Basic Training
Reviewing the Basic Facts + – × ÷

Basic Training: Reviewing the Basic Facts + – × ÷

Overview

If you would like to brush up on the basic facts of addition, subtraction, multiplication, or division, in the privacy of your own home, dorm room, or net book, you've come to the right place. I will provide you with some online games, videos, and resources to quickly learn and practice the basic facts.

This web site is designed for people who may have been taught the basic facts at some point, but have gotten rusty.

What's on this Site?

Introductory video:

The next five pages* of this web site are:

Page 2 - Pre-Assessment - Use this page to find out which of the facts you need to work on.

Page 3 - Meanings of the Operations - Helps you understand what the operations actually mean.

Page 4 - Strategies - Strategies are ways to memorize the facts.

Page 5 - Practice - Practice with online games and/or online worksheets.

Page 6 - Post-Assessment - Give yourself a Post-test to see how you did.

*Skip around - Use this pages in any order you wish.

Page 7 - About - Information about the author and an optional next step.

© By Jim Olsen, Western Illinois University

 

Pre-Assessment

Use this page to find out which of the facts you need to work on.

Here is a video on the online pre-tests (and post-tests) that are available at multiplication.com. and how to print out a multiplication table from www.mathsisfun.com.

 

 

Take the online pre-tests. Make a list of the facts that give you difficulty. You will need to learn a strategy for memorizing these facts.

For the online pre-test. You can press Refresh and take it again.

Print out the multiplication table or use the table from multiplicaton.com. (Here is one up to 15x15.)

Meanings of the Operations

This page helps you understand what the operations actually mean.

Did you know that subtraction is not always "take-away"? It can be comparison, completion, or missing addend. Click here for a chart showing the meanings of addition (3), subtraction (4), multiplication (4), and division (2).

More information on multiplication can be found at All About Multiplication.

More information on addition can be found at Do It with Dominoes.

More information on subtraction can be found at Comparing Connecting Cubes.

Strategies

Strategies are ways to make it easier to memorize the facts (instead of just rote memorization).

Two web sites that are useful for learning strategies are:

  1. Mental Math Strategies - covers strategies for addition and multiplication.
  2. Teach the Times Tables - is a series of 14 lessons from multiplicaton.com*. They have some nice charts, as shown in the video below.

*Here is a video on how to use the lessons from multiplicaton.com.

More details: Here are some online books by Celia Baron from Google books.

  1. Thinking Strategies - Addition by Celia Baron from Google books.
  2. Thinking Strategies - Subtraction by Celia Baron from Google books.
  3. Thinking Strategies - Multiplication by Celia Baron from Google books.
  4. Thinking Strategies - Division by Celia Baron from Google books.

Practice

Just like any skill, you need to practice to be good at it.

It is important to not try to master all the facts at the same time. Master a few facts at a time and then do a mixed practice at the end.

Then after you think you've mastered all the facts for an operation, then do a mixed practice game.

Here are three good sites for practicing the basic facts.

  1. Multiplication.com - Use Interactive Games or "Self Correcting Quizzes" (online worksheets). These can be found at www.multiplication.com/resources.htm.
  2. Math Trainer from mathsisfun.com - Select the operation and numbers you want to work on. Click GO and then type the answers. www.mathsisfun.com/numbers/math-trainer-multiply.html
  3. www.aaastudy.com/add.htm , www.aaastudy.com/sub.htm , www.aaastudy.com/mul.htm , www.aaastudy.com/div.htm

Here is a video on

Links to Online Worksheets and Fill in the Blank

Links to Games at Multiplication.com

Disco Dino

DiscoDino.GIF

Car Wash

CarWash.GIF

More Games at multiplication.com

Multiple games available

 

Links to Online Games

>>> Level 1 ~ Level 2 ~ Level 3 <<<

Level 1

Name & Screen Shot Operations Comments/Notes
Math Popper Math Popper Game Addition Has a timer.
SpaceyMath Practice add, subtract, multiply, or divide. Type answer and hit enter.

