## 6th Grade Number & Operations Skills

Prior Standards Implementation

## The standards listed below have been replaced by a newer set of standards.

## Please go to Current 6th Grade Math Standards for current resources.

## Number and Operations

Identify the place value of a given digit.

6.1.1

N

- Identifying Place Values - identify the place value of the digits &

- Finding Place Values - find the place value of a particular numeral within a number &
- Expanded Form of Numbers - write the numeral the expanded form represents &
- Place Value in Words and Numbers - type the correct numeral to represent the words &
- Specific Place - find the numeral in a specific place value &
- There Must Be Thousands - read, write and identify numerals to the hundred thousands
- What's Your Name? - know the value of numbers when written in standard form or expanded notation
Solve one-step real-world problems involving whole numbers and decimals.

6.1.2

R

- Arrange a Party - use problem solving steps to find and use the range of a set of data to plan a party
- Disaster Math - Six sets of math quizzes; Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
- Let's Do Lunch - use a menu to order lunches that meet various criteria
- Making Change at the Math Playground - calculate change back on a purchase then click and drag the change to the counter using the smallest number of bills or coins
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Shopping at Troy's Toys - percent shopping
- Show Me The Money - add using columns
- Spy Guys Interactive - Decimals - Lesson 1
- Spy Guys Interactive - Solving Problems with Decimals - Lesson 5
- Spy Guys Interactive - Problem Solving Bank - Lesson 20 . (fifteen problems to solve, with suggested strategies given)
- Word Problem Practice - problems in addition, subtraction and more
Represent numbers using a variety of models and equivalent forms (i.e., whole numbers, mixed numbers, fractions, decimals, and percents).

6.1.3

N

- Algebra Puzzle - Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column. That makes the puzzle easier to solve. Other times, you will have to look for relationships among the objects.
- Calculate percent - Discover relationships between fractions, percents, and decimals
- Equivalent Fractions and Decimals - decide which answer will balance the scale
- Finding a percent of a quantity - online quiz
- Fractions, Decimals or Percent - two are given, you supply the third
- Percents and Wholes - online quiz
- Percent Game - FunBrain site [ these are difficul t]
- Practice Solving Percent Problems - more percent practice
- Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math)
- Percent Problems - [ Caution: if the answer is a percent, the percent sign must be typed or the answer will be considered wrong. ] a one-player, or two-player Jeopardy-type game from Quia
- Shopping at Troy's Toys - percent shopping
- Solving Percent Problems Using a Pyramid Grid - an interactive lesson
- Spy Guys Interactive - Solving Problems with Decimals - Lesson 5
- Spy Guys Interactive - Improper Fractions & Mixed Numbers - Lesson 2
- Spy Guys Interactive - Percent - Lesson 4
- Using percents - online quiz
- Using the Proportion Method to Solve Percent Problems - practice problems at the end
- What's Your Name? - know the value of numbers when written in standard form or expanded notation
Connect whole numbers, mixed numbers, fractions, and decimals to locations on the number line.

6.1.4

N

- Adding Fractions - with the same denominator &
- Adding Fractions - mixed denominators
- Adding Fractions - using circle graphs - Mixed numbers
- Multiply fractions - with circles,mixed number times a whole number
- Multiplying Rational Fractions - online quiz - (answers provided)
- Multiplying Fractions - Soccer Shootout - [ Caution: the answer must be reduced to be graded as correct. For example; 2/3 not 4/6 .] (FunBrain activity)
- Subtracting Fractions - with same denominator &
Compare and order whole numbers, fractions, decimals, and percents using the appropriate symbol (<, >, and =).

6.1.5

N

- Comparing Exponential Expressions - select, <, >, or =
- Comparing Fractions Factsheets - seven factsheets are available
- Comparing Fractions Game - three levels are available
- Comparing Fractions Games - two games; Dolphin Racing, and Ordering Game
- Comparing Fractions Quiz - three levels are available
- Comparing Fractions Worksheets - four worksheets available
- Comparing Integers - Comparing integers with absolute values
- Comparing Numbers Factsheets - five sheets to print
- Comparing Numbers Quiz - three levels available
- Comparing Numbers Worksheet - three sheets to print
- Comparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two-digit decimal values.
- Evaluating Expressions - a four step lesson
- Evaluating Expressions - Get out your pencils and calculators and give these a try!
- Fraction Sorter - interactive site posted by Shodor
- Greater, Less Than, or the Same - Compare these decimals
- Ordering Decimal Numbers - click and drag the numbers to put them in order from least to greatest
- Ordering Decimal Numbers II - click and drag the numbers to put them in order from least to greatest
- Percent with a Calculator - after the lesson there are problems to work
- Put Numbers in Order Game - three levels are available sort 4, 6 or 8 numbers
- Put Whole Numbers in Order - Three or more numbers can be placed in order. A number may come before the other numbers or it may come between them or after them
- Spy Guys Interactive - Understanding Integers - Lesson 6
- Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
Identify prime and composite numbers up to 50.

