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Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Growing Up

In our family, a working definition of a "grown up" is someone who no longer lives with their parents, and pays all their own bills.  It is our desire to see each of our children become grown ups someday.  As much as we love our kids, we do not want them living in our home forever.  And, have you noticed?  There is a lot of that going around.

Please don't misunderstand me.  I am not judging those kids who chose to continue living at home or the parents who support them.  My dearest friend is twenty-eight years old and still lives with her parents.  However, she has an amazing prayer ministry.  She cooks and cleans for the family.  And she has plans to be a missionary.  There are situations where having your child continue to live at home is the wise thing to do.

It may be that when the time comes, one or both of our daughters may choose to stay home.  I don't know. Sher Bear says that she will always live with us and take care of us.  Perhaps we will need taking care of by the time she is grown.  LOL!  We will cross that bridge when we come to it.  But our intention is for all three of the kids to have the skill set, ambition and opportunity to make their way in the world and move out of our home.

Jor Man turned eleven years old this week.  And we took the opportunity to reassess what he is learning.  Big Dad and I explained that our intention is for him to use this time to discover God's gifts and talents, and explore how he might use those to support his family someday.  He balked.  He didn't want to think about it yet.  Yeah, well, who really does?!

We ensured him that this is just a time of exploration.  He could identify several interests to pursue, and change his mind if he wants.  Now is the time to do this.  We would like for him to have a good first guess (or two) at his future career by age 13.

Then, at 13, we will begin to pursue appropriate apprenticeship opportunities.  Trying out a job before you put your time and money into preparing for it, gives you the chance to find out if you really like it or not - before you've invested "too much" to change your mind.

Hopefully, assuming the field he wants to go into does not require an advanced degree, he will already be working, maybe even in his own business by age 18.  Then he will be in the position to move to his own place and support a family.

But for now, exploring the possibilities looks like talking with mom and dad about his interests, praying and asking God for direction, reading books and getting a firm handle on how much life really costs.  Our first go around, one thing was for sure, Jor Man want to be rich.  (Don't we all?!)

So I decided to begin a unit study in financial stewardship.  Here's the plan so far:

Reading The Total Money Makeover, by Dave Ramsey.  Jor Man has been reading (and enjoying!) five pages a day, writing down three things he learned in his journal, and then we discuss it together.  This has started many interesting conversations about such things as whole vs. term life insurance, car payments, credit card debt, and pawn shops.  I love this book because of its biblical basis.  It also warns against using debt as a tool for creating wealth.  This principal would have saved so many people during the recent financial crises.

We watched Maxed Out, a movie about the debt crisis in this country, on NetFlix.  I liked it because it showed many, many real examples of people in debt.  It also showed the desire of credit card companies to pray on the poor, and on college students.  It is important to me that my kids understand that the credit card companies are not their friends.

I want to go through Richard Bolles classic, What Color is Your Parachute, with him.  Perhaps we can further narrow down the field.  This book looks at many different areas to determine what job would best suit you.

When we were first married, almost twenty years ago, Big Dad did a form of intensive career counseling, called DOMA.  It was so helpful to us in determining that he wanted to get his Masters degree in Human Resource Development, and go into corporate learning and development as a career.  Ralph Mattson, the creator of DOMA, has written a book, Discovering Your Child's Design.  This book, from a Christian perspective, takes the parent through the process of learning more about God's specific design for each child.  We plan to read this and go through the process over the next couple of years for Jor Man.

Next we will read Rich Dad, Poor Dad, by Robert Kiyosaki.  I realize that there is a teen version of this book.  But, really, the grownup version is so "dumbed down" that it is easily accessible to an eleven-year-old - especially when he is checking in with mom and dad every day for comprehension.  The book is not well written, but the information is invaluable.  I will add the caveat that "Rich Dad" recommends using debt as a tool to build wealth, which I do not agree with.  That is why we are reading The Total Money Makeover first.

My favorite book for understanding how wealthy people get wealthy, Rich Dad's Cash Flow Quadrant, is next.  Also by Kiyosaki, it carries the same caveat.  It explains, in detail, the different ways to create income.  I think it will be revelatory for Jor Man, and I cannot wait to hear what he thinks of it.

