6th Grade Mathematics Skills Number & Operations | Algebra | Geometry | Measurement | Data Analysis | Review Help Page last edited 2/27/2009
Return to Grade Level Skills Worksheet Generator - This web site will allow you to create printable math worksheets from your browser.
(addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)
a site for teachers | a PowerPoint show | Adobe Acrobat document | a Word document sound | video format | interactive lesson | a quiz | lesson plan | to print
Specific Place - find the numeral in a specific place value &
There Must Be Thousands - [this link opens in a new window] read, write and identify numerals to the hundred thousands (Author - Sandi King)
What's Your Name? - [this link opens in a new window] know the value of numbers when written in standard form or expanded notation (Author - Sandi King)
Solve one-step real-world problems involving whole numbers and decimals. 6.1.2
R
Arrange a Party - [this link opens in a new window] use problem solving steps to find and use the range of a set of data to plan a party (Author - Kristy Rousseau)
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 - [this link opens in a new window] use a menu to order lunches that meet various criteria (Author - Sandi King)
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
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
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 [this link opens in a new window]
What's Your Name? - [this link opens in a new window] know the value of numbers when written in standard form or expanded notation (Author - Sandi King)
Connect whole numbers, mixed numbers, fractions, and decimals to locations on the number line. 6.1.4
N
Multiplying Fractions - [this link opens in a new window] Soccer Shootout - [Caution: the answer must be reduced to be graded as correct. For example; 2/3 not 4/6.] (FunBrain activity)
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.
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
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
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.
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 &
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.
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
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 windows] - 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
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: (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.
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 &
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.
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.
Linear Function Machine - investigate linear functions by trying to guess the slope and intercept from inputs and outputs.
Positive Linear Function Machine - investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs.
Find missing addends or factors represented as variables in simple equations. 6.2.4
AT
Using Number Patterns, Fractions, and Ratios - [this link opens on a new page] use a Quia quiz to practice greatest common factor, simplify fractions, least common multiple, and divisibility rules [Who Wants to be a Millionaire format]
Extend rate charts to solve real-world word problems. 6.2.5 R
Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David.
Select an equation that represents a given mathematical relationship. 6.2.6
AT
Is That A Fact? - [this link opens in a new window] select the appropriate operation for solving a problem (Author - Randy Russell)
Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
Evaluate algebraic expressions for a given value of the variable. 6.2.7
AT
Algebraic Reasoning Using Weighing Scales - Learn how to think algebraically with these clever weighing scales. Levels 1 and 2 contain two scales. Level 3 is more difficult and has three scales. Your goal is to determine the weight of one or more of the objects.
Graphing Skills - [this link opens in a new window] What's the point? find the point on the grid (choose Easy for Quadrant 1 problems)
Grid Graph - [this link opens in a new window] identify and plot points on a grid (Author - Paulette Boggs)
Reading a Grid - Find Hurkle behind the grid. Type ordered pairs to find him
Simple Coordinates Game - Students investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.
Simple Maze Game - Students investigate the first Quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane.
What's the Point? - [this link opens on a new page] Find the x-y point on a grid
Worksheet Generator - Print your own blank coordinate plane worksheets, you determine the number of grids on a sheet and whether the grids are numbered or not.
Advanced (all 4 Quadrants used)
Catch the Fly - [all 4 quadrants are used] Use the keyboard to enter the x and y values of an ordered pair to help the fly catch a bug. No score is kept, each question is essentially a one question game.
Coordinate Plane Practice - [all four quadrants are displayed on each slide] students type ordered pairs in the blocks on this interactive PowerPoint show
General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. (all 4 quadrants utilized)
Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines. (all 4 quadrants utilized)
Stock the Shelves - [this link opens on a new page] You are the clerk. Stock the shelves using a special coordinate plane.
Classify two-dimensional geometric figures using properties. 6.3.3
G
Transformations - a Flash movie which demonstrates flips, slides, and turns
Transformations - [designed for 7th grade] a 21 slide PowerPoint show produced by Holt, Rinehart and Winston
Translations - a seven stage lesson on flips, slides and turns
Wrapping Paper Patterns - [this link opens in a new window] decide which figures would result from a flip, a slide, or a turn (Author - Paulette Boggs)
Use spatial reasoning to identify the three-dimensional figure created from a two-dimensional representation of that figure (i.e., cube, rectangular prism, pyramid, cone, or cylinder). 6.3.5
G
3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views.
Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures)
Coloring 3-D sides - [UK spelling on this site] Find the red sides shown in a series of 2-D drawings and click on the right face of the 3-D model to color it red. 20 questions
Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing.
Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
Guess the View - Students are given a 3-D view of an object, and then given a 2-D view of the object. Students must choose which of 6 views is being displayed from a list.
Plot Plans and Silhouettes - from Shape and Space in Geometry - the student task is to come up with plot plans that could match the given silhouettes. Background information is available at another page.
Rotating Houses - Students are presented with a 3-D figure created with blocks that can be rotated and flipped using a mouse. The figure must be rotated until it matches a 2-D representation of one of the views.
Classify angles as acute, obtuse, right, and straight. 6.3.6
G
Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
Triangles Side-By-Side - [this link opens in a new window] use geometric vocabulary to describe properties of triangles (Author - Carolyn Garner)
Solve real-world problems involving elapsed time. 6.4.2
R
Bedtime Bandits - (students try to stay up as late as possible by blasting killer clocks that drop from the ceiling) After each stage, identifying the correct clock gets harder and harder. Eventually, students have to blast the clock that is “4 hours and 15 minutes past 2:30 ”, for example.
