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Pre-Algebra Games and Fun

Updated on March 17, 2015

Triangle Math

Triangle Math with Flat Floral Marbles
Triangle Math with Flat Floral Marbles | Source

Middleschool Math and Pre-Algebra

As a final step before Algebra, children are taught fractions, percents, decimals and ratios while perfecting their grasp of the four operations, addition, subtraction, multiplication and division. This mastery of the four operations is what makes the higher levels of math turn into fun puzzles and intriguing patterns of numbers that can explain the universe.

This article will give you an overview of math taught in K-8 as preparation for High School Algebra with an emphasis on games and activities that will help children in 4-8 grades solidify their understanding of pre-algebra concepts while playing fun and challenging games. Come roll the dice and shuffle the cards. It's time for pre-algebra fun...

Hands-on Pre-Algebra

Games Fighting Arguing Snap Cards Playing Magazine, UK, 1949
Games Fighting Arguing Snap Cards Playing Magazine, UK, 1949 | Source

Alternatives to Math Textbooks

Of course you could use textbooks. There are many out there and you will be assured of covering all of the subjects thoroughly. However, if you are brave and have confidence in yourself and you child, there are many more exciting ways to learn all the math skills to prepare for algebra lessons.

We homeschooled our oldest until she started 7th grade. When she entered public school for the first time she was beginning Algebra II. The following are materials that we used and found most helpful for learning pre-Algebra.

Number Sense - What do those number really mean?

Number Sense is understanding what numbers mean. From beginning levels where the number 5 represents five fingers to fractions where 1/4 means that there is one out of four and on to understanding that 2-5=3 does not make sense. This is the beginning of number sense. It is also understanding that 56 is a smaller amount than 65 and that 1/2 is the same as .5. All of these concepts are needed in order to begin to study algebra and there are games that you can play with your child to learn each one of these concepts.

Teaching Number Sense

Learning Number Sense
Learning Number Sense | Source

Play finger games with your child

Despite all that you have learned up until now, counting on fingers is a good thing.

  • Ask your child to hold up two fingers.
  • Now take away five of them.
  • It can't be done! It is time to go back and look at the problem again. Was the problem really 5-2 rather than 2-5?
  • That is a difficult concept for 6 and 7 year olds but with repetition they certainly get it by the time they are ready for algebra.

Most textbooks stop there but I have found that it makes more sense to continue on and explain negative numbers to your child.

  • Ask your child how many people will be eating at your table for the next meal. (Let's say 5)
  • Hand him or her items to be placed on the table.
  • 4 plates. You need 5. I gave you 4. How many more do you need? One!
  • You have negative one plates.
  • Hand your child 3 forks.
  • Once they have placed those three forks they can be taught the terms that they now have negative 2 forks or that 2 more forks are needed.

Your child is learning the terms that will prepare them to understand algebra.

We started playing finger games when the kids were young. Wherever we were we counted, added, multiplied and figured out problems. It was always fun and it wasn't long before the kids were making up their own problems.

Hi Ho a Cherry O

Counting Cherries
Counting Cherries | Source

Games that teach Number Sense - Number Sense builds skills needed for learning Algebra

Board games are great for teaching number sense. Counting backward and forward, moving spaces, skipping ten, going back two on the board helps children understand the relationship between numbers.

Snakes and Ladders, Rack-O, Go to the Head of the Class, Hi Ho a Cherry O and Monopoly are just a few of the games that teach children number sense while having lots of fun and family time.

A good sense of just what numbers mean is vital when beginning algebra.

Snakes and Ladders

Snakes and Ladders Game
Snakes and Ladders Game | Source

Mancala

At first it might seem that Mancala is just a simple counting game. Very young children can quickly begin to play successfully.

But as with many good games the more you play the more math is involved, the more patterns you notice and you start applying strategies to your game.

Usually we begin with three beans in each pod.

  • What happens when you begin in different places?
  • Does it matter who begins the game?
  • How does your strategy change when you start with 4, 5 or more beans in each pod?

Mancala can involve strategy and complex higher math, putting it on par with chess and similar strategy board games.

Playing Mancala

Mancala
Mancala | Source

Four Operations on the Hundreds Board

Learn the Four Operations with this variation on the Hundreds Board. Tom DeRosa from the I Want to Teach Forever Blog tells us that The Sequence Numbers Game allows students to practice addition and subtraction number facts in the context of an easy to learn game.

  • The game goes like this: each player/team has a handful of these number facts cards.
  • The game board, as you can see in the picture, has color-coded numbers that match the cards.
  • Each turn, you can put one of your chips on the answer to one of the cards in your hand.
  • The object is to get five chips in a row..

This game would be a wonderful addition to any classroom or homeschool family's game closet.

Does your child have Number Sense?

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Adding and Subtracting with Parcheese

Parcheesi Board
Parcheesi Board | Source

Board Games teach Arithmetic

One of our favorite board games is Parcheesi.

  • Roll the dice and count the dots (One to one correspondence)
  • Add the two numbers together (Addition)
  • Move your playing piece that number of spaces. (Counting)
  • Notice how many more spaces are needed to get around the board. (Subtraction)
  • You have to get the correct number to get into the home space. (Addition and Subtraction)

As the kids get more and more proficient with the board it is fun to look for more and more math.

