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Pre-algebra without a curriculum


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If you were going to teach the concepts of pre-algebra without a curriculum...just through games and other hands-on things...what would you use?

 

Just to be clear, I would follow it with an actual pre-algebra curriculum. But I have a child that learns best (and really only) through hands-on, experiential methods. She also needs to learn things in math several times over before she really grasps it (she has numerous times repeated grades with different textbooks in order to give her enough exposure to concepts to finally understand them). I don't know of a pre-algebra curriculum that teaches through games and hands-on methods, so I thought if I covered the basic concepts that way while she finished Horizons 6 this fall, once she started pre-algebra it would have some experience and understanding to stick to in her brain.

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You can take a look at:

 

Hands on Equations (manipulative based intro to equations, order of operations, etc.)

The Dragonbox apps (absolutely amazing visual representations of solving equations)

Videos on Khan academy 

 

We are using a curriculum, but I am of course pulling out cuisinaire rods from time to time still- showing why a square is "square" and why a cube is "cubic", etc.  But their use is becoming more limited as things become more complex.  Check educationunboxed.com for some ideas on upper level math with manipulatives.

 

BUT... one of the things with upper level math is that you move from easily concrete examples to significantly more abstract concepts.  Good luck!  

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We are just... meandering our way through preA concepts using a variety of resources that I mostly let dd choose from - jousting armadillos, khan, a grade 7 Australian textbook, life of fred. I also want to go through the algebra lab book I have and possibly some keys to Algebra. Basically we will play through these and probably try aops preA next year (7th)

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Pre-algebra is generally just a solidification of math with a bit of algebra and solving equations. Other than the algebraic content - which all basically gets covered again in algebra, just much more quickly - the only thing I can think of that was really and truly new to my kids was square roots. All the other things - exponents, ratios, integers - those had been covered previously and pre-algebra just worked on solidifying that understanding.

 

So I guess what I'm saying is that I think you can possibly just use whatever you've already done and take it a little further and then add in something like Hands on Equations.

 

 

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There are tons of options for hands-on learning. We used algebra tiles and Algeblocks, cuisenaire rods (yes, even for pre-algebra -- educationunboxed.com has some appropriate videos), Mortensen math kits, dice games. Hands-on things from Teachers Pay Teachers. We made an interactive notebook, etc. 

 

 

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I don't use a program for pre-Algebra since I view it as just a solidifying of concepts before Algebra, so I tailor it to what the child needs more help on.

 

Oldest used (bits and pieces of each):

 

Ko's Journey (a computer game)

Perfectly Perilous Math

Math Doesn't Suck

Life of Fred 

DragonBox (app)

Some "board" games on fractions (we had one with pizzas and one with just tiles)

a scholastic books called Dazzling Math Line Designs 

Math Mammoth sections on decimals

 

Middle will use this coming year:

Hands on Equations

Patty Paper Geometry

Beast Academy 5C & 5D

Math Doesn't Suck

Perfectly Perilous Math

Some card games from an ebook I found on my computer from who-knows-when-and-where: Acing Math card games

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The Nasco math catalogue has a good selection of manipulatives and games that go past usual elementary stuff.

 

https://www.enasco.com/math/

 

The Cuisenaire rod videos in Education Unboxed have a number of excellent videos on more advanced topics, such as quadratics.

 

http://www.educationunboxed.com/

 

We like Penrose the math cat and other books from Theoni Pappas, but they do move from topic to topic, so not for everyone.

 

https://www.amazon.com/Theoni-Pappas/e/B001K7YRT2

 

And we totally love The Joy of x, by Steven Strogatz. Many chapters originally appeared in a NYTimes blog and may still be out there. The author makes complicated concepts clear. Inspirational, imo.

 

https://www.amazon.com/Joy-Guided-Tour-Math-Infinity/dp/0544105850/ref=sr_1_1?s=books&ie=UTF8&qid=1499178274&sr=1-1&keywords=Joy+of+x

 

ETA

Found a link to the Strogatz topics. Check out the post on rock groups as a way of making math concrete.

 

http://topics.nytimes.com/top/opinion/series/steven_strogatz_on_the_elements_of_math/index.html

 

OMG, did anyone mention Algebra Touch -- totally incredible app that teaches you haw to manipulate equations. This would be my number one choice. We like the mobile version best.

 

http://www.regularberry.com

 

Math Doodles is another imaginative app, not algebra particularly, but mathematical thinking. Author has other apps as well.

 

http://www.carstensstudios.com/mathdoodles/mathdoodles.htm

 

The book, Let's Play Math, by someone at WTM (I think?) has some wonderful ideas for books and games. Print and kindle available.

 

https://www.amazon.com/Lets-Play-Math-Families-Together/dp/1892083205/ref=sr_1_1?ie=UTF8&qid=1499180171&sr=8-1&keywords=let%27s+play+math

 

We also have some iPad coordinate graphing apps, very visual. I better stop posting now, duller tasks await. :-(

Edited by Alessandra
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Thank you all so much for your recommendations! These are exactly what I was looking for!

 

I know that pre-algebra is supposed to be a review of basic math, but the pre-algebra she will be using has quite a bit of new material in it, and some of the topics that aren't new just haven't stuck yet. Basically she knows numbers and the four operations, fractions/decimals and basic operations with each, finding factors/multiples of a number, and solving very simple equations. She is either very shaky on the rest, or just hasn't encountered it yet. I am treating the bulk of it as new material and teaching/reteaching it through games or hands-on activities as much as possible before she encounters in in her math program so she gets as much exposure to the concepts as possible.

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