Consensus Grade Level: 11 School Year: 2010-2011 Author: Kelly Cockren District/Building: Island Trees/Island Trees High School Created: 07/19/2010 Last Updated:

More information

Pre AP Algebra. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra

Pre AP Algebra. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra Pre AP Algebra Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra 1 The content of the mathematics standards is intended to support the following five goals for students: becoming

More information

Curriculum Mapper - Complete Curriculum Maps CONTENT. 1.2 Evaluate expressions (p.18 Activity 1.2).

Curriculum Mapper - Complete Curriculum Maps CONTENT. 1.2 Evaluate expressions (p.18 Activity 1.2). Page 1 of 9 Close Window Print Page Layout Show Standards View Paragraph Format View Course Description MATH 3 (MASTER MAP) School: Binghamton High School Teacher: Master Map Email: Course #: 203 Grade

More information

Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards

Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Standard 2 : Number & Operations CLE 3103.2.1: CLE 3103.2.2: CLE 3103.2.3:

More information

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in

More information

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in

More information

West Windsor-Plainsboro Regional School District Algebra and Trigonometry Grades 11-12

West Windsor-Plainsboro Regional School District Algebra and Trigonometry Grades 11-12 West Windsor-Plainsboro Regional School District Algebra and Trigonometry Grades 11-12 Unit 1: Linear Relationships & Functions Content Area: Mathematics Course & Grade Level: Algebra & Trigonometry, 11

More information

Integrated Algebra Curriculum

Integrated Algebra Curriculum Integrated Algebra Curriculum Course Description: Course Essential Questions: Integrated Algebra Regents Exam Information: Approximate Percentage of Questions Assessing Each Strand Strand: Percent: Time

More information

Algebra II Learning Targets

Algebra II Learning Targets Chapter 0 Preparing for Advanced Algebra LT 0.1 Representing Functions Identify the domain and range of functions LT 0.2 FOIL Use the FOIL method to multiply binomials LT 0.3 Factoring Polynomials Use

More information

WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II

WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II UNIT: Review of Basic Algebra Skills as Needed SR1 and any Supplemental Materials UNIT : What skills from Algebra I are used in Algebra II? Review Algebra I Skills as Needed SR1 and any additional resources

More information

Secondary Honors Algebra II Objectives

Secondary Honors Algebra II Objectives Secondary Honors Algebra II Objectives Chapter 1 Equations and Inequalities Students will learn to evaluate and simplify numerical and algebraic expressions, to solve linear and absolute value equations

More information

Tennessee s State Mathematics Standards Precalculus

Tennessee s State Mathematics Standards Precalculus Tennessee s State Mathematics Standards Precalculus Domain Cluster Standard Number Expressions (N-NE) Represent, interpret, compare, and simplify number expressions 1. Use the laws of exponents and logarithms

More information

Secondary 1 - Secondary 3 CCSS Vocabulary Word List Revised Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation

Secondary 1 - Secondary 3 CCSS Vocabulary Word List Revised Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation (optional) absolute value function absolute value inequality (optional) acute angle addition rule algebraic representation alternate exterior angles

More information

Mathematics AKS

Mathematics AKS Integrated Algebra I A - Process Skills use appropriate technology to solve mathematical problems (GPS) (MAM1_A2009-1) build new mathematical knowledge through problem-solving (GPS) (MAM1_A2009-2) solve

More information

Histogram, cumulative frequency, frequency, 676 Horizontal number line, 6 Hypotenuse, 263, 301, 307

Histogram, cumulative frequency, frequency, 676 Horizontal number line, 6 Hypotenuse, 263, 301, 307 INDEX A Abscissa, 76 Absolute value, 6 7, 55 Absolute value function, 382 386 transformations of, reflection, 386 scaling, 386 translation, 385 386 Accuracy, 31 Acute angle, 249 Acute triangle, 263 Addition,

