Lesson 69 Factoring Trinomials

Lesson 68 More on Complex Fractions

Lesson 67 Part I

Lesson 66 Simplification of Radical Expressions, Square Roots of Large Numbers

Follow the same steps you did the night before. Read and listen carefully!

This video covers the topics in lesson 65 concerning Addition of Radical Expressions.


READ THE POST ON HOW TO WATCH A VIDEO FOR HOMEWORK BEFORE YOU START WATCHING THE VIDEO!


It would be best to watch the video full screen!  Do the problems that the teacher suggests you do. Pause the video and work them out. You can even read along with her in your text - she is using the same book.  YES!!

1.  Always have a writing utensil and paper when watching videos.

2.  Take notes on the video (remember you can pause and rewind).

3.  Workout example problems in the video on your own (with the video paused) or workout example problems that are given to you by the teacher.

4.  Write out any questions about the video that you would like to ask during class.

5.  If there is a mathematical error in the video write down the time it takes place in the video and an explanation of the error.

Note:  Create vocabulary list of math words that are specific to this lesson or new to you.  Create index cards to help you become more familiar with these terms.

Lesson 60 Vocabulary

Geometric Solid	A Geometric solid where two faces (called bases) are identical and parallel polygons and where the other faces are parallelograms (Lateral Faces)
Lateral Edges	Segments in which the lateral faces intersect into
Altitude	A perpendicular segment joining the planes of the bases
Height	The length of the Altitude
Right Prism	A prism whose lateral edges are at right angles to the bases
Right Triangular Prism	The bases are triangles
Right Rectangular Prism	The bases are rectangles
Right Trapezoidal Prism	The bases are trapezoids
Right Pentagonal Prism	The bases are pentagons
Cylinder	Is like a prism except the bases are closed curves instead of polygons
Lateral Surface	The curved surface between the bases
Right Circular Cylinder	Cylinder where the bases are circles
Right Cylinder	A cylinder whose axis is at right angles to the bases

 -Annice Wyatt

Subset                          A set that is part of a larger set.

Proper Set                     A proper subset of a set, denoted, is a subset that is strictly contained in and so necessarily excludes at least one member of. The empty set is therefore a proper subset of any nonempty set.

Equal Sets                     Sets that have exactly the same members. (Two words, plural)

Improper Subset              A subset that includes the entire parent set; see proper subset.

Empty Set                     In mathematics, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) is. Some axiomatic set theories assure that the empty set exists by including an axiom of empty set; in other theories, its existence can be deduced. Many possible properties of sets are trivially true for the empty set.

Null Set                        A set that is empty; a set with no members.

Real Number                  Any rational or irrational number.

Infinite Set                    In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable.

Natural Numbers             The number 1 and any other number obtained by adding 1 to it repeatedly.

Whole Numbers               A number without fractions; an integer.

Integers                        1. A whole number; a number that is not a fraction. 2. A thing complete in itself.

Rational Numbers              An integer or a fraction.

Irrational Numbers           A real number that cannot be expressed as a rational number.

Mutually Exclusive       Contradictory: unable to be both true at the same time.

by Kendall

Finite and Infinite Sets

Be sure to read section about set membership and rearranging before graphing in your book, Lesson 56.

50.A Polynomial equations
In lesson 48 we learned that the degree of a term of a polynomial is the sum of the exponents and variables of the term.
                    
                        3x        first-degree term
                        mxy     third-degree term

Also we learned that the degree of a polynomial is the same as the degree of the highest degree term is.

What are the degrees of the following equations?

2x^3 + x + 4 +3y

xc^4f + y^5

3 + l

When two polynomials are connected by an equal sign we call the equation a polynomial equation, whos degree is the highest-degree.

There is an infinite amout of values for variable of first-degree terms

Solve for the value of y by using the given value of x, then check by plugging in the value:

3x+ 12= y,       if x = 4
3(4) + 12 = y
12+12=y
24=y

Practice:

a)       4+2n=y,        if n=8

b)     3+2+4t=y,        if t =7

c)      2m+12+8+4+ 3m +6 =y-10,    if m=5

X can be replaced with any real number and use the equation to find y. The variable x is called the independent variable. The variable y depends on the value of x, meaning that y is the dependent variable.

Lesson 50 Coordinate System (Cartesian Plane) by MyVideoMath

Review of the film: Coordinate System (Cartesian Plane) by MyVideoMath\
What did the guy do good in the video?
- In the video, he did a great job of explaining who the Rene Descartes was. He put great information about his life and why he decided to make up this system. He told the viewers about all the basics of the system and how to use it. I like how he related the method to a map. I also like how he gave you problems at the end.

What he could have done better?
- He could have made the video more interesting and exciting! He spoke in the same voice the whole video and got kinda anoying. Other then that everything else was fine.

What I still don't understand?
- He did a good job of going through everything slowly and spot on. Because he did that I feel that I know everything to do for one of these problem.

Any final thoughts on the video?
- The film was great. It has great information an super easy to understand. Gives examples and attempts to give you little cheating ways to understand the problems. Overall the video was a great watch and I'm glad I saw it.

Fun facts about Rene Descartes:
- He never Married
- He entered College at age 8 and stayed for eight years.

• He never married.
• The Pope banned his works from the Catholic church.

Ordered Pairs

Annice & Kendall

If you're looking at an equation with x and y shown we let x=5 and y=3, this pair of values will make the equation true.  Also, the pairs x=-2 and y=8 is a bit long to write, so instead you can just write (5,3) and (-2,8).
When writing x, the value will always be indicated by the first number in the parenthesis and the y value will always indicate the second number in the parenthesis. 

-Since the numbers are being written in order, beginning with x followed by y, we name this ordered pairs.

-The general form for ordered pairs is x and y (x,y). However, if the two variables that are used are not x and y, you must designate which variable will be represented by each part in the parenthesis.
ex. If the variables c and d are used in the statement and we wish to write c value first, we can make this statement about the ordered pairs (c,d)

Lesson 48 Polynomials ~ Degree ~ Addition of Polynomials

   

Tonight you will be learning about Polynomials.  We will borrow the video from Sandy Jordan's class (ignore the lesson number - we are working through lesson 48 in our class, but it's the same stuff).
Please remember to do the five things I have asked you to do when watching videos.  See previous post for reminder.

The link below takes you to the video located on Sandy's teacher page on the Paideia website.  You should have the username and password for this protected page.  It is the same that you would use when visiting other teacher pages.

http://pythonnet.paideiaschool.org/Teacherpages/Sandy_Jordan/Site/Videos_files/c4s2_1.mov

When you are done viewing the video and taking notes, writing questions, working example problems at the end of the video, etc. you are done.
The page numbers and example at the end of this video to do not correspond to our book - so you can ignore them!
We will also work problems in class the next day.

Things you should know and do when you watch videos...

1.  Always have a writing utensil and paper when watching videos.

2.  Take notes on the video (remember you can pause and rewind).

3.  Workout example problems in the video on your own (with the video paused) or workout example problems that are given to you by the teacher.

4.  Write out any questions about the video that you would like to ask during class.

5.  If there is a mathematical error in the video write down the time it takes place in the video and an explanation of the error.

Note:  Create vocabulary list of math words that are specific to this lesson or new to you.  Create index cards to help you become more familiar with these terms.

Range, Median, Mode, and Mean

Example Problems

1.  Find the range, median, mode, and mean of the following numbers.

3, 8, 7, 4, 9, 10, 12, 9

2.  The scores on the test were 81, 79, 96, 66, 81, 70, 89, 80, and 92.  Find the range, median, mean, and mode of the test scores.

3.  The mean of four numbers is 8.  Three of the numbers are 2, 4, and 7.  Find the fourth number.

Algebraic Expression Least Common Multiple lesson #43

This is NOT the only nor same video, but they are by the same person. Please watch both and do the questions that JoJo asked use to do. Thank you! =)

Least Common Multiple (LCM) Lesson #43

This is NOT the only nor the same video, but they are by the same person. Please watch both and do the questions that JoJo asked use to do. Thank you! =)