# Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks

Size: px
Start display at page:

Transcription

1 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 plan is meant to be a guide for you and your homeschool student. Each day, you ll tackle a different topic and all the materials associated with that topic, such as video lectures, exercises, and notes. If you follow our day by day schedule, you ll complete the full curriculum for the course in 36 weeks. Feel free to modify and amend the plan as it best works for you. And, as always, please let us know what we can do to help get you up and running with Thinkwell s Precalculus! Week 1 Chapter 1: Basic Algebra Review Week 1, Day The Top Ten List of Mistakes Concepts of Inequality Week 1, Day Inequalities and Interval Notation Properties of Absolute Value Week 1, Day Evaluating Absolute Value Expressions An Introduction to Exponents Evaluating Exponential Expressions Week 1, Day Applying the Rules of Exponents Evaluating Expressions with Negative Exponents Week 1, Day Converting between Decimal and Scientific Notation Converting Rational Exponents and Radicals Week 2 Chapter 1: Basic Algebra Review Week 2, Day Simplifying Radical Expressions Simplifying Radical Expressions with Variables Rationalizing Denominators Week 2, Day Determining Components and Degree Adding, Subtracting, and Multiplying Polynomials Week 2, Day Multiplying Big Products Using Special Products

2 Week 2, Day Factoring Using the Greatest Common Factor Factoring by Grouping Factoring Trinomials Completely Week 2, Day Factoring Perfect Square Trinomials Factoring the Difference of Two Squares Week 3 Chapter 1: Basic Algebra Review Week 3, Day Factoring the Sums and Differences of Cubes Factoring by Any Method Week 3, Day Rational Expressions and Domain Working with Fractions Writing Rational Expressions in Lowest Terms Week 3, Day Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Rewriting Complex Fractions Week 3, Day Introducing and Writing Complex Numbers Rewriting Powers of i Adding and Subtracting Complex Numbers Week 3, Day Multiplying Complex Numbers Dividing Complex Numbers Week 4 Chapter 1 Test Chapter 2: Equations and Inequalities Week 4, Day 1 Chapter 1 Practice Test Week 4, Day 2 Chapter 1 Test Week 4, Day An Introduction to Solving Equations Solving a Linear Equation Week 4, Day Solving a Linear Equation with Rationals Solving a Linear Equation That Has Restrictions Chapter 1 Test

3 Week 4, Day An Introduction to Solving Word Problems Solving for Perimeter Solving a Linear Geometry Problem Week 5 Chapter 2: Equations and Inequalities Week 5, Day Solving for Consecutive Numbers Solving to Find the Average Week 5, Day Solving for Constant Velocity Solving a Problem about Work Solving a Mixture Problem Week 5, Day Solving an Investment Problem Solving Business Problems Week 5, Day Solving Quadratics by Factoring Solving Quadratics by Completing the Square Completing the Square: Another Example Week 5, Day Proving the Quadratic Formula Using the Quadratic Formula Predicting the Type of Solutions Using the Discriminant Week 6 Chapter 2: Equations and Inequalities Week 6, Day Solving for a Squared Variable Finding Real Number Restrictions Solving Fancy Quadratics Week 6, Day An Introduction to Word Problems with Quadratics Solving a Quadratic Geometry Problem Solving with the Pythagorean Theorem Week 6, Day Solving a Motion Problem Solving a Projectile Problem Solving Other Problems Week 6, Day 4

4 2.9.1 Determining Extraneous Roots Solving an Equation Containing a Radical Week 6, Day Solving an Equation with Two Radicals Solving an Equation with Rational Exponents Week 7 Chapter 2: Equations and Inequalities Week 7, Day An Introduction to Variation Direct Proportion Inverse Proportion Week 7, Day An Introduction to Solving Inequalities Solving Compound Inequalities Week 7, Day More on Compound Inequalities Solving Word Problems Involving Inequalities Week 7, Day Solving Quadratic Inequalities Solving Quadratic Inequalities: Another Example Week 7, Day Solving Rational Inequalities Solving Rational Inequalities: Another Example Determining the Domains of Expressions with Radicals Week 8 Chapter 2: Equations and Inequalities Chapter 2 Test Chapter 3: Relations and Functions Week 8, Day Matching Number Lines with Absolute Values Solving Absolute Value Equations Solving Equations with Two Absolute Value Expressions Week 8, Day Solving Absolute Value Inequalities Solving Absolute Value Inequalities: More Examples Week 8, Day 3 Chapter 2 Practice Test Week 8, Day 4 Chapter 2 Test Week 8, Day 5 Chapter 2 Test

