AP Calculus AB Course

Size: px
Start display at page:

Download "AP Calculus AB Course"

Transcription

1 AP Calculus AB Course Course Design and Philosophy It is my belief that students gain a deeper understanding of mathematics if they have a solid conceptual basis before learning the mechanics needed to solve problems. The four major areas of study are limits, derivatives, indefinite integrals, and definite integrals. The concepts in each of these areas are first developed by examining the how and the why behind each idea or theorem, and through examining multiple representations (graphical, numeric, and symbolic) of each. The supporting skills are then discovered and/or explained and connections to and between the concepts are stressed. You will then be able figure out how to apply each concept to a variety of problems. This cycle of learning repeats throughout the course and should help you gain an appreciation for the beauty of calculus. Needed Materials Calculus Book: Calculus of a Single Variable, 4 th Edition Graphing Calculator: TI-84, TI-84+ or TI Inspire. AP Calculus AB Course Summer Assignments Read the article Prologue: What is Calculus? Read and study Chapter 1 from the text a section at a time. Read everything, including the stuff in the margins. The Notes Ch 1 Prerequisites for Calc AP have much of what you need to know, and do, in them. The books examples are easy to follow so use them as examples as you are working through the exercises. Use the notes and other Additional Resources provided to help you review the major skills and concepts from Algebra, Geometry and Trigonometry. On the non-calculator portion of the AP test, you are not permitted notecards so you will need to memorize important facts and procedures. If you know the concepts behind these, and the how and why, it will be easy to accomplish this. After you are sure that you will remember the material in a section, on separate sheets of paper, complete that section from the assignment list from the book. All work must be shown! Please circle your final answers. Keep assignments clearly labeled with section, page number, and problem numbers. Leave a little space around each problem in case we, or I, need to add some notes. I also have included some worksheets in your packet to give you practice with some of the skills the book doesn t review. The following assignments need to be mailed to me by the due dates shown below. I will check, grade and write notes on them for you so that you can correct your mistakes as you review. These assignments will count as homework assignments for the 1 st quarter. I will answer any further questions you may still have when we return to school. When we return to school, we will spend a very short period of time reviewing the summer assignments. Then we will have our Chapter 1 Exam. It is essential that we have a firm grip on these algebraic and trigonometric topics before we start into Calculus. Lack of knowledge and poor skills in algebra, geometry and trig cause more problems in learning Calculus that the Calculus itself. So, if you have questions make note of them and work on avoiding the silly mistakes (sign errors, computational errors, etc ) Use the following as a check list to make sure you are completing the assignments that you need to complete over the summer. Complete them in the order listed.

2 Note: Answers to odd-numbered exercises are in the back of the book, So if you can t get an evennumbered problem, try a similar looking odd-numbered problem first. Since having very good algebra skills is very important to solving calculus problems, these first two additional resources deal with refreshing and refining some of your algebra skills. You may want to work back and forth between the notes and the assignments. DO IT TO KNOW IT AND WELL! Study Notes General Concepts Do worksheet Getting Warmed Up Chapter 1: Preparation for Calculus (You will now be working from the book.) Section 1.1 Graphs and Models You probably know most of this really well already and you need to know this really well!! It is important that you are able to examine all concepts from multiple perspectives (situational, graphical, numeric, and symbolic) so don t skip the stuff in the margins. Also, we will be using the graphing calculators frequently to explore concepts and to solve problems. So review the procedures needed on the graphing calculators as you go through problems analytically (using algebra procedures). Read pages 2 7: Graphs by point plotting. Intercepts. Symmetry (y-axis, x-axis and origin). Know the analytic tests as well as the graphical representation. Sketching using intercepts and symmetry. Check your sketches on the calculator. Finding points of intersections. Math Models from scatterplots. Notes Ch 1 Prerequisites for Calc AP page 1. This lists the calculator procedures you will need. Do Page 8 9. DO NOT use a calculator to complete the problem unless the instructions have the graphing utility symbol next to them. You may use the calculator to check your answers. #1 4 match eqn. to graph. #7, 9, 11, 14 graph by point plotting. You should also use your knowledge about the shape of the functions. #20, 21, x- and y-intercepts. #27, 29, 30, 34, 35, 37 symmetry. Use the tests! #40, 44, 48, 50, 52, 54, 55, 60 sketch graph. Use intercepts, symmetry and your knowledge about the shape. #63, 68, 70, 72 points of intersection. #73, 75 models #77, 81, 83, 84 misc. On #83 & 84, see if you can find a formula for the intercepts. Section 1.2 Linear Models and Rates of Change Again, you probably know most of this and you need to!! Really try to get the concept that slope and rate of change are basically the same thing. Pay close attention to the use of point-slope