Lastly, I want Jor Man is read the book, The Duggars:  20 and Counting! I have been reading it, and am inspired by their financial principles.  Not only are they debt free, they have no mortgage, and they have passive income from commercial properties.  (Rich Dad would be proud).  While the book is interspersed with stories about parenting, marriage and faith as well, I was struck by their faithfulness to God's plan to not owe money to anyone.  God regularly met their needs, just in time, in miraculous ways.

This has been my experience of God's faithfulness.  Countless times, by trusting in God, and doing as He instructs, I have seen God bless me financially.  This is not the prosperity gospel.  I do not believe that you will be rich if you really believe in God.  It certainly didn't work that way for either Jesus or Paul.  But I do believe that God is faithful to meet our needs if we will trust Him instead of trusting in debt.

The Campster, with her awesome new reading skills, noticed and read to me the other day from the top of a dollar bill, "In God We Trust".  She was amazed to find that on the dollar.

Perhaps our forefathers meant it as a reminder to each one who holds a dollars in their hand, not to trust the dollar, but the Lord.

Wish you were here!

Free Homeschooling

Homeschooling doesn't have to cost anything.  Really.

(Although, I do recommend that every homeschool family have an HSLDA membership.  It's important to protect yourself, and your membership helps keep homeschooling legal in all 50 states.)

I absolutely adore curriculum.  It's really fun to look at and play with and plan for.  But in reality,  sometimes the kids like it.  But more often than not, we spend a whole lot of money on something that looks great, only to find that, after a day or two,  the kids are no longer keen on it, and the haranguing begins.

Cause if I've spent a lot of money on some curriculum I thought was going to be wonderful - well, then we must use it, right?

On the other hand, if I get my stuff for free, then I don't much care whether the kids love it or never want to play with it again.  I have the freedom to let them enjoy it or not.

Please be aware:  While I have personally looked at all of these websites - it is not possible for me to have looked at all of the games/links as there are literally thousands.  Please, please, never let your child access the internet without your supervision.  Computers with internet access should be in a common area, where you - the parent - will be aware of what your kids are being exposed to.  I know of several Christian, homeschooling families who trusted their kids to know what not to look at - and their kids were inadvertently exposed to, and subsequently addicted to porn.  Be careful!!

Here are some free curriculum sites (in no particular order):

MULTIPLE SUBJECT, GRADE SCHOOL AGE GAMES:

Starfall:  Early primary phonics, math, silly learning games.  My kids love it.


Learning Games for Kids:  Like the name says, lots of games in all areas.  Let them choose and you sit back and watch them learn.  :)

Gamequarium:  More games for elementary school age.

Game Classroom:  Kindergarten through sixth grade games in all areas.  These games are developed to match state standards.  (Is that a good thing? - LOL!)

Arcademic Skill Builders:  More K-5 games in all areas.

ABCya!:  Lots more great games.  I like playing the one where you fit the United States in the map, one state at a time.  My high score is 320 on hard.

Fun Brain:  Reading and Math games for grade school age.

Sheppard Software:  Hundreds of educational games, activities, quizzes, articles and more!

Funschool:  Worksheets, online games, craft videos - it's got it all.  But I detest the commercials.

PBS Kids:  Games, coloring sheets, and worksheets associated with all the PBS shows.  Mostly fluff and commercialism, but some good stuff.


HISTORY/SCIENCE:

National Geographic Kids:  Lots of interesting things to do and see.  Plus some learning games.  Warning- definitely a site that believes in evolution and that the world is billions of years old.  If you, like me, believe in young earth and that God created humans - then you will want to be sure your kids understand that this site does not support that.


Answers in Genesis kids' section:  Fun videos, worksheets, coloring pages, crafts, etc.  Love it!


Usborne Quicklinks:  Links to educational websites galore!

MATH:


A+ Math:  Math games, worksheets, flashcards.


Timez Attack!:  Teaches all the multiplication facts, 2 x 2 through 12 x 12.  Fun!!


Manga High:  Lots of math games for upper elementary and middle school students.


Cool Math:  Higher level math games, primarily for older kids (and adults).  


Sum Dog:  Math games that cover 100 numeracy topics at 10 levels.

The Math Worksheet Site:  Make up worksheets and charts based on what your kids are currently studying.

TYPING:  


Learn2Type:  Like it says, free online typing tutor.




SPELLING/VOCABULARY:

Spelling City:  Spelling and vocabulary for all levels.  Use their suggested lists or make your own list and convert it to word searches, games, and tests.  