5 3.1.1 Using the Cartesian System Thinking Visually Week 9 Chapter 3: Relations and Functions Week 9, Day Finding the Distance between Two Points Finding the Second Endpoint of a Segment Collinearity and Distance Week 9, Day Triangles Finding the Center Radius Form of the Equation of a Circle Finding the Center and Radius of a Circle Week 9, Day Decoding the Circle Formula Solving Word Problems Involving Circles Week 9, Day Graphing Equations by Locating Points Finding the x and y Intercepts of an Equation Week 9, Day Functions and the Vertical Line Test Identifying Functions Function Notation and Finding Function Values Week 10 Chapter 3: Relations and Functions Week 10, Day Determining Intervals Over Which a Function Is Increasing Evaluating Piecewise Defined Functions for Given Values Solving Word Problems Involving Functions Week 10, Day Finding the Domain and Range of a Function Domain and Range: One Explicit Example Satisfying the Domain of a Function Week 10, Day An Introduction to Slope Finding the Slope of a Line Given Two Points Week 10, Day Interpreting Slope from a Graph Graphing a Line Using Point and Slope Week 10, Day 5

6 Writing an Equation in Slope Intercept Form Writing an Equation Given Two Points Writing an Equation in Point Slope Form Week 11 Chapter 3: Relations and Functions Week 11, Day Matching a Slope Intercept Equation with Its Graph Slope for Parallel and Perpendicular Lines Week 11, Day Constructing Linear Function Models of Data Linear Cost and Revenue Functions Week 11, Day Graphing Some Important Functions Graphing Piecewise Defined Functions Matching Equations with Their Graphs Week 11, Day The Greatest Integer Function Graphing the Greatest Integer Function Deconstructing the Graph of a Quadratic Function Week 11, Day Nice Looking Parabolas Using Discriminants to Graph Parabolas Maximum Height in the Real World Week 12 Chapter 3: Relations and Functions Week 12, Day Finding the Vertex by Completing the Square Using the Vertex to Write the Quadratic Equation Finding the Maximum or Minimum of a Quadratic Graphing Parabolas Week 12, Day Shifting Curves along Axes Shifting or Translating Curves along Axes Stretching a Graph Graphing Quadratics Using Patterns Week 12, Day Determining Symmetry Reflections Reflecting Specific Functions Week 12, Day 4

7 Using Operations on Functions Composite Functions Components of Composite Functions Week 12, Day Finding Functions That Form a Given Composite Finding the Difference Quotient of a Function Week 13 Chapter 3 Test Chapter 4: Polynomial and Rational Functions Week 13, Day 1 Chapter 3 Practice Test Week 13, Day 2 Chapter 3 Test Week 13, Day Using Long Division with Polynomials Long Division: Another Example Week 13, Day Using Synthetic Division with Polynomials More Synthetic Division Week 13, Day The Remainder Theorem More on the Remainder Theorem Chapter 3 Test Week 14 Chapter 4: Polynomial and Rational Functions Week 14, Day The Factor Theorem and Its Uses Factoring a Polynomial Given a Zero Week 14, Day Presenting the Rational Zero Theorem Week 14, Day Considering Possible Solutions Finding Polynomials Given Zeros, Degree, and One Point Week 14, Day Finding all Zeros and Multiplicities of a Polynomial Finding the Real Zeros for a Polynomial Week 14, Day Using Descartes' Rule of Signs Finding the Zeros of a Polynomial from Start to Finish

8 Week 15 Chapter 4: Polynomial and Rational Functions Week 15, Day Matching Graphs to Polynomial Functions Sketching the Graphs of Basic Polynomial Functions Week 15, Day Understanding Rational Functions Basic Rational Functions Week 15, Day Vertical Asymptotes Horizontal Asymptotes Week 15, Day Graphing Rational Functions Graphing Rational Functions: More Examples Week 15, Day Oblique Asymptotes Oblique Asymptotes: Another Example Week 16 Chapter 4 Test Chapter 5: Exponential and Logarithmic Functions Week 16, Day 1 Chapter 4 Practice Test Week 16, Day 2 Chapter 4 Test Week 16, Day Understanding Inverse Functions The Horizontal Line Test Week 16, Day Are Two Functions Inverses of Each Other? Graphing the Inverse Week 16, Day Finding the Inverse of a Function Finding the Inverse of a Function with Higher Powers Chapter 4 Test Week 17 Chapter 5: Exponential and Logarithmic Functions Week 17, Day An Introduction to Exponential Functions Graphing Exponential Functions: Useful Patterns Week 17, Day 2

9 5.3.3 Graphing Exponential Functions: More Examples Using Properties of Exponents to Solve Exponential Equations Week 17, Day Finding Present Value and Future Value Finding an Interest Rate to Match Given Goals Week 17, Day e Applying Exponential Functions Week 17, Day An Introduction to Logarithmic Functions Converting between Exponential and Logarithmic Functions Week 18 Chapter 5: Exponential and Logarithmic Functions Week 18, Day Finding the Value of a Logarithmic Function Solving for x in Logarithmic Equations Week 18, Day Graphing Logarithmic Functions Matching Logarithmic Functions with Their Graphs Week 18, Day Properties of Logarithms Expanding a Logarithmic Expression Using Properties Week 18, Day Combining Logarithmic Expressions Evaluating Logarithmic Functions Using a Calculator Week 18, Day Using the Change of Base Formula The Richter Scale Week 19 Chapter 5: Exponential and Logarithmic Functions Week 19, Day The Distance Modulus Formula Solving Exponential Equations Week 19, Day Solving Logarithmic Equations Solving Equations with Logarithmic Exponents Week 19, Day 3

10 Compound Interest Predicting Change Week 19, Day An Introduction to Exponential Growth and Decay Half Life Week 19, Day Newton's Law of Cooling Continuously Compounded Interest Week 20 Chapter 5 Test Midterm Exam Week 20, Day 1 Chapter 5 Practice Test Week 20, Day 2 Chapter 5 Test Week 20, Day 3 Study for Midterm Exam Week 20, Day 4 Practice Midterm Exam Week 20, Day 5 Midterm Exam Chapter 5 Test Midterm Exam Week 21 Chapter 6: The Trigonometric Functions Week 21, Day Finding the Quadrant in Which an Angle Lies Week 21, Day Finding Coterminal Angles Finding the Complement and Supplement of an Angle Week 21, Day Converting between Degrees and Radians Using the Arc Length Formula Week 21, Day An Introduction to the Trigonometric Functions Week 21, Day Evaluating Trigonometric Functions for an Angle in a Right Triangle Finding an Angle Given the Value of a Trigonometric Function

11 Week 22 Chapter 6: The Trigonometric Functions Week 22, Day Using Trigonometric Functions to Find Unknown Sides of Right Triangles Finding the Height of a Building Week 22, Day Evaluating Trigonometric Functions for an Angle in the Coordinate Plane Evaluating Trigonometric Functions Using the Reference Angle Week 22, Day Finding the Value of Trigonometric Functions Given Information about the Values of Other Trigonometric Functions Trigonometric Functions of Important Angles Week 22, Day An Introduction to the Graphs of Sine and Cosine Functions Graphing Sine or Cosine Functions with Different Coefficients Week 22, Day Finding Maximum and Minimum Values and Zeros of Sine and Cosine Solving Word Problems Involving Sine or Cosine Functions Week 23 Chapter 6: The Trigonometric Functions Week 23, Day Graphing Sine and Cosine Functions with Phase Shifts Fancy Graphing: Changes in Period, Amplitude, Vertical Shift, and Phase Shift Week 23, Day Graphing the Tangent, Secant, Cosecant, and Cotangent Functions Fancy Graphing: Tangent, Secant, Cosecant, and Cotangent Week 23, Day Identifying a Trigonometric Function from its Graph An Introduction to Inverse Trigonometric Functions Week 23, Day Evaluating Inverse Trigonometric Functions Solving an Equation Involving an Inverse Trigonometric Function

12 Week 23, Day Evaluating the Composition of a Trigonometric Function and Its Inverse Applying Trigonometric Functions: Is He Speeding? Week 24 Chapter 6 Test Chapter 7: Trigonometric Identities Week 24, Day 1 Chapter 6 Practice Test Week 24, Day 2 Chapter 6 Test Week 24, Day Fundamental Trigonometric Identities Finding All Function Values Week 24, Day Simplifying a Trigonometric Expression Using Trigonometric Identities Simplifying Trigonometric Expressions Involving Fractions Simplifying Products of Binomials Involving Trigonometric Functions Week 24, Day Factoring Trigonometric Expressions Determining Whether a Trigonometric Function Is Odd, Even, or Neither Chapter 6 Test Week 25 Chapter 7: Trigonometric Identities Week 25, Day Proving an Identity Proving an Identity: Other Examples Week 25, Day Solving Trigonometric Equations Solving Trigonometric Equations by Factoring Week 25, Day Solving Trigonometric Equations with Coefficients in the Argument Solving Trigonometric Equations Using the Quadratic Formula Week 25, Day Solving Word Problems Involving Trigonometric Equations Identities for Sums and Differences of Angles

13 Week 25, Day Using Sum and Difference Identities Using Sum and Difference Identities to Simplify an Expression Week 26 Chapter 7: Trigonometric Identities Chapter 7 Test Week 26, Day Confirming a Double Angle Identity Using Double Angle Identities Week 26, Day Solving Word Problems Involving Multiple Angle Identities Using a Cofunction Identity Week 26, Day Using a Power Reducing Identity Using Half Angle Identities to Solve a Trigonometric Equation Week 26, Day 4 Chapter 7 Practice Test Week 26, Day 5 Chapter 7 Test Chapter 7 Test Week 27 Chapter 8: Applications of Trigonometry Week 27, Day The Law of Sines Solving a Triangle Given Two Sides and One Angle Week 27, Day Solving a Triangle (SAS): Another Example The Law of Sines: An Application Week 27, Day The Law of Cosines The Law of Cosines (SSS) Week 27, Day The Law of Cosines (SAS): An Application Heron's Formula Week 27, Day An Introduction to Vectors Finding the Magnitude and Direction of a Vector Vector Addition and Scalar Multiplication

14 Week 28 Chapter 8: Applications of Trigonometry Week 28, Day Finding the Components of a Vector Finding a Unit Vector Week 28, Day Solving Word Problems Involving Velocity or Forces Graphing a Complex Number and Finding Its Absolute Value Week 28, Day Expressing a Complex Number in Trigonometric or Polar Form Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form Week 28, Day Using DeMoivre's Theorem to Raise a Complex Number to a Power Roots of Complex Numbers Week 28, Day More Roots of Complex Numbers Roots of Unity Week 29 Chapter 8: Applications of Trigonometry Chapter 8 Test Week 29, Day An Introduction to Polar Coordinates Converting between Polar and Rectangular Coordinates Week 29, Day Converting between Polar and Rectangular Equations Week 29, Day Graphing Simple Polar Equations Graphing Special Polar Equations Week 29, Day 4 Chapter 8 Practice Test Week 29, Day 5 Chapter 8 Test Chapter 8 Test Week 30 Chapter 9: Systems of Equations and Matrices

15 Week 30, Day An Introduction to Linear Systems Solving a System by Substitution Week 30, Day Solving a System by Elimination An Introduction to Linear Systems in Three Variables Week 30, Day Solving Linear Systems in Three Variables Solving Inconsistent Systems Week 30, Day Solving Dependent Systems Solving Systems with Two Equations Week 30, Day Investments Solving with Partial Fractions Week 31 Chapter 9: Systems of Equations and Matrices Week 31, Day Solving Nonlinear Systems Using Elimination Solving Nonlinear Systems by Substitution Week 31, Day An Introduction to Matrices The Arithmetic of Matrices Week 31, Day Multiplying Matrices by a Scalar Multiplying Matrices Week 31, Day Using the Gauss Jordan Method Using Gauss Jordan: Another Example Week 31, Day Evaluating 2 x 2 Determinants Evaluating n x n Determinants Week 32 Chapter 9: Systems of Equations and Matrices Week 32, Day Finding a Determinant using Expanding by Cofactors Applying Determinants Week 32, Day Using Cramer's Rule Using Cramer's Rule in a 3x3 Matrix

16 Week 32, Day An Introduction to Inverses Inverses: 2 x 2 Matrices Another Look at 2 x 2 Inverses Week 32, Day Inverses: 3 x 3 Matrices Solving a System of Equations with Inverses Week 32, Day An Introduction to Graphing Linear Inequalities Graphing Linear and Nonlinear Inequalities Graphing the Solution Set of a System of Inequalities Week 33 Chapter 9: Systems of Equations and Matrices Chapter 9 Test Chapter 10: Special Topics Week 33, Day Solving for Maxima Minima Applying Linear Programming Week 33, Day 2 Chapter 9 Practice Test Week 33, Day 3 Chapter 9 Test Week 33, Day An Introduction to Conic Sections An Introduction to Parabolas Week 33, Day Determining Information about a Parabola from Its Equation Writing an Equation for a Parabola Chapter 9 Test Week 34 Chapter 10: Special Topics Week 34, Day An Introduction to Ellipses Finding the Equation for an Ellipse Week 34, Day Applying Ellipses: Satellites An Introduction to Hyperbolas Week 34, Day Finding the Equation for a Hyperbola Applying Hyperbolas: Navigation

17 Week 34, Day Identifying a Conic Name That Conic Week 34, Day Rotation of Axes Rotating Conics Week 35 Chapter 10: Special Topics Week 35, Day Using the Binomial Theorem Binomial Coefficients Finding a Term of a Binomial Expansion Week 35, Day Understanding Sequence Problems Solving Problems Involving Arithmetic Sequences Solving Problems Involving Geometric Sequences Week 35, Day Proving Formulas Using Mathematical Induction Examples of Induction Week 35, Day Solving Problems Involving Permutations Solving Problems Involving Combinations Week 35, Day Independent Events Inclusive and Exclusive Events Week 36 Chapter 10 Test Final Exam Week 36, Day 1 Chapter 10 Practice Test Week 36, Day 2 Chapter 10 Test Week 36, Day 3 Study for Final Exam Week 36, Day 4 Practice Final Exam Week 36, Day 5 Final Exam Chapter 10 Test Final Exam

### 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

### 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

### 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

### 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

### 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

### Estimated Pre Calculus Pacing Timeline

Estimated Pre Calculus Pacing Timeline 2010-2011 School Year The timeframes listed on this calendar are estimates based on a fifty-minute class period. You may need to adjust some of them from time to

### 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,

### 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

PRE-CALCULUS GRADE 12 [C] Communication Trigonometry General Outcome: Develop trigonometric reasoning. A1. Demonstrate an understanding of angles in standard position, expressed in degrees and radians.

### 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

### MATH BOOK OF PROBLEMS SERIES. New from Pearson Custom Publishing!

MATH BOOK OF PROBLEMS SERIES New from Pearson Custom Publishing! The Math Book of Problems Series is a database of math problems for the following courses: Pre-algebra Algebra Pre-calculus Calculus Statistics

### How To Understand And Solve Algebraic Equations

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

### Math Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices.

Math Placement Test Study Guide General Characteristics of the Test 1. All items are to be completed by all students. The items are roughly ordered from elementary to advanced. The expectation is that

### Birmingham City Schools

Activity 1 Classroom Rules & Regulations Policies & Procedures Course Curriculum / Syllabus LTF Activity: Interval Notation (Precal) 2 Pre-Assessment 3 & 4 1.2 Functions and Their Properties 5 LTF Activity:

### Algebra II and Trigonometry

Algebra II and Trigonometry Textbooks: Algebra 2: California Publisher: McDougal Li@ell/Houghton Mifflin (2006 EdiHon) ISBN- 13: 978-0618811816 Course descriphon: Algebra II complements and expands the

### 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

### 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.

### 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

### MATH 2 Course Syllabus Spring Semester 2007 Instructor: Brian Rodas

MATH 2 Course Syllabus Spring Semester 2007 Instructor: Brian Rodas Class Room and Time: MC83 MTWTh 2:15pm-3:20pm Office Room: MC38 Office Phone: (310)434-8673 E-mail: rodas brian@smc.edu Office Hours:

