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Data, Statistics, & Probability analyze data bar graph box and whisker plots calculate expected values central tendency (mean, median, mode) circle graphs collecting data combinations and permutations comparisons and inferences concrete materials conducting a sample space create problems determine probability of outcome/possible outcomes for given situation displaying data experimental data experimental probability faulty arguments, common errors, misleading presentations gather data graphing histograms independent and dependent events interpret data line graph matrices measure of certainty money numerical data organize data outliers picture graph predictions and conclusions probability as "chance" probability as a ratio, decimal, or percent probability of simple or compound event problem solving random processes range (dispersion) ratio, decimal, percent, and proportion represent data sample surveys scale increments scatter plots sets of data single count or measurement variable statistical data stem and leaf plots tables theoretical probability tree diagrams venn diagrams K 1 2 3 4 5 6 Pre7 Algebra Algebra IA Algebra IB Algebra I Algebra II Geometry Integrated College PreMath Algebra III Calculus Calculus Algebraic Concepts, Reasoning, and Patterns absolute value equations and inequalities algebraic expressions and equations arithemetic and geometric sequences associative property coefficient commutative property compare linear, quadratic,a nd exonential models and solve problems composition of multiple functions connections between any two representations convert between a graph, a table, and symbolic form with functions convert functions coordinates of a point dependent and independent variable distributive property division domain or range values for linear functions domain or range values for linear functions equality relationships equation of a line equations of linear functions equivalent expressions evaluate and compare functions exponents factor pairs formulas for surface area and volume of objects function table functions geometric shape and concrete object patterns graph linear functions and linear inequalitites in two variables graph solutions to inequalities on number line graphing inequalities graphing linear equations graphs identify, extend, and create patterns identity property inverse of a function inverse properties inverse relationship between exponential and logarithmic functions and use this relationship to solve problems inverse variation law of sines and law of cosines linear and quadratic functions linear relationships literal equations (formulas) mathematical relationships using equation mathematical sentence missing dimension K 1 2 3 4 5 6 Pre7 Algebra Algebra IA Algebra IB Algebra I Algebra II Geometry Integrated College PreMath Algebra III Calculus Calculus missing elements multiplication multiplicative property of zero multi-step linear equations non-linear systems numerical patterns numerical sentences one and two step linear equations one- step linear equations one-step inequalities perfect squares perimeter and area polynomial identities polynomials problem solving problem solving with patterns properites of isosceles triangles properties of operations properties of parallel and perpendicular proportional relationships, lines, and linear equations Pythagorean Theorem and its converse quadratic equations radical expressions with rational exponents rational expressions and equations ratios and proportions represent verbal quantitative situations algebraically and evalutate them representations of functions and convert between a graph, table, and symbolic form right triangle trigonometry right triangles; problem solving rules scientific notation shape of polynomial, exponential, and lgarithmic functions- use in graph and problem solving simultaneous linear equations single matrix equation with a vector variable solve problems involving patterns solve problems using logical reasoning solve problems using ratio and proportions solve problems using systems of linear inequalitiies and linear programming solve system using inverse matrix method sort and classify special right triangles square roots story problems tables two-step linear inequalities use formulas for finding distance, midpoint, and slope to solve problems use graphs to explain relationships between the solution of an equation, zero of a function, xintercept of a graph, and factors of a polynomial expression value of a function variable expressions variables visual patterns Computations absolute value addition algorithms associative property commutative property complex fractions complex numbers complex plain coordinates of a point decimals develop and analyze algorithms for computing with fractions, decimals, and intergers and develop fluency in their use division equation of a line estimation find missing dimension formulas for distance, midpoint, and slope formulas for surface area dn volume of 3D objects fractions fractions- like and/or unlike denominators fractions-equivalent integral exponents inverse operations law of cosines law of sines laws of exponents matrices matrix multiplication mental math mixed numbers multiplication multi-step ratio and percent problems multi-step word problems order of operations percent increase or decrease perfect square perimeter and area of 2D figures problem solving properties of isosceles triangles properties of parallel and perpindicular lines Pytagorean Theorem radical form rational exponents rational expressions rational numbers regrouping right trianles scientific notation simplest form solve problems with whole numbers, integers, fractions, mixed numbers with like and un-like denominators, decimals, and answers in simplest form square root subtraction symbolic notation triangle trigonometry variables vectors K 1 2 3 4 5 6 Pre7 Algebra Algebra IA Algebra IB Algebra I Algebra II Integrated Geometry Math College PreAlgebra III Calculus Calculus Geometry & Measurement K angles apply geometric ideas and relationships in areas outside math classroom area asymptotes bisectors calendar capacity chord circles and rectangles circumference classify and draw angles combining and subdividing shapes comparing value congruency conic sections from equations consecutive sides conversion of measurement coordinate grid coordinate plane coordinate proofs customary and metric measurement diagonals diameter domain of trigonometry functions using unit circle drawing shapes elapsed time estimation factorization flat congruent figures flat shapes geometric constructions geometric transformations graphing identifying zeros length line segments lines (includes parallel, intersection, perpendicular) location of shapes in space measures angles money non standard units of measurement ordered pair parallel and perpendicular lines perimeter periodic phenomena with trigonometric functions pictoral models/representations plane figures points polygons problem solving proofs pythagorean identity and use to find sine, cosine, and tangent. pythagorean theorem 1 2 3 4 5 6 Pre7 Algebra Algebra IA Algebra IB Algebra I Algebra II Geometry Integrated College PreMath Algebra III Calculus Calculus quadrants/quadrant plane quadrilaterals radius rational functions ratios and proportions rays recognizing shapes scale drawings secants similar figures solid shapes/ figures solve simple equations for unknown angle standard units of measurement supplementary, complementary, vertical, ajacent angles surface area symmetry tangents temperature time tools of measurement triangle inequality properties triangles trigonometric identities two and three dimensional shapes/ objects use of ruler vectors vertices volume volume formulas weight Data, Statistics, & Probability analyze data bar graph box and whisker plots calculate expected values central tendency (mean, median, mode) circle graphs collecting data combinations and permutations comparisons and inferences concrete materials conducting a sample space create problems determine probability of outcome/possible outcomes for given situation displaying data experimental data experimental probability faulty arguments, common errors, misleading presentations gather data graphing histograms independent and dependent events interpret data line graph matrices measure of certainty money numerical data organize data outliers picture graph predictions and conclusions probability as "chance" probability as a ratio, decimal, or percent probability of simple or compound event problem solving random processes range (dispersion) ratio, decimal, percent, and proportion represent data sample surveys scale increments scatter plots sets of data single count or measurement variable statistical data stem and leaf plots tables theoretical probability tree diagrams venn diagrams K 1 2 3 4 5 6 Pre7 Algebra Algebra IA Algebra IB Algebra I Algebra II Geometry Integrated College PreMath Algebra III Calculus Calculus