Application No.______________

 

TEACHER INCENTIVE TECHNOLOGY GRANTS APPLICATION PCHS- 2003

 

GRANT CONTACT                                         Beth Glover

OTHER TEACHER CO-APPLICANTS          Nancy Kenneally

Amy Hagerty

Michael Capeto

DEPARTMENT                                               Math                    

GRADE/SUBJECT                                         Algebra 1A & 1B, Algebra I, Geometry, Algebra II,

Trigonometry, AP Statistics, AP Calculus

ROOM NUMBER                                            P-20

 

AMOUNT OF PERIPHERAL FUNDS REQUESTED       $1,200.00

AMOUNT OF SOFTWARE FUNDS REQUESTED         $1,762.00

 

TEACHER’S SIGNATURE ______________________________

 

SOFTWARE

 

1.   SUMMARY – SUMMARIZE WHAT YOU INTEND TO PURCHASE AND ITS EDUCATIONAL RELEVANCE.

 

We will purchase William K Bradford’s Mathematics site license for TestBuilder and several

test banks.  This software is a powerful authoring tool that combines word processing,

database, and layout capabilities.  This includes an equation editor with Math/Science fonts

to help with writing test questions and Zap-a-Graph Lite for graphs.  Practice sheets and

tests can be created in minutes using this software.

 

TestBuilder is organized according to specific goals and provides valuable review and practice for students as they prepare to the FCAT.  Test scores allow us to evaluate the effectiveness of our teaching and the pedagogical methods we employ, thus ensuring a high quality education for our students.  Students’ test scores can tell us much about the progress of students relative to the educational goals we have set.  Using TestBuilder will allow us to create tests that actually access what we are teaching.  This software also allows us to create several versions of the same test to discourage cheating. 

 

2.  ACTIVITIES – EXPLAIN THE ACTIVITIES YOU WILL DO USING THIS TECHNOLOGY.

 

One activity this software will be used for is test review Jeopardy.  The software can be used

to generate questions for a Jeopardy review game (see attached sample) as well as the

actual test. 

 

Provide a comprehensive review for state tests using open-ended, short response, and multiple-choice items.  Attached is one sample assessment created with TestBuilder.  This sample is in multiple-choice format.

 

Supplements our textbook by providing appropriate practice and assessment.

 

Help diagnose students’ strengths and weaknesses.

 

See Attachment 1 for detailed information on each test bank.

 

3.   BUDGET – DETAIL YOUR BUDGET.  ONCE YOU HAVE BEEN SELECTED TO RECEIVE

A GRANT PURCHASE ORDERS WILL BE REQUESTED FOR EACH ITEM.

 

TestBuilder (site license)                          $149.00

Graph Paper Plus (site license)               $  98.00

101 Puzzle Problems                               $  39.00

Algebra I                                                    $  87.00

Algebra I – Word Problems                      $  99.00

Algebra II                                                   $129.00

Algebra II – Word Problems                      $  99.00

AP Statistics                                             $149.00

Basic Math                                                $  66.00

Calculus AB                                              $198.00

Challenging Geometry Computations      $  79.00

Geometry                                                  $  66.00

Math Coach Trigonometry                        $  75.00

Pre-Algebra Skills                                     $  56.00

PreCalculus                                              $  75.00

Real-Life Word Problems                         $  51.00

SAT I Math Prep                                        $149.00

Standards – Level 3                                  $  89.00

 

Total                                                    $1,762.00

Total Per Applicant/Co-applicant        $   440.50


Attachment 1 – Page 1

 

101 Puzzle Problems

This test bank is used to strengthen problem-solving techniques.  The questions, combined

with comments and fully explained solutions, are intended to show your students how to

launch an attack on a problem.  Most of the problems do not require an extensive

knowledge of mathematics other than arithmetic and elementary Algebra.

Algebra I                     

This test bank contains nearly 1,000 multiple-choice questions organized by 14 units

covering 183 topics.  Each question is cross-referenced to a specific learning objective via

an identifier code.  Units covered include real number properties, expressions and

equations, inequalities, real numbers, polynomials, linear equations, rational expressions,

radical expressions, quadratics, and relations and functions.

Algebra I – Word Problems   

This test bank is a database of over 1,000 traditional word problems in free response format

with detailed solutions.  The topics include number problems, perimeter and area problems,

age problems, ration and percent problems, using formulas, completing tables, rate, time

and distance problems, work problems, problems involving systems of equations, direct and

indirect variation problems, and rate of change problems.

