Algebra II. Weeks 1-3 TEKS

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Algebra II. Weeks 1-3 TEKS"

Transcription

1 Algebra II Pacing Guide Weeks 1-3: Equations and Inequalities: Solve Linear Equations, Solve Linear Inequalities, Solve Absolute Value Equations and Inequalities. Weeks 4-6: Linear Equations and Functions: Slope & Rate of Change, graph and write equations of lines, model direct variation, draw scatter plots, use absolute value functions and Transformations. Weeks 7-9: Solving Systems of Linear Equations; substitution, graphing, elimination, linear programming Weeks 10-12: Perform Matrix Operations: Adding, Subtracting, Scalar Mult, and Multiplication, Determinants and Cramers Rule, Inverse Matrices. Weeks 13-14: Graph & Solve Quadratic Functions: Standard, Vertex & Intercept Forms. Solve by factoring. Weeks 15-16: Solve Quadratics by finding square roots and using the Quadratic Formula Review (End of Fall Semester) Weeks 17-19: Solving Quadratics involving Complex numbers, completing the square, using the discriminate to determine how many/what kind of solutions, solve quadratic inequalities. Weeks 20-22: Evaluate and Graph Polynomial Functions. Add, subtract and multiply polynomials. Factor and Solve Polynomial Equations. Apply the Remainder and Factor Theorems. Weeks 23-25: Polynomials and Polynomial Functions: Find Rational zeros, Apply the Fundamental Theorem of Algebra. Analyze Graphs of Polynomial Functions. Rational Exponents and Radical Functions Weeks 26-28: Rational Exponents and Radical Functions, Function Operations and Compositions, Use Inverse Functions, Square Root and Cube Root Functions. Weeks 29-33: Exponential and Logarithmic Functions. TAKS/STAAR Review Weeks 34-37: Quadratic Relations and Conic Sections. Basic Understandings (1) Foundation concepts for high school mathematics. As presented in Grades K-8, the basic understandings of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics are essential foundations for all work in high school mathematics. Students continue to build on this foundation as they expand their understanding through other mathematical experiences. (2) Algebraic thinking and symbolic reasoning. Symbolic reasoning plays a critical role in algebra; symbols provide powerful ways to represent mathematical situations and to express generalizations. Students study algebraic concepts and the relationships among them to better understand the structure of algebra. (3) Functions, equations, and their relationship. The study of functions, equations, and their relationship is central to all of mathematics. Students perceive functions and equations as means for analyzing and understanding a broad variety of relationships and as a useful tool for expressing generalizations. (4) Relationship between algebra and geometry. Equations and functions are algebraic tools that can be used to represent geometric curves and figures; similarly, geometric figures can illustrate algebraic relationships. Students perceive the connections between algebra and geometry and use the tools of one to help solve problems in the other. (5) Tools for algebraic thinking. Techniques for working with functions and equations are essential in understanding underlying relationships. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model mathematical situations to solve meaningful problems. (6) Underlying mathematical processes. Many processes underlie all content areas in mathematics. As they do mathematics, students continually use problem-solving, language and communication, and reasoning (justification and proof) to make connections within and outside mathematics. Students also use multiple representations, technology, applications and modeling, and numerical fluency in problem-solving contexts. Weeks 1-3

2 identify the mathematical domains and ranges of functions and determine reasonable domain and range values for continuous and discrete situations[1a] collect and organize data, make and interpret scatterplots, fit the graph of a function to the data, interpret the results, and proceed to model, predict, and make decisions and critical judgments.[1b] identify and sketch graphs of parent functions, including linear (f(x) = x), quadratic (f(x) = x2), exponential (f(x) = ax), and logarithmic (f(x) = logax) functions, absolute value of x (f(x) = x ), square root of x (f(x) =?x), and reciprocal of x (f(x) = 1/x);[4A] How do you graph a line? How do you find slope? How do you write an equation of a line? How do you tell if a relation is a function? How do you solve an equation? absolute value function, exponential function, logarithmic function, rational function, square root function Weeks 4-6 collect and organize data, make and interpret scatterplots, fit the graph of a function to the data, interpret the results, and proceed to model, predict, and make decisions and critical judgments.[1b] analyze situations and formulate systems of equations in two or more unknowns or inequalities in two unknowns to solve problems;[3a] use algebraic methods, graphs, tables, or matrices, to solve systems of equations or inequalities[3b] interpret and determine the reasonableness of solutions to systems of equations or inequalities for given contexts.[3c] How do you solve systems of equations? How do you find an equation for a line that fits data? determinant, inverse matrix, matrix Weeks 7-9 analyze situations and formulate systems of equations in two or more unknowns or inequalities in two unknowns to solve problems;[3a] use algebraic methods, graphs, tables, or matrices, to solve systems of equations or inequalities[3b] interpret and determine the reasonableness of solutions to systems of equations or inequalities for given contexts.[3c] How do you use matrices to solve systems of equations? How do you add, subtract, multiply and divide matrices? Weeks identify and sketch graphs of parent functions, including linear (f(x) = x), quadratic (f(x) = x2), exponential (f(x) = ax), and logarithmic (f(x) = logax) functions, absolute value of x (f(x) = x ), square root of x (f(x) =?x), and reciprocal of x (f(x) = 1/x);[4A]

