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.

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. =)