AP Prep Algebra II Second Semester

Size: px
Start display at page:

Download "AP Prep Algebra II Second Semester"

Transcription

1 AP Prep Algebra II Second Semester Standards 6.A.3 Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms. 6.A.4 Identify and apply the associative, commutative, distributive and identity properties of real numbers, including special numbers such as pi and square roots. 6.A.5 Perform addition, subtraction and multiplication of complex numbers and graph the results in the complex plane. 6.B.3a Solve practical computation problems involving whole numbers, integers and rational numbers 6.B.5 Identify, represent and apply numbers expressed in exponential, logarithmic and scientific notation using contemporary technology. 6.B.3b Apply primes, factors, divisors, multiples, common factors and common multiples in solving problems. 6.B.3c Identify and apply properties of real numbers including pi, squares, and square roots. 6.C.3a Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions. 6.C.5 Determine the level of accuracy needed for computations involving measurement and irrational numbers. 6.D.3 Apply ratios and proportions to solve practical problems. 6.D.4 Solve problems involving recipes or mixtures, financial calculations and geometric similarity using ratios, proportions and percents. 6.D.5 Solve problems involving loans, mortgages and other practical applications involving geometric patterns of growth. 7.A.4b Apply formulas in a wide variety of theoretical and practical real-world measurement applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values. 8.A.3a Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems. 8.A.4a Use algebraic methods to convert repeating decimals to fractions. 8.A.5 Solve mathematical problems involving recursive patterns and use models that employ such relationships. 8.A.3b Solve problems using linear expressions, equations and inequalities. 8.A.4b Represent mathematical patterns and describe their properties using variables and mathematical symbols. 8.B.3 Use graphing technology and algebraic methods to analyze and predict linear relationships and make generalizations from linear patterns. 8.B.4a Represent algebraic concepts with physical materials, words, diagrams, tables, graphs, equations and inequalities and use appropriate technology. 8.B.5 Use functions including exponential, polynomial, rational, parametric, logarithmic, and trigonometric to describe numerical relationships. 8.B.4b Use the basic functions of absolute value, square root, linear, quadratic and step to describe numerical relationships.

2 8.C.3 Apply the properties of numbers and operations including inverses in algebraic settings derived from economics, business and the sciences. 8.C.4a Analyze and report the effects of changing coefficients, exponents and other parameters on functions and their graphs. 8.C.5 Use polynomial, exponential, logarithmic and trigonometric functions to model situations. 8.D.3a Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities. 8.C.4b Apply algebraic properties and procedures with matrices, vectors, functions and sequences using data found in business, industry and consumer situations. 8.D.3a Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities. 8.D.4 Formulate and solve linear and quadratic equations and linear inequalities algebraically and investigate nonlinear inequalities using graphs, tables, calculators and computers. 8.D.5 Formulate and solve nonlinear equations and systems including problems involving inverse variation and exponential and logarithmic growth and decay. 8.D.3b Propose and solve problems using proportions, formulas and linear functions. 8.D.3c Apply properties of powers, perfect squares and square roots. Essential Questions What does it mean to raise an expression to a negative exponent? a zero exponent? Why does one use scientific notation? what is the difference between an equation with fractional coefficients and a fractional equation? What makes a fraction complex? How can rational algebra be used to solve shared work or mixture problems? What is the nth root? What is an imaginary Number? What are the properties of the imaginary unit i? What makes a number complex? What makes something a quadratic equation? What are the ways to solve a quadratic equation? How do you create the quadratic formula from a quadratic equation? How do you graph a quadratic equation? How do you apply the distance formula and the midpoint formula? How you you use the pythagorean theorem to find the distance formula?

3 How do you use the distance formula to find the equation of a circle? Chapter 10: How do you cancel out an exponent that is a variable? How can you find an unknown exponent if you know the base and the answer? What is a log? How do you use logs? What is e? how can logs and exponential expressions be used in the business world? What is the difference between a sequence and a series? How do you find the nth term of an arithmetic sequence? a geometriuc sequence? How is sigma notation used? How does our work with permutations and combinations apply to the binomial expansion? What does it mean to vary directly vs. jointly or inversely? How is long division related to dividing polynomials? How is synthetic division used to shortcut the method of dividing polynomials? Content Rational Expressions Irrational and Complex Numbers Quadratic Equations and Functions Distance Formula, Midpoint formula, Circles. Chapter 10: Exponential and Logarithmic functions. Sequences and Series Polynomial expansion Direct, inverse, and joint variation. dividing polynomial equations.

