HiQ Analysis, Visualization, and Report Generation

Size: px
Start display at page:

Download "HiQ Analysis, Visualization, and Report Generation"

Transcription

1 Visually Organize Your Analysis Projects in an Interactive Notebook is an interactive problem-solving environment where you analyze, visualize, and document real-world science and engineering problems. solves real-world problems using a notebook methodology that combines interactive analysis, data visualization, and report generation in a single, intuitive environment. Using the interactive tools of, you can create data objects, analysis, and graphs that you can move, rotate, and customize to bring out the important points in your data. And, when you are finished, you have a complete, interactive technical document to share your results with others. The Notebook Within a notebook, you can organize all the phases of your analysis project. You can create objects that represent data, 2D and 3D graphs, text, annotations, embedded ActiveX/object linking and embedding (OLE) objects, and -Script on the notebook page. Each object also has its own interactive properties. For example, the Matrix object operates like a spreadsheet where you can input and manipulate scalar, vector, and matrix data. In the 3D Graph properties page, you can interactively change the viewpoint, shading, color, size, and other graph attributes. In the -Script object, you can create, compile, and run your own programs. Your completed Notebook serves as an interactive document for your project that you can print to produce a high-quality technical report. Designing a Notebook With, you can create your technical report as you perform your analysis, together in a single document. You create your notebook, import your data, and create 2D and 3D graph objects interactively without writing any programming code. To make your custom Notebook interactive, you place objects on the Notebook. To run a program, you select Run on a - Script object. You can even add pages and sections to your notebook to build larger, even more sophisticated applications. ActiveMath for Microsoft Office Creating your technical analysis report in is easy using the ActiveX (OLE) technology available under Windows NT/95. While creating your Notebook, you can embed other ActiveX objects and controls, such as Microsoft Word, Excel, PowerPoint, and Paintbrush to make your technical calculations, presentations, and reports more informative and intuitive. These embedded objects are active components that you can control and edit directly within the environment. You can even embed your notebooks into Word and Excel to add advanced analysis and data visualization to your Office documents. You can also automate your analysis using the OLE Automation interface. Using OLE Automation, you can control other applications programmatically from within the environment or control from other ActiveX applications. With ActiveX in, you can use the power of other software tools you already own. 145

2 Explorer The Explorer interface organizes your work by giving you access to all notebooks, data objects, and functions right at your fingertips. You can use the Explorer to navigate through your notebook and interactively drag and drop items directly onto your notebook page. Command Line The command line gives you the power to achieve fast, immediate results. Within this window, you can evaluate numerical expressions, run script programs, and even create your own functions and programs using the powerful -Script programming language. For Matlab 5.0 users, this command window also gives you 100 percent compatibility to run your Matlab M-files directly from the command line interface. You do not need to rewrite all of your existing Matlab code to enjoy the powerful benefits of the analysis environment. Report Generation Produce a complete report by adding introductions, figures, equations, explanations, and conclusions to your technical document. Embed Microsoft Word, Excel, PowerPoint, and other documents directly into your notebook. Create your technical report as you perform your analysis. Print your report to produce a high-quality, hard copy document. -Script Create your own functions and programs using the - Script language. Use hundreds of built-in math, data visualization, and utility functions. Data Visualization Visualize your data using interactive 2D and 3D graphs. Interact with your data directly using features such as panning, zooming, and rotating. Data Import/Export Wizard Using the Import/Export Wizard, you can interactively load and save data sets of any size! Load your data into no matter what format. The Wizard guides you step-by-step through the importing process with no programming. analyzes and previews your data before importing, so you can be sure that your data is imported correctly. Using the Data Export Wizard, you can export data to your preferred format. You can also add your own custom import and export formats to the wizards. 146

3 3D Surface Plot Color Mapping and Rotation Transparency Visually Analyze Data The advanced 2D and 3D visualization tools in give you insight into your data. You can generate 2D and 3D graphs from both data and functions and immediately visualize the results. The OpenGL graphics engine delivers workstationquality graphics and performance so you can be more creative and productive. With a 3D Graph, you can interactively rotate to see any viewpoint, set the lighting position and intensity, and zoom in or out. You can shade a 3D surface and make it transparent. In addition, you can create contour plots, projections to any plane, and wire-frame surfaces. You can perform all of these operations interactively with built-in property pages or programmatically from -Script. 2D Graph Features Cartesian and polar coordinates Parametric plots Linear and log scale Configurable axes Point, line, and bar plots Animation Legends Multiple Y axes Lighting and Zooming 3D Graph Features Advanced OpenGL graphics Cartesian, polar, and cylindrical coordinates Point, line, surface, and parametric plots Panning, zooming, and rotating Orthographic and perspective viewing Axes scales and labels Animation Transparency Color maps Legends Configurable axes Lighting Plane projections Contour plots Contouring and Plane Projection 147

4 Tap the Power of Analysis and Data Visualization Functions There is more to numerical analysis than just answers you need fast and accurate results you can trust. In the built-in functions, error tolerances are easily specified to provide solutions that converge fast and accurately. The error tolerances are constantly checked, so if you only need six decimal points of accuracy, the built-in functions solve for just that level of accuracy. The libraries give you the tools to develop applications in areas ranging from linear algebra to ordinary differential equations. Partial List of Functions 2D and 3D Graphs Add plot, perspective, point plot, light source shading, height shading, top view, surface plot, set light direction, set light intensity, zoom, and more. Business Annuity, future value, present value, and more. Data Fitting Cubic spline, B spline, Lagrange, Hermite, polynomial, rational, least-squares, nonlinear Levenberg- Marquardt, linefit, and more. Derivative Formulas Biharmonic, derivative, finite difference, laplacian, nth-order derivative, mixed partial derivative, and more. Eigenvalue and Eigenvectors Real and complex eigenvalues and eigenvectors of vectors and matrices. Geometric Distance between points, slope, distance from a point to a line, conic sections, and more. Nonlinear Systems Brent s method, Newton s method, Quasi-Newton method, and more. General and Polynomial Roots real and complex roots of a complex function, all roots of a real or complex polynomial, and more. Integral Equations Fredholm Integral Equations of the second Kind, Volterra Integral Equations of the first Kind, Volterra Integral Equations of the second Kind, and more. Integral Formulas Adaptive Simpson s rule, nth-order Gaussian integration rule, integral using cubic spline, integral using Laguerre polynomial, trapezoidal rule, and more. Linear Algebra Back substitution, LU decomposition, determinant, test for orthogonality, norm, sparsity, multiplication, inverse, transpose, special matrices, solutions to special matrices, and more. Numerical Integration Adaptive quadrature, integrals for integrands with singularities, Fourier integrals, n-dimensional integrals, infinite limit integrals, and more. Optimization Quasi-Newton methods for constrained and unconstrained linear and nonlinear problems. Ordinary Differential Equations Initial Value Runge- Kutta-Fehlberg algorithm, algorithms for smooth and stiff systems, and more. Ordinary Differential Equations Boundary Value Algorithms for linear and nonlinear boundary value problems. Orthogonal Polynomials Laguerre, Legendre, Chebyshev, Jacobi, and more. 148

5 Probability, Statistics, and Regression Analysis Average, beta distribution density, binomial coefficient, chi-square, cross correlation, covariance, gamma distribution, Gaussian distribution, geometric distribution, kurtosis, median, Poisson distribution, random number, root-mean-square, skew, standard deviation, variance, and more. Sequence and Series Truncated power series, inversion of truncated power series, and more. Special Functions Airy function, Bessel Kelvin function, beta functions, gamma function, Bessel function, spherical Bessel function, Riemann zeta function, and more. Transcendental Inverse hyperbolic cosine, cotangent, cosecant, secant, sine, and tangent; hyperbolic cosine cotangent, cosecant, secant, sine, and tangent; exponential; natural logarithm, and more. Trigonometric Cosine, cotangent, cosecant, secant, sine, tangent, inverse trigonomic functions, and more. Customize Your Analysis Application -Script is a programming language built for analysis with many advanced features that make programming easier. Using -Script, you not only have access to the many built-in analysis functions, but you also have the power to create your own functions and programs. Any scripts you create can build on the existing functions within and can be reused by other scripts. -Script removes many of the burdens of programming, so you can focus on your solution. Analysis Functions Optimized algorithms for fast numerical computations Guaranteed convergence for a wide range of problems Strict error checking Fully documented functions, including algorithm descriptions and bibliographies Data size limited only by system memory Script Editor The -Script Editor features context-sensitive highlighting. After completing your -Script program, you can compile and run it directly from within the -Script Editor. Script Features Automatic creation of data structures Automatic data typing Automatic matrix dimensioning Compiled execution Intuitive mathematical syntax On-Line Help You have access to all the function calls from the on-line help feature of ; you can copy and paste a function from the on-line help into your -Script program. 149

6 Automated Report Generation with LabVIEW Using the new OLE automation interface link between LabVIEW and, you can generate technical reports automatically from LabVIEW. You simply design your report template interactively using, then automatically generate your publication-quality technical reports directly from LabVIEW. Your LabVIEW data, analysis, and graphs are organized into Notebooks, which you can automatically print from LabVIEW. Creating your custom report is easy using the ActiveX (OLE) technology in. While creating your report template, you can embed other ActiveX objects such as Microsoft Word, Excel, and PowerPoint to make your technical calculations, presentations, and reports more informative and intuitive. Create professional technical reports with 2D and 3D graphics, tables, charts, data analysis, images, text, and even audio and video. Using, you leverage the power of other software tools you already own. Migrating from Matlab to is a very easy process. You can unlock the power of the -Script programming language by translating your Matlab M-files programs into -Script. Using the automatic built-in translator in, you can load and translate your M-files programs directly into -Script, so you can start taking advantage of the power of the -Script programming language. in Education helps students learn more about engineering and science with interactive Notebooks. Students can interactively change parameters and see the results immediately on the notebook; model and simulate complex systems using the Ordinary Differential Equation (ODE) functions; solve and experiment with biomedical growth, chemical mixing, heat transfer, and mechanics problems (Newton's laws of motion); and solve systems of linear and nonlinear differential equations. The Student Edition delivers the performance of at a price that students can afford. It contains all the functionality of the professional version. When ordering the Student Edition, please send us a copy of your valid student ID. Signal Processing Toolkit The Signal Processing Toolkit for Windows NT/98/95 extends the functionality of by adding 40 new built-in functions for performing advanced signal processing, filter design and analysis, and system modeling. Several example Notebooks and problem solvers get you up-and-running quickly with common signal processing tasks. This toolkit contains frequency domain design and analysis functions including Fourier and Hartley transforms, power spectrum analysis, transfer functions, and FIR and IIR filter design, and time domain design and analysis functions including convolution, windowing, signal generation, and impulse response. Interactive 3D Visualization with LabVIEW You can also visualize your LabVIEW data in 3D using the 3D OpenGL visualization technology in. The OpenGL technology in gives you extremely fast 3D data visualization at high resolution. Matlab Compatibility is 100 percent compatible with your Matlab 5.0. You can run your existing Matlab M-files from within your Notebook. Use to create professional-quality analysis reports by extending Matlab with the analysis, visualization, and report-generation capabilities of. Run your existing M-files from the command window or translate to -Script using the import wizard. 150

7 for Windows NT/98/95 Powerful math and data analysis functions OpenGL 3D data visualization OLE Automation connectivity Intelligent data import/export wizards ActiveX technology Problem solver notebooks -Script programming language for analysis Direct link to LabVIEW for report generation and data visualization System Requirements 486 CPU with coprocessor 8 MB RAM with Windows 98/95 16 MB RAM with Windows NT 256-color, 800 by 600 VGA display 40 MB free disk space Overview for Windows NT/98/95 takes advantage of the powerful, new technologies available on Microsoft 32-bit operating systems. These operating systems are synonymous with ease of use and recognized for user productivity and speed. incorporates and leverages Windows NT and Windows 98/95 technology by using ActiveX/OLE (object linking and embedding) capabilities; ActiveX container capabilities, including drag-and-drop, container, and server; OpenGL (a high-speed 3D rendering library); 32-bit preemptive multitasking and multithreaded capabilities; on-line, context-sensitive help; long file names; and much more. The Notebook ActiveX Container for Windows is an OLE container for analysis and data visualization where you organize, visualize, and document realworld math, science, and engineering problems. Use the notebook environment to organize 2D and 3D graphs, fully documented and annotated reports, raw data, analysis, embedded and linked Microsoft Excel worksheets and Word documents, and even ComponentWorks controls for data acquisition. The Notebook integrates all the phases of your analysis project to create a complete document, report, or presentation. Advanced Data Visualization for Windows uses the industry-standard OpenGL graphics library from Microsoft to provide advanced data visualization capabilities optimized for math, science, and engineering applications. You can customize your graphs interactively and use -Script to change the graph features programmatically. Use the Power of Your Existing Applications Using ActiveX automation, you can automatically control from LabVIEW, Microsoft Office (e.g. Excel and Word), or Visual Basic to perform analysis, visualization, or generate reports. You can also control these applications from directly. For example, you can interactively select data in an Excel worksheet, then run a script in that automatically extracts the data and creates a 2D or 3D graph and performs some analysis. As an ActiveX container, you can embed other ActiveX objects, such as a Word, Excel, or PowerPoint document, making your technical calculations, presentations, and reports more informative and intuitive. Or, you can choose to embed a Notebook into a Word document to add powerful 3D visualization. You can even embed ActiveX controls, such as ComponentWorks, into your Notebook to automatically extend the capabilities of with data acquisition. Ordering Information For Windows NT/98/ Signal Processing Toolkit Student Edition

Honors Precalculus: Solving equations and inequalities graphically and algebraically. Page 1

Honors Precalculus: Solving equations and inequalities graphically and algebraically. Page 1 Solving equations and inequalities graphically and algebraically 1. Plot points on the Cartesian coordinate plane. P.1 2. Represent data graphically using scatter plots, bar graphs, & line graphs. P.1

More information

Fathom Dynamic Data TM Version 2 Specifications

Fathom Dynamic Data TM Version 2 Specifications Data Sources Fathom Dynamic Data TM Version 2 Specifications Use data from one of the many sample documents that come with Fathom. Enter your own data by typing into a case table. Paste data from other

More information

Contents. Implementing the QR factorization The algebraic eigenvalue problem. Applied Linear Algebra in Geoscience Using MATLAB

Contents. Implementing the QR factorization The algebraic eigenvalue problem. Applied Linear Algebra in Geoscience Using MATLAB Applied Linear Algebra in Geoscience Using MATLAB Contents Getting Started Creating Arrays Mathematical Operations with Arrays Using Script Files and Managing Data Two-Dimensional Plots Programming in

More information

Mastery. PRECALCULUS Student Learning Targets

Mastery. PRECALCULUS Student Learning Targets PRECALCULUS Student Learning Targets Big Idea: Sequences and Series 1. I can describe a sequence as a function where the domain is the set of natural numbers. Connections (Pictures, Vocabulary, Definitions,

More information

VW 1LQH :HHNV 7KH VWXGHQW LV H[SHFWHG WR

VW 1LQH :HHNV 7KH VWXGHQW LV H[SHFWHG WR PreAP Pre Calculus solve problems from physical situations using trigonometry, including the use of Law of Sines, Law of Cosines, and area formulas and incorporate radian measure where needed.[3e] What

More information

Montana Instructional Alignment HPS Critical Competencies Mathematics Honors Pre-Calculus

Montana Instructional Alignment HPS Critical Competencies Mathematics Honors Pre-Calculus Content Standards Content Standard 1 - Number Sense and Operations Content Standard 2 - Data Analysis A student, applying reasoning and problem solving, will use number sense and operations to represent

More information

Math 225 Scientific Computing II Outline of Lectures

Math 225 Scientific Computing II Outline of Lectures Math 225 Scientific Computing II Outline of Lectures Spring Semester 2003 I. Interpolating polynomials Lagrange formulation of interpolating polynomial Uniqueness of interpolating polynomial of degree

More information

DEPARTMENT - Mathematics. Coding: N Number. A Algebra. G&M Geometry and Measure. S Statistics. P - Probability. R&P Ratio and Proportion

DEPARTMENT - Mathematics. Coding: N Number. A Algebra. G&M Geometry and Measure. S Statistics. P - Probability. R&P Ratio and Proportion DEPARTMENT - Mathematics Coding: N Number A Algebra G&M Geometry and Measure S Statistics P - Probability R&P Ratio and Proportion YEAR 7 YEAR 8 N1 Integers A 1 Simplifying G&M1 2D Shapes N2 Decimals S1

More information

Excel Scientific and Engineering Cookbook

Excel Scientific and Engineering Cookbook Excel Scientific and Engineering Cookbook David M. Bourg O'REILLY* Beijing Cambridge Farnham Koln Paris Sebastopol Taipei Tokyo Preface xi 1. Using Excel 1 1.1 Navigating the Interface 1 1.2 Entering Data

More information

AP Calculus BC Course Description

AP Calculus BC Course Description AP Calculus BC Course Description COURSE OUTLINE: The following topics define the AP Calculus BC course as it is taught over three trimesters, each consisting of twelve week grading periods. Limits and

More information

PITSCO Math Individualized Prescriptive Lessons (IPLs)

PITSCO Math Individualized Prescriptive Lessons (IPLs) Orientation Integers 10-10 Orientation I 20-10 Speaking Math Define common math vocabulary. Explore the four basic operations and their solutions. Form equations and expressions. 20-20 Place Value Define

More information

These courses are realized in the ESF project JPD /NP1 045 MOVYP, English

These courses are realized in the ESF project JPD /NP1 045 MOVYP, English RESOURCES TO ENGLISH VERSION OF COURSES FOR ESF PROJECT JPD 3 2005/NP1 045 MOVYP These courses are realized in the ESF project JPD 3 2005/NP1 045 MOVYP, English version. The project is founded by European

More information

Curriculum Map: Mathematics

Curriculum Map: Mathematics Curriculum Map: Mathematics Course: Honors Advanced Precalculus and Trigonometry Grade(s): 11-12 Unit 1: Functions and Their Graphs This chapter will develop a more complete, thorough understanding of

More information

STEPHEN WOLFRAM MATHEMATICADO. Fourth Edition WOLFRAM MEDIA CAMBRIDGE UNIVERSITY PRESS

STEPHEN WOLFRAM MATHEMATICADO. Fourth Edition WOLFRAM MEDIA CAMBRIDGE UNIVERSITY PRESS STEPHEN WOLFRAM MATHEMATICADO OO Fourth Edition WOLFRAM MEDIA CAMBRIDGE UNIVERSITY PRESS Table of Contents XXI a section new for Version 3 a section new for Version 4 a section substantially modified for

More information

Algebra 2 Semester 2 Final Exam Study Outline Semester 2 Final Exam Study Tips and Information

Algebra 2 Semester 2 Final Exam Study Outline Semester 2 Final Exam Study Tips and Information Algebra 2 Semester 2 Final Exam Study Outline 2013 Semester 2 Final Exam Study Tips and Information The final exam is CUMULATIVE and will include all concepts taught from Chapter 1 through Chapter 13.

More information

College Technical Mathematics 1

College Technical Mathematics 1 Lakeshore Technical College 10-804-115 College Technical Mathematics 1 Course Outcome Summary Course Information Alternate Title College Technical Math 1 Description Total Credits 5 Total Hours 108...prepares

More information

PROGRAMMING AND ENGINEERING COMPUTING WITH MATLAB Huei-Huang Lee SDC. Better Textbooks. Lower Prices.

PROGRAMMING AND ENGINEERING COMPUTING WITH MATLAB Huei-Huang Lee SDC. Better Textbooks. Lower Prices. PROGRAMMING AND ENGINEERING COMPUTING WITH MATLAB 2018 Huei-Huang Lee SDC P U B L I C AT I O N S Better Textbooks. Lower Prices. www.sdcpublications.com Powered by TCPDF (www.tcpdf.org) Visit the following

More information

Foundations for Functions Knowledge and Skills: Foundations for Functions Knowledge and Skills:

Foundations for Functions Knowledge and Skills: Foundations for Functions Knowledge and Skills: Texas University Interscholastic League Contest Event: Mathematics The 40-minute, 60-question contest is designed to test knowledge and understanding in the areas of algebra I and II, geometry, trigonometry,

More information

LabWindows/CVI Development Tools for ANSI C

LabWindows/CVI Development Tools for ANSI C LabWindows/CVI Development Tools for ANSI C NI LabWindows/CVI Fully integrated workspace Integrated ANSI C development environment Built-in measurement libraries for I/O, analysis, and presentation Interactive

More information

YEAR 12 Core 1 & 2 Maths Curriculum (A Level Year 1)

YEAR 12 Core 1 & 2 Maths Curriculum (A Level Year 1) YEAR 12 Core 1 & 2 Maths Curriculum (A Level Year 1) Algebra and Functions Quadratic Functions Equations & Inequalities Binomial Expansion Sketching Curves Coordinate Geometry Radian Measures Sine and

More information

Huei-Huang Lee. Programming with MATLAB2016 SDC ACCESS CODE. Better Textbooks. Lower Prices. UNIQUE CODE INSIDE

Huei-Huang Lee. Programming with MATLAB2016 SDC ACCESS CODE. Better Textbooks. Lower Prices.   UNIQUE CODE INSIDE Programming with Huei-Huang Lee MATLAB2016 SDC P U B L I C AT I O N S Better Textbooks. Lower Prices. www.sdcpublications.com ACCESS CODE UNIQUE CODE INSIDE Powered by TCPDF (www.tcpdf.org) Visit the following

More information

QstatLab: software for statistical process control and robust engineering

QstatLab: software for statistical process control and robust engineering QstatLab: software for statistical process control and robust engineering I.N.Vuchkov Iniversity of Chemical Technology and Metallurgy 1756 Sofia, Bulgaria qstat@dir.bg Abstract A software for quality

More information

Integrated Algebra 2 and Trigonometry. Quarter 1

Integrated Algebra 2 and Trigonometry. Quarter 1 Quarter 1 I: Functions: Composition I.1 (A.42) Composition of linear functions f(g(x)). f(x) + g(x). I.2 (A.42) Composition of linear and quadratic functions II: Functions: Quadratic II.1 Parabola The

More information

MATLAB. Advanced Mathematics and Mechanics Applications Using. Third Edition. David Halpern University of Alabama CHAPMAN & HALL/CRC

MATLAB. Advanced Mathematics and Mechanics Applications Using. Third Edition. David Halpern University of Alabama CHAPMAN & HALL/CRC Advanced Mathematics and Mechanics Applications Using MATLAB Third Edition Howard B. Wilson University of Alabama Louis H. Turcotte Rose-Hulman Institute of Technology David Halpern University of Alabama

More information

PRODUCT DATA. Test for I-deas Core Software BZ-6000

PRODUCT DATA. Test for I-deas Core Software BZ-6000 PRODUCT DATA Test for I-deas Core Software BZ-6000 Test for I-deas Core software provides foundation display, data management, and signal processing capabilities and is a prerequisite for most other Test

More information

MATLAB 7. The Language of Technical Computing KEY FEATURES

MATLAB 7. The Language of Technical Computing KEY FEATURES MATLAB 7 The Language of Technical Computing MATLAB is a high-level technical computing language and interactive environment for algorithm development, data visualization, data analysis, and numerical

More information

Contents. Implementing the QR factorization The algebraic eigenvalue problem. Applied Linear Algebra in Geoscience Using MATLAB

Contents. Implementing the QR factorization The algebraic eigenvalue problem. Applied Linear Algebra in Geoscience Using MATLAB Applied Linear Algebra in Geoscience Using MATLAB Contents Getting Started Creating Arrays Mathematical Operations with Arrays Using Script Files and Managing Data Two-Dimensional Plots Programming in

More information

CS 6210 Fall 2016 Bei Wang. Review Lecture What have we learnt in Scientific Computing?

CS 6210 Fall 2016 Bei Wang. Review Lecture What have we learnt in Scientific Computing? CS 6210 Fall 2016 Bei Wang Review Lecture What have we learnt in Scientific Computing? Let s recall the scientific computing pipeline observed phenomenon mathematical model discretization solution algorithm

More information

ADVANCED ALGEBRA/PRECALCULUS CURRICULUM GUIDE

ADVANCED ALGEBRA/PRECALCULUS CURRICULUM GUIDE ADVANCED ALGEBRA/PRECALCULUS CURRICULUM GUIDE Loudoun County Public Schools 2010-2011 Complete scope, sequence, pacing and resources are available on the CD and will be available on the LCPS Intranet.

More information

Voluntary State Curriculum Algebra II

Voluntary State Curriculum Algebra II Algebra II Goal 1: Integration into Broader Knowledge The student will develop, analyze, communicate, and apply models to real-world situations using the language of mathematics and appropriate technology.

