Northampton County Schools Pre-Calculus Mathematics Pacing Guide

Size: px
Start display at page:

Download "Northampton County Schools Pre-Calculus Mathematics Pacing Guide"

Transcription

1 Northampton County Schools Pre-Calculus Mathematics Pacing Guide Grading Periods Included 1 st Six Weeks 2 nd Six Weeks 3 rd Six Weeks Northampton County Schools Department of Curriculum & Instruction K-12 Mathematics Geneva N. Squire, Coordinator Fall 2008 Pacing guides are subject to change as a result of benchmark assessment results.

2 Northampton County Schools Pre-Calculus Pacing Guide The pacing guide illustrates the relative weight of the goals and objectives within the course. The pacing guide should be used by teachers to plan the course of work for the year, prepare daily lesson plans, and construct instructionally valid summative and formative assessments. Interpretation of Columns on the Math Pacing Guide No. Heading Column information 1 Obj.# Obj. =Objective number (Goal and Objective within the goal). Some of the goals have sublevel content as well. 2 Objective Statements 3 Supplemental Materials/Textbook Correlation Statements of unit titles and specific objectives. Each specific objective begins with an action verb and makes a complete sentence when combined with the stem The learner will be able to... Valuable formative assessments can be located at the links below. Indicators: DPI Resources: Shador: Listserv If you wish to receive announcements and updates relevant to high school mathematics for the state of North Carolina, you may join the listserv by providing your name, address, school name, school address and phone number to Secondary_Math@dpi.state.nc.us.

3 Unit Titles/Competency and Objective Statements Supplementary Materials/Textbook Correlation Obj # (The Learner will be able to:) st Six Weeks (Topics should have covered) 1.01 Transform relations in two dimensions; describe algebraically and geometrically the results. Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results. (a) Solve using tables, graphs, and algebraic properties. (b) Interpret the constants and coefficients in the context of the 2.01 Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise, and greatest integer) to model and solve problems; justify results Solve using graphs and algebraic properties. Interpret the constants, coefficients, and bases in the context of the For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions. (a) Interpret the constants, coefficients, and bases in the context of the data. (b) Check models for goodness-of-fit; use the most appropriate model to draw conclusions or make predictions Use the composition and inverse of functions to model and solve problems. 2 nd Six Weeks 1.01 Transform relations in two dimensions; describe algebraically and geometrically the results. Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results. (a) Solve using tables, graphs, and algebraic properties. (b) Interpret the constants and coefficients in the context of the 2.01 Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise, and greatest integer) to model and solve problems; justify results Solve using graphs and algebraic properties. Interpret the constants, coefficients, and bases in the context of the

4 Unit Titles/Competency and Objective Statements Supplementary Materials/Textbook Correlation Obj # (The Learner will be able to:) Use trigonometric and inverse trigonometric functions to model and solve problems; justify results. (a) Solve using graphs and algebraic properties. (b) Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts. (c) Develop and use the law of sines and the law of cosines. For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions. (a) Interpret the constants, coefficients, and bases in the context of the data. (b) Check models for goodness-of-fit; use the most appropriate model to draw conclusions or make predictions Use the composition and inverse of functions to model and solve problems. 3 rd Six Weeks 1.01 Transform relations in two dimensions; describe algebraically and geometrically the results. Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results. (a) Solve using tables, graphs, and algebraic properties. (b) Interpret the constants and coefficients in the context of the 2.02 Use trigonometric and inverse trigonometric functions to model and solve problems; justify results. (a) Solve using graphs and algebraic properties. (b) Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts. (c) Develop and use the law of sines and the law of cosines. For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions. (a) Interpret the constants, coefficients, and bases in the context of the data. (b) Check models for goodness-of-fit; use the most appropriate model to draw conclusions or make predictions Use polar equations to model and solve problems. (a) Solve using graphs and algebraic properties. (b) Interpret the constants and coefficients in the context of the

5 Unit Titles/Competency and Objective Statements Supplementary Materials/Textbook Correlation Obj # (The Learner will be able to:) Use parametric equations to model and solve problems Use recursively-defined functions to model and solve problems. (a) Find the sum of a finite sequence. (b) Find the sum of an infinite sequence. (c) Determine whether a given series converges or diverges. (d) Translate between recursive and explicit representations Explore the limit of a function graphically, numerically, and algebraically.

6 Days in Grading Period Pre-Calculus PACING GUIDE 1 st Grading Period Objectives Concept Key Concept Graphs and Equations Functions and Graphs Polynomial and Rational Functions Translate between algebraic, graphical and tabular representations of a function? Recognizing symmetry from the graph of a function Solve linear, quadratic, rational, absolute value and radical equations and inequalities. Recognizing basic functions (linear, identity, squaring, cubing, square rooting, reciprocal, absolute value, exponential, logarithmic, trigonometric) from their equations, graphs, and tables? Recognize the domain and range of a function from its graph and/or equation. Definition of continuity Definition of discontinuity (piece-wise functions) Recognize discontinuity on TI-83 Interpret the slope and y-intercept of a linear function in the context of a real-life situation Linear regression on data using TI-83 Calculate average rate of change Identify the critical behavior (i.e. increasing/ decreasing, minima/maxima, x-intercepts) of a function on a given interval? Find minima and maxima using TI-83 Find x-intercepts using TI-83 Recognize and perform transformations such as reflections, translations, stretches and compressions on the graphs of the basic functions Given a set of data, identify the appropriate type of regression equation. Use correlation coefficient on TI-83 Locate the vertical, horizontal and oblique asymptotes of a

7 Exponential and Logarithmic Functions 2 Remediation and Enrichment Unit Review and Mini-Assessment rational function. Recognize connection between asymptotes and domain and range. Identify the salient characteristics (x- and y-intercept asymptotes) of a graph of the equation of a rational function. Identify the salient characteristics (degree, real zeros, turning points, end behavior) of the graph of the equation of a polynomial. Locate the complex roots of a polynomial equation. Apply theorems and rules to analyze equations Find the inverse of a function. Relationship between the graphs of two inverse functions. Relationship between the domains and ranges of inverse functions. Use exponential and logarithmic equations to model real-world phenomena. Solve exponential and logarithmic equations using power rules and properties of logarithms.

8 Days in Grading Period Pre-Calculus PACING GUIDE 2 nd Grading Period Objectives Concept Key Concept Exponential and Logarithmic Functions Trigonometric Functions 1.5 Review and test Analytic Trigonometry Continue Convert between degrees (decimal and DMS) and radians. Find the exact values of the trigonometric functions for points on the unit circle. Recognize special triangles and understand the development of the unit circle. Given a trigonometric function for an angle and the quadrant the angle lies in, find the remaining trigonometric functions. Graph the six trigonometric functions. Perform transformations (phase shifts, vertical and horizontal stretches and compressions, vertical shifts) on the graphs of the trigonometric functions Fit a sine or cosine equation to real-world data and how do you interpret that equation. Find the relationship between linear and angular velocities. Find the exact and/or approximate values of the inverse trigonometric functions. Find principle angles and others Establish an identity. Find exact trigonometric function values for non-traditional angles. Apply sum, difference, double angle, half-angle formulas Solve trigonometric equation for all solutions in the first

9 Test Applications of Trigonometry revolution. Solve a triangle using right triangle trig, law of sines, or law of cosines. Find the area of a triangle given any three parts. Find and analyze an equation for an object in simple harmonic motion.

10 3 rd Grading Period Days in Objectives Concept Key Concept Grading Period Applications of Trigonometry Continue Polar Coordinates and Vectors Convert between polar and rectangular coordinates. Graph polar equations on polar coordinates. Identify the graph of a polar equation from its rule. Operate with vectors. Identify direction and magnitude. Add and subtract graphically and algebraically. Use vectors and their properties to solve real-world problems involving navigation and force. Analytic Geometry Determine the graph of the conic from the equation. Identify key features of graphs of conics (vertices, foci, axes, asymptotes). Use the TI-83 to graph parametric equations. Write x and y position equations in terms of a parameter (usually time) Sequences, Binomial Theorem Recursive and explicit formulas compare and contrast. Define a series of points that converges or diverges Limits Graphical, numerical and algebraic representations of limits of a function Review and Final Exam

Northampton County Schools Algebra II Mathematics Pacing Guide

Northampton County Schools Algebra II Mathematics Pacing Guide Northampton County Schools Algebra II Mathematics 2009-2010 Pacing Guide Grading Periods Included 1 st Nine Weeks 2 nd Nine Weeks Northampton County Schools Department of Curriculum & Instruction 9-12

More information

Northampton County Schools Calculus Mathematics Pacing Guide

Northampton County Schools Calculus Mathematics Pacing Guide Northampton County Schools Calculus Mathematics 2008-2009 Pacing Guide Grading Periods Included 1 st SEMESTER 1 st Six Weeks 2 nd Six Weeks 3 rd Six Weeks Northampton County Schools Department of Curriculum

More information

Region 16 Board of Education. Precalculus Curriculum

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

More information

Algebra II Learning Targets

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

More information

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

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

More information

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

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

More information

NFC ACADEMY COURSE OVERVIEW

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

More information

Quantile Textbook Report

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

More information

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

Volusia County Mathematics Curriculum Map. Pre-Calculus. Course Number /IOD

Volusia County Mathematics Curriculum Map. Pre-Calculus. Course Number /IOD Volusia County Mathematics Curriculum Map Pre-Calculus Course Number 1202340/IOD Mathematics Department Volusia County Schools Revised June 9, 2012 Pre- Calculus Curriculum Map 120234/IOD COMPONENTS OF

More information

Curriculum Catalog

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

More information

Unit 1. Revisiting Parent Functions and Graphing

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

More information

Updated 09/15/04 Integrated Mathematics 4

Updated 09/15/04 Integrated Mathematics 4 Integrated Mathematics 4 Integrated Mathematics 4 provides students an advanced study of trigonometry, functions, analytic geometry, and data analysis with a problem-centered, connected approach in preparation

More information

Algebra and Trigonometry

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

More information

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

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

More information

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

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

More information

College Algebra & Trig w Apps

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

More information

STEM-Prep Pathway SLOs

STEM-Prep Pathway SLOs STEM-Prep Pathway SLOs Background: The STEM-Prep subgroup of the MMPT adopts a variation of the student learning outcomes for STEM from the courses Reasoning with Functions I and Reasoning with Functions

More information

HHS Pre-Calculus Reference Book

HHS Pre-Calculus Reference Book HHS Pre-Calculus Reference Book Purpose: To create a reference book to review topics for your final exam and to prepare you for Calculus. Instructions: Students are to compose a reference book containing

More information

PreCalculus. Curriculum (447 topics additional topics)

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

More information

WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM PRE-CALCULUS (June 2014)

WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM PRE-CALCULUS (June 2014) WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM PRE-CALCULUS (June 2014) COURSE NAME: Pre-Calculus UNIT: Chapter 1 NO. OF DAYS: KEY LEARNING (S): UNIT ESSENTIAL QUESTIONS: What methods are used to solve equations

More information

Utah Secondary Mathematics Core Curriculum Precalculus

Utah Secondary Mathematics Core Curriculum Precalculus A Correlation of Trigonometry Lial To the Utah Secondary Mathematics Core Curriculum Precalculus Resource Title: Trigonometry Publisher: Pearson Education Inc Publishing as Prentice Hall ISBN (10 or 13

More information

CURRICULUM GUIDE. Honors Algebra II / Trigonometry

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

More information

Dover-Sherborn High School Mathematics Curriculum Pre-Calculus Level 1/CP

Dover-Sherborn High School Mathematics Curriculum Pre-Calculus Level 1/CP Mathematics Curriculum A. DESCRIPTION This course is an extension of Algebra II with the emphasis in Trigonometry and introductory calculus topics. All major areas covered in Algebra II are reinforced

More information

CLEP EXAMINATION: Precalculus

CLEP EXAMINATION: Precalculus CLEP EXAMINATION: Precalculus DESCRIPTION OF THE EXAMINATION: The Precalculus examination assesses student mastery of skills and concepts required for success in a first-semester calculus course. A large

More information

DRAFT. Pre-calculus Curriculum Map Quarter 1 Chapters P 2. Extraneous Critical numbers Test intervals

DRAFT. Pre-calculus Curriculum Map Quarter 1 Chapters P 2. Extraneous Critical numbers Test intervals Quarter 1 Chapters P 2 Plot points in the coordinate plane and use distance and midpoint formulas. Sketch graphs of equations. Find and use slope of a line to write and graph linear equations. Solve equations:

More information

EASTERN ARIZONA COLLEGE Precalculus

EASTERN ARIZONA COLLEGE Precalculus EASTERN ARIZONA COLLEGE Precalculus Course Design 2015-2016 Course Information Division Mathematics Course Number MAT 187 Title Precalculus Credits 5 Developed by Adam Stinchcombe Lecture/Lab Ratio 5 Lecture/0

More information

Precalculus. Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw- Hill, ISBN:

Precalculus. Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw- Hill, ISBN: Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw- Hill, 2008. ISBN: 978-0-07-331263-7. Course Description This course provides a working

More information

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

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

More information

Instructional Calendar Accelerated Integrated Precalculus. Chapter 1 Sections and 1.6. Section 1.4. Section 1.5

Instructional Calendar Accelerated Integrated Precalculus. Chapter 1 Sections and 1.6. Section 1.4. Section 1.5 1 st Semester 32. Compare and contrast properties of functions within and across a variety of functions. -Tabular, Graphical, and Algebraic Representations of Functions -Domain and Range of Functions -Increasing,

More information

Chetek-Weyerhaeuser High School

Chetek-Weyerhaeuser High School Chetek-Weyerhaeuser High School Advanced Math A Units and s Advanced Math A Unit 1 Functions and Math Models (7 days) 10% of grade s 1. I can make connections between the algebraic equation or description

More information

College Algebra and Trigonometry

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

More information

Tennessee s State Mathematics Standards Precalculus

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

More information

Mr. Kelly s Algebra II Syllabus

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

More information

Pre Calculus Gary Community School Corporation Unit Planning Map

Pre Calculus Gary Community School Corporation Unit Planning Map UNIT/TIME FRAME STANDARDS Functions and Graphs (6 weeks) PC.F.1: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities,

More information

MATHEMATICAL ANALYSIS CURRICULUM GUIDE

MATHEMATICAL ANALYSIS CURRICULUM GUIDE MATHEMATICAL ANALYSIS CURRICULUM GUIDE Loudoun County Public Schools 2010-2011 Complete scope, sequence, pacing and resources are available on the CD and will be available on the LCPS Intranet. INTRODUCTION

More information

Secondary Honors Algebra II Objectives

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

More information

International Baccalaureate MYP Pacing Guide

International Baccalaureate MYP Pacing Guide International Baccalaureate MYP Pacing Guide Subject Area: Algebra II / Trigonometry Grade: 9,10,11,12 Year: 2012-2013 No. of Wk. 1 1.5 Unit title Preliminary topics in Algebra Absolute Value Equations

More information

Pre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives

Pre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives Pre-Calculus MATH 119 Fall 2013 Learning Objectives Section 1.1 1. Use the Distance Formula 2. Use the Midpoint Formula 4. Graph Equations Using a Graphing Utility 5. Use a Graphing Utility to Create Tables

More information

Pre-Calculus and Trigonometry Capacity Matrix

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

More information

Instructional Units Plan Algebra II

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

More information

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

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

More information

PRECALCULUS CURRICULUM GUIDE Overview and Scope & Sequence

PRECALCULUS CURRICULUM GUIDE Overview and Scope & Sequence PRECALCULUS CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools 2017-2018 (Additional curriculum information and resources for teachers can be accessed through CMS and VISION)

More information

COURSE OF STUDY MATHEMATICS

COURSE OF STUDY MATHEMATICS COURSE OF STUDY MATHEMATICS Name of Course: Honors PreCalculus Course Number: 341 Grade Level: 11 Length of Course: 180 Days Type of Offering: Academic Credit Value: 1 credit Prerequisite/s: Honors Geometry