Addition,
Subtraction,
Multiplication, & Division

Starts very easy. Gets a little tougher.
Addition AttackAddition Attack Addition  
Addition Surprise Addition practice Addition Connects to the addition table.
Addition Facts to 20
Addition practice.
Addition  
Adding Three Numbers
Addition practice.
Addition  
Sums StackerSum Stacker Addition  
Number Jump Fly SmasherFun Game Addition You get to smash bugs!
Counting OnCounting On Addition  
Connect SumsConnect Sums Addition  
Kite Flying Fact Families Multiplication, & Division Fact Families with Multiplication, & Division
Lemonade LarryFind the total cost of the order Multiplication  
Multiplication Hidden PictureHidden Picture Game Multiplication  
Targeting Multiplication
Targeting Multiplication
Multiplication You can turn off the sound.
Island Chase Subtraction1 to 4 players Subtraction 1 to 4 players

>>> Level 1 ~ Level 2 ~ Level 3 <<<

Level 2

Name & Screen Shot Operations Comments/Notes
Meteor MultiplicationMultiplication Practice Multiplication  
Quick Math Click the operation. Addition,
Subtraction,
Multiplication, & Division
You select the operation.
Multiflyer Multiplication Practice Multiplication  
Space Race 1 to 4 players race Multiplication 1 to 4 players
Space Racer X Space Racer X Multiplication  
     
Arithmetic FourArithmetic Four Addition,
Subtraction,
Multiplication, & Division

2 person game - Connect 4 Game

Has 3 levels of difficulty.

Farm Game Farm game Addition and Multiplication You and to multiply and add.
Mission MagnetitePercents and Decimals

Fractions,
Decimals,
& Percents

 
Product Game
Strategy Game
Multiplication 2 person strategy game
Death to Decimals Death to Decimals Decimals  
Fraction Pairs Game
Fraction Pairs Game
Fractions,
Decimals,
& Percents
 
Match Fraction-Decimal-PercentFractions, Decimals, and Percents Fractions,
Decimals,
& Percents
 
Late Delivery
Evaluate the expression on the door by plugging in the value for the variable. Three levels of play.
Addition,
Subtraction,
Multiplication, & Division
 
Orbit Integers Add Integers
Addition
of Integers

1 to 4 players

Private games can be customized

Integer Warp Multiply Integers
Multiplication
of Integers

1 to 4 players

Private games can be customized

Mystery Picture Fractions

Mystery Picture Fractions

(Fractions)
Multiplication
& Division

Click the problem (on the right) and then the (blue) answer.

>>> Level 1 ~ Level 2 ~ Level 3 <<<

Level 3

Name & Screen Shot Operations Comments/Notes
Balloon Invaders Percent
Arcade syle game on finding percent of a number mentally. You need a strategy so you can do it in your head. Use arrow keys and space bar to shoot.
Multiplication Percent of a number
Scientific NotationThere are two modes. Try them both! Multiplication Putting numbers into scientific notation and multiplication.

Part-Part-Whole

Has 5 Levels - Fractions & Decimals

Addition/
Subtraction

Has 5 levels.

  • Part-part-whole on 100.
  • Part-part-whole on 100...a little harder.
  • Part-part-whole on 1 with fractions.
  • Part-part-whole on 1 with decimals.
  • Part-part-whole on 1 with decimals & fractions.

 

Post-Assessment

Give yourself a Post-test to see how you did.

See the video on page 2 to find out how to access the pre- and post-test. 

About

This web site was created by Jim Olsen. Most of the applets, worksheets, and games he did not create. Most of the videos he did create.

The purpose of the site is to help people brush up on the basic facts of addition, subtraction, multiplication, or division, in a quick, easy, private, and self-paced manner.

This site provides with suggestions, online games, videos, and resources to quickly learn and practice the basic arithmetic facts.

This web site was completed 9/27/2010.

Author

Jim Olsen has been teaching at Western Illinois University, where he is a professor in the Mathematics Department, since 1994. After graduation from Doane College (1979) he taught high school mathematics for ten years in Nebraska. His PhD (Educational Mathematics) is from the University of Northern Colorado. At W.I.U. he teaches mathematics courses and teaching methods courses for prospective and practicing teachers. More information on Dr. O can be found here.

More Resources

Once you have mastered the basic facts, you might be interested in:

Math teachers may in interested in:

© Jim Olsen

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