More information

6-12 Math Course Sequence Effective

6-12 Math Course Sequence Effective 6-12 Math Course Sequence Effective 2009-2010 Regular Single Acceleration Double Acceleration Grade 6 Everyday Math Pre- Algebra Linear Algebra I Grade 7 Pre-Algebra Linear Algebra I Intermediate Algebra

More information

Excel for Chemists. Second Edition

Excel for Chemists. Second Edition Excel for Chemists Second Edition This page intentionally left blank ExceL for Chemists A Comprehensive Guide Second Edition E. Joseph Billo Department of Chemistry Boston College Chestnut Hill, Massachusetts

More information

CE890 / ENE801 Lecture 1 Introduction to MATLAB

CE890 / ENE801 Lecture 1 Introduction to MATLAB CE890 / ENE801 Lecture 1 Introduction to MATLAB CE890: Course Objectives Become familiar with a powerful tool for computations and visualization (MATLAB) Promote problem-solving skills using computers

More information

Fundamentals of MATLAB Usage

Fundamentals of MATLAB Usage 수치해석기초 Fundamentals of MATLAB Usage 2008. 9 담당교수 : 주한규 joohan@snu.ac.kr, x9241, Rm 32-205 205 원자핵공학과 1 MATLAB Features MATLAB: Matrix Laboratory Process everything based on Matrix (array of numbers) Math

More information

Columbus State Community College Mathematics Department Public Syllabus. Course and Number: MATH 1172 Engineering Mathematics A

Columbus State Community College Mathematics Department Public Syllabus. Course and Number: MATH 1172 Engineering Mathematics A Columbus State Community College Mathematics Department Public Syllabus Course and Number: MATH 1172 Engineering Mathematics A CREDITS: 5 CLASS HOURS PER WEEK: 5 PREREQUISITES: MATH 1151 with a C or higher

More information

Welcome to Microsoft Excel 2013 p. 1 Customizing the QAT p. 5 Customizing the Ribbon Control p. 6 The Worksheet p. 6 Excel 2013 Specifications and

Welcome to Microsoft Excel 2013 p. 1 Customizing the QAT p. 5 Customizing the Ribbon Control p. 6 The Worksheet p. 6 Excel 2013 Specifications and Preface p. xi Welcome to Microsoft Excel 2013 p. 1 Customizing the QAT p. 5 Customizing the Ribbon Control p. 6 The Worksheet p. 6 Excel 2013 Specifications and Limits p. 9 Compatibility with Other Versions

More information

The MAPLE BOOK FRANK GARVAN CHAPMAN & HALL/CRC. A CRC Press Company Boca Raton London New York Washington, D.C.

The MAPLE BOOK FRANK GARVAN CHAPMAN & HALL/CRC. A CRC Press Company Boca Raton London New York Washington, D.C. The MAPLE BOOK FRANK GARVAN CHAPMAN & HALL/CRC A CRC Press Company Boca Raton London New York Washington, D.C. CONTENTS 1. Getting Started 1 1.1 Starting a MAPLE session 1 1.2 Different versions of MAPLE

More information

Wallingford Public Schools - HIGH SCHOOL COURSE OUTLINE

Wallingford Public Schools - HIGH SCHOOL COURSE OUTLINE Wallingford Public Schools - HIGH SCHOOL COURSE OUTLINE Course Title: PreCalculus Course Number: 1523 (A) 1522 (H) Department: Mathematics Grade(s): 11-12 Level(s): Honors and Academic Objectives that

More information

CS 450 Numerical Analysis. Chapter 7: Interpolation

CS 450 Numerical Analysis. Chapter 7: Interpolation Lecture slides based on the textbook Scientific Computing: An Introductory Survey by Michael T. Heath, copyright c 2018 by the Society for Industrial and Applied Mathematics. http://www.siam.org/books/cl80

More information

Contents RELEASE AND UPGRADE NOTES. Version 4.0

Contents RELEASE AND UPGRADE NOTES. Version 4.0 RELEASE AND UPGRADE NOTES HIQ Version 4.0 These notes introduce you to HiQ, describe the system requirements, and contain installation instructions, upgrade information, new features, and updated documentation

More information

Themes in the Texas CCRS - Mathematics

Themes in the Texas CCRS - Mathematics 1. Compare real numbers. a. Classify numbers as natural, whole, integers, rational, irrational, real, imaginary, &/or complex. b. Use and apply the relative magnitude of real numbers by using inequality

More information

b) develop mathematical thinking and problem solving ability.

b) develop mathematical thinking and problem solving ability. Submission for Pre-Calculus MATH 20095 1. Course s instructional goals and objectives: The purpose of this course is to a) develop conceptual understanding and fluency with algebraic and transcendental

More information

(Creating Arrays & Matrices) Applied Linear Algebra in Geoscience Using MATLAB

(Creating Arrays & Matrices) Applied Linear Algebra in Geoscience Using MATLAB Applied Linear Algebra in Geoscience Using MATLAB (Creating Arrays & Matrices) Contents Getting Started Creating Arrays Mathematical Operations with Arrays Using Script Files and Managing Data Two-Dimensional

More information

correlated to the Michigan High School Mathematics Content Expectations

correlated to the Michigan High School Mathematics Content Expectations correlated to the Michigan High School Mathematics Content Expectations McDougal Littell Algebra 1 Geometry Algebra 2 2007 correlated to the STRAND 1: QUANTITATIVE LITERACY AND LOGIC (L) STANDARD L1: REASONING

More information

INDEPENDENT SCHOOL DISTRICT 196 Rosemount, Minnesota Educating our students to reach their full potential

INDEPENDENT SCHOOL DISTRICT 196 Rosemount, Minnesota Educating our students to reach their full potential INDEPENDENT SCHOOL DISTRICT 196 Rosemount, Minnesota Educating our students to reach their full potential MINNESOTA MATHEMATICS STANDARDS Grades 9, 10, 11 I. MATHEMATICAL REASONING Apply skills of mathematical

More information

Contents. I Basics 1. Copyright by SIAM. Unauthorized reproduction of this article is prohibited.

Contents. I Basics 1. Copyright by SIAM. Unauthorized reproduction of this article is prohibited. page v Preface xiii I Basics 1 1 Optimization Models 3 1.1 Introduction... 3 1.2 Optimization: An Informal Introduction... 4 1.3 Linear Equations... 7 1.4 Linear Optimization... 10 Exercises... 12 1.5

More information

The Cantor Handbook. Alexander Rieder

The Cantor Handbook. Alexander Rieder Alexander Rieder 2 Contents 1 Introduction 5 2 Using Cantor 6 2.1 Cantor features....................................... 6 2.2 The Cantor backends.................................... 7 2.3 The Cantor Workspace...................................

More information

PRECALCULUS MR. MILLER

PRECALCULUS MR. MILLER PRECALCULUS MR. MILLER I. COURSE DESCRIPTION This course requires students to use symbolic reasoning and analytical methods to represent mathematical situations, to express generalizations, and to study

More information

Mathematics 6 12 Section 26

Mathematics 6 12 Section 26 Mathematics 6 12 Section 26 1 Knowledge of algebra 1. Apply the properties of real numbers: closure, commutative, associative, distributive, transitive, identities, and inverses. 2. Solve linear equations

More information

CURRICULUM STRUCTURE Topics Covered Term 1: Term 2: Term 3:

CURRICULUM STRUCTURE Topics Covered Term 1: Term 2: Term 3: CURRICULUM STRUCTURE Topics Covered Term 1: Term 2: Term 3: Year 7 The four operations Place value Ordering numbers Inverse operations Perimeter and area of shapes Fractions and Decimals Order of operations

More information

Students are required to have a graphing calculator. Instructors of the course support topics using a TI-84 or TI-89.

Students are required to have a graphing calculator. Instructors of the course support topics using a TI-84 or TI-89. AP Calculus AB Course Design and Philosophy Students conceptualize calculus when it is approached in a variety of methods. The course is taught using multiple strategies including algebraic, numerical,

More information

Appendix A. HINTS WHEN USING EXCEL w

Appendix A. HINTS WHEN USING EXCEL w Appendix A HINTS WHEN USING EXCEL w This appendix provides hints when using Microsoft Excel. Appendix A includes general features that are useful in all the applications solved with Excel in this book.

More information

Multi-sheet Workbooks for Scientists and Engineers

Multi-sheet Workbooks for Scientists and Engineers Origin 8 includes a suite of features that cater to the needs of scientists and engineers alike. Multi-sheet workbooks, publication-quality graphics, and standardized analysis tools provide a tightly integrated

More information

7 Fractions. Number Sense and Numeration Measurement Geometry and Spatial Sense Patterning and Algebra Data Management and Probability

7 Fractions. Number Sense and Numeration Measurement Geometry and Spatial Sense Patterning and Algebra Data Management and Probability 7 Fractions GRADE 7 FRACTIONS continue to develop proficiency by using fractions in mental strategies and in selecting and justifying use; develop proficiency in adding and subtracting simple fractions;

More information

STAT 311 (3 CREDITS) VARIANCE AND REGRESSION ANALYSIS ELECTIVE: ALL STUDENTS. CONTENT Introduction to Computer application of variance and regression

STAT 311 (3 CREDITS) VARIANCE AND REGRESSION ANALYSIS ELECTIVE: ALL STUDENTS. CONTENT Introduction to Computer application of variance and regression STAT 311 (3 CREDITS) VARIANCE AND REGRESSION ANALYSIS ELECTIVE: ALL STUDENTS. CONTENT Introduction to Computer application of variance and regression analysis. Analysis of Variance: one way classification,

More information

The Course Structure for the MCA Programme

The Course Structure for the MCA Programme The Course Structure for the MCA Programme SEMESTER - I MCA 1001 Problem Solving and Program Design with C 3 (3-0-0) MCA 1003 Numerical & Statistical Methods 4 (3-1-0) MCA 1007 Discrete Mathematics 3 (3-0-0)

More information

Mathematics Scope & Sequence Algebra I

Mathematics Scope & Sequence Algebra I Mathematics Scope & Sequence 2016-17 Algebra I Revised: June 20, 2016 First Grading Period (24 ) Readiness Standard(s) Solving Equations and Inequalities A.5A solve linear equations in one variable, including

More information

Calculus Course Overview

Calculus Course Overview Description: Walk in the footsteps of Newton and Leibnitz! An interactive text and graphing software combine with the exciting on-line course delivery to make Calculus an adventure. This course includes

More information

An Introduction to Numerical Analysis

An Introduction to Numerical Analysis Weimin Han AMCS & Dept of Math University of Iowa MATH:38 Example 1 Question: What is the area of the region between y = e x 2 and the x-axis for x 1? Answer: Z 1 e x 2 dx = : 1.9.8.7.6.5.4.3.2.1 1.5.5

More information

Quick. Efficient. Versatile. Graphing Software for Scientists and Engineers.

Quick. Efficient. Versatile. Graphing Software for Scientists and Engineers. Quick. GrapherTM 3 Efficient. Versatile. Graphing Discover the easy-to-use and powerful capabilities of Grapher 3! Your graphs are too important not to use the most superior graphing program available.

More information

Pre-Calculus. Course of Study

Pre-Calculus. Course of Study Pre-Calculus (Course #341) Course of Study Findlay City Schools 2006 Pre-Calculus TABLE OF CONTENTS 1. Findlay City Schools Mission Statement and Beliefs 2. Pre-Calculus Curriculum Map 3. Pre-Calculus

More information

Mathematical Tools in Computer Graphics with C# Implementations Table of Contents

Mathematical Tools in Computer Graphics with C# Implementations Table of Contents Mathematical Tools in Computer Graphics with C# Implementations by Hardy Alexandre, Willi-Hans Steeb, World Scientific Publishing Company, Incorporated, 2008 Table of Contents List of Figures Notation

More information

GraphPad Prism Features

GraphPad Prism Features GraphPad Prism Features GraphPad Prism 4 is available for both Windows and Macintosh. The two versions are very similar. You can open files created on one platform on the other platform with no special

More information

Trigonometry To learn more about all our offerings Visit Knewton.com

Trigonometry To learn more about all our offerings Visit Knewton.com Trigonometry 978-1-63545-099-6 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Jay Abramson, Arizona State University

More information

East Penn School District Secondary Curriculum

East Penn School District Secondary Curriculum East Penn School District Secondary Curriculum A Planned Course Statement for Analytic Geometry and Calculus (BC) AP Course # 360 Grade(s) 12 Department: Math ength of Period (mins.) 41 Total Clock Hours:

More information

Table of Contents. Introduction.*.. 7. Part /: Getting Started With MATLAB 5. Chapter 1: Introducing MATLAB and Its Many Uses 7

Table of Contents. Introduction.*.. 7. Part /: Getting Started With MATLAB 5. Chapter 1: Introducing MATLAB and Its Many Uses 7 MATLAB Table of Contents Introduction.*.. 7 About This Book 1 Foolish Assumptions 2 Icons Used in This Book 3 Beyond the Book 3 Where to Go from Here 4 Part /: Getting Started With MATLAB 5 Chapter 1:

