xii
Dear Students,
You are about to begin a very important year in your study of mathematics. As you
prepare for your future Algebra course, there are significant foundational concepts and
skills that will be important for you to master. Your progress in using problem-solving
skills will also play a valuable role in your success in Algebra. We have written this book
to strengthen your mathematical foundations as well as your problem-solving skills.
Many students think that success in math is just a matter of talent. Yet we know from
research studies that success in math results from the effort you make and the learning
habits that you develop. You probably realize that most math concepts build on what
you have learned earlier. You can use this knowledge to your advantage by making sure
you understand each concept before moving on to the next. Ask yourself how new
concepts relate to ones you have learned earlier. Think about how problems you
encounter are like ones you have solved earlier. Making these connections will help you
to become more confident in your ability to solve problems. To help you develop your
problem-solving skills, we have included lessons on problem-solving strategies in every
chapter. Make a habit of thinking of these strategies as important tools you can use in
your everyday mathematics work as well as in your everyday life.
The study of mathematics offers more than computational and problem-solving skills,
as you will learn in the Enrichmentfeature in each chapter. These Enrichmenttopics
will illuminate the math curriculum and give valuable insight into the special beauty of
mathematics.
We know that this book can help you to value math, to develop confidence about
your mathematical work, and to learn to reason and communicate more effectively.
We wish you the best this year.
The Authors
Edward William Quinn
Director of Elementary Curriculum and Instruction
Archdiocese of Philadelphia
Philadelphia, PA
Alfred S. Posamentier
Dean, School of Education and
Professor of Mathematics Education
The City College
The City University of New York
New York, NY
Catherine D. LeTourneau
Department Chairperson of Advanced Mathematics
Faculty Mathematics Curriculum Advisor
St. Catharine of Siena School
Reading, PA
8207-7_SB7_xii-xviii_Intro.qxd:Layout 1 4/17/08 2:43 PM Page xii