816 Math Blog (2012): linear relations

Representing Patterns

This is the pattern for this question.

1. What are the three patterns you see in the design?

The three patterns that I see in the picture are triangle, square, triangle.

2. How many squares and triangles are in this design?
There are 10 squares and 20 triangles which is 30 shapes in total.

3. The design can be lengthened or shortened. Each section of the design must have only complete squares and triangles. If this design has ten sections, what does one section of the design look like?

The number of sections sorted out.

Vertical Section: section plus one is vertical sections

Horizontal Section: section times two is horizontal sections

Diagonal Section: section times four is diagonal sections

Mathlinks Textbook 8: Page 339, 10-12 Questions

A) No, it is not reasonable. It does not make sense if you purchase 4 cakes as $93 - 94 if 1 cake cost $31. If you purchase one cake with flowers and buy 3 more, it should be the same price.

B) There should only be one because, if 1 is 31 and 3 is 93-94, the number between the 2 numbers is 2 so, there should only be one.

A) The co-ordinates for point W is 40, 2.

B) It shows the 2% of the Annual Interest.

C) The pattern shown in the graph is basically dividing x with y. So the pattern is dividing 20 from a number in the x axis.

A) (See chart below)

B) The pattern shown in the chart above is multiplying x with y. The x axis is being multiplied by 4 which gives that skip counting with 4 effect.

C) It's probably possible because points can be between points that have been put in the chart. For example, if you put an extra point in 1, 4....you basically put that point in 1, 3.

D) It's possible. The linear relations in the chart is that the side and perimeter of a square or something else is equal. But as you can see, 28 and 31 has been put after 5, but, you can still keep going on a grid paper until you get to 31, 124.