For those of you who weren't in class today, you have come to the right place to find out what you've missed (and, may I add, how responsible of you checking the blog!).
Today we discussed triangular numbers (numbers that create a particular pattern of triangles), observing the pattern of change in diagrams, generating a table and predicting additional triangular numbers, developing an equation for triangular numbers and finally graphing our equations.
You can download the classwork and homework by clicking on the links below.
Developing the equation was the most challenging part for most students. To help guide your equation, consider the following questions, in the order asked:
a)If you put 2 copies of the same triangle (with a base of n) together to form a rectangle, what are the dimensions of the rectangle (in terms of n)? (You can look at the models Ozelle and Erika developed in the images below)
b)How many square tiles are in the rectangle? How could you calculate the area, in terms of n?
c)How does the area of the rectangle compare to the area of the original triangle?
d)How can you use the equation for the rectangles area (answered in part b) to develop the equation for a triangle?
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