Return to Earth

March 29, 2008 at 12:29 pm | In Activities, Module 4, Ratios, algebra, seventh grade | Leave a Comment

http://www.nasa.gov/audience/foreducators/topnav/materials/listbytype/Space.Shuttle.Glider.html

This link is to a hands-on activity where students create their own Space Shuttle Glider that is a scale model to the actual U.S. Space Shuttle Orbiter.  This activity caught my attention because it is hands on and seventh graders love to build things!  I also think it’s really neat to learn something about the orbiter while practicing math skills, specifically ratios and proportions.  Project materials are included in the downloadable PDF file.  Some additional materials must be supplied.

The project challenges students to follow directions to build an accurate glider that will “take flight.”  Then students have to apply ratios and proportions to find the scale factor between their glider and the real orbiter.  Next students find the glide ratio (height to distance) of their glider as they launch it horizontally and it makes a safe landing on the ground.  This will lead students to research and compare the glide ratios of other aircraft.  Lastly, students use a fishing line guidance system to simulate the landing of an orbiter on the airstrip.

Inverse Properties

March 28, 2008 at 1:59 pm | In Module 4, Vocabulary, algebra | Leave a Comment

Inverse Property of Addition
The inverse property of addition says that if you add a number and its opposite, the sum is 0.

For example:    (-6) + 6 = 0 or 2x + (-2x) = 0
In general:  a + (-a) = 0 or (-a) + a = 0

Inverse Property of Multiplication
The inverse property of multiplications says that if you multiply a number and its multiplicative inverse, the product is 1.

For example: (8)(1/8) = 1 or (3/4)(4/3) = 1
In general:  a(1/a) = 1 or (1/a)(a) = 1

My Mathography

March 21, 2008 at 2:07 pm | In Module 3 | 2 Comments

From elementary school, my favorite memory of math is playing Around the World.  We would do this to test our facts.  I didn’t really like the competition so much with the other students but with myself.  I would keep track of how long my winning streak was and try to beat it the next time it was my turn.  My least favorite memory was the start of having a math textbook in third grade.  We would have to do homework from the book.  At the time, I was very serious in gymnastics and trained 20 plus hours a week.  Often I would have to do my homework in the car on the way home.  I’d have to wear a flip up light around my neck and balance my book, paper, and pencil.  One time I forgot to put my name on my paper, and my teacher made me stay in for recess and write my name 50 times.

The first thing I remember learning in math class was to count.  In Kindergarten we learned to count by ones (of course), but then by 2’s, 5’s, and 10’s.  Then we learned to do all of them backwards.  We were supposed to practice them at home, and I remember reciting them to anyone who would listen for as many times as they would listen!  I think my older brother and sister hated me!  In school, we would practice by going around the room with each person saying the next number.  There was one little boy, who I’m still friends with today that would never pay attention and know where we were when we got to his turn.  I sat beside him, so I would always help him by repeating the number before his.

My favorite math teacher was my freshman year when I took Algebra II/Trigonometry.  I don’t know that there was anything special about the way she taught, but she fit my personality perfectly.  She was very structured and precise.  Her directions and assignments were always clear.  Everything always seemed to make sense the way she explained it, because I think she always connected the concepts to other concepts or to real-life events.  We would do projects every month and present them.  A lot of times doing “projects” seemed like a waste of time to me, but I always learned something doing her projects.

I think math has always been my favorite subject.  I always loved to read too, but I hated all the questions you had to answer about books and all the technical grammar stuff.  Why couldn’t we just enjoy reading a book?  All that other stuff ruined it!  I hated not being sure of my answer or having to be creative and make up stories.  I especially hated drawing pictures to go with the stories.  Math was always so concrete to me.  I liked knowing I had the right answer and having the work to back to it up.  I liked being able to tell for sure why the answer was the answer.  When you answer questions about literature, there is always more than one way of looking at things and your teacher might not agree with you!

How does this work?

March 21, 2008 at 3:11 am | In Module 3, algebra | 1 Comment

At the beginning of the week, I read this assignment and worried that I would have nothing to write about. How embarrassing would that be that a math teacher didn’t encounter any math throughout the week? Now that it is time to do the assignment, I find myself choosing from several events.

A teacher at my school sent out an email with the subject, “How does this work?” It was a link to this page: http://www.milaadesign.com/wizardy.html. She seemed to think that it really might be magic, and that her computer really could read her mind! I took a quick look and figured there was math behind it, and later that day, when I had time, returned to the site for a closer examination. The site asks you to pick on 2-digit number. Then you add together the digits and subtract the sum from your original number to get your answer. Then it shows you an assortment of pictures paired with numbers. You are supposed to stare at the image that matches with your answer for 10 seconds. While staring, your image shows up and enlarges in the center of the screen; just as if the computer might be reading your mind! You might want to check out the site to see for yourself.

That afternoon I emailed her back with the following explanation. It turns out that you can let xy represent the 2-digit number. The tens-digit is represented by x, and the ones-digit by y. This value of this number would be 10x + y. Then you subtract from that (x + y), giving you (10x + y) – (x + y) which simplifies to 9x. Thus, your “answer” from above will always be a multiple of 9. All multiples of 9 such as 9, 18, 27, 36, 45, etc. are paired with the same symbol, so no matter what multiple of 9 you are looking at, it will be the same image that appears on your screen! Then, so you don’t get suspicious when you try it again, they mix up the symbols so you won’t get the same symbol each time! I don’t know who has enough time on their hands to design a website like that, but I thought it was pretty cool. The next chance I have to use my mobile lab with my students, I am going to have them try the website for sure!

Module 2 – Key Vocabulary

March 15, 2008 at 2:23 am | In Module 2, Vocabulary | Leave a Comment

Key Vocabulary

  • integer
  • operations
    • sum
    • difference
    • product
    • quotient
  • positive
  • negative
  • absolute value

ABSOLUTE VALUE: (Informal) A number’s distance from zero.  (Formal) The absolute value of a number a is the distance between zero and a on a number line. The symbol |a| represents the absolute value of a.

(References) http://en.wikipedia.org/wiki/Absolute_value  http://www.purplemath.com/modules/absolute.htm

Welcome to my Weblog!

March 15, 2008 at 1:59 am | In Goals, Introduction, algebra, seventh grade | 2 Comments

Hi! I am Mrs. Boyer and I am a 7th grade math teacher at DHEMS. I teach Algebra A and Algebra I. I have a husband, Mr. Boyer, a dog, Sawyer, and two cats, Samson and Delilah. This summer I will be having my first child, a baby GIRL! I enjoy scrap booking, activities outside, watching movies, and reading.

Throughout this course, I hope to learn some strategies to help learning algebra more interesting and engaging to 7th grade students. I am looking for some realistic and easy to implement activities. These strategies should help me to better teach and relate concepts to students. Secondly, I would really like to learn ways to implement writing and journal writing into my algebra curriculum.

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