3 form for a line. It will be used more often than the slope-intercept form. Don t forget to carefully examine the margins and explorations. Read pages 10 15: Slope of a line. Equations of Lines: point-slope form and slope-intercept form. Know both! General form not used so much but standard form Ax + By = C where A and B are not both zero is used frequently. Ratios and Rates of Change. The units will means a lot here! Pay close attention to them! Parallel and Perpendicular Lines. Pay close attention to the STUDY TIP and the TECHNOLOGY PITFALL! Notes Ch 1 Prerequisites for Calc AP page 2. Do Page DO NOT use a calculator to complete the problem unless the instructions have Note copies of graphs are on the website #2, 5 slope from graph. #10 13 plot points & find slope. #19, 22 slope applications. #24, 25 slope & y-intercept! #30, 32, 33, 36, 39, 41, 44, 46 write the equation for the line. Answering in Point-slope form is fine. #49, 50, 53, 56 sketch a graph of the line. #59, 62, 64 equations of parallel and perpendicular lines. #70 equation through intersection points. #72 collinear points? #77, 79, 82 applications #84 tangent line to a circle. Remember: tangent is perpendicular to the radius at the point of tangency. Section 1.3 Functions and Their Graphs This is an extremely important section! Know all terms, concepts, procedures and notations!! Also, you must know how to graph many different types of functions with out a calculator, accurately and quickly!! Some of the notation may be new and you will need to read and write with it, so pay close attention to the notation, especially the interval notation that is in the Notes for Ch 1! Read pages 19 26: Function and Function Notation. Including real numbers, domain & range, implicit & explicit, dependent & independent, and evaluate. Finding domain & range. Study procedures and understand the underlying concepts. Includes one-to-one function. The Graph of a Function. Know the vertical line test and all of the basic shapes and characteristics of the basic functions. Transformations of Functions. Know how to transform any basic function to fit. See the packet New Functions from Transformations. Classifications and Combinations of Functions. Know categories (algebraic, trigonometric, exponential & logarithmic), transcendental; leading coefficient test & constant term; composite functions; even & odd functions. Packet New Functions from Transformations. This is the BEST resource I have ever found to help you understand transformations. Spend some time with this!

4 Notes Ch 1 Prerequisites for Calc AP pages 3 8. Do Page DO NOT use a calculator to complete the problem unless the instructions have Note copies of graphs are on the website #2 domain, range and solutions from graph #5, 7, 9, 10, 11 evaluate and simplify #13, 14, 18 find domain & range #20, 21, 24 find domain #26, 28 evaluate, find domain & range (piecewise) #29, 30 write piecewise functions, given the graph #33, 34, 35, 37, 38 sketch graph, find domain & range #41 44, 45, 48 Is the relation a function? #49 54 match function to transformed graph #55, 56 given a graph, sketch the transformed graphs #59, 61, 63, 65, 66 composites #69, 71, 75, 76 even, odd or neither #79, 80 writing functions #81 84 match function to table #86, 87, 95 applications # true or false (Be sure to fully explain!) More Worksheet Function Frenzy This is additional practice for the material covered in this section. There are no additional practice problems for sketching from equations without the calculator, so quiz yourself by making up an equation, graphing it by hand and checking it on your graphing calculator. You should be able to graph, just about anything without the calculator! Notes and worksheet Characteristics of Rational Functions. This will be really important! Make sure you really know this stuff! Study the notes first and memorize it, then try applying it. 1.4 Fitting Models to Data Read pages 31 33: Fitting a Linear Model to Data. Fitting a Quadratic Model to Data. Fitting Trigonometric Model to Data. Notes Ch 1 Prerequisites for Calc AP page 8. Do Page USE a calculator to complete most of the problems. #1 4 choose model from scatterplot #6, 8, 10, 13, 18 application problems 1.5 Inverse Functions Read pages 37 43: Inverse Functions Everything in this section is important, don t forget the Exploration and example here! Existence of an Inverse Function Refer back to the definition of a one-to-one function on page 21 before beginning this. Example 2 part a shows how to verify. The idea is that if the y-values are the same for two different x s, then to be one-to-one, the x values must be the same. Also see the guidelines. On Example 3, it is easier to interchange the x and y first and then solve for y.

5 Inverse Trigonometric Functions Again, everything in this section is important! Look at the last two pages of the Trig Toolkit for a review and summary of the functions and their graphs. Look at the first page to review function values. Notations differ for inverse trig functions so know both (arcsin and sin -1 ). Study the examples carefully!! Notes Ch 1 Prerequisites for Calc AP page 8. Trig Toolkit pages 1, 3 & 4 I am giving you a Trigonometric Toolkit which contains every thing you will ever need to know about trigonometry. (The boxes that have dimmed headings are not frequently used, page 2.) You will need to memorize most of the facts on these sheets, if you haven t already, so start to try to recall facts before you look them up. I tried to organize the information so that you can start seeing patterns and connections between the concepts. This should help you with the memorization process. Do Page DO NOT use a calculator to complete the problem unless the instructions have #1, 4, 5, 8 use composites (show g o f = f o g = x ) and rough sketch the graph #9 12 just match #14, 15 graph carefully #18, 20, 22 rough sketch graph with the equation #23, 25, 28 try to picture the graph to determine one-to-one #29, 32, 36 good graphs are needed here, label key points & watch limited domains! #39, 41, 42 remember to switch x and y and solve for y for the inverse #43 table for inverse, find table for function 1 st #46 application #53, 55, 56, 58 you may graph and use the horizontal line test on these #59, 61 use the horizontal line test on these and don t forget to find the inverse function #67, 69, 70, 71 DON T find the inverse function, just use the values #77 80 show how you got these #81 #84 graph carefully #87 use trig toolkit to help if needed #89, 91, 94, 96 use Example 5 and trig toolkit to help #98, 99 make sure you are in radian mode! #104, 105 fully explain (you may use examples to help) #108 # , 114, 116 see Example 7 for help. #117, 120 hint: take the sine or cosine of both sides #122 hint: point of intersection is given by arcsin x arcos x = 0, then solve #123, 124, 126, 130, 131 hint use right triangles! #137, 140 use basic shape and transformations #145, 148, 149, Exponential and Logarithmic Functions Read pages 49 54: Exponential Functions Know your properties and know key characteristics of the graphs of these. Know that it is not nice to leave negative exponents in your answers, so make sure your answers have positive exponents only. The number e Get the general idea in Example 3, don t stress over it. Know key characteristics of the graphs of e x. The Natural Logarithmic Function Focus on the inverse idea and know key characteristics of the graphs of ln x.

