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Tuesday, November 23, 2010

November 22, 2010 Day Fifty-Two

Review Day! 3 plus hours of Review work today and then on to farm for Play Rehearsal!

Good, hard work today but worth it because we're almost done with the unit!


 

Math Review: Sophie and I both struggled with this review. Sophie has a tendency to try to make math a lot harder than she needs to. Strangely, she goes at word problems especially assuming it's going to be a lot more difficult than it needs to be. She is also learning the hard lesson about math, especially with word problems, that a lot of the math you do are "steps" in a process towards the answer.

answer out. This can be interesting with me as her teacher because I struggle with math and numbers so much and it is in my nature to get very frustrated and to give up. One thing I have learned with math is to (and Sophie has heard me say this over and over and it's a lesson she is still learning) "TAKE YOUR TIME"!

So, we struggled. We worked on the Review together and Sophie did all the math on her own, with my support and guidance when needed. Math is going to be tough for us. But I think I am definitely challenging her with this Review and for the most part she did really well. The point of the Review is not to "test" her necessarily, but rather to "check in" and see where she is, where she's struggling, and where we need to work harder.

Because of this struggle we're having with Math, I have decided to alter the 5 x 5 for 5th grade and we are substituting the 5 pictures/ illustrations, which are not always applicable or easy to upload to the blog, with 5 math problems. Sophie is not super-excited about this change, which will be implemented starting next week, but I think once she gets into the practice of it she will be happy with the results.

Math Review

  1. You are building a stage! The measurements for your stage are 10 feet long by 6 feet wide by 1 foot tall. What is the Area of your stage? If plywood sheets are sold in prescribed measurements of 4 feet by 8 feet, approximately how many sheets of plywood do you need for your stage? If each plywood sheet costs $15, how much money do you need to build your stage?

    Area = 60 square feet 3 sheets of plywood $45.00


     

  2. We are sending a package to the girls in Virginia. Our box is 24 inches long by 12 inches wide by 6 inches tall. We will send books that measure 6 in by 6 in. by 1 inch. We will send boxes of cookies that measures 4 in by 6 in by 2 inches. We will send ornaments measuring 4 in by 2 in by 1 inch. And we will send them 3 pairs of shoes in boxes measuring 12 in by 6 in by 6 inches. How much space do we have to fill the box with presents? Can we send all the presents we want to in this box?

    1728 inches cubed 1572 inches cubed of presents     Yes!


     

  3. I have one whole pizza. I cut the pizza across four times. How many slices do I have? How do you write that in a fraction? If there are four people eating, how many slices each can they eat? How do you write their share in a fraction?

    8 slices 8/8 or 1 whole 2 slices 4/8 or ¼ of pie


     

  4. Our Disney trip will cost approximately $2500.00. There are four people traveling and we will be gone for fourteen days. How much per person per day will we spend on our vacation? We have twelve weeks to save all the money. How much money per week do we need to save?

    $45.oo per person, per day    $208.00 per week


     

  5. If we leave our house on Monday at 6:30 am and it takes approximately 11 hours and 15 minutes to arrive in Virginia, what time will we arrive? On the next day our travel time will be approximately twelve and a half hours. If we want to arrive by 7:30 pm, what time should we leave Virginia?

    5:45 pm on Monday

    7:00 am on Tuesday


     


     

    Bonus Question: Re-draw, label, and calculate our Columbus Day Nina experiment. (hint: really draw and "map out" the experiment we did in the driveway.)


     

    The dimensions of Columbus' ship the Nina are 67 feet long and 21 feet wide. The dimensions of an average sailor are 5 and a half feet tall and two and a half feet wide.

    1. Calculate the Area of the Nina. ___1407_________
    2. Calculate the Are of a Sailor. ____14__________
    3. Calculate how many "squares" of space a sailor had aboard the Nina if there were 25 sailors. ______4___________

      But remember! There are other "stuff" and people aboard who took up space. We figured all the fixtures (hatch, ropes, wheel, cargo-hold, etc.) took up approximately 81 square feet. We figured the Captain needed 224 square feet in his quarters. We calculated the officers took up 448 square feet.

    4. Calculate the total square feet of the other "stuff" and people on the Nina. ____448__________

      Using this new information.

    5. Calculate how much space the 25 sailors really had aboard the Nina. ____

      _2 ½ approximately___________

Plus 5 Approximate the Angles (all correct!)

Plus 5 double-digit multiplication—3 correct with 2 "wrong" with minor errors, which she corrected

Plus 5 Long Division problems using the 1 * 2 * 4 * 8 method to solve

Sophie also struggled with this portion of the Review. We discovered that she lacking the basic skills of rote, simple-math memorization and recovery. Her ability to easily recall basic, simple, one and two-digit subtraction especially is limited and leads to simple mistakes that cannot ever give her the right answer. I understand her frustration and her desire to give up, especially after you've done all the math "work" and even though all the steps were correct but the answer is wrong, you still have to start the problem over. It's a hard lesson and one I am still learning. So I say to her again, "Take your time." Math and numbers don't come naturally for either of us—we don't "think" in numbers and patterns. But that doesn't mean we can't learn math! For me, simplifying the math problem—even if that means extra steps and extra time—works better and more efficiently than guessing.

I look forward to implementing the new math aspect to Sophie's 5 x 5s and her Review worked as it should—it showed us the areas of math that she's ready to learn more: angles & geometry, fractions & decimals; and areas she needs more practice: word problems; and the math skills she needs to work on memorizing: basic subtraction and division problems.

Astronomy Review: She got a 98% we decided because out of 20 questions she had one she couldn't answer without help but when I guided her, she came up with the answer!

Astronomy Review

  1. What is a "star"?

    A ball of fire and gas

  2. If a star goes dark or "dies" five light years away, how long before we "see" it go dark on Earth?

    5 Earth years

  3. Why is the planet Mercury named so?

    Because to the Romans it was considered a "speed demon" so they decided to name it after the super-fast god messenger Mercury

  4. What is strange about Venus' rotation?

    It spins sideways on its axis

  5. How long in Earth years is Neptune's year?

    164 earth years

  6. How many asteroids have been spotted in space?

    Almost 5,000

  7. What us the name of our galaxy? How many light-years is it at its widest point?

    The Milky Way, 1500 light years

  8. What was the name of the first satellite? Which country sent it and when?

    Sputnick 1, Russia, 1957 * (Sophie needed some help with the actual date but approximated it on her own)

  9. Who were Laika and Ham? What did they do for astronauts?

    Laika was a dog and Ham was a chimpanzee. They proved life could be held in space

  10. What are space stations like and why?

    Little cities or towns in space. Because it is the home for astronauts


     

  11. What are two other names for the North Star?

    Polaris or the Pole Star

  12. What is a star's magnitude?

    *this is the one she skipped but after some minor "help" she answered it*

    How brightly it shines in the sky

  13. What makes Virgo special in the Zodiac?

    It is the biggest

  14. About how many minutes earlier does each star rise in the sky than the night before?

    4


     

  15. In what direction do the stars rise and set?

    East to west

  16. Does the sky move or do we? How does an umbrella help explain?

    We do. The point on the top of the umbrella is the north star and we spin under it, that's how it works.

  17. What happens in the Summer at the North Pole? How about in the Winter?

    The sun never sets, never rises


     

  18. What is a UFO?

    Unidentified Flying Object

  19. Why do stars twinkle?

    They really don't it's just the reflection of the moon

  20. What did a spacecraft recently get super close to?

    comet

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