Hexagons on the wall
What’s the pattern?
We are looking at the patterns involving the sum of the interior angles of a polygon. We made a variety of polygons and measured the angles inside them.


We collected data in tables of values, and saw how that can be plotted using desmos.com (also there’s a free app)
We saw how the first differences of the table data is the same, and how that relates to the linear graph we saw.
There are two ways that we can calculate the sum of the interior angles. We can multiply the number of sides by 180 then subtract 360. We could also subtract two from the number of sides first, then multiply the result by 180.
Literacy practice
Homework grade 10
Working hard
On a Friday before a long weeknd, last class of the day, when there’s a quiz, life seems better when the Jay’s game is on in the background.
We split up into teams to solve the homework task (determining the height of a triangle when you know he 3 corner points only)


There was some pretty intense teamwork happening, and some productive struggle as we needed to use all our tools of slope, perpendicularity, equations, graphing, substitution/elimination, distance formula etc. We will revisit the concept after the long weekend.
Hegagons!
Working towards Pythagorean theorem
We took our knowledge of square side length and area and converted it into a tool for working with right angle triangles.

We used our set of squares (1×1 to 26×26) and talked about how to calculate the area (insides). We talked about side x side and also side “to the power of two” or side squared.
We worked backwards too, determining the side length for a given area, which led to the concept of square root being introduced/revisited.
Next we used the squares to show patterns or pictures.
Heres a star
And this one, we decided that it is not a square since the side lengths are different.
We next used the squares to outline triangles, attempting to find the perfect right angle triangle.
We watched this video to help reinforce ideas of the pythagorean theorem.
Circles
Today we explored circles. After reading “Sir Cumference and the first round table” and discussing the characters of Sir Cumference, Lady Di of Ameter, and their son Radius, we measured the radius and diameter of several circles. We put the data into a table of values, and then did our first scatter plot of diameter vs radius. We noticed that the points all lined up, showing a linear relationship.
The next investigation we did involved licorice laces. We measured the length, and then made tte licorice into a circle and measured the diameter.
We ate some licorice and repeated the process 5 times.
We put our data in a table
Then graphed it and noticed another linear trend.


