More information

Unit 1 Linear Functions I CAN: A.1.a Solve single-step and multistep equations and inequalities in one variable

Unit 1 Linear Functions I CAN: A.1.a Solve single-step and multistep equations and inequalities in one variable CUMBERLAND COUNTY SCHOOL DISTRICT BENCHMARK ASSESSMENT CURRICULUM PACING GUIDE School: CCHS Subject: Precalculus Grade: 12 Benchmark Assessment 1 Instructional Timeline: Units 1, 2, 3 Term 1 Dependent

More information

Catholic Central High School

Catholic Central High School Catholic Central High School Course: Basic Algebra 2 Department: Mathematics Length: One year Credit: 1 Prerequisite: Completion of Basic Algebra 1 or Algebra 1, Basic Plane Geometry or Plane Geometry,

More information

Mathematics: Essential Learning Expectations: 9 th -12th Grade:

Mathematics: Essential Learning Expectations: 9 th -12th Grade: Mathematics: Essential Learning Expectations: 9 th -12th Grade: Content Standard 1: Number Sense and Operation A student, applying reasoning and problem solving, will use number sense and operations to

More information

NEW YORK ALGEBRA TABLE OF CONTENTS

NEW YORK ALGEBRA TABLE OF CONTENTS NEW YORK ALGEBRA TABLE OF CONTENTS CHAPTER 1 NUMBER SENSE & OPERATIONS TOPIC A: Number Theory: Properties of Real Numbers {A.N.1} PART 1: Closure...1 PART 2: Commutative Property...2 PART 3: Associative

More information

Number Sense and Operations Strand

Number Sense and Operations Strand Number Sense and Operations Strand Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems. Number Theory NY A.N.1 Identify and apply the

More information

Grade Math (HL) Curriculum

Grade Math (HL) Curriculum Grade 11-12 Math (HL) Curriculum Unit of Study (Core Topic 1 of 7): Algebra Sequences and Series Exponents and Logarithms Counting Principles Binomial Theorem Mathematical Induction Complex Numbers Uses

More information

PAGE(S) WHERE TAUGHT (If submission is not a text, cite appropriate resource(s)) PROCESSES OF TEACHING AND LEARNING MATHEMATICS.

PAGE(S) WHERE TAUGHT (If submission is not a text, cite appropriate resource(s)) PROCESSES OF TEACHING AND LEARNING MATHEMATICS. Utah Core Curriculum for Mathematics, Processes of Teaching and Learning Mathematics and Intermediate Algebra Standards (Grades 9-12) MATHEMATICS Problem Solving 1. Select and use appropriate methods for

More information

Teacher: CORE Algebra Year: Essential Questions Content Skills Vocabulary Assessments

Teacher: CORE Algebra Year: Essential Questions Content Skills Vocabulary Assessments Teacher: CORE Algebra Year: 2010-11 Course: Algebra Month: All Months S e p t e m b e r THE LANGUAGE OF ALGEBRA AND REAL NUMBERS Essential Questions Content Skills Vocabulary Assessments Algebraic Properties

More information

Subtraction Property of Equality terms. x-axis x-coordinate x-intercept y-axis y-coordinate y-intercept

Subtraction Property of Equality terms. x-axis x-coordinate x-intercept y-axis y-coordinate y-intercept Algebra I Chapter 1 Chapter 2 additive identity range absolute value algebraic expression reciprocal additive inverses Associative Property Reflexive Property of Equality back-to-back stem and leaf bar

More information

Intermediate Level Learning Targets

Intermediate Level Learning Targets Learning Target #1: Develop proficiency in analyzing, graphing and solving linear equations and inequalities. F1.1,,, B1. C1. 1.1 Students will be able to identify different types of relations and functions.