Clockworks - Try to set the time on the clock. (select the challenge level)
Elapsed Time - free worksheets from Math Slice, time intervals from 1 hour to one minute
Convert from one unit to another within the same system (metric and customary). 6.4.3
ME
Measure it - [this link opens in a new window] practice using a ruler [inches and centimeters]
Measurement Equivalents - Match game with standard equivalent measurements, such as pounds, ounces, pints, cups, etc.
Teaching Measures - Choose from three modules; length, mass, and capacity. Each category offers several activities for your large screen display as well as supporting worksheets.
Select units of appropriate size and type to measure angles, perimeter, area, capacity, volume, and weight. 6.4.4
ME
Alien Angles - estimate angles, without a protractor, ranging from 1-180 by dragging a movable line
Banana Hunt - This game helps students practice the degrees of an angle
Measuring Angles - Investigating angles and the use of a protractor
Weight and Capacity - this video lesson explains weight and capacity and the units to measure each, and then gives your students the chance to show understanding on several quizzes. (somewhat elementary)
Apply formulas to determine the area of rectangles and triangles. 6.4.5
ME
Area Explorer - Students are shown shapes on a grid after setting the perimeter and asked to calculate areas of the shapes.
Pythagorean Explorer - find the length of a side of a right triangle by using the Pythagorean Theorem, and then check answers
Shape Explorer - calculate areas and perimeters of the shapes
Squaring the Triangle - learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
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.
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.
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 &
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.
Determine the mean of a data set.
&
Determine the mode of a data set. 6.5.1 DP
All That Data - [this link opens in a new window] use range, mean, median, and mode (Author - Kristy Rousseau)
All That Data Two - [this link opens in a new window] describe graphs in terms of range, measures of central tendency, and distribution (Author - Kristy Rousseau)
Basketball Debate - [this link opens in a new window] explore the meaning of average (or mean) and relate these concepts to real world experiences (Author - Michael Naylor)
Bicycles Ala Mode - [this link opens in a new window] understand and apply the concepts of mean, median and mode (Author - Michael Naylor)
Jupiter Is Average - [this link opens in a new window] Using data from our solar system, students explore median, mode, mean, and range. Students learn to use an on-line calculator to determine the mean and range. (Author - Sandi King)
Mean Green Machine - [this link opens in a new window] use a calculator to find and use the average, or mean, of a set of data (Author - Kristy Rousseau) (designed for 5th grade)
Mode, Mean, Median - calculate mode, median and mode of a set of buildings, then repeat the activity with a different set - (metric measurements)
Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate Medians - [this link opens in a new window] understand and apply the concepts of median and mean (Author - Michael Naylor)
Party Comedian - [this link opens in a new window] find and use the median of a set of data (Author - Kristy Rousseau)
Party Mode - [this link opens in a new window] find and use the mode of a set of data (Author - Kristy Rousseau)
Interpret bar and line graphs to answer questions and solve real-world problems. 6.5.2
R
Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
Heads I Win - [this link opens in a new window] predict the likelihood of tossing heads or tails and graphs the results of coin tosses (Author - Michaél Dunnivant)
The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
Interpreting Data - survey a small group by clicking on each of the children, turn the tally marks into two types of graphs and then go back and take a different survey
Biased Sample - also known as: Biased Statistics, Loaded Sample, Prejudiced Statistics, Prejudiced Sample, Loaded Statistics, Biased Induction, Biased Generalization (3 good examples at the bottom of the page)
Lions and Tigers - [this link opens in a new window] predict the likelihood of a simple event (rolling a die) as a fraction (Author - Michaél Dunnivant)
The Random Ball-Picking Machine - experiment with a random generator at a BBC site to collect data to make decisions about probability.
After you finish working through the ball-picking activity, take a ten-question quiz
Understanding Experimental Probability - Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes.
Connect data sets and their graphical representations (i.e., bar graphs, circle graphs, and stem-and-leaf-plots). 6.5.7
DP
Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values
Circle Graph - Enter data categories and the value of each category to create a circle graph (similar to "Pie Chart" but the user can define the data set)
Make conjectures and predictions based on data (e.g., in a chart, table, or graph). 6.5.8
AT
Adjustable Spinner - Students can create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
Bean Pi - To involve students in a small group exploration of the concept of area for circles, and to involve students in data collection.
Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David.
Hand Squeeze - (a data collection and analysis class experiment) - Pass a "hand squeeze" around a circle and measure the amount of time that it takes for the hand squeeze to complete the circle.
Interpreting a Data Chart - students practice by answering questions about what can be found in a grid chart
Marbles - learn about sampling with and without replacement by modeling drawing marbles from a bag - [Parameters: Number and color of marbles in the bag, replacement rule]
Pin The Tail - [this link opens in a new window] use probability to predict and conduct experiments to test predictions. (Author - Michaél Dunnivant)
Spinner - Students can create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials.
The Winning Edge: Probability in Basketball - Time has run out in the big basketball game, and the score is tied. However, Up-State College has the ball with time out. You're the coach. Which players should you put into the game to give you the best chance of winning? (students collect data and make prediction based on the data)
Use a tree diagram or organized list to determine all possible outcomes of a simple compound event. 6.5.9
DP
Leap Frog - [this link opens in a new window] design an experiment to answer a question, collect information, and interpret the results using charts (Author - Michaél Dunnivant)
Me Too Probability - [this link opens in a new window] use a tree diagram to display possible outcomes of who will come to the party (Author - Michaél Dunnivant)
On Stage Probability - [this link opens in a new window] use tree diagrams to display the possible outcomes of casting a play (Author - Michaél Dunnivant)
What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
Who Will Probably? - [this link opens in a new window] use problem-solving steps and a tree diagram to display possible outcomes and make predictions (Author - Michaél Dunnivant)
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.