READING/BOOK LISTS:

Book Adventure:  This Sylvan sponsored site offers both reading suggestions for all ages, and quizzes to check for comprehension.  If your child is an independent reader, you can set up rewards for him/her to get when then read a certain number of books and score well on the tests.  Nice!!


Ambleside Online:  Book lists (some are free online and some you get at the library) and guidelines for the popular Charlotte Mason method of homeschooling.  Great place to get inspired.  


GEOGRAPHY:

Seterra:  Fun online geography practice.  Better than just a quiz - actually helps you learn the major citys,  countries, etc.



Wish you were here!

Coins

Children have a natural curiosity about money.  I wonder if they sense how much we value it?   I wonder whether our connection to money fuels their interest in it?

One of the things that Campster expressed an interest in learning about this year is money.  She has gone in two months from not really knowing her dimes from her nickels, to feeling pretty confident about adding sums in her head.

Here she is doing a project from a great series called "Math By All Means".   A wonderful friend handed down a bunch of these books to me, and we pick them up from time to time to do a lesson from them.  This fall we've been doing the Money book, and the girls have been loving it.

I have a change jar that I use for these lessons.  Campster first sorted the coins into Quarters, Dimes, Nickels and Pennies.  Then, taking just the pennies, she used a magnifying glass to identify the date on each one.  We wrote the dates on Post-its and lined them up in order on the dining room table.  Then we added our families birth years as well.  We talked about which pennies are older than Big Dad (that's really old!) and which ones were younger than Sher Bear.  She learned about dates and became very comfortable with identifying pennies.

I am finding that I will sometimes think that a particular lesson from the book is silly, or won't hold the kids interest.  But when I try it, Surprise!  The kids actually love it.

On the other hand, sometimes I will be really excited about a certain project, only to find that the kids couldn't care less about it.  The tendency used to be for me to try to talk them into it.  But I am learning that it is better to just say "Okay, I can see you are not interested in doing that."   Then I can move on to something else that might be more exciting for them.  Or just take a break from that subject for a while.

By the way, please do notice the torn and worn wallpaper in the picture.  We have just repainted the dining room - and I will be posting "after" pictures soon.  :)

Wish you were here!

Take Me Out to the Ball Game

Despite Campster's serious look, everyone was having a great time.

Libraries in Connecticut sponsored a summer reading program this summer, complete with prizes from Barnes & Noble, Quassy, and Rockcats baseball.

All three kids won free tickets to a minor league, Rockcats baseball game.  We just had to pay for the adult tickets ($8 a piece) and parking ($3).  The kids even got free hot dogs and waters!

Minor league baseball is, in my mind, so much more enjoyable than major league. There is a strong feeling of community!  It's not as crowded, and there is much to see and do.

The view from our seats.  Not bad!
Always learning, the kids had fun finding their seats using the numbers and letters on their tickets.  Then we talked about the scoreboard, and reviewed the rules of baseball.  There's lots of counting involved in a baseball game.    We also noticed the sign tracking the speed of the pitch, and the many billboards to read.

At the minor games, every break is time for some other community group to be acknowledged.  On the field, children raced, danced, did Tae-Kwon-Do demonstrations, and sang the national anthem.

There were give aways, and the kids all got soccer balls (which we put in the car right away).  We even met Miss Connecticut, who was very nice.  The girls thought she was a princess, because of her tiara.  They had never heard of beauty pageants.  Jor Man got autographs from two of the teams three mascots.

Wish you were here!

Balancing Act

Campster and Jor Man on a log and board at a friend's house.

This is just a piece of log and a board, with a screw in the middle.  Can they balance?


Jor Man comes in to the middle, and Campster out to the edge.  Almost got it!


Ta Da!!



Wish you were here!

Space in Time

Sher Bear is really good at cracking eggs!
In a previous post, I told you how four-year-old Sher Bear is now in charge of breakfasts.  For the record, everyone is doing an outstanding job with their new posts.  If I made a listing of everything they have cooked, you wouldn't believe me.  So perhaps I need to get my camera out more often.

Here, Sher Bear is cracking eggs for scrambled eggs with cheddar cheese.  We use a dozen eggs for our family at breakfast, so she is cracking all twelve.

About three eggs into it, she noticed: "Hey, Mom, I cracked three eggs and there are (counts). . . nine eggs left!"

