1. Day Two Calculator Fundamentals Algebra

2. Calculator Use it! Scientific or Graphing (No Qwerty) Does Order of Operations Correctly Clear button Paper first (plan-execute-check)

3. Basic Fundamentals Positive and Negative Integers Odd and Even Digits Factors and Multiples Remainders

4. Basic Fundamentals Consecutive Integers Prime Numbers Symbols Operations Distribution

5. 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

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

7. Ratios, Proportions, and Percents

8. Averages Make Average Pie Median and Mode Probability of x = (number of outcomes x) total number of possible outcomes Permutations

9. 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)

11. 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

12. 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 sign Simplifying p191

13. FOIL Combining like terms first Quadratic Solutions Factoring Quadratics ETS Favorites p195 Absolute Value (Joe alert!)

14. 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 them Functions – plug away

15. “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

16. 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.

17. Algebra Main Points Use “easy” numbers PIYA With inequalities, try more than one number SAT 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.