Sunday, December 13, 2015

WEEK OF DECEMBER 7 - 11, 2015

ALL CLASSES

My apologies for not updating the blog this week. However, all assignments are on Pupil Path, with links to Google Docs.

This past week we reviewed solving systems of equations by substitution, elimination, which involved adding, subtracting and multiplying equations so that one variable could be eliminated, and graphing systems of equations.

Make sure you get your assignments turned in. Many are missing.

Sunday, December 6, 2015

"WHY ARE MY GRADES SO LOW?"

If you are wondering why your grades are so low, here's a checklist you should run down:

  • Do you hand in all your assignments?
  • Is the work you hand in fully completed
    • That means Work is shown,
    • every question is answered,
    • and all Explanations are written out.
  • Was the work you did correct, like the problems you did in your notebook?
  • Did you remember to put your name on the paper?

If you still think something is wrong after answering all those introspective questions, we can look at your grades, your portfolio and your notebook to see what might be the problem.

You do have a notebook that is up to date, right?

And you can also come to tutoring on Wednesday and Thursday afternoons, ninth period, and complete any incomplete assignments.

Friday, December 4, 2015

CLASSWORK for Friday, December 4

All Classes

We had an assessment (graded like a quiz) on Transformations of Quadratic Functions.

This will not be posted online. If you missed it, you need to come in and take it.

Period 1/2

After the assessment, we worked on a Transformations task. Those who finished early worked on an extra credit assignment.

These are available on Google Docs or Pupil Path.

Period 4/5

After the assessment, we worked on a Transformations task. Those who finished early worked on an extra credit assignment.

These are available on Google Docs or Pupil Path.

Period 6

After the assessment, we played a game involving Transformations on the SMART Board. If you were out, you missed a good time.

Thursday, December 3, 2015

CLASSWORK for Thursday, December 3

All Classes

In class today, we explored reflections and dilations of quadratic functions. This occurs when the co-efficient in front of the x (or in front of the parentheses), is a number other than 1.

If the a term is positive, the parabola is concave up -- it opens upward and has a minimum point.
If the a term is negative, the parabola is concave down -- it opens downward and has a maximum point.

Additionally, if the coefficient is greater than 1 or less than -1, the parabola will become more narrow.
If the coefficient is between 0 and 1 or between 0 and -1 -- (It cannot be zero!) -- the parabola becomes wider.

We had two worksheets to complete. They can be found here and here on Google Docs, or on Pupil Path.

Exit Ticket

The Exit Ticket needed to be completed in class before you left. All parts needed to be explained.

f(x) = x2
f(x) = a(x – h)2 + k

EXPLAIN how each letter – a, h and k – in the Vertex Form transform the shape and location of a parabola. (What does each letter do?)

Note for Seniors

Many seniors were out of class that day because of a meeting with the principal. You will not be penalized for these assignments, but you are encouraged to make them up.

Wednesday, December 2, 2015

HOMEWORK for Wednesday, December 2

ALL CLASSES

There were two problems to graph. In each you had to graph y = x2 and then graph a translation, defined by a second equation.

The homework is saved here on Google Docs or in Pupil Path.

If you have any questions, ask them here.

CLASSWORK for Wednesday, December 2

All Classes

Today we learned how to Translate Quadratic functions by moving the individual points so that there was no need to create another Table of Values for the second equation. The new graph has the same shape as the original and all the points moved by the same amount that the vertex moved by.

This was the worksheet we did afterward. It is saved on Pupil Path and on Google Docs.

Anyone who finished the worksheet early in class were given an extra-credit worksheet. This is not posted online. You needed to get this in class after finishing your work.

Tuesday, December 1, 2015

CLASSWORK for Tuesday, December 1

All Classes

We had a TASK today that would be graded as an Assessment. The task went as follows: Graph the following functions on the the same coordinate plane: f(x) = x2 f(x) = x2 - 2 f(x) = x2 - 5 A. Use the following values for x to complete the table: -3, -2, -1, 0, 1, 2, 3 B. Write a statement to describe the graphs. How are they different? How are they the same? Part 2: On the back side of the graph paper, graph these two functions on the same coordinate plane f(x) = (x - 1)2 f(x) = (x - 5)2 -- for this function, use these values of x: 2, 3, 4, 5, 6, 7, 8

Classwork Assignment

When that was finished, there was a worksheet summing up what we had learned. Translating Quadratic Functions is in Pupil Path or on Google Docs.

Monday, November 30, 2015

HOMEWORK for Monday, November 30

All Classes

We were graphing quadratic functions in vertex form. You had two graphs for homework. The file can be found in Pupil Path and on Google Docs.

CLASSWORK for Monday, November 30

All Classes

THE THIRD MARKING PERIOD HAS STARTED>

We were graphing quadratic functions in vertex form. You had two graphs to do in class. The file can be found in Pupil Path and on Google Docs.

Period 1/2 and 4/5

In addition to the graphing, we also worked on converted vertex form and factored form into standard form.

We had a worksheet that is at Pupil Path and on Google docs.

Sunday, November 29, 2015

GOOGLE DOCS -- Add your name for extra credit

I want to see if I can put assignments on line using Google Docs. Here is a Sample Document: https://docs.google.com/document/d/1bUGH6gOvzDu8za6ILIrvKBCBFgoxzbOsHH-E_Uvo-Ug/edit?usp=sharing Open it up and add your name so that I know you were there. -- Mr. Burke

The Second Marking Period Has Ended

If you had any make-up assignments, they should have been handed in on Wednesday.

A couple of students asked about scanning and emailing work to me. That should have been done by Friday night.

Monday is the absolute last chance to hand in your project. Any other assignments handed in on Monday will not count toward the second marking period grade.

--Mr. Burke

Wednesday, November 25, 2015

MAKE UP WORK, Tuesday, November 24

Today in class, all students had the opportunity to make up missing assignments. A six-page packet was given out, and each page completed would replace a missing assignment.

Today's Thanksgiving Do Now (Wednesday 11/25)

Happy Thanksgiving!

Enjoy the weekend.

This was the themed "Do Now" this morning.


Comic used by permission of the author.

Tuesday, November 24, 2015

Classwork for Tuesday, November 24

How do we solve quadratic equations by graphing?

All Classes

Today we worked on three problems that will be evaluated as a quiz.

For each problem, you had to

  • Find the axis of symmetry Find the vertex
  • State whether it was a maximum or minimum point
  • Make a table of values, with the vertex in the middle
  • plot the graph.
  • State the roots, if possible.

The three problems were

  1. y = x2 + 2x - 3 = 0
  2. y = -x2 + 4x + 4
  3. y = x2 - 3x - 4

extra credit: y = x2 + 8x + 5

You should know all the formulas needed for this task.

Monday, November 23, 2015

HOMEWORK for Monday, Novermber 23

ALL CLASSES

Correct the mistakes on your test for extra credit. Show ALL WORK, even for the multiple-choice problems and do it on a separate sheet of paper. Do NOT write corrections on the test paper itself.

Corrctions are due by Wednesday.

Classwork for Monday, November 23

Period 1/2 and 4/5

How do we simplify radical expressions when used with the Quadratic Formula?

An extra credit worksheet was given out that was due at the end of the period.

(Some students worked on their projects, which were due today, instead.)

Period 6

How do we find the roots of quadratic expressions by completing the square?

We reviewed the steps to Complete the Square. A worksheet was given out that was due at the end of the period.

Projects are Due Today, Monday, November 23

All classes:

Your Quadratic Functions booklet is due today, Monday, November 23, 2015. It will count as a Special Project, which make up 20% of your grade.

The second marking period ends on Wednesday.

Sunday, November 22, 2015

Welcome the FDNY High School Math Blog

Welcome to the FDNY High School for Fire and Life Safety Math page.

This is Mr. Burke writing this entry, and the blog is mostly for the Algebra classes I teach with Ms. Fleck and Ms. Molien.

I will post homework and assignments here. Students are encouraged to add comments and ask questions. You can even earn extra Participation Credit for contributing to the blog!!

If you have any suggestions for this blog, this is the page to post them.