STRAND 3: QUADRATIC FUNCTIONS
|
|
- Beverly Horn
- 6 years ago
- Views:
Transcription
1 1 STRAND 3: QUADRATIC FUNCTIONS TOPIC 3.3: APPLICATIONS Topic Notes Mathematical focus Participants put quadratic functions to use in maximization problems, learn how to extend standard textbook max/min problems to bring out the rich mathematics, and discover a real world use for complex numbers. Topic overview This topic includes 3 tasks: Task 3.3.1: Maximizing Revenue and Profit Task 3.3.2: Making Application Problems Richer Task 3.3.3: Shocking Numbers These tasks bring together the knowledge the participants have developed about quadratic functions. In Task 3.3.1, participants analyze ways to find a quadratic equation using matrices and finite differences. The big idea here is to examine various methods for defining a quadratic function given a pattern of a set of data. In Task 3.3.2, participants get a chance to develop their own maximization problems. Task provides an example of the use of complex numbers in electrical engineering, addressing the age-old question, Does anybody actually use this stuff? TExES standards focus TExES Standard I.002 Number concepts. The teacher understands the complex number system and its structure, operations, algorithms, and representations. The beginning teacher: (A) Demonstrates how some problems that have no solution in the real number system have solutions in the complex number system. (E) Describes complex number operations (e.g., addition, multiplication, roots) using symbolic and geometric representations. TExES Standard II.004 Patterns and algebra. The teacher uses patterns to model and solve problems and formulate conjectures. The beginning teacher: (A) Recognizes and extends patterns and relationships in data presented in tables, sequences, or graphs. TExES Standard II.005 Patterns and algebra. The teacher understands attributes of functions, relations, and their graphs. The beginning teacher: (B) Identifies the mathematical domain and range of functions and relations and determines reasonable domains for given situations. (C) Understands that a function represents a dependence of one quantity on another and can be represented in a variety of ways (e.g., concrete models, tables, graphs, diagrams, verbal descriptions, symbols).
2 2 TExES Standard II.006 Patterns and algebra. The teacher understands linear and quadratic functions, analyzes their algebraic and graphical properties, and uses them to model and solve problems. The beginning teacher: (G) Models and solves problems involving linear and quadratic equations and inequalities using a variety of methods, including technology. TExES Standard V.018 Mathematical processes and perspectives. The teacher understands mathematical reasoning and problem solving. The beginning teacher: (E) Understands the problem-solving process (i.e., recognizing that a mathematical problem can be solved in a variety of ways, selecting an appropriate strategy, evaluating the reasonableness of a solution). TExES Standard V.019 Mathematical processes and perspectives. The teacher understands mathematical connections both within and outside of mathematics and how to communicate mathematical ideas and concepts. (A) Recognizes and uses multiple representations of a mathematical concept (e.g., a point and its coordinates, the area of a circle as a quadratic function of the radius, probability as the ratio of two areas, area of a plane region as a definite integral). (B) Understands how mathematics is used to model and solve problems in other disciplines (e.g., art, music, science, social science, business). (C) Translates mathematical ideas between verbal and symbolic forms. (D) Communicates mathematical ideas using a variety of representations (e.g., numeric, verbal, graphical, pictorial, symbolic, concrete). (E) Understands the use of visual media, such as graphs, tables, diagrams, and animations, to communicate mathematical information. TEKS/TAKS focus TEKS 2A.1 Foundations for functions. The student uses properties and attributes of functions and applies functions to problem situations. The student is expected to: (B) collect and organize data, make and interpret scatter plots, fit the graph of a function to the data, interpret the results, and proceed to model, predict, and make decisions and critical judgments. TEKS 2A.2 Foundations for functions. The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations. The student is expected to: (A) use tools including factoring and properties of exponents to simplify expressions and to transform and solve equations; and (B) use complex numbers to describe the solutions of quadratic equations. TEKS 2A.3 Foundations for functions. The student formulates systems of equations and inequalities from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situations. The student is expected to:
3 3 Materials (B) use algebraic methods, graphs, tables, or matrices, to solve systems of equations or inequalities; and (C) interpret and determine the reasonableness of solutions to systems of equations or inequalities for given contexts. TEKS 2A.6 Quadratic and square root functions. The student understands that quadratic functions can be represented in different ways and translates among their various representations. The student is expected to: (A) determine the reasonable domain and range values of quadratic functions, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities; and (B) relate representations of quadratic functions, such as algebraic, tabular, graphical, and verbal descriptions. TEKS 2A.8 Quadratic and square root functions. The student formulates equations and inequalities based on quadratic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to: (A) analyze situations involving quadratic functions and formulate quadratic equations or inequalities to solve problems. High School TAKS Objective 1: The student will describe functional relationships in a variety of ways. High School TAKS Objective 2: The student will demonstrate an understanding of the properties and attributes of functions. High School TAKS Objective 5: The student will demonstrate an understanding of quadratic and other nonlinear functions. Task 3.3.1: Maximizing Revenue and Profit Task 3.3.2: Making Application Problems Richer Task 3.3.3: Shocking Numbers Graphing calculator X X X Chart paper X Procedure These three tasks stand alone. Task provides a nice review of matrix algebra. If there is time for only one task from this topic, then Task is the most crucial, as it gives participants experience solving and enriching maximization problems.