6 Properties of Logarithms Understand the connections between the exponent properties and the logarithmic properties. Follow the examples, but if you need more help, look at the Ch 1 Notes and do the Exponential and Logs Worksheet first. Notes Ch 1 Prerequisites for Calc AP page Great property summary sheet and many additional examples for working with exponents and logs. Exponential and Logs Worksheet It includes all bases so it is good extra practice! Do Page DO NOT use a calculator to complete the problem unless the instructions have #2, 3, 6 use exponent properties #8, 9, 12, 14, 15 solve by using exponent properties #20, 21, 26, 27 use basic characteristics and transformations #31 38 match graphs to the equations #39 use the given points to help you & test it on the calculator #41, 43 re-write #46, 49, 50 use basic characteristics and transformations #55, 58 show all steps and sketch graphs #59, 61, 62 apply inverse properties #65 you may only use the decimal approximations given #68 numerous explanations are possible #71, 72, 73, 75, 78, 79 expand logs using properties #81, 82, 84, 85 condense logs using properties #88, 89, 92, 93 solve using techniques from the book & notes #95 confirm this for themselves What is due and When? Getting Warmed Up and Sections 1.1 through 1.3 problems and worksheets need to reach me by July 28 th. Sections 1.4 through 1.6 problems and worksheets need to reach me by August 21 th. If you have any problems meeting these due dates, please contact me ASAP! Please do not send these assignments to the school. My summer address is S. Stirling 2038 Susquehanna Road Abington, PA Call my cell phone: if you need to reach me. sstirling@palisadessd.org Please do not share this personal information with any other students. I am giving it to you so that you can contact me over the summer. This is only for you, my AP students! Have a great summer and please do not hesitate to call if you need me, believe it or not, I tutor well over the phone. Thanks for taking on the AP challenge. I m looking forward to a great class with all of you. Thanks! Ms. Stirling

7 Please fill out this student information paper, and return it to me before you leave for the summer so that I can reach you if I need to. AP Calculus Name Book #: Summer Address Last math class taken: Teacher: Approximate final grade: Phone number(s) Please indicate home or cell. address: (Very Important!! So I can send you stuff if you need it!!) Concerns, if any:

AP Calculus AB. Nevada Academic Standards that are assessable at the local level only.

AP Calculus AB. Nevada Academic Standards that are assessable at the local level only. Calculus AB Priority Keys Aligned with Nevada Standards MA I MI L S MA represents a Major content area. Any concept labeled MA is something of central importance to the entire class/curriculum; it is a

More information

Syllabus ENGR 190 Introductory Calculus (QR)

Syllabus ENGR 190 Introductory Calculus (QR) Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.

More information

Mathematics. Mathematics

Mathematics. Mathematics Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in

More information

Math 150 Syllabus Course title and number MATH 150 Term Fall 2017 Class time and location INSTRUCTOR INFORMATION Name Erin K. Fry Phone number Department of Mathematics: 845-3261 e-mail address erinfry@tamu.edu

More information

Mathematics subject curriculum

Mathematics subject curriculum Mathematics subject curriculum Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research on 24 June

More information

TabletClass Math Geometry Course Guidebook

TabletClass Math Geometry Course Guidebook TabletClass Math Geometry Course Guidebook Includes Final Exam/Key, Course Grade Calculation Worksheet and Course Certificate Student Name Parent Name School Name Date Started Course Date Completed Course

More information

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic

More information

Math 96: Intermediate Algebra in Context

Math 96: Intermediate Algebra in Context : Intermediate Algebra in Context Syllabus Spring Quarter 2016 Daily, 9:20 10:30am Instructor: Lauri Lindberg Office Hours@ tutoring: Tutoring Center (CAS-504) 8 9am & 1 2pm daily STEM (Math) Center (RAI-338)

More information

Pre-AP Geometry Course Syllabus Page 1

Pre-AP Geometry Course Syllabus Page 1 Pre-AP Geometry Course Syllabus 2015-2016 Welcome to my Pre-AP Geometry class. I hope you find this course to be a positive experience and I am certain that you will learn a great deal during the next

More information

Statewide Framework Document for:

Statewide Framework Document for: Statewide Framework Document for: 270301 Standards may be added to this document prior to submission, but may not be removed from the framework to meet state credit equivalency requirements. Performance

More information

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 Title: Precalculus Catalog Number: MATH 190 Credit Hours: 3 Total Contact Hours: 45 Instructor: Gwendolyn Blake Email: gblake@smccme.edu Website:

More information

Honors Mathematics. Introduction and Definition of Honors Mathematics

Honors Mathematics. Introduction and Definition of Honors Mathematics Honors Mathematics Introduction and Definition of Honors Mathematics Honors Mathematics courses are intended to be more challenging than standard courses and provide multiple opportunities for students

More information

Mathematics Assessment Plan

Mathematics Assessment Plan Mathematics Assessment Plan Mission Statement for Academic Unit: Georgia Perimeter College transforms the lives of our students to thrive in a global society. As a diverse, multi campus two year college,

More information

Math 181, Calculus I

Math 181, Calculus I Math 181, Calculus I [Semester] [Class meeting days/times] [Location] INSTRUCTOR INFORMATION: Name: Office location: Office hours: Mailbox: Phone: Email: Required Material and Access: Textbook: Stewart,

More information

Instructor: Matthew Wickes Kilgore Office: ES 310

Instructor: Matthew Wickes Kilgore Office: ES 310 MATH 1314 College Algebra Syllabus Instructor: Matthew Wickes Kilgore Office: ES 310 Longview Office: LN 205C Email: mwickes@kilgore.edu Phone: 903 988-7455 Prerequistes: Placement test score on TSI or

More information

Math 098 Intermediate Algebra Spring 2018

Math 098 Intermediate Algebra Spring 2018 Math 098 Intermediate Algebra Spring 2018 Dept. of Mathematics Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: MyMathLab Course ID: Course Description This course expands on the

More information

Grade 6: Correlated to AGS Basic Math Skills

Grade 6: Correlated to AGS Basic Math Skills Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and

More information

Foothill College Summer 2016

Foothill College Summer 2016 Foothill College Summer 2016 Intermediate Algebra Math 105.04W CRN# 10135 5.0 units Instructor: Yvette Butterworth Text: None; Beoga.net material used Hours: Online Except Final Thurs, 8/4 3:30pm Phone:

More information

SAT MATH PREP:

SAT MATH PREP: SAT MATH PREP: 2015-2016 NOTE: The College Board has redesigned the SAT Test. This new test will start in March of 2016. Also, the PSAT test given in October of 2015 will have the new format. Therefore

More information

GUIDE TO THE CUNY ASSESSMENT TESTS

GUIDE TO THE CUNY ASSESSMENT TESTS GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev. 117.016110 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1

More information

MAT 122 Intermediate Algebra Syllabus Summer 2016

MAT 122 Intermediate Algebra Syllabus Summer 2016 Instructor: Gary Adams Office: None (I am adjunct faculty) Phone: None Email: gary.adams@scottsdalecc.edu Office Hours: None CLASS TIME and LOCATION: Title Section Days Time Location Campus MAT122 12562

More information

Julia Smith. Effective Classroom Approaches to.

Julia Smith. Effective Classroom Approaches to. Julia Smith @tessmaths Effective Classroom Approaches to GCSE Maths resits julia.smith@writtle.ac.uk Agenda The context of GCSE resit in a post-16 setting An overview of the new GCSE Key features of a

More information

MTH 141 Calculus 1 Syllabus Spring 2017

MTH 141 Calculus 1 Syllabus Spring 2017 Instructor: Section/Meets Office Hrs: Textbook: Calculus: Single Variable, by Hughes-Hallet et al, 6th ed., Wiley. Also needed: access code to WileyPlus (included in new books) Calculator: Not required,

More information

Penn State University - University Park MATH 140 Instructor Syllabus, Calculus with Analytic Geometry I Fall 2010

Penn State University - University Park MATH 140 Instructor Syllabus, Calculus with Analytic Geometry I Fall 2010 Penn State University - University Park MATH 140 Instructor Syllabus, Calculus with Analytic Geometry I Fall 2010 There are two ways to live: you can live as if nothing is a miracle; you can live as if

More information

Mathematics process categories

Mathematics process categories Mathematics process categories All of the UK curricula define multiple categories of mathematical proficiency that require students to be able to use and apply mathematics, beyond simple recall of facts

More information

Exploring Derivative Functions using HP Prime

Exploring Derivative Functions using HP Prime Exploring Derivative Functions using HP Prime Betty Voon Wan Niu betty@uniten.edu.my College of Engineering Universiti Tenaga Nasional Malaysia Wong Ling Shing Faculty of Health and Life Sciences, INTI

More information

Characteristics of Functions

Characteristics of Functions Characteristics of Functions Unit: 01 Lesson: 01 Suggested Duration: 10 days Lesson Synopsis Students will collect and organize data using various representations. They will identify the characteristics

More information

Cal s Dinner Card Deals

Cal s Dinner Card Deals Cal s Dinner Card Deals Overview: In this lesson students compare three linear functions in the context of Dinner Card Deals. Students are required to interpret a graph for each Dinner Card Deal to help

More information

Technical Manual Supplement

Technical Manual Supplement VERSION 1.0 Technical Manual Supplement The ACT Contents Preface....................................................................... iii Introduction....................................................................

More information

CAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4-Year Subgroup: none Test Date: Spring 2011

CAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4-Year Subgroup: none Test Date: Spring 2011 CAAP Content Analysis Report Institution Code: 911 Institution Type: 4-Year Normative Group: 4-year Colleges Introduction This report provides information intended to help postsecondary institutions better

More information

Afm Math Review Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database

Afm Math Review Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database Afm Math Free PDF ebook Download: Afm Math Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database C++ for Game Programming with DirectX9.0c and Raknet. Lesson 1.

More information

Math Techniques of Calculus I Penn State University Summer Session 2017

Math Techniques of Calculus I Penn State University Summer Session 2017 Math 110 - Techniques of Calculus I Penn State University Summer Session 2017 Instructor: Sergio Zamora Barrera Office: 018 McAllister Bldg E-mail: sxz38@psu.edu Office phone: 814-865-4291 Office Hours:

More information

The Indices Investigations Teacher s Notes

The Indices Investigations Teacher s Notes The Indices Investigations Teacher s Notes These activities are for students to use independently of the teacher to practise and develop number and algebra properties.. Number Framework domain and stage:

More information

UNIT ONE Tools of Algebra

UNIT ONE Tools of Algebra UNIT ONE Tools of Algebra Subject: Algebra 1 Grade: 9 th 10 th Standards and Benchmarks: 1 a, b,e; 3 a, b; 4 a, b; Overview My Lessons are following the first unit from Prentice Hall Algebra 1 1. Students

More information

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview Algebra 1, Quarter 3, Unit 3.1 Line of Best Fit Overview Number of instructional days 6 (1 day assessment) (1 day = 45 minutes) Content to be learned Analyze scatter plots and construct the line of best

More information

Ghanaian Senior High School Students Error in Learning of Trigonometry

Ghanaian Senior High School Students Error in Learning of Trigonometry OPEN ACCESS INTERNATIONAL JOURNAL OF ENVIRONMENTAL & SCIENCE EDUCATION 2017, VOL. 12, NO. 8, 1709-1717 Ghanaian Senior High School Students Error in Learning of Trigonometry Farouq Sessah Mensah a a University

More information

Answer Key Applied Calculus 4

Answer Key Applied Calculus 4 Answer Key Applied Calculus 4 Free PDF ebook Download: Answer Key 4 Download or Read Online ebook answer key applied calculus 4 in PDF Format From The Best User Guide Database CALCULUS. FOR THE for the

More information

Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice

Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Title: Considering Coordinate Geometry Common Core State Standards

More information

AP Statistics Summer Assignment 17-18

AP Statistics Summer Assignment 17-18 AP Statistics Summer Assignment 17-18 Welcome to AP Statistics. This course will be unlike any other math class you have ever taken before! Before taking this course you will need to be competent in basic

More information

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Curriculum Overview Mathematics 1 st term 5º grade - 2010 TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Multiplies and divides decimals by 10 or 100. Multiplies and divide

More information

Janine Williams, Mary Rose Landon

Janine Williams, Mary Rose Landon TI-nspire Activity Janine Williams, Mary Rose Landon Course Level: Advanced Algebra, Precalculus Time Frame: 2-3 regular (45 min.) class sessions Objectives: Students will... 1. Explore the Unit Circle,

More information

Bittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley.

Bittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley. Course Syllabus Course Description Explores the basic fundamentals of college-level mathematics. (Note: This course is for institutional credit only and will not be used in meeting degree requirements.

More information

Algebra 2- Semester 2 Review

Algebra 2- Semester 2 Review Name Block Date Algebra 2- Semester 2 Review Non-Calculator 5.4 1. Consider the function f x 1 x 2. a) Describe the transformation of the graph of y 1 x. b) Identify the asymptotes. c) What is the domain

More information

Mathematics Success Level E

Mathematics Success Level E T403 [OBJECTIVE] The student will generate two patterns given two rules and identify the relationship between corresponding terms, generate ordered pairs, and graph the ordered pairs on a coordinate plane.

More information

Alignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program

Alignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program Alignment of s to the Scope and Sequence of Math-U-See Program This table provides guidance to educators when aligning levels/resources to the Australian Curriculum (AC). The Math-U-See levels do not address

More information

Course Syllabus for Math

Course Syllabus for Math Course Syllabus for Math 1090-003 Instructor: Stefano Filipazzi Class Time: Mondays, Wednesdays and Fridays, 9.40 a.m. - 10.30 a.m. Class Place: LCB 225 Office hours: Wednesdays, 2.00 p.m. - 3.00 p.m.,

More information

Class Meeting Time and Place: Section 3: MTWF10:00-10:50 TILT 221

Class Meeting Time and Place: Section 3: MTWF10:00-10:50 TILT 221 Math 155. Calculus for Biological Scientists Fall 2017 Website https://csumath155.wordpress.com Please review the course website for details on the schedule, extra resources, alternate exam request forms,

More information

Learning Disability Functional Capacity Evaluation. Dear Doctor,

Learning Disability Functional Capacity Evaluation. Dear Doctor, Dear Doctor, I have been asked to formulate a vocational opinion regarding NAME s employability in light of his/her learning disability. To assist me with this evaluation I would appreciate if you can

More information

Mathematics Program Assessment Plan

Mathematics Program Assessment Plan Mathematics Program Assessment Plan Introduction This assessment plan is tentative and will continue to be refined as needed to best fit the requirements of the Board of Regent s and UAS Program Review

More information

Missouri Mathematics Grade-Level Expectations

Missouri Mathematics Grade-Level Expectations A Correlation of to the Grades K - 6 G/M-223 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley Mathematics in meeting the

More information

Florida Mathematics Standards for Geometry Honors (CPalms # )

Florida Mathematics Standards for Geometry Honors (CPalms # ) A Correlation of Florida Geometry Honors 2011 to the for Geometry Honors (CPalms #1206320) Geometry Honors (#1206320) Course Standards MAFS.912.G-CO.1.1: Know precise definitions of angle, circle, perpendicular

