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  1. #11

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    Quote Originally Posted by inmom View Post
    Imaginary numbers are even cooler than negative numbers. They're basically the result of mathematicians going "WTF" when they tried to take the square root of negative numbers, which any kid who's messed with a calculator long enough realizes gives you an "ERROR" answer. That's because the answer doesn't exist amid the "real number" universe. Hence, the origin of "imaginary" or "complex" numbers, which don't exist on the number line. But it also opens up solutions to so many previously unanswerable problems.
    Ok, back on my math soapbox. I was just reading today's post of Math With Bad Drawings. One of the comments there is also a great way to visualize imaginary numbers. (Don't worry if your kid hasn't seen these yet. This is typically an Algebra II topic.) As a math teacher/tutor, I love this stuff. The method is similar to the number line example I gave above for multiplying two negatives:

    That multiplying by negative one changes the direction you’re pointing ( i.e. rotates you by 180), can be used beautifully to introduce the complex numbers, as multiplying by iota changes your direction by half! (i.e. 90 degrees)
    You’re neither pointing forward nor back, you’re pointing somewhere completely different-the imaginary axis!

    I first came across this in W.W.Sawyer’s wonderful book Mathematician’s Delight.
    Last edited by inmom; 12-14-2016 at 03:13 PM.
    Carol

    Homeschooled two kids for 11 years, now trying to pay it forward


    Daughter -- a University of Iowa graduate: BA in English with Creative Writing, BA in Journalism, and a minor in Gender, Women & Sexuality Studies

    Son -- a Purdue University senior majoring in Computer Science, minoring in math, geology, anthropology, and history

  2. T4L In Forum Oct19
  3. #12

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    It was dumping the whole day here...might even be 20in. I had to go shovel out the chickens twice and still had to go carry each one into the coop by hands at dusk - 28 total.

    We decorated our holiday tree today, had a big juicy conversation about why we do not call it 'christmas tree' like everyone else we know ). Did some math.

    Now the kids are watching Ice Age and I am baking a rump roast to serve with french-onion-soup-style spaghetti squash. Yum!
    mom to 3 girls: DD10, DD9, DD6

  4. #13

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    Oh, RTB, thank you for reminding me about World Market. Have to go there this month because they have so many interesting (and tasty) things before the New Year.
    mom to 3 girls: DD10, DD9, DD6

  5. #14

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    Good day friends! Cold weather is not going away. I am almost to point of accepting winter is here. (Yes I am a hold out)haha. So the last mow of the year might need to wait to be the first mow of Spring. Maybe.

    I set up an account for Ryan on Time4Learning. To offer some structure, and to find what areas he needs work on. We have spent few days going through the quizes and tests. Finding those areas that he missed in the early years. He seems to be very happy seeing the check marks on each area, and completing sections. However we found balancing different You tube videos to be extremely helpful.

    I learned today that he has no knowledge of the Presidents, monuments, or government in general. It seems every day I am discovering more and more about this child I never knew. Just assumed he had learned with his first family. I find myself stuck between extreme frustration that he is at the age he is without basic skills, and then excited that I have the privilege to see him develop.

    This week he was working on scales and tape measures. By chance we were rearranging a room and a small cabinet might fit in the closet, but we needed to know if it would fit. As I was holding one side, it was up to Ryan to measure. He reads off 22 inches. Then he starts counting up the 16ths. He gets to 14/16. Then he says "wait" I can reduce. I almost felt a wet spot in my eye. Then he goes 7/8. 22 and 7/8 dad. TALK ABOUT EXCITED. He was so excited, everything in the house had to be measured, and mom had to watch him draw different scale measures on the dry board. Now this is what home schooling is all about!

    Family learning and laughing together. Sharing victories and working out challenges! YES YES YES!
    Last edited by SDhandler; 12-14-2016 at 08:53 PM.
    Religion is excellent stuff for keeping common people quiet...Napoleon Bonaparte

  6. #15

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    I feel much better and was able to go to my daughter's performance. She did great!
    We skipped going out to dinner so the kids are doing a little bit of school work tonight - yeah!
    In a bit we are going to play Risk.
    The day started out crummy but is ending on a good note.
    homeschooled 4th through 8th grade - currently in public high school 10th grade
    Dumplett (girl - age 15) and Wombat (boy - age 15)

  7. #16

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    Today we met one of our new neighbors. No, it wasn't at our house, or even in our neighborhood. It wasn't even at the local neighborhood stores. No, it was at the Target about 10 miles away that I prefer. Yep, halfway across town to meet the ppl who live across the street. BUT, I found out they have a 7 year old little girl (same age as Tech) who they homeschool, who is ALSO an only child AND into Legos! Now, I need to find out if they are crazy religious ppl, not-crazy religious ppl, or secular. 6 weeks and I already know 3 ppl ON MY STREET who homeschool and/or do online schooling. I am LOVING this neighborhood!

  8. #17

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    Quote Originally Posted by alexsmom View Post
    Im giddy with the thought he might get imaginary numbers soon! LOL I havent peeked ahead to see if they are addressed in this math book. We are on the last chapter in his arithmatic career, thats pretty exciting too imo!
    Alexsmom (and anyone else into math and numbers),

    Here is another fun perspective on imaginary numbers: Math With Bad Drawings: Imagine all the Numbers.
    Carol

    Homeschooled two kids for 11 years, now trying to pay it forward


    Daughter -- a University of Iowa graduate: BA in English with Creative Writing, BA in Journalism, and a minor in Gender, Women & Sexuality Studies

    Son -- a Purdue University senior majoring in Computer Science, minoring in math, geology, anthropology, and history

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