Archive for October, 2014

Dr. Abodeeb will be there to help facilitate viewing your projects. My suggestions are that you:

1. Bring a flashdrive with the video on it. There is a port on the podium marked, “iMac” where you can connect to the computer.

2. Use dropbox.

3. Email it to yourself.

Video Project
Create a video (no less than 3 minutes) on one of the operations with fractions. The video should include:
1. A demonstration of the operation using real world situations/materials.
2. A mathematical explanation of how AND WHY a particular approach to using fractions works.
3. Extra points for creativity and finesse (though you can get a 10 without these, whenever you go beyond, you will get points). This might include:
a. Compelling (accurate and illustrative) demonstrations
b. Slick video production (that helps explain your points)
c. Using especially difficult situations, numbers, or math (+2 if you take on division or multiplication WITHOUT USING THE ALGORITHM)

Menu for Tuesday

Posted: October 26, 2014 in Uncategorized

Here is the work you’ll be doing on Tuesday. Amanda (and Alex) will be there to help you.

Problems
w Aaron walks 7/8ths of a mile to school. When he turns his first corner he’s already gone a quarter of a mile. How much farther does he have to go?

ww What would you get if you divided a half of a half of a half by a half of a fourth of a half?

w How much money would you make in 8 days if you made 8 dollars every time the hands of a clock formed a 90° angle?

ww Sheena runs 1.5 miles. Shaina runs half as far as Sheena. Shinara runs half as far as Sheena. Shauna runs half as far as Shinara. How far does Shauna run?

Skills
Solve these equations using an area model
1 ¼ + ¼ = ​​¼ + ½ = ​​1/3 + ¼ = 2/7 + 3/5 =
2. 1/3+ 1/2 = ​​1/3 + 1/4 = ​​2/3 + 1/8 = 1/2 + 1/3 + 1/4 =

Journal
How does using a number line help you think about adding and subtracting fractions?

Game
NCTM Fractions Game:
http://illuminations.nctm.org/ActivityDetail.aspx?ID=18

Remember to Make a 0 – 1 number line and bring it to class. You should place 1/3 and 2/3 on this number line.

Please read Chapter 8 in The Man Who Counted. You can look at Chapter 7, but you’ve already read it. It’s about four fours.

http://tjzager.wordpress.com/2014/10/18/making-sense/

Please watch these videos about Fibonacci numbers:

https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-1-of-3

https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-class-spirals-fibonacci-and-being-a-plant-2-of-3

https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-part-3-of-3

Here are the questions that will be on your “reading quiz”:

What are Fibonacci Numbers?

Where are some places that we might find them?

What is interesting about them mathematically?

Work for Tuesday, October 14

Posted: October 13, 2014 in Uncategorized

Hi Everyone,

Here is the video to watch for this week’s class.

Also, please read Chapter 6 in the Number Devil.

See you soon,
Dr. T

1. Come up with an algorithm that you’d like to do for your first project. You’ll need to tell the other members of your group about it.

2. Solve the Boxes in Boxes problem below:

Boxes in Boxes

Determine the largest number of boxes of dimension
2 x 2 x 3
that can be placed inside a box
3 x 4 x 5
Explain your thinking. (Provide proof)

Homework for October 7

Posted: October 5, 2014 in Uncategorized

Please read Chapter 6 in the Man Who Counted. It’s a good story. Here are some of the quiz questions:

1. What test did the Visier give to Beremiz to prove his ability?

2. How did the Man Who Counted solve the problem?

3. What suggestion did he make to the Visier about the gift he was going to give his father-in-law?

4. What makes 256 such an interesting number? (Two things)

Menu

Posted: October 5, 2014 in Uncategorized

HI Campers,

Sorry for not posting this earlier:

  • Menu (Everyone)

Problems

w  Ann, Mary, and Brian ages were unknown. One of them was seven, another five, and another ten. Their last names (in no particular order) were White, Green, and Brown. Miss Brown was three years older than Mary. The White child was five.

What are the children’s full names and ages?

ww If a pentominoe is place somewhere on the 100 chart, will the sum of its numbers always be divisible by 5? If so, why? If not, why not?

w  Looking in my backyard one day I saw some boys and dogs. I counted 24 heads and 72 feet. How many boys and how many dogs were in my backyard?

w You are thinking about taking on a part-time job delivering newspapers to 250 houses. The supplier charges you $1.00 for the Sunday paper and $0.35 for the daily paper. You wish to make at least $15,000.00 a year. How much should you charge each customer each week? Assume that each customer receives the paper 7 days a week.

ww Chico and his brother Ralph start at opposite ends of a 90-foot swimming pool. They swim back and forth for 12 minutes. Chico swims at the rate of 3 ft./sec., and Ralph swims at 2 ft./sec. Assuming no loss of time for turns, find the number of times that Chico and Ralph meet each other during their swim.

Here’s an online abacus if you want to practice:

http://www.alcula.com/calculators/abacus/

Skills

  1. Demonstrate how to solve:

452 – 168

using the abacus, number line, and base 10 blocks.

  1. Demonstrate how to solve:

389 + 256

using the abacus, number line, and base 10 blocks.