More information

Precalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus

Precalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw-Hill, 2008. ISBN: 9780073312637 [This text is available as an etextbook at purchase

More information

Analysis of Functions

Analysis of Functions Volusia County Mathematics Department Curriculum Map Analysis of Functions Course Number 1201310 Mathematics Department Analysis of Functions Curriculum Map Volusia County Schools 1201310 Revision 8-01-12

More information

CUMBERLAND COUNTY SCHOOL DISTRICT BENCHMARK ASSESSMENT CURRICULUM PACING GUIDE

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

More information

CARLISLE AREA SCHOOL DISTRICT Carlisle, PA PRE-CALCULUS. GRADES 11 and 12

CARLISLE AREA SCHOOL DISTRICT Carlisle, PA PRE-CALCULUS. GRADES 11 and 12 CARLISLE AREA SCHOOL DISTRICT Carlisle, PA 17013 PRE-CALCULUS GRADES 11 and 12 Date of Board Approval: April 17, 2014 CARLISLE AREA SCHOOL DISTRICT PLANNED INSTRUCTION COVER PAGE TITLE OF SUBJECT: Math

More information

WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II

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

More information

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

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

More information

Course Catalog. Pre-calculus Glynlyon, Inc.

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

More information

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

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

More information

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

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

More information

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

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

More information

Prentice Hall: Algebra 2 with Trigonometry 2006 Correlated to: California Mathematics Content Standards for Algebra II (Grades 9-12)

Prentice Hall: Algebra 2 with Trigonometry 2006 Correlated to: California Mathematics Content Standards for Algebra II (Grades 9-12) California Mathematics Content Standards for Algebra II (Grades 9-12) This discipline complements and expands the mathematical content and concepts of algebra I and geometry. Students who master algebra

More information

Curriculum Catalog

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

More information

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

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

More information

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

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

More information

Precalculus AB Honors Pacing Guide First Nine Weeks Unit 1. Tennessee State Math Standards

Precalculus AB Honors Pacing Guide First Nine Weeks Unit 1. Tennessee State Math Standards Precalculus AB Honors Pacing Guide First Nine Weeks Unit 1 Revisiting Parent Functions and Graphing P.F.BF.A.1 Understand how the algebraic properties of an equation transform the geometric properties

More information

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions. Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.

More information

Dover- Sherborn High School Mathematics Curriculum Pre- Calculus CP 1

Dover- Sherborn High School Mathematics Curriculum Pre- Calculus CP 1 Dover- Sherborn High School Mathematics Curriculum Pre- Calculus CP 1 A. DESCRIPTION This course is an extension of Algebra II with the emphasis in Trigonometry and introductory calculus topics. All major

More information

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

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

More information

NFC ACADEMY COURSE OVERVIEW

NFC ACADEMY COURSE OVERVIEW NFC ACADEMY COURSE OVERVIEW Pre-calculus is a full-year, high school credit course that is intended for the student who has successfully mastered the core algebraic and conceptual geometric concepts covered

More information

RADNOR TOWNSHIP SCHOOL DISTRICT Course Overview Seminar Algebra 2 ( )

RADNOR TOWNSHIP SCHOOL DISTRICT Course Overview Seminar Algebra 2 ( ) RADNOR TOWNSHIP SCHOOL DISTRICT Course Overview Seminar Algebra 2 (05040430) General Information Prerequisite: Seminar Geometry Honors with a grade of C or teacher recommendation. Length: Full Year Format:

More information

PreCalculus Honors Curriculum Pacing Guide First Half of Semester

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

More information

Unit 1. Revisiting Parent Functions and Graphing

Unit 1. Revisiting Parent Functions and Graphing Unit 1 Revisiting Parent Functions and Graphing Revisiting Statistics (Measures of Center and Spread, Standard Deviation, Normal Distribution, and Z-Scores Graphing abs(f(x)) and f(abs(x)) with the Definition

More information

Algebra & Trigonometry for College Readiness Media Update, 2016

Algebra & Trigonometry for College Readiness Media Update, 2016 A Correlation of Algebra & Trigonometry for To the Utah Core Standards for Mathematics to the Resource Title: Media Update Publisher: Pearson publishing as Prentice Hall ISBN: SE: 9780134007762 TE: 9780133994032

More information

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

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

More information

PreCalculus. Curriculum (637 topics additional topics)

PreCalculus. Curriculum (637 topics additional topics) PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

CURRICULUM MAP. Course/Subject: Honors Math I Grade: 10 Teacher: Davis. Month: September (19 instructional days)

CURRICULUM MAP. Course/Subject: Honors Math I Grade: 10 Teacher: Davis. Month: September (19 instructional days) Month: September (19 instructional days) Numbers, Number Systems and Number Relationships Standard 2.1.11.A: Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots,

More information

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

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

More information

Algebra 2. Curriculum (384 topics additional topics)

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

More information

Homework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers.

Homework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers. Morgan County School District Re-3 A.P. Calculus August What is the language of algebra? Graphing real numbers. Comparing and ordering real numbers. Finding absolute value. September How do you solve one

More information

CURRICULUM PACING GUIDE GRADE/SUBJECT: Precalculus Vertical Alignment. 1st Nine Weeks 1

CURRICULUM PACING GUIDE GRADE/SUBJECT: Precalculus Vertical Alignment. 1st Nine Weeks 1 1st Nine Weeks 17 Days B. Exploring the Skills and Strategies Underlying Mathematics 1. Mathematical Processes Learned in the Context of Increasingly Complex Mathematical and Real-Word Problems a. Apply

More information

Seymour Public Schools Curriculum

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

More information

COWLEY COLLEGE & Area Vocational Technical School

COWLEY COLLEGE & Area Vocational Technical School COWLEY COLLEGE & Area Vocational Technical School COURSE PROCEDURE FOR TRIGONOMETRY MTH 4425 3 Credit Hours Student Level: This course is open to students on the college level in the freshman year. Catalog

More information

Revised 5/2017 DARUL ARQAM. 1st Quarter (43 Days)

Revised 5/2017 DARUL ARQAM. 1st Quarter (43 Days) 1st Quarter (4 Days) st 1 : Aug 9-11 ( days) st 1 : Aug 14-18 2 : Aug 21-25 rd : Aug 28-0 ( days) Lessons 1-5, 1-6, Ch:1 Review and Test Ch: 2 Lessons 2-1, 2-2 Lessons 2-, 2-4, 2-5 4 : Sep 6-8 (days) Welcome,

More information

NORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421

NORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421 NORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421 Units of Credit: 1.0 credits, honors weight Course Length: 184 days (full year) Course Overview This

More information

Pre-Calculus EOC Review 2016

Pre-Calculus EOC Review 2016 Pre-Calculus EOC Review 2016 Name The Exam 50 questions, multiple choice, paper and pencil. I. Limits 8 questions a. (1) decide if a function is continuous at a point b. (1) understand continuity in terms

More information

Pre-Calculus and Trigonometry Capacity Matrix

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

More information

Pearson Georgia High School Mathematics Advanced Algebra

Pearson Georgia High School Mathematics Advanced Algebra A Correlation of Pearson Georgia High School Mathematics Advanced Algebra 2014 to the Gwinnett County Academic Knowledge and Skills (AKS) Mathematics Table of Contents A - Process Skills... 1 C - Geometry...

More information

College Algebra To learn more about all our offerings Visit Knewton.com

College Algebra To learn more about all our offerings Visit Knewton.com College Algebra 978-1-63545-097-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Text Jay Abramson, Arizona State University

More information

Pacing Guide Algebra 1

Pacing Guide Algebra 1 Pacing Guide Algebra Chapter : Equations and Inequalities (one variable) Section Section Title Learning Target(s) I can. Evaluate and Simplify Algebraic Expressions. Evaluate and simplify numeric and algebraic

More information

School District of the Chathams

School District of the Chathams School District of the Chathams Curriculum Profile Program of Study: High School Mathematics Curriculum Course Title: Honors Precalculus Grade Level: Grade 11 I. Course Description Honors Precalculus is

More information

ESCONDIDO UNION HIGH SCHOOL DISTRICT COURSE OF STUDY OUTLINE AND INSTRUCTIONAL OBJECTIVES

ESCONDIDO UNION HIGH SCHOOL DISTRICT COURSE OF STUDY OUTLINE AND INSTRUCTIONAL OBJECTIVES ESCONDIDO UNION HIGH SCHOOL DISTRICT COURSE OF STUDY OUTLINE AND INSTRUCTIONAL OBJECTIVES COURSE TITLE: Algebra II A/B COURSE NUMBERS: (P) 7241 / 2381 (H) 3902 / 3903 (Basic) 0336 / 0337 (SE) 5685/5686

More information

Portable Assisted Study Sequence ALGEBRA IIB

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

More information

Utah Core State Standards for Mathematics - Precalculus

Utah Core State Standards for Mathematics - Precalculus A Correlation of A Graphical Approach to Precalculus with Limits A Unit Circle Approach 6 th Edition, 2015 to the Resource Title: with Limits 6th Edition Publisher: Pearson Education publishing as Prentice

More information

AP CALCULUS AB Study Guide for Midterm Exam 2017

AP CALCULUS AB Study Guide for Midterm Exam 2017 AP CALCULUS AB Study Guide for Midterm Exam 2017 CHAPTER 1: PRECALCULUS REVIEW 1.1 Real Numbers, Functions and Graphs - Write absolute value as a piece-wise function - Write and interpret open and closed

More information

Math Review for AP Calculus

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

More information

Mathematics AKS

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

More information

PRE-CALCULUS FORM IV. Textbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning.

PRE-CALCULUS FORM IV. Textbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning. PRE-CALCULUS FORM IV Tetbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning. Course Description: This course is designed to prepare students

More information

Accelerated Integrated Geometry Instructional Resource Calendar

Accelerated Integrated Geometry Instructional Resource Calendar 1 st Semester AKS/Topics Geometric concepts review. 1 week Handouts, review packets, Loaded on MOCC McDougal Littell Geometry Textbook MA2G1 Students will identify and use special right triangles.(20)

More information

SISD Unit Bundles of TEKS/SEs and Pacing Guide Algebra 2

SISD Unit Bundles of TEKS/SEs and Pacing Guide Algebra 2 SISD Unit Bundles of TEKS/SEs and Pacing Guide Algebra 2 UNIT 0 - Preparing for Advanced Algebra Estimated 6 Days TEKS Identify the domain and range of functions. Use the FOIL (First, Outside, Inside,

More information

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity

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

More information

PETERS TOWNSHIP HIGH SCHOOL

PETERS TOWNSHIP HIGH SCHOOL PETERS TOWNSHIP HIGH SCHOOL COURSE SYLLABUS: ALG EBRA 2 HONORS Course Overview and Essential Skills This course is an in-depth study of the language, concepts, and techniques of Algebra that will prepare

More information

PC.FT.3 Use special triangles to determine geometrically the values of sine, cosine, tangent for π 3, π 4, and π 6,

PC.FT.3 Use special triangles to determine geometrically the values of sine, cosine, tangent for π 3, π 4, and π 6, FIRST NINE WEEKS Text: Blitzer Pre-Calculus Chapters 4, 5, 6 Unit 1 Introduction to : Sections 4.1, 4.2, 4.3, 4.4 PC.FT.1 Understand that the radian measure of an angle is the length of the arc on the

More information

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity

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

More information

30. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. [F-TF]

30. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. [F-TF] Pre-Calculus Curriculum Map (Revised April 2015) Unit Content Standard Unit 1 Unit Circle 29. (+) Use special triangles to determine geometrically the values of sine, cosine, and tangent for and use the

More information

UNIT 3 MATHEMATICAL METHODS ALGEBRA

UNIT 3 MATHEMATICAL METHODS ALGEBRA UNIT 3 MATHEMATICAL METHODS ALGEBRA Substitution of Values Rearrangement and Substitution Polynomial Expressions Expanding Expressions Expanding Expressions by Rule Perfect Squares The Difference of Two

More information