Pre-Calculus Students

We hope you find these videos helpful in your preparation for the Make Up Test

## Sunday, October 27, 2013

## Wednesday, October 23, 2013

### Twin Day during Spirit Week 2013 at Bedford HS

Twin hard or go home @PMM888 #bucpride pic.twitter.com/VtFbxpVmYC

— Joe Neveux (@j_nevs) October 23, 2013

## Tuesday, October 15, 2013

## Monday, October 14, 2013

## Tuesday, October 1, 2013

### Unit Circle

October 1, 2013
Today we will fill out the entire unit circle. Here is the answer key.

http://www.embeddedmath.com/downloads/files/unitcircle/unitcircle-letter.pdf

http://www.embeddedmath.com/downloads/files/unitcircle/unitcircle-letter.pdf

## Thursday, September 26, 2013

## Monday, September 23, 2013

### Bedford Day 2013

Thanks to Ms. Dresser for taking this photo at Bedford Day. @pmm888 in the dunk tank! @BedfordMAPatch pic.twitter.com/osEkY6HLd2

— Patrick Morrissey (@PMM888) September 23, 2013

## Thursday, September 19, 2013

### Back to School Night

**Back to School, 2013**

Welcome Parents,

Algebra II (3), Algebra II (4) and Trig/Stats (4)

**About me:**

This is my 5th year in Bedford. I taught in Lawrence, MA for two years before BHS. I taught English in China for 3 years.

我的中文名字是毛博中.

Contact Information: Patrick_Morrissey@bedford.k12.ma.us, or call (781) 275-1700 Extension 8018. Twitter: @pmm888

Class Blog: www.pmm888.blogspot.com

**Important Topics:**

**Missed work:**All on Dropbox (Moodle for Trig/Stats). Google Calendar has my agendas and homework assignments. You can have access to my calendars! See post on August 30, 2013 on my blog.

**ASPEN:**Grades and attendance posted on a regular basis. Public immediately. ABS=Absent, EX=Excused, NTI=Not Turned in.

- Calculator: Recommend; at least scientific calculator. More info at the BHS Math Web Site.

- Textbook: May leave at home. I will provide an outline of where we are in the textbook. Each unit has defined Objectives shared with students.

- As a department we have worked to align out units to the Common Core in Algebra II, and we are working toward a digital curriculum.

**Extra Help:**X block, Tuesdays after school, mornings from 7:20 a.m. Ask for advanced notice. Email is fine.

- Stress Relief: http://pmm888.blogspot.com/2012/11/deep-breaths.html

What is on your mind?

## Friday, August 30, 2013

### Mr. Morrissey’s Calendar for 2013-2014

**Links to Mr. Morrissey’s Calendar for 2013-2014**

Dear Parents and Students,

Please find the link below for our class and follow these
directions to add to your iPad.

- Copy the link below by touching and holding the link on the iPad.
- Go to Settings>>Mail, Contacts, Calendars.
- Click on Add Account.
- Chose Other
- Under calendars chose “Add Subscribed Calendar.”
- Paste in the link
- Press next.
- Press Save.
- Go to Calendar app and verify our class is in the Subscribed section.

Please let me know how I can make this system better. The smallest suggestions make the biggest
difference. J

Mr. Morrissey

**A: Algebra II (4)**http://www.google.com/calendar/ical/patrick_morrissey%40bedford.k12.ma.us/public/basic.ics

**B: Trig/Stats**

**CD: Algebra II (4)**

**D: Algebra II (4)**

**E: Algebra II (3)**

**Bedford High School Google Calendar:**

## Sunday, May 19, 2013

### Algebra II (4) Unit Objectives

May 19, 2013

Dear Parents,

MCAS has come and gone and there are 12 class meetings left until finals begin. For your son or daughter we have an assessment on Friday this week on Radical Functions.

Late this year we began using giant posters in our rooms of each unit's objectives.

