Number Grid For this task I will first be looking at a number grid from 1 to 100, like the one below : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 I will start my investigation by looking at 2 by 2 squares. I will draw a square around 4 numbers, find the product of the bottom left and top right numbers and the product of the top left and bottom right numbers, then calculate the difference between the 2 products. I will see if there are any patterns and if so I will try to work it out algebraically. I will then look at changing the size of the squares to see if there are any patterns. I will try looking at 3 by 3 squares, 4 by 4 squares and 5 by 5 squares; I will do the same with these squares as I have with the 2 by 2 squares, I will find the products of the top left and bottom right and the bottom left and top right numbers then calcula... ... middle of paper ... ... Product Difference Right Left Yellow Rectangle : 1 44 44 41 4 164 120 Green Rectangle : 16 59 944 56 19 1064 120 Purple Rectangle : 52 95 4940 92 55 5060 120 I have noticed that the difference of the products in each square is always one hundred twenty. I have worked out the formula for this pattern below: N N+3 N+40 N+43 N(N+43) - (N+3)(N+40) = D N2 + 43N - N2 - 40N - 3N - 120 = D -120 = D Difference = 120 This shows that the difference between the two products in each rectangle is always -120; I have shown the difference as 120 rather than -120 as I am only interested in the number and not the sign in front of it (+/-).
6x6x6 cube and see if I can find a pattern. When I have found a
Problem Statment:You have to figure out how many total various sized squares are in an 8 by 8 checkerboard. You also have to see if there is a pattern to help find the number of different sized squares in any size checkerboard.Process: You have to figure out how many total different sized squares you can make with a 8x8 checkerboard. I say that there would be 204 possible different size squares in an 8x8 checkerboard. I got that as my answer because if you mutiply the number of small checker boards inside the 8x8 and add them together, you get 204. You would do this math because if you find all of the possible outcomes in the 8x8, you would have to find the outcome for a 7x7, 6x6, 5x5, 3x3, and 2x2 and add the products of
The last activity that we did was taking ten Q tips and made three attached squares and her assignment was to make a 4th enclosed box without adding an additional items. Once I told her to start she immediately started moving the Q tips around trying to create another box. After trying for a few minutes she then say there is no way to add another box.
0.96, 0.96, 0.97, 0.98, 1.01, 1.01, 1.02, 1.03, 1.03, 1.03, 1.03, 1.04, 1.04, 1.04, 1.04, 1.05, 1.05, 1.06, 1.07, 1.07, 1.08, 1.09, 1.09, 1.09, 1.09, 1.09, 1.09, 1.10, 1.10, 1.10, 1.10, 1.11, 1.11, 1.11, 1.11, 1.12, 1.16, 1.17, 1.17, 1.18, 1.18, 1.20, 1.21, 1.21, 1.21, 1.23, 1.26, 1.29, 1.31, 1.32, 1.66
1) Sort the pictures into living and nonliving categories by using their definitions that they created.
sides on a cube and this gave rise to idea for a project. The final result
I can do this by setting up the diagram above. You need to get a
cube, I noticed that all of them had three faces. I then went onto a
every number. Then move your ruler down to the bottom. No, put it across the bottom. Now
asked to divide the same square into two parts half the original size. By asking the boy a
Noticing little problems like these could save you a lot of money and aggravation. They are simple problems and with a little knowledge they can be taken care of quickly and easily.
on the entire left side of the triangle (column 3) to represent n things going into groups of 0. There is only one way to do this, so every cell with a blank box can be said to have one item in it. I am using a box because it does not have a specific “value” but it is more of a holding place for new elements. In cell (B, 4), I placed an “a” because this represe...
I am going to begin by investigating a square with a side length of 10
have noticed it before. That was all, now all I had to do was find the
One only requires the use of simple mathematics i.e. simple addition and subtraction of single and double digit numbers ...