6.1.6

N

- Composite and Prime numbers
- Number Cop - select Primes , click on Start then use the left and right arrows to move the police car to intercept only prime numbers
- Prime Numbers - Prime Number Sieve: "Remove all proper multiples of the next remaining number." Start with the number 2.When all proper multiples of all numbers in the first row are deleted, the table will contain only primes.
Apply order of operations when computing with whole numbers.

6.1.7

N

- Algebra: Order of Operations - a quiz from Quia
- Calculations Using Order of Operations - AAA Math lesson and practice problems &
- Division and Order of Operations - matching game
- Evaluating Algebraic Expressions - from Regents Prep
- Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S.
- Exploring Order of Operations - [ game ] click on the operations in correct order
- Flintstone Example - four characters try to solve a problem, four more examples at the bottom of the page.
- Learning Activity: Order of Operations - interactive lesson
- Math Quiz Game: Jeopardy style - Jeopardy style PowerPoint review game
- Order of Operations - Math Goodies from Ms. Glosser
- Order of Operations - a matching grid pattern game
- Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
- Order of Operations - a 16 slide PowerPoint show with practice problems
- Order of Operations: What to Do First - a 25 slide PowerPoint show
- Order of Operations Game - Drag the numbers and the operation signs on the wood board to complete the equality
- Order of Operations Game - from MathFrog
- Order of Operations Pretest - ten multiple choice questions
- Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems
- Order of Operations Tutorial - work through several examples
- Order of Operations with Exponents - Math Goodies from Ms. Glosser
- Order of operations game from Funbrain.com ( easier levels are available)
- Order of Operations Online Worksheet - ten problems, answers available
- Practice with Order of Operations - ten practice problems [ answers available ]
- Practice with Order of Operations - Get out your pencils and calculators and give these a try!
Use estimation to select a reasonable answer to a computation involving whole numbers, fractions, and/or decimals.

6.1.8

N

- Comparison Estimator - Similar to Estimator but compares two sets of objects.
- Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
- Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz &
- Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz &
- Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz &
- Estimation Strategies - several strategies are discussed
- Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)
- Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
- How Big are Things - a printable cube to be used in making size estimations [several versions]
- How to Simplify a Number - part of being approximate is simplifying numbers
- Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
- More or Less Estimator - Similar to Estimator activity but states a quantity and asks the user to estimate whether the set of objects is more or less than the number given.
- Pinocchio estimation game - suggested game for developing the skill of estimation
- Round About - estimate by rounding.
- Rounding Off - Three levels are available in this game from BBC Education
- Scaling the Universe to Your Desktop - estimating size
- Spy Guys Interactive - Rounding Numbers - Lesson 9
- Weigh the Wangdoodles - Your job is to find the weight of each Wangdoodle using the information provided by the scales. To be successful, you will have to make sure that the weight you assign to each Wangdoodle works on each scale. This activity is a fun but challenging introduction to multiple algebraic equations.
- Word problems - online quiz adding and subtracting fractions
- Your Body as a Ruler - a user's manual
Compute efficiently and accurately with whole numbers, fractions, and decimals.

6.1.9

N

- Count the Goodies - This multiplication activity from Harcourt School's Mighty Math Calculating Crew asks you to multiply using regrouping. Three problems at a time are presented.
- Decifractator - convert fractions to decimal equivalents
- EZ Fractions - Add, Subtract, Multiply and Divide fractions - Help tools are on the site to give students every tool necessary for performing operations with fractions as easy as it has ever been!
- Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
- Making Change at the Math Playground - calculate change back on a purchase then click and drag the change to the counter using the smallest number of bills or coins
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Math Baseball - Complete the Number Sentence - (Fun Brain) [ these links open in new window s] - All Operations - Numbers less than 100 | All Operations - Numbers less than 1000 | Division - Numbers less than 100 | Division - Numbers less than 1000 | Division - Numbers less than 10,000 | Multiplication - Numbers less than 1000 | Multiplication - Numbers less than 10,000
- Math Facts -Timed math facts, or select practice mode without the timer
- Math Mayhem - A fast paced program where student can select addition problems. (most are two digit problems) - warning: turn sound to mute; this activity gets very loud!
- Mental Math - Select an operation to practice your skills
- Mixed Review - Addition and subtraction of three numbers - find answer to reveal mystery picture ( warning: very difficult, will need pencil and paper)
- Space Racer (Asteroids) - to aovid asteroids you must solve multiplication problems; move left by solving the left-side problem or move righrt by solving the right-side problem
- Timed Facts - at end of 60 seconds shows the score and answers to problems
- Decimals

- Adding with decimals - Addition of numbers with three decimal digits
- Complete the number sentence - all operations with decimals
- Decimal addition - Push the green blocks into the holes to make the target number.
- Dividing Decimals - Complete the number sentence
- Division of Decimals - Divide with 2 decimals
- Division of Decimals - Divide with 3 decimals
- Multiplying and Dividing with Decimals - online quiz
- Multiplying with decimals - Multiplying numbers with two decimals
- Rounding off - Round numbers to significant decimal places - (interactive game)
- Subtracting with decimals - Subtraction with three decimal digits
- Fractions

- Divide fractions - (using circles) this will show graphically how the divisor will fit into the dividend a whole number of times
- Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations.
- Equivalent Fractions - find the fraction that is equivalent to the fraction given
- Fractional Distances - find Grampy by entering a fractional distance - (includes mixed numbers and various fractions)
- Fraction Practice - All operations, mixed practice - (explanations given for wrong answers)
- Multiplying and Dividing Fractions - online quiz
- Unstated Information in Fraction Problems - use the information provided to find the unstated information
- Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions
Connect ratios to a variety of models, real-world situations, and symbolic representations.

6.1.10

N

- All About Ratios - a Quiz
- All About Ratios - links to several lessons
- All About Ratios : (Problem Solving) - A famous Texas chef has a secret recipe for her chili. When people ask her for it, she hands them a card with the complete recipe except for 1 detail. For the missing detail, she gives them a clue. Use ratios to discover the missing ingredient.
- Comparing Ratios and Rates - online quiz
- Determine the number based on the ratio - instruction and review, practice, and a quiz &
- Determining the Ratio - instruction and review, practice, and a quiz &
- Figure This: Math Challenge for Families - proportional reasoning
- Interpreting and Applying Proportions - online quiz
- Learning ratios and proportions through scale drawings - a text only lesson plan
- Math for Morons Like Us - a ThinkQuest entry on ratio
- Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems

- You Tube video of the same lesson - Instructor: Ms. Jenkins
- Percentages and Proportions - online quiz
- Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math) - instruction and review, practice, and a quiz &
- Percent with a Calculator - after the lesson there are problems to work
- Practice with Ratios - online quiz
- Proportion Practice Test - thirteen multiple choice questions
- Proportions and Ratios - good explanation of means and extremes from Free Math
- Rags to Riches: Ratio and Proportion Quiz - quiz at Quia
- Rates, Ratios, and Proportions - a two person quiz from Quia
- Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
- Ratio & Proportion - math review practice exercises
- Ratio & Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.)
- Ratio and Proportion - explanation and examples
- Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems
- Ratio and Proportion Quiz - play this game to practice writing ratios
- Ratio Exercises: Dolls : Camera] | Same ratio -- Fish : Atom | Different ratio -- Spider : Lizard | Different ratio -- Dots : Stars | 2 Dolls for every 1 Camera | 3 Atoms for every 2 Fish | [How Many Spiders do You Have? | Which Way Gives More Pizza?
- Ratio Proportion Calculator - Enter the known and unknown values from your proportion problem. In classic algebraic format, place an x in the box where the value is unknown. Then select Calculate and click on it.
- Ratios - a six page module from Purple Math
- Ratios and Proportions - explanation with four sample problems
- Ratios and Proportions - an interactive lesson in a slide show format
- Ratios and Proportions - an 18 slide PowerPoint show
- Ratios and Proportion Review - a 12 slide PowerPoint show
- Review of Proportion - examples and practice problems
- Review of Ratios - examples and practice problems
- Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
- Spy Guys Interactive - Ratio - Lesson 3
- Teaching Ratios and Proportions - suggestion for teachers and parents
- Using Proportions - online quiz
Select a reasonable solution to a real-world division problem in which the remainder must be considered.

6.1.11

N

- Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
National Library of Virtual Manipulatives

Number & Operations (Grades 6-8)

## Review Help

Practice Tests!

- Chapter Tests - Glencoe Math
- Houghton Mifflin Mathematics Test Prep Practice
- Self Check Quizzes - Glencoe Math
Released Tests & others

- FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips
- FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips
- Sixth Grade Math - Read each question and choose the best answer. Then mark the circle next to the letter for the answer you have chosen. ( from Texas )
- Texas end-of-year Math test 2003
- Texas end-of-year Math test 2004
Various Review Aids

- Geometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
- Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
- Math Olympics - Answer 20 multiple choice questions correctly to win the Math Olympics. Topics range from basic computation and general math knowledge to word problems with percentages, ratios, and fractions.
- Math TV: Video Word Problems - [ Grades 5+ ] Math TV is a project whose goal is to help middle school students learn how to solve challenging word problems. Each of the nineteen math problems comes with step by step video solution, follow up problems, an online calculator, and sketch pad.
- Solve It! - Math Videos provide problem solving practice for students in grades 3 to 6. Each of the thirteen sets contain five multistep word problems with step by step video solutions. Concepts include basic operations, algebraic reasoning, money, fractions, percent, perimeter, area, proportional reasoning, and measurement.

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