8/14/24 – Chromebook Practice

Summary: Today we practiced what we’ve learned so far on our chromebooks. (CA04)

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Enter today’s activity below…

Homework: Coming soon…

8/9/24 – Introduction to Graph Characteristics

Summary: Today we examined four characteristics of graphs. Specifically the intervals where the graph is…

  • Increasing
  • Decreasing
  • Positive
  • Negative

In the graph below the red interval -1<x<2 represents where the graph is decreasing (down-hill). The green intervals -∞<x<-1 and 2<x<∞ represent where the graph is increasing (uphill).In the graph below the yellow intervals -2<x<0 and 3.2<x<∞ represent where the graph is positive (above ground). The purple intervals -∞<x<-2 and 0<x<3.2 represent where the graph is negative (below ground).
The examples above are all shown using inequality notation.

Homework: None  HW01

8/8/24 – More Intervals

Summary: Today we continued to practice writing intervals using the five notations that we learned about yesterday. At the end of class we took a short quiz (TQ03)

Homework: none

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