Algebra II              

This test bank contains more than 2,000 multiple choice questions organized by 18 units

covering more than 300 topics.  Each question is cross-referenced to a specific learning

objective via an identifier code.  Units covered include: linear equations and inequalities,

exponents, polynomials and factoring, rational numbers and expressions, radicals and

rational exponents, complex numbers and quadratic equations, coordinate geometry, conic

sections, trigonometric functions, trigonometric graphs and identities and logarithms.

Algebra II – Word Problems   

This test bank is a database of over 1,000 traditional Algebra II word problems in free

response formal with detailed solutions including problems covering topics such as distance

problems, area and volume problems, age problems, work problems, using formulas, direct

and inverse variation problems, sequences and series, trigonometric applications, rate of

change problems, and maximization problems.

AP Statistics              

This test bank consists of over 750 multiple choices and free response questions that cover six general statistics units and are intended to prepare students for ht AP Statistics exam.  The topics in the test bank include univariate data, bivariate data, surveys and experiments, probability and discrete distributions, confidence intervals, hypothesis testing.  Free response questions come with answers fully worked out, including samples of required graphs, and the multiple choice questions also complete with a complete answer key.

Basic Math                 

This test bank contains more than 1,000 multiple-choice questions, organized by 12 units covering 273 topics.  Each question is cross-referenced to a specific learning objective via an identifier code.  Units covered include whole numbers, fractions, decimals, percentages, using the calculator, measurement, statistics, graphs, geometry, and the number plane.

 

Calculus AB

This test bank contains over 1,000 questions organized by topic and cross-referenced to specific objectives covering 145 topics.  Over 200 graphics and diagrams are included within the questions.  Topics include elementary functions, limits, the derivative, derivative applications, the definite integral, the indefinite integral, and integration applications. 

 

Attachment 1 – Page 2

 

Questions are provided in both multiple choice and free response formal, typical of standardized exams.

Challenging Geometry Computations

This test bank engages students in basic strategies and manipulating skills that are needed for reasoning to geometric solutions.  Over 200 open-ended questions with detailed worked solutions are organized along the following topics: lines and angles, triangles, quadrilaterals and polygons, circles, measurements in space.               

Geometry

This test bank contains more than 1,000 multiple choice questions organized by 14 units with over 300 topics and hundreds of graphics.  Each question is cross-referenced to a specific learning objective via an identifier code.  Units covered include: points, lines and planes, angles, triangles, parallel or perpendicular lines, polygons, circles, angles and arcs, areas of polygonal regions, ratio, proportion and similarity, regular polygons and circle.

Pre-Algebra Skills

This test bank includes thousands of free response questions, covering the concepts and skills essential for success in a first-year Algebra course.  Topics include whole numbers, number theory, decimals, fractions, proportions, percents, money, integers, rationals, exponents, polynomials, measurement, order of operations, equations, inequalities and word problems.  

PreCalculus                     

This test bank contains 900 multiple choice and free response questions, organized by topic, covering 225 objectives in a PreCalculus course, with answers for each question.  Four questions of varying levels of difficulty are provided for each objective.  Topics covered include relations and functions, trigonometric functions, second-degree relations, polynomial functions, sequences and series, exponential functions, logarithmic functions, limits of functions and the derivative.

Real-Life Word Problems      

This test bank challenges students to think mathematically using a database of over 500 questions written to access the NCTM and FCAT standards.  Provide students with practice in developing their problem solving skills.  These free-response questions require a wide variety of strategies.  The test bank is divided into five units; the concepts included are 1) number relationships and number theory, 2) estimation and computation, 3) patterns, functions, and algebra, 4) statistics and probability, and 5) geometry and measurement.

SAT I Math Prep

This test bank is a set of over 1,300 questions organized across four major topics: Pre-Algebra/Algebra/Geometry/Other (probability, interpreting, graphs, etc).  Questions are further categorized according to 28 subtopics, by objectives within each subtopic, and by difficulty level: easy/medium and medium/hard.  These multiple choice, grid-in, and quantitative comparison questions help integrate the thinking process required on the SAT into your Pre-Algebra, Algebra, and Geometry courses.

