Welcome Back! November 29th

Algebra I

Today we discussed
We reviewed multiplying polynomials and extended the conversation to include special products:  product of differences, sum of squares and sum of differences.  Then, we moved on to factors and Greatest Common Factor (GCF).

Recall:

Square of a Sum:  (a + b)² = a² + 2ab + b²

Square of a Difference:  (a - b)² = a² - 2ab + b²

Product of Sum & Difference:  (a + b)(a - b) = a² -  b²

Sections Covered in Textbook
1) 6-9: Some Special Products (pages 243-246)
2) 7-1: Factors and Greatest Common Factor (GCF) (pages 256-260)

Video Tutorials
1) Using the formula for finding the product of a sum and difference.
http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/special-products/sum-difference-product/sum-and-difference-product-formula-example
2) Finding the square of a sum.
http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/special-products/squares-of-sum-difference/square-of-a-sum-formula

Assignments
1) Page 245 #'s 11-35 odd, 36.
2) Pages 258-259 #'s 17-66 - problems in 1st column only!

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We briefly reviewed multiplying powers with the same base and then started our conversation about the various sets of numbers (Natural, Whole, Integers, Rational, Real).  From there we discussed how to turn a fraction into a decimal and a decimal into a fraction.

To turn a decimal into a fraction:
1)  Say it
     2)  Write it
          3) Simplify it!

Number Sets:

Sections Covered in Textbook
1) 5-1: Rational Numbers (pages 166-168)
2) 5-2: Writing Decimals as Fractions (pages 169-171)

Video Tutorials
1) Writing Decimals as Fractions
http://www.virtualnerd.com/middle-math/decimals/representing/rewrite-as-fraction-example

Assignments
1) Page 171 #'s 19-43 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Ready-for-Thanksgiving-Break Edition - November 17th

Algebra I

Today we discussed
Our discussion on multiplying polynomials moved into multiplying binomials (and the famous F.O.I.L.) mnemonic.  Keep in mind that when multiplying polynomials by polynomials, think to yourself how many multiplication problems you are actually having to do.  When multiplying, you must distribute all monomials throughout your expression.

(3x +2y)(x² + 3x + 4) à You are multiplying 2 monomials by 3 monomials for a total of 6 products!

(3x · x² ) +( 3x · 3x) +(3x · 4) + (2y · x²) + (2y · 3x) +( 2y · 4)
      1              2              3              4            5           6

Sections Covered in Textbook
1) 6-8: Multiplying Polynomials (pages 238-242)

Video Tutorials
1)  Multiplying Polynomials
http://www.virtualnerd.com/algebra-2/polynomials/operations/multiply/trinomial-multiplication
https://www.khanacademy.org/math/algebra2/arithmetic-with-polynomials/multiplying-polynomials-review/v/more-multiplying-polynomials

Assignments
1)  Page 241 #'s 13-43 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!
Try out the Thanksgiving Feast Puzzle!

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Pre-Algebra

Today we discussed
We continued our discussion of powers and bases and moved into dividing powers with the same base and the rules for handling these types of expressions.  Recall the main points from today's class:

Also recall that any number raised to the zero power is always one!

To be in simplest form, all negative exponents must be simplified.  A negative exponent is just a fraction!

Sections Covered in Textbook
1)  4-10: Dividing Powers (pages 155-158)

Video Tutorials
1) Dividing Monomials
https://www.youtube.com/watch?v=K9Hi85Wzqaw
https://www.youtube.com/watch?v=UYiJfG8EMc0
2)  Numbers raised to the zero power
http://study.com/academy/lesson/the-power-of-zero-simplifying-exponential-expressions.html

Assignments
1)  Pages 157-158 #'s 12-31 all, 46

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!
Try out the Thanksgiving Feast Puzzle!

Topics for November 15th

Algebra I

Today we discussed

We worked on multiplying polynomials by a monomial and some practical applications with this concept.  We also discussed solving equations.  

Sections Covered in Textbook

1) 6-7: Multiplying a Polynomial by a monomial (pages 234-237)

Video Tutorials

1)  Multiplying Polynomials by Monomials.

https://www.youtube.com/watch?v=umJxT6yIoTU
http://www.virtualnerd.com/algebra-1/exponents-exponential-functions/monomials-polynomials/polynomials/monomial-by-polynomial-multiplication

Assignments

1)  Pages 236-237 #'s 15-51 ÷ 3

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed

We moved from factoring to multiplying powers with the same base.   Recall the rule of multiplying powers with the same base:

a^m + aⁿ = a ^m+n

^Example:  2⁵ + 2³ = 2 ⁵⁺³ = 2⁸

Sections Covered in Textbook

1)  4-9: Multiplying Powers (pages 152-154)

Video Tutorials

1)  Multiplying Powers

https://www.youtube.com/watch?v=KCSUGdi8mdg

Not a video, but a good explanation of mulitplying powers can be found by clicking here.

Assignments

1)  Page 154 #'s 13-27 odd, 37

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Answer to Einstein's Zebra can be found here:
https://en.wikipedia.org/wiki/Zebra_Puzzle

November 10th Topics

Algebra I

Today we discussed
We began our discussion defining monomials and polynomials.  We investigated the degree of monomials and polynomials and finished with adding and subtracting polynomials.

KEY POINT:  When subtracting polynomials, remember to distribute the negative to all terms that are being subtracted!

Sections Covered in Textbook
1) 6-5: Polynomials (pages 226-229)
2) 6-6: Adding and Subtracting Polynomials (pages 230-233)

Video Tutorials
1)  Degrees of Polynomials
https://www.youtube.com/watch?v=SEmsHsHmceM
2)  Putting Polynomials in Ascending and Descending Order
https://www.youtube.com/watch?v=5x7R-lQI_i0
3)  Adding and Subtracting Polynomials
https://www.youtube.com/watch?v=IDpnNnjFB1c
https://www.khanacademy.org/math/in-seventh-grade-math/algebraic-expressions/like-unlike-addition-subtraction/v/adding-and-subtracting-polynomials-3

Assignments
1)  Page 228 #'s 23-43 odd, 44
2)  Pages 232-233 #'s 13-39 odd
3)  Einstein's Zebra Puzzle
     Download here.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We reviewed Least Common Multiple (LCM) and applied that concept to comparing fractions, and finding the least common denominator, and finding equivalent fractions.

Sections Covered in Textbook
1)  4-8: Comparing Fractions (pages 149-151)

Video Tutorials
1)  Compare Fractions Using LCM
https://www.youtube.com/watch?v=vE6A3y_M8JY
https://www.youtube.com/watch?v=gtjiRLySTkk

Assignments
1)  Page 150 #'s 15-29 odd
2)  Einstein's Zebra Puzzle
     Download here.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Election Day Edition...

Algebra I

Today we discussed
Scientific notation is a numeric format that allows us to deal with very large and very small numbers.  Scientific notation allows us to be able to multiply and divide these numbers with greater ease.

Sections Covered in Textbook
1)   6-4:  Scientific Notation (pages 221-225)

Video Tutorials
1) Scientific Notation
https://www.youtube.com/watch?v=Q_klLmTSyyw
https://www.youtube.com/watch?v=Dme-G4rc6NI
2)  Multiplying and Dividing with Scientific Notation
https://www.youtube.com/watch?v=UADVIDjdaVg

Assignments
1)   Page 224 #'s 15-41 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

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Pre-Algebra

Today we discussed
Our discussion of prime factorization has moved into finding the least common multiple of a set of numbers.

Sections Covered in Textbook
1)  4-7: Least Common Multiple (pages 146-148)

Video Tutorials
1)  Least Common Multiple
https://www.youtube.com/watch?v=wBqlde4f5Aw

Assignments
1) Page 148 #'s 25-43 odd, 52

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

What we covered on November 3rd

Algebra I

Today we discussed
Our discussion of polynomials moved into dividing powers with the same base and the rules for handling these types of expressions.  Recall the main points from today's class:

Also recall that any number raised to the zero power is always one!

To be in simplest form, all negative exponents must be simplified.

Sections Covered in Textbook
1)  6-3: Dividing Monomials (pages 217-220)

Video Tutorials
1) Dividing Monomials
https://www.youtube.com/watch?v=K9Hi85Wzqaw
https://www.youtube.com/watch?v=UYiJfG8EMc0
2)  Numbers raised to the zero power
http://study.com/academy/lesson/the-power-of-zero-simplifying-exponential-expressions.html

Assignments
1)  Multiplying and Dividing Monomials Worksheet 1-22 all
     Download worksheet and answers here.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!
Try to figure out the secret to the Magic Cards game.

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Pre-Algebra

Today we discussed
We reviewed greatest common factor (GCF) and applied it to simplifying fractions.  We simplified fractions using three different methods.

Example:

Sections Covered in Textbook
1)  4-6: Simplifying Fractions (pages 143-145)

Video Tutorials
1)  Simplifying Fractions using GCF
http://www.virtualnerd.com/middle-math/number-theory-fractions/equivalent-fractions/simplify-fraction-gcf

Assignments
1) Page 144 #'s 17-43 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!
Try to figure out the secret to the Magic Cards game.

Happy November!!!

Algebra I

Today we discussed
In class today, we reviewed both the Chapter 2 and Chapter 5 tests.  Overall, everyone is doing well!  We moved into our discussion of polynomials, and specifically, multiplying monomials.  Recall the rule of multiplying powers with the same base:

a^m + aⁿ = a ^m+n

^Example:  2⁵ + 2³ = 2 ⁵⁺³ = 2⁸

Sections Covered in Textbook
1)  6-2: Multiplying Monomials (pages 213-216)

Video Tutorials
1)  Multiplying Monomials
http://www.virtualnerd.com/algebra-1/exponents-exponential-functions/monomial-multiplication-example.php
https://www.youtube.com/watch?v=c0BCL3hD--4

Assignments
1)  Pages 215-216 #'s 11-47 odd, 48, 49

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We reviewed prime factorization in preparation for using factor trees to help us find the greatest common factor of a set of numbers (GCF).

Sections Covered in Textbook
1)  4-5:  Greatest Common Factor (pages 140-142)

Video Tutorials
1)  Finding the Greatest Common Factor
https://www.youtube.com/watch?v=uE9O8N5JYB4
http://www.virtualnerd.com/pre-algebra/factors-fractions-exponents/prime-factorization-greatest-common-factor/greatest-common-factor/greatest-common-factor-two-numbers

Some Examples from class:

Example #2 with a variable included:

Assignments
1)  Page 142 #'s 15-37 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK