May 9, 2017 Topics

Algebra I

Today we discussed
We discussed how to solve equations with radicals.  Most notably, we must isolate the radical so that we can square both sides (using inverse operations again to solve equations!).  We also reviewed simplifying radical expressions - recall that radicals in the denominator are not permitted if an expression is to be in simplest form.

Sections Covered in Textbook
1) 12-7: Radical Equations (pages 501-505)

Video Tutorials
1) Solving radical equations.
http://www.virtualnerd.com/algebra-2/radical-functions/expressions-examples/solve-equations/solving-example
2) Solving radical equations with a variable in the radicand.
http://www.virtualnerd.com/algebra-2/radical-functions/expressions-examples/solve-equations/solve-radical-equation
3) Solving radical equations with extraneous solutions.
https://www.khanacademy.org/math/algebra2/radical-equations-and-functions/solving-square-root-equations/v/extraneous-solutions-to-radical-equations

Assignments
1) Pages 503-504 #'s 19-35 odd; 39-45 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We used a practical application of percents today by calculating percent of change.  When we get a negative answer, it means we have a decrease so negative answers are perfectly fine.

Recall that percent of change is calculated as follows:

Sections Covered in Textbook
1) 9-10: Percent of Change (pages 354-355)

Video Tutorials
1)  What is percent of change?
http://mmu.virtualnerd.com/viewtutorial/Alg1_4_18

Assignments
1) Page 355 #'s 10-18 all

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

May the 4th Be With You....

Algebra I

Today we discussed
We expanded on our discussion of simplifying radicals and discussed how to mathematically remove radicals from the denominator of a fraction.  For an expression to be in simplest form, there must be no radicals in the denominator. We discussed what a conjugate is, and also how to simplify radical expressions so that they may be added or subtracted.

Sections Covered in Textbook
1) 12-5: Simplifying Square Roots - part 2 (pages 494-496)
2) 12-6: Adding and Subtracting Radical Expressions (pages 497-500)

Video Tutorials
1) Simplifying radical expressions using the conjugate.
https://www.youtube.com/watch?v=7oWUgtFneco
2) Combining radicals
http://www.virtualnerd.com/algebra-1/radical-expressions-equations/operations/adding-subtract/subtract-unlike-radicands

Assignments
1) Absolute Value Graphing Activity.
Download worksheet here.
Download graph paper here.
2) Page 496 #'s 39-53 odd
3) Pages 499-500 #'s 17-39 odd; 40 & 41

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Today we reviewed percent proportions and setting them up to solve them. Then we discussed what a discount is and what interest is, and how to calculate it.

Recall:  Interest = principal * rate * time
principal  = amount of money invested
rate = percentage rate expressed as a decimal, so 2% = 0.02
time = amount of time in years, so 6 months would be 0.5 years

Sections Covered in Textbook
1) 9-8: Discount and Interest (pages 349-351)

Video Tutorials
1) Percent Discount
https://www.youtube.com/watch?v=b82OUB_30lI
2)  Finding Simple Interest
http://www.virtualnerd.com/algebra-1/linear-equations-solve/isolate-variables-formulas-examples/formulas-examples/simple-interest-formula-definition

Assignments
1) Percent Problems Worksheet - set up the proportion for each problem.  Solving is optional.
Download worksheet and answers here. 
2) Page 351 #'s 8-19 all

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Hello May! Concepts for May 2nd

Algebra I

Today we discussed
Today we talked about the Pythagorean theorem and the relationships between the legs of a right triangle and its hypotenuse.  In addition, we worked on simplifying radical expressions using the product and quotient properties of square roots.

Sections Covered in Textbook
1) 12-5: The Pythagorean Theorem (pages 482-486)
2) 12-5: Simplifying Square Roots - Part 1 (pages 492-495)

Video Tutorials
1) What is the Pythagorean Theorem?
http://www.virtualnerd.com/pre-algebra/real-numbers-right-triangles/pythagoream-theorem/right-triangles-pythagorean-theorem/pythagorean-theorem-definition
2) How to simplify radicals using the product property
http://www.virtualnerd.com/algebra-1/radical-expressions-equations/simplify/multiply-divide/square-root-non-perfect-square-simplification
3) What is the Quotient Property of Square Roots?
http://www.virtualnerd.com/pre-algebra/real-numbers-right-triangles/squares-square-roots/squares-square-roots-properties-definitions/square-root-quotient-property-definition

Assignments
1) Page 485 #'s 17-33 odd; 39
2) Page 495 #'s 19-37 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We reviewed using the percent proportion to solve problems. From there we went though  comparison of fractions, decimals and percents and how to convert numbers among these formats.

Sections Covered in Textbook
1) 9-5: Fractions, Decimals and Percents (pages 338-341)

Video Tutorials
1)  Turning percents into fractions
http://www.virtualnerd.com/pre-algebra/percents/decimals/basics/fraction-conversion
2)  Turning decimals into percents
http://www.virtualnerd.com/pre-algebra/percents/decimals/basics/decimal-to-percent-conversion
3) Fractions, Decimals and Percents
https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates/pre-algebra-percent-decimal-conversions/v/representing-a-number-as-a-decimal-percent-and-fraction

Assignments
1) Worksheet on Percents.
Download worksheet and answers here.
2) Pages 340-341 #'s 21-57 divisible by 3 (so, 21, 24, 27, 30, 33, etc...)

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Goodbye April.... Topics for April 27th

Algebra I

Today we discussed
Our discussion has moved into roots and radicals.  We discussed what a square root is and reviewed all our perfect squares from 1 to 144.

Sections Covered in Textbook
1) 12-2: Square Roots (pages 477-481)

Video Tutorials
1) Finding the square root of a perfect square
http://www.virtualnerd.com/sat-math/fundamentals/exponents-square-roots/perfect-square-square-root
2) How to find the square root of a fraction
http://www.virtualnerd.com/algebra-1/algebra-foundations/powers-square-roots/square-roots/fraction-square-root

Assignments
1) Chapter Test on Page 471 #'s 1-16 all
2) Page 480 #'s 27-53 odd.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We took our discussion of proportions and included the special proportion for percents.  Remember per-cent means per-100 or out of 100.   You are comparing a percentage of a base number with 100.

Sections Covered in Textbook
1) 9-4: Using the Percent Proportion

Video Tutorials
1) What is a percent proportion?
http://www.virtualnerd.com/middle-math/ratios-proportions-percent/percent-number/percent-proportion-definition
2) Using the percent proportion to find a part of a whole.
http://www.virtualnerd.com/middle-math/ratios-proportions-percent/percent-number/proportion-for-part-of-whole

Assignments
1) Chapter 8 Test.
Download Test Here.
2) Set 9C on Page 608 #'s 1-10 all

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK