Appendix 3 IB Diploma Programme Course Outlines


 Nathaniel Hutchinson
 4 years ago
 Views:
Transcription
1 Appendix 3 IB Diploma Programme Course Outlines The following points should be addressed when preparing course outlines for each IB Diploma Programme subject to be taught. Please be sure to use IBO nomenclature throughout. Name of the course: For example, English A1, HL. Math HL Course description: In two to three paragraphs, describe the course in terms of focus, purpose, aims and objectives, the inclusion of internationalism, the proposed process, and expected assessment. This should be a summary. Description Higher Level Mathematics is a demanding course designed for students who plan to use mathematics as a part of their future studies. The important concepts of rigor and proof are central to this course. Eight compulsory topics are included: Number and Algebra; Functions and Equations; Circular Functions and Trigonometry; Vector Geometry; Matrices and Transformations; Statistics; Probability; and Calculus. The additional topics where one is chosen will be Series and Differential Equations. IB Mathematics Higher Level: The highest level of IB math, this 2year course is designed for advanced students who are capable of a more rigorous course at an accelerated pace. The course emphasize a multirepresentational approach to higher level mathematics, with concepts, results, and problems being expressed geometrically, numerically, analytically, and verbally. Higher Level is intended not only to extend students' knowledge of function characteristics but also to introduce them to other modes of mathematical reasoning. Students enrolled in Higher Level are assumed to have mastered algebra, geometry, and precalculus. Internationalism Students will learn to appreciate the plethora of historical and cultural perspectives of mathematics by delving into the following: Differences and similarities in worldwide notation Historical impact of mathematicians Mathematics as a universal language Integrated, worldly approach to material taught. Teaching Time Classes meet on an alternating A/B block rotation for 90 minutes every other day. A two year approximation of instructional/contact time will be 180 days or 270 instructional/contact hours. Topics: In narrative or outline form, list what you will cover in your course to meet the IB syllabus requirements. In addition, if IB courses are going to be combined with AP or other curriculums, outlines should address additional nonib topics to be covered.
2 Topics 1.) Algebra Sequences and Series Exponents and Logarithms Counting Principles and the Binomial Theorem Proof by Mathematical Induction Complex Numbers The Complex Plane DeMoivre s Theorem Conjugate roots of polynomial equations 2.) Functions and Equations Concept of Functions and Domain and Range Composite Functions Graphs of Functions Use of GDC to graph and find asymptotes Transformations of graphs Graphs of absolute values and the Inverses of a function The reciprocal function Quadratic Functions Solutions of quadratics Power functions and the inverse of a power function Exponential and Logarithmic Functions Inequalities in one variable Polynomial Functions 3.) Circular Functions and Trigonometry The Unit Circle and Radians Area of a Sector Definition of all 6 trigonometric functions Pythagorean Identity Compound Angle Identities Double Angle Identities Graphs of trigonometric Functions and their Domain and Range Composite Trigonometric Functions Inverse Functions and their domains and range Solutions of Trigonometric functions in a finite interval Solutions of triangles using Law of Sines and Law of Cosines 4.) Matrices Definition of a matrix Algebra of Matrices Identity and Zero Matrices Determinants of a square matrix Inverse of a matrix Solutions of systems of linear equations 5.) Vectors Vectors as displacements in the plane and in three dimensions Components of a vector Sum and difference of two vectors Multiplication by a scalar Magnitude of a vector Unit vectors in 3dimensions Position vectors
3 Scalar Product of two vectors Perpendicular and Parallel vectors The angle between two vectors Vector equation of a line The angle between two lines Coincident, parallel, intersecting and skew lines and points of intersection The vector product of two vectors Determinant representation Areas of Triangles and Parallelograms Vector equation of a plane Use of normal vector Cartesian equation of a plane Intersection of a line with a plane, two planes, three planes and the angle between Inverse matrix method and row reduction for finding the intersection of three planes 6.) Statistics and Probability Concepts of Population, sample, random sample and frequency distribution of discrete and continuous data Frequency Tables, diagrams, box and whisker plots, histograms Mean, Median, Mode, quartiles, percentiles, Range Cumulative Frequency Concepts of Trial, outcome, sample space, and event Probability of and event and its complementary Combined Events Conditional Probablity and Independent events Bayes Theorem Use of Venn Diagrams, Tree diagrams and tables to solve problems Discrete and Continuous Random variables Probability Density functions Expected Value Binomial Distribution and