More information

Algebra 2. Curriculum (384 topics additional topics)

Algebra 2. Curriculum (384 topics additional topics) Algebra 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

I-2 Index. Coterminal Angles, 738 Counting numbers, 8 Cramer, Gabriel, 309 Cramer s rule, 306 Cube root, 427, 434 Cylinder, right circular, 117

I-2 Index. Coterminal Angles, 738 Counting numbers, 8 Cramer, Gabriel, 309 Cramer s rule, 306 Cube root, 427, 434 Cylinder, right circular, 117 Index Absolute value, 18 equations, 154, 162 inequalities, 159, 162 Absolute error, 158 Addition, 4 associative property, 19 commutative property, 18 of complex numbers, 481 of fractions, 21 of functions,

More information

Contents. CHAPTER P Prerequisites 1. CHAPTER 1 Functions and Graphs 69. P.1 Real Numbers 1. P.2 Cartesian Coordinate System 14

Contents. CHAPTER P Prerequisites 1. CHAPTER 1 Functions and Graphs 69. P.1 Real Numbers 1. P.2 Cartesian Coordinate System 14 CHAPTER P Prerequisites 1 P.1 Real Numbers 1 Representing Real Numbers ~ Order and Interval Notation ~ Basic Properties of Algebra ~ Integer Exponents ~ Scientific Notation P.2 Cartesian Coordinate System

More information

9-12 Mathematics Vertical Alignment ( )

9-12 Mathematics Vertical Alignment ( ) Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing

More information

Polynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem

Polynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem Pre-Calculus Pre-AP Scope and Sequence - Year at a Glance Pre-Calculus Pre-AP - First Semester Pre-calculus with Limits; Larson/Hostetler Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd 3 weeks 4 th 3 weeks

More information

PreCalculus Honors Curriculum Pacing Guide First Half of Semester

PreCalculus Honors Curriculum Pacing Guide First Half of Semester Unit 1 Introduction to Trigonometry (9 days) First Half of PC.FT.1 PC.FT.2 PC.FT.2a PC.FT.2b PC.FT.3 PC.FT.4 PC.FT.8 PC.GCI.5 Understand that the radian measure of an angle is the length of the arc on

More information

Algebra and Trigonometry

Algebra and Trigonometry Algebra and Trigonometry 978-1-63545-098-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Jay Abramson, Arizona State

More information

correlated to the Virginia Standards of Learning Algebra II with Trigonometry

correlated to the Virginia Standards of Learning Algebra II with Trigonometry correlated to the Virginia Standards of Learning Algebra II with Trigonometry AII/T.1 The student will identify field properties, axioms of equality and inequality, and properties of order that are valid

More information

Region 16 Board of Education. Precalculus Curriculum

Region 16 Board of Education. Precalculus Curriculum Region 16 Board of Education Precalculus Curriculum 2008 1 Course Description This course offers students an opportunity to explore a variety of concepts designed to prepare them to go on to study calculus.

More information

West Windsor-Plainsboro Regional School District Pre-Calculus Grades 11-12

West Windsor-Plainsboro Regional School District Pre-Calculus Grades 11-12 West Windsor-Plainsboro Regional School District Pre-Calculus Grades 11-12 Unit 1: Solving Equations and Inequalities Algebraically and Graphically Content Area: Mathematics Course & Grade Level: Pre Calculus,

More information

Muskogee Public Schools Curriculum Map

Muskogee Public Schools Curriculum Map Muskogee Public Schools Curriculum Map 2009-20010 Course: Algebra II Grade Level: 9-12 Nine- 1 st Nine Standard 1: Number Systems and Algebraic Operations - The student will perform operations with rational,

More information

NYS Algebra Regents Curriculum Map

NYS Algebra Regents Curriculum Map NYS Algebra Regents Curriculum Map Section 1: Introduction to the Real Number Set (8 days instruction, 1 1/2 day assessment) Explore the real number set and its subsets. Develop rules for operations with

More information

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10 Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real

More information

NFC ACADEMY COURSE OVERVIEW

NFC ACADEMY COURSE OVERVIEW NFC ACADEMY COURSE OVERVIEW Algebra II Honors is a full-year, high school math course intended for the student who has successfully completed the prerequisite course Algebra I. This course focuses on algebraic

More information

College Algebra with Trigonometry

College Algebra with Trigonometry College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional

More information

Salisbury Township School District Planned Course of Study Honors Pre Calculus Salisbury Inspire, Think, Learn, Grow Together!