4 Skills 1. Simplify quotients using the laws of exponents. 2. Simplify expressions involving the exponent zero and negative integral exponents. 3. Use scientific notation. 4. Simplify rational algebraic expressions. 5. Multiply and divide rational expressions. 6. add and subtract rational expressions. 7. simplify complex fractions. 8. solve equations and inequalities having fractional coefficients. 9. solve and use fractional equations. 10. apply knowledge of rational expressions to solve mixture and shards work problems. 1. Define and work with roots (square, cube, nth) 2. Discuss and work with properties of radicals 3. Work with product and quotient properties of radicals 4. Solve problems including the sums of radicals 5. Work with binomials containing radicals 6. Define and discuss conjugates 7. Solve equations with radicals 8. Define rational and irrational numbers 9. Identify rational and irrational numbers based on properties of numbers 10. Define and discuss the imaginary unit i 11. Define and discuss the complex number system 12. Define complex conjugates 1. Work with completing the sqaure 2. Discuss, derive, and use the quadratic formula 3. Define and discuss the Discriminant and its use in determining the nature of the roots of a quadratic equation 4. Discuss equations in quadratic form 5. Solve quadratic equations using substitution 6. Graph basic quadratic equations using vertex, stretch, and points 7. Put equations in quadratic form by algebraic manipulation and completing the square 8. Discuss minimum and maximum values of a quadratic function 1. Find the distance between any two points and the midpoint of the line segment joining them. 2. learn the relationship between the center and radius of a circle and the equation of a circle.

5 Chapter 10: 1. Extend the understanding of exponents to include rational numbers. 2. Find the composite of two given funcations. 3. find the inverse of a given functions. 4. define a logarithmic function and learn how they are related to exponential functions. 5. apply the basic properties of logarithms. 6. use common logs to solve equations involving powers and evaluate logarithms with any given base. 7. use exponential and logarithmic functions to solve growth and decay problems. 8. define and use the natural logarithm function. 1. determine whether a sequence is arithmetic, geometric, or neither and to supply missing terms of a sequence. 2. find a formula for the nth term of an arithmetic sequence. 3. find a specific term of arithmetic sequences. 4. find a formula for the nth perm of a geometric sequence. 5. find specified terms of geometric sequences. 6. identify series and use sigma notation. 7. find sums of finite arithmetic and geometric series. 8. find sums of infinite goemetric series having ratios with absolute values less than one. 9. expand powers of binomials. 10. use prior knowledge of combinatorics to develop pascal's triangle. 11. derive the binomial theorem. 12. Use the binomial theorem to find a particular term of a binomial expansion. 1. Solve problems involving direct variation. 2. Solve problems involving inverse and joint variation. 3. Divide one polynomial by another polynomial. 4. use synthetic division to divide a polynomial by a first degree binomial. Assessment Homework Quizzes Tests Think, Pair, Share Formal and informal discussions with class

Common Curriculum Map. Discipline: Math Course: Algebra 2

Common Curriculum Map. Discipline: Math Course: Algebra 2 Common Curriculum Map Discipline: Math Course: Algebra 2 Semester One: Standards: 6.A.3 - Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms. 6.A.4 - Identify

More information

Common Curriculum Map. Discipline: Math Course: College Algebra

Common Curriculum Map. Discipline: Math Course: College Algebra Common Curriculum Map Discipline: Math Course: College Algebra August/September: 6A.5 Perform additions, subtraction and multiplication of complex numbers and graph the results in the complex plane 8a.4a

More information

Prep for College Algebra

Prep for College Algebra Prep for College Algebra 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

pp. 4 8: Examples 1 6 Quick Check 1 6 Exercises 1, 2, 20, 42, 43, 64

pp. 4 8: Examples 1 6 Quick Check 1 6 Exercises 1, 2, 20, 42, 43, 64 Semester 1 Text: Chapter 1: Tools of Algebra Lesson 1-1: Properties of Real Numbers Day 1 Part 1: Graphing and Ordering Real Numbers Part 1: Graphing and Ordering Real Numbers Lesson 1-2: Algebraic Expressions

More information

Assignment List. Lesson Assignment Choice Total 1.1 Apply Properties of Real Numbers 6 #3-21 odd, odd, 33, 35, odd, 49, 53, 59, 3 25

Assignment List. Lesson Assignment Choice Total 1.1 Apply Properties of Real Numbers 6 #3-21 odd, odd, 33, 35, odd, 49, 53, 59, 3 25 Algebra II Assignment List Chapter 1 Equations and Inequalities 1.1 Apply Properties of Real Numbers 6 #3-21 odd, 25-29 odd, 33, 35, 41-45 odd, 49, 53, 59, 3 25 61 1.2 Evaluate and Simplify Algebraic 13

More information

Algebra 2 Course Title

Algebra 2 Course Title Algebra 2 Course Title Course- wide Essential Questions 1. How do we model information? How do we use models? 2. What are functions? How do we use them? 3. What are inverses? How do we use them? 4. How

More information

SCHOOL BOARD OF BROWARD COUNTY, FLORIDA Transitional Curriculum Guide For: ALGEBRA 2 HONORS (Year-long) Textbook: McDOUGAL LITTELL ALGEBRA 2

