SECTION | TOPIC | "CALCULATOR" | TIPS & NOTES |
---|---|---|---|
1.1 | arithmetic operations
Operations | Calculator's + - * / x^{2} ( ) ± = | absolute value of difference=distance |
1.1 | PEMDAS etc | mathpapa. | Multiply:* or () Divide:/ Exponent:^2 |
1.2 | prime factorization | calculatorsoup: Prime Factors | primes<64K primes5M.png |
1.2 | multiples of an integer | calculatorsoup: Multiples | |
1.2 | least common multiple (LCM) | calculatorsoup: Least Common Multiple (LCM) | |
1.2 | factors of an integer | calculatorsoup: Factoring | |
1.2 | greatest common factor (GCF) | calculatorsoup: Greatest Common Factor (GCF) | |
1.3 | convert Mixed number to Improper fraction | mathpapa. | 5 2/3 Step-By-Step |
1.3 | convert Improper to Mixed number | calculatorsoup: Simplifying Proper and Improper Fractions | fractions fractions |
1.3 | convert Mixed number to Decimal | mathpapa. | |
1.3 | convert fraction to Decimal | mathpapa. | |
1.3 | convert Decimal to fraction | calculatorsoup: Decimal to Fraction | |
1.3 | compare two fractions | calculatorsoup: Comparing Fractions | |
1.3 | fraction calculator | mathpapa. | |
1.4 | square rooting | Calculator's √ | number first, then the √ |
1.4 | root arithmetic | mathpapa | sqrt
roots
rootX
Mult. table
Real numbers |
1.5 | exponentiation/powers | Calculator's x^{2} x^{3} x^{y} | Exponent rules Exponents more exponent.docx |
1.5 | reciprocal | Calculator's 1/x |
ASCII
googol=10^{100}= 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 googolplex=10^{googol}= 1 followed by a googol 0's (fill up universe) |
1.5 | scientifc notation converter | rapidtables: Scientific notation converter | limited range. No commas in/out |
1.5 | scientifc notation calculations | rapidtables: Scientific Notation Calculator | +-*/ of 2 sci. not. nos. |
2.1 | algebraic expression evaluation | mathpapa | p.67 #1: 5x^{2}+2y @ x=3; y=7 Alg expr |
2.2 | simplifying algebraic expressions | mathpapa | |
2.3 | solving linear equations | mathpapa | then add @x=solution |
2.4 | literal equations: solve for another variable | mathpapa | tell which variable to solve for. It lowercases all. |
3.1 3.2 | word problem --> linear equation | mathpapa | solves the resulting linear equation
atmosphere |
3.3 | units, ratios, rates, linear proportions | mathpapa | solves the resulting linear equation |
3.4 | percent problems. A=PB.
Increase/decrease:final-first=Pfirst (first=B, A=final-first). Markup: S=B+A (B=base, A=markup). Dscount: S=B-A (B=base, A=discount|markdown) | mathpapa | solves the resulting linear equation |
3.5 | (linear) inequalities | mathpapa | <= >= (MP can @x= evaluate single inequality but not two.) |
4.1 | monomial*polynomial, binomial*binomial (FOIL) | mathpapa. | (ax+b)(cx+d)=acx^{2}+(ad+bc)x+bd |
4.2 | factoring: 1.common factor 2.quadratic trinomial into two linear binomial factors and also solve quadratic equation | mathpapa. | "standard form": ax^{2}+bx+c=0 |
4.3 | quadratic formula
| mathpapa. | calculate the solutions for (approx.) decimal value
gravity |
5.1 | plot points in xy plane. | mathpapa. | (x1,y1);(x2,y2) ... 10x10 graph 2x2 graph (zoom in browser) |
5.1 | evaluate function | mathpapa. | =y (f(x)doesn't work) @x= |
5.1 | graphing linear and quadratic functions | mathpapa. | y= xmin xmax ymin ymax to change viewport. Many:f1;f2;f3 |
5.1 | graphing linear and quadratic functions | Symbolab. | zoomable dragable graph. important points. |
Linear functions & equations, examples | |||
5.2 | linear equation 2 vars.≡linear function
Ax+By+C=0 ≡ y=mx+b ≡ f(x)=mx+b | mathpapa. | slope: m, y-intercept: b
0=mx+b solve to get x-intercept, or -b/m. |
5.3 | solving and graphing systems of linear equations. | mathpapa | Solve [& evaluate a point]: EQ1;EQ2 [@(a,b)] Graph. |
5.4 | quadratic function f(x)=ax^{2}+bx+c | mathpapa | a>0:up, a<0:down.
|a| small:wide,shallow. |a| large:narrow,steep. vertex (min or max) x:-b/2a y:f(-b/2a)=c-b^{2}/4a x-intercepts (if any) Solutions: 0=ax^{2}+bx+c y-intercept=c. |
Quadratic functions, examples | |||
5.4 | quadratic function | Symbolab | |
5.5 | exponential functions | mathpapa OR Calculator: x^{y} to evaluate. 1 Inv e^{x} for e | |
Exponential functions, examples | |||
5.6 | logarithmic functions | Mathpapa OR Calculator: x log or ln to evaluate | log scale
earthquake data earthquake graph |
6.1 | simple interest | Simple interest calculator | |
6.2 | compound interest | Compound interest calculator | |
6.3 | annuities | Annuity calculator | worksheet |
6.4 | mortgages | Mortgage calculator | worksheet |
7.1 | counting: fundamental, permutations, combinations | Permutations & Combinations calculator | permutations combinations |
7.2 | probability | coin & die flipping experiments | card hand generator
birthdays |
8.1 8.2 8.3 | frequency distribution, histogram and stats | freq dist, histogram, stats
freq dist-->data | middles
Generate random data distributions |
8.2 8.3 | mean & standard deviation | Calculator: View|Statistics: Add the x_{i} Then ∑ x̄ σ_{n-1} | |
8.4 | normal distributions, z-scores | x-->Z-score-->CDF | graph Normals in Mathpapa. |
8.5 | correlation | correlation, scatter plot, regression line | examples
1969 draft
data
Anscombe's quartet |
Windows Calculator tips:
View | Scientific
View | History
View | Digit grouping (optional, to see the ,s)
number, then ± x^{2} √ log ln n! 1/x
Practice Exam (Word doc) answers
graph papers for printing
Generate normal distro w/Galton board
Generate normal distro w/coin flips
BLS occupations Excel