That's a Wrap! Concepts for our Final Class!

Algebra I

Today we discussed
Today we practiced our quadratic graphing and used the discriminant to determine the nature of our roots.  From there we discussed direct and inverse variation.

Sections Covered in Textbook
1) 4-8: Direct Variation (pages 162-165)
2) 4-9: Inverse Variation (pages 166-169)

Video Tutorials
1) What is direct variation?
http://www.virtualnerd.com/algebra-1/linear-equation-analysis/direct-variation/direct-variation-definition/direct-variation-proportionality-formula
2) What is inverse variation?
http://www.virtualnerd.com/algebra-1/rational-expressions-functions/inverse-variation/inverse-variation-examples/inverse-variation-indirect-proportionality-formula

Assignments
1) Please complete the Virginia State Algebra Exam.  This is a VERY large file there are 50 problems and only one problem per page.  I suggest using your computer to download this file and work your problems out on a separate sheet of paper.  There is one concept we did not cover:  standard deviation.  Just do the best you can on those - I will not be counting those problems.  Please record your answers on the answer sheet and submit it to me by no later than noon on Monday, May 29th.  Good luck and thanks for a great year!

Download Exam here.
Download Answer sheet here.

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Pre-Algebra

Today we discussed
Today we discussed probability.  We talked about many different possible events including tossing coins, rolling dice and picking a card out of  deck.

Sections Covered in Textbook
1) 9-4: Probablity

Video Tutorials
1) What is probability?
http://www.virtualnerd.com/middle-math/probability-statistics/probability/definition-probability

Assignments
1) Exploring Probability by Rolling Two Dice activity.  Please complete and email to me by no later than noon on Monday, May 29th.  
Download Worksheet here.

HAVE A WONDERFUL SUMMER!!!

Almost Done! Topics for May 23rd

Algebra I

Today we discussed
Today we looked a little closer at the Quadratic formula at what is called the discriminant.  By analyzing the discriminant, we can know a lot about potential roots for a quadratic equation.

Sections Covered in Textbook
1) 13-6: Using the Discriminant

Video Tutorials
1) What is the discriminant
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/discriminant-quadratic-formula/discriminant/discriminant-definition
2) Use the discriminant to find the number of solutions to a quadratic equation
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/discriminant-quadratic-formula/discriminant/discriminant-determine-solution-number-example

Assignments
1) Pages 544-545 #'s 11-37 odd, 42

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Today we moved into a discussion about possible outcomes.  First we used tree diagrams to list our possibilities.  Then we used the counting principle to find the number of possibilities, and finally, we used the permutation and combination formulas to calculate outcomes.  Remember, a permutation is a list of possible outcomes in which the order matters (like a school schedule of classes) versus a combination where order does not matter (items on a pizza).

Sections Covered in Textbook
1) 11-1: Counting Using Tree Diagrams (pages 400-402)
2) 11-2:  Counting using Multiplication (pages 403-405)
3) 11-3: Permutations and Combinations (pages 407-409)

Video Tutorials
1) Using Tree Diagram to Count Outcomes
http://www.virtualnerd.com/texas-digits/texas-digits-grade-7/acquire-and-demonstrate-mathematical-understanding/display-explain-and-justify-mathematical-ideas-and/sample-space-count-outcomes-using-tree
2) Using Counting Principle to find outcomes
http://www.virtualnerd.com/algebra-2/probability-statistics/permutations-combinations/counting-outcomes/sample-space-count-outcomes-using-fundamental-principle
3) What is a factorial?
http://www.virtualnerd.com/pre-algebra/probability-data-analysis/permutations-combinations/factorials/factorial-definition
4) Permutation Formula
https://www.khanacademy.org/math/precalculus/prob-comb/combinatorics-precalc/v/permutation-formula
5) Combination Formula
https://www.khanacademy.org/math/precalculus/prob-comb/combinations/v/combination-formula

Assignments
1) Page 409 #'s 16-25 all, 29. 30, 32

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Topics for May 18th

Algebra I

Today we discussed
Today we investigated the Quadratic Formula.  We also reviewed three different ways to determine the roots of a quadratic equation:

1. Factor the equation
2. Complete the square
3. Use the Quadratic formula

Sections Covered in Textbook
1) 13-5: Solving quadratic equations by using the quadratic formula (pages 536-540)

Video Tutorials
1) Solving equations using the quadratic formula
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/discriminant-quadratic-formula/quadratic-formula/solve-by-quadratic-formula
2)  Using quadratic formula with irrational solutions
https://www.youtube.com/watch?v=Nwx4ZO9Hopk

Assignments
1) Page 539 #'s 21-37 odd, 45.  Also, pick two problems and solve by completing the square.  Ensure that your answers to both methods are the same.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
We continued on with our discussion about data sets and how our sets can have similarities, but also vary.  We used the range, maximum values, minimum values, upper and lower quartiles to build box-and-whisker plots to visually represent a data set.

Sections Covered in Textbook
1) 10-4: Measures of Variation (pages 374-377)
2) 10-: Box-and-Whiskers Plots (pages 378-381)

Video Tutorials
1)  What is the interquartile range?
http://www.virtualnerd.com/middle-math/probability-statistics/measures-variation/interquartile-range-definition
2) What is a Box and Whiskers Plot?
http://www.virtualnerd.com/pre-algebra/probability-data-analysis/central-tendency-variation/measures-variation/what-is-a-boxandwhisker-plot

Assignments
1) Page 380 #'s 4-22 all

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Concepts for May 16th

Algebra I

Today we discussed
Today we discussed how to use the method of completing the square to solve quadratic equations.  The goal is to get a perfect square trinomial so that we can take the square root of both sides of the equation to get the solution.

If the leading coefficient is more than 1, see example below.

We did not have time to work on these in class.

Also see video tutorial below for another example worked out.

Sections Covered in Textbook
1) 13-4: Solving Quadratic Equations by Completing the Square (pages 531-535)

Video Tutorials
1) Solving by Completing the Square
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/completing-the-square/completing-the-square-solutions/completing-the-square-solution-example
2) Completing the square when leading coefficient not equal to 1.
https://www.khanacademy.org/math/algebra/quadratics/solving-quadratics-by-completing-the-square/v/completing-the-square-to-solve-quadratic-equations

Assignments
1) Pages 534-535 #'s 17-39 odd; 40-43 all

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Today we learned how to put a large set of numbers into a format that is easy to read and understand - Stem and Leaf Plots.

Sections Covered in Textbook
1) 10-3: Stem and Leaf Plots (pages 371-373)

Video Tutorials
1) What is a stem and leaf plot?
http://www.virtualnerd.com/middle-math/probability-statistics/stem-leaf-plots/what-is-a-stemandleaf-plot
2) How do you read a stem and leaf plot?
http://www.mathplayground.com/howto_stemleaf.html

Assignments
1) Page 373 #'s 11-18 all; 22, 24

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

May 11th

Algebra I

Today we discussed
Today we moved back into a discussion about quadratic functions.  We reviewed what roots are and how they relate to the function's graph.  We also found the axis of symmetry as well as solved so we could find the coordinates of the vertex.

Sections Covered in Textbook
1) 13-1: Graphing Quadratic Functions (pages 518-522)

Video Tutorials
1) Find the axis of symmetry
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/graphing/graph-basics/axis-symmetry-example
2) How to graph a quadratic function
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/graphing/graph-basics/how-do-you-graph-a-quadratic-function

Assignments
1) Radicals Practice Worksheet - circled numbers only.
Download worksheet and answers here.
2) Pages 521-522 #'s 15-30 1st column only; 36-42 all

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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Pre-Algebra

Today we discussed
Our discussion moved into data, statistics and measures of central tendency.  We talked about three types of "averages" that we use that represent the data we are analyzing.

Sections Covered in Textbook
1) 10-1; Gathering and Recording Data (pages 363-365)
2) 10-2: Measures of Central Tendency (pages 367-370)

Video Tutorials
1) Finding the mean of a set of numbers:
http://www.virtualnerd.com/middle-math/probability-statistics/mean-median-mode-range/mean-data-set
2) Finding the median of a set of numbers:
http://www.virtualnerd.com/middle-math/probability-statistics/mean-median-mode-range/median-data-set
3) Finding the mode of a data set
http://www.virtualnerd.com/middle-math/probability-statistics/mean-median-mode-range/mode-data-set

Assignments
1) Chapter 9 Test
2) Page 369 #'s 10-26 all

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

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