SCHOOL BOARD OF BROWARD COUNTY, FLORIDA Transitional Curriculum Guide For: ALGEBRA 2 HONORS (Year-long) Textbook: McDOUGAL LITTELL ALGEBRA 2 MA.912.A.3.2 Identify and apply the MA.A.1.4.2: Understands the relative size of distributive, associative, and integers, rational numbers, irrational numbers, commutative properties of real numbers and

More information

Prep for Calculus. Curriculum (281 topics additional topics)

Prep for Calculus. Curriculum (281 topics additional topics) Prep for Calculus This course covers the topics outlined below, new topics have been highlighted. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281

More information

Intermediate Level Learning Targets

Intermediate Level Learning Targets Learning Target #1: Develop proficiency in analyzing, graphing and solving linear equations and. Vocabulary: Absolute value, addition property of equality, best-fit line, compound inequality, coordinate

More information

Advanced Algebra 2. I. Equations and Inequalities

Advanced Algebra 2. I. Equations and Inequalities Advanced Algebra 2 I. Equations and Inequalities A. Real Numbers and Number Operations 6.A.5, 6.B.5, 7.C.5 1) Graph numbers on a number line 2) Order real numbers 3) Identify properties of real numbers

More information

What you can do - (Goal Completion) Learning

What you can do - (Goal Completion) Learning What you can do - (Goal Completion) Learning ARITHMETIC READINESS Whole Numbers Order of operations: Problem type 1 Order of operations: Problem type 2 Factors Prime factorization Greatest common factor

More information

ALGEBRA I A PLUS COURSE OUTLINE

ALGEBRA I A PLUS COURSE OUTLINE ALGEBRA I A PLUS COURSE OUTLINE 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 of Best

More information

Higher Education Math Placement

Higher Education Math Placement Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

More information

Level IV Academic Mathematics

Level IV Academic Mathematics Level IV Academic Mathematics Unit 1 Linear Equations and Inequalities Solve linear equations with applications Identify sets, interval notation, intersections, unions, and solve inequalities Solve absolute

More information

Chapter R - Basic Algebra Operations (69 topics, due on 05/01/12)

Chapter R - Basic Algebra Operations (69 topics, due on 05/01/12) Course Name: College Algebra 001 Course Code: R3RK6-CTKHJ ALEKS Course: College Algebra with Trigonometry Instructor: Prof. Bozyk Course Dates: Begin: 01/17/2012 End: 05/04/2012 Course Content: 288 topics

More information

Algebra II. Larson, Boswell, Kanold, & Stiff (2001) Algebra II, Houghton Mifflin Company: Evanston, Illinois. TI 83 or 84 Graphing Calculator

Algebra II. Larson, Boswell, Kanold, & Stiff (2001) Algebra II, Houghton Mifflin Company: Evanston, Illinois. TI 83 or 84 Graphing Calculator Algebra II Text: Supplemental Materials: Larson, Boswell, Kanold, & Stiff (2001) Algebra II, Houghton Mifflin Company: Evanston, Illinois. TI 83 or 84 Graphing Calculator Course Description: The purpose

More information

Algebra 1 Course Title

Algebra 1 Course Title Algebra 1 Course Title Course- wide 1. What patterns and methods are being used? Course- wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept

More information

Check boxes of Edited Copy of Sp Topics (was 259 topics in pilot)

Check boxes of Edited Copy of Sp Topics (was 259 topics in pilot) Check boxes of Edited Copy of 10022 Sp 11 258 Topics (was 259 topics in pilot) Beginning Algebra, 3rd Ed. [open all close all] Course Readiness and Additional Topics Appendix Course Readiness Multiplication

More information

Mathematics Curriculum Review Worksheets

Mathematics Curriculum Review Worksheets Mathematics Curriculum Review Worksheets Table 1. ACT for Score Range 13-15 N 201 N 202 N 203 AF 201 A 201 A 202 F 201 G 201 G 202 G 203 S 201 S 202 Perform one-operation computation with whole numbers

More information

Operations with Complex Numbers

Operations with Complex Numbers Algebra 2, Quarter 3, Unit 3.1 Operations with Complex Numbers Overview Number of instructional days: 9 (1 day for review and 1 day for assessment) (1 day = 45 minutes) Content to be learned Simplify the

More information

Pre-Calculus. Concepts: Relations and Functions. Distinguish between relations and functions, identify domain and range, evaluate f(c)

Pre-Calculus. Concepts: Relations and Functions. Distinguish between relations and functions, identify domain and range, evaluate f(c) Pre-Calculus Standards and Relations and Functions PC 1.4 PC 1.4 Distinguish between relations and functions, identify domain and range, evaluate f(c) Compose and find inverses of functions Determine if

More information

Prep for Intermediate Algebra

Prep for Intermediate Algebra Prep for Intermediate Algebra This course covers the topics outlined below, new topics have been highlighted. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum

More information

Prep for Calculus. Curriculum

Prep for Calculus. Curriculum Prep for 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 curricular

More information

Algebra 2 with Trigonometry

Algebra 2 with Trigonometry Algebra 2 with Trigonometry 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

Students divide decimals by whole numbers. Analyze statements in ifthen. Solve problems by writing Expressions. equations.