  • How many spaces are there between circles?
  • How many spaces are there to get all around the board?
  • Each person needs to move all four of their pawns around the board. Multiply to see how many spaces to get all four around the board.
  • How many different geometric shapes can you find on the board?

Does your child know how to Add, Subtract, Multiply and Divide?

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Add, Subtract, Multiply and Divide - You must know the Four Operations before beginning Algebra!

Unless you can answer this question with yes, quickly and easily, your child should be playing more games.

Only with a quick, fluent sense of numbers and how to add, subtract, multiply and divide will your child be ready for learning algebra. But this is where the fun begins.

Learning the four operations is best learned through games.

Play games over and over. Play games often.

Learning to Multiply with Yahtzee

Yahtzee
Yahtzee | Source

Roll the Dice and Multiply

We always have a pair of dice on the dining room table. If we are in a hurry we might just each take a turn rolling the dice, multiplying the two and cheering the one with the highest number.

Sometimes we will add the two dice, subtract the higher from the lower number, or see if we can roll doubles.

When we have more time, we like to play Yahtzee. Yahtzee involves addition, subtraction and multiplication.

Once the kids were getting proficient we started playing 24 Game. We first learned the game as a board game but one day we decided to try playing it with just 4 dice. Of course, sometimes you can't get to 24 but that just makes the game more fun.

Game 24

24 Game
24 Game | Source

Add, Subtract, Multiply and Divide with the 24 Game

Use the four numbers around the card to add, subtract, multiply and divide to get to 24. The first one to get to 24 wins that card.

Playing this game is not only fun, but helps your children master the four operations of addition, subtraction, multiplication and division. It is a game that can be played by children and adults. You might be surprised at how much fun it is playing games like 24 and not even realize that you are preparing to learn Algebra.

Fraction Balance Scale

Practice adding and subtracting fractions in a fun, hands-on way that will help children truly understand what all those numbers actually mean.

What's My Rule?

What's My Rule? - Using Problem Soving Strategies (Grades 6-12)

If one number goes into the tiger's head and another number comes out, what did the tiger have to do to the first number to get the second number.

The problems in this book get progressively harder. I have never found a child that didn't enjoy the challenge of trying to figure out this tiger's mind.

The Game of Sprouts

Sprouts
Sprouts | Source

Algebra in the Concrete

Algebra in the Concrete
Algebra in the Concrete | Source

Algebra in the Concrete

Mary Laycock found a way to show algebra in a fun and exciting, hands-on way that excites kids to play with first year algebra. My 10 year old homeschooler loved using the Cuisenaire Rods to work out the problems while discovering the relationships between the different parts of equations. She quickly learned to make up her own problems. I wish I knew of a good sequel.

This book was enacted by a group of upper elementary school children as they built the sequences, algebraic expressions, rectangular arrays, and equations of elementary algebra.

Pictures of their work are included so you and your students can see how many different types of manipulatives can be used in constructing some of the fundamental concepts of algebra. Added activities include factoring trinomials to solving quadratics.

The Mathematics of the Spirograph - Symmetry

Spirograph Drawing
Spirograph Drawing | Source

Hexagram to square hinged dissection - Mathematics of Puzzles

Hexagram to square hinged dissection
Hexagram to square hinged dissection | Source

Geometric Puzzles

  • To make the above puzzle, just tape together the green triangles from your set of Pattern Blocks.
  • Can you construct other puzzles?
  • Can you make other transformations?
  • Can you understand mathematically why these puzzles work?

Books of Puzzles - Puzzles use Pre-Algebra and Algebra skills without kids knowing it.

Cross Sums were one of my first forays into using puzzle books to teach pre-algebra. You don't realize how much practice you are getting in the four operations until suddenly realize that the puzzles are getting easier and easier.

What's My Rule? gently leads students from pre-algebra into the logical formulas of algebra. This book is so much fun it's too bad there aren't more volumes.

Sing the Quadratic Equation Song

Sing along and learn the Quadratic Equation in preparation for learning algebra. You will be surprised how much this will help you. I love the way that the formula is sung over and over. The tune is catchy and sticks in your head.

Coffee Table Quality Rush Hour

Learning Strategy and Logical Reasoning

ThinkFun Rush Hour is one of our favorite strategy and logic games. The object of the game is to get the red car out of traffic gridlock.

The game comes with a bunch of little cars and trucks that are placed, puzzle-fashion at an intersection. Your job is to get the red car out.

Sounds simple enough doesn't it?

Start with card one and you think, "This is a breeze!" but the cards get progressively harder.

Children and adults love playing this game. They won't even know they are learning math.

Donald Duck in Mathemagic Land - Introduce Children to Exciting concepts in Mathematics

This is a video that can be watched and enjoyed by children from pre-school through high school ages. Each age will gain more understanding of mathematical concepts in a fun and entertaining way. Visual images of mathematical concepts will help when preparing children for algebra.

Donald Duck in Mathmagicland

Mathmagicland

Donald Duck is surprised to discover how fascinating math can be. He discovers how wonderful, fun and exciting math can be.

  • He goes to Ancient Greece to learn about Pythagoras.
  • He learns how fractions relate to music.
  • He learns the relationship between pentagrams, the golden ratio, and how it can be found in nature.

My children loved watching this video over and over again. Each time we watch it we discover more avenues to understanding math.

Board Games

Roman Board Games can help pre-algebra students work on strategies that develop an understanding of mathematical concepts. The more times you play the game the more patterns and strategies you see. Play with another person and suddenly you start to see new ways to play.

How do you teach your children Pre-Algebra?

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    • jimmielanley profile image

      Jimmie Lanley 8 years ago from Memphis, TN, USA

      My daughter will be in 5th grade this fall, so this is helpful!

    • profile image

      anonymous 8 years ago

      Thanks Evelyn for visiting my lens and lens rolling it. I am honoured.

      Cheers!

      Ialmost forgot - a 5* for this lens. For all the information in here.

    • JoyfulPamela2 profile image

      JoyfulPamela2 7 years ago from Pennsylvania, USA

      Again, great hands-on ideas ~ I love it 5*!

      Pamela

    • TrishH LM profile image

      TrishH LM 7 years ago

      This is a great lens. My son is starting to learn some of this and school now and it is a great help for him.

      Thanks. going to check out some of your other lenses now.

      Trish

    • RhondaAlbom profile image

      Rhonda Albom 7 years ago from New Zealand

      Fantastic! Perfect for our upcoming term. I have made this Link of the month for Jan 2010 on Math Resources for homeschoolers and it is Blessed by this Squidoo Angel.

    • evelynsaenz1 profile image
      Author

      Evelyn Saenz 7 years ago from Royalton

      @RhondaAlbom: Thank you so much SquidAngel, for featuring this lens. ,

    • profile image

      julieannbrady 7 years ago

      Ah, this sounds so "sexy" my dear ... "Plotting in all Four Quadrants ... Plotting Coordinates on a Cartesian Plane." Don't you think?

    • evelynsaenz1 profile image
      Author

      Evelyn Saenz 7 years ago from Royalton

      @julieannbrady: You certainly put an exciting twist on the subject! I wonder what you are plotting?

    • Ecolicious LM profile image

      Penny Pincher G 6 years ago

      great lens. wish someone had played math games with me when i needed help. when it's time for my daughter to learn pre-algebra games will be on my list for ways to help. thanks

    • VSP profile image

      VSP 6 years ago

      I loved spirograph as a child. I'd probably like it today too. Am posting this on my fb Homeschool Preschool Through High School page.

    • profile image

      SofiaMann 6 years ago

      You do the math so much fun. Congratulations.

    • JanieceTobey profile image

      JanieceTobey 6 years ago

      I love your lens on pre-algebra games and activities!!! Can I bless it about twenty times?! Thanks so much for creating this page of fun ways to do math!

    • akumar46 lm profile image

      akumar46 lm 6 years ago

      Great algebra lessons for kids.Thanks for such useful lens.

    • akumar46 lm profile image

      akumar46 lm 6 years ago

      Great method of teaching Pre-Algebra to children.Nice lens.

    • AngelDey profile image

      AngelDey 6 years ago

      This is wonderful. Thank you.

    • tandemonimom lm profile image

      tandemonimom lm 6 years ago

      FABULOUS page, Evelyn! I think the only game I could possibly add to this list would be Muggins. I'll be coming back here to remember the ones I don't have yet!

    • Rankography profile image

      Rankography 5 years ago

      if you have not checked out KhanAcademy yet you should. It is the coolest most revolutionary site I have seen in education and 100% free.

    • EMangl profile image

      EMangl 5 years ago

      by making games for her, i think i showed you :-)

    • KandH profile image

      KandH 5 years ago

      Love this lens: maths and puzzles - these are a two of my favorite things!!

    • OrganicMom247 profile image

      OrganicMom247 5 years ago

      Learning is easier when you do it though games or songs.

    • profile image

      DMVAgent 4 years ago

      Got new info! Thanks for lens, you made a great job. Learning can be done in any way, in easy way. :)

    • profile image

      anonymous 4 years ago

      Wouldn't 6 also be a triangular number?

    • evelynsaenz1 profile image
      Author

      Evelyn Saenz 4 years ago from Royalton

      @anonymous: Yes! You are right. 6 is indeed a triangular number.

    • profile image

      kuldeeppal 4 years ago

      Your lens looks really great it for my friends.

    • Bill Armstrong profile image

      Bill Armstrong 4 years ago from Valencia, California

      No kids but love your games ;)

    • profile image

      LearnKidstoRead 3 years ago

      Even saying the word 'Algebra' grosses me out! Great lens thanks for the info. Will try these games out with my son who is struggling with math. Sue

    • profile image

      cleansweeping 3 years ago

      Nice lens! Very complete!

    • profile image

      mathkplus 3 years ago

      I think the answer is two parts: (1) the learning material must be easy and fun to read, and (2) the student must have a means of dynamic practice of the material to complete the learning process.

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