8/6/24 – End Behaviors

Summary: Today we reviewed End Behaviors of graphs. These are the two “arms” of the graph.

In this graph example, the left arm goes up and the right arm goes down. We would write this as…

x→-∞ y→∞
x→∞ y→-∞

which translates to…

x→-∞ y→∞ (LEFT arm UP)
x→∞ y→-∞ (RIGHT arm DOWN)

We can use chart below to to describe the four directions; LEFT, RIGHT, DOWN, UP.

 

At the end of class we took a short quiz on End Behaviors (TQ02). Example Task (Graph Family Images Sheet).

Homework: none

8/5/24 – Graph Families

Summary: Today we found patterns in counting the number of squares in a square grid.  We used these patterns to count the number of squares on a chessboard. We even looked at counting the square on a  100×100 grid.

Then we turn our attention to a set of graphs and grouped them into different families based on their characteristics (CA02).

Homework: None

8/2/24 – Rules, Procedures, and More

Summary: Today we started by reviewing the rules and procedures of the classroom some of which you can find on the expectancy sheet here (COMING SOON). We then took a short quiz about the procedures (TQ01). We also talked about the option of buying your own calculator.

At the end of the class we started working on our first in-class assignment. The assignment is called “How Many Squares?” and involves counting the number of square on a grid (CA01).

Homework: OPTIONAL -> If you want to work more on you 4×4 and 5×5 grids you can. We will discuss the solutions on Monday.

8/1/24 – First Day of School

Summary: Today we started by introducing ourselves. We discussed the question “What is mathematics?” and debated the question of whether mathematics was discovered or invented. You can watch the video below which talks about this ongoing debate…

At the end of class we talked about the required materials that you will need (paper, notebook, pencil, eraser). We also talked about optional materials like a calculator. Check out this calculator page to learn more about the best and cheapest calculators.

It was wonderful to meet you today. I’m looking forward to having a great year together. See you tomorrow.
-Mx. Epstein

Homework: Gather your required materials for class (paper, notebook, pencil, eraser).