8th Grade Mathematics Skills Number & Operations | Algebra | Geometry | Measurement | Data Analysis | Review Help Page last edited 2/27/2009
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(addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)
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Comparing Integers - Comparing integers with absolute values - instruction and review, practice, and a quiz &
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.
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 approximate locations of rational numbers on a number line. 8.1.4 N
Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!"
Line Jumper - [this link opens on a new page] Click on the number line at the correct answer.
Number
Line Bounce - Instructions on how to play are included at the top
of the window.
Divide fractions - using circles, will show visually 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
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!
Percent Game - [this link opens on a new page] Funbrain site
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. - instruction and review, practice, and a quiz &
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 &
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
Calculate rates involving cost per unit to determine the best buy. 8.1.9 R
American Grocery Shoppers - Consider the problem of determining a "better buy" when you are shopping for canned tomatoes. (an interesting perspective on unit cost)
What's for Lunch? Pizza Cost Comparison - Visit the Internet Pizza Server and compare costs for different combinations of toppings and pizza sizes. You will also have the opportunity to create and "order" a pizza of your choice.
Use exponential, scientific, and
calculator notation to represent large numbers in real-world situations.
8.1.10 N
Exponential Expressions - find the exponential expression that is equivalent to the number given
Exponent Practice - 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.
Exponents - Unit 3 from Ms. Glosser's Math Goodies
Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer".
Simplifying
- Expressions that have had their like terms combined. Match each expression
on the left with an expression on the right. Type the letter of the
correct expression in the box.
Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
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.
Mystery Operations - In this activity the computer makes up a mystery operation, and you have to figure out what the operation is. You give the computer two numbers to calculate, and it tells you the answer.
Number Cracker - [this link opens on a new page] guess what number comes next in the pattern
Power Lines - (math reasoning) Place numbers in the circles so all lines add to the same target number. You must get all correct to get the password to go on to the next level. level 2 | level 3
Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
Ms. Lindquist: The Tutor - A free, web-delivered, intelligent tutoring system for tutoring students in writing expressions for algebra word problems. This site is sponsored by NSF.
Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource.
Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills.
Connect symbolic expressions and graphs of lines. 8.2.4 GR
Egg-Bungee Lesson Plan - a lesson designed to have students acquire and apply knowledge of estimation using projection graphs, includes procedure for data collection
Generate equivalent forms for simple algebraic expressions. 8.2.5 AT
Everything Balances Out in the End - [lesson plan from Illuminations] Students use the Balance Pans - Expressions Tool to explore algebraic expressions. They determine if algebraic expressions are equal. They balance pans to solve a system of equations and use graphing to find the solutions to a system of equations.
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
Solve one- and two-step linear equations involving integers. 8.2.6 AT
Linear
Equation Solver - You type in the equation. The equation solver
will solve it for you with an explanation of how the problem was done.
Linear
Equation Solver - a pop-up window allows users to specify the number
of equations
Rags to Riches Game
- [this link opens on a new page] a fun practice for 1-step, 2-step and multi-step equations. The game
is similar in nature to "Who Wants to Be a Millionaire"
Solving
addition and subtraction equations - 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.
Interpret graphs which represent rates of change. 8.2.8 GR
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.
Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs.
Connect the appropriate graph to a linear equation. 8.2.11 GR
Algebra vs the Cockroaches - determine the slope of the line that
cockroaches are crawling along to destroy them
Equation
of a Line: Slope-Intercept Form - An interactive applet that will
help you visualize how changing the values for the slope, m, and the
y-intercept, b, will affect the graph of the equation y = mx + b.
Creating Polygons - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
Identify Polygons - names of polygons by number of sides and angles - instruction and review, practice, and a quiz &
Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
Name that Polygon - identify name of given polygon components - instruction and review, practice, and a quiz &
Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want
Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz &
Identify relationships among the angles (i.e., complementary, supplementary, interior, exterior, vertical, and corresponding). 8.3.3 G
Complementary Angles - [this link opens on a new page] Match the angles that are complementary. (a Quia game available in Matching, Flashcards, and Concentration format)
Geometric Terms - [this link opens on a new page] this Quia quiz contains four activities - matching, flash cards, concentration, and a word search puzzle - which reinforce students vocabulary concerning angles.
Introduction to Angles - [this link opens on a new page] Basic terms related to the classification of angles (a Quia game available in Matching, Flashcards, Word Search, and Concentration format)
Apply spatial reasoning and visualization to solve real-world problems. 8.3.7 R
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.
Quick Images - In the following Interactive Activity, you'll stretch both your visualization and drawing muscles. (click on Show Shape to begin the activity)
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.
Apply geometric ideas and relationships in areas outside the mathematics classroom (i.e., art, science, and everyday life). 8.3.8 R
Pythagorean
Explorer - Students find the length of a side of a right triangle
by using the Pythagorean Theorem, and then check their answers.
Squaring
the Triangle - Students learn about how the Pythagorean Theorem
works, through investigating the standard geometric proof. Parameters:
Sizes of the legs of the triangle.
Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
Select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume. 8.4.1 ME
A Dictionary of Units - This provides a summary of most of the units of measurement to be found in use around the world today (and a few of historical interest), together with the appropriate conversion factors needed to change them into a 'standard' unit of the SI.
Interactive Units Converter - [this link opens on a new page] Here you will find interactive calculators for many measurement systems both commonly used like metric and U.S. Avoirdupois and quite exotic like Ancient Greek and Roman.
Measure converter - Full Conversion Table (sorted by Measure Unit Name)
Measure4measure - a collection of interactive sites on the web that estimate, calculate, evaluate, translate etc. In other words, they do the work for you.
Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995.
Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle.
Using the Pythagorean Theorem Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page.
Box Plot - [interactive] Use this tool to summarize data using a box plot graph
Box Plot - [interactive] This activity from Shodor allows the user to view box plots for either built-in or user-specified data, and experiment with outliers
Box Plot 2 - [interactive] This activity from Shodor allows the user to view box plots for either built-in or user-specified data, and experiment with outliers
Box Plot - an interactive online illustration of creating a box plot, includes an interactive illustration
Box Plot - [interactive] Students can create box plots which use the median in calculating the interquartile ranges for either built in or user-specified data as well as experiment with outliers
Box Plotter - [interactive] This activity allows the user to explore maximum, minimum, median, upper quartile, lower quartile and outliers while learning how to draw box plots.
Box-and-Whisker Plot - A box-and-whisker plot can be useful for handling many data values
Sample Scatterplots and Data - posted by the Quantitative Environmental Learning Project (QELP) - Types of scatterplots found here -
Linear, Exponential, Logistic, Power Rule, Periodic, and Other Bivariate - data included
Scatterplots - explanation and several good examples from Canada's National Statistical Agency
Scatterplots - a lesson plan from North Canton City Schools
Graphs and charts - four different graphs and charts for you to consider
The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
Interactive Graphs - large number of interactive graphs related to social studies topics
Interpreting Line Graphs - [this link opens on a new page] explore line graphs. (Author - Michael Naylor)
Leap Frog - [this link opens on a new page] design an experiment to answer a question, collect information, and interpret the results using charts. (Author - Michaél Dunnivant)
Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs.
Determine the mean or median of a given set of real-world data. 8.5.3 - mean DP
Basketball Debate - [this link opens on a new page] explore the meaning of average (or mean) and relate these concepts to real world experiences. (Author - Michael Naylor)
Exploring Histograms - The interactive data analysis tool in this investigation allows students to create their own sets of data and examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data.
Medians - [this link opens on a new page] understand and apply the concepts of median and mean. (Author - Michael Naylor)
Connect data sets and their graphical representations (i.e., histograms, stem-and-leaf plots, box plots, and scatter plots). 8.5.4 DP
Box Plot - explanation from the Engineering Statistics Handbook
Box Plot - comparing the average height of singers
Make conjectures and predictions based on data. 8.5.5 GR
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.
Adjustable Spinner - Change the number of sectors and increase or decrease their size to create any type of spinner. Then, conduct a probability experiment by spinning the spinner many times. How does the experimental probability compare with the theoretical probability
Basic 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.
Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
Graphing Skills - [this link opens on a new page] What's the point? Find the point on the grid
Marbles - Students 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.
Practice with Data - answer questions pertaining to collecting and organizing data
Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials.
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.
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)
Connect the symbolic representation of a probability to an experiment. 8.5.6 DP
Coin Flipping page - flip up to 100 coins and see the total number of heads and tails. Excellent for teaching about probability.
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.
Probability Theory: The Layman's Guide to Probability - An in-depth but easily readable guide on probability theory, covering various aspects of the theory with a bias to gambling games and strategies. Includes working examples in an excel spreadsheet.
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.
Determine the mean or median of a given set of real-world data. 8.5.7 - median DP
Bicycles Ala Mode - [this link opens on a new page] understand and apply the concepts of mean, median and mode. (Author - Michael Naylor)
Exploring Histograms - The interactive data analysis tool in this investigation allows students to create their own sets of data and examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data.
Recognize misleading presentations of data. 8.5.8 DP
Class Interval - how to make the same data appear to support two different positions
CNN posted misleading graph - poll results on Schiavo case - graph as presented and how it should have been shown
Histograms and Bar Graphs - lesson plan on how data can be graphically represented (and mis-represented)
Junk Charts - several examples of using graphs to mislead
Goosed Up Graphics - making things appear to be `better' than they are by fiddling with the scales
Have Something to Say - "Knowin' all the words in the dictionary ain't goonna help if you got nuttin' to say" - a quote from Blind Lemon Jefferson, the great blues musician
The Lie Factor - the ratio of the size of an effect shown in the graphic is not proportional to the size of the
effect in the data
Missed Opportunities - some important information was there, but the graph maker missed it
Eighth 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)
Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
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.
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Taming Word Problems
