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TX. 111.39.Algebra I, Adopted 2012 (One Credit).
Algebra I, Adopted 2012 (One Credit).
AI.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:AI.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
AI.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
AI.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
AI.10. Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. The student is expected to:AI.10 (A) Add and subtract polynomials of degree one and degree two.
AI.10 (B) Multiply polynomials of degree one and degree two.
AI.11. Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms. The student is expected to:AI.11 (B) Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
AI.12. Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:AI.12 (A) Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function.Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
AI.12 (E) Solve mathematic and scientific formulas, and other literal equations, for a specified variable.
AI.2. Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systeAI.2 (B) Write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1), given one point and the slope and given two points.
AI.2 (D) Write and solve equations involving direct variation.
AI.2 (I) Write systems of two linear equations given a table of values, a graph, and a verbal description.
AI.3. Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, eqAI.3 (A) Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1).
AI.3 (C) Graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems.
AI.3 (D) Graph the solution set of linear inequalities in two variables on the coordinate plane.
AI.3 (F) Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist.
AI.3 (G) Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems.
AI.5. Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is expected to:AI.5 (A) Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.
AI.5 (B) Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.
AI.5 (C) Solve systems of two linear equations with two variables for mathematical and real-world problems.
AI.9. Exponential functions and equations. The student applies the mathematical process standards when using properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations and evaluateAI.9 (B) Interpret the meaning of the values of a and b in exponential functions of the form f(x)= ab^x in real-world problems.Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
TX. 111.40.Algebra II, Adopted 2012 (One-Half to One Credit).
Algebra II, Adopted 2012 (One-Half to One Credit).
AII.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:AII.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
AII.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
AII.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
AII.3. Systems of equations and inequalities. The student applies mathematical processes to formulate systems of equations and inequalities, use a variety of methods to solve, and analyze reasonableness of solutions. The student is expected to:AII.3 (A) Formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic.
AII.6. Cubic, cube root, absolute value and rational functions, equations, and inequalities. The student applies mathematical processes to understand that cubic, cube root, absolute value and rational functions, equations, and inequalities can be used to model sAII.6 (L) Formulate and solve equations involving inverse variation.Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
AII.7. Number and algebraic methods. The student applies mