Nathaniel's Scribe Post

Patterns 2!!

Mr. Jerema gave us two charts the other day. We had to make a chart and a ratio table, describe the patterns in each row, describe the relationship between the two columns, make an algebraic equation to show that relationship, then find out what the 20th, 35th, and 99th diagram would be.

This is the first chart he gave us.











We had to make that into a chart.. like so






and into a ratio table..



















3. Describe the patterns found in each row.
Well you can see that x, starts at 1 and goes up by 1, and y, starts at 1 and goes up by 2.

4. Describe the relationship between the two columns.
If you have the years over 10, and lets say you have 2. You would have to multiply it by two and subtract one to get y, since this works for all the years over 10.

C. Write and algebraic equation to show this relationship.
y=2x-1 x = years over 10

5. Predict what the 20th, 35th, and 99th diagram will look like.
We use the algebraic expression here, and having 20, 35, and 99 the years over 10.

note:re write the expression and fill it in.

20th
- 2x-1
- 2(20)-1
- 39

35th
- 2x-1
- 2(35)-1
- 69

99th
- 2x-1
- 2(99)-1
- 197

Now back to number one since instead of drawing the next two patterns, he said to find out the number of repairs for 7 and 8 years over 10.

7th
- 2x-1
- 2(7)-1
- 13

8th
- 2x-1
- 2(8)-1
- 15

And were done the car repairs! Onto Harbecks Training.





















Then we had to make a chart, and a ratio table out of it..


























3. Describe the pattern found in each row.
As you can see, x starts at one and increases by one each time, and y starts at 3, then adds 5, 7, 9 and adding so on by odd numbers.

4. Describe the relationship between the two columns.
If you have the number of weeks, to get the number of km's ran in total, you would have to multiply the number of weeks by itself, and subtract one to get the number of km's ran in total.

c. Write an algebraic equation to show this relationship.
y=x squared - 1 x=number of weeks

5. Predict what the 20th, 35th, and 99th diagram will look like.

20th
- xsquared-1
- 20squared-1
- 399

35th
- xsquared-1
- 35squared-1
- 1225

99th
- xsquared-1
- 99squared-1
- 9801

Then back to number one to find out what the 7th and 8th diagram will look like.

7th
- xsquared-1
- 7squared-1
- 48

8th
- xsquared-1
- 8squared-1
- 63

and your done!