Boeun's Scribe Post 04/17/07

Today in class (day 6 - period 6),
we corrected our blue sheets and got our homework. (blue sheet).

What we corrected (blue sheet):
LEGO
TRIANGLES (OR DIAMONDS)
I AM AN UPSIDE DOWN L

I'm explaining the LEGO one.

1. Draw out the next two patterns in the space below.

This is the answer for the question #1



Well, I can't actually explain you this right now. There isn't enough information. Let's go to the question #2.


2. Make a table to show the results of your investigation.



This is question 2. The answer is right below. =)



Here are my explanation:

The pattern is that the x row is starting at 1, getting larger by 1, and also in the numerical order. You could also see that the y row starts at 6, getting larger by 3 and the multiples of 3. This could be the answer for the question 3, which says to describe the patterns found in each row.

3. Describe the patterns found in each row.

x row
- starts at 1
- increases by 1
- numerical order

y row
- starts at 6
- increases by 3
- multiples of 3

Now, it's time to explain question 3B.

3B. Describe why the patterns increase the way that they do.

- The pattern increases by 3 because you are adding 3 legos to the edge to create the next figure.

My explanation is exactly the same as my answer for the question 3B.

4. Describe the relationship between the two columns.

- y is larger
- you have to add (+) or multiply (x)
- three times (figure #) plus 3
- 3n + 3


Here is my T chart.



4C. Write an algebraic equation to show this relation ship.

n = figure #
3n + 3

5. Predict what the 20th, 35th, and 99th diagram will look like.
(DO NOT PANIC)

20th -
n= FIGURE NUMBER
3n + 3 =
3(20) + 3 =
60 + 3 = 63
63 = 63

35th -
n= FIGURE NUMBER
3n + 3 =
3(35) + 3 =
105 + 3 = 108
108 = 108

99th -
n= FIGURE NUMBER
3n + 3 =
3(99) + 3 =
297 + 3 = 300
300 = 300

6. Predict which diagram will use 30, 50 and 125 blocks.
(Well, you have to change 50 into 51, change 125 into 126)

30 legos -
n= FIGURE NUMBER
3n + 3 =
3(9) + 3 =
27 + 3 = 30
30 = 30

51 legos -
n= FIGURE NUMBER
3n + 3 =
3(16) + 3 =
48 + 3 = 51
51 = 51

126 legos -
n= FIGURE NUMBER
3n + 3 =
3(41) + 3 =
123 + 3 = 126
126 + 126

For this question, as the questions says, you have to predict. Sometimes it takes long time to predict. There is short cut. Mr. Harbeck will teach us someday.^^
For example, let's figure out 30 legos.

n = figure number

3n + 3 = 30
......- 3.....- 3
3n = 27
..............27/3 = 9
3(9) = 27
27 = 27

This is a correct way to solve this kind of problems.

FINALLY THE LAST QUESTION! =)

7. Make a graph for the first 6 terms and label the line according by it's equation.

You have to make a graph for this question.



HOME WORK:

Today's homework is to finish up 2 blue sheets.
One is called Pyramid power and the other one is called Build me a house #2

This is just to show the pictures together.

I'm finally done and I hope you actually understand it.

Please comment if you want me to change something. Thanks. =)

Sribe Notes - April 12th 2006

Today we had started a new unit. It is .....

At the beginning of class Mr. Harbeck had given us 2 sheets of white paper to start a new Booklet entitled, Algebra Booklet #1

In the Booklet we had already started to write down notes. After the first page we had written.....


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#1. Tab Title: Key Words

Variable: a letter or symbol representing a quantity ( number)

Example

Epressions: an algebraic epression has many answers.

-it shows a pattern

-n+6 shows the pattern of a number increased by 6

Equation: an algebraic equation has only 1 answer.

Example:

#2. Tab Title: Words that mean +, /, x, -, =

Adding

add
sum
total
plus
combined
addend
more than
gain
increased

all together

Subrtacting

subtract
minus

reduce
difference
take away

subtrahend

decreased by

loss
diminish

less than

Multiplying

multiply

product

multiples

factor

times

groups of

sets of

number of groups

exponent

times greater than

repeated addition

Dividing

divide

quotient

percent of

dividend

divisor

half of

times less than

repeated subtraction

the last little space is for equals but we did not write anything there yet.

#3. Tab Title: Sample Questions

You have to write the date. These questions are due for Tomorrow, April 13th 2007 Friday

You have to write what the sentence is telling you to do.

For example:

8 more than a number- 8+n

The questions.

1. three times a number

2. three more than a number

3.three decreased by a number

4. three less than a number

5. one third of a number

6. eight more than three times a number

7. eight less than three times a number

Extra:

You can do these questions if you want.

1. seven less than four times a number

2. seven decreased by four times a number

3.nine less than twice a number

4.nine less than half a number

5.seven times a number increased

6.seven times a number increased by four times the number

so this is what we did in class for those of you who wern't at class this morning*ahem* ahem*

-Jaymie S.-