# Math Yellow Pages For Students And Teachers by INCENTIVE PUBLICATIONS IP890

## SKILLS THAT MAKE A MATH WHIZ

Whole Numbers & Counting
• Recognize that numerals name numbers
• Associate word names with their corresponding numerals
• Identify equivalent and non-equivalent sets
• Arrange sets in order of size
• Count to 100 and higher (forwards & backwards)
• Count the union of two or more sets
• Skip-count by twos, fives, tens, and other intervals (forwards & backwards)
• Read and write numerals of 1-digit through 6-digits
• Read and write large numbers: millions, billions, and trillions
• Associate numerals with intervals along a number line
• Classify objects into sets
• Associate numerals with sets; write numerals to match sets
• Identify place value for 1-6 digit numerals
• Identify place value for numbers of 1,000,000 or greater
• Express numerals of 1-7 places in expanded notation
• Rename tens as ones, hundreds as tens, and thousands as hundreds
• Rename places of greater value than thousands
• Use whole number concepts in problem-solving situations
• Identify positive and negative integers
• Read and write Roman numerals
• Experiment with a non-decimal based numeration system
• Read exponential numbers

## Number Concepts & Relationships

• Identify even and odd numbers
• Identify prime and composite numbers
• Order whole numbers
• Order integers
• Order fractional numbers
• Order decimal numbers
• Recognize ordinal positions (first through tenth)
• Recognize a whole as greater than any of its parts
• Understand the value of 0
• Understand and use the concepts of equality and inequality and the symbols =, < and >
• Compare numbers using words and the symbols < and >
• Complete sequences of whole numbers or integers
• Recognize and extend number patterns
• Describe relationships between numbers
• Round whole numbers to the nearest 10, 100, and 1,000
• Round whole numbers to the nearest 10,000, 100,000 and 1,000,000
• Identify and use number properties

## Addition & Subtraction

• Learn sums through 20 or higher
• Use the terms addend, sum, and difference, and the symbols + and –
• Understand the inverse relationship between addition and subtraction
• Learn fact families through 20 or higher
• Recognize 0 as the identity element for addition
• Use the commutative and associative properties for addition
• Use a number line to find sums and differences
• Add and subtract vertically and horizontally
• Find sums and differences with 1- to 6-digit numerals
• Add and subtract with more than six digits
• Estimate sums and differences
• Check addition problems with subtraction and subtraction problems with addition
• Add and subtract without renaming
• Add and subtract with renaming
• Add long columns of numbers
• Solve word problems using addition and subtraction facts

## Multiplication & Division

• Understand multiplication as the joining of equivalent subsets
• Understand division as the separation of sets into equivalent subsets
• Understand multiplication as repeated addition and division as repeated subtraction
• Recognize the inverse relationship of multiplication and division
• Use the terms factor, product, divisor, quotient, and remainder, and the symbols x and ÷
• Learn and use multiplication facts for factors through 10 or higher
• Learn fact families for products through 100
• Solve multiplication and division problems using a number line
• Recognize 1 as the identity element for multiplication and division
• Use the commutative, associative, and distributive properties of multiplication
• Understand the role of 0 in multiplication and division
• Multiply by a 1- to 4-digit number
• Multiply by large numbers
• Multiply and divide by 10 and multiples of 10
• Identify multiples of numbers 1–15
• Identify factors of a number; distinguish between prime and composite factors
• Complete prime factorization using factor trees
• Find the GCF (Greatest Common Factor) of two or more numbers
• Find the LCM (Least Common Multiple) of two or more numbers
• Divide by 1-digit divisors
• Divide by numbers of 2 or more digits
• Complete division problems that have remainders
• Use division to check multiplication problems and multiplication to check division
• Write and solve word problems using multiplication and division
• Find averages
• Determine if numbers are divisible by the numbers 2, 3, 4, 5, and 10
• Estimate products and quotients
• Select the appropriate operation for a given computation
• Find missing addends and factors in number sentences
• Solve problems with a mixture of operations

