Suggested List of Mathematical Language
Integrated Algebra
Problem Solving
algebraically concept conjecture constraint equivalent formulate generalization graphically multiple representations numerically parameter pattern relative efficiency strategy verbally
Reasoning and Proof
appropriate approximation argument claim conclusion conjecture counterexample explain inductive reasoning logical argument mathematical conjecture proof refute systematic approach validity Venn diagram verify
Communication
accuracy analyze argument coherent communicate comprehension conclusion conjecture decoding elicit equation evaluate extend formula function graph interpretation mathematical visual rationale standard (mathematical) notation strategy table technical writing terminology valid
Connections
coherent whole concept connection formulate physical model procedure quantitative model representation
Representationangle of elevation array chart compare diagram equation function graph interpret mathematical phenomena organize physical phenomena profit record social phenomena symbol table technology translate
Number Sense and Operations
absolute value algebraic problem arithmetic operation arrangements (permutations) associative property closure property commutative property counting techniques decimal denominator discount distributive property exponential expression expression factorial field fraction Fundamental Principle of Counting group identity property inverse property like/unlike radical terms number theory numerator percent of increase/decrease product properties of the Real numbers proportionality/direct variation quotient radical radicand real numbers scientific notation simplest form variable
Algebra
acute angle adjacent side/angle algebraic equation algebraic expression algebraic fraction analyze axis of symmetry binomial coefficient common base complement of a subset coordinates cosine dependent difference of two perfect squares element equation exponent exponential growth and decay expression factoring fractional expression greatest common factor (GCF) hypotenuse independent variable inequality integer integral coefficient integral exponent integral root(s) intersection of sets interval notation lead coefficient legs of a right triangle line parallel to the x or yaxis linear equation in one variable linear inequality in one variable literal equation lowest terms fraction monomial multiplication property of zero opposite side/angle parabola parallel polynomial product properties of exponents proportion Pythagorean Theorem quadratic equation quantitative quotient ratio relation right angle right triangle root(s) of an equation roster form set setbuilder notation sine slope solution set subset sum system of linear inequalities systems of linear equations tangent translate (from verbal to symbolic) trigonometry trinomial undefined union of sets universal set variable verbal expression verbal sentence vertex xaxis yaxis
Geometry
absolute value function angle area axis of symmetry of a parabola circle coefficient cylinder decagon exponential function function generalize geometric shape graph of a relation hexagon investigate nonagon octagon ordered pair parabolic function parallelogram pentagon perimeter polygon quadrilateral quartercircle rational coefficient rectangle rectangular solid regular polygon relation rhombus roots of a parabolic function sector of a circle semicircle spatial reasoning square surface area trapezoid triangle vertex visualization volume
Measurement
appropriate unit conversion cubic unit error linear measure linear unit magnitude measurement system rate relative error square unit unit
Statistics and Probability
appropriateness biased bivariate boxandwhisker plot calculated probability categorize causation central tendency complement conditional probability correlation cumulative frequency distribution table cumulative frequency histogram data dependent events dependent variable element empirical probability experimental design extrapolation favorable event finite sample space five statistical summary frequency distribution table histogram independent events independent variable interpolation line of best fit linear transformation maximum mean measure of central tendency median minimum mode mutually exclusive events not mutually exclusive events percentile rank probability qualitative quantitative quartiles (specifically: first, second, third or lower, middle, upper) range sample space scatter plot series univariate