Please check out Our Objectives Poster. It's been a great addition to class as I can reference it with the students during class. It really focuses our work together.

All the best,

Patrick Morrissey

### Alegbra II (5) Assessment Reflection

May 19, 2012

We our Logs test with our two class average at 92% with a median of 97%. This unit we did not have any videos.

Please see the link below for student work that I plan to review with students in class.

https://dl.dropboxusercontent.com/u/56107025/Blog%20Posts/2013.Logs.Test.Student.Work.pdf

We are not in the Sequences and Series Unit with 12 classes left before final exams. The school year has come and gone so quickly.

I hope your son or daughter has enjoyed our time together.

My Best,

Patrick Morrissey

We our Logs test with our two class average at 92% with a median of 97%. This unit we did not have any videos.

Please see the link below for student work that I plan to review with students in class.

https://dl.dropboxusercontent.com/u/56107025/Blog%20Posts/2013.Logs.Test.Student.Work.pdf

We are not in the Sequences and Series Unit with 12 classes left before final exams. The school year has come and gone so quickly.

I hope your son or daughter has enjoyed our time together.

My Best,

Patrick Morrissey

## Sunday, April 28, 2013

### Algebra II Videos and MCAS

**April 28, 2013**

Dear Parents,

Two topics condensed into one email.

- The MCAS Math for 10th grade is two weeks away on May 13/14 (Mon/Tuesday). In class we've taken a practice test, and completed a unit on Probability and Statistics. In the next two weeks we'll review the results together. Please encourage your son or daughter to come X block for extra MCAS practice.
- For Level 5 we are finishing our unit on Logs/Exponentials and we have not had any videos. After our test I plan to solicit feedback from students via my Google Form on how this unit compares to past units with videos. Students are adaptable for sure, but what is the optimal learning experience? In Level 4 we are finishing Rational Functions and there are videos, but I am teaching the material in class and deemphasizing the videos. I will also solicit feedback about this experience. I am constantly trying to improve from feedback.

Level 4 Rational Functions Test on Tuesday (30th)

Level 5 Logs Test on Monday May 6.

The end of the year will soon be upon us.

My best,

Patrick Morrissey

patrick_morrissey@bedford.k12.ma.us

p.s. I plan to make a Google Form to solicit feedback from you too!

## Friday, April 19, 2013

### Sequences and Series....

As we begin the Sequence and Series Unit, work on this problem whenever you find you are "done."
Mr. Morrissey
p.s. Think problem came to me from a fellow educator on Twitter!

@emptyset001 The sum, difference, product and quotient of two numbers are the 1st 4 terms of an arithmetic sequence.What is 5th term?

— Patrick Morrissey (@PMM888) April 19, 2013

## Tuesday, April 2, 2013

### Algebra II (4) Update

April 2, 2013

Dear Parents,

Tomorrow your son/daughter has a quiz on graphing rational functions. We've spent 3 classes practicing this material including two practice quizzes. I am hopeful for this quiz and ending the quarter on a positive note. There was a real engaged and communal spirit in both classes today.

I'd like to tell you of a new feature of class that I believe will really help us. I have a giant sized poster of this unit's objectives that I made collaboratively with the other 2 Algebra II (4) teachers that summarizes the four key objectives the students will be able to show mastery of. It serves as a great reference point for me during classes.

As always, reach out to me if you have a concern about your child.

All the best,

Patrick Morrissey

Dear Parents,

Tomorrow your son/daughter has a quiz on graphing rational functions. We've spent 3 classes practicing this material including two practice quizzes. I am hopeful for this quiz and ending the quarter on a positive note. There was a real engaged and communal spirit in both classes today.

I'd like to tell you of a new feature of class that I believe will really help us. I have a giant sized poster of this unit's objectives that I made collaboratively with the other 2 Algebra II (4) teachers that summarizes the four key objectives the students will be able to show mastery of. It serves as a great reference point for me during classes.

As always, reach out to me if you have a concern about your child.

All the best,

Patrick Morrissey

### Algebra II (5) update...

Parents,

On Wednesday (tomorrow) we'll have a quiz on Exponentials Functions, and the following Wednesday we'll have a quiz on logs and log properties. I want to spend adequate time on this new unit and I did not want the coming vacation to rush us. For your information the 3rd quarter ends tomorrow.

I am trying this unit to teach without videos and at the end of the unit I will use my feeback form to get the students input on what they liked and did not like. I am looking forward to it.

All the best,

Patrick

## Thursday, March 28, 2013

### Algebra II Assessment Reflection

March 18, 2013

Algebra II (5) Parents,

We've had our Radicals/Rationals test and the results are really great. The median is a 94 and the average was a 91. This is for 27 students. That being said, if you look at the "raw" column of my data spreadsheet large groups of students in Level 5 still making mistakes that are costing them points. The green column is the data with partial credit. I emphasize with students how much of their work is correct, but there is still room for improvement. In the sign errors and algebra where tiny mistakes are made. Continuous improvement and the pursuit of excellence!

Nevertheless, I am really happy with these results.

Patrick Morrissey

p.s. This report is being released on March 28 because I had students who had not finished the test. The MCAS period delayed this.

Below, this student has the habit of mind to check her work!.

Below, great work making sure to factor the numerator to look for a possible "hole."

Below, this expression needs a small simplification. Do you see it?

Algebra II (5) Parents,

We've had our Radicals/Rationals test and the results are really great. The median is a 94 and the average was a 91. This is for 27 students. That being said, if you look at the "raw" column of my data spreadsheet large groups of students in Level 5 still making mistakes that are costing them points. The green column is the data with partial credit. I emphasize with students how much of their work is correct, but there is still room for improvement. In the sign errors and algebra where tiny mistakes are made. Continuous improvement and the pursuit of excellence!

Nevertheless, I am really happy with these results.

Patrick Morrissey

p.s. This report is being released on March 28 because I had students who had not finished the test. The MCAS period delayed this.

Here is some great work. Three different methods to solve the same problem...AC Method, Long Division, and Synthetic Division. A fourth method is to factor.

Below, Nice work remembering to check for "extraneous" solutions.

Below, this student has the habit of mind to check her work!.

Below, great work making sure to factor the numerator to look for a possible "hole."

Below, this student tried to factor a non-quadratic.

Below, this expression needs a small simplification. Do you see it?

PMM

## Thursday, March 7, 2013

### All Algebra II students

Dear Parents,

With the English MCAS soon upon us I want you to know in Algebra II Levels 4 and 5 we will do at least one entire practice test and also a mini unit on Probability and Statistics to prepare for MCAS math. I have found that reviewing Geometry is useful to students as they haven't done it for some time.

If our in-class review is not sufficient there will also be MCAS Academics outside of class time for extra practice. I will provide the schedule to the students and to you when it is confirmed.

In all of my Algebra II classes there will be a test on Friday (3/15) (Thursday for B Block), and then the MCAS begin the following week. Homework during MCAS week will be less.

Please do not hesitate to write or call about your MCAS questions or concerns.

All the best,

Patrick Morrissey

p.s. Ask your son our daughter to explain the problem below. Last year 53% of BHS students answered this question correctly. It has to do with the point-slope form of a line.

The answer is B.

With the English MCAS soon upon us I want you to know in Algebra II Levels 4 and 5 we will do at least one entire practice test and also a mini unit on Probability and Statistics to prepare for MCAS math. I have found that reviewing Geometry is useful to students as they haven't done it for some time.

If our in-class review is not sufficient there will also be MCAS Academics outside of class time for extra practice. I will provide the schedule to the students and to you when it is confirmed.

In all of my Algebra II classes there will be a test on Friday (3/15) (Thursday for B Block), and then the MCAS begin the following week. Homework during MCAS week will be less.

Please do not hesitate to write or call about your MCAS questions or concerns.

All the best,

Patrick Morrissey

p.s. Ask your son our daughter to explain the problem below. Last year 53% of BHS students answered this question correctly. It has to do with the point-slope form of a line.

The answer is B.

## Saturday, February 23, 2013

Algebra II (4) Quiz Student work.

Here is some student work from our most recent quiz. The average was a 90% in both of our classes. Ask your son or daughter to explain to you the mistakes when applicable.

My Best,

Patrick Morrissey

2 to the negative 1 can never be negative. The answer is one half.

Below, the student did not take the reciprocal of (1/2). Answer is 8.

Below is an example of great work. This student converted the bases all to 5 and then used the exponent rules we learned. Nice work!

Below, this student needed to expand/FOIL. Do you see why the answer is 75?

This student seemed to ignore the base of 10. The answer is 100. Explain to me why.

Below, this student forgot the difference of squares. That will be important to know. Looks like I didn't take off points :).

The new Common Core State Standards talks about showing student multiple ways to solve problems and solving them side by side. This is a great example of direct and synthetic substitution, :)

Take a careful look below, can you spot at least two mistakes?

### Algebra II (5) Assessment Reflection

2/23/13

Hello Parents,

I hope vacation is going well for you and you children.

A few quick notes for Algebra II (5).

Hello Parents,

I hope vacation is going well for you and you children.

A few quick notes for Algebra II (5).

- We had our first quiz since the midterms on Fractional Exponents, Composition and Inverses. The average was a solid A and it was the best performance by all students in Algebra II 5 to date.
- Students spent time before vacation making videos on Educreations on the entire unit on functions. Ask your son or daughter to share with you the video(s) they made. It was a really great to watch them in action.
- MCAS is not for a few months, but I want to let you all know that I will be doing some targeted MCAS practice in class, including at least an entire practice test and a mini unit on Probability and Statistics. The former has made for quite a successful MCAS track record in the past for students in Level 5, and the latter is a topic that students need the most practice in.
- After vacation we'll be doing a short unit on Rational Functions and we'll have a test on Rational Functions and Functions together. The students already know this and the videos they made will be a good review for them.
- I had a parent recently tell me that they did not think their student had a textbook in our class. To be sure, our notes/curriculum follow the school's textbook, but I have made my own version of the notes over the past four years teaching this class. The impression that we aren't using the textbook is a reasonable one since I have made worksheets and problem sets for most of our work together. Students have access to an online version of the textbook as well. Our topics remaining are:
- Functions (Ch. 6)
- Rational Functions (Ch. 8)
- Logs and Exponentials (Ch. 7)
- Sequences and Series (Ch. 12)
- Conic Sections (Ch. 9)

My Best,

Patrick Morrissey

## Tuesday, February 5, 2013

### AMC10/12 Math Jam

Greetings,

Tomorrow night, Wednesday, February 6, we will host a free Math Jam to discuss problems from the 2013 AMC 10 A and 2013 AMC 12 A competitions. The Math Jam will begin at 7:30 PM ET (4:30 PM PT), and last 1.5-2 hours. We hope to see you there!

You can learn more about all of the Math Jams at Art of Problem Solving by going here:

http://www.artofproblemsolving.com/School/mathjams.php

If you have any questions about this or any other Math Jam you can email us atclasses@artofproblemsolving.com .

The AMC Math Jam is FREE. To join the Math Jam, please log on towww.artofproblemsolving.com using your Art of Problem Solving username about 10 minutes before the Math Jam begins, and then click on the Classroom bar that appears near the top of the site.

Sincerely,

Richard Rusczyk

Tomorrow night, Wednesday, February 6, we will host a free Math Jam to discuss problems from the 2013 AMC 10 A and 2013 AMC 12 A competitions. The Math Jam will begin at 7:30 PM ET (4:30 PM PT), and last 1.5-2 hours. We hope to see you there!