Salisbury Township School District Planned Course of Study Honors Pre Calculus Salisbury Inspire, Think, Learn, Grow Together! Topic/Unit: Linear Functions Big Ideas/Enduring Understandings: Patterns can be represented numerically, graphically, symbolically, and verbally and provide insights into potential relationships. A linear

More information

Common Core Edition Table of Contents

Common Core Edition Table of Contents Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4

More information

Unit 1. Revisiting Parent Functions and Graphing

Unit 1. Revisiting Parent Functions and Graphing Unit 1 Revisiting Parent Functions and Graphing Precalculus Analysis Pacing Guide First Nine Weeks Understand how the algebraic properties of an equation transform the geometric properties of its graph.

More information

MILLIS PUBLIC SCHOOLS

MILLIS PUBLIC SCHOOLS MILLIS PUBLIC SCHOOLS Curriculum Guide High School Math The Millis Public Schools Curriculum Guide highlights the Power Standards for each grade level, Grade 9 through Grade 12 for the Math department.

More information

Math Review for AP Calculus

Math Review for AP Calculus Math Review for AP Calculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

Math Prep for Statics

Math Prep for Statics Math Prep for Statics This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

Evaluate algebraic expressions for given values of the variables.

Evaluate algebraic expressions for given values of the variables. Algebra I Unit Lesson Title Lesson Objectives 1 FOUNDATIONS OF ALGEBRA Variables and Expressions Exponents and Order of Operations Identify a variable expression and its components: variable, coefficient,

More information

Instructional Units Plan Algebra II

Instructional Units Plan Algebra II Instructional Units Plan Algebra II This set of plans presents the topics and selected for ACT s rigorous Algebra II course. The topics and standards are arranged in ten units by suggested instructional

More information

Algebra 1 3 rd Trimester Expectations Chapter (McGraw-Hill Algebra 1) Chapter 9: Quadratic Functions and Equations. Key Vocabulary Suggested Pacing

Algebra 1 3 rd Trimester Expectations Chapter (McGraw-Hill Algebra 1) Chapter 9: Quadratic Functions and Equations. Key Vocabulary Suggested Pacing Algebra 1 3 rd Trimester Expectations Chapter (McGraw-Hill Algebra 1) Chapter 9: Quadratic Functions and Equations Lesson 9-1: Graphing Quadratic Functions Lesson 9-2: Solving Quadratic Equations by Graphing

More information

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~

Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Ohio Department of Education Academic Content Standards Mathematics Detailed Checklist ~Grade 9~ Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding

More information

Algebra 1 Khan Academy Video Correlations By SpringBoard Activity and Learning Target

Algebra 1 Khan Academy Video Correlations By SpringBoard Activity and Learning Target Algebra 1 Khan Academy Video Correlations By SpringBoard Activity and Learning Target SB Activity Activity 1 Investigating Patterns 1-1 Learning Targets: Identify patterns in data. Use tables, graphs,

More information

Math Curriculum Map: Integrated Algebra II Unit: 1 Quarter: Time Frame: Review of Algebra 13 days Essential Questions: Key Concepts: Key Vocabulary:

Math Curriculum Map: Integrated Algebra II Unit: 1 Quarter: Time Frame: Review of Algebra 13 days Essential Questions: Key Concepts: Key Vocabulary: Math Curriculum Map: Integrated Algebra II Unit: 1 Quarter: Time Frame: Review of Algebra 1 13 days Essential Questions: How does the order of operations help solve one- and two- step equations? How is

More information

WESTMORELAND COUNTY PUBLIC SCHOOLS Integrated Instructional Pacing Guide and Checklist Algebra II

WESTMORELAND COUNTY PUBLIC SCHOOLS Integrated Instructional Pacing Guide and Checklist Algebra II WESTMORELAND COUNTY PUBLIC SCHOOLS 201 2014 Integrated Instructional Pacing Guide and Checklist Algebra II (s) ESS Vocabulary AII.4 Absolute Value Equations and Inequalities Absolute Value Equations and

More information

MATHEMATICS Trigonometry. Mathematics 30-1 Mathematics (10 12) /21 Alberta Education, Alberta, Canada (2008)

MATHEMATICS Trigonometry. Mathematics 30-1 Mathematics (10 12) /21 Alberta Education, Alberta, Canada (2008) MATHEMATICS 30-1 [C] Communication Trigonometry Develop trigonometric reasoning. 1. Demonstrate an understanding of angles in standard position, expressed in degrees and radians. [CN, ME, R, V] 2. Develop

More information

CVHS MATH DEPARTMENT. (All( Assessments Used) Content (What needs to be taught?) (Daily/Weekly/Benchmarks) A-SSE 3A

CVHS MATH DEPARTMENT. (All( Assessments Used) Content (What needs to be taught?) (Daily/Weekly/Benchmarks) A-SSE 3A COURSE: ALGEBRA II / TRIGONOMETRY CURRICULUM A-SSE 3A Factoring Review - A-AAR 7, 8 Rational Expressions A-REI 2 Operations w/rational expressions Rational N-RN 4 equations w/rational roots Complex N-CN

More information

PreCalculus. Curriculum (447 topics additional topics)

PreCalculus. Curriculum (447 topics additional topics) PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

T a b l e o f C o n t e n t s

T a b l e o f C o n t e n t s T a b l e o f C o n t e n t s C O M P E T E N C Y 1 KNOWLEDGE OF ALGEBRA... 1 SKILL 1.1: Apply the properties of real numbers: closure, commutative, associative, distributive, transitive, identities, and

More information

Introductory Mathematics

Introductory Mathematics Introductory Mathematics 1998 2003 1.01 Identify subsets of the real number system. 1.02 Estimate and compute with rational Grade 7: 1.02 numbers. 1.03 Compare, order, and convert among Grade 6: 1.03 fractions,

More information

List of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015)

List of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015) List of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015) MAT 155P MAT 155 1 Absolute Value Equations P 7 P 3 2 Absolute Value Inequalities P 9 P 4 3 Algebraic Expressions:

More information

Prentice Hall Geometry (c) 2007 correlated to American Diploma Project, High School Math Benchmarks

Prentice Hall Geometry (c) 2007 correlated to American Diploma Project, High School Math Benchmarks I1.1. Add, subtract, multiply and divide integers, fractions and decimals. I1.2. Calculate and apply ratios, proportions, rates and percentages to solve problems. I1.3. Use the correct order of operations

More information

Mathematics 6 12 Section 26

Mathematics 6 12 Section 26 Mathematics 6 12 Section 26 1 Knowledge of algebra 1. Identify graphs of linear inequalities on a number line. 2. Identify graphs of linear equations and inequalities in the coordinate plane. 3. Identify

More information

Curriculum Catalog

Curriculum Catalog 2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents PRE-CALCULUS COURSE OVERVIEW...1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT

More information

CURRICULUM PACING GUIDE ALG. II WITH TRIG (GRADES 10-12) 1st Nine Weeks 1

CURRICULUM PACING GUIDE ALG. II WITH TRIG (GRADES 10-12) 1st Nine Weeks 1 b. Use a variety of strategies to set up and solve increasingly complex problems c. Represent data, real-world situations and solutions in increasingly complex contexts (e.g., expressions, formulas, tables,

More information

Algebra 2 with Trigonometry

Algebra 2 with Trigonometry Algebra 2 with Trigonometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize

More information

The Research- Driven Solution to Raise the Quality of High School Core Courses. Algebra I I. Instructional Units Plan

The Research- Driven Solution to Raise the Quality of High School Core Courses. Algebra I I. Instructional Units Plan The Research- Driven Solution to Raise the Quality of High School Core Courses Algebra I I Instructional Units Plan Instructional Units Plan Algebra II This set of plans presents the topics and selected

More information

ROSLYN PUBLIC SCHOOLS INTEGRATED ALGEBRA CURRICULUM. Day(s) Topic Textbook Workbook Additional Worksheets

ROSLYN PUBLIC SCHOOLS INTEGRATED ALGEBRA CURRICULUM. Day(s) Topic Textbook Workbook Additional Worksheets I. Review 1 and 2 Review p3-19 1. Screening Test 2. Review sheet II. Real Numbers A.N.1 Identify and apply the properties of real numbers (closure, commutative, associative, distributive, identity, inverse)

More information

MyMathLab for School Precalculus Graphical, Numerical, Algebraic Common Core Edition 2016

MyMathLab for School Precalculus Graphical, Numerical, Algebraic Common Core Edition 2016 A Correlation of MyMathLab for School Precalculus Common Core Edition 2016 to the Tennessee Mathematics Standards Approved July 30, 2010 Bid Category 13-090-10 , Standard 1 Mathematical Processes Course

More information

Ron Paul Curriculum Mathematics 8 Lesson List

Ron Paul Curriculum Mathematics 8 Lesson List Ron Paul Curriculum Mathematics 8 Lesson List 1 Introduction 2 Algebraic Addition 3 Algebraic Subtraction 4 Algebraic Multiplication 5 Week 1 Review 6 Algebraic Division 7 Powers and Exponents 8 Order

More information

Pre-Calculus and Trigonometry Capacity Matrix

Pre-Calculus and Trigonometry Capacity Matrix Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational expressions Solve polynomial equations and equations involving rational expressions Review Chapter 1 and their

More information

Algebra 2 Advanced (Master)

Algebra 2 Advanced (Master) St. Michael Albertville High School Teacher: Kim Benson Algebra 2 Advanced (Master) August 2015 CEQs: WHAT RELATIONSHIP S EXIST BETWEEN VARIOUS FUNCTIONS, THEIR GRAPHS, AND THEIR SOLUTION(S)? HOW DO WE

More information

nonadjacent angles that lie on opposite sides of the transversal and between the other two lines.

nonadjacent angles that lie on opposite sides of the transversal and between the other two lines. WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):

More information

Course Number 420 Title Algebra I Honors Grade 9 # of Days 60

Course Number 420 Title Algebra I Honors Grade 9 # of Days 60 Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number

More information

ALGEBRA I CURRICULUM OUTLINE

ALGEBRA I CURRICULUM OUTLINE ALGEBRA I CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines

More information

Bemidji Area Schools Outcomes in Mathematics Analysis 1. Based on Minnesota Academic Standards in Mathematics (2007) Page 1 of 5

Bemidji Area Schools Outcomes in Mathematics Analysis 1. Based on Minnesota Academic Standards in Mathematics (2007) Page 1 of 5 Understand the concept of function, and identify important features of functions and other relations using symbolic and graphical methods where appropriate. 9..1.1 9..1. 9..1.3 9..1.4 9..1.5 9..1.6 9..1.7

More information

THEIR GRAPHS, AND THEIR

THEIR GRAPHS, AND THEIR St. Michael Albertville High School Teacher: Kim Benson Algebra 2 (Master) August 2015 CEQs: WHAT RELATIONSHIP S EXIST BETWEEN VARIOUS FUNCTIONS, THEIR GRAPHS, AND THEIR SOLUTION(S)? HOW DO WE SIMPLIFY

More information

CARLISLE AREA SCHOOL DISTRICT Carlisle, PA HONORS ALGEBRA II GRADES Date of Board Approval: April 17, 2014

CARLISLE AREA SCHOOL DISTRICT Carlisle, PA HONORS ALGEBRA II GRADES Date of Board Approval: April 17, 2014 CARLISLE AREA SCHOOL DISTRICT Carlisle, PA 17013 HONORS ALGEBRA II GRADES 8-12 Date of Board Approval: April 17, 2014 CARLISLE AREA SCHOOL DISTRICT PLANNED INSTRUCTION COVER PAGE TITLE OF COURSE: Honors

More information

Algebra II Standards of Learning Curriculum Guide

Algebra II Standards of Learning Curriculum Guide Expressions Operations AII.1 identify field properties, axioms of equality inequality, properties of order that are valid for the set of real numbers its subsets, complex numbers, matrices. be able to:

More information

TEACHER CERTIFICATION EXAM 1.0 KNOWLEDGE OF ALGEBRA Identify graphs of linear inequalities on a number line...1

TEACHER CERTIFICATION EXAM 1.0 KNOWLEDGE OF ALGEBRA Identify graphs of linear inequalities on a number line...1 TABLE OF CONTENTS COMPETENCY/SKILL PG # 1.0 KNOWLEDGE OF ALGEBRA...1 1.1. Identify graphs of linear inequalities on a number line...1 1.2. Identify graphs of linear equations and inequalities in the coordinate

More information

Integrated Math 3 Math 3 Course Description:

Integrated Math 3 Math 3 Course Description: Course Description: Integrated Math 3 Math 3 Course Description: Integrated strands include algebra, functions, geometry, trigonometry, statistics, probability and discrete math. Scope and sequence includes

More information

Seymour Public Schools Curriculum

Seymour Public Schools Curriculum The Mathematics Department believes its students must learn the importance of mathematics, the integration of different branches of mathematics, the application of math to real-life problems, and the connections

More information

Prentice Hall Mathematics, Algebra Correlated to: Achieve American Diploma Project Algebra II End-of-Course Exam Content Standards

Prentice Hall Mathematics, Algebra Correlated to: Achieve American Diploma Project Algebra II End-of-Course Exam Content Standards Core: Operations on Numbers and Expressions Priority: 15% Successful students will be able to perform operations with rational, real, and complex numbers, using both numeric and algebraic expressions,

More information

Chapter 1 The Real Number System. Chapter 2 Exponents and Radicals. iii

Chapter 1 The Real Number System. Chapter 2 Exponents and Radicals. iii Table of Contents Introduction... xiii Facts & Strategies for Passing the New York Algebra 2 and Trigonometry Exam... xiv Diagnostic Tests... xxxvi Chapter 1 The Real Number System 1.1 Properties of Real

More information

Trigonometry and Analysis Mathematics

Trigonometry and Analysis Mathematics Scope And Sequence Timeframe Unit Instructional Topics 6 Week(s) 3 Week(s) 5 Week(s) 4 Week(s) 5 Week(s) Equations, Inequalties, Functions 1. Basic Equations (1.1) 2. Modeling with Equations (1.2) 3. Quadratic

More information

hmhco.com Adaptive. Intuitive. Transformative. AGA Scope and Sequence

hmhco.com Adaptive. Intuitive. Transformative. AGA Scope and Sequence hmhco.com Adaptive. Intuitive. Transformative. AGA Algebra 1 Geometry Algebra 2 Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational exponents Properties

More information

Integrated Mathematics I, II, III 2016 Scope and Sequence

Integrated Mathematics I, II, III 2016 Scope and Sequence Mathematics I, II, III 2016 Scope and Sequence I Big Ideas Math 2016 Mathematics I, II, and III Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational

More information

College Algebra & Trig w Apps

College Algebra & Trig w Apps WTCS Repository 10-804-197 College Algebra & Trig w Apps Course Outcome Summary Course Information Description Total Credits 5.00 This course covers those skills needed for success in Calculus and many

More information