Math

• FREE College Books https://courses.candelalearning.com/catalog/lumen

• Basic Math Symbols http://www.rapidtables.com/math/symbols/Basic_Math_Symbols.htm

• Math Worksheets: http://www.math-aids.com/Addition

• Calculators: https://www.calculator.com

Information about Cards - 52 playing cards are in each deck

This information is from Wikipedia http://en.wikipedia.org/wiki/Playing_card

Spades

Hearts

Diamonds

Clubs

Sometimes you are asked about "One Eyed Jacks" here is a Picture

Jack of Spades (J♠), Jack of Hearts (J♥) but this applies to King, Queen & Jacks

https://en.wikipedia.org/wiki/List_of_playing-card_nicknames#One-eyed_royals

LOGIC - Boolean, Set Theory, Venn Diagrams

Khan Academy - Venn Diagrams

Intro to Sets https://www.youtube.com/watch?v=jAfNg3ylZAI

Set Operations https://www.youtube.com/watch?v=OCNXS_m1HWU

Probability and Venn Diagrams (2 videos) https://www.khanacademy.org/math/precalculus/prob-comb/addition-rule-prob-precalc/v/addition-rule-for-probability

Solving Problems with Venn Diagrams by Math-is-Power https://www.youtube.com/watch?v=MassxXy8iko

Problem Solving with Venn Diagrams (Cardinality of Complement) https://www.youtube.com/watch?v=zEQl4OmFEM0

Dan explains the Question: When to Add and When to multiply??

Suppose we roll two dice and want to find the probability of rolling a sum of 6 or 8.

This can be written in words as P(6 or 8) or more mathematically is P(68).

Remember that OR (the union symbol ) means that one or the other or both events can happen.

So what is the probability of getting a 6 or an 8 or both?

I always use a table like this when rolling two dice:

The key word is OR. This tells us to ADD the probabilities

P(6) = 5/36

P(8) = 5/36

do the P(68) = 5/36+5/36 or 10/36

Then

How about P rolling a 5 AND an 8? The key word here is the AND . This means we need to multiply the probabilities

P(6)*P(8) or 5/36*5/36 or 25/1296.

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Word Problems with % and Decimal

The interest rate at First National Bank of Anytown increased by 20% to 2.4% what was the interest rate before the increase ?

STEP 1

To make it easier to do on a calculator or spreadsheet let's convert the %'s to decimals

20% becomes .20 (you move the decimal two places to the left)

2.4% becomes .024

To begin the process of being comfortable with numbers and math, let's start with something you are familiar with ... money.

If you are not comfortable with conversion think of %'s and decimals as $$ money

20% of a $1.00 = 20 cents or 2 dimes. Each dime is 10% or 10 cents of a dollar

2% of a $1.00 = 2 cents or 2 pennies. Each penny is 1% or 1 cent of a dollar

Now ... let's take this word problem and cross out all the english that is not needed for math.

The interest rate at First National Bank of Anytown increased by 20% to 2.4%

Here you have to understand that when they say it "Increased by 20% to 2.4%

they actually are saying ....... The 20% increase + the previous rate = 2.4%

you can say it another way ............ 20% + 1 = 2.4%

use conversions above ................ .20 + 1 = .024

we can add .................................. 1.20 =.024

Now we put in the interest ............ Int * 1.20 = .024

to isolate the interest

it is MULTIPLIED so we

must DIVIDE ............................ Int = .024 / 1.20

When you divide this you get the correct ORIGINAL interest

it will be in decimal form so use STEP 1 to convert it to %

If you are not comfortable with math and conversions, I highly recommend watching some YouTube Videos Khan is good and widely known by teachers but there are many, find one that speaks to you, and watch them every time you get anxious - you can watch them as many times as you want to become comfortable - Math is a good skill to have - it takes practice)

Khan Percentage of a whole number https://www.youtube.com/watch?v=-lUEWEEpmIo

Khan Converting percent to decimal and fraction https://www.youtube.com/watch?v=-gB1y-PMWfs

Math Antics Percentages https://www.youtube.com/watch?v=JeVSmq1Nrpw

eHowEducation Decimals, Fractions, Percents https://www.youtube.com/watch?v=s9mKcJ5iZbw