"Yes,"  I say "because three and nine make twelve."  Now she is onto something.  And she stops after every egg broken to count and reassess the situation.

I didn't get my camera out until she was down to four eggs.  She sits on the floor as she cracks them, because that is easier for her.

This is the quintessential unschooling moment.  Counting eggs while cooking.  Never mind that it delayed breakfast.  It was worth it.  And that got me thinking.

How much learning is missed because we are too busy and hurried to take advantage of it?  When I started homeschooling with Jor Man six years ago, I was very into the schedule.  We had our days packed, and it wasn't easy fitting in all those subjects along with driving to this meeting and that class.

The times when I stressed and feeling like I am needing to be somewhere or do something - I am not available and aware of the learning moments.  And when I am not present and in the moment - that is when I am gruff and short tempered.

Our schedule has changed drastically due to my illness last year.  There was a while there when I couldn't drive, and I needed to take things one moment at a time.  I couldn't plan things into our schedule, because I didn't know how I'd be feeling.  So we just learned to flow through the day.  First we would do one thing, at whatever pace necessary, and then we might move on to the next.  But I was easy and gentle with myself, and with the kids.   Now that I am better, we've kept the slow schedule, and it is working much better for us.

Wish you were here!

The New Chefs

Campster's Gluten-Free, Butterfly-Shaped, Pepperoni Pizza

My kids have always liked to help out in the kitchen.  Now that I am done with my chef job, and back to my full-time mommy job, I decided I'd like the kids to do more of the cooking.

Cooking is the perfect unschooling medium.  It involves planning the menu and writing it out, reading the recipe, shopping for the ingredients, economizing the purchases, coordinating the time it will take to cook with the time it will be served, measuring ingredients (fractions!), time and temperature, safety training, nutrition. . . I'm sure I've missed some, but you get the idea.

We have conversations about why eating only mac & cheese for three meals a day would not be good for your body.  We talk about carbs, proteins, fats and sugars.  We categorize foods into meats, dairy, grains, vegetables and fruits.  We pick fresh produce from the garden.  And we butcher our own chickens.  Lots of botany and biology going on.

For now we have settled on Sher-Bear cooking breakfast, Campster cooking lunch, and Jor Man cooking dinner.  They plan the menus out a week in advance and help with the grocery list and shopping.  I encourage them to think ahead a couple of days and see what they might need to either defrost or to prepare in advance.  For instance, on Sundays we always have a potluck lunch after church.  So Campster needed to prepare the pot roast (crock pot overnight) and the brownies the night before.  And Jor Man is making Coq Au Vin for dinner Monday night, so it will start cooking Sunday afternoon.

This morning, Sher Bear cooked scrambled eggs and bacon for us.  I supervised, but she did most of it herself.  Before we eat, we all say "Thank you" to the chef, (who is beaming) and then we give thanks to God for the food.

Wish you were here!

Skills

Jor Man with the Coconut he found and opened
Dakota's comments on the last post really made me smile.  I love ALL your comments.  Keep them coming.  But what you may not know is that Dakota and I know each other in real life.  In fact, she's the person who encouraged me to start writing this blog - and the person I am usually thinking of when I write it - My audience of one, and the rest of you are all gravy!!  Wonderful gravy.  Dakota challenges me with her questions and makes me think about why I am doing what I am doing.  Not that I haven't thought about it before, but putting into words clarifies it for me.

But back to Dakota's comments.  For the record, I also started out as a Classical-minded, Charlotte Mason leaning educator.  I still am.  I love the classics and good literature.  I read "The Well-Trained Mind" through several times before my oldest child turned 3!!  We have a lot in common, Dakota and I.  (The two best ways to totally overwhelm yourself before starting homeschool are to read through The Well-Trained Mind, and to browse through the Rainbow Resource Curriculum Guide.  The options are indeed endless.)

It is so easy for me to fall back into that - it's deliciously comforting to me in theory.  I love the idea that I could educate my children in such a way that they would have read all of those wonderful books, and had a very rigorous and thorough education.  It's just that when I tried, I found a different reality hitting me in the face.

At Auto Safari Chapin in Guatemala
I didn't like the struggles with my kids (mostly Jor Man, since he was the guinea pig first born).  It broke my heart to see his initial joy and enthusiasm toward learning turning into a grimace, a pout and then all out defiance.