### 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

### 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

### KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007

KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 4-47) Surveys and

### 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,

### 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

### 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

### HIGH SCHOOL: GEOMETRY (Page 1 of 4)

HIGH SCHOOL: GEOMETRY (Page 1 of 4) Geometry is a complete college preparatory course of plane and solid geometry. It is recommended that there be a strand of algebra review woven throughout the course

Accelerated Mathematics 3 This is a course in precalculus and statistics, designed to prepare students to take AB or BC Advanced Placement Calculus. It includes rational, circular trigonometric, and inverse

### Math 131 College Algebra Fall 2015

Math 131 College Algebra Fall 2015 Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: Course Description This course has a minimal review of algebraic skills followed by a study of

### MATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS

* Students who scored a Level 3 or above on the Florida Assessment Test Math Florida Standards (FSA-MAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices

COURSE SYLLABUS Pre-Calculus A/B Last Modified: April 2015 Course Description: In this year-long Pre-Calculus course, students will cover topics over a two semester period (as designated by A and B sections).

### Florida Math for College Readiness

Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness

Advanced Math Study Guide Topic Finding Triangle Area (Ls. 96) using A=½ bc sin A (uses Law of Sines, Law of Cosines) Law of Cosines, Law of Cosines (Ls. 81, Ls. 72) Finding Area & Perimeters of Regular

### 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:

### 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

### Sequence of Mathematics Courses

Sequence of ematics Courses Where do I begin? Associates Degree and Non-transferable Courses (For math course below pre-algebra, see the Learning Skills section of the catalog) MATH M09 PRE-ALGEBRA 3 UNITS

### Math 1050 Khan Academy Extra Credit Algebra Assignment

Math 1050 Khan Academy Extra Credit Algebra Assignment KhanAcademy.org offers over 2,700 instructional videos, including hundreds of videos teaching algebra concepts, and corresponding problem sets. In

### Curriculum Map Precalculus Saugus High School Saugus Public Schools

Curriculum Map Precalculus Saugus High School Saugus Public Schools The Standards for Mathematical Practice The Standards for Mathematical Practice describe varieties of expertise that mathematics educators

### PreCalculus Curriculum Guide

MOUNT VERNON CITY SCHOOL DISTRICT A World Class Organization PreCalculus Curriculum Guide THIS HANDBOOK IS FOR THE IMPLEMENTATION OF THE NYS MATH b CURRICULUM IN MOUNT VERNON. THIS PROVIDES AN OUTLINE

### 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

### Math 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction

Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a

### Algebra II. Weeks 1-3 TEKS

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:

### Florida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper

Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic

### 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

### 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

### 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.

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### 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

### HIBBING COMMUNITY COLLEGE COURSE OUTLINE

HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE: - Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,

### The program also provides supplemental modules on topics in geometry and probability and statistics.

Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students

### Math Course Descriptions & Student Learning Outcomes

Math Course Descriptions & Student Learning Outcomes Table of Contents MAC 100: Business Math... 1 MAC 101: Technical Math... 3 MA 090: Basic Math... 4 MA 095: Introductory Algebra... 5 MA 098: Intermediate

### Math Handbook of Formulas, Processes and Tricks. Algebra and PreCalculus

Math Handbook of Formulas, Processes and Tricks (www.mathguy.us) Algebra and PreCalculus Prepared by: Earl L. Whitney, FSA, MAAA Version 2.8 April 19, 2016 Copyright 2008 16, Earl Whitney, Reno NV. All

### Onderwerp uit Pre-calculus Terug te vinden onder of onder par. hfdst. Fundamentals 1. Real numbers 1.1. Exponents en Radicals 1.2

Onderwerp uit Pre-calculus Terug te vinden onder of onder par. hfdst. Fundamentals 1 Real numbers 1.1 Real Numbers 1.1.6 Reële getallen Properties of Real Numbers 1.1.6 Reële getallen The Real Line 1.1.6

### X On record with the USOE.

Textbook Alignment to the Utah Core Algebra 2 Name of Company and Individual Conducting Alignment: Chris McHugh, McHugh Inc. A Credential Sheet has been completed on the above company/evaluator and is

### Extra Credit Assignment Lesson plan. The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam.

Extra Credit Assignment Lesson plan The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam. The extra credit assignment is to create a typed up lesson

### Prentice Hall Algebra 2 2011 Correlated to: Colorado P-12 Academic Standards for High School Mathematics, Adopted 12/2009

Content Area: Mathematics Grade Level Expectations: High School Standard: Number Sense, Properties, and Operations Understand the structure and properties of our number system. At their most basic level

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Week 1 Chapter 1: Fundamentals of Geometry. Week 2 Chapter 1: Fundamentals of Geometry. Week 3 Chapter 1: Fundamentals of Geometry Chapter 1 Test

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

### 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

### Pre-Calculus Semester 1 Course Syllabus

Pre-Calculus Semester 1 Course Syllabus The Plano ISD eschool Mission is to create a borderless classroom based on a positive student-teacher relationship that fosters independent, innovative critical

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

### Science, Technology, Engineering and Math

School: Course Number: Course Name: Credit Hours: Length of Course: Prerequisite: Science, Technology, Engineering and Math MATH-111 College Trigonometry 3 Credit Hours 16 weeks While there are no pre-requisites

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### 2312 test 2 Fall 2010 Form B

2312 test 2 Fall 2010 Form B 1. Write the slope-intercept form of the equation of the line through the given point perpendicular to the given lin point: ( 7, 8) line: 9x 45y = 9 2. Evaluate the function

### PCHS ALGEBRA PLACEMENT TEST

MATHEMATICS Students must pass all math courses with a C or better to advance to the next math level. Only classes passed with a C or better will count towards meeting college entrance requirements. If

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### Students Currently in Algebra 2 Maine East Math Placement Exam Review Problems

Students Currently in Algebra Maine East Math Placement Eam Review Problems The actual placement eam has 100 questions 3 hours. The placement eam is free response students must solve questions and write

### The Australian Curriculum Mathematics

The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year

### What are the place values to the left of the decimal point and their associated powers of ten?

The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything

### Syllabus MAC1147 Pre-Calculus Algebra and Trigonometry

Syllabus MAC1147 Pre-Calculus Algebra and Trigonometry Term: SUMMER B 2009-3 Reference #: 569147 Instructor s Name: Lun-Yi Tsai E-mail: ltsai@mdc.edu Office: Math Lab, Room # 2223 Mail-box: Math Lab, Room

### Dear Accelerated Pre-Calculus Student:

Dear Accelerated Pre-Calculus Student: I am very excited that you have decided to take this course in the upcoming school year! This is a fastpaced, college-preparatory mathematics course that will also

### 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

### Math 1B Syllabus. Course Description. Text. Course Assignments. Exams. Course Grade

Course Description Math 1B Syllabus This Pre-Calculus course is designed to prepare students for a Calculus course. This course is taught so that students will acquire a solid foundation in algebra and

### Essential Mathematics for Computer Graphics fast

John Vince Essential Mathematics for Computer Graphics fast Springer Contents 1. MATHEMATICS 1 Is mathematics difficult? 3 Who should read this book? 4 Aims and objectives of this book 4 Assumptions made

### Lyman Memorial High School. Pre-Calculus Prerequisite Packet. Name:

Lyman Memorial High School Pre-Calculus Prerequisite Packet Name: Dear Pre-Calculus Students, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry. These

### 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,

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### a. all of the above b. none of the above c. B, C, D, and F d. C, D, F e. C only f. C and F

FINAL REVIEW WORKSHEET COLLEGE ALGEBRA Chapter 1. 1. Given the following equations, which are functions? (A) y 2 = 1 x 2 (B) y = 9 (C) y = x 3 5x (D) 5x + 2y = 10 (E) y = ± 1 2x (F) y = 3 x + 5 a. all

### Course Outlines. 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit)

Course Outlines 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit) This course will cover Algebra I concepts such as algebra as a language,

### Graphing Trigonometric Skills

Name Period Date Show all work neatly on separate paper. (You may use both sides of your paper.) Problems should be labeled clearly. If I can t find a problem, I ll assume it s not there, so USE THE TEMPLATE