3 determine the reasonable domain and range values of quadratic functions, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities;[6a] relate representations of quadratic functions, such as algebraic, tabular, graphical, and verbal descriptions[6b] use characteristics of the quadratic parent function to sketch the related graphs and connect between the y = ax2 + bx + c and the y = a(x - h)2 + k symbolic representations of quadratic functions[7a] use the parent function to investigate, describe, and predict the effects of changes in a, h, and k on the graphs of y = a(x - h)2 + k form of a function in applied and purely mathematical situations.[7b] How do you write a polynomial as a product of monomials and binomials? How do you graph a parabola? What does an equation of a parabola tell you about the graph of the parabola? Weeks determine the reasonable domain and range values of quadratic functions, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities;[6a] relate representations of quadratic functions, such as algebraic, tabular, graphical, and verbal descriptions[6b] determine a quadratic function from its roots or a graph.[6c] analyze situations involving quadratic functions and formulate quadratic equations or inequalities to solve problems;[8a] compare and translate between algebraic and graphical solutions of quadratic equations[8c] solve quadratic equations and inequalities using graphs, tables, and algebraic methods.[8d] How do you graph a parabola? What does an equation of a parabola tell you about the graph of the parabola? How do you solve a quadratic equation? Weeks use complex numbers to describe the solutions of quadratic equations.[2b] determine the reasonable domain and range values of quadratic functions, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities;[6a] determine a quadratic function from its roots or a graph.[6c] analyze situations involving quadratic functions and formulate quadratic equations or inequalities to solve problems;[8a] analyze and interpret the solutions of quadratic equations using discriminants and solve quadratic equations using the quadratic formula;[8b] compare and translate between algebraic and graphical solutions of quadratic equations[8c] solve quadratic equations and inequalities using graphs, tables, and algebraic methods.[8d] What is a complex number? How are the graph of a quadratic and the roots of the quadratic related? How do you solve a quadratic equation?

4 Weeks identify and sketch graphs of parent functions, including linear (f(x) = x), quadratic (f(x) = x2), exponential (f(x) = ax), and logarithmic (f(x) = logax) functions, absolute value of x (f(x) = x ), square root of x (f(x) =?x), and reciprocal of x (f(x) = 1/x);[4A] describe and analyze the relationship between a function and its inverse.[4c] How do changes in equations of functions change the graph of the function? How do you graph absolute value functions? How do you solve absolute value equations? What are parent functions? How do you find compositions of functions? How do you tell if two functions are inverses? inverse of a function Weeks use the parent function to investigate, describe, and predict the effects of parameter changes on the graphs of square root functions and describe limitations on the domains and ranges;[9a] relate representations of square root functions, such as algebraic, tabular, graphical, and verbal descriptions; [9B] determine the reasonable domain and range values of square root functions, as well as interpret and determine the reasonableness of solutions to square root equations and inequalities;[9c] determine solutions of square root equations using graphs, tables, and algebraic methods;[9d] determine solutions of square root inequalities using graphs and tables;[9e] analyze situations modeled by square root functions, formulate equations or inequalities, select a method, and solve problems[9f] connect inverses of square root functions with quadratic functions.[9g] What do negative exponents mean? What do fractional exponents mean? How is the square root function related to the quadratic function? How do you solve equations with square roots in them? Weeks use quotients of polynomials to describe the graphs of rational functions, predict the effects of parameter changes, describe limitations on the domains and ranges, and examine asymptotic behavior;[10a] analyze various representations of rational functions with respect to problem situations;[10b]

5 determine the reasonable domain and range values of rational functions, as well as interpret and determine the reasonableness of solutions to rational equations and inequalities;[10c] determine the solutions of rational equations using graphs, tables, and algebraic methods;[10d] determine solutions of rational inequalities using graphs and tables;[10e] analyze a situation modeled by a rational function, formulate an equation or inequality composed of a linear or quadratic function, and solve the problem[10f] use functions to model and make predictions in problem situations involving direct and inverse variation.[10g] What effect does having an x in the denominator have on the graph of a function? What is an asymptote and when do they happen? How do you perform operations on rational expressions? How do you solve rational equations? Weeks develop the definition of logarithms by exploring and describing the relationship between exponential functions and their inverses;[11a] use the parent functions to investigate, describe, and predict the effects of parameter changes on the graphs of exponential and logarithmic functions, describe limitations on the domains and ranges, and examine asymptotic behavior;[11b] determine the reasonable domain and range values of exponential and logarithmic functions, as well as interpret and determine the reasonableness of solutions to exponential and logarithmic equations and inequalities;[11c] determine solutions of exponential and logarithmic equations using graphs, tables, and algebraic methods;[11d] determine solutions of exponential and logarithmic inequalities using graphs and tables[11e] analyze a situation modeled by an exponential function, formulate an equation or inequality, and solve the problem.[11f] What is a logarithm? How are logs and exponents related? Weeks describe a conic section as the intersection of a plane and a cone;[5a] sketch graphs of conic sections to relate simple parameter changes in the equation to corresponding changes in the graph;[5b] identify symmetries from graphs of conic sections;[5c] identify the conic section from a given equation[5d] use the method of completing the square.[5e] What are the conic sections? What is the significance of the focus of a conic? How do you write equations of conics? How do you use equations of conics? conic section, directrix, ellipse, focus, hyperbola

6 Weeks use complex numbers to describe the solutions of quadratic equations.[2b] How do you find the roots of a polynomial equation? How are the roots of a polynomial related to its graph?

Algebra 2 Year-at-a-Glance Leander ISD 2007-08. 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks

Algebra 2 Year-at-a-Glance Leander ISD 2007-08. 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks Algebra 2 Year-at-a-Glance Leander ISD 2007-08 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks Essential Unit of Study 6 weeks 3 weeks 3 weeks 6 weeks 3 weeks 3 weeks

More 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

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

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

Contents. The Real Numbers. Linear Equations and Inequalities in One Variable

Contents. The Real Numbers. Linear Equations and Inequalities in One Variable dug33513_fm.qxd 11/20/07 3:21 PM Page vii Preface Guided Tour: Features and Supplements Applications Index 1 2 The Real Numbers 1.1 1.2 1.3 1.4 1.5 1.6 1 Sets 2 The Real Numbers 9 Operations on the Set

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

South Carolina College- and Career-Ready (SCCCR) Pre-Calculus

South Carolina College- and Career-Ready (SCCCR) Pre-Calculus South Carolina College- and Career-Ready (SCCCR) Pre-Calculus Key Concepts Arithmetic with Polynomials and Rational Expressions PC.AAPR.2 PC.AAPR.3 PC.AAPR.4 PC.AAPR.5 PC.AAPR.6 PC.AAPR.7 Standards Know

More 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

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

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

Text: A Graphical Approach to College Algebra (Hornsby, Lial, Rockswold)

Text: A Graphical Approach to College Algebra (Hornsby, Lial, Rockswold) Students will take Self Tests covering the topics found in Chapter R (Reference: Basic Algebraic Concepts) and Chapter 1 (Linear Functions, Equations, and Inequalities). If any deficiencies are revealed,

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

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

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

SCHOOL DISTRICT OF THE CHATHAMS CURRICULUM PROFILE

SCHOOL DISTRICT OF THE CHATHAMS CURRICULUM PROFILE CONTENT AREA(S): Mathematics COURSE/GRADE LEVEL(S): Honors Algebra 2 (10/11) I. Course Overview In Honors Algebra 2, the concept of mathematical function is developed and refined through the study of real

More information

Math Course: Algebra II Grade 10

Math Course: Algebra II Grade 10 MATH 401 Algebra II 1/2 credit 5 times per week (1 st Semester) Taught in English Math Course: Algebra II Grade 10 This is a required class for all 10 th grade students in the Mexican and/or U.S. Diploma

More information

CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA

CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA April 2016 www.voyagersopris.com Mathematical

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 II Billings Public Schools Correlation and Pacing Guide Math - McDougal Littell High School Math 2007

ALGEBRA II Billings Public Schools Correlation and Pacing Guide Math - McDougal Littell High School Math 2007 ALGEBRA II Billings Public Schools Correlation and Guide Math - McDougal Littell High School Math 2007 (Chapter Order: 1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 14, 10) BILLINGS PUBLIC SCHOOLS II 2009 Eleventh Grade-McDougal

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 Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary)

Prentice Hall Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary) Core Standards of the Course Standard 1 Students will acquire number sense and perform operations with real and complex numbers. Objective 1.1 Compute fluently and make reasonable estimates. 1. Simplify

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

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

High School Mathematics Algebra

High School Mathematics Algebra High School Mathematics Algebra This course is designed to give students the foundation of understanding algebra at a moderate pace. Essential material will be covered to prepare the students for Geometry.

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

College Algebra. Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1

College Algebra. Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1 College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1 Course Description This course provides

More information

Larson, R. and Boswell, L. (2016). Big Ideas Math, Algebra 2. Erie, PA: Big Ideas Learning, LLC. ISBN

Larson, R. and Boswell, L. (2016). Big Ideas Math, Algebra 2. Erie, PA: Big Ideas Learning, LLC. ISBN ALG B Algebra II, Second Semester #PR-0, BK-04 (v.4.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for ALG B. WHAT TO

More information

Able Enrichment Centre - Prep Level Curriculum

Able Enrichment Centre - Prep Level Curriculum Able Enrichment Centre - Prep Level Curriculum Unit 1: Number Systems Number Line Converting expanded form into standard form or vice versa. Define: Prime Number, Natural Number, Integer, Rational Number,

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

Mathematics Online Instructional Materials Correlation to the 2009 Algebra I Standards of Learning and Curriculum Framework

Mathematics Online Instructional Materials Correlation to the 2009 Algebra I Standards of Learning and Curriculum Framework Provider York County School Division Course Syllabus URL http://yorkcountyschools.org/virtuallearning/coursecatalog.aspx Course Title Algebra I AB Last Updated 2010 - A.1 The student will represent verbal

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

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

Algebra 1 Chapter 3 Vocabulary. equivalent - Equations with the same solutions as the original equation are called.

Algebra 1 Chapter 3 Vocabulary. equivalent - Equations with the same solutions as the original equation are called. Chapter 3 Vocabulary equivalent - Equations with the same solutions as the original equation are called. formula - An algebraic equation that relates two or more real-life quantities. unit rate - A rate

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

Comal Independent School District Pre-AP Pre-Calculus Scope and Sequence

Comal Independent School District Pre-AP Pre-Calculus Scope and Sequence Comal Independent School District Pre- Pre-Calculus Scope and Sequence Third Quarter Assurances. The student will plot points in the Cartesian plane, use the distance formula to find the distance between

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

BookTOC.txt. 1. Functions, Graphs, and Models. Algebra Toolbox. Sets. The Real Numbers. Inequalities and Intervals on the Real Number Line

BookTOC.txt. 1. Functions, Graphs, and Models. Algebra Toolbox. Sets. The Real Numbers. Inequalities and Intervals on the Real Number Line College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 3rd Edition Ronald J. Harshbarger, University of South Carolina - Beaufort Lisa S. Yocco, Georgia Southern University

More information

Overview of Math Standards

Overview of Math Standards Algebra 2 Welcome to math curriculum design maps for Manhattan- Ogden USD 383, striving to produce learners who are: Effective Communicators who clearly express ideas and effectively communicate with diverse

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

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

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

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

Course Name: Course Code: ALEKS Course: Instructor: Course Dates: Course Content: Textbook: Dates Objective Prerequisite Topics

Course Name: Course Code: ALEKS Course: Instructor: Course Dates: Course Content: Textbook: Dates Objective Prerequisite Topics Course Name: MATH 1204 Fall 2015 Course Code: N/A ALEKS Course: College Algebra Instructor: Master Templates Course Dates: Begin: 08/22/2015 End: 12/19/2015 Course Content: 271 Topics (261 goal + 10 prerequisite)

More information

Clear & Understandable Math

Clear & Understandable Math Chapter 1: Basic Algebra (Review) This chapter reviews many of the fundamental algebra skills that students should have mastered in Algebra 1. Students are encouraged to take the time to go over these

More information

Developmental Math Course Outcomes and Objectives

Developmental Math Course Outcomes and Objectives Developmental Math Course Outcomes and Objectives I. Math 0910 Basic Arithmetic/Pre-Algebra Upon satisfactory completion of this course, the student should be able to perform the following outcomes and

More information

Algebra I Pacing Guide Days Units Notes 9 Chapter 1 ( , )

Algebra I Pacing Guide Days Units Notes 9 Chapter 1 ( , ) Algebra I Pacing Guide Days Units Notes 9 Chapter 1 (1.1-1.4, 1.6-1.7) Expressions, Equations and Functions Differentiate between and write expressions, equations and inequalities as well as applying order

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

Algebra 2 Chapter 1 Vocabulary. identity - A statement that equates two equivalent expressions.

Algebra 2 Chapter 1 Vocabulary. identity - A statement that equates two equivalent expressions. Chapter 1 Vocabulary identity - A statement that equates two equivalent expressions. verbal model- A word equation that represents a real-life problem. algebraic expression - An expression with variables.

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

South Carolina College- and Career-Ready (SCCCR) Algebra 1

South Carolina College- and Career-Ready (SCCCR) Algebra 1 South Carolina College- and Career-Ready (SCCCR) Algebra 1 South Carolina College- and Career-Ready Mathematical Process Standards The South Carolina College- and Career-Ready (SCCCR) Mathematical Process

More information

Montana Common Core Standard

Montana Common Core Standard Algebra 2 Grade Level: 10(with Recommendation), 11, 12 Length: 1 Year Period(s) Per Day: 1 Credit: 1 Credit Requirement Fulfilled: Mathematics Course Description This course covers the main theories in

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

Prerequisites: TSI Math Complete and high school Algebra II and geometry or MATH 0303.

Prerequisites: TSI Math Complete and high school Algebra II and geometry or MATH 0303. Course Syllabus Math 1314 College Algebra Revision Date: 8-21-15 Catalog Description: In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems

More information

ALGEBRA I / ALGEBRA I SUPPORT

ALGEBRA I / ALGEBRA I SUPPORT Suggested Sequence: CONCEPT MAP ALGEBRA I / ALGEBRA I SUPPORT August 2011 1. Foundations for Algebra 2. Solving Equations 3. Solving Inequalities 4. An Introduction to Functions 5. Linear Functions 6.

More information

COLLEGE ALGEBRA LEARNING COMMUNITY

COLLEGE ALGEBRA LEARNING COMMUNITY COLLEGE ALGEBRA LEARNING COMMUNITY Tulsa Community College, West Campus Presenter Lori Mayberry, B.S., M.S. Associate Professor of Mathematics and Physics lmayberr@tulsacc.edu NACEP National Conference

More information

Polynomial Operations and Factoring

Polynomial Operations and Factoring Algebra 1, Quarter 4, Unit 4.1 Polynomial Operations and Factoring Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Identify terms, coefficients, and degree of polynomials.

More 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

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

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

Table of Contents. Montessori Algebra for the Adolescent Michael J. Waski"

Table of Contents. Montessori Algebra for the Adolescent Michael J. Waski Table of Contents I. Introduction II. Chapter of Signed Numbers B. Introduction and Zero Sum Game C. Adding Signed Numbers D. Subtracting Signed Numbers 1. Subtracting Signed Numbers 2. Rewriting as Addition

More information

March 2013 Mathcrnatics MATH 92 College Algebra Kerin Keys. Dcnnis. David Yec' Lscture: 5 we ekly (87.5 total)

March 2013 Mathcrnatics MATH 92 College Algebra Kerin Keys. Dcnnis. David Yec' Lscture: 5 we ekly (87.5 total) City College of San Irrancisco Course Outline of Itecord I. GENERAI- DESCRIPI'ION A. Approval Date B. Departrnent C. Course Number D. Course Title E. Course Outline Preparer(s) March 2013 Mathcrnatics

More information

Algebra. Indiana Standards 1 ST 6 WEEKS

Algebra. Indiana Standards 1 ST 6 WEEKS Chapter 1 Lessons Indiana Standards - 1-1 Variables and Expressions - 1-2 Order of Operations and Evaluating Expressions - 1-3 Real Numbers and the Number Line - 1-4 Properties of Real Numbers - 1-5 Adding

More information

Norwalk La Mirada Unified School District. Algebra Scope and Sequence of Instruction

Norwalk La Mirada Unified School District. Algebra Scope and Sequence of Instruction 1 Algebra Scope and Sequence of Instruction Instructional Suggestions: Instructional strategies at this level should include connections back to prior learning activities from K-7. Students must demonstrate

More information

West Windsor-Plainsboro Regional School District Algebra I Part 2 Grades 9-12

West Windsor-Plainsboro Regional School District Algebra I Part 2 Grades 9-12 West Windsor-Plainsboro Regional School District Algebra I Part 2 Grades 9-12 Unit 1: Polynomials and Factoring Course & Grade Level: Algebra I Part 2, 9 12 This unit involves knowledge and skills relative

More information

Scope and Sequence. AM CC Algebra 1 Library

Scope and Sequence. AM CC Algebra 1 Library 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

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 Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 2012-13 school year.

Algebra Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 2012-13 school year. This document is designed to help North Carolina educators teach the Common Core (Standard Course of Study). NCDPI staff are continually updating and improving these tools to better serve teachers. Algebra

More information

How are the properties of real numbers and the order of operations used to simplify an expression and/or solve an algebraic equation or inequality?

How are the properties of real numbers and the order of operations used to simplify an expression and/or solve an algebraic equation or inequality? Topic: Algebra I Review Key Learning: Review Algebraic concepts of single-variable expressions and equations using the order of operations, sets of real numbers and the properties of real numbers. How

More information

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document

More information

LAKE ELSINORE UNIFIED SCHOOL DISTRICT

LAKE ELSINORE UNIFIED SCHOOL DISTRICT LAKE ELSINORE UNIFIED SCHOOL DISTRICT Title: PLATO Algebra 1-Semester 2 Grade Level: 10-12 Department: Mathematics Credit: 5 Prerequisite: Letter grade of F and/or N/C in Algebra 1, Semester 2 Course Description:

More information

Bracken County Schools Curriculum Guide Math

Bracken County Schools Curriculum Guide Math Unit 1: Expressions and Equations (Ch. 1-3) Suggested Length: Semester Course: 4 weeks Year Course: 8 weeks Program of Studies Core Content 1. How do you use basic skills and operands to create and solve

More information

PRECALCULUS Semester I Exam Review Sheet

PRECALCULUS Semester I Exam Review Sheet PRECALCULUS Semester I Exam Review Sheet Chapter Topic P.1 Real Numbers {1, 2, 3, 4, } Natural (aka Counting) Numbers {0, 1, 2, 3, 4, } Whole Numbers {, -3, -2, -2, 0, 1, 2, 3, } Integers Can be expressed

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

Prentice Hall Mathematics: Algebra 1 2007 Correlated to: Michigan Merit Curriculum for Algebra 1

Prentice Hall Mathematics: Algebra 1 2007 Correlated to: Michigan Merit Curriculum for Algebra 1 STRAND 1: QUANTITATIVE LITERACY AND LOGIC STANDARD L1: REASONING ABOUT NUMBERS, SYSTEMS, AND QUANTITATIVE SITUATIONS Based on their knowledge of the properties of arithmetic, students understand and reason

More information

Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

More 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

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

Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Quadratic Functions (unit 4) 11/3/14-12/05/14

Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Quadratic Functions (unit 4) 11/3/14-12/05/14 Westside High School Backwards-Design Lesson Plan Template 2014-2015 Algebra 2 PAP Quadratic Functions (unit 4) 11/3/14-12/05/14 Understanding (s)/goals: Essential Question(s): EU5: EQ1: Unit 5: 1. What

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

Algebra II Texas Mathematics: Unpacked Content

Algebra II Texas Mathematics: Unpacked Content Algebra II Texas Mathematics: Unpacked Content What is the purpose of this document? To increase student achievement by ensuring educators understand specifically what the new standards mean a student

More information

The standards in this course continue the work of modeling situations and solving equations.

The standards in this course continue the work of modeling situations and solving equations. Algebra II Overview View unit yearlong overview here Building on the understanding of linear, quadratic and exponential functions from Algebra I, this course will extend function concepts to include polynomial,

More information

Algebra 2. Curriculum Map

Algebra 2. Curriculum Map Algebra 2 Curriculum Map Table of Contents Unit 1: Basic Concepts of Algebra Unit 7: Solving Quadratic Unit 2: Inequalities Unit 8: Variation and Proportion Unit 3: Linear and Functions Unit 9: Analytic

More information

Student Lesson: Absolute Value Functions

Student Lesson: Absolute Value Functions TEKS: a(5) Tools for algebraic thinking. Techniques for working with functions and equations are essential in understanding underlying relationships. Students use a variety of representations (concrete,

More information

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring non-course based remediation in developmental mathematics. This structure will

More information

Algebra 1 Course Information

Algebra 1 Course Information Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through

More information

http://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304

http://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304 MATH 1340.04 College Algebra Location: MAGC 2.202 Meeting day(s): TR 7:45a 9:00a, Instructor Information Name: Virgil Pierce Email: piercevu@utpa.edu Phone: 665.3535 Teaching Assistant Name: Indalecio

More information

Indiana State Core Curriculum Standards updated 2009 Algebra I

Indiana State Core Curriculum Standards updated 2009 Algebra I Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and

More information

CHAMBERSBURG AREA SCHOOL DISTRICT COURSE OF PLANNED INSTRUCTION

CHAMBERSBURG AREA SCHOOL DISTRICT COURSE OF PLANNED INSTRUCTION CHAMBERSBURG AREA SCHOOL DISTRICT COURSE OF PLANNED INSTRUCTION SCHOOL CASHS DEPARTMENT MATH DATE 7/12/05 COURSE TITLE ALGEBRA I GRADE 8-12 COURSE LENGTH 1 YR. LESSON FREQUENCY (PER WEEK) 5 TIME 43 MIN.

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

York Suburban Middle School Course Overview. Algebra 1

York Suburban Middle School Course Overview. Algebra 1 York Suburban Middle School Course Overview I. Course Description Algebra 1 1.0 Credit Length: School Year; Format: Meets Daily Prerequisite: Pre-Algebra Algebra 1 The Larson Algebra 1brings math to life

More information

Precalculus Workshop - Functions

Precalculus Workshop - Functions Introduction to Functions A function f : D C is a rule that assigns to each element x in a set D exactly one element, called f(x), in a set C. D is called the domain of f. C is called the codomain of f.

More information

Official Math 112 Catalog Description

Official Math 112 Catalog Description Official Math 112 Catalog Description Topics include properties of functions and graphs, linear and quadratic equations, polynomial functions, exponential and logarithmic functions with applications. A

More information

Algebra II New Summit School High School Diploma Program

Algebra II New Summit School High School Diploma Program Syllabus Course Description: Algebra II is a two semester course. Students completing this course will earn 1.0 unit upon completion. Required Materials: 1. Student Text Glencoe Algebra 2: Integration,

More information

Big Ideas in Mathematics

Big Ideas in Mathematics Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

More information

CD 1 Real Numbers, Variables, and Algebraic Expressions

CD 1 Real Numbers, Variables, and Algebraic Expressions CD 1 Real Numbers, Variables, and Algebraic Expressions The Algebra I Interactive Series is designed to incorporate all modalities of learning into one easy to use learning tool; thereby reinforcing learning

More information

Administrative - Master Syllabus COVER SHEET

Administrative - Master Syllabus COVER SHEET Administrative - Master Syllabus COVER SHEET Purpose: It is the intention of this to provide a general description of the course, outline the required elements of the course and to lay the foundation for

More information

Vocabulary Words and Definitions for Algebra

Vocabulary Words and Definitions for Algebra Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms

More information

ALGEBRA I (Created 2014) Amherst County Public Schools

ALGEBRA I (Created 2014) Amherst County Public Schools ALGEBRA I (Created 2014) Amherst County Public Schools The 2009 Mathematics Standards of Learning Curriculum Framework is a companion document to the 2009 Mathematics Standards of Learning and amplifies

More information

Clovis Community College Core Competencies Assessment 2014 2015 Area II: Mathematics Algebra

Clovis Community College Core Competencies Assessment 2014 2015 Area II: Mathematics Algebra Core Assessment 2014 2015 Area II: Mathematics Algebra Class: Math 110 College Algebra Faculty: Erin Akhtar (Learning Outcomes Being Measured) 1. Students will construct and analyze graphs and/or data

More information