Reading John Holt's "How Children Fail" was such a revelation to me.  I was expecting my children to produce a certain result.  And this had slowly become so much more important to me than the fun of learning.  I saw in that book that I was producing for some unseen (and some seen) critics of my homeschooling.  I felt I had to produce brilliant and well-schooled children in order to "prove" that my choice in homeschooling them was somehow justified.  (As if I could convince anyone who doesn't want to believe in homeschooling.)

Hitting the wall came for me in fits and spurts.  I noticed how much they learned when life created a necessary school break.  Instead of "regressing"  when we took a break, they excelled.  It got downright embarrassing.  They did better when I didn't teach them than when I did.  Hmmm.  So much for proving myself.

Sher Bear's drawing of the boy we met carrying his parrots on a stick
I noticed the "teachable moments" - those times when they were really excited about about a beaver, a fly or a plant they found in the yard.  I noticed how a movie could open up a whole discussion about something, that (prior to the movie) they had not been interested in.

Piece by piece, I realized that my teaching them was not the joyfilled, fun experience we were all hoping for.  I organized, planned and imagined wonderful times of learning - and in practice, there was arguing, groaning and (yes) yelling on my part.

I considered sending them all to school.  Perhaps it was just that I was a poor teacher.  Or perhaps teaching and parenting was too much for me.

After digging for Mayan artifacts in the mud, Sher Bear does her "yucky" face
But I found something else.  I clung to the moments of wonder.  Instead of urging them to get back to the table and finish their worksheets, I entered into their questioning of the world.  Discovery became an adventure - OUR adventure.  And they started asking me for help.

"Mom, could you help me figure out how to skin this snake?"  Umm, ugh, okay.  "Mom, can we find the chicken's brain?" (while slaughtering our chickens)  "Mom, how do you spell Birthday?"  "How do you make a B?"  "How many quarters do I need to buy my doll a backpack?"

This Monarch butterfly is one of the many Campster will catch this summer.
All the subjects flowed naturally from their curiousity.  I no longer needed to coerce them into learning.  I just needed to be willing and flexible.  Suddenly, I was the best "teacher" ever.  They were learning, and I was helping.  I wasn't getting in their way.

Dakota, you mentioned skills like reading, writing and math.  I know you well enough to know that you read volumes to your kids.  They will read.  You don't need to teach them.  They'll get it.  They'll start asking you how to spell words and how to make the various letters.  They'll become interested in numbers, counting, and how many.  Before you know it, they'll be doing division, and you will have never "taught" them it.  That's how its happening in our house.

Campster and Sher Bear climbing the steps of an old chapel
If your kids are begging you to teach them to read, facilitate their learning.  Doing it every day is great if you want them to read early - but if they get frustrated - back off.  Kids who feel like mom or dad (or teacher) is disappointed in their progress start to shut down.  Every time my daughter reads, she's so much better than the last time.  It's a natural developmental process.  Like talking.  Like walking.

When my kids were learning to walk, I sometimes did egg them on.  It's fun.  And as long as it was fun for them, they would humor me and try.  But sometimes, I think, they didn't want to.  They resented the pressure.  Imagine if there was a school for walking.  Imagine we sent our kids to walking school, and they were graded.  Some kids were considered remedial walkers.  Really - that sounds absurd.  Or talking school?!  We play with kids when they babble.  It's fun and that is how they learned to talk.  We talked with them.  Can you imagine step by step instructions for teaching your child to talk?  "Teach your child to walk and talk in 100 easy lessons".  Crazy.  So why is reading, writing and math any different?

Jor Man overwhelmed by his club sandwich!
By not teaching my girls these things, I have noticed the natural development that occurs in these three areas if children are left to investigate them at their own pace.  It's so amazing.  Just like walking, talking, and feeding oneself - children naturally learn to read, write, and do math.  It's built into our development.

These are skills.  I agree with Dakota.  We can place them in a category different than, say, American History.  We do use them everyday.  Even without trying to.  Give your children an environment that is full of real life (not an isolated existence in a classroom full of their peers), and watch them develop naturally - with all the love for learning that God gave them.

Wish you were here!

P.S. - Dakota - I love you whether you homeschool or not - whether you unschool or insist on doing the trivium.  Whatever works for you and your kids is wonderful.