### Algebra 1. Curriculum Map

Algebra 1 Curriculum Map Table of Contents Unit 1: Expressions and Unit 2: Linear Unit 3: Representing Linear Unit 4: Linear Inequalities Unit 5: Systems of Linear Unit 6: Polynomials Unit 7: Factoring

### 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

### AMSCO S Ann Xavier Gantert

AMSCO S Integrated ALGEBRA 1 Ann Xavier Gantert AMSCO SCHOOL PUBLICATIONS, INC. 315 HUDSON STREET, NEW YORK, N.Y. 10013 Dedication This book is dedicated to Edward Keenan who left a profound influence

### Mathematics (MAT) MAT 061 Basic Euclidean Geometry 3 Hours. MAT 051 Pre-Algebra 4 Hours

MAT 051 Pre-Algebra Mathematics (MAT) MAT 051 is designed as a review of the basic operations of arithmetic and an introduction to algebra. The student must earn a grade of C or in order to enroll in MAT

### Math 1280/1300, Pre-Calculus

Math 1280/1300, Pre-Calculus Instructor: Office: Office Hours: Phone: E-mail: MyMathLab Course Code: Text and Materials: ISBN: 1269594060 Author: Blitzer Title: Precalculus, Books a la Carte Edition Package

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### Algebra II End of Course Exam Answer Key Segment I. Scientific Calculator Only

Algebra II End of Course Exam Answer Key Segment I Scientific Calculator Only Question 1 Reporting Category: Algebraic Concepts & Procedures Common Core Standard: A-APR.3: Identify zeros of polynomials

### Lesson 9.1 Solving Quadratic Equations

Lesson 9.1 Solving Quadratic Equations 1. Sketch the graph of a quadratic equation with a. One -intercept and all nonnegative y-values. b. The verte in the third quadrant and no -intercepts. c. The verte

### North Carolina Math 2

Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4.

### ALGEBRA 2 CRA 2 REVIEW - Chapters 1-6 Answer Section

ALGEBRA 2 CRA 2 REVIEW - Chapters 1-6 Answer Section MULTIPLE CHOICE 1. ANS: C 2. ANS: A 3. ANS: A OBJ: 5-3.1 Using Vertex Form SHORT ANSWER 4. ANS: (x + 6)(x 2 6x + 36) OBJ: 6-4.2 Solving Equations by

### Polynomial Degree and Finite Differences

CONDENSED LESSON 7.1 Polynomial Degree and Finite Differences In this lesson you will learn the terminology associated with polynomials use the finite differences method to determine the degree of a polynomial

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

### Review of Intermediate Algebra Content

Review of Intermediate Algebra Content Table of Contents Page Factoring GCF and Trinomials of the Form + b + c... Factoring Trinomials of the Form a + b + c... Factoring Perfect Square Trinomials... 6

### Precalculus Orientation and FAQ

Precalculus Orientation and FAQ MATH 1011 (Precalculus) is a four hour 3 credit course that prepares a student for Calculus. Topics covered include linear, quadratic, polynomial, rational, exponential,

### Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application

### Equations. #1-10 Solve for the variable. Inequalities. 1. Solve the inequality: 2 5 7. 2. Solve the inequality: 4 0

College Algebra Review Problems for Final Exam Equations #1-10 Solve for the variable 1. 2 1 4 = 0 6. 2 8 7 2. 2 5 3 7. = 3. 3 9 4 21 8. 3 6 9 18 4. 6 27 0 9. 1 + log 3 4 5. 10. 19 0 Inequalities 1. Solve

### CENTRAL COLLEGE Department of Mathematics COURSE SYLLABUS

CENTRAL COLLEGE Department of Mathematics COURSE SYLLABUS MATH 1314: College Algebra Fall 2010 / Tues-Thurs 7:30-9:00 pm / Gay Hall Rm 151 / CRN: 47664 INSTRUCTOR: CONFERENCE TIMES: CONTACT INFORMATION:

### Course Name: College Algebra Course Number: Math 1513 Semester: Fall 2015

Course Name: College Algebra Course Number: Math 1513 Semester: Fall 2015 Instructor s Name: Ricky Streight Hours Credit: 3 Office Phone: 945-6794 Office Hours: Check http://www.osuokc.edu/rickyws/ for