Today we learn about more about algebra we started to finish the Toothpick math thing that we did yesterday we had to draw two more patterns from the drawing below
We had to find what is the next two pattern were
We had to a make a chart for the pattern and find the relationship was
We also had to do a t-chart for this relation ships between the figure and Toothpicks
Decibe the patterns found in each row ?
The Pattern in the first row goes by ones and they are consecutive numbers while the second row goes by twos and they are odd numbers.
Describe why the pattern increase the way they do ?
For X you are adding new figures each time. For Y you are starting with three toothpicks thats why the number is always odd.
Descibe the relationship between the two columns?
the relationship between the two columns is add two then three, then four and so on
Write a algebraic equation to show this relationship?
two time the 4 figure plus 1 = 2n+1
5. Predict what the 20th, 35th, and 99th figure would be?
20th - 2 (20)+1 = 40+1 = 41
35th - 2 (35) +1 = 70+1 = 71
99th - 1(99) +1= 198 +1 = 199
6. Predict which diagram will use 30, 50 and 125 blocks.
30 blocks- 20th 2n+ 1 = 31 , 2(15) + 1 = 31
50 blocks- 35th 2n +1 = 51, 2(51) + 1 = 103
125 blocks - 99th 2n + 1 = 261