Students divide decimals by whole numbers. Analyze statements in ifthen. Solve problems by writing Expressions. equations. ACT Mathematics Test Format and Structure Taking the ACT Mathematics Test Mathematics Pretest Diagnostic PreTest ACT Mathematics Dividing Decimals by Whole Numbers Students divide decimals by whole numbers.

More information

Shenandoah County Public Schools Algebra II Pacing Guide

Shenandoah County Public Schools Algebra II Pacing Guide Shenandoah County Public Schools Algebra II Pacing Guide Unit 1 of Study First Six Weeks Unit 1: Functions, Equations and Graphs Algebra I Review AII.4.a The student will solve, algebraically and graphically,

More information

MyReadinessTest for English & Mathematics

MyReadinessTest for English & Mathematics MyReadinessTest for English & Mathematics Math Content Library Topics & Objectives Module 1: Whole Numbers 1 Reading and Writing Whole Numbers 1 Identify the place value of digits in whole numbers. 2 Write

More information

Algebra I. Copyright 2014 Fuel Education LLC. All rights reserved.

Algebra I. Copyright 2014 Fuel Education LLC. All rights reserved. Algebra I COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics, with an emphasis

More information

Curriculum Map

Curriculum Map ASSESSMENTS SEPTEMBER What is a numeric expression? What is a variable? How do you simplify variable expressions? How do you evaluate algebraic expressions? What is the distributive property? How do you

More information

Honors Algebra II. PREREQUISITES: Successful completion of Algebra I and Geometry. COURSE LENGTH: Two Semesters

Honors Algebra II. PREREQUISITES: Successful completion of Algebra I and Geometry. COURSE LENGTH: Two Semesters Honors Algebra II COURSE DESCRIPTION: This course builds upon algebraic concepts covered in Algebra I and prepares students for advanced-level courses. Students extend their knowledge and understanding

More information

Identify examples of field properties: commutative, associative, identity, inverse, and distributive.

Identify examples of field properties: commutative, associative, identity, inverse, and distributive. Topic: Expressions and Operations ALGEBRA II - STANDARD AII.1 The student will identify field properties, axioms of equality and inequality, and properties of order that are valid for the set of real numbers

More information

Essential Skills: Algebra II

Essential Skills: Algebra II Essential : Algebra II 1) Identify the graphs and equations of the Library of functions. Learning Goals A. Students will understand and be able to recognize, interpret, and graph various types of functions

More information

ModuMath Algebra Lessons

ModuMath Algebra Lessons ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations

More information

Banking, Binomials defined, 344 multiplying (see Distributing) Box and whisker plot, Brackets and braces, 166

Banking, Binomials defined, 344 multiplying (see Distributing) Box and whisker plot, Brackets and braces, 166 Absolute Value defined, 682 equations, 689-690, 695-697 and the number line, 684, 689 Addition 58-60 of like terms, 316 of rational expressions, 249-250 undoing, 14-15 of x s, 125-126 Algebra defined,

More information

Algebra 2 and Trigonometry Curriculum Map 1

Algebra 2 and Trigonometry Curriculum Map 1 Algebra 2 and Trigonometry Curriculum Map 1 Month Content NYSED Performance Indicators/Skills September Chapter 1 The Integers A2.N.3 Perform arithmetic operations with polynomial expressions containing

More information

Tools of Algebra. Solving Equations. Solving Inequalities. Dimensional Analysis and Probability. Scope and Sequence. Algebra I

Tools of Algebra. Solving Equations. Solving Inequalities. Dimensional Analysis and Probability. Scope and Sequence. Algebra I Scope and Sequence Algebra I Tools of Algebra CLE 3102.1.1, CFU 3102.1.10, CFU 3102.1.9, CFU 3102.2.1, CFU 3102.2.2, CFU 3102.2.7, CFU 3102.2.8, SPI 3102.1.3, SPI 3102.2.3, SPI 3102.4.1, 1-2 Using Variables,

More information

Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7

Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7 About the Author v Preface to the Instructor xiii WileyPLUS xviii Acknowledgments xix Preface to the Student xxi 1 The Real Numbers 1 1.1 The Real Line 2 Construction of the Real Line 2 Is Every Real Number

More information

ALGEBRA 1/ALGEBRA 1 HONORS

ALGEBRA 1/ALGEBRA 1 HONORS ALGEBRA 1/ALGEBRA 1 HONORS CREDIT HOURS: 1.0 COURSE LENGTH: 2 Semesters COURSE DESCRIPTION The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical

More information

Comprehensive Algebra II

Comprehensive Algebra II Comprehensive Algebra II COURSE DESCRIPTION: This course builds upon algebraic concepts covered in Algebra I and prepares students for advanced-level courses. Students extend their knowledge and understanding

More information

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

More information

AM Algebra 2 Library. Scope and Sequence

AM Algebra 2 Library. Scope and Sequence The Accelerated Math scope and sequence is based on extensive mathematics and standards research and consultation from mathematics educators, mathematicians, and university researchers. You're sure to

More information

MTH304: Honors Algebra II

MTH304: Honors Algebra II MTH304: Honors Algebra II This course builds upon algebraic concepts covered in Algebra. Students extend their knowledge and understanding by solving open-ended problems and thinking critically. Topics

More information

Mathematics Precalculus: Academic Unit 6: Sequences & Series

Mathematics Precalculus: Academic Unit 6: Sequences & Series Understandings Questions Knowledge Vocabulary Sequences and series can be used to model real-life situations. Sequences and series provide the foundation for upper level mathematics, especially calculus.

More information

Algebra 2 and Trigonometry

Algebra 2 and Trigonometry Algebra 2 and Trigonometry Text: Amsco Algebra II and Trigonometry Text/Workbook Topic Textbook 1. The Integers Alg II/Trig A. Adding and Subtracting Polynomials 1.3 B. Multiplying Polynomials 1.5 C. Factoring

More information

Algebra 2 Secondary Mathematics Instructional Guide

Algebra 2 Secondary Mathematics Instructional Guide Algebra 2 Secondary Mathematics Instructional Guide 2008-2009 Algebra 2 Scope and Sequence 2008 ALGEBRA 2AB (Grade 9, 10 or 11) Prerequisite: Algebra 1 AB or Geometry AB 310303 Algebra 2A 310304 Algebra

More information

ALGEBRA 2 SCOPE AND SEQUENCE. Writing Quadratic Equations Quadratic Regression

ALGEBRA 2 SCOPE AND SEQUENCE. Writing Quadratic Equations Quadratic Regression ALGEBRA 2 SCOPE AND SEQUENCE UNIT 1 2 3 4 5 6 DATES & NO. OF DAYS 8/22-9/16 19 days 9/19-9/30 9 days 10/3-10/14 9 days 10/20-10/25 4 days 10/27-12/2 17 days 12/5-12/16 10 days UNIT NAME Foundations for

More information

4. Factor polynomials over complex numbers, describe geometrically, and apply to real-world situations. 5. Determine and apply relationships among syn

4. Factor polynomials over complex numbers, describe geometrically, and apply to real-world situations. 5. Determine and apply relationships among syn I The Real and Complex Number Systems 1. Identify subsets of complex numbers, and compare their structural characteristics. 2. Compare and contrast the properties of real numbers with the properties of

More information

Simplifying Expressions with Zero and Negative Exponents

Simplifying Expressions with Zero and Negative Exponents Simplifying Expressions with Zero and Negative Exponents How are exponential functions used to model change? Lesson Title Objectives Standards Simplifying Expressions with Zero and Negative Exponents (7.1)

More information

Higher Education Math Placement

Higher Education Math Placement Higher Education Math Placement 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry (arith050) Subtraction with borrowing (arith006) Multiplication with carry

More information

Algebra I Credit Recovery

Algebra I Credit Recovery Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

More information

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers. Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

More information

Mathematics Curricular Guide ALGEBRA SCHOOL YEAR. Updated: Thursday, December 02, 2010

Mathematics Curricular Guide ALGEBRA SCHOOL YEAR. Updated: Thursday, December 02, 2010 Mathematics Curricular Guide ALGEBRA 010-011 SCHOOL YEAR 1 Updated: Thursday, December 0, 010 Pasco School District Algebra 010 011 School Year MATHEMATICS SCOPE & SEQUENCE Unit Title Dates Page 1. Chapter

More information

Definition of Subtraction x - y = x + 1-y2. Subtracting Real Numbers

Definition of Subtraction x - y = x + 1-y2. Subtracting Real Numbers Algebra Review Numbers FRACTIONS Addition and Subtraction i To add or subtract fractions with the same denominator, add or subtract the numerators and keep the same denominator ii To add or subtract fractions

More information

Algebra II: Part 2 Grade Levels 10-12

Algebra II: Part 2 Grade Levels 10-12 Algebra II: Part 2 Grade Levels 10-12 Algebra II: Part 2 introduces students to the following concepts, functions and more: review of square roots radicals solving and factoring identifying and evaluating

More information

Algebra I Schedule MISSION FOUNDATIONS INTRODUCTION TO ALGEBRA. Order of operations with negative numbers. Combining like terms

Algebra I Schedule MISSION FOUNDATIONS INTRODUCTION TO ALGEBRA. Order of operations with negative numbers. Combining like terms Algebra I Schedule Week 2 MISSION FOUNDATIONS Order of operations with negative numbers Combining like terms Exponents with integer bases Square roots of perfect squares Simplify fractions Ordering rational

More information

Algebra 1-2. A. Identify and translate variables and expressions.