Poisson Distribution Normal Distribution and Use of Calculator to find normal probablities 7.) Calculus Limit and Convergence Definition of the derivative Derivative of trigonometric, exponential, logarithmic, and power functions Derivatives of reciprocal trigonometric functions Derivatives of inverse trigonometric functions Chain Rule Differentiation of a sum and multiple functions Product and Quotient rules The second derivative Higher derivatives Local Maximum and Minimum points Use of Derivatives in optimization problems Indefinite integration of power functions, trigonometric functions, exponential functions, and reciprocal functions Antidifferentiation with a boundary condition to determine the constant Definite Integrals Area between curve and the x or y axis or between two curves Volumes of revolution Kinematic problems involving displacement, s, velocity, v, and acceleration, a Graphical behaviour of functions: tangents and normals
4 Points of inflection and significance of second derivative Implicit Differentiation Further Integration Integration by substitution Integration by parts Solution of first order differential equations by separation of variables 8.) Option: Series and Differential Equations Infinite sequences of real numbers Limit Theorems and n approaches infinity Limit of a Sequence Improper integrals The integral as a limit of a sum Convergence of infinite series Partial fractions Tests for convergence: comparison test, limit comparison test, ratio test, integral test The pseries Use of integrals to estimate sums of series Series that converge absolutely Series that converge conditionally Alternating series Power series: radius of convergence and interval of convergence Taylor polynomials and series, including the error term Maclaurin series for e x,sin x,cos x,arctan x,ln( 1+ x),( 1+ x) p The evaluation of limits using l Hopital s Rule and or the Taylor series First order differential equations: geometric interpretation using slope fields Numerical Solutions using Euler s method Homogeneous differential equation
5 Assessment: Knowledge of IBOrequired assessments and descriptors should be evident. All parts of IB assessment should be addressed, both internal and external. In addition, examples of nonib monitoring should be given, if they are part of the course. Internal Assessment Portfolio Mathematical investigation Mathematical Modelling External Assesment Paper 1 No calculator Paper 2 Calculator Paper 3 Option
6 Resources: List the books and other resource materials and software that will be used in the course. Information should include what is currently available as well as what is being ordered. Bruce M., Haese R., Haese S., Martin O., Owen J., Urban P. Mathematics HL (CORE). Haese and Harris Pub Bruce M., Haese R., Haese S., Martin O., Owen J., Urban P. Mathematics HL (Option). Haese and Harris Pub Buckle N., Dunbar I. Mathematics Higher Level (Core). IBID Press Stewart J. Single Variable Calculus 4 th edition. Brooks/Cole Pub
7 Teaching time: List all classroom teaching hours for each HL and SL course. HL/SL course HL Year One HL Year Two Teaching hours 135 Hours 135 Hours (add rows as necessary)
8 In addition: For group 1 subjects: Does the course provide adequate preparation in oral and written expression and in analytical and critical thought? List the works for language A1 and explain how these works reinforce internationalism. Does your list of works reflect the requirements of both genres and periods, as explained in the language A1 syllabus and in the prescribed booklist (PBL) for your language A1? Are there adequate materials, particularly in literature, criticism, and literary history?
9 For group 2 subjects: Does the course provide adequate preparation in oral and written expression and in analytical and critical thought? Is provision made for individual practice in speaking and listening over and above what is possible within regular class hours, whether through a language laboratory or by other means? Is each language level grouped appropriately, allowing the teachers to provide specialized, intense instruction for each group? Explain how the resources and themes chosen will highlight or reinforce internationalism. Is the school well stocked with general highinterest reading material at all levels of proficiency in the languages being offered? Does the school subscribe to newspapers and periodicals in the language(s) being offered for student and staff use?
10 For group 3 subjects: Where history will be offered at higher level, please indicate the regional option selected. Have the teachers organized appropriate optional topics for study where applicable? Does the course provide adequate preparation in oral and written expression and in analytical and critical thought? Explain how the topics chosen will be used to reinforce internationalism. Does the school subscribe to newspapers, periodicals, and current reference materials providing uptodate information, for both staff and student needs, relevant to the group 3 courses offered at the school? Where history will be offered at higher level, are there adequate reference materials in the library to support the study of the regional option, as well as to provide sources for indepth study?
11 For group 4 subjects: Have the teachers organized appropriate laboratory exercises and optional topics for study that conform to IBO requirements for the specific science course? Does the course provide adequate training in analytical and critical thought? Have science teachers collaborated and planned for the group 4 project? How do you envision that the methodology and resources with which the sciences are presented will enhance the international perspective of your students? Has there been an assessment of the laboratory facilities? Is there adequate instructional space for the group 4 courses? Are the science laboratories adequately equipped to perform those exercises required by the IB curriculum? Does the school subscribe to appropriate scientific periodicals and journals and maintain balanced, current and adequate stocks in the life and physical sciences?
12 For group 5 subjects: Does the course provide adequate training in analytical and critical thought? Have courses been sequenced to provide appropriate preparation for the various mathematics options and computer science? How do you envision the methodology and resources with which mathematics/computer science are presented will enhance the international perspective of your students? Does the classroom and/or library contain a variety of modern mathematics textbooks, technical reference materials and other supplementary instructional materials to support the course(s) in IB mathematics? Does the classroom and/or library contain sufficient materials to support the computer science courses?
13 For group 6 subjects: Are all group 6 courses adequately supported with materials and laboratory/studio space? Does the course outline adequately demonstrate that the school has prepared for the required internal assessments for the subject(s)?
14 For Theory of Knowledge: Is the TOK course designed to conform to IBO requirements in substance and classroom hours? Indicate the distribution of TOK topics over the two years of the IB Diploma Programme. Does the course provide adequate training in analytical and critical thought?
15 For all subjects: Has a thorough review of the available resource materials and equipment (both within the department and in the library/media centre) been conducted? Are instructional materials available in sufficient quality, quantity and variety to give effective support to the aims and methods of the courses? Are community resources used both within the classroom and as part of regular field trips? Are the needs and projected costs of acquiring all necessary materials and equipment for each subject group clearly stated? Is an international perspective included?
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: Prealgebra Algebra Precalculus Calculus Statistics
More informationPrecalculus 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 01 Sets There are no statemandated Precalculus 02 Operations
More informationNEW 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 informationGeorgia Department of Education Kathy Cox, State Superintendent of Schools 7/19/2005 All Rights Reserved 1
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
More informationSouth Carolina College and CareerReady (SCCCR) PreCalculus
South Carolina College and CareerReady (SCCCR) PreCalculus 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 informationThnkwell 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 informationPCHS 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
More informationAlgebra 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 informationMATH. 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 (FSAMAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices
More informationHigher 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 informationSequence of Mathematics Courses
Sequence of ematics Courses Where do I begin? Associates Degree and Nontransferable Courses (For math course below prealgebra, see the Learning Skills section of the catalog) MATH M09 PREALGEBRA 3 UNITS
More informationPHILOSOPHY OF THE MATHEMATICS DEPARTMENT
PHILOSOPHY OF THE MATHEMATICS DEPARTMENT The Lemont High School Mathematics Department believes that students should develop the following characteristics: Understanding of concepts and procedures Building
More informationHIGH 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
More informationPlease start the slide show from the beginning to use links. Click here for active links to various courses
Please start the slide show from the beginning to use links Click here for active links to various courses CLICK ON ANY COURSE BELOW TO SEE DESCRIPTION AND PREREQUISITES To see the course sequence chart
More informationMath 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
More informationAlgebra 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 informationCOURSE SYLLABUS PreCalculus A/B Last Modified: April 2015
COURSE SYLLABUS PreCalculus A/B Last Modified: April 2015 Course Description: In this yearlong PreCalculus course, students will cover topics over a two semester period (as designated by A and B sections).
More informationKEANSBURG 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. 447) Surveys and
More informationExpression. 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
More informationAlgebra 1 2008. Academic Content Standards Grade Eight and Grade Nine Ohio. Grade Eight. Number, Number Sense and Operations Standard
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
More informationAlgebra 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 reallife problem. algebraic expression  An expression with variables.
More informationMathematics (MAT) MAT 061 Basic Euclidean Geometry 3 Hours. MAT 051 PreAlgebra 4 Hours
MAT 051 PreAlgebra 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
More informationPRECALCULUS GRADE 12
PRECALCULUS GRADE 12 [C] Communication Trigonometry General Outcome: Develop trigonometric reasoning. A1. Demonstrate an understanding of angles in standard position, expressed in degrees and radians.
More informationBig 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 informationMATHEMATICS COURSES Grades 812 20152016
MATHEMATICS COURSES Grades 812 20152016 Calculus III H Calculus II H A.P. Calculus BC A.P. Statistics A.P. Calculus AB A.P. Calculus BC Algebra II H* PreCalculus H Calculus/Stats H A.P. Calculus AB
More informationAMSCO 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
More informationEssential 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
More informationBirmingham City Schools
Activity 1 Classroom Rules & Regulations Policies & Procedures Course Curriculum / Syllabus LTF Activity: Interval Notation (Precal) 2 PreAssessment 3 & 4 1.2 Functions and Their Properties 5 LTF Activity:
More informationPrentice Hall Algebra 2 2011 Correlated to: Colorado P12 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
More informationMathematics Georgia Performance Standards
Mathematics Georgia Performance Standards K12 Mathematics Introduction The Georgia Mathematics Curriculum focuses on actively engaging the students in the development of mathematical understanding by
More informationEstimated Pre Calculus Pacing Timeline
Estimated Pre Calculus Pacing Timeline 20102011 School Year The timeframes listed on this calendar are estimates based on a fiftyminute class period. You may need to adjust some of them from time to
More informationX 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
More informationGRADES 7, 8, AND 9 BIG IDEAS
Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for
More informationDRAFT. Further mathematics. GCE AS and A level subject content
Further mathematics GCE AS and A level subject content July 2014 s Introduction Purpose Aims and objectives Subject content Structure Background knowledge Overarching themes Use of technology Detailed
More informationMATHEMATICS (MATH) 3. Provides experiences that enable graduates to find employment in sciencerelated
194 / Department of Natural Sciences and Mathematics MATHEMATICS (MATH) The Mathematics Program: 1. Provides challenging experiences in Mathematics, Physics, and Physical Science, which prepare graduates
More informationMath 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.
Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used
More informationBookTOC.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 informationPrentice 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 informationMathematics INDIVIDUAL PROGRAM INFORMATION 2014 2015. 866.Macomb1 (866.622.6621) www.macomb.edu
Mathematics INDIVIDUAL PROGRAM INFORMATION 2014 2015 866.Macomb1 (866.622.6621) www.macomb.edu Mathematics PROGRAM OPTIONS CREDENTIAL TITLE CREDIT HOURS REQUIRED NOTES Associate of Arts Mathematics 62
More informationBiggar 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
More informationDear Accelerated PreCalculus Student:
Dear Accelerated PreCalculus Student: I am very excited that you have decided to take this course in the upcoming school year! This is a fastpaced, collegepreparatory mathematics course that will also
More informationDiablo Valley College Catalog 20142015
Mathematics MATH Michael Norris, Interim Dean Math and Computer Science Division Math Building, Room 267 Possible career opportunities Mathematicians work in a variety of fields, among them statistics,
More informationMathematics. GCSE subject content and assessment objectives
Mathematics GCSE subject content and assessment objectives June 2013 Contents Introduction 3 Subject content 4 Assessment objectives 11 Appendix: Mathematical formulae 12 2 Introduction GCSE subject criteria
More informationAP Calculus AB Syllabus
Course Overview and Philosophy AP Calculus AB Syllabus The biggest idea in AP Calculus is the connections among the representations of the major concepts graphically, numerically, analytically, and verbally.
More information04 Mathematics COSGFLD00403. Program for Licensing Assessments for Colorado Educators
04 Mathematics COSGFLD00403 Program for Licensing Assessments for Colorado Educators Readers should be advised that this study guide, including many of the excerpts used herein, is protected by federal
More informationHow To Learn Math At A Junior High
MATH DEPARTMENT COURSE DESCRIPTIONS The Mathematics Department provides a challenging curriculum that strives to meet the needs of a diverse student body by: Helping the student realize that the analytical
More informationAPPLIED MATHEMATICS ADVANCED LEVEL
APPLIED MATHEMATICS ADVANCED LEVEL INTRODUCTION This syllabus serves to examine candidates knowledge and skills in introductory mathematical and statistical methods, and their applications. For applications
More informationMarch 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 information096 Professional Readiness Examination (Mathematics)
096 Professional Readiness Examination (Mathematics) Effective after October 1, 2013 MISGFLD096M02 TABLE OF CONTENTS PART 1: General Information About the MTTC Program and Test Preparation OVERVIEW
More informationHow To Understand And Solve Algebraic Equations
College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGrawHill, 2008, ISBN: 9780072867381 Course Description This course provides
More informationAP Calculus BC. Course content and suggested texts and reference materials align with the College Board framework for AP Calculus BC.
AP Calculus BC Course Overview Topic Description AP Calculus BC Course Details In AP Calculus BC, students study functions, limits, derivatives, integrals, and infinite series This document details the
More informationCommon Core Unit Summary Grades 6 to 8
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity 8G18G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
More informationPrerequisites: TSI Math Complete and high school Algebra II and geometry or MATH 0303.
