The post The Life of Fibonacci | Math Stories & Activities For Kids appeared first on DoodleMom's Homeschooling Life.

]]>This week I wanted to feature a wonderful picture book about the life of Fibonacci, the mathematician.

Fibonacci lived in the 1100’s in medieval Italy and learned about math on his travels on behalf of his father’s business to far away places like northern Africa, Turkey, Syria, Greece, and Sicily. Fibonacci will even take you into the court of Frederick II, of the Holy Roman Empire. It is a wonderful way to tie the development of mathematics with other history your child is learning!

This book takes your child on a rollicking adventure through Fibonacci’s life and travels. You can use this to reinforce geography lessons as well as teach your child a bit of math history.

Fibonacci will walk you through his most famous thought experiment with rabbits that led to the famous Fibonacci series that describes… do you know this one? Well it is the math of spirals!

And where do you find these spirals in nature? Well, for that you have to read the book!

There is even a ‘Can You Find’ activity at the back of the book that allows your child to use the math and ideas he has learned and hunt through the pictures for more clues.

You could even expand on the story to add some art activities, as this homeschooling family did.

Most of all, your child will have fun – and isn’t that what learning is all about?

**Title**: Blockhead: The Life of Fibonacci

**Author**: Joseph D’Agnese

**Length**: 40 pages

**Year written**: 2010

**Lexile: **570L

**Target Age**: Children ages 6 and up and their mothers and fathers.

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]]>The post Teach Your Child to Reduce Radicals & Create The Perfect Square appeared first on DoodleMom's Homeschooling Life.

]]>How do you teach your child to reduce radicals?

No, this is not advanced nuclear chemistry or using a shrink ray on protesters in the streets.

It really is math, well, part of algebra for our purposes.

The new idea your child in this lesson focuses on the concept of a monomial that is a perfect square. Now my test subjects (son and daughter) were divided on the issue of whether the explanation on the worksheet was sufficient today, so I am adding a more visual explanation of a monomial that is a perfect square here for you to do with your child as an optional activity if you think it is necessary.

Get some paper and cut it into different sized squares. For that matter, you could use any item you have around the house. You just need at least three different items and they need to be square.

After you have your three squares together, take some tape, or something else that is sticky and that you can write on and put a piece on each side of each of the squares (actually you only need it on adjoining sides, but it may be easier for your child this way).

Sit down with your child.

Grab the smallest square object and explain that this is a perfect square – each side is the same length. You could call it 2 inches by 2 inches (or roughly whatever size the object is that you have in your hand) OR you could call it ‘x’ inches by ‘x’ inches or ‘half an apple’ by ‘half an apple’ or ’6 marbles’ by ’6 marbles’. It really doesn’t matter what you call it, the important thing is that each side is the same.

Pretend it is 4 marbles by 4 marbles. The area of that square would then be 4 marbles times 4 marbles, or 16 marbles. 16 is called a perfect square because 4 times 4, or 4 squared, is 16. (* your should see her eyes light up with recognition right about now*).

Go back to that same square. Explain that if instead of 4 marbles on a side, you had no idea how long it was so you called it “x” marbles by “x” marbles (unknown number of marbles on a side) then the area of the square would be x times x, or x squared marbles. And that, too is a perfect square, just like 16.

Now armed with the idea of a perfect square in terms of numbers (like 2*2=4, 3*3=9, and 4*4=16), and in terms of letters or unknowns (like x*x=x squared), you can reach for the other two sized squares you have gathered.

On the smallest, write 2 on each side, on the largest write “3” on each side and on the middle sized square write “2 times square root of 2” on each side.

Now explain that the area of the small square is 2 times 2 or 4, the area of the largest square is 3 times 3 or 9, and that the area of the middle square is 2 root 2 times 2 root 2, or 2 times 2, times root 2 times root 2 which equals 4 times 2, or 8.

Make sure she understands this last bit (you might write it out in the center of the middle square or on a separate piece of paper).

