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Number Sense & Operations - Grade 6

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Quia - Naming Numbers Try to name the numbers that are written by choosing the correct written numbers that pop up.

math.com Properties of integers We use certain properties of integers to solve math problems: Commutative property of addition, Commutative property of multiplication, Associative property of addition, Associative property of multiplication, and the Distributive property.

Whole Numbers and Their Basic Properties The whole numbers are the counting numbers and 0. The whole numbers are 0, 1, 2, 3, 4, 5, ...

Positive and negative numbers Visit this site to learn all about positive and negative numbers, including the number line, absolute value and more.

Integers Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, . We do not consider zero to be a positive or negative number.

Comparing Number Values This game uses comparison operators such as "greater than", "less than", and "equal to" (>, <, =) to compare values.

Choose the Proper Sign Choose the proper sign (<, >, =) to make the number sentence true.

All About Comparing Numbers These pages teach number comparison skills. Each page has an explanation, interactive practice and challenge games about comparing numbers.

One False Move FunBrain.com - One False Move You are given a table of numbers. Click on the numbers in order from lowest to highest (or highest to lowest).

math.com Distance, Rate and Time - First Glance A rate is a ratio that compares two different kinds of numbers, such as miles per hour or dollars per pound.

Rate A rate is a ratio that expresses how long it takes to do something, such as traveling a certain distance. To walk 3 kilometers in one hour is to walk at the rate of 3 km/h.

Converting Rates We compare rates just as we compare ratios, by cross multiplying. When comparing rates, always check to see which units of measurement are being used.

Average Rate of Speed The average rate of speed for a trip is the total distance traveled divided by the total time of the trip.

Math Ratio and Proportion A ratio is a comparison of two numbers. We generally separate the two numbers in the ratio with a colon (:). Suppose we want to write the ratio of 8 and 12. We can write this as 8:12 or as a fraction 8/12, and we say the ratio is eight to twelve.

Algebra.help -- Basics of the Proportion A proportion is a special form of an algebra equation. It is used to compare two ratios or make equivalent fractions. A ratio is a comparison between two values. . .

6 3 = 6/3 Ratios and Proportions A ratio is a comparison of two similar quantities obtained by dividing one quantity by the other. A proportion is a statement of the equality of two ratios.

math.com Proportions A proportion is a name we give to a statement that two ratios are equal.

math.com Ratios and Proportions - Distance, Rate and Time A rate is a ratio that compares two different kinds of numbers, such as miles per hour or dollars per pound. A unit rate compares a quantity to its unit of measure. A unit price is a rate comparing the price of an item to its unit of measure.

math.com Ratios and Proportions - Similar figures Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

Ratios Ratios tell how one number is related to another number. A ratio may be written as A:B or A/B or by the phrase "A to B". You can learn, practice, play and explore ratios at this interactive site.

Ratios On this page, we hope to clear up problems that you might have with fractions and their uses in Algebra.  Ratios are continually being utilized in math and make many things much easier to do.  Scroll down or use the links below to start understanding ratios better!

math.com Ratios We use ratios to make comparisons between two things. When we express ratios in words, we use the word "to" -- we say "the ratio of something to something else".

Determining Ratios A ratio of 1:5 says that the second number is five times as large as the first. The following steps will allow a ratio to be determined if two numbers are known.

Ask Dr. Math-Ratio and Proportion Questions and answers all about ratios and proportion.

math.com Percent Percent means "out of 100." We can use the percent symbol (%) as a handy way to write a fraction with a common denominator of 100.

All About Percents and Ratios These pages teach percent and ratio skills. Each page has an explanation, interactive practice and challenge games about percents and ratios.

Regents Math A: Percent Learn all about percent along with interactive practice activities.

[IMAGE] Lessons on Understanding Percent Percent concepts are covered carefully and thoroughly in this volume of lessons. The relationships between ratios, fractions, decimals and percent are explained. Students should go through these lessons in order since each lesson builds upon the previous one.

Percent and Probability Learn everything from a basic definition of percent to converting percents to fractions and decimals.

Absolute Value The absolute value of a number can be considered as the distance between 0 and that number on the real number line.

Absolute Value Absolute Value Lesson Absolute value has many uses, but you probably won't see anything interesting for a few more classes yet.  For now, you can view absolute value as the distance from zero.

|-1234| = 1234 Absolute Value of an Integer The number of units a number is from zero on the number line. The absolute value of a number is always a positive number (or zero). We specify the absolute value of a number n by writing n in between two vertical bars: |n|.

Quia - Integers, Absolute Value & Operations with Integers This activity includes finding absolute value of integers, comparing integers, and addition, subtraction, multiplication and division of integers.

Rational and Irrational Numbers Rational numbers are the numbers that can be represented as the quotient of two integers. Conversely, irrational numbers are the numbers that cannot be represented as the quotient of two integers, i.e., irrational numbers cannot be rational numbers and vice-versa.

Rational Numbers A rational number is a number that can be expressed as a fraction or ratio (rational).  The numerator and the denominator of the fraction are both integers.

Quia - Rational Number Practice Express all answers as improper fractions. Review the entire quiz before you start to ensure that all the questions loaded.

Quia - Rational Number Jeopardy Play against a partner! Show your fraction superiority!

Fractions Get a definition of a fractions, along with comparing, adding, subtracting and multiplying fractions. This site also includes information on prime numbers, greatest common factor and least common factor.

math.com Adding and Subtracting Fractions Like fractions are fractions with the same denominator. You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator.

How to Add and Subtract Fractions Learn how to add and subtract fractions with the same denominator and different denominators.

math.com Multiplying Fractions To multiply fractions: simplify the fractions if not in lowest terms, multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.

Multiplying Simple Fractions To multiply two simple fractions, complete the following steps: 1. Multiply the numerators. 2. Multiply the denominators. 3. Reduce the results.

math.com Dividing Fractions To divide any number by a fraction: multiply the number by the reciprocal of the fraction, simplify the resulting fraction if possible, check your answer: Multiply the result you got by the divisor and be sure it equals the original dividend.

S.O.S. Math-Dividing Simple Fractions Learn the basics of dividing simple fractions in easy to understand language.

math.com Adding and Subtracting Mixed Numbers The steps are the same whether you're adding or subtracting mixed numbers: find the Least Common Denominator (LCD), find the equivalent fractions, add or subtract the fractions and add or subtract the whole numbers, and write your answer in lowest terms.

math.com Multiplying Mixed Numbers Here are the steps for multiplying mixed numbers: change each number to an improper fraction, simplify if possible, multiply the numerators and then the denominators, put answer in lowest terms, and check to be sure the answer makes sense.

math.com Dividing Mixed Numbers Here are the steps for dividing mixed numbers: change each mixed number to an improper fraction, multiply by the reciprocal of the divisor, simplifying if possible, put answer in lowest terms, and check to be sure the answer makes sense.

Compound Fractions A compound fraction is sometimes called a mixed number. To manipulate compound fractions, just convert them to simple fractions and follow rules 1 through 23 for simple fractions.

math.com Reducing Fractions We reduce a fraction to lowest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.

Decimals Whole Numbers and Exponents Get a basic definition of decimal numbers, along with adding, subtracting, comparing and rounding decimals, and much more!

Go to our home page Decimals Learn about decimals using this program. It shows you how to count decimals using graphic shapes. Just count the shaded squares and select the right answer. Give it a whirl!

Decimals These pages teach operations on decimals covered in math courses. Each page has an explanation, interactive practice and challenge games about decimals.

Decimals: Fast Facts Check out this page of fast facts about decimals, including adding, subtracting, multiplying and dividing decimals.

Decimals on a Number Line To represent a decimal on a number line, divide each segment of the number line into ten equal parts.

Quia - Rounding Decimals-Whole Numbers Round the decimal to the nearest whole number.

Equivalent Decimals Match the equivalent decimals with this interactive game.

Fraction to Decimal Conversion From Dave's Math Tables, use this chart to find the decimal equivalent for fractions up to and including 31/32.

Fractions Decimals and Percents Learn all about converting numbers between fractions, decimals and percent.

Order of Operations How do you calculate 2 + 3 x 7? Is the answer 35 or is the answer 23? To know the correct answer, one must know the correct order of operations with respect to addition, subtraction, multiplication, division, etc.

Amby's ResourcesAmby's Math Resources: Order of Operations These materials are designed to help you practice solving problems using the correct order of operations. After solving each problem in this tutorial, you will click on your answer and go to another page where you will be told if your answer was correct. If you made an error, you will be given specific information, perhaps with examples, to help you improve your skills.

Funbrain.com's Operation Order Algebra Game Help Tortisaurus finish building his stone pyramid. You will be shown 3 numbers and an equation. Type in the correct number in the correct place to complete the equation.

math.com Exponents Exponents are a shorthand way to show how many times a number, called the base, is multiplied times itself. A number with an exponent is said to be "raised to the power" of that exponent.

Exponents This site will help you learn the basic properties of exponents, along with how to multiply, divide, and estimate with exponents.  There are also sections on logarithms.  Each topic includes exercise problems.

How to Manipulate Basic Exponents Just as (7)(6) is an easier way to describe 6+6+6+6+6+6+6, so to is 35 another way of saying (3)(3)(3)(3)(3).

Glowla's Estimation Contraption Glowla has created this weird machine just for you to play with! Here's the deal: The machine will show you a bunch of numbers. You need to type in an estimate of what those numbers would add up to. Sure, if you had all the time in the world, you could add the numbers together, but that's the hitch-- you only have 60 seconds to give your estimate! The secret to solving this puzzle is to round the numbers before adding them together.

Jellybean Jostle Print out and play this fun estimation game with a friend!

All About Estimation and Rounding These pages teach estimation and rounding skills. Each page has an explanation, interactive practice and challenge games about estimation.

Round Off Whole Numbers Sometimes it is easier to use rounded off numbers. For example, it is easier to say about 100 than 98.9.

Rounding Flashcards Test your knowledge of rounding with these interactive flashcards.

 

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Lesson Plans/Classroom Activities

 

License Plate Mathematics

Greatest Common Factor Review

Architecture

Lawn Mowing

Math Curse Project

Math in My Future Job

Mean and More

Milk versus Formula

Payday Game Board Project

Planning a Trip to Disneyland

Running the Iditarod

Senior Class Trip

Shoe Sale

Show Me the Money!

You Are a Millionaire!

How to Determine Whether a Number is Prime or Composite

Estimation-Pumpkin Activities

Ratio of Males to Females, by Age Group, 1950-2025

The Golden Ratio

Proportion and Me

The Mystery Ratio Worksheet

Alphabits

How Many Noses are in Your Arm?

Vegetation Data

Titanic and Beyond

Aquarium Blueprint

Math Worksheets - Order of Operations

 

 

L to L: Additional Lesson Plans/Classroom Activities

 

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