Category Archives: Common Core Algebra I

Get the Math and the Points: June 2016 CC Algebra I Regents #11

June 2016 Alg I 11
Which comes first in the alphabet, x or y?  d or r?
Domain means the x values and Range means the y values
So we’re gonna graph this and check out the y values:
June 2016 CC Alg I 16 yJune 2016 CC Alg I 11 graphJune 2016 CC Alg I 11 tableLooking at the graph, the lowest y value is less than -1. which can also be seen in the table above.
This gets rid of answers (3) and (4).
Are the y values greater or less than -9?
That’s it,  2 points.

 

 

 

 

 

Get the Math and Points: CC Algebra I June 2016 Regents #16 plus Metacognition

Inspired by this tweet:

Dave Levin KIPP Tweet

Looking at our latest Algebra I Regents, here in NY, here is a great example of the use of a graphing calculator and compare/contrast/use metacognition:June 2016 CC Alg I Regents 16

All 4 answer choices have a 3 but in different and important places!!
First question, does this xy table look like it is for a linear function?
We can look at the equations and see which f(x) = mx + b
We can also use the TI-84 and check the table to see if it matches the table above!
Let’s go to the graphing calculator:
Answer choice (1)  below: this is linear and is clearly not a match especially since the rate of change is always 3 (every time x goes up by 1 y goes up by 3)

Answer choice (2) below is also linear as it has  a constant rate of change…not a match:

Answer choice (3) is shown below and, well, we’re still lookin’:


Answer choice (4)  is below!!

2 points!!
These answers choices can be used to compare/contrast similarities and differences in their parent functions (linear, cubic and exponential).