January 26th

REMINDER!!!  **No Class on January 31st!!**

Algebra I

Today we discussed
Rational expressions just added another step.  Recalling that whenever we add any types of fractions, rational expressions included, we must have a common denominator.  We'll use our knowledge of factoring and GCF to build common denominators so we can combine these rational numbers.

Sections Covered in Textbook
1) 8-7: Rationals Expressions with Unlike Denominators (pages 329-333)

Video Tutorials
1)  Adding and Subtracting Rational Expressions with Different Denominators
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/add-subtract/add-subtract-unlike-denominators/different-denominators-add-example

Assignments
1) Complete the mid-chapter review on Page 325 #'s 1-11.  Complete this activity by Tuesday, January 31st at 9:30 AM and turn in electronically to me.  I will correct them and we will discuss during Thursday's class.
2) Pages 332 #'s 13-39 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Today we did a full review of adding, subtracting, multiplying and dividing rational numbers (fractions).  We focused on the key concepts needed to perform each operation for each type of problem.  Here is a handy summary:

Sections Covered in Textbook
1)  Today was a comprehensive review of fraction operations and we did not discuss any particular sections in the book.

Video Tutorials
Operations with Fractions.

• https://www.youtube.com/watch?v=-YMVu5nFvzc
• https://www.youtube.com/watch?v=WICowAtK9U0

Assignments
1) Complete the mid-chapter quiz on Page 227 #'s 1-9 all (skip 2 & 3).  Complete this activity by Tuesday, January 31st at 10:30 AM and turn in electronically to me.  I will correct them and we will discuss during Thursday's class.
2)  Multiplying and Dividing Fractions Worksheet.
Download Worksheet and Answers here.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Happy Tuesday! Topics for January 24th

Algebra I

Today we discussed
Today's discussion was about rational expressions with like denominators.  We are moving into adding and subtracting complicated rational numbers, which are handled just like fractions.  To be able to add the expressions together, just like with fractions, we must have a common denominator.  Keep in mind that when you subtract a rational expression, you must distribute the negative to all pieces of the subtrahend.  Also, as with "regular" fractions, you should make sure your answer is in simplest form.

Sections Covered in Textbook
1) 8-5: Rational Expressions with Like Denominators (pages 322-325)

Video Tutorials
1) Adding Rational Expressions with the Same Denominator
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/add-subtract/add-subtract-like-denominators/same-denominator-addition-example

Assignments
1)  Page 324 #'s 13-43 odd; #34

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Our discussion of rational numbers moved on to long division of rationals.  Keep in mind that you must divide by a whole number so you might need to multiply the divisor and dividend by a power of 10 to make that happen.

Sections Covered in Textbook
1) 6-7: Rationals: Dividing Decimals

Video Tutorials
1) Long Division with Decimals

• https://www.youtube.com/watch?v=nfTTVYwN9tc
• http://www.mathplayground.com/howto_dividedecimals.html

Assignments
1) Pages 226-227 #'s 3-29 odd.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Concepts for Jan 19

Algebra I

Today we discussed
Our discussion moved into dividing polynomials, using long division.   As with regular long division, this process is a multi-step process, and because life doesn't always come in perfect whole packages, some problems will have remainders.

Sections Covered in Textbook
1)  8-4: Dividing Polynomials

Video Tutorials
1)  Dividing Polynomials

• https://www.youtube.com/watch?v=H94ma2ofGuc (*excellent example*)
• http://www.virtualnerd.com/algebra-1/rational-expressions-functions/polynomial-division/polynomial-long-division/polynomial-long-division-example
• https://www.youtube.com/watch?v=qIpCI2iKbAg

Assignments
1)  Worksheet 8-4 #'s 1-10 all (some have remainders)
Download Worksheet and Answers here. 

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Our discussion on rational operations moved into dividing fractions.  We discussed multiplicative inverses and how to use them to convert division problems into multiplication problems.  Recall;

Sections Covered in Textbook
1) 6-5: Multiplication Inverses  (pages 219-221)
2) 6-6: Rationals: Dividing Fractions  (pages 222-224)

Video Tutorials
1)  What are Multiplicative Inverses?
https://drive.google.com/open?id=0B-smnh-jYUx6RnotWlBoelJZSTQ
2)  Dividing Fractions and Mixed Numbers

• http://www.virtualnerd.com/pre-algebra/rational-numbers/fraction-division-multiplication/divide-fractions/divide-fractions-example
• https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/v/dividing-mixed-numbers
• http://www.virtualnerd.com/middle-math/multiplying-dividing-fractions/mixed-number-divide/practice-divide-mixed-numbers

Assignments
1)  Pages 223-224 #'s 13-35 odd
2)  Multiplying Decimals Worksheet
Download Worksheet and Answers here.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Jan 17

Algebra I

Today we discussed
Today we moved on to dividing rational expressions.  Recall that division of fractions involves multiplying by the reciprocal of the divisor.

The same is true for rational expressions.  If you are dividing rational expression, multiply the dividend by the inverse of the divisor.  Again, if there are variables in the denominator of the resulting expressions, there will be some excluded values.  

Sections Covered in Textbook
1) 8-3: Dividing Rational Expressions (pages 316-318)

Video Tutorials
1)  Dividing Rational Expressions and Finding Excluded Values

• http://www.virtualnerd.com/algebra-1/rational-expressions-functions/multiply-divide/divide/divide-example
• https://www.youtube.com/watch?v=2kmjENwKscQ

Assignments
1)  Page 317 #'s 13-33 odd.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Our discussion of rational numbers moved on to multiplying decimal numbers.  When multiplying decimals, recall the following steps:

1. IGNORE the decimals in the beginning.
2. Set up the problem like you would any other multiplication problem.
3. Perform the multiplication.  Make sure you use place holders when necessary.
4. Count the decimal places in all of you factors.
5. Place the decimal in your product.  

Sections Covered in Textbook
1) 6-4: Rationals: Multiplying Decimals (pages 215-217)

Video Tutorials
1) Multiplying Decimals

• http://www.virtualnerd.com/middle-math/decimals/multiplying/decimal-multiplication-method
• http://www.mathplayground.com/howto_multiplydecimals.html

Assignments
1) Page 217 #'s 9-45 odd.
2)  Spend 15 minutes working practicing your multiplication facts using Quizlet!

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Concepts for January 12th

Today we discussed
Our discussion about rational expressions moved into multiplying the expressions together.  Keep in mind that expressions with variables in the denominator will always have some excluded values that must be declared when simplifying or solving.

Sections Covered in Textbook
1)  8-2: Multiplying Rational Expressions (pages 311-314)

Video Tutorials
1)  Multiplying Rational Expressions
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/multiply-divide/multiply/multiply-example
 * Not a video, but a good written tutorial can be found here:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut9_mulrat.htm

Assignments
1)  Pages 313-314  #'s 9-39 1st column only; 43, 44, 45.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Our discussion moved on to multiplying rational numbers.  When we multiply rationals (fractions) we have several steps to remember:

1. First, turn all mixed numbers and whole numbers into improper fractions.
2. Simplify if possible by dividing out common factors from the numerator and denominator.
3. Multiply the numerators together.
4. Multiply the denominators together.
5. Simplify, if necessary.

Sections Covered in Textbook
1) 6-3: Rationals:  Multiplying Fractions (pages 211-214)

Video Tutorials
1)  How to Multiply a Whole Number by a Fraction
http://www.virtualnerd.com/middle-math/multiplying-dividing-fractions/multiply/whole-number-by-fraction-multiplication
2)  How to Multiply Mixed Numbers

• http://www.virtualnerd.com/pre-algebra/rational-numbers/fraction-division-multiplication/multiply-fractions/multiply-mixed-numbers-example
• https://www.khanacademy.org/math/arithmetic-home/arith-review-fractions/5th-mult-mixed-num/v/multiplying-mixed-numbers

Assignments
1)  Adding Fractions Worksheet.
Download Worksheet here.
2)  Pages 213-214 #'s 15-41 odd
**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!
Keep practicing your multiplication facts using Quizlet!

Back in the Swing... January 10th

Algebra I

Today we discussed
We reviewed our discussion of simplifying rational expressions.  We will use all factoring methods to try to simplify these expressions, including finding the Greatest Common Factor (GCF) or factoring other polynomials.  It's also important to recognize that some values will cause our expressions to be undefined, so we must name any excluded values.

Please review the chart on page 286 in your textbook for factoring options.

Sections Covered in Textbook
1) 8-1: Simplifying Rational Expressions (pages 306-310)

Video Tutorials
1)  Finding Excluded Values
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/expressions/excluded-values/excluded-value-example
2)  Simplifying Rational Expressions

• https://www.youtube.com/watch?v=yfToPZqbvu4
• https://www.youtube.com/watch?v=ilXb80DGElk

Assignments
1)  Page 309 #'s 21-49 2nd column only!!!
2)  Exam corrections are due on Thursday!


**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
As we move on to multiplying rational numbers, today we needed to review changing fractions to mixed numbers and mixed numbers back to improper fractions.

Sections Covered in Textbook
This class discussion supplemented our discussion about multiplying fractions.  I felt it was necessary to review some older concepts that are not currently covered in the textbook.

A good online tutorial of how to convert mixed numbers to improper fractions and vice-versa can be found here:  http://www.mathsisfun.com/improper-fractions.html

Video Tutorials
1)  Converting Improper Fraction to a Mixed Number
http://www.virtualnerd.com/middle-math/number-theory-fractions/mixed-numbers-improper-fractions/improper-to-mixed-fraction-conversion
2)  Converting Mixed Numbers into Improper Fractions
http://www.virtualnerd.com/middle-math/number-theory-fractions/mixed-numbers-improper-fractions/mixed-to-improper-fraction-conversion

Assignments
1)  Practice Worksheet on Mixed Numbers and Improper Fractions.
Download Worksheet here. 
2)  Spend at least 15 minutes reviewing your multiplication facts on Quizlet!

January 5th Topics

Algebra I

Today we discussed
We began our discussion of simplifying rational expressions.  We will use all factoring methods to try to simplify these expressions, including finding the Greatest Common Factor (GCF) or factoring other polynomials.  It's also important to recognize that some values will cause our expressions to be undefined, so we must name any excluded values.

Sections Covered in Textbook
1) 8-1: Simplifying Rational Expressions (pages 306-310)

Video Tutorials
1)  Finding Excluded Values
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/expressions/excluded-values/excluded-value-example
2)  Simplifying Rational Expressions

• https://www.youtube.com/watch?v=yfToPZqbvu4
• https://www.youtube.com/watch?v=ilXb80DGElk

Assignments
1)  Pages 308-309 #'s 11-50 1st column only!!!
2)  Continue working on test corrections.
3)  Page 303 - Chapter Test #'s 1-25 odd (Turn this in to be checked by me).

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

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Pre-Algebra

No Class Today! 

New Year Edition - January 3rd

Algebra I

Today we discussed
We reviewed factoring quadratic equations using many methods, and applied factoring to solving equations.

Sections Covered in Textbook
1)  7-10:  More Solving Equations by Factoring (pages 295-299)

Video Tutorials
1)  Solving Quadratic Equations by Factoring

• http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/square-roots-and-factoring/factoring/solve-by-factoring
• https://www.youtube.com/watch?v=SDe-1lGeS0U

Assignments
1)  Begin reviewing and correcting your semester exam.  Test corrections will be due on January 10th.
2)  Page 298 #'s 15-43 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

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Pre-Algebra

No Class Today!
See you Tuesday!