More information

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General Grade(s): None specified Unit: Creating a Community of Mathematical Thinkers Timeline: Week 1 The purpose of the Establishing a Community

More information

1.11 I Know What Do You Know?

1.11 I Know What Do You Know? 50 SECONDARY MATH 1 // MODULE 1 1.11 I Know What Do You Know? A Practice Understanding Task CC BY Jim Larrison https://flic.kr/p/9mp2c9 In each of the problems below I share some of the information that

More information

Dublin City Schools Mathematics Graded Course of Study GRADE 4

Dublin City Schools Mathematics Graded Course of Study GRADE 4 I. Content Standard: Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems and reasonable estimates using paper and pencil, technology-supported

More information

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15 PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION LLD MATH Length of Course: Elective/Required: School: Full Year Required Middle Schools Student Eligibility: Grades 6-8 Credit Value:

More information

How to make an A in Physics 101/102. Submitted by students who earned an A in PHYS 101 and PHYS 102.

How to make an A in Physics 101/102. Submitted by students who earned an A in PHYS 101 and PHYS 102. How to make an A in Physics 101/102. Submitted by students who earned an A in PHYS 101 and PHYS 102. PHYS 102 (Spring 2015) Don t just study the material the day before the test know the material well

More information

Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall Phone:

Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall Phone: Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall 2011 Instructor s Name: Ricky Streight Hours Credit: 3 Phone: 405-945-6794 email: ricky.streight@okstate.edu 1. COURSE: Math 2103

More information

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE Edexcel GCSE Statistics 1389 Paper 1H June 2007 Mark Scheme Edexcel GCSE Statistics 1389 NOTES ON MARKING PRINCIPLES 1 Types of mark M marks: method marks A marks: accuracy marks B marks: unconditional

More information

Physics 270: Experimental Physics

Physics 270: Experimental Physics 2017 edition Lab Manual Physics 270 3 Physics 270: Experimental Physics Lecture: Lab: Instructor: Office: Email: Tuesdays, 2 3:50 PM Thursdays, 2 4:50 PM Dr. Uttam Manna 313C Moulton Hall umanna@ilstu.edu

More information

Answers To Hawkes Learning Systems Intermediate Algebra

Answers To Hawkes Learning Systems Intermediate Algebra Answers To Hawkes Learning Free PDF ebook Download: Answers To Download or Read Online ebook answers to hawkes learning systems intermediate algebra in PDF Format From The Best User Guide Database Double

More information

Radius STEM Readiness TM

Radius STEM Readiness TM Curriculum Guide Radius STEM Readiness TM While today s teens are surrounded by technology, we face a stark and imminent shortage of graduates pursuing careers in Science, Technology, Engineering, and

More information

Probability and Statistics Curriculum Pacing Guide

Probability and Statistics Curriculum Pacing Guide Unit 1 Terms PS.SPMJ.3 PS.SPMJ.5 Plan and conduct a survey to answer a statistical question. Recognize how the plan addresses sampling technique, randomization, measurement of experimental error and methods

More information

SANTIAGO CANYON COLLEGE Reading & English Placement Testing Information

SANTIAGO CANYON COLLEGE Reading & English Placement Testing Information SANTIAGO CANYON COLLEGE Reaing & English Placement Testing Information DO YOUR BEST on the Reaing & English Placement Test The Reaing & English placement test is esigne to assess stuents skills in reaing

More information

Page 1 of 8 REQUIRED MATERIALS:

Page 1 of 8 REQUIRED MATERIALS: INSTRUCTOR: OFFICE: PHONE / EMAIL: CONSULTATION: INSTRUCTOR WEB SITE: MATH DEPARTMENT WEB SITES: http:/ Online MATH 1010 INTERMEDIATE ALGEBRA Spring Semester 2013 Zeph Smith SCC N326 - G 957-3229 / zeph.smith@slcc.edu

More information

Please read this entire syllabus, keep it as reference and is subject to change by the instructor.

Please read this entire syllabus, keep it as reference and is subject to change by the instructor. Math 125: Intermediate Algebra Syllabus Section # 3288 Fall 2013 TTh 4:10-6:40 PM MATH 1412 INSTRUCTOR: Nisakorn Srichoom (Prefer to be call Ms. Nisa or Prof. Nisa) OFFICE HOURS: Tuesday at 6:40-7:40 PM

More information

CALCULUS III MATH

CALCULUS III MATH CALCULUS III MATH 01230-1 1. Instructor: Dr. Evelyn Weinstock Mathematics Department, Robinson, Second Floor, 228E 856-256-4500, ext. 3862, email: weinstock@rowan.edu Days/Times: Monday & Thursday 2:00-3:15,

More information

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade The third grade standards primarily address multiplication and division, which are covered in Math-U-See

More information

Extending Place Value with Whole Numbers to 1,000,000

Extending Place Value with Whole Numbers to 1,000,000 Grade 4 Mathematics, Quarter 1, Unit 1.1 Extending Place Value with Whole Numbers to 1,000,000 Overview Number of Instructional Days: 10 (1 day = 45 minutes) Content to Be Learned Recognize that a digit

More information

Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations via Technology. Michael L. Connell University of Houston - Downtown

Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations via Technology. Michael L. Connell University of Houston - Downtown Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations via Technology Michael L. Connell University of Houston - Downtown Sergei Abramovich State University of New York at Potsdam Introduction

More information

HOLMER GREEN SENIOR SCHOOL CURRICULUM INFORMATION

HOLMER GREEN SENIOR SCHOOL CURRICULUM INFORMATION HOLMER GREEN SENIOR SCHOOL CURRICULUM INFORMATION Subject: Mathematics Year Group: 7 Exam Board: (For years 10, 11, 12 and 13 only) Assessment requirements: Students will take 3 large assessments during

More information

Math 121 Fundamentals of Mathematics I

Math 121 Fundamentals of Mathematics I I. Course Description: Math 121 Fundamentals of Mathematics I Math 121 is a general course in the fundamentals of mathematics. It includes a study of concepts of numbers and fundamental operations with

More information

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education GCSE Mathematics B (Linear) Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education Mark Scheme for November 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge

More information

Using Calculators for Students in Grades 9-12: Geometry. Re-published with permission from American Institutes for Research

Using Calculators for Students in Grades 9-12: Geometry. Re-published with permission from American Institutes for Research Using Calculators for Students in Grades 9-12: Geometry Re-published with permission from American Institutes for Research Using Calculators for Students in Grades 9-12: Geometry By: Center for Implementing

More information

Getting Started with TI-Nspire High School Science

Getting Started with TI-Nspire High School Science Getting Started with TI-Nspire High School Science 2012 Texas Instruments Incorporated Materials for Institute Participant * *This material is for the personal use of T3 instructors in delivering a T3

More information

Ab Calculus Clue Problem Set Answers

Ab Calculus Clue Problem Set Answers Ab Calculus Clue Problem Set Answers Free PDF ebook Download: Ab Calculus Clue Problem Set Answers Download or Read Online ebook ab calculus clue problem set answers in PDF Format From The Best User Guide

More information

PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for !! Mr. Bryan Doiron

PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for !! Mr. Bryan Doiron PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for 2016-2017!! Mr. Bryan Doiron The course covers the following topics (time permitting): Unit 1 Kinematics: Special Equations, Relative

More information

Foothill College Fall 2014 Math My Way Math 230/235 MTWThF 10:00-11:50 (click on Math My Way tab) Math My Way Instructors:

Foothill College Fall 2014 Math My Way Math 230/235 MTWThF 10:00-11:50  (click on Math My Way tab) Math My Way Instructors: This is a team taught directed study course. Foothill College Fall 2014 Math My Way Math 230/235 MTWThF 10:00-11:50 www.psme.foothill.edu (click on Math My Way tab) Math My Way Instructors: Instructor:

More information

AP Chemistry

AP Chemistry AP Chemistry 2016-2017 Welcome to AP Chemistry! I am so excited to have you in this course next year! To get geared up for the class, there are some things that you need to do this summer. None of it is

More information

LOUISIANA HIGH SCHOOL RALLY ASSOCIATION

LOUISIANA HIGH SCHOOL RALLY ASSOCIATION LOUISIANA HIGH SCHOOL RALLY ASSOCIATION Literary Events 2014-15 General Information There are 44 literary events in which District and State Rally qualifiers compete. District and State Rally tests are

More information

Diagnostic Test. Middle School Mathematics

Diagnostic Test. Middle School Mathematics Diagnostic Test Middle School Mathematics Copyright 2010 XAMonline, Inc. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form or by

More information

Intermediate Algebra

Intermediate Algebra Intermediate Algebra An Individualized Approach Robert D. Hackworth Robert H. Alwin Parent s Manual 1 2005 H&H Publishing Company, Inc. 1231 Kapp Drive Clearwater, FL 33765 (727) 442-7760 (800) 366-4079

More information

Grading Policy/Evaluation: The grades will be counted in the following way: Quizzes 30% Tests 40% Final Exam: 30%

Grading Policy/Evaluation: The grades will be counted in the following way: Quizzes 30% Tests 40% Final Exam: 30% COURSE SYLLABUS FALL 2010 MATH 0408 INTERMEDIATE ALGEBRA Course # 0408.06 Course Schedule/Location: TT 09:35 11:40, A-228 Instructor: Dr. Calin Agut, Office: J-202, Department of Mathematics, Brazosport

More information

AU MATH Calculus I 2017 Spring SYLLABUS

AU MATH Calculus I 2017 Spring SYLLABUS AU MATH 191 950 Calculus I 2017 Spring SYLLABUS AU Math 191 950 Calculus I Consortium of Adventist Colleges and Universities Interactive Online Format This course follows an interactive online format with

More information

RIGHTSTART MATHEMATICS

RIGHTSTART MATHEMATICS Activities for Learning, Inc. RIGHTSTART MATHEMATICS by Joan A. Cotter, Ph.D. LEVEL B LESSONS FOR HOME EDUCATORS FIRST EDITION Copyright 2001 Special thanks to Sharalyn Colvin, who converted RightStart

More information

MATH 1A: Calculus I Sec 01 Winter 2017 Room E31 MTWThF 8:30-9:20AM

MATH 1A: Calculus I Sec 01 Winter 2017 Room E31 MTWThF 8:30-9:20AM Instructor: Amanda Lien Office: S75b Office Hours: MTWTh 11:30AM-12:20PM Contact: lienamanda@fhda.edu COURSE DESCRIPTION MATH 1A: Calculus I Sec 01 Winter 2017 Room E31 MTWThF 8:30-9:20AM Fundamentals