Now go back to the littlest square and show her that is a perfect square because each side is an integer (2), and then show her that the largest square is also a perfect square because each side is also an integer (3). Now pick up the middle square again and show her that this middle square is not a perfect square because each side is not an integer. 8 is not a perfect square but 8 contains a perfect square times another number. Show her that 8=4*2 and that 4 is a perfect square (you just need to grab that smallest square with the area of 4 and 2 on a side to show her now). So the square root of 8 is the square root of 4 times the square root of 2, or 2 times the square root of 2.

Finally explain to your child that you can extend that idea beyond numbers to x’s and a’s and other letters.

Then you can walk her through the example on the downloaded worksheet.

This was a long explanation, but if you have a child who is spatially-focused (especially those kids who are dyslexic) this might be a very good way to explain the topic.

Then check out my math site at www.teachmebetter.org and look for Lesson 137: Reducing Radicals & Perfect Monomials.

If You Want To Start At The Beginning Of These Algebra lessons for the creative child, then check out “DoodlesDoAlgebra” a series of math books in ebook and paperback that helps you teach your child Algebra with common sense, kindness, creativity, and a bit of fun.

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]]>The post The Ocean & Deep Dark Holes | A Quick Science Unit Study appeared first on DoodleMom's Homeschooling Life.

]]>Let’s start the week off with a bit of mystery and fun.

Take a look at how deep and dark the hole that is our water-filled ocean goes…

You could use this as a fun aside, or the start of a unit study on oceans or marine life, or simply a “Hey, Kids! Come over here and look at this utterly cool thing!”

This is great for any age kid, and homeschooling moms too!

And art always goes better with music to go with it. You could put the music on and get some markers and pencils and paint out and let your kids draw and paint the deep dark ocean and all the creatures they imagine could be there.

Investigate Whale Songs

Here is a link to whale song recordings at the Ocean Mammal Institute:

http://oceanmammalinst.com/songs.html

When I was a teenager, I spent a summer at Friday Harbor in the Pacific Northwest, learning how marine biologists were studying the Killer Whale groups. It was probably the most fantastic thing that happened to me during high school.

The Center for Whale Research website has lots of information if your kids are interested in orca…

https://www.whaleresearch.com/

My kids loved doing these when they were younger…

This link has an ocean theme mural that is free to print.

http://www.shirleys-preschool-activities.com/ocean-theme-mural.html

There is something amazing about the fishes in the Red Sea: They are the same as fishes in surrounding bodies of water but their colors are all wrong. Why? No one knows. For me it was always an extra reminder of how special that area of the world is historically.

Here is information about the geography surrounding the Red Sea and links to information about the life living in it

http://www.bbc.co.uk/oceans/locations/redsea/rare_fish.shtml

And here is a wonderful directory of the fishes in the red sea, with lots and lots of pictures… (this fish directory is searchable to find fish all around the world as well)

https://seafishes.wordpress.com/?s=red+sea

Surfing the Mavericks off the California coast

And a wonderful documentary about a stupendous surfer and his story that reaches far beyond surfing and delves into character development.

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]]>The post See The Start of Spring With A Virtual Field Trip appeared first on DoodleMom's Homeschooling Life.

]]>If you are like me, you are thinking I am one day early. But actually not. In our new century, spring begins on March 20th, not the 21st. This interesting fact is explained quite neatly on the Old Farmer’s Almanac.

But the really exciting part is that they are hosting a special Spring Vernal Equinox Telescope viewing at 4:30 EST online. Spring starts at the same moment, no matter where you live on the world and if you want to see spring start, check out this live telescope viewing!

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]]>The post Learn Math From A Homeschooler appeared first on DoodleMom's Homeschooling Life.

]]>Erik Demaine stood out from the rest of the origamists featured in the documentary. He is a fun-loving, ferociously smart adult who was homeschooled by his father, entered college very early and is now teaching at MIT and studying the applications of origami folding to protein structure. The way he explains truly complex topics is simple and straightforward so that anyone can understand.

Recently I discovered that he posted a number of his lectures online complete with video of his talks, lecture notes, slides, and problem sets. If you have an advanced middle or high schooler at home who loves math and/or origami and is inspired by other homeschoolers’ successes, then working through a course like “Geometric Folding Algorithms: Linkages, Origami, Polyhedra” might be a wonderful experience! Even if your child does not understand the bulk of the lectures, he could at least watch the introductory lecture and start to understand the topics, and enjoy watching Erik explain.

*This post contains affiliate links – using the affiliate links on this and other pages on my blog helps me keep my site going and our homeschool running happily – We Thank You!*

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]]>The post Geometry with Euclid – Axioms appeared first on DoodleMom's Homeschooling Life.

]]>Today’s lesson teaches your child about Axioms in Geometry.

If your child has any trouble doing today’s lesson, please let me know in the comments below and I will try to help you.

Download Geometry with Euclid Lesson 2 HEREThe post Geometry with Euclid – Axioms appeared first on DoodleMom's Homeschooling Life.

]]>The post Geometry with Euclid – a new math series from DoodleMom appeared first on DoodleMom's Homeschooling Life.

]]>The first lesson in Geometry with Euclid is a reading exercise to understand the vocabulary of Geometry. These lessons are written for kids that are slightly older (8th grade and up) so there are not as many fun cartoons in this series, but Euclid the chicken comes along for the ride to offer helpful hints and chicken-wit.

I hope you enjoy these lessons as I post them. I am aiming to release one each week on average.

Download and enjoy!

Download Lesson 1 of Geometry with Euclid HEREThe post Geometry with Euclid – a new math series from DoodleMom appeared first on DoodleMom's Homeschooling Life.

]]>The post Saxon Math Homeschool Helps appeared first on DoodleMom's Homeschooling Life.

]]>Please use these pages for personal use only.

Download My Saxon Math Homeschool Helps Worksheets HERE (PDF format)

Enjoy, and I hope they help to make Saxon math a fun experience for your children!

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]]>The post Dividing Radicals – An Algebra Lesson appeared first on DoodleMom's Homeschooling Life.

]]>The big issue to look out for when your child does this lesson is that she remembers that dividing one square root by another is the same as dividing the two numbers and then taking the square root of the result.

Download Lesson 142 of Doodles Do Algebra HERE and learn to Divide Radicals

Answers:

- 3 (because 81 divided by 9 is 9, and then the square root of 9 is 3.)
- d (because d-cubed divided by d is d-squared, and the square root of d-squared is d)
- square root of x (here she also need to remember how to convert x into a square root. x is the same as the square root of x-squared so x divided by the square root of x is the same as the square root of x-squared divided by the square root of x which is the same as the square root of the quantity x-squared divided by x which is the square root of x. There you go, not hard. Just requires a little frontal lobe focus)
- 9 square root of x over the square root of y (here she has to remember that you do the division of coefficients separately.)
- square root of the quantity 2x over 3y (this is just a rearranging and combining problem really, not actually any calculating. The big thing is for your child to remember how to divide by a fraction)

Note: I am still looking for a good way to display these math expressions on the web site, so please bear with me for now.

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]]>The post Doodles and Decimal Derby appeared first on DoodleMom's Homeschooling Life.

]]>Decimal Derby is fun to play and since each player chooses their playing piece out of their personal collection of toys, the game becomes personalized to each child.

My little secret is that the game is so much fun that the Hub and I play it when the kids are not around… but now that I think about it, maybe that just simple means we are both terribly geeky parents.

Download the Decimal Derby Math Game HEREEither way, the game does teach a child how to add, subtract, multiply, and divide by decimals and whole numbers.

And for an algebra curriculum that helps you to teach your kids successfully, using the methods used by Ben Franklin and George Washington and our other great founders, try my Doodles Do Algebra series. I have published the first 3 books on Amazon as kindle books so far, with more to come soon. This week the newest in the series, “The Basic Math of Algebra” (http://www.amazon.com/dp/B01M8LGN4I) is available at a discount through the Kindle Countdown program and is $0.99 for one more day before the price rises (normally $6.99, so get it while you can at this low price)

I hope you enjoy it!

The post Doodles and Decimal Derby appeared first on DoodleMom's Homeschooling Life.

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