More information

SECONDARY DRAFT SYLLABUS. 2. Representation of functions. 3. Types of functions. 4. Composition of functions (two and three)

SECONDARY DRAFT SYLLABUS. 2. Representation of functions. 3. Types of functions. 4. Composition of functions (two and three) et et et CLASS IX Topic :Set Language et et 1. Describing and representing sets SECONDARY DRAFT SYLLABUS Able to describe a set in Descriptive, Set- builder and roster forms and through Venn diagram. Use

More information

Introduction to Applied and Pre-calculus Mathematics (2008) Correlation Chart - Grade 10 Introduction to Applied and Pre-Calculus Mathematics 2009

Introduction to Applied and Pre-calculus Mathematics (2008) Correlation Chart - Grade 10 Introduction to Applied and Pre-Calculus Mathematics 2009 Use words and algebraic expressions to describe the data and interrelationships in a table with rows/columns that are not related recursively (not calculated from previous data) (Applied A-1) Use words

More information

DERIVE interfaces with Word and Multi Edit

DERIVE interfaces with Word and Multi Edit DERIVE interfaces with Word and Multi Edit A. I. Kirillov Department of Higher Mathematics Moscow Institute of Power Engineering Krasnokazarmennaya 14, Moscow, 105835, Russia E-mail: tmph@mi.ras.ru 1 Abstract

More information

SAS (Statistical Analysis Software/System)

SAS (Statistical Analysis Software/System) SAS (Statistical Analysis Software/System) SAS Adv. Analytics or Predictive Modelling:- Class Room: Training Fee & Duration : 30K & 3 Months Online Training Fee & Duration : 33K & 3 Months Learning SAS:

More information

The O key will power the unit on. To turn the unit off, press the yellow L key, then O key.

The O key will power the unit on. To turn the unit off, press the yellow L key, then O key. fx-9860gii Quick Reference Guide Selecting the RUN Q icon will allow you to perform general computations and arithmetic. The function keys allow you to access the tab (soft key) menus that will come up

More information

Important. Compact Trigonometry CSO Prioritized Curriculum. Essential. Page 1 of 6

Important. Compact Trigonometry CSO Prioritized Curriculum. Essential. Page 1 of 6 Essential Important Compact Trigonometry CSO Prioritized Curriculum M.O.T.3.1 apply the right triangle definition of the six trigonometric functions of an angle to determine the values of the function

More information

Pre AP Geometry. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry

Pre AP Geometry. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry Pre AP Geometry Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry 1 The content of the mathematics standards is intended to support the following five goals for students: becoming

More information

Illinois Math Assessment Framework, Grade 7. correlated to

Illinois Math Assessment Framework, Grade 7. correlated to Illinois Math Assessment Framework, Grade 7 correlated to Grade 7 correlated to Chapter 1 Variables, Expressions, and Integers (pp. 1 61) Lesson 1.1 (pp. 5 9) Expressions and Variables Evaluate and write

More information

What s New. Top 10 Reasons to Upgrade. Parallel Performance. Automatic Parallelism. The Essential Tool for Mathematics and Modeling

What s New. Top 10 Reasons to Upgrade. Parallel Performance. Automatic Parallelism. The Essential Tool for Mathematics and Modeling The Essential Tool for Mathematics and Modeling What s New Parallel Performance Maple TM 15 offers numerous options to take advantage of parallel computing, from multi-core machines to large-scale compute

More information

MATHEMATICS Curriculum Grades 10 to 12

MATHEMATICS Curriculum Grades 10 to 12 MATHEMATICS Curriculum Grades 10 to 12 Grade 10 Number systems Algebraic Expressions expressions Products (Ch. 1) Factorisation Term 1 Exponents (Ch. 2) Number patterns (Ch. 3) (CH.4) Notation, rules,

More information

Archbold Area Schools Math Curriculum Map

Archbold Area Schools Math Curriculum Map Math 8 August - May Mathematical Processes Formulate a problem or mathematical model in response to a specific need or situation, determine information required to solve the problem, choose method for

More information

Prentice Hall Pre-Algebra 2004 Correlated to: Hawaii Mathematics Content and Performance Standards (HCPS) II (Grades 9-12)

Prentice Hall Pre-Algebra 2004 Correlated to: Hawaii Mathematics Content and Performance Standards (HCPS) II (Grades 9-12) Hawaii Mathematics Content and Performance Standards (HCPS) II (Grades 9-12) NUMBER AND OPERATIONS STANDARD 1: Students understand numbers, ways of representing numbers, relationships among numbers, and

More information

Math 226A Homework 4 Due Monday, December 11th

Math 226A Homework 4 Due Monday, December 11th Math 226A Homework 4 Due Monday, December 11th 1. (a) Show that the polynomial 2 n (T n+1 (x) T n 1 (x)), is the unique monic polynomial of degree n + 1 with roots at the Chebyshev points x k = cos ( )

More information

Mathematica CalcCenter

Mathematica CalcCenter Mathematica CalcCenter Basic features Wolfram Mathematica CalcCenter is based on Mathematica Professional and it is primarily designed for technical calculations. Information about this product can be

More information

SECOND SEMESTER BCA : Syllabus Copy

SECOND SEMESTER BCA : Syllabus Copy BCA203T: DATA STRUCTURES SECOND SEMESTER BCA : Syllabus Copy Unit-I Introduction and Overview: Definition, Elementary data organization, Data Structures, data structures operations, Abstract data types,

More information

Activity Overview A basic introduction to the many features of the calculator function of the TI-Nspire

Activity Overview A basic introduction to the many features of the calculator function of the TI-Nspire TI-Nspire Activity: An Introduction to the TI-Nspire Calculator Function By: Leigh T Baker Activity Overview A basic introduction to the many features of the calculator function of the TI-Nspire Concepts

More information

correlated to the Illinois Mathematics Performance Descriptors

correlated to the Illinois Mathematics Performance Descriptors correlated to the Illinois Mathematics Performance Descriptors McDougal Littell Middle School Math, Courses 1-3 and McDougal Littell correlated to the Note: All page references are from the Pupil s Edition/Teacher

More information

SAS (Statistical Analysis Software/System)

SAS (Statistical Analysis Software/System) SAS (Statistical Analysis Software/System) SAS Analytics:- Class Room: Training Fee & Duration : 23K & 3 Months Online: Training Fee & Duration : 25K & 3 Months Learning SAS: Getting Started with SAS Basic

More information

POLYMATH POLYMATH. for IBM and Compatible Personal Computers. for IBM and Compatible Personal Computers

POLYMATH POLYMATH. for IBM and Compatible Personal Computers. for IBM and Compatible Personal Computers POLYMATH VERSION 4.1 Provides System Printing from Windows 3.X, 95, 98 and NT USER-FRIENDLY NUMERICAL ANALYSIS PROGRAMS - SIMULTANEOUS DIFFERENTIAL EQUATIONS - SIMULTANEOUS ALGEBRAIC EQUATIONS - SIMULTANEOUS

More information

Polymath 6. Overview

Polymath 6. Overview Polymath 6 Overview Main Polymath Menu LEQ: Linear Equations Solver. Enter (in matrix form) and solve a new system of simultaneous linear equations. NLE: Nonlinear Equations Solver. Enter and solve a new

More information

Integrated Math I. IM1.1.3 Understand and use the distributive, associative, and commutative properties.

Integrated Math I. IM1.1.3 Understand and use the distributive, associative, and commutative properties. Standard 1: Number Sense and Computation Students simplify and compare expressions. They use rational exponents and simplify square roots. IM1.1.1 Compare real number expressions. IM1.1.2 Simplify square

More information

Part VI. Scientific Computing in Python. Alfredo Parra : Scripting with Python Compact Max-PlanckMarch 6-10,

Part VI. Scientific Computing in Python. Alfredo Parra : Scripting with Python Compact Max-PlanckMarch 6-10, Part VI Scientific Computing in Python Compact Course @ Max-PlanckMarch 6-10, 2017 63 Doing maths in Python Standard sequence types (list, tuple,... ) Can be used as arrays Can contain different types

More information

Enduring Understandings: Some basic math skills are required to be reviewed in preparation for the course.

Enduring Understandings: Some basic math skills are required to be reviewed in preparation for the course. Curriculum Map for Functions, Statistics and Trigonometry September 5 Days Targeted NJ Core Curriculum Content Standards: N-Q.1, N-Q.2, N-Q.3, A-CED.1, A-REI.1, A-REI.3 Enduring Understandings: Some basic

More information

Prerequisites: Completed Algebra 1 and Geometry and passed Algebra 2 with a C or better

Prerequisites: Completed Algebra 1 and Geometry and passed Algebra 2 with a C or better High School Course Description for Honors Math Analysis Course Title: Honors Math Analysis Course Number: MTH461/462 Grade Level: 10-12 Meets a UC a-g Requirement: Pending Curricular Area: Mathematics

More information

Game Mathematics. (12 Week Lesson Plan)

Game Mathematics. (12 Week Lesson Plan) Game Mathematics (12 Week Lesson Plan) Lesson 1: Set Theory Textbook: Chapter One (pgs. 1 15) We begin the course by introducing the student to a new vocabulary and set of rules that will be foundational

More information

X Std. Topic Content Expected Learning Outcomes Mode of Transaction

X Std. Topic Content Expected Learning Outcomes Mode of Transaction X Std COMMON SYLLABUS 2009 - MATHEMATICS I. Theory of Sets ii. Properties of operations on sets iii. De Morgan s lawsverification using example Venn diagram iv. Formula for n( AÈBÈ C) v. Functions To revise

More information

PRESCOTT UNIFIED SCHOOL DISTRICT District Instructional Guide Revised 6/3/15

PRESCOTT UNIFIED SCHOOL DISTRICT District Instructional Guide Revised 6/3/15 PRESCOTT UNIFIED SCHOOL DISTRICT District Instructional Guide Revised 6/3/15 Grade Level: PHS Subject: Precalculus Quarter/Semester: 1/1 Core Text: Precalculus with 1 st week Chapter P - Prerequisites

More information

Willmar Public Schools Curriculum Map

Willmar Public Schools Curriculum Map Subject Area Mathematics Senior High Course Name Advanced Algebra 2B Date June 2010 Advanced Algebra 2B and Algebra 2B courses parallel each other in content and time. The Advanced Algebra 2B class is

More information

TASC Test Mathematics

TASC Test Mathematics Tutorial Outline TASC Test Assessing Secondary Completion Tutorials are based on specifications found in TASC Test information for publishers which includes alignment to Common Core State Standards and

More information

Curriculum Map for Accelerated Probability, Statistics, Trigonometry

Curriculum Map for Accelerated Probability, Statistics, Trigonometry Curriculum Map for Accelerated Probability, Statistics, Trigonometry Statistics Chapter Two September / October Targeted Standard(s): N-Q.1, N-Q.2, N-Q.3, S-ID.1, S-ID.2, S-ID.3, S-IC.1, S-IC.2, S-IC.3,

More information

Guide to Planning Functions and Applications, Grade 11, University/College Preparation (MCF3M)

Guide to Planning Functions and Applications, Grade 11, University/College Preparation (MCF3M) Guide to Planning Functions and Applications, Grade 11, University/College Preparation (MCF3M) 006 007 Targeted Implementation and Planning Supports for Revised Mathematics This is intended to provide

More information

Data-Driven Modeling. Scientific Computation J. NATHAN KUTZ OXPORD. Methods for Complex Systems & Big Data

Data-Driven Modeling. Scientific Computation J. NATHAN KUTZ OXPORD. Methods for Complex Systems & Big Data Data-Driven Modeling & Scientific Computation Methods for Complex Systems & Big Data J. NATHAN KUTZ Department ofapplied Mathematics University of Washington OXPORD UNIVERSITY PRESS Contents Prolegomenon

More information

TEACHER CERTIFICATION STUDY GUIDE KNOWLEDGE OF MATHEMATICS THROUGH SOLVING...1

TEACHER CERTIFICATION STUDY GUIDE KNOWLEDGE OF MATHEMATICS THROUGH SOLVING...1 TABLE OF CONTENTS COMPETENCY/SKILLS PG # COMPETENCY 1 KNOWLEDGE OF MATHEMATICS THROUGH PROBLEM SOLVING...1 Skill 1.1 Skill 1.2 Skill 1.3 Skill 1.4 Identify appropriate mathematical problems from real-world

More information

Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse

Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse Tutorial Outline Ohio Tutorials are designed specifically for the Ohio Learning Standards to prepare students for the Ohio State Tests and end-ofcourse exams. Math Tutorials offer targeted instruction,

More information