Number Grids Investigation
Introduction
In the following piece of coursework, I intend to investigate taking a
square of numbers from a 10 x 10 grid, multiplying the opposite
corners and then finding the difference between the two products.
I was first asked to take a 2 x 2 square from a 10 x 10 grid, multiply
the opposite corners and then find the difference. This is the result
I received;
2x2 squares
15
16
25
26
Square 1
15 x 26 = 390
16 x 25 = 400
Difference = 400 – 390 = 10
Here I found that the difference was 10, to find out if the difference
was the same for every 2 x 2 square, I decided to test another 3
squares, and here are the results I received;
Square 2
18
19
28
29
18 x 29 = 522
19 x 28 = 532
Difference = 532 – 522 = 10
Square 3
32
33
42
43
32 x 43 = 1376
33 x 42 = 1386
Difference = 1386 – 1376 = 10
35
36
45
46
Square 4
35 x 46 = 1610
36 x 45 = 1620
Difference = 1620 – 1610 = 10
After calculating the differences between the products of four 2 x 2
square grids, I can conclude that the difference is always 10, and I
predict that the difference will always remain 10 for 2 x 2 square
grids. I then decided to look at a 3 x 3 square on a 10 x 10 grid, to
see if the difference would be 10, or anything different, and here is
the result;
32
33
34
42
43
44
52
53
54
6x6x6 cube and see if I can find a pattern. When I have found a
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10.A man built a house of rectangular structure, each side having a southern aspect. A bear came wandering by. Which color was it?
0,74 0,87 1,00 0,49 100... ... middle of paper ... ... some groups had got different leakage of the pigment in the test tubes with water.
They will use estimation, the base ten blocks, and area model, and they will record their answers on the scratch paper. Then, students will write a real-world story about a decimal multiplication problem that they have created with the base ten blocks. The story should contain each of the different numbers that are involved with the rectangular construction.
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Text Box: In the square grids I shall call the sides N. I have colour coded which numbers should be multiplied by which. To work out the answer the calculation is: (2 x 3) – (1 x 4) = Answer Then if I simplify this: 6 - 4 = 2 Therefore: Answer = 2
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The ratio for length to width of rectangles is 1.61803398874989484820. The numeric value is called “phi”.
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