## GET YOUR NUMBERS STRAIGHT

Even Numbers — numbers that are divisible by 2
Odd Numbers — numbers that are not even
Prime Number — a number whose only factors are 1 and itself
Composite Numbers — all numbers that are not prime
Whole Number — a member of the set of numbers (0, 1, 2, 3, 4, 5 . . . )
Fractional Number — a number that can be named in the form a—b with a and b being any numbers, with the exception that b cannot be 0
Mixed Fractional Number — a number with a whole number and a fractional number
Decimal Number — a number written with a decimal point to express a fraction whose denominator is 10 or a multiple of 10
Mixed Decimal Number — a number with a whole number and a decimal number part
Integers — the set of natural numbers ( . . . –3, –2, –1, 0, 1, 2, 3 . . . )
Negative Integers — on a number line, all the numbers to the left of 0
Positive Integers — on a number line, all the numbers to the right of 0
Rational Numbers — numbers that can be written as a ratio a—b where both a and bare integers and b is not 0 (all integers and decimals that repeat or terminate)
Irrational Numbers — numbers that cannot be written as a quotient of two integers(decimals that neither repeat nor terminate)
Real Numbers — rational and irrational numbers together are the set of real numbers
Opposite Numbers — two numbers that are the same distance from 0 but are on opposite sides of 0 (3 is the opposite of –3)
Exponential Numbers — a number with an exponent (An exponent is a number written next to a base number to show how many times the base is to be used as a factor.)
Digit — one number in a numeral that holds a particular place
Significant Digits — all non-zero digits and zero when it has a non-zero digit to the left of it (The 0 in 4.03is significant. In 0.66, the 0 is not a significant digit.)

## Math Yellow Pages For Students And Teachers by INCENTIVE PUBLICATIONS IP890 Table of Contents

Skills That Make a Math Whiz (a checklist of math skills covering grades K–8) – 7
Whole Numbers & Counting – 7
Number Concepts & Relationships – 7
Addition & Subtraction – 8
Multiplication & Division – 8
Fractions – 9
Decimals – 9
Ratio, Proportion, & Percent – 10
Problem Solving – 10
Measurement – 11
Coordinate Graphing – 11
Statistics – 11
Geometry – 12
Probability – 12
Pre-Algebra – 13
Get Your Numbers Straight (definitions of various kinds of numbers) – 14
Important Properties (properties of numbers & operations) – 15
Mathematical Symbols (math symbols and meanings) – 16
Can You Speak Metric? (metric prefixes & meanings) – 16

All Kinds of Formulas (geometric formulas) – 17
Math Tools, Treasures, & Tidbits (things to collect for math activities) – 18
Special Math How-To’s (brief explanations of many math processes) – 19
A Handy Guide for Problem Solvers (18 different strategies for attacking & solving problems) – 26
Which Measure? (tables of English & metric measurements) – 29
Converting Measurements (tables of measurement conversions, English to metric & metric to English) – 31
Tricks for Mathematicians (fun tricks with numbers & operations) – 32
Computer Talk (terms to help you find your way around computers) – 35
Web Talk (terms to help you find your way around the Internet) – 37
Math Terms for Every Occasion (an exhaustive glossary of math terms used in grades K–8) – 39
Math Terms: Number Concepts & Relationships – 39
Math Terms: Operations & Computations – 43
Math Terms: Fractions & Decimals – 46
Math Terms: Geometry & Measurement – 48
Math Terms: Statistics, Graphing, & Probability – 58
Math Terms: Pre-Algebra – 60
Fast Facts (ready-to-copy matrices for learning math facts) – 62

### About Incentive Publications

An Educational Resources Pioneer Since 1968. Incentive Publications specializes in middle school educational resources and effective teaching strategies for grades K-12. The company offers more than 400 titles that are available through over 2000 retailers. IP publications are correlated to or written based on learning standards and testing benchmarks. Incentive Publications is a member of the National Middle School Association, the Association of Educational Publishers, and the National School Supply and Equipment Association.

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