Course Syllabus Math 1314 College Algebra Revision Date: 82115 Catalog Description: Indepth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems
More informationMEMORANDUM. All students taking the CLC Math Placement Exam PLACEMENT INTO CALCULUS AND ANALYTIC GEOMETRY I, MTH 145:
MEMORANDUM To: All students taking the CLC Math Placement Eam From: CLC Mathematics Department Subject: What to epect on the Placement Eam Date: April 0 Placement into MTH 45 Solutions This memo is an
More informationMATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
More informationPreCalculus Semester 1 Course Syllabus
PreCalculus Semester 1 Course Syllabus The Plano ISD eschool Mission is to create a borderless classroom based on a positive studentteacher relationship that fosters independent, innovative critical
More informationMATH 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 noncourse based remediation in developmental mathematics. This structure will
More informationThe 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
More informationMATHS LEVEL DESCRIPTORS
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
More informationIn mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.
MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to
More informationMathematics PreTest Sample Questions A. { 11, 7} B. { 7,0,7} C. { 7, 7} D. { 11, 11}
Mathematics PreTest Sample Questions 1. Which of the following sets is closed under division? I. {½, 1,, 4} II. {1, 1} III. {1, 0, 1} A. I only B. II only C. III only D. I and II. Which of the following
More informationCurrent Standard: Mathematical Concepts and Applications Shape, Space, and Measurement Primary
Shape, Space, and Measurement Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two and threedimensional shapes by demonstrating an understanding of:
More informationPrentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)
New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct
More informationMath 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
More informationNew HigherProposed OrderCombined Approach. Block 1. Lines 1.1 App. Vectors 1.4 EF. Quadratics 1.1 RC. Polynomials 1.1 RC
New HigherProposed OrderCombined Approach Block 1 Lines 1.1 App Vectors 1.4 EF Quadratics 1.1 RC Polynomials 1.1 RC Differentiationbut not optimisation 1.3 RC Block 2 Functions and graphs 1.3 EF Logs
More informationAnchorage School District/Alaska Sr. High Math Performance Standards Algebra
Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,
More informationMATH 132: CALCULUS II SYLLABUS
MATH 32: CALCULUS II SYLLABUS Prerequisites: Successful completion of Math 3 (or its equivalent elsewhere). Math 27 is normally not a sufficient prerequisite for Math 32. Required Text: Calculus: Early
More informationSchool of Mathematics, Computer Science and Engineering. Mathematics* Associate in Arts Degree COURSES, PROGRAMS AND MAJORS
Mathematics School of Mathematics, Computer Science and Engineering Dean: Lianna Zhao, MD Academic Chair: Miriam Castroconde Faculty: Miriam Castroconde; Terry Cheng; Howard Dachslager, PhD; Ilknur Erbas
More informationAlgebra Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 201213 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 informationMathematics programmes of study: key stage 4. National curriculum in England
Mathematics programmes of study: key stage 4 National curriculum in England July 2014 Contents Purpose of study 3 Aims 3 Information and communication technology (ICT) 4 Spoken language 4 Working mathematically
More informationSection 1: How will you be tested? This section will give you information about the different types of examination papers that are available.
