Day TwoCalculator

FundamentalsAlgebra

Calculator

Use it!Scientific or Graphing (No Qwerty)Does Order of Operations CorrectlyClear buttonPaper first (plan-execute-check)

Basic Fundamentals

Positive and NegativeIntegersOdd and EvenDigitsFactors and MultiplesRemainders

Basic Fundamentals

Consecutive IntegersPrime NumbersSymbolsOperationsDistribution

Basic Fundamentals

Fractions = Division◦Add and subtract◦Multiplication◦Division◦Reducing◦Conversion: Mixed and improper◦Weirdness (Woe is Joe)

OJO! Mixed fractions will be marked wrong

Decimals◦Just a fraction◦Careful with the Calculator◦Comparing (left to right)◦Joe effect (place more important than value)

Ratios, Proportions, and Percents

x/y = the ration of x to y = or x:yRatio is part:partFraction is part:whole indirect variationPercentages are fractions

◦ = = x percentMemorize 1, 10, 20, 25, 50, 75 %Conversion 80% or 3/4

Averages

Make Average PieMedian and ModeProbability of x =

(number of outcomes x) total number of possible outcomesPermutations

Exponents and Square Roots◦Calculator◦Multiply◦Divide◦Raise a power to a power◦Joe effect (addition and subtract, parenthesis)◦Peculiar behavior (greater and less than one,

pos/neg)

◦* = ◦ =

◦Negative and fractional exponents

Algebra

Write it out◦14 is 5 more than some number.◦If one-fourth of a number is 3, what is one-half

of the same number?◦Is, of, times, product, what or unknown value,

more, sum, less, difference, ratio, quotient

Algebra: Basic Training

What ever you do to the left of the = you do to the right

“Is there a quick solution?”Inequality: when you multiply or divide by

a negative, switch the signSimplifying p191

FOILCombining like terms firstQuadratic SolutionsFactoring QuadraticsETS Favorites p195Absolute Value (Joe alert!)

Algebra: How to avoid it

PITA◦Numbers in the answer choices◦Specific: “what was the first payment◦You have the urge to write out algebra

PIYA◦Pick a number for the variable◦Use your number to solve◦Use your number in the answer choices◦Which ones? Small and nice (2,10,100)

Radicals and fractions – get rid of themFunctions – plug away

“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.”  ~John Louis von Neumann

Work for next time –Finish the multiple choice pp. 305-313

Algebra Main Points

Find the trick, do not directly solve for x or y unless you have to.

Try factoring or expanding expressions to find an answer

Simultaneous equations, you should add or subtract the equations

When the question has number answers, PITA – plug in the numbers to find the answers.

If the answers have variables, plug your numbers.

Algebra Main Points

Use “easy” numbers PIYAWith inequalities, try more than one numberSAT Function problems are simply “Simon

Says” follow the pattern for the funny symbol

Domain is what goes into a function, and range is what comes out. No zeros.

Translate word problems into equations and solve.