Standards – Level 3   

This test bank includes more than 750 multiple choice questions following the NCTM 9-12 curriculum standards.  The databases serve as a perfect source for questions that will help students prepare and review for both state and national standardized tests.  The topics covered are problem solving, communication, reasoning, connections, algebra, functions, geometry, algebraic geometry, trigonometry, statistics, probability, discrete mathematics, and mathematical structure.

 

 

PERIPHERAL

 

1.         SUMMARY – SUMMARIZE WHAT YOU INTEND TO PURCHASE AND ITS EDUCATIONAL RELEVANCE.

 

We will purchase three TI-83 plus silver edition view screen packages.  These three packages will be shared among the four grant writers.  The package includes a carrying case, view screen panel, ac adapter, guidebook, view screen calculator, unit-to-unit link, calculator poster, transparency, and a one-year subscription to EXPLORATIONS Online.

 

Graphing calculators are a valuable educational tool that allows students to reach a higher level of mathematical power and understanding.  By reducing the time that, in the past, was spent on learning and performing tedious paper-and-pencil arithmetic and algebraic algorithms, calculator use today allows students and teacher to spend more time developing mathematical understanding, reasoning, number sense, and applications.  They afford student learning tools that complement, but do not replace, mental and paper-and-pencil skills. 

 

Rote computations and tedious algebraic manipulations have historically turned many students away from mathematics.  The subject of mathematics has traditionally been memorizing formulas and substituting numbers in equations, drilling endlessly, and performing long, monotonous computations.  The students who could perform these manipulations and computations quickly and accurately were considered to be mathematically inclined; those who were turned off by the mechanical operations were thought to be poor math students.  Calculator technology allows students who would ordinarily be frustrated or bored by these tedious manipulations to have access to the real mathematics itself, thus gaining a higher level of mathematical understanding, rather than giving up.  The fact is calculators are better tools to do some of the computations and manipulations that were once done with paper and pencil.  In the past, paper and pencil were the only tools available.  Appropriate use of technology and associated pedagogy will get more students thinking and reasoning mathematically.  Thus more people will develop useful mathematical understanding and mathematical power.

 

 PCHS’s mathematics department has a unified goal of increasing students SAT scores.  A study by Janice Scheuneman and Wayne Camara (published on the College Board web site) showed that almost all of the students brought calculators to the administration of the SAT I test in 1996 and 1997 and continue to do so today.  The number who actually used the calculators on the test and the extent to which they used them varied across students.  Performance on the math sections of the exam was associated with the extent of calculator use, with those using calculators on about a third to half of the items averaging higher scores than those using Calculators more or less frequently.  Performance differences associated with the type of calculator used were also observed.

 

2.         ACTIVITIES – EXPLAIN THE ACTIVITIES YOU WILL DO USING THIS TECHNOLOGY.

 

            EXPLORATIONS Online has over 1,000 activities for algebra, geometry, statistics, calculus, and biology – all correlated to state and national standards. 

 

Graphing calculators do not “replace” traditional mathematics content.  Graphing calculators are used to give a visualization presentation of the mathematics.  Some things we can use the graphing calculators for are as follows:

 

      1.   Approach and solve problems numerically using tables, etc.

      2.   Graphically SUPPORT the results of applying algebraic paper and pencil manipulations

            to solve equations and inequalities.

      3.   Solve equations and inequalities using graphing calculators and then confirm the results

            using analytic algebraic paper and pencil methods.

      4.   Model, simulate and solve problem situations using graphing calculators and then

            confirm, when possible using analytic algebraic paper and pencil methods.

      5.   Use graphing calculator generated scenarios to illustrate mathematical concepts.

      6.   Use graphing calculator methods to solve equations and inequalities that can not be

            solved using analytic or algebraic methods.

      7.   Conduct mathematical experiments assisted by graphing calculators to make and test

            conjectures.

      8.   Use graphing calculators to study and classify the behavior of different classes of

            functions.

      9.   Use graphing calculators to foreshadow concepts that will be encountered in later courses

            (to build intuition).

      10.  Use graphing calculators to investigate and explore the various connections among

            different representations of a problem situation.

 

3.         BUDGET – DETAIL YOUR BUDGET.  ONCE YOU HAVE BEEN SELECTED TO RECEIVE A GRANT PURCHASE ORDERS WILL BE REQUESTED FOR EACH ITEM.

 

      3 TI-83 Plus Silver Edition ViewScreen packages @ $400.00 each

 

Total                                                    $1,200.00

Total Per Applicant/Co-applicant        $   300.00