Algebra 1-2. A. Identify and translate variables and expressions. St. Mary's College High School Algebra 1-2 The Language of Algebra What is a variable? A. Identify and translate variables and expressions. The following apply to all the skills How is a variable used

More information

Rockhurst High School Algebra 1 Topics

Rockhurst High School Algebra 1 Topics Rockhurst High School Algebra 1 Topics Chapter 1- Pre-Algebra Skills Simplify a numerical expression using PEMDAS. Substitute whole numbers into an algebraic expression and evaluate that expression. Substitute

More information

Algebra 2 REVERSE CORRELATION. Mathematics Course-Level Expectations (CLEs) Algebra 2. Missouri. Unit 1 Linear Relations and Functions

Algebra 2 REVERSE CORRELATION. Mathematics Course-Level Expectations (CLEs) Algebra 2. Missouri. Unit 1 Linear Relations and Functions Mathematics Course-Level Expectations (CLEs) Missouri 2010 REVERSE CORRELATION CHAPTER/LESSON TITLES Unit 1 Linear Relations and Functions Chapter 1 Equations and Inequalities 1-1 Expressions and Formulas

More information

Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks

Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson

More information

Prentice Hall Geometry 2009 correlated to American Diploma Project, High School Math Benchmarks

Prentice Hall Geometry 2009 correlated to American Diploma Project, High School Math Benchmarks Prentice Hall Math Benchmarks - I I. Number Sense and Numerical Operations I1. Compute fluently and accurately with rational numbers without a calculator: I1.1. Add, subtract, multiply and divide integers,

More information

Thinkwell s Homeschool Algebra 2 Course Lesson Plan: 34 weeks

Thinkwell s Homeschool Algebra 2 Course Lesson Plan: 34 weeks Thinkwell s Homeschool Algebra 2 Course Lesson Plan: 34 weeks Welcome to Thinkwell s Homeschool Algebra 2! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson

More information

Algebra 2 Syllabus/Online Course Plan

Algebra 2 Syllabus/Online Course Plan Algebra 2 Syllabus/Online Course Plan Certificated Teacher: Emily Poffenberger Date: August, 2010 Stage One Desired Results Course Title/Grade Level: Credit: one semester (.5) x two semesters (1) Estimate

More information

Algebra II Pacing Guide First Nine Weeks

Algebra II Pacing Guide First Nine Weeks First Nine Weeks SOL Topic Blocks.4 Place the following sets of numbers in a hierarchy of subsets: complex, pure imaginary, real, rational, irrational, integers, whole and natural. 7. Recognize that the

More information

I used math language and/or math notation throughout my work.

I used math language and/or math notation throughout my work. Progressive Learning Scale Rubric*: Algebra 2 with Trig Learning Targets Page 1 Level Problem Solving Reasoning and Proof Communication Connections Representation 1 (Beginner) Makes an effort No or little

More information

Real Numbers are used everyday to describe quantities such as age, weight, height, mpg, etc... Some common subsets of real numbers are:

Real Numbers are used everyday to describe quantities such as age, weight, height, mpg, etc... Some common subsets of real numbers are: P.1 Real Numbers and Their Properties Real Numbers are used everyday to describe quantities such as age, weight, height, mpg, etc... Some common subsets of real numbers are: Natural numbers N = {1, 2,

More information

MyMathLab ecourse for Developmental Mathematics

MyMathLab ecourse for Developmental Mathematics MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and

More information

Honors Algebra 2 Learning Targets. Unit 1 - Equations and Inequalities Learning Target

Honors Algebra 2 Learning Targets. Unit 1 - Equations and Inequalities Learning Target Honors Algebra 2 s I can Unit 1 - Equations and Inequalities 1. Describe the subsets of the real numbers and show how they are related to one another. 2. Use the properties of real numbers to justify the

More information

CA Algebra 1. Curriculum (446 topics additional topics)

CA Algebra 1. Curriculum (446 topics additional topics) CA Algebra 1 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

THE 4 DAY GED MATH REVIEW

THE 4 DAY GED MATH REVIEW THE 4 DAY GED MATH REVIEW QUICK & EASY NOTES TO PREPARE FOR THE GED MATH SECTION 1 Table of Contents Day 1 - Basic Algebra Terms and Concepts... 5 Number Operations... 5 Variables... 5 Order of Operation...

