# Vertical Line Test = Easy 2 Pts!! Jan 16 CC Alg I Regents #26

Do your students know this?  This is an easy 2 points

Word definition of a function: Every x must have just one unique y

Graphical definition of a function:
Does it pass the vertical line test?  If not, it is not a function.
Drawing a vertical line at x = 2, your vertical line will pass through both dots and therefore this is NOT a function.

Easy 2 points!!

# How to Help Students Pass the CC Algebra I Regents

1. content exposure: you have to see it to know it — use real Regents questions
2. mixed practice: students benefit from a variety of topics
3. independent work: can be entry/exit slip or checkpoint
4. Kahoot or other online survey tools like PearDeck, Nearpod and PollEV
5. Khan Academy or other practice software for skillsPlease click this link to see the Power Point from Get the Math and Get the Points
presented at the New York City Math Project conference on May 21 at Lehman College

“You need to see it to know it.”
Regents Review: Get the Math and Get the Points

Students benefit from mixed Regents problems practice to improve their knowledge, confidence and performance on the new, more challenging Common Core Algebra I (and Geo) exams.  We will discuss building compare/contrast skills, increasing TI-83/4 knowhow and increasing persistence.   Come to this session to share teaching/learning strategies to enhance learning and help students graduate high school.

As of May 2016, there are 6 Algebra I Regents exams
http://www.nysedregents.org/algebraone/ and/or
http://www.jmap.org/JMAP_REGENTS_EXAMS.htm

# Learn. Pass. Graduate Jan 2016 Alg I Rgents #26

The 3rd graph (the one on the right) is not a function as a vertical line passes through twice.
The idea of a function vs not a function is mostly important for calculus although the curriculum did not used to focus on this.  One of the reasons that Math has adopted this topic is that a calculator will not help with this type of problem.

So look at Marcel’s graph: if you draw a vertical line at x = 2, it will hit the graph twice and therefore this is not a function.  Do you hear Staples saying “That was easy”?

So Marcel is not correct as this is not a function as it fails the vertical line test!
Hooray you just got 2 more points!!!

# Learn, Pass Regents, Graduate!!! Jan 16 Alg I #25

This is a series to help students pass the Regents and graduate high school while learning some Math in the process
For most students, the Math Regents they will focus on is Common Core Algebra I but we will also discuss Common Core Geometry.

Let’s go!!

The Common Core exams are much harder than the old ones and students will need
1. more practice
2. more content knowledge
3. more content exposure
4. more motivation

Are you ready?  See  below for the first installment: January 2016 long answer #25:

This is an easy problem!!
Students should be able to see that for every increase of 2 in x the y value is going down by 2.5 and therefore the function is linear
Here is a model response from the model response set from http://www.nysedregents.org/algebraone/116/algone12016-mrs.pdf

Another easy way is to draw it (again from the Model Response Set)

This is worth 2 points folks and it’s an easy 2 points so make sure you review.
It is also not exponential because it does not have a pattern like an exponential — here is an example of an exponential pattern of y = 2^x: 1, 2,4, 8, 16  each number in the sequence is double the number before.  The pattern has a constant multiplier, while our list of 10, 7.5, 5, 2.5, 0 has a constant rate of change of -2.5 which means it is a linear function or a line!!