You can learn more about all of the Math Jams at Art of Problem Solving by going here:

http://www.

If you have any questions about this or any other Math Jam you can email us atclasses@artofproblemsolving.

The AMC Math Jam is FREE. To join the Math Jam, please log on towww.artofproblemsolving.com using your Art of Problem Solving username about 10 minutes before the Math Jam begins, and then click on the Classroom bar that appears near the top of the site.

Sincerely,

Richard Rusczyk

### Alcumus Algebra Resource

Dear Parents,

I've been using Art of Problem Solving's problem generator in class lately. Could you help me to ask your child if they have made an account? If not, encourage them to do so.

Alcumus link here

Below is a sample problem in the category "Square Roots." Ask your child how to do. It's 16.

This is a really wonderful resource with questions sorted by topic and answer keys and written out solutions. You can also go back to past problems in the "report" tab.

My Best,

Patrick Morrissey

I've been using Art of Problem Solving's problem generator in class lately. Could you help me to ask your child if they have made an account? If not, encourage them to do so.

Alcumus link here

Below is a sample problem in the category "Square Roots." Ask your child how to do. It's 16.

This is a really wonderful resource with questions sorted by topic and answer keys and written out solutions. You can also go back to past problems in the "report" tab.

My Best,

Patrick Morrissey

## Sunday, February 3, 2013

### Do the Math!

Do the Math! Fabulous overview of state of math education#edchat,hvrd.me/WOtZWJ #mathchat, Do your students understand PEMDAS?

— Patrick Morrissey (@PMM888) February 3, 2013

## Saturday, January 26, 2013

### Midterm Reflection Algebra II (4)

The midterm in Algebra II (4) had an average of 80% with a median of 84% for 42 students. The midterm is worth 10% of a student's final grade in Algebra II.

We will start our unit on Polynomials next. There will be at least one quiz and one test, and I hope for two quizzes if possible.

My best,

Patrick Morrissey

#3 graph

## Thursday, January 24, 2013

### Inequality Issue

Inequality minor, but important detail. #mathchat. Midterm exam. twitter.com/PMM888/status/…

— Patrick Morrissey (@PMM888) January 24, 2013

## Wednesday, January 23, 2013

### Infrequent Error with Fractions

Students. Tweet out the correct answer from this photos. First correct answer gets a special prize. twitter.com/PMM888/status/…

— Patrick Morrissey (@PMM888) January 24, 2013

## Sunday, January 20, 2013

### Equation of Perpendicular Line Question

January 20, 2013
Algebra II students,
I was asked by a fellow student about Problem Set Equations of Lines #2 Problem #11. Here is a worked out solution.
My Best,
Mr. Morrissey

## Saturday, January 19, 2013

## Monday, January 14, 2013

### Algebra II (4) Review for Midterm

January 14, 2013

Level 4 Assessments:

Fundamental Operations Quiz

Linear Equations Test

Systems Test

4.1-4.2 Quadratics Quiz

Completing the Square Quiz

Complex Numbers Quiz

Quadratics Test

Mr. Morrissey

#6-10

#11-15

#16-23

**Algebra II 4/5 Midterm**

**Topics:**

Ch. 1-2:
Absolute value, inequalities, and

**most importantly**equations of lines
Ch. 3: System of Equations

Ch. 4 Quadratics

Ch. 5 Polynomials (Level 5 only)

Ch. 5 Polynomials (Level 5 only)

**Advice:**Review all old assessments and look at my assessment reflections on my blog. Answer keys of assessments on Moodle. The problems in this document will be tough, but should be doable.

**Format:**

Part 1: Multiple Choice 25ish questions on core material for
all levels.

