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 ______________________________

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.

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