Concepts for February 23rd

Algebra I

Today we discussed
Our discussion about relations moved into equations as relations.  A solution of a relation that has two variables is any ordered pair that makes the equation true.  We reviewed solving literal equations, and solving for a particular variable.  A review of literal equations can be found here.

Sections Covered in Textbook
1) 9-3: Equations as Relations (pages 364-368)

Video Tutorials
1)  Equations as Relations
https://www.youtube.com/watch?v=hQerO3N2zEE

Assignments
1)  Worksheet 8-9 #'s 1-14 all
Download Worsheet and Answers Here!
2)  Graphing Picture.
Download Coordinates Here!
Download Graph Paper Here!

3) Pages 367-368 #'s 13-41 odd; 42, 43, 44

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

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Pre-Algebra

Today we discussed
Our discussion about solving equations moved to working with variables on both sides.  We discussed strategies for moving the variable first, and which one to pick to start the process.  Remember, there are now three possibilities for solutions: you may have one solution, you may have an infinite number of solutions (all real numbers work), or you may have no solution at all.

Sections Covered in Textbook
1) 7-4: Variables on Each Side (pages 263-266)

Video Tutorials
1) Variables on both sides of equation
https://www.youtube.com/watch?v=fDMxOiS5g7k

Assignments
1) Worksheet on Two Step Equations

Download Worksheet and Answers here!

2) Page 266 #'s 13-35 odd; 42

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

Back To Work on February 21st!

Algebra I

Today we discussed
We moved on to begin a discussion about coordinate graphing, ordered pairs, and relations. We discussed what a relation is and how domain and range are defined.  We also discussed what the inverse of a relation is, and how to represent relations in four different ways:  ordered pairs, table, mapping and coordinate graphing.

Sections Covered in Textbook
1)  9-1; Ordered Pairs (pages 354-358)
2)  9-2: Relations (pages 359-363)

Video Tutorials
1) What is the Coordinate Plane?
http://www.virtualnerd.com/middle-math/integers-coordinate-plane/coordinate-plane/coordinate-plane-definition
How do you plot coordinates in the coordinate plane?
http://www.virtualnerd.com/algebra-1/relations-functions/coordinate-plane/coordinate-plane-graphing/coordinate-plane-graph-points-example
3) What is a relation?
http://www.virtualnerd.com/middle-math/integers-coordinate-plane/coordinate-plane/coordinate-plane-definition
4) Finding the Domain and Range of a Relation
http://www.virtualnerd.com/algebra-1/relations-functions/relations/relations-examples/find-domain-range-example
5) Finding the Inverse of a Relation
http://www.virtualnerd.com/algebra-1/relations-functions/relations/definitions/inverse-definition

Assignments
1) Pages 362-363 #'s 13-41 odd; 42

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!
If you need practice on coordinates and graphing, compete Page 257 #'s 17-53 odd.

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Pre-Algebra

Today we discussed
Today we moved into solving two-step equations.  These equations have two operations going on.  We discussed solving using inverse operations, and using the reverse order of operations to figure out where to start solving.  Also, keep in mind that when you have a fraction that has an operation in the numerator, there is an understood set of parentheses there.  That operation will need to be "undone" last.

Sections Covered in Textbook
1) 7-2:  Solving Two Step Equations (pages 255-258)

Video Tutorials
1)  Solving Two-Step Equations

• http://www.virtualnerd.com/pre-algebra/one-two-step-equations/two-step/two-step-solution/two-step-example
• https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-two-steps-equations-intro/v/solving-equations-1

Assignments
1)  Page 257 #'s 17-47 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

No Class Week of February 13th

Hello Everyone!

This is a reminder that we do NOT have class this week.

See you all on February 21st!!!

Concepts for February 9th

**REMINDER - NO CLASS NEXT WEEK!**

Algebra I

Today we discussed
We are getting ready to wrap up our discussion of rational numbers.  Today we applied all of the concepts we've learned so far to solving rational equations.  All the rules for fractions and order of operations apply here.  Keep in mind the degree of the equation will dictate how many solutions there are.  One way to handle these problems is to multiply the entire equation by the least common denominator (AKA LCM).

Sections Covered in Textbook
1) 8-9: Solving Rational Equations (pages 338-342)

Video Tutorials
1) How to Solve Rational Equation by LCD Multipliction

• http://www.virtualnerd.com/algebra-1/rational-expressions-functions/solve/example-solutions/least-common-denominator-multiplication-example
• https://www.khanacademy.org/math/algebra-home/alg-rational-expr-eq-func/alg-solving-rational-equations/v/solving-rational-equations-2

2) How to Solve Rational Equations with Binomials in the Denominator

• http://www.virtualnerd.com/algebra-1/rational-expressions-functions/solve/example-solutions/linear-variables-in-denominator-example
• https://www.khanacademy.org/math/algebra-home/alg-rational-expr-eq-func/alg-solving-rational-equations/v/rational-equations

Assignments
1) Page 341 #'s 15-39 odd
2)  Chapter test on Page 351.  Turn in this assignment to me by February 18th.  Please make sure any pictures are legible.  The goal is to correct them and discuss them during our February 21st class.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

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Pre-Algebra

Today we discussed
As an expansion of multiplying decimals and fractions, we discussed the circumference of circles.  First we defined what a circle is, what the radius represents, and what the diameter is.  We also used the formulas to find circumference when given either the radius or diameter.

Sections Covered in Textbook
1) 6-13: Circles & Circumference (pages 243-245)

Video Tutorials
1)  Finding Circumference

• http://www.virtualnerd.com/pre-algebra/perimeter-area-volume/circles/circumference/circle-circumference-from-diameter
• http://www.virtualnerd.com/pre-algebra/perimeter-area-volume/circles/circumference/circle-circumference-from-radius

Assignments
1) Page 245 #'s 13-20 all
2) Chapter Test on page 248 #'s 1-16 all and 23-30 all.   Turn in this assignment to me by February 18th.  Please make sure any pictures are legible.  The goal is to correct them and discuss them during our February 21st class.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

Discussion for February 7th

Algebra I

Today we discussed
Today we expanded our discussion of adding and subtracting rational expressions to include working with mixed expressions and complex fractions.  Basically, complex fractions are simply fractions divided by other fractions and rational expressions.  The key is to simplify the numerators and denominators first before performing the division.  This is just another flavor of following the order of operations, recalling that when there are fractions with expressions either in the numerator or denominator, there is an understood set of parentheses around those expressions meaning to simplify those first before tackling the division of the fraction.

Sections Covered in Textbook
1) 8-8: Mixed Expressions and Complex Fractions (pages 334-337)

Video Tutorials
1) What is a Complex Fraction?
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/mixed-complex-fractions/complex-fractions/complex-fraction-definition
2) Simplifying Complex Fractions (*DIFFERENT METHOD THAT WHAT WE DID IN CLASS*)
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/mixed-complex-fractions/complex-fractions/mixed-over-mixed-simplify-example
3) More on Complex Fractions
https://www.youtube.com/watch?v=h04zou8v2JY

Assignments
1) Pages 336-337 #'s 9-29 odd; #30.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We are still working with rational expressions in class and discussed how to compare rational numbers that are in different forms.  When we mention comparing numbers, we are referring to whether one number is greater than, less than, or equal to another number based upon where they fall on the number line.  The further to the right of the number line a number is, the greater that number is.  In order to be able to compare numbers accurately, both numbers should be in the same format.  So, when comparing a decimal number with a fraction, one of the numbers should be converted to the other number's format so you are comparing either two decimals or two fractions.  The same thing can be said for comparing a fraction or decimal number to another number written in scientific notation.  Make sure both numbers are in the same form so comparison becomes easier.

Sections Covered in Textbook
1) 6-12: Comparing Rational Numbers (pages 240-242)

Video Tutorials
1) Comparing and Ordering Rational Numbers
http://www.virtualnerd.com/pre-algebra/rational-numbers/definitions-basics/compare/order-fractions-decimals

Assignments
1) Page 242 #'s 10-27 all; #34

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

OPTIONAL!

Feb 2nd

Algebra I

Today we discussed
It appears that the class would benefit from another day with adding & subtracting more complicated rational expressions with unlike denominators.  We went over some of the homework and it was evident that everyone needs a little more practice.

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) Review your Mid-Chapter Quiz on Page 325.  Look over the solutions (click here) to see if you have any questions.
2)  Worksheet 8-7 #'s 1-14 all.
Download Worksheet & Answers Here!  Please check your answers and come to class prepared to work out any problems with which you had trouble.

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Pre-Algebra

Today we discussed
Today we learned what scientific notation is and how it's used.  We learned how to convert scientific notation into standard form and vice versa.  Remember, scientific notation is just a set of rules to apply to very large and very small numbers.  You must have a number that is at least 1 and less than 10 multiplied by a power of ten.  Don't let negative exponents scare you - they represent very small, decimal numbers.

Sections Covered in Textbook
1)  6-11: Scientific Notation (pages 237-239)

Video Tutorials
1) What is Scientific Notation
http://www.virtualnerd.com/algebra-2/polynomials/exponents-monomials/scientific-notation/scientific-notation-definition
2)  Converting Scientific Notation to Standard Form
http://www.virtualnerd.com/algebra-2/polynomials/exponents-monomials/scientific-notation/decimal-to-scientific-notation-conversion
3)  Introduction to Scientific Notation
https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-scientific-notation/v/scientific-notation-old

Assignments
1) Page 329 #'s 11-30 all.
2) Please spend at least 15 minutes reviewing your multiplication facts on Quizlet!

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK