Mrs. Osawaru

Monday, January 23, 2017

Week of January 23, 2017

ALGEBRA 1

TASK: What is a polynomial? Explain what a polynomial is and provide an example. (Look at your flashcards if you need a reminder)

We can combine polynomials by using the four operations (addition, subtraction, multiplication, and division). This lesson will discuss how we add and subtract polynomials. The next lesson will show you how to multiply polynomials. You will learn how to divide polynomials in Unit 4.

The most important thing to remember when working with polynomials is that they are a group of numbers. This means that each polynomial needs to be in parentheses at the beginning of the problem. However, most of the time there are not a lot of like terms to combine within the parentheses. Therefore, after we combine all of the like terms within the parentheses, we need to get rid of the parentheses.

TASK: How do we get rid of parentheses?

Example: Find the sum of

and

.

The key word "sum" indicates that we have to add these two polynomials, so we can set up our problem like this:

Remember to put the parentheses because polynomials are a group!

Since there are no like terms inside each set of parentheses that we can combine, we have to use the distributive property to get rid of the parentheses. However, there's no number outside the parentheses for us to distribute.

TASK: When there's no number outside the parentheses for us to distribute, what number can we put there? Why does this work?

So we get:

When we distributed the positive 1s to both sets of parentheses, we got rid of the parentheses and everything else stayed the same. Then, we combined the like terms to get out answer.

Be careful when combining like terms because the signs of the numbers can get tricky. The easiest way to remember it is that whatever sign is in front of the term is the sign that goes with it. For example, in the problem above, we combine positive 9 and negative 12 to give us the negative 3 in the answer.

Subtracting polynomials is the same as adding polynomials, except there's one step that's a little trickier. Let's look at the same example from above, but instead of adding them, we're going to subtract them. We set up the problem like this:

We still have no numbers outside the parentheses, so we put the ones:

This is where the problem gets a little trickier because this time instead of distributing a positive 1 to each set of parentheses, we're distributing a positive 1 to the first set of parentheses, but a negative 1 to the second set of parentheses. This is going to change the signs of each term in the second polynomial. So we get:

Take a look at one more example. It follows the same steps, but it looks a little different:

TASK: Explain the steps done in the example problem above.

ALGEBRA 2 Difference of Two Squares

Before I show you any special guys, you need to be very familiar with some basic perfect squares:

And some perfect cubes:

You should know these cold. If my cat comes into you room some night, wakes you out of a dead sleep and yells, "meow meow meow meow!" OK, pretend that he speaks English and yells, "64! What is it? WHAT IS IT?!" Without even thinking, you should yell, "A perfect square! Don't hurt me!"

(Don't worry. My cat isn't allowed out at night.)

OK -- let's go!

Special Guy # 1:

The difference of two squares

Check it out:

Factor

Write it as

Check using FOIL -- Believe me?

TRY IT:

Factor

Here's another one:
Factor

Rewrite it as squares...

YOUR TURN:

Factor

What about this guy?

What did we call special guy # 1 ?

The DIFFERENCE of two squares!

is a sum, not a difference... and we do NOT know how to factor him yet! ( Later!)

References:

http://www.coolmath.com/algebra/04-factoring/06-difference-squares-cubes-03

Monday, January 9, 2017

Week of January 9, 2017

Algebra 1

1.1 Intercept Terms, Factors, and Coefficients

PowerPoint: 1.1 – Interpreting Terms, Factors, and Coefficients

Notes: 1.1 – Interpreting Terms, Factors, and Coefficients – Notes

Practice: 1.1 – Interpreting Terms, Factors, and Coefficients – Practice

Practice: 1.1 – Interpreting Terms, Factors, and Coefficients – Practice #2

Algebra 2

Assessments: Pretest on Thursday, you do not study for this item. A quiz is likely late in the week. Unit test is Tuesday or Wednesday of the following week.

Monday
Today, we look at quantitative data and Categorical Data. Also, we look at sample types.
Help:http://support.minitab.com/en-us/minitab/17/topic-library/basic-statistics-and-graphs/introductory-concepts/data-concepts/cat-quan-variable/
HW: None

Tuesday
Today, we look at sample types again and Explanatory and Response distinction
Help:http://www.usablestats.com/lessons/datatypes
HW: None

Wednesday
Moving along in the week, a discussion of biased and unbiased sampling and correlation and causation
Help: https://en.wikipedia.org/wiki/Correlation_does_not_imply_causation
http://study.com/academy/lesson/correlation-vs-causation-differences-lesson-quiz.html
HW: None

Thursday
Pretest today, do not study. we look at mean, median, mode, range and skewness of graphs
Help:http://www.abs.gov.au/websitedbs/a3121120.nsf/home/statistical+language+-+correlation+and+causation
HW: None

Friday
Yes, it is Friday! We will review today and test is on Tuesday.
HW: None

Monday, December 12, 2016

Week of 12/12/2016

Geometry

The final exam is on Tuesday 12/20.

College Readiness Math

The final exam is on Wednesday 12/21.

Monday, December 5, 2016

Week of 12/05/2016

Geometry

The EOC begins next week Monday 12/12/16 through 12/13/16.
Find below the link to the blog:
https://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Documents/EOCT%20Analytic%20Geometry%20Study%20Guide%20Revised%20January%202014.pdf

College Readiness Math

tutoring: Monday afternoon for sure, morning to be determined, see me in class

Assessments: Unit test on Thursday

Monday
It is time to review graphing lines.
HW: None

Tuesday
And we write equations of lines today.
HW: None

Wednesday
A combination of graphing lines and writing equations of lines from the graph. also, we review for a unit test.
HW; Test tomorrow, finish review

Thursday
The day to shine!
HW; None

Friday
New unit today with systems of equations ( focus is elimination)
HW; None

Have a great weekend!

Monday, November 28, 2016

Week of 11/28/16

Geometry

EOC study guide
https://www.gadoe.org/Curriculum-Instruction-and-Assessment/Assessment/Documents/EOCT%20Analytic%20Geometry%20Study%20Guide%20Revised%20January%202014.pdf

College Readiness

Tutoring: Wednesday morning and Friday afternoon

Assessments: quiz likely on Friday

Monday
Welcome back from the break! today, we look over the area and perimeter quizzes and make any needed changes. Also, we look at rational equations and isolating a variable.
Help:http://www.purplemath.com/modules/solvrtnl.htm
HW; None

Tuesday
We are moving to unit 4 and we solve linear systems of equations.
Help:https://www.khanacademy.org/math/algebra-basics/alg-basics-systems-of-equations
HW; None

Wednesday
It is day two of systems of equations and we look at elimination
Help:https://www.khanacademy.org/math/algebra/systems-of-linear-equations/solving-any-system-of-linear-equations/e/systems_of_equations
HW; None

Thursday
Day 3 of systems of equations, look at word problems today
Help:https://www.khanacademy.org/math/algebra-home/alg-system-of-equations/alg-equivalent-systems-of-equations/v/solving-systems-of-equations-by-elimination
HW; None

Friday
It is your day to shine, quiz on systems of equations.
Help:http://www.regentsprep.org/regents/math/algebra/AE3/AlgSysAdd.htm
HW; None

Have a great weekend!

Monday, November 7, 2016

Week of November, 7 2016

Geometry

Reference Table for Solids

Volume is measured in cubic units.
Surface area is measured in square units.

Volume (V) and Surface Area (SA) FormulasNote: Surface area formulas may need to be amended if the figure has "open" surfaces,
such as when working with a box without a lid or with an empty paper towel roll.

	Rectangular Solid *V=lwh* *SA=2lh + 2hw + 2lw*This formula assumes a "closed box", with all 6 sides.
	Cylinder This formula assumes a "closed container", with a top and bottom..
(optional formula)	Sphere
(optional formula)	Cone This formula assumes a "closed container", with a bottom..

Source: http://www.regentsprep.org/regents/math/algebra/as2/Solids.htm

College Readiness Week of 11.7.2016

Tutoring: Thursday morning and Friday afternoon

Assessment: Test part on Thursday and part two of test on Friday

Monday
Today, we look at area of two televisions and area/ perimeter of a figure
Help:https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-basics
HW; None

Tuesday
Holiday, enjoy the day off!

Wednesday
It is day one of review for unit three , you will need to think in class.
Help: http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U07_L2_T2_text_final.html
HW; None

Thursday
Day two of review for unit three, be ready to think again
Help:https://www.youtube.com/watch?v=hqqtumES-rQ
HW; Finish review sheet

Friday
Test day, you shall shine!
HW; None

Have a great weekend!