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.

x row y row 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.

n= FIGURE NUMBER n= FIGURE NUMBER n= FIGURE NUMBER

3. Describe the patterns found in each row.

- starts at 1

- increases by 1

- numerical order

- starts at 6

- increases by 3

- multiples of 3

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

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 -

3n + 3 =

3(9) + 3 =

27 + 3 = 30

30 = 30

51 legos -

3n + 3 =

3(16) + 3 =

48 + 3 = 51

51 = 51

126 legos -

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.

click BEE AND CEE'S FINAL UN PROJECT to see our final project

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