More information

Mastery of SAT Math. Curriculum (396 topics + 99 additional topics)

Mastery of SAT Math. Curriculum (396 topics + 99 additional topics) Mastery of SAT Math 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

Algebra and Geometry Review (61 topics, no due date)

Algebra and Geometry Review (61 topics, no due date) Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties

More information

Mercer County Public Schools PRIORITIZED CURRICULUM. Mathematics Content Maps Algebra II Revised August 07

Mercer County Public Schools PRIORITIZED CURRICULUM. Mathematics Content Maps Algebra II Revised August 07 Mercer County Public Schools PRIORITIZED CURRICULUM Mathematics Content Maps Algebra II Revised August 07 Suggested Sequence: C O N C E P T M A P ALGEBRA I I 1. Solving Equations/Inequalities 2. Functions

More information

Algebra 2 Correlation of the ALEKS course Algebra 2 to the Alabama Course of Study for Algebra II

Algebra 2 Correlation of the ALEKS course Algebra 2 to the Alabama Course of Study for Algebra II Algebra 2 Correlation of the ALEKS course Algebra 2 to the Alabama Course of Study for Algebra II Number and Operations 1: Determine the relationships among the subsets of complex numbers. Integers and

More information

Prentice Hall Mathematics, Algebra 2, Indiana Edition 2011

Prentice Hall Mathematics, Algebra 2, Indiana Edition 2011 Prentice Hall Mathematics, Algebra 2, Algebra 2 C O R R E L A T E D T O from March 2009 Algebra 2 A2.1 Functions A2.1.1 Find the zeros, domain, and range of a function. A2.1.2 Use and interpret function

More information

Saxon Algebra 1, Geometry, Algebra 2 correlated to the The Common Core State Standards for Mathematics: High School

Saxon Algebra 1, Geometry, Algebra 2 correlated to the The Common Core State Standards for Mathematics: High School Number and Quantity Standards N-RN-1. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation

More information

COURSE OUTLINE. MATHEMATICS 101 Intermediate Algebra

COURSE OUTLINE. MATHEMATICS 101 Intermediate Algebra Degree Applicable I. Catalog Statement COURSE OUTLINE MATHEMATICS 101 Intermediate Algebra Glendale Community College October 2013 Mathematics 101 is an accelerated course of Intermediate Algebra. Topics

More information

Portable Assisted Study Sequence ALGEBRA IIA

Portable Assisted Study Sequence ALGEBRA IIA 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 first half of

More information

Total days including assessments 169

Total days including assessments 169 Unit Unit Title Days Month plus review 1 Number and Polynomial Operations 12 Sept 6 to Sept 23 2 Rational Numbers and Expressions 11 Sept 24 to Oct 8 3 Real Numbers and Radicals 11 Oct 7 to Oct 24 4 Relations

More information

Algebra 2 REVERSE CORRELATION. Math Grade 11 Assessment Anchors and Eligible Content. Pennsylvania. Unit 1 Linear Relations and Functions

Algebra 2 REVERSE CORRELATION. Math Grade 11 Assessment Anchors and Eligible Content. Pennsylvania. Unit 1 Linear Relations and Functions Math Grade 11 Assessment Anchors and Pennsylvania Algebra 2 2010 REVERSE CORRELATION CHAPTER/LESSON TITLES Unit 1 Linear Relations and Functions Chapter 1 Equations and Inequalities 1-1 Expressions and

More information

Carnegie Learning Algebra II

Carnegie Learning Algebra II Chapter : Searching for Patterns...3.4.5 Exploring and Analyzing Patterns Using Patterns to Generate Algebraic Expressions Comparing Multiple Representations of Modeling with Analyzing Graphs to Build

More information

Algebra 2. Correlation of the ALEKS course Algebra 2 to the Common Core State Standards for Algebra II

Algebra 2. Correlation of the ALEKS course Algebra 2 to the Common Core State Standards for Algebra II Algebra 2 Correlation of the ALEKS course Algebra 2 to the Common Core State Standards for Algebra II Number and Quantity = ALEKS course topic that addresses the standard N-CN: The Complex Number System

More information

Course Title: Honors Algebra Course Level: Honors Textbook: Algebra 1 Publisher: McDougall Littell

Course Title: Honors Algebra Course Level: Honors Textbook: Algebra 1 Publisher: McDougall Littell Course Title: Honors Algebra Course Level: Honors Textbook: Algebra Publisher: McDougall Littell The following is a list of key topics studied in Honors Algebra. Identify and use the properties of operations

More information

Learning Objectives and Suggested homework for Math 130 Pre-Calculus

Learning Objectives and Suggested homework for Math 130 Pre-Calculus Learning Objectives and Suggested homework for Math 130 Pre-Calculus Since the final exam is to be done without the use of a calculator, the objectives are to be accomplished without the use of a calculator,

More information

Algebra 2/ Trigonometry Scope and Sequence (revised )

Algebra 2/ Trigonometry Scope and Sequence (revised ) Algebra 2/ Trigonometry Scope and Sequence (revised 2012 2013) Unit 1: Operations with Radicals and Complex Numbers 9 days 1. Operations with radicals (p.88, 94, 98, 101) a. Simplifying radicals i. Determining

More information

Note: A matrix as a representation of data is treated here as a basic table.

Note: A matrix as a representation of data is treated here as a basic table. These Standards describe what students who score in specific score ranges on the Math Test of ACT Explore, ACT Plan, and the ACT college readiness assessment are likely to know and be able to do. For more

More information

Precalculus REVERSE CORRELATION. Content Expectations for. Precalculus. Michigan CONTENT EXPECTATIONS FOR PRECALCULUS CHAPTER/LESSON TITLES

Precalculus REVERSE CORRELATION. Content Expectations for. Precalculus. Michigan CONTENT EXPECTATIONS FOR PRECALCULUS CHAPTER/LESSON TITLES Content Expectations for Precalculus Michigan Precalculus 2011 REVERSE CORRELATION CHAPTER/LESSON TITLES Chapter 0 Preparing for Precalculus 0-1 Sets There are no state-mandated Precalculus 0-2 Operations

More information

Carnegie Learning Algebra I, A Florida Standards Program

Carnegie Learning Algebra I, A Florida Standards Program Chapter : Quantities and Relationships This chapter introduces students to the concept of functions. Lessons provide opportunities for students to explore functions, including linear, exponential, quadratic,

More information

Prentice Hall: Algebra Correlated to: New York Learning Standards for Mathematics (Algebra 2)

Prentice Hall: Algebra Correlated to: New York Learning Standards for Mathematics (Algebra 2) A2.PS.1 Use a variety of problem solving strategies to understand new mathematical content A2.PS.2 Recognize and understand equivalent representations of a problem situation or a mathematical concept A2.PS.3

More information

Utah Core Curriculum for Mathematics

Utah Core Curriculum for Mathematics Core Curriculum for Mathematics correlated to correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables 2.2.1 Evaluate algebraic expressions

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

COGNITIVE TUTOR ALGEBRA

COGNITIVE TUTOR ALGEBRA COGNITIVE TUTOR ALGEBRA Numbers and Operations Standard: Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers,

More information

Standards Map - Basic Comprehensive Program Grades Eight Through Twelve - Mathematics

Standards Map - Basic Comprehensive Program Grades Eight Through Twelve - Mathematics Publisher: Pearson Ed. Inc., publishing as Prentice Hall Program Title: Prentice Hall Algebra 2 2011 Components: SE, TE Grade Level(s): 9-12 Intended Audience: s Map - Basic Comprehensive Program Grades

More information

Algebra 1 Course Objectives

Algebra 1 Course Objectives Course Objectives The Duke TIP course corresponds to a high school course and is designed for gifted students in grades seven through nine who want to build their algebra skills before taking algebra in

More information

Algebra 2 First Semester Lesson Plans

Algebra 2 First Semester Lesson Plans Section Topic(s) and Vocabulary Homework Date 1-1 Properties of Real Numbers Graphing real numbers. Properties of real numbers. Opposite, additive inverse, reciprocal, #2-60 EOE 1-2 Algebraic Expressions

More information

Unit 1, Review Transitioning from Previous Mathematics Instructional Resources: Prentice Hall: Algebra 1

Unit 1, Review Transitioning from Previous Mathematics Instructional Resources: Prentice Hall: Algebra 1 Unit 1, Review Transitioning from Previous Mathematics Transitioning from Seventh grade mathematics to Algebra 1 Read, compare and order real numbers Add, subtract, multiply and divide rational numbers

More information

Pre-Algebra - MA1100. Topic Lesson Objectives. Variables and Expressions

Pre-Algebra - MA1100. Topic Lesson Objectives. Variables and Expressions Variables and Expressions Problem Solving: Using a Problem-Solving Plan Use a four-step plan to solve problems. Choose an appropriate method of computation. Numbers and Expressions Use the order of operations

More information

Masconomet Regional High School Curriculum Guide

Masconomet Regional High School Curriculum Guide Masconomet Regional High School Curriculum Guide COURSE TITLE: Algebra 2 COURSE NUMBER: 1322 DEPARTMENT: Mathematics GRADE LEVEL(S) & PHASE: 10 12, CP LENGTH OF COURSE: Full Year Course Description: This

More information

Algebra 2 Year Long (Master)

Algebra 2 Year Long (Master) Teacher: Kim Benson Algebra 2 Year Long (Master) August 2015 CEQs: WHAT RELATIONSHIPS EXIST BETWEEN VARIOUS FUNCTIONS, THEIR GRAPHS, AND THEIR SOLUTION(S)? HOW DO WE SIMPLIFY &/or SOLVE VARIOUS FUNCTIONS?

More information