4 4 Summary The big ideas here are to examine various methods for defining a quadratic function given a pattern of a set of data. Participants use matrices, regression equations and finite differences to find quadratic equations. Assessment What follows is an assessment that participants should be able to complete upon finishing task
5 5 Reflect and Apply Consider the data below. x y Use the first three points to find a quadratic function that fits the data. Check your function using the 5 th data point. 2. Find the formula for a linear function that passes through the second point and the third point in the table. 3. Find the value of the linear functions at x = 3 and compare that value to the value of the quadratic at x = Compare the values of the linear and quadratic functions at x = Use a graphing calculator to graph both functions on the same axes to estimate your answers. Approximately what x-values would you have to use so that the resulting function values for the quadratic function and the linear function would not differ from each other by more than 0.5?
6 6 Reflect and Apply Solutions: 1. y = 0.01x 2 + 2x + 1, 0.01( 50) 2 + 2( 50) + 1 = y = 2.03x Linear function: x = 3, y = 7.07 Quadratic function: x = 3, y = Linear function: x = 50, y = Quadratic function: x = 50, y = Participants may examine the table or graph the functions to determine that this difference occurs for 0! x < 8.6. Task is best suited to the teacher journal, whereas Tasks and would work well with the student journal. Teacher use only Modify for students Ready for students Task * Task * Task *
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 informationHonors 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 informationAlgebra 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 informationCharacteristics 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 informationMathematics. 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 informationStatewide 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 informationCal 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 informationMathematics 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 informationGrade 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 informationMath 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 informationCAAP. 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 informationTechnical Manual Supplement
VERSION 1.0 Technical Manual Supplement The ACT Contents Preface....................................................................... iii Introduction....................................................................
More informationMath 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 informationGUIDE 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 informationLearning 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 informationClassroom 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 informationMathematics 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 informationExtending 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 informationMath-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 informationMathematics 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 informationMontana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011
Montana Content Standards for Mathematics Grade 3 Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Contents Standards for Mathematical Practice: Grade
More informationIntroducing the New Iowa Assessments Mathematics Levels 12 14
Introducing the New Iowa Assessments Mathematics Levels 12 14 ITP Assessment Tools Math Interim Assessments: Grades 3 8 Administered online Constructed Response Supplements Reading, Language Arts, Mathematics
More informationSAT 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 informationDublin 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 informationLLD 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 informationFIGURE IT OUT! MIDDLE SCHOOL TASKS. Texas Performance Standards Project
FIGURE IT OUT! MIDDLE SCHOOL TASKS π 3 cot(πx) a + b = c sinθ MATHEMATICS 8 GRADE 8 This guide links the Figure It Out! unit to the Texas Essential Knowledge and Skills (TEKS) for eighth graders. Figure
More informationSchool of Innovative Technologies and Engineering
School of Innovative Technologies and Engineering Department of Applied Mathematical Sciences Proficiency Course in MATLAB COURSE DOCUMENT VERSION 1.0 PCMv1.0 July 2012 University of Technology, Mauritius
More informationMath 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 informationRadius 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 informationSTA 225: Introductory Statistics (CT)
Marshall University College of Science Mathematics Department STA 225: Introductory Statistics (CT) Course catalog description A critical thinking course in applied statistical reasoning covering basic
More informationDigital 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 informationHOLMER 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 informationINTERMEDIATE ALGEBRA PRODUCT GUIDE
Welcome Thank you for choosing Intermediate Algebra. This adaptive digital curriculum provides students with instruction and practice in advanced algebraic concepts, including rational, radical, and logarithmic
More informationMathematics 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 informationFlorida 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 informationFoothill 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 informationAP 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 informationMissouri 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 informationMath 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 informationInterpreting Graphs Middle School Science
Middle School Free PDF ebook Download: Download or Read Online ebook interpreting graphs middle school science in PDF Format From The Best User Guide Database. Rain, Rain, Go Away When the student council
More information1.11 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 informationAfter your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A.
MATH 6A Mathematics, Grade 6, First Semester #03 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A. WHAT
More informationPhysics 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 informationGrade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand
Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand Texas Essential Knowledge and Skills (TEKS): (2.1) Number, operation, and quantitative reasoning. The student
More informationPage 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 informationUNIT 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(I couldn t find a Smartie Book) NEW Grade 5/6 Mathematics: (Number, Statistics and Probability) Title Smartie Mathematics
(I couldn t find a Smartie Book) NEW Grade 5/6 Mathematics: (Number, Statistics and Probability) Title Smartie Mathematics Lesson/ Unit Description Questions: How many Smarties are in a box? Is it the
More informationStandard 1: Number and Computation
Standard 1: Number and Computation Standard 1: Number and Computation The student uses numerical and computational concepts and procedures in a variety of situations. Benchmark 1: Number Sense The student
More informationSouth Carolina College- and Career-Ready Standards for Mathematics. Standards Unpacking Documents Grade 5
South Carolina College- and Career-Ready Standards for Mathematics Standards Unpacking Documents Grade 5 South Carolina College- and Career-Ready Standards for Mathematics Standards Unpacking Documents
More informationOFFICE 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 informationMath Grade 3 Assessment Anchors and Eligible Content
Math Grade 3 Assessment Anchors and Eligible Content www.pde.state.pa.us 2007 M3.A Numbers and Operations M3.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among
More informationInstructor: 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 informationThis scope and sequence assumes 160 days for instruction, divided among 15 units.
In previous grades, students learned strategies for multiplication and division, developed understanding of structure of the place value system, and applied understanding of fractions to addition and subtraction
More informationFairfield Methodist School (Secondary) Topics for End of Year Examination Term
End of Year examination papers will cover all the topics taught in Sec 2 for each subject unless otherwise stated below. Oral Exam for Languages will be conducted by teachers outside of the EOY exam period.
More informationUsing 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 informationContent Language Objectives (CLOs) August 2012, H. Butts & G. De Anda
Content Language Objectives (CLOs) Outcomes Identify the evolution of the CLO Identify the components of the CLO Understand how the CLO helps provide all students the opportunity to access the rigor of
More informationTabletClass 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 informationFirst Grade Standards
These are the standards for what is taught throughout the year in First Grade. It is the expectation that these skills will be reinforced after they have been taught. Mathematical Practice Standards Taught
More informationCourse 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 informationFocus 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 informationEGRHS 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 informationBENCHMARK 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 informationBittinger, 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 informationGrading 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 informationMeasurement. When Smaller Is Better. Activity:
Measurement Activity: TEKS: When Smaller Is Better (6.8) Measurement. The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and
More informationSyllabus 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 informationJulia 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 informationArizona s College and Career Ready Standards Mathematics
Arizona s College and Career Ready Mathematics Mathematical Practices Explanations and Examples First Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS State Board Approved June
More informationGCSE 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 informationExemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple
Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple Unit Plan Components Big Goal Standards Big Ideas Unpacked Standards Scaffolded Learning Resources
More informationUnit 3 Ratios and Rates Math 6
Number of Days: 20 11/27/17 12/22/17 Unit Goals Stage 1 Unit Description: Students study the concepts and language of ratios and unit rates. They use proportional reasoning to solve problems. In particular,
More informationTitle: George and Sam Save for a Present By: Lesson Study Group 2
Research Aim: Title: George and Sam Save for a Present By: Lesson Study Group 2 Team Members: Jan Arslan, Lindsay Blanchard, Juneanne Demek, Hilary Harrison, Susan Greenwood Research Lesson Date: Tuesday,
More informationMATH 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 informationRelationships Between Motivation And Student Performance In A Technology-Rich Classroom Environment
Relationships Between Motivation And Student Performance In A Technology-Rich Classroom Environment John Tapper & Sara Dalton Arden Brookstein, Derek Beaton, Stephen Hegedus jtapper@donahue.umassp.edu,
More informationTOPICS 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 informationUniversity of Groningen. Systemen, planning, netwerken Bosman, Aart
University of Groningen Systemen, planning, netwerken Bosman, Aart IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document
More informationPaper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER
259574_P2 5-7_KS3_Ma.qxd 1/4/04 4:14 PM Page 1 Ma KEY STAGE 3 TIER 5 7 2004 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you
More information4.0 CAPACITY AND UTILIZATION
4.0 CAPACITY AND UTILIZATION The capacity of a school building is driven by four main factors: (1) the physical size of the instructional spaces, (2) the class size limits, (3) the schedule of uses, and
More informationCurriculum Guide 7 th Grade
Curriculum Guide 7 th Grade Kesling Middle School LaPorte Community School Corporation Mr. G. William Wilmsen, Principal Telephone (219) 362-7507 Mr. Mark Fridenmaker, Assistant Principal Fax (219) 324-5712
More informationProbability 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 informationSURVIVING ON MARS WITH GEOGEBRA
SURVIVING ON MARS WITH GEOGEBRA Lindsey States and Jenna Odom Miami University, OH Abstract: In this paper, the authors describe an interdisciplinary lesson focused on determining how long an astronaut
More informationMathematics Success Grade 7
T894 Mathematics Success Grade 7 [OBJECTIVE] The student will find probabilities of compound events using organized lists, tables, tree diagrams, and simulations. [PREREQUISITE SKILLS] Simple probability,
More informationSPATIAL SENSE : TRANSLATING CURRICULUM INNOVATION INTO CLASSROOM PRACTICE
SPATIAL SENSE : TRANSLATING CURRICULUM INNOVATION INTO CLASSROOM PRACTICE Kate Bennie Mathematics Learning and Teaching Initiative (MALATI) Sarie Smit Centre for Education Development, University of Stellenbosch
More informationNCSC Alternate Assessments and Instructional Materials Based on Common Core State Standards
NCSC Alternate Assessments and Instructional Materials Based on Common Core State Standards Ricki Sabia, JD NCSC Parent Training and Technical Assistance Specialist ricki.sabia@uky.edu Background Alternate
More informationSouth Carolina English Language Arts
South Carolina English Language Arts A S O F J U N E 2 0, 2 0 1 0, T H I S S TAT E H A D A D O P T E D T H E CO M M O N CO R E S TAT E S TA N DA R D S. DOCUMENTS REVIEWED South Carolina Academic Content
More informationJanine 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 informationAnswer Key For The California Mathematics Standards Grade 1
Introduction: Summary of Goals GRADE ONE By the end of grade one, students learn to understand and use the concept of ones and tens in the place value number system. Students add and subtract small numbers
More informationOhio s Learning Standards-Clear Learning Targets
Ohio s Learning Standards-Clear Learning Targets Math Grade 1 Use addition and subtraction within 20 to solve word problems involving situations of 1.OA.1 adding to, taking from, putting together, taking
More informationHardhatting in a Geo-World
Hardhatting in a Geo-World TM Developed and Published by AIMS Education Foundation This book contains materials developed by the AIMS Education Foundation. AIMS (Activities Integrating Mathematics and
More informationAnswers 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 informationAnswers To Gradpoint Review Test
To Gradpoint Review Test Free PDF ebook Download: To Gradpoint Review Test Download or Read Online ebook answers to gradpoint review test in PDF Format From The Best User Guide Database Students must also
More informationMAT 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 informationEECS 700: Computer Modeling, Simulation, and Visualization Fall 2014
EECS 700: Computer Modeling, Simulation, and Visualization Fall 2014 Course Description The goals of this course are to: (1) formulate a mathematical model describing a physical phenomenon; (2) to discretize
More informationAC : TEACHING COLLEGE PHYSICS
AC 2012-5386: TEACHING COLLEGE PHYSICS Dr. Bert Pariser, Technical Career Institutes Bert Pariser is a faculty member in the Electronic Engineering Technology and the Computer Science Technology departments
More informationASSESSMENT TASK OVERVIEW & PURPOSE:
Performance Based Learning and Assessment Task A Place at the Table I. ASSESSMENT TASK OVERVIEW & PURPOSE: Students will create a blueprint for a decorative, non rectangular picnic table (top only), and
More informationAlignment 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 informationRendezvous with Comet Halley Next Generation of Science Standards
Next Generation of Science Standards 5th Grade 6 th Grade 7 th Grade 8 th Grade 5-PS1-3 Make observations and measurements to identify materials based on their properties. MS-PS1-4 Develop a model that
More informationMath 1313 Section 2.1 Example 2: Given the following Linear Program, Determine the vertices of the feasible set. Subject to:
Math 1313 Section 2.1 Example 2: Given the following Linear Program, Determine the vertices of the feasible set Subject to: Min D 3 = 3x + y 10x + 2y 84 8x + 4y 120 x, y 0 3 Math 1313 Section 2.1 Popper
More informationAlgebra 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 informationWelcome to ACT Brain Boot Camp
Welcome to ACT Brain Boot Camp 9:30 am - 9:45 am Basics (in every room) 9:45 am - 10:15 am Breakout Session #1 ACT Math: Adame ACT Science: Moreno ACT Reading: Campbell ACT English: Lee 10:20 am - 10:50
More information