Counting Ping's Family

Yesterday, the girls were reading "The Story About Ping", by Marjorie Flack and Kurt Wiese, again.  It's such a great book.  I love all of the opportunities for learning in it.  We have discussed geography - the book takes place in China on the Yangtze River.  We have found it on our map.  We discussed that this is the same country that the movie "Mulan" is based in.  There is also reference to the sun rising in the east and setting in the west.  So we've talked about directions.  Which way does the sun set at our house?  Yup.  It sets in the west here, too.    It's fun to show them this with a compass.

That's a lot of ducks!
I love that Ping disobeys because he doesn't want to get spanked.  And how he gets lost from his family because of his disobedience.  There is also a boy who disobeys his parents.  Perhaps we could decide that this is a good thing because Ping lives - but the family will now go without dinner!  (Not okay in my book.)  Don't miss the opportunity to discuss the importance of obeying your parents.

In the end, Ping finds his family, but he must decide whether or not to join them, as he knows he will be spanked for being late!  He decides it is worth it.

But the part of Ping that the girls picked up on yesterday was the numbers.  Ping's family is described several times as consisting of Ping, his mother and his father, two sisters and three brothers and eleven aunts and seven uncles and forty-two cousins.  (Love the large family).

Math-U-See Starter Block Set
The girls wanted to know, "How many ducks does that make in all?"  So I asked Campster to get the Math-U-See blocks I bought for her at the MASSHOPE convention.  These are plastic unit blocks in different sizes and colors.  What you can't see in the picture is that there are two layers, and under what you see are four red "100" blocks.  The girls are loving using them to figure out any math problems they come up with.  I opted this year just to get the blocks.  I hear from many friends that the curriculum is wonderful.  But I have not used it myself.  I showed Campster the blocks at MASSHOPE and she really liked them.

Ping, his mother, and his father.
So we started with a 100 block to place the other blocks on.  Then we added one green block for Ping, followed by a green block each for his mother and father.  Don't miss the opportunity to recognize that we now have three ducks.

Two sisters and three brothers
Eleven Aunts
Then we added his two sisters (using the orange 2 block) and his 3 brothers (using the pink 3 block).  How many ducks do we have now?  Campster told me eight.  When I asked how she knew that without counting, she told me that she saw that it was two less than ten, and she knows that is eight.  (Hmm.  Don't remember teaching her that.  Could it be that she is learning math without being taught?)

Next we added Ping's eleven aunts.  Campster knew that eleven would be a ten and a one.  By making the largest block a ten, it shows place value.   Now we have a total of ten and nine - which is nineteen - or twenty minus one.

Seven uncles = Six plus one
Forty-two cousins
Next the Campster wowed me with her suggestion.  Rather than add a seven block for the seven uncles, she suggested that we do a six and a one and fill in the missing block in the upper right corner.  Now we have two rows of ten and six.

Last we added the forty-two cousins.  Campster grabbed four tens and a two.  Hard to "read" it this way, though.  Let's put all the tens together, and then the ones.

Sixty-eight ducks!!
Now we can count six tens and eight ones.  Sixty-eight ducks!  That's a lot.  (We "only" have 51 quail!)  The girls felt happy with their successful counting of the ducks.  Then we put all the ducks (blocks) back in the box for next time we want to do some math.

Isn't math fun?

Wish you were here!

Pi Are Round

The beautiful young woman is our friend, Grace.  She comes to stay with us from time to time.  And we benefit from her friendship, her delicious cooking, and her prayers for us.  This is a picture from her last visit when she made us apple pie.  It was the only picture of a pie that I have, so. . .  But I am sure you will hear more about Grace in the future as she is coming in two week for another visit.  So I am glad to introduce you to her now.

Jor Man asked at breakfast, "What is Pi?"  He had heard of it in a movie, and then again in a book he is reading.

I got out a sheet of paper and began to explain, "Imagine we were putting in a garden, and we wanted to make it a circle.  How would be know how much fence to buy to go around the outside?"

"Well,"  Jor Man reasoned, "How big is the circle?"  He already knew about radius and diameter, so we went over these terms with the girls.  Then we added the term "circumference" to all their vocabularies.

The magic of Pi was revealed.  Big Dad showed them how the circumference of any circle is the diameter three times and a little more.  That's true whether it's a really big house-sized circle, or an itty-bitty circle.  Ooohh!  Aaaahh!  The kids, including the very-hard-to-impress Jor Man, were wowed!

