ALGEBRA AND TRIGONOMETRY

Size: px
Start display at page:

Download "ALGEBRA AND TRIGONOMETRY"

Transcription

1 ALGEBRA AND TRIGONOMETRY correlated to the Alabama Course of Study for Algebra 2 with Trigonometry CC2 6/

2 Algebra and Trigonometry 2004 correlated to the Number and Operations Students will: 1. Determine the relationships of subsets of complex numbers. Example: using Venn diagrams or tree diagrams to show how subsets of complex numbers are related PE/IAE: Student Success Organizer, Section Simplify expressions involving complex numbers, using order of operations and including conjugate and absolute value. Examples: simplifying v-8, (4-2i) 2, and (3+i) / (3-i) PE/IAE: IAE Only: P.1 P Student Success Organizer, Sections P.1 P

3 Algebra 3. Analyze families of functions, including shifts, reflections, and dilations of y = x/k (inverse variation), y = kx (direct variation/linear), y = [x] (greatest integer), y = x 2 (quadratic), y = ax (exponential), and y = logax (logarithmic). Example: comparing the graphs of y = 2 x, y = 2 x + 1, y = 2 x + 1, and y = -2 x PE/IAE: Student Success Organizer, Sections Identifying the domain and range of a relation given its graph, a table of values, or its equation, including those with restricted domains Example: finding the domain of y = 1/ (x - 3) or y = vx - 2 PE/IAE: IAE Only: Student Success Organizer, Sections

4 Identifying real-world situations corresponding to families of functions PE/IAE: Student Success Organizer, Sections Determine approximate real zeros of functions graphically and numerically and exact real zeros of polynomial functions. PE/IAE: Student Success Organizer, Sections Using the zero product property, completing the square, and the quadratic formula PE/IAE: IAE Only: P Student Success Organizer, Sections P

5 Deriving the quadratic formula PE/IAE: Identify the characteristics of quadratic functions from their roots, graphs, or equations. PE/IAE: Student Success Organizer, Sections Generating an equation when given its roots or graph PE/IAE: Graphing a function when given its equation Examples: graphing equations of the form y = a(x-h) 2 + k; graphing equations of the form y = ax 2 + bx + c PE/IAE: Student Success Organizer, Sections

6 Determining the maximum or minimum values of quadratic functions both graphically and algebraically PE/IAE: Student Success Organizer, Sections Applying functions to real-world problems PE/IAE: Student Success Organizer, Sections Perform operations on functions, including addition, subtraction, multiplication, division, and composition. PE/IAE: IAE Only: Student Success Organizer, Section 2.6 5

7 Determining the inverse of a function or a relation PE/IAE: Student Success Organizer, Section 2.7 Performing operations on polynomial and rational expressions containing variables Example: simplifying 3 / (x + 5) + 5 / (x 2 + 6x + 5) PE/IAE: P.2 P.3 P.5 P.6 Student Success Organizer, Sections P.2 P.3 P.5 P.6 Constructing graphs by analyzing their functions as sums, differences, or products PE/IAE:

8 7. Solve equations, inequalities, and applied problems involving absolute values, radicals, and quadratics over the complex numbers, as well as simple trigonometric, exponential, and logarithmic functions. Example: solving x 2-8x > -12, 3 x = 81, 2 sin 2 x + sin x = 0, or log x 2 = 5 PE/IAE: Student Success Organizer, Sections Solving equations using laws of exponents, including rational and irrational exponents PE/IAE: Expressing the solution of an equation, inequality, or applied problem as a graph on a number line or by using set or interval notation PE/IAE: IAE Only: P Student Success Organizer, Sections P

9 8. Solve systems of linear equations or inequalities in two or three variables using algebraic techniques, including those involving matrices. Example: solving a system of linear equations using augmented matrices and row operations, matrix operations of a graphing calculator, or substitution PE/IAE: Student Success Organizer, Sections 9.1, 9.2, 9.3, 10.1, 10.5; Chapter 10 Project: Solving Systems of Equations Evaluating the determinant of a 2x2 or 3x3 matrix PE/IAE: IAE Only: Student Success Organizer, Section 10.4 Solving word problems involving real-life situations PE/IAE:

10 9. Graph trigonometric functions of the form y=a sin(bx), y=a cos(bx), and y=a tan(bx). PE/IAE: Determining period and amplitude of sine, cosine, and tangent functions from graphs or basic equations Example: solving problems involving harmonic motion PE/IAE: IAE Only: Determining specific unit circle coordinates associated with special angles PE/IAE: Geometry 10. Solve general triangles, mathematical problems, and real-world applications using the Law of Sines and the Law of Cosines. PE/IAE: Student Success Organizer, Sections

11 Deriving formulas for Law of Sines and Law of Cosines PE/IAE: Determining area of oblique triangles PE/IAE: Student Success Organizer, Sections Define the six trigonometric functions using ratios of the sides of a right triangle, coordinates on the unit circle, and the reciprocal of other functions. PE/IAE: Verify simple trigonometric identities using Pythagorean and/or reciprocal identities. Example: verifying cos 2 a + tan 2 a cos 2 a = 1 PE/IAE: Student Success Organizer, Section

12 Data Analysis and Probability 13. Use different forms of representation to compare characteristics of data gathered from two populations. PE/IAE: Evaluating the appropriateness of the design of an experimental study This standard is taught in a statistics course. Describing how sample statistics reflect values of population parameters This standard is taught in a statistics course. 14. Determine an equation of linear regression from a set of data. PE/IAE: Appendix A.3; Chapter 9 Project: Fitting Models to Data Examining data to determine if a linear, quadratic, or exponential relationship exists and to predict outcomes PE/IAE: Calculate probabilities of events using the laws of probability. PE/IAE: Student Success Organizer, Section

13 Using permutations and combinations to calculate probabilities PE/IAE: IAE Only: Student Success Organizer, Section 11.6 Calculating conditional probability PE/IAE: , Calculating probabilities of mutually exclusive events, independent events, and dependent events PE/IAE: Student Success Organizer, Section

2003/2010 ACOS MATHEMATICS CONTENT CORRELATION ALGEBRA II WITH TRIGONOMETRY 2003 ACOS 2010 ACOS

2003/2010 ACOS MATHEMATICS CONTENT CORRELATION ALGEBRA II WITH TRIGONOMETRY 2003 ACOS 2010 ACOS 2003/2010 ACOS MATHEMATICS CONTENT CORRELATION ALGEBRA II WITH TRIGONOMETRY AIIT.1 AIIT.2 CURRENT ALABAMA CONTENT PLACEMENT Determine the relationships among the subsets of complex numbers. Simplify expressions

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

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

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

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

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

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

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

Pre-calculus 12 Curriculum Outcomes Framework (110 hours)

Pre-calculus 12 Curriculum Outcomes Framework (110 hours) Curriculum Outcomes Framework (110 hours) Trigonometry (T) (35 40 hours) General Curriculum Outcome: Students will be expected to develop trigonometric reasoning. T01 Students will be expected to T01.01

More information

Quantile Textbook Report

Quantile Textbook Report Quantile Textbook Report Algebra 2 Author Charles, Randall I., et al StateEdition West Virginia Grade Algebra 2 1 Expressions, Equations, and Inequalities 1.1 Patterns and Expressions 930Q 1.2 Properties

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

Pre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.2 Solving Quadratic Equations

Pre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.2 Solving Quadratic Equations Pre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.1.1 Solve Simple Equations Involving Absolute Value 0.2 Solving Quadratic Equations 0.2.1 Use the

More information

Algebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions

Algebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions Algebra 2 Chapter 1 Foundations for Chapter 2 Quadratic Chapter 3 Polynomial Chapter 4 Exponential and Logarithmic Chapter 5 Rational and Radical Chapter 6 Properties and Attributes of Chapter 7 Probability

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

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

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 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

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

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 Catalog

Curriculum Catalog 2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA II COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND PROBLEMS... 2 UNIT 3: LINEAR

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

Prentice Hall Algebra Correlated to: South Dakota Mathematics Standards, (Grades 9-12)

Prentice Hall Algebra Correlated to: South Dakota Mathematics Standards, (Grades 9-12) High School Algebra Indicator 1: Use procedures to transform algebraic expressions. 9-12.A.1.1. (Comprehension)Write equivalent forms of algebraic expressions using properties of the set of real numbers.

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

Dinwiddie County Subject: Trigonometry Scope and Sequence

Dinwiddie County Subject: Trigonometry Scope and Sequence Dinwiddie County Subject: Trigonometry Scope and Sequence GRADE: High School 9 WKS Topics Equations (linear, quadratic, and absolute value) and Radicals (simplest radical form, including rationalizing

More information

Course Catalog. Pre-calculus Glynlyon, Inc.

Course Catalog. Pre-calculus Glynlyon, Inc. Course Catalog Pre-calculus 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT 4: CIRCULAR

More information

Mathematics skills framework

Mathematics skills framework Mathematics skills framework The framework for MYP mathematics outlines four branches of mathematical study. Schools can use the framework for mathematics as a tool for curriculum mapping when designing

More information

correlated to the Washington D.C. Public Schools Learning Standards Algebra II

correlated to the Washington D.C. Public Schools Learning Standards Algebra II correlated to the Washington D.C. Public Schools Learning Standards Algebra II McDougal Littell Algebra 2 2007 correlated to the Washington DC Public Schools Learning Standards Algebra II NUMBER SENSE

More information

Course Outcome Summary

Course Outcome Summary Course Information: Algebra 2 Description: Instruction Level: 10-12 Total Credits: 2.0 Prerequisites: Textbooks: Course Topics for this course include a review of Algebra 1 topics, solving equations, solving

More information

College Algebra and Trigonometry

College Algebra and Trigonometry GLOBAL EDITION College Algebra and Trigonometry THIRD EDITION J. S. Ratti Marcus McWaters College Algebra and Trigonometry, Global Edition Table of Contents Cover Title Page Contents Preface Resources

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

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

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

Foundations of Mathematics 11. solve problems that involve the application of rates

Foundations of Mathematics 11. solve problems that involve the application of rates Measurement using SI and imperial units, solve problems that involve linear measurement apply proportional reasoning to problems that involve conversions between SI and imperial units of measure solve

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

Class Syllabus. Accessible Topic - Topics accessible to visually impaired students using a screen reader.

Class Syllabus. Accessible Topic - Topics accessible to visually impaired students using a screen reader. Class Syllabus Class: MATH 1112 Spring 2019 Pilot - MWF 9:05 to 9:55 am Subject : College Algebra with Trigonometry Class Code: WQJQT-3GQW4 Inst ruct or: Ritter Class Dat es: 01/04/2019-05/10/2019 Class

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

ax 2 + bx + c = 0 where

ax 2 + bx + c = 0 where Chapter P Prerequisites Section P.1 Real Numbers Real numbers The set of numbers formed by joining the set of rational numbers and the set of irrational numbers. Real number line A line used to graphically

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

Algebra III INSTRUCTIONAL PACING GUIDE (Days Based on 90 minutes)

Algebra III INSTRUCTIONAL PACING GUIDE (Days Based on 90 minutes) EA, IA, PC-1. Connect algebra and trigonometry with other branches of mathematics. EA, IA, PC-1.7 G-1. G-1.8 G-1.9 Understand how to represent algebraic and trigonometric relationships by using tools such

More information

Grade 8 Math Curriculum Map Erin Murphy

Grade 8 Math Curriculum Map Erin Murphy Topic 1 Variables and Expressions 2 Weeks Summative Topic Test: Students will be able to (SWBAT) use symbols o represent quantities that are unknown or that vary; demonstrate mathematical phrases and real-world

More information

Precalculus Table of Contents Unit 1 : Algebra Review Lesson 1: (For worksheet #1) Factoring Review Factoring Using the Distributive Laws Factoring

Precalculus Table of Contents Unit 1 : Algebra Review Lesson 1: (For worksheet #1) Factoring Review Factoring Using the Distributive Laws Factoring Unit 1 : Algebra Review Factoring Review Factoring Using the Distributive Laws Factoring Trinomials Factoring the Difference of Two Squares Factoring Perfect Square Trinomials Factoring the Sum and Difference

More information

increasing interval inequality interquartile range input interval irrational number

increasing interval inequality interquartile range input interval irrational number absolute value function average rate of change axis of symmetry axis scale binomial(s) closed half-plane coefficients completing the square coordinate plane/grid cosine cube root cubic units decreasing

More information

Prentice Hall Geometry 2011 Correlated to: Illinois Math Assessment Frameworks (Grade 11)

Prentice Hall Geometry 2011 Correlated to: Illinois Math Assessment Frameworks (Grade 11) Mathematics State Goal 6: Number Sense Grade 11 Standard 6A Representations and Ordering 6.11.01 Recognize, represent, order, compare real numbers, and locate real numbers on a number line (e.g., π, Ö

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

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

ALGEBRA (SMR Domain 1) Algebraic Structures (SMR 1.1)...1

ALGEBRA (SMR Domain 1) Algebraic Structures (SMR 1.1)...1 TABLE OF CONTENTS Page Numbers ALGEBRA (SMR Domain 1)...1 0001 Algebraic Structures (SMR 1.1)...1 Apply basic properties of real and complex numbers in constructing mathematical arguments (e.g., if a

More information

CUMBERLAND COUNTY SCHOOL DISTRICT BENCHMARK ASSESSMENT CURRICULUM PACING GUIDE

CUMBERLAND COUNTY SCHOOL DISTRICT BENCHMARK ASSESSMENT CURRICULUM PACING GUIDE CUMBERLAND COUNTY SCHOOL DISTRICT BENCHMARK ASSESSMENT CURRICULUM PACING GUIDE School: CCHS Subject: Algebra II Grade: 10 th Grade Benchmark Assessment 1 Instructional Timeline: 1 st Nine Weeks Topic(s):

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

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

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

BUILT YOU. ACT Pathway. for

BUILT YOU. ACT Pathway. for BUILT for YOU 2016 2017 Think Through Math s is built to equip students with the skills and conceptual understandings of high school level mathematics necessary for success in college. This pathway progresses

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

TABLE OF CONTENTS POLYNOMIAL EQUATIONS AND INEQUALITIES

TABLE OF CONTENTS POLYNOMIAL EQUATIONS AND INEQUALITIES COMPETENCY 1.0 ALGEBRA TABLE OF CONTENTS SKILL 1.1 1.1a. 1.1b. 1.1c. SKILL 1.2 1.2a. 1.2b. 1.2c. ALGEBRAIC STRUCTURES Know why the real and complex numbers are each a field, and that particular rings are

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

SAMPLE COURSE OUTLINE MATHEMATICS SPECIALIST ATAR YEAR 11

SAMPLE COURSE OUTLINE MATHEMATICS SPECIALIST ATAR YEAR 11 SAMPLE COURSE OUTLINE MATHEMATICS SPECIALIST ATAR YEAR 11 Copyright School Curriculum and Standards Authority, 2017 This document apart from any third party copyright material contained in it may be freely

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

Prentice Hall Algebra Correlated to: Illinois Math Assessment Frameworks (Grade 11)

Prentice Hall Algebra Correlated to: Illinois Math Assessment Frameworks (Grade 11) Mathematics State Goal 6: Number Sense Grade 11 Standard 6A Representations and Ordering 6.11.01 Recognize, represent, order, compare real numbers, and locate real numbers on a number line (e.g., π, Ö

More information

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT P r e c a l c u l u s ( A ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS and Graphs Polynomial, Power,

More information

Portable Assisted Study Sequence ALGEBRA IIB

Portable Assisted Study Sequence ALGEBRA IIB SCOPE This course is divided into two semesters of study (A & B) comprised of five units each. Each unit teaches concepts and strategies recommended for intermediate algebra students. The second half of

More information

ACT Course Standards Algebra II

ACT Course Standards Algebra II ACT Course Standards Algebra II A set of empirically derived course standards is the heart of each QualityCore mathematics course. The ACT Course Standards represent a solid evidence-based foundation in

More information

PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005

PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005 PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO Prepared by Kristina L. Gazdik March 2005 1 TABLE OF CONTENTS Course Description.3 Scope and Sequence 4 Content Outlines UNIT I: FUNCTIONS AND THEIR GRAPHS

More information

PreCalculus. Curriculum (637 topics additional topics)

PreCalculus. Curriculum (637 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

Course Outline and Objectives. MA 1453 Precalculus with Graphing Calculators

Course Outline and Objectives. MA 1453 Precalculus with Graphing Calculators Effective Fall 2011 Course Outline and Objectives MA 1453 Precalculus with Graphing Calculators TEXT: Precalculus, 5 th Edition, by Faires and DeFranza ISBN 978-0-8400-6862-0 NOTE: A graphing calculator

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

SPECIALIST MATHEMATICS

SPECIALIST MATHEMATICS SPECIALIST MATHEMATICS (Year 11 and 12) UNIT A A1: Combinatorics Permutations: problems involving permutations use the multiplication principle and factorial notation permutations and restrictions with

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

Suggested Time Frame (Block) Review 1.1 Functions 1. Text Section. Section Name

Suggested Time Frame (Block) Review 1.1 Functions 1. Text Section. Section Name Date Taught Objective Subsets of real numbers, evaluate functions and state Finding y-intercepts, zeros, & symmetry GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS ANALYTICAL MATHEMATICS Text

More information

Algebra I. CORE TOPICS (Key Concepts & Real World Context) UNIT TITLE

Algebra I. CORE TOPICS (Key Concepts & Real World Context) UNIT TITLE CHAPTER 1 Using variables Exponents and Order of Operations Exploring real numbers Adding real numbers Subtracting real numbers Multiplying and dividing real numbers The Distributive Property Properties

More information

MCPS Algebra 2 and Precalculus Standards, Categories, and Indicators*

MCPS Algebra 2 and Precalculus Standards, Categories, and Indicators* Content Standard 1.0 (HS) Patterns, Algebra and Functions Students will algebraically represent, model, analyze, and solve mathematical and real-world problems involving functional patterns and relationships.

More information

CALCULUS ASSESSMENT REVIEW

CALCULUS ASSESSMENT REVIEW CALCULUS ASSESSMENT REVIEW DEPARTMENT OF MATHEMATICS CHRISTOPHER NEWPORT UNIVERSITY 1. Introduction and Topics The purpose of these notes is to give an idea of what to expect on the Calculus Readiness

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

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

Sophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012

Sophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Sophomore Year: Algebra II Tetbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Course Description: The purpose of this course is to give students a strong foundation

More information

Learning Module 1 - Basic Algebra Review (Appendix A)

Learning Module 1 - Basic Algebra Review (Appendix A) Learning Module 1 - Basic Algebra Review (Appendix A) Element 1 Real Numbers and Operations on Polynomials (A.1, A.2) Use the properties of real numbers and work with subsets of the real numbers Determine

More information

Algebra 2 Standards. Essential Standards:

Algebra 2 Standards. Essential Standards: Benchmark 1: Essential Standards: 1. Alg2.M.F.LE.A.02 (linear): I can create linear functions if provided either a graph, relationship description or input-output tables. - 15 Days 2. Alg2.M.A.APR.B.02a

More information

CME Project, Algebra Correlated to: Illinois Math Assessment Frameworks (Grade 11)

CME Project, Algebra Correlated to: Illinois Math Assessment Frameworks (Grade 11) Mathematics State Goal 6: Number Sense Grade 11 Standard 6A Representations and Ordering 6.11.01 Recognize, represent, order, compare real numbers, and locate real numbers on a number line (e.g., π, Ö

More information

ALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340

ALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340 ALGEBRA & TRIGONOMETRY FOR CALCULUS Course Description: MATH 1340 A combined algebra and trigonometry course for science and engineering students planning to enroll in Calculus I, MATH 1950. Topics include:

More information

Academic Outcomes Mathematics

Academic Outcomes Mathematics Academic Outcomes Mathematics Mathematic Content Standards Overview: TK/ Kindergarten Counting and Cardinality: Know number names and the count sequence. Count to tell the number of objects. Compare numbers.

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

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

OKLAHOMA SUBJECT AREA TESTS (OSAT )

OKLAHOMA SUBJECT AREA TESTS (OSAT ) CERTIFICATION EXAMINATIONS FOR OKLAHOMA EDUCATORS (CEOE ) OKLAHOMA SUBJECT AREA TESTS (OSAT ) FIELD 125: MIDDLE LEVEL/INTERMEDIATE MATHEMATICS September 2016 Subarea Range of Competencies I. Number Properties

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 American School of Marrakesh. AP Calculus AB Summer Preparation Packet

The American School of Marrakesh. AP Calculus AB Summer Preparation Packet The American School of Marrakesh AP Calculus AB Summer Preparation Packet Summer 2016 SKILLS NEEDED FOR CALCULUS I. Algebra: *A. Exponents (operations with integer, fractional, and negative exponents)

More information

Algebra I Unit Report Summary

Algebra I Unit Report Summary Algebra I Unit Report Summary No. Objective Code NCTM Standards Objective Title Real Numbers and Variables Unit - ( Ascend Default unit) 1. A01_01_01 H-A-B.1 Word Phrases As Algebraic Expressions 2. A01_01_02

More information

Missouri Educator Gateway Assessments DRAFT

Missouri Educator Gateway Assessments DRAFT Missouri Educator Gateway Assessments FIELD 023: MATHEMATICS January 2014 DRAFT Content Domain Range of Competencies Approximate Percentage of Test Score I. Numbers and Quantity 0001 0002 14% II. Patterns,

More information

Analytic Trigonometry. Copyright Cengage Learning. All rights reserved.

Analytic Trigonometry. Copyright Cengage Learning. All rights reserved. Analytic Trigonometry Copyright Cengage Learning. All rights reserved. 7.4 Basic Trigonometric Equations Copyright Cengage Learning. All rights reserved. Objectives Basic Trigonometric Equations Solving

More information

Mr. Kelly s Algebra II Syllabus

Mr. Kelly s Algebra II Syllabus Algebra II Syllabus The following is a general description and an outline of the topics covered in a full year of algebra II. The outline is broken into parts A and B to correspond to our trimesters. It

More information

Linear Equations and Inequalities: The Poetry and Prose of Algebra

Linear Equations and Inequalities: The Poetry and Prose of Algebra Standards Curriculum Map Bourbon County Schools Level: BCHS Grade and/or Course: Algebra II Updated: May 15, 2012 e.g. = Example only Days Unit/Topic Standards Activities Learning Targets ( I Days 1-15

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

Objectives List. Important Students should expect test questions that require a synthesis of these objectives.

Objectives List. Important Students should expect test questions that require a synthesis of these objectives. MATH 1040 - of One Variable, Part I Textbook 1: : Algebra and Trigonometry for ET. 4 th edition by Brent, Muller Textbook 2:. Early Transcendentals, 3 rd edition by Briggs, Cochran, Gillett, Schulz s List

More information

Prentice Hall Mathematics, Geometry 2009 Correlated to: Maine Learning Results 2007 Mathematics Grades 9-Diploma

Prentice Hall Mathematics, Geometry 2009 Correlated to: Maine Learning Results 2007 Mathematics Grades 9-Diploma A. NUMBER: Students use numbers in everyday and mathematical contexts to quantify or describe phenomena, develop concepts of operations with different types of numbers, use the structure and properties

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

Pacing Guide for 7-12 Curriculum. Week Chapter & Lesson COS Objectives

Pacing Guide for 7-12 Curriculum. Week Chapter & Lesson COS Objectives Pacing Guide for 7-12 Curriculum Course Title: Algebra II with Trig. Length of Course: 1 st Semester Week Chapter & Lesson COS Objectives Week 1 Welcome and Diagnostic Test Lesson 1 Lesson 2 Lesson 3 (2

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

CURRICULUM GUIDE. Honors Algebra II / Trigonometry

CURRICULUM GUIDE. Honors Algebra II / Trigonometry CURRICULUM GUIDE Honors Algebra II / Trigonometry The Honors course is fast-paced, incorporating the topics of Algebra II/ Trigonometry plus some topics of the pre-calculus course. More emphasis is placed

More information

Algebra I Mathematics

Algebra I Mathematics Scope And Sequence Timeframe Unit Instructional Topics 6 Week(s) 12 Week(s) Relationships between Quantities Linear Relationships Course Overview GENERAL DESCRIPTION: This course is designed to provide

More information

Number Theory and Basic Algebra. (10 days)

Number Theory and Basic Algebra. (10 days) LEARNING GUIDE: Algebra 2 Main Resources: Algebra 2 Glencoe/McGraw Hill Copyright: 2010 Standards: MA 12.1: Number Sense: Students will communicate number sense concepts using multiple representations

More information