REVISION CHECKLIST for IGCSE Mathematics 0580 A guide for students How to use this guide This guide describes what topics and skills you need to know for your IGCSE Mathematics examination. It will help
More informationContent. Chapter 4 Functions 61 4.1 Basic concepts on real functions 62. Credits 11
Content Credits 11 Chapter 1 Arithmetic Refresher 13 1.1 Algebra 14 Real Numbers 14 Real Polynomials 19 1.2 Equations in one variable 21 Linear Equations 21 Quadratic Equations 22 1.3 Exercises 28 Chapter
More informationFigure 1.1 Vector A and Vector F
CHAPTER I VECTOR QUANTITIES Quantities are anything which can be measured, and stated with number. Quantities in physics are divided into two types; scalar and vector quantities. Scalar quantities have
More informationMathematics. Mathematics MATHEMATICS. 298 201516 Sacramento City College Catalog. Degree: A.S. Mathematics AST Mathematics for Transfer
MATH Degree: A.S. AST for Transfer Division of /Statistics & Engineering Anne E. Licciardi, Dean South Gym 220 9165582202 Associate in Science Degree Program Information The mathematics program provides
More informationSAN DIEGO COMMUNITY COLLEGE DISTRICT CITY COLLEGE ASSOCIATE DEGREE COURSE OUTLINE
MATH 098 CIC Approval: BOT APPROVAL: STATE APPROVAL: EFFECTIVE TERM: SAN DIEGO COMMUNITY COLLEGE DISTRICT CITY COLLEGE ASSOCIATE DEGREE COURSE OUTLINE SECTION I SUBJECT AREA AND COURSE NUMBER: Mathematics
More informationAlgebra II. Weeks 13 TEKS
Algebra II Pacing Guide Weeks 13: Equations and Inequalities: Solve Linear Equations, Solve Linear Inequalities, Solve Absolute Value Equations and Inequalities. Weeks 46: Linear Equations and Functions:
More informationAdministrative  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 informationGeometry Course Summary Department: Math. Semester 1
Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give
More informationMATH 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 2:15pm3:20pm Office Room: MC38 Office Phone: (310)4348673 Email: rodas brian@smc.edu Office Hours:
More informationOxford Cambridge and RSA Examinations
Oxford Cambridge and RSA Examinations OCR FREE STANDING MATHEMATICS QUALIFICATION (ADVANCED): ADDITIONAL MATHEMATICS 6993 Key Features replaces and (MEI); developed jointly by OCR and MEI; designed for
More informationSyllabus MAC1147 PreCalculus Algebra and Trigonometry
Syllabus MAC1147 PreCalculus Algebra and Trigonometry Term: SUMMER B 20093 Reference #: 569147 Instructor s Name: LunYi Tsai Email: ltsai@mdc.edu Office: Math Lab, Room # 2223 Mailbox: Math Lab, Room
More informationMATHEMATICS MATHEMATICS
MATHEMATICS MATHEMATICS 1 443 This course stresses the development of arithmetic skills and emphasizes concepts as well as computation. Proficiency is developed with each of the fundamental operations.
More informationStudent Performance Q&A:
Student Performance Q&A: 2008 AP Calculus AB and Calculus BC FreeResponse Questions The following comments on the 2008 freeresponse questions for AP Calculus AB and Calculus BC were written by the Chief
More informationWeek 13 Trigonometric Form of Complex Numbers
Week Trigonometric Form of Complex Numbers Overview In this week of the course, which is the last week if you are not going to take calculus, we will look at how Trigonometry can sometimes help in working
More informationNumber 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
More informationAlgebra 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 informationFOREWORD. Executive Secretary
FOREWORD The Botswana Examinations Council is pleased to authorise the publication of the revised assessment procedures for the Junior Certificate Examination programme. According to the Revised National
More informationCURRICULUM FOR THE COMMON CORE SUBJECT OF MATHEMATICS
CURRICULUM FOR THE COMMON CORE SUBJECT OF Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research
More informationCRLS 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
More informationMath 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
More informationMATHEMATICS Department Chair: Michael Cordova  mccordova@dcsdk12.org
MATHEMATICS Department Chair: Michael Cordova  mccordova@dcsdk12.org Course Offerings Grade 9 Algebra I Algebra II/Trig Honors Geometry Honors Geometry Grade 10 Integrated Math II (20142015 only) Algebra
More informationTExMaT I Texas Examinations for Master Teachers. Preparation Manual. 088 Master Mathematics Teacher 4 8
TExMaT I Texas Examinations for Master Teachers Preparation Manual 088 Master Mathematics Teacher 4 8 Copyright 2006 by the Texas Education Agency (TEA). All rights reserved. The Texas Education Agency
More informationTrigonometric Functions and Equations
Contents Trigonometric Functions and Equations Lesson 1 Reasoning with Trigonometric Functions Investigations 1 Proving Trigonometric Identities... 271 2 Sum and Difference Identities... 276 3 Extending
More informationTeacher Questionnaire
Identification Label Teacher Name: Class Name: Teacher ID: Teacher Link # Teacher Questionnaire Advanced Mathematics International Association for
More informationMath 1B Syllabus. Course Description. Text. Course Assignments. Exams. Course Grade
Course Description Math 1B Syllabus This PreCalculus 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
More informationExtra 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
More informationPrentice Hall Connected Mathematics 2, 7th Grade Units 2009
Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Grade 7 C O R R E L A T E D T O from March 2009 Grade 7 Problem Solving Build new mathematical knowledge through problem solving. Solve problems
More informationPreAlgebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems
Academic Content Standards Grade Eight Ohio PreAlgebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small
More informationCourse 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,
More information