More information

MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008

MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008 MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008 Instructor: Nolan Rice Math Lab: T 2:00 2:50 Office: SHL 206-F Office Hours: M/F 2:00 2:50 Phone/Voice Mail: 732.6819 W 4:30 5:20 E-mail: nrice@csi.edu

More information

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Using and applying mathematics objectives (Problem solving, Communicating and Reasoning) Select the maths to use in some classroom

More information

B.S/M.A in Mathematics

B.S/M.A in Mathematics B.S/M.A in Mathematics The dual Bachelor of Science/Master of Arts in Mathematics program provides an opportunity for individuals to pursue advanced study in mathematics and to develop skills that can

More information

EGRHS Course Fair. Science & Math AP & IB Courses

EGRHS Course Fair. Science & Math AP & IB Courses EGRHS Course Fair Science & Math AP & IB Courses Science Courses: AP Physics IB Physics SL IB Physics HL AP Biology IB Biology HL AP Physics Course Description Course Description AP Physics C (Mechanics)

More information

BENCHMARK MA.8.A.6.1. Reporting Category

BENCHMARK MA.8.A.6.1. Reporting Category Grade MA..A.. Reporting Category BENCHMARK MA..A.. Number and Operations Standard Supporting Idea Number and Operations Benchmark MA..A.. Use exponents and scientific notation to write large and small

More information

State University of New York at Buffalo INTRODUCTION TO STATISTICS PSC 408 Fall 2015 M,W,F 1-1:50 NSC 210

State University of New York at Buffalo INTRODUCTION TO STATISTICS PSC 408 Fall 2015 M,W,F 1-1:50 NSC 210 1 State University of New York at Buffalo INTRODUCTION TO STATISTICS PSC 408 Fall 2015 M,W,F 1-1:50 NSC 210 Dr. Michelle Benson mbenson2@buffalo.edu Office: 513 Park Hall Office Hours: Mon & Fri 10:30-12:30

More information

Characterizing Mathematical Digital Literacy: A Preliminary Investigation. Todd Abel Appalachian State University

Characterizing Mathematical Digital Literacy: A Preliminary Investigation. Todd Abel Appalachian State University Characterizing Mathematical Digital Literacy: A Preliminary Investigation Todd Abel Appalachian State University Jeremy Brazas, Darryl Chamberlain Jr., Aubrey Kemp Georgia State University This preliminary

More information

Spinners at the School Carnival (Unequal Sections)

Spinners at the School Carnival (Unequal Sections) Spinners at the School Carnival (Unequal Sections) Maryann E. Huey Drake University maryann.huey@drake.edu Published: February 2012 Overview of the Lesson Students are asked to predict the outcomes of

More information

OFFICE SUPPORT SPECIALIST Technical Diploma

OFFICE SUPPORT SPECIALIST Technical Diploma OFFICE SUPPORT SPECIALIST Technical Diploma Program Code: 31-106-8 our graduates INDEMAND 2017/2018 mstc.edu administrative professional career pathway OFFICE SUPPORT SPECIALIST CUSTOMER RELATIONSHIP PROFESSIONAL

More information

Teaching a Laboratory Section

Teaching a Laboratory Section Chapter 3 Teaching a Laboratory Section Page I. Cooperative Problem Solving Labs in Operation 57 II. Grading the Labs 75 III. Overview of Teaching a Lab Session 79 IV. Outline for Teaching a Lab Session

More information

*Lesson will begin on Friday; Stations will begin on the following Wednesday*

*Lesson will begin on Friday; Stations will begin on the following Wednesday* UDL Lesson Plan Template Instructor: Josh Karr Learning Domain: Algebra II/Geometry Grade: 10 th Lesson Objective/s: Students will learn to apply the concepts of transformations to an algebraic context

More information

Office Hours: Mon & Fri 10:00-12:00. Course Description

Office Hours: Mon & Fri 10:00-12:00. Course Description 1 State University of New York at Buffalo INTRODUCTION TO STATISTICS PSC 408 4 credits (3 credits lecture, 1 credit lab) Fall 2016 M/W/F 1:00-1:50 O Brian 112 Lecture Dr. Michelle Benson mbenson2@buffalo.edu

More information

Algebra 1 Summer Packet

Algebra 1 Summer Packet Algebra 1 Summer Packet Name: Solve each problem and place the answer on the line to the left of the problem. Adding Integers A. Steps if both numbers are positive. Example: 3 + 4 Step 1: Add the two numbers.

More information

PROGRAM REVIEW CALCULUS TRACK MATH COURSES (MATH 170, 180, 190, 191, 210, 220, 270) May 1st, 2012

PROGRAM REVIEW CALCULUS TRACK MATH COURSES (MATH 170, 180, 190, 191, 210, 220, 270) May 1st, 2012 PROGRAM REVIEW CALCULUS TRACK MATH COURSES (MATH 170, 180, 190, 191, 210, 220, 270) May 1st, 2012 MICHAEL BATEMAN JILL EVENSIZER GREG FRY HAMZA HAMZA LINDA HO ROBERT HORVATH BOB LEWIS ASHOD MINASIAN KRISTINE

More information

Focus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers.

Focus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers. Approximate Time Frame: 3-4 weeks Connections to Previous Learning: In fourth grade, students fluently multiply (4-digit by 1-digit, 2-digit by 2-digit) and divide (4-digit by 1-digit) using strategies

More information