Next I "Swagbucks" searched the term Pi, and read it to them to the 20th digit.  We explained that it goes on forever and never repeats!  More awe.  I also told them that my brother had Pi memorized to the hundreth digit when we were kids.  Really.

We did the math to figure out how big the fence would need to be for our imaginary garden.  Then I asked, how much area is inside the circle?  Huh?

I explained.  Let's say we want to plant wildflowers, and the package says to sprinkle so much seed per square foot of garden.  Confused looks.  An explanation of the concept of a square foot ensued.  Then we went back to the question.  How many square feet in our imaginary garden circle?  How could we find out?  We drew a square around the circle and used the diameter as the length of the sides.  We estimated the number of square feet in the circle based on the square feet in the square.

Then I showed them how to use Pi to figure the area of a circle.  Pi x radius squared, or Pi r squared.  (Forgive my not using the symbols here.  I fear they will not translate well in the blog and come out all funky.)

Pi r square.  "No!"  Jor Man laughed.  "Pi are round!"  And I laughed, too.  Because that was what my mother said when she taught it to me.    We figured out the area and compared it to our estimate.  It's a good thing we have Pi.  The estimate was pretty off.

Wish you were here!

Playing Math Games

Today was a PJ day.  It was only going to reach a high of 50 degrees, and Big Dad had the car for a conference.  So we weren't going out today.  It was a great day to stay inside and make brownies.  My camera needs new batteries.  I promise to post pics once I've been to the store to buy batteries.

Jor Man asked me to play Monopoly, which we hadn't done recently.  He received Monopoly Here and Now for a gift a few years ago.  It's especially fun because there are famous US sights as the different properties, and the money is $10,000 to $5,000,000 instead of the classic $1 to $500.  Jor Man is able to handle these larger denominations.  I think it is great fun to work with these kind of big numbers.

Well, I beat him.  It was close.  I had to mortgage some properties at one point (which uses percentages, and teaches about interest).  But in the end, I got lucky and I won.

Other "math" games that are good for 10-year-olds include:

Yahtzee (great for multiplication)
Milles Bornes  (addition)
Cash Flow (teaches about passive income, lots of addition and subtraction on paper)
Set (higher level logic and grouping)
'Smath (all forms of computation)
Clue (Deduction)
Chocolate Fix (logic)
Battleship (graphing and deduction)
Mastermind (deduction)

Then Campster wanted a turn.  For her, I broke out our classic version of Monopoly.  Well, it's not entirely classic as it is in Spanish.  My mom thought it would be fun to play Monopoly in Spanish.  Yeah, not so much.  :)

But the Spanish isn't an issue for Campster since she is not reading yet at a level that would enable her to read the cards herself.  I chose the game with the smaller denominations of money, because Campster would not be able to handle the larger amounts.  That said, I was amazed by how much math she was able to do, in her head.

She has never been "taught" math.  We have counted, looked at calendars, sung songs and played games.  She has some Kumon workbooks about the numbers 1-120.  She has done dot-to-dots.  But we have never given her a math curriculum or intentionally covered addition or subtraction.  Yet, she was able to count out the money.  She was able to successfully count change.  She didn't always get it right - but her process of figuring it out was correct.

Playing Monopoly also is great practice for adding numbers up to 6 + 6.  Every roll of the dice is added up and counted out.  She desperately wanted me to land on certain spaces, and would count out how many I needed to roll to land there.  Say she wanted me to roll a 7.  She would say "God, please let Mom roll a 6 and a 1.  Or a 5 and a 2.  Or a 3 and a 4."  Awesome.

Oh, and I beat Campster too.  Ruthless!

Other games that are great for playing math with 7-year-olds include:

Phase Ten (sets and sequential numbers)
Guess Who (Introduces logical deduction)
War (greater than, less than)
Trouble (counting)

I didn't play Monopoly with Sher Bear.  She is too young for that.  We actually took a bath for our time together.  She was my home water birth and it shows.  But when I want to play games with her,  here are some math games to play with 4-year-olds:

Numbers Bingo (numeral recognition)
Chutes and Ladders (counting)

Here is a great website with more ideas for using games for homeschooling.  When I am introducing a new game to a child, I like to play one-on-one until they are confident about the game.  Trying to learn a new game while your older brother is trying to beat you is too distracting.  I grew up in Chicago, and we played games all winter long (when we weren't at school - LOL!).  I really enjoy playing games with my kids.

 Wish you were here!

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