Part 2: Level 4 or 5 Multiple Choice Problems

Part 3: Open
Response Problems

Level 4 Assessments:

Fundamental Operations Quiz

Linear Equations Test

Systems Test

4.1-4.2 Quadratics Quiz

Completing the Square Quiz

Complex Numbers Quiz

Quadratics Test

#1-5

#6-10

#11-15

#16-23

## Friday, January 11, 2013

## Tuesday, January 8, 2013

## Monday, January 7, 2013

### AMC10/12

From Mr. McGowan...

- Attention Math students. The 2013 AMC-10 and AMC 12 Exams will be given on Tuesday February 5
^{th}(Day 3). 4000 schools around the world administered this exam last year. Many Colleges and Universities ask for your AMC score on their applications. If you do not sign up now, there will not be an exam for you on February 5^{th}. Please put your name and email address on the sign up sheet in C108, or email Mr. McGowan.

http://www.artofproblemsolving.com/Wiki/index.php/AMC_Problems_and_Solutions is a resource for sample problems.

### Algebra II (5) Students...

Look in the tab called "Educreation Videos" for today's homework video called "Graphing Polynomials.

Mr. Morrissey

Mr. Morrissey

## Saturday, January 5, 2013

### The Little Things....

RT to followers and reply with answer.#mathchat @nctm twitter.com/PMM888/status/…

— Patrick Morrissey (@PMM888) January 5, 2013

## Thursday, January 3, 2013

### Khan Academy Algebra

This is really a fabulous resource. Check out Sal Khan's Algebra page.

**Example 1: Completing the square**: U10_L1_T2_we1 Completing the Square 1## Wednesday, January 2, 2013

## Tuesday, January 1, 2013

### Algebra II (4) Assessment Reflection #6

January 1, 2013

Quadratics Quiz up to Writing Equations of Quadratics.

The average was 74% for my two classes. This was the toughest quiz to date. The quiz came immediately before vacation and was the first time students had to use the Quadratic formula. In class we are going to look closely at student work on this post.

All comments are for the picture immediately below.

This graph is going the wrong way...

This is a nice job especially since the graph is upside down.

Below, where is the origin?

When writing an equation of a quadratic we must know which equation (vertex or intercept form) is most appropriate to start with. Here, the student used vertex form incorrectly. This problem gives you the x intercepts so intercept form is the best first step.

Below, same mistake. This equation could never be right since there is no "x" value.

Now lets look at some problems that involve simplifying the Quadratic Formula. Here the student made a common mistake of not making the part under the radical a negative 108. Also, the square root of 108 can be simplified.

Below is the assessment data. Raw % and % Correct when partial credit is factored in. Quadratics is a major part of our midterm exam and we'll be spending time before midterms reinforcing this unit [and the topics that came before like equations of lines and systems].

Quadratics Quiz up to Writing Equations of Quadratics.

The average was 74% for my two classes. This was the toughest quiz to date. The quiz came immediately before vacation and was the first time students had to use the Quadratic formula. In class we are going to look closely at student work on this post.

All comments are for the picture immediately below.

This graph is going the wrong way...

This is a nice job especially since the graph is upside down.

Below, where is the origin?

When writing an equation of a quadratic we must know which equation (vertex or intercept form) is most appropriate to start with. Here, the student used vertex form incorrectly. This problem gives you the x intercepts so intercept form is the best first step.

Below, same mistake. This equation could never be right since there is no "x" value.

Now lets look at some problems that involve simplifying the Quadratic Formula. Here the student made a common mistake of not making the part under the radical a negative 108. Also, the square root of 108 can be simplified.

Next this student used "r" in the quadratic formula, when all of the coefficients were already known. The work should have been only numbers.

Below, the 6 in the denominator was divided evenly into the part under the radical.

Below, can you spot the small simplifying mistake?

Below, the same type of error was made like the problem above.

Finally some small errors to be mindful of...

Below is the assessment data. Raw % and % Correct when partial credit is factored in. Quadratics is a major part of our midterm exam and we'll be spending time before midterms reinforcing this unit [and the topics that came before like equations of lines and systems].

My Best,

Patrick Morrissey

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