A textbook reference is in our Blackboard section: Course Materials / Textbooks

The FINAL EXAM will be Wednesday, May 22.

We have available here the review problems for the final exam. Each student is required to select one of these problems that you will present to the class. The sign up list is on a Google Sheets document:

https://docs.google.com/spreadsheets/d/144IyHZ8n0pZB5u8-74fxX8vGOfILNjEXCAG-_vSNBQ8/edit?usp=sharing

The exam will cover the topics of Circles, Parabolas and Lines

Remember that the circle is defined by its CENTER and RADIUS

Remember that the important characteristics of a Parabola are: VERTEX, LINE OF SYMMETRY, X-Intercepts (“Roots”) and Y-Intercept

The Parabola has the two forms

General Form: $latex Ax^{2}+Bx+C=0$

Standard Form $latex A(x-h)^{2}+k=0$

The x-coordinate of the vertex is $latex \frac{-B}{2A}$

To get the y-coordinate of the vertex, put the x-value into $latex Ax^{2}+Bx+C$

and evaluate it.

The circle has the two forms

General Form: $latex Ax^{2}+Ay^{2}+Cx+Dy+C=0$

Standard Form $latex (x-h)^{2}+(y-k)^{2}=r^{2}$

The Center is at the point (h,k) and the radius = r.

Review these for the exam:

WebWork

Graphs-Graphs of Quadratic Equations. (Problems 1-4)

Graphs-Intro to Conics (Problems 1 and 12)

ShiftingParabolas (Understand all of these)

Graphs-Equation of a Line (Problems 4 and 6)

REMEMBER the 6-point process.

Here are practice problems for the exam:

**Zero Product Rule**

Solve $latex (x-2) (3x-7)=0$

**Radical Equations**

Solve $latex \sqrt{7s-3} +2 = 0$

**Quadratic Equations**

$latex \frac{1}{2}x^{2}+4=24$

$latex 2x^{2}+9x-5=0$

**Rational Equations**

$latex \frac{x}{x+6}=\frac{4}{7}$

$latex 1-\frac {5}{y}=-\frac{6}{y^{2}}$

**Roots**

Give a polynomial of degree 4 with roots 2,3,−1 and 0. You can keep it in factored form.

**6-point process**:

Apply the 6-point discussion to any of the above problems.

Here are practice problems for the exam:

**Radical Expressions**

Solve $latex (7+\sqrt3) (7-\sqrt3)$

Evaluate $latex 16^{3/2}$

Simplify $latex \frac{4}{3}ab\sqrt{18a^3}+\frac{1}{2}\sqrt{8a^5b^2}$

**Complex Numbers**

Simplify $latex \sqrt{-36}$

Multiply $latex (7-2i)(4+i)$

Evaluate $latex i^{26}$

**Complex Fractions**

Apply the 6-point process to the complex fraction below. Then actually simplify it according to your “strategy”

Simplify $latex \frac{ \frac{3}{y^{2} }+\frac{1}{y} } {\frac{9}{y^{2}}-1} $

These topics will be covered. Most problems will be taken from the Workbook

Order of operations

6-point analysis

About Polynomials

Linear Expressions

Degree of Polynomials

Add and Multiply Polynomials

Divide Polynomials

Factor Polynomials

Citytech has declared that classes will be online because of the expected weather.

Zoom link is: https://us02web.zoom.us/j/3830146922

If you have difficulty connecting, then send me an email or a text message.

Prof. Victor Sirelson

Each group will have a meeting with the Professor during the next 2 weeks.

Each student should have 1 question prepared to ask.

Group 2: Tuesday, February 6 10:30 am – Room N825

Group 1 & Group 3: Wednesday, February 7 10:00 am – Room N825

Group 4: Wednesday, February 7 10:30 am – Room N825

Group 5: Tuesday, February 13 10:00 am – Room N825

Group 6: Tuesday, February 13 10:30 am – Room N825

Group 7: Wednesday, February 14 10:00 am – Room N825

Groups 8 & 9: Wednesday, February 14 10:30 am – Room N825

Professor’s Daily Notes in Class

For now, these are posted on our Blackboard site in the section “Class Notes”

As we discussed in class today, we are using a 6-point system to approach problems. Do a 6-point analysis for the question

“How can I do well in this class?”

Prepare this tonight (Monday) and in Tuesday’s class discuss this with your group. Prepare a single result and post it in your Group Post.

Please take some time to explore this OpenLab course site. Use the menu to explore the course information, activities, and help. As the course progresses, you will be adding your own work to the Student Work section.

## Join this Course

Login to your OpenLab account and follow these instructions to join this course.

If you’re new to the OpenLab, follow these instructions to create an account and then join the course.

Remember that your username and display name can be pseudonyms, rather than your real name. Your avatar does not need to be a picture of your face–just something that identifies you on the OpenLab.

## Questions

If you have any questions, reach out via email or in Office Hours. If you need help with the OpenLab, you can consult OpenLab Help or contact the OpenLab Community Team.

## Class Info

**Date:**January 29, 2024

**To-Do**

Bring a notebook, pen or pencil and be prepared to take good notes during the class.

**Topic**

Everyone is assigned to a group with 3 or 4 other students.

**Group 1**

Mohamed Abdelrahim

Taino Juan Bravo I

Mathew Green

Jaylin Logan

**Group 2**

Danny Acero

Halley Engelique Brito

Tyron Leroy Henry

Merlin Lora

**Group 3**

Arafat Arefin Adi

Jahdiel Brown

Milly Herrera-Cortes

Navindra Mangra

**Group 4**

Durant Joshua Aitken

Brendan Sontonax Buissereth

Omarie Jaquan Hill

Darven K Pierre I

**Group 5**

Fayzah Hussein Alkatabi

Natalia Magdalena Cedeno

Jun Huang

Kyle Nikhail Sinanan

**Group 6**

Kristal Alvarez

Sai Ceesay

Shaquille Antonio James

Kevin Torres

**Group 7**

Jahnol Tyreek Arrington I

Kiaya T Celestine

Kastasia Kellman

Jalen Vann

**Group 8**

Marjona Ashurkulova

Britney A Cordova

Israt Korno

Holly P Vigo

**Group 9**

Brian Bautista

Yvelanda Delva

Sherece M Loather

**Objectives**

We will introduce the 6-point approach that will be used in this class.

The problem-solving approach we use in this manuscript is based on the 6-point process developed by Professors Rojas and Benakli 1 .

- Context: What is the problem about?
- Observations: List as many observations as possible (at least three). Include key words and symbols.
- Questions: Write down (at least three) questions you can ask about the problem. Be sure to include any questions you have relating to the observations you have made.
- Strategies: Write down the plan or action strategy.
- Concepts: Write down concepts needed to understand and solve the problem.
- Conclusions: Use complete sentences to express the conclusion.

**Activities**

Think carefully about these 6 points. Apply them to a problem that interests you. If you like, consider this: “How can I succeed in this class?”

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