THE CORE of MATH: UNDERSTANDING PART/WHOLE RELATIONS
Nearly all students can do decimal/fractions when counting money or making change. The relation of parts (Quarters) to wholes (Dollars) is a lot more concrete to them, and a field where their past experience helps. But fewer than 25% of students can consistently do Percents, Decimals and Fractions well. This site has over 40 valuable links centered on this core math area. It can be a KEY resource for you in teaching, a site you may want to put on your own web page for students and their families, and one you may want to use to brush up on this critical area of math.
Understanding systems, being able to analyze situations, as well as more specific functions as doing taxes and shopping for bargains, are all based in this type of thinking. It really separates adults from children when it comes to both math and life! Give it the priority it is due!
NUMBER SENSE and
Page 7: Strand Review
Pages 19-20: Grades 5-6 Learning Standards
Page 43: Grades 7-8 Learning Standards
Page #'s Refer to Mass. Curriculum Math Frameworks
REPRESENT EQUIVALENT FORMS OF NUMBERS
Relationships among Fractions, Decimals and Percents
- Rick's Math Web --
A great page from a great site! Lots of tutorials, demonstrations, worksheets
and activities on fractions from Rick's Math Web!
Conversion -- This amazing site has more activities than you can shake a fraction at ...
all designed to help students understand fractions, their properties,
and how they relate to integers and decimals. Included on this page are
calculators which convert mixed numbers to improper fractions, compute
all factors of a given integer, calculate Greatest Common Factors and
Least Common Multiples, and reduce proper fractions.
Check out these interactive quizzes! Students are given multiple choice math
questions on the topic of their choice (topics include Whole Numbers,
Fractions, Decimals, Ratio, Percent, Units of Measurement, Metric System,
Rational Numbers, Geometry, Algebra) and can select specialty problems
within each topic! After submitting an answer, students receive automated
feedback, and the site keeps a "scorecard" of the problems completed
AAAmath.com, dozens of lessons and activities surrounding fractions, including
converting fractions to decimals, percents, and scientific notation.
Baked Fractions -- Fun
from funbrain.com! An online game where the goal is to find the fraction
that is not equivalent to the others! Choose from four levels of difficulty.
and Decimal Drills -- Dozens
of online worksheets for practicing essential fraction and decimal skills,
along with a brief online fraction tutorial.
and Decimals - Webmath -- From
the Discovery School Online, a great series of lessons and demonstrations
on Fractions and Decimals.
Conversions -- A
comprehensive site with several activities for converting decimals to
fractions (and vice-versa)!
to Fractions -- It may be easy to convert a fraction into a decimal, but what about converting
decimal into fractions? This applet page lets you type in a decimal, and
will find several fractions that are perilously close to being equal
From George Mason University, an overview of computing percentages. Several
real-world examples! Several helpful hints, including the conversion of
fractions to percentages.
Lots of activities - including calculators and practice tests - that explain
percentages and their relationship to decimals and fractions.
between Percentages and Fractions
is a percentage?
Notation - Regent's Prep Site -- A
great site developed by the New York Dept. of Education to help students
prepare for their mathematics exams! This page includes the following
lessons and activities: Introduction to Scientific Notation, Changing
Standard Form to Scientific Notation, Changing Scientific Notation to
Standard Form, Multiplication/Division with Scientific Notation, Practice
with Scientific Notation.
- Scientific Notation -- From
AAAmath.com, great lessons and activities surrounding scientific notation.
Notation Basics -- This
site explains the basics of scientific notation, and includes several
challenging problems along the way!
Notation and Decimals
Notation -- These three pages provide a comprehensive overview of scientific notation, exponents
and expanded forms. Dozens of activities, and several quizzes!
is an exponent?
-- From George Mason University, an entertaining, brief introduction to exponent
concepts and terminology, an overview of several key exponent concepts,
including reciprical and distributive properties, and a detailed look
at the reciprical properties of exponents.
Math - Lessons in Scientific Notation
Notation: Why Use Exponents?
Notation: Significant Digits
Notation: Positive and Negative Exponents
Notation: Rounding to One-Digit Accuracy
RATIOS, PROPORTIONS, PERCENT
Proportion, Percent - Regent's Prep Site
three pages provide a comprehensive overview of ratio, proportion and
percents. Dozens of activities, and several quizzes!
- Percentages --
From George Mason University, these pages provide definitions and explanations
of key concepts surrounding ratio and proportions, and computing percentages.
Problem Drills - Percentage -- A
great on-line interactive drill! See how accurately you can solve word
problems on Percentage! Immediate feedback!
from Data -- Dr.
Math describes how to calculate statistical percentages from real-world
data, using one of the most entertaining student questions ever asked!
for X in a percentage equation -- Dr.
Math shows how to calculate percentages algebraically!
and Proportion PageA
wealth of information on ratios and proportions, including a module on
distance, rate and time.
AND TWO-DIMENSIONAL GRAPHS
Relations -- Several
great activities that provide an excellent introduction and overview to
graphing of data!
on Number Lines -- From
Math for Morons Like Us, a series of lessons on how to plot number line
Applet -- Great
applet that allows you to change dimensions of an equation, and watch
how the graph of a line changes!
Equations -- From
Syracuse University, a brief tutorial on graphing equations.
WORCESTER STATE COLLEGE, MA 01602-2597