
Suggested List of Mathematical Language
Algebra 2 & Trigonometry
Problem Solving
algebraically alternate approach collaborate conjecture constraint critique equivalent evaluate explain formulate generalization graphically interpret multiple representations numerically observe parameter strategy verbally
Reasoning and Proof
argument axiom conclusion conjecture counterexample discover exact answer explain explore general case inductive reasoning informal indirect proof investigate justify refute specific result theorem
Communication
accuracy appropriate challenge chart coherent comprehension conjecture decoding diagram equation formula function graph interpretation logical argument mathematical representation numerical tables organize outline rationale reflect standard notation strategy symbol technical writing terminology validity verbal explanation written explanation
Connections
concept conclusion formulate multiple representation physical model procedure quantitative model representation
Representationalgebraic representation apply chart communicate compare concept diagram equation explore graph graphical representation investigate mathematical phenomena multiple representations organize physical object physical phenomena recognize record social phenomena symbol table technology translate
Number Sense and Operations
a+bi form absolute value complex fraction complex number conjugate direct variation e fractional exponent i imaginary number index of a radical inverse variation irrational number negative exponent nth root operation pi powers of i principal square root procedure radical radical form radicand rational number rationalize a denominator real number scientific notation sigma sigma notation
Algebra
abscissa absolute value absolute value equation absolute value function absolute value inequality adjacent angles adjacent sides algebraic expression algebraic representation ambiguous case amplitude analyze angle angle in standard position angle of depression angle of elevation antilogarithm approximate value arc length arccosine arcsine arctangent area of a parallelogram using SAS area of a triangle using SAS arithmetic sequence arithmetic series asymptote base base of a logarithmic function base of an exponential function binomial expansion binomial theorem center-radius equation of a circle central angle circle circular functions coefficient cofunctions common base(s) common difference common factor common logarithm common ratio completing the square complex fractional expressions composition of functions compound interest constant function cosecant cosine cotangent coterminal angles degree of a polynomial difference of two perfect squares direct variation discriminant domain double and
half angle formulas for double root e equation equivalent forms exact value expand a binomial explicit definition exponential form exponential function extraneous root factor fractional exponent frequency (of a periodic function) function function notation geometric sequence geometric series graphical solution of equations greatest common factor (GCF) growth factor half-life horizontal-line test i identities initial side of an angle inverse function inverse trigonometric functions inverse variation Law of Cosines Law of Sines laws of exponents laws of logarithms linear equation linear expression linear system logarithm logarithmic form lowest terms nature of the roots negative exponent nth root nth term one cycle of a trigonometric function one-to-one function onto opposite side in a right triangle ordinate parabola parameter period (of a function) periodic function phase shift polynomial expression polynomial function powers of i Pythagorean identities quadrantal angle quadratic equation quadratic formula quadratic inequality quadratic trinomial radian radical equation radical expression radius range (of a function) rational coefficient rational equation rational expression rational inequality rationalize denominators reciprocal trigonometric functions recursive definition reference angle relation replacement set represent restricted domain resultant right triangle trigonometry root of an equation secant (of an angle) sigma notation sine solution set standard position (of an angle) subset sum and
product of roots of a quadratic sum of a geometric series sum of an arithmetic series sum or
difference formulas for system of equations/inequalities tangent (of an angle) technology terminal side of an angle transformation
transformations of functions and trigonometric equation trigonometric functions unit circle variable vector vertical line test zero of a function zero product property
Geometry
absolute value absolute value equation absolute value inequality angle in standard position angle of depression angle of elevation area of a parallelogram using SAS area of a triangle using SAS circle coefficient function generalize
geometric representation of the
circular graph of a relation graphical representation graphical solution of equations investigate ordered pair parabola rational coefficient rectangular coordinates relation root of an equation sector of a circle slope triangle vertex visualization
Measurement
arc length degree measure measure of central angle minute radian measure
Statistics and Probability
at least at most Bernouli experiments biased sample bimodal binomial probability formula bivariate data central tendency combination compound event conjecture controlled experiment correlation coefficient Counting Principle exactly experimental probability extrapolate frequency (of a data set) frequency distribution grouped frequency distributions index in statistics interpolate interquartile range least squares regression line line of best fit linear regression mean measure of central tendency measures of dispersion median mode normal curve normal distribution observation outlier Pascal's Triangle percentile permutation probability quartiles random sample range (of a data set) regression equation regression model sample space scatter plot standard deviation (population) standard deviation (sample) statistics survey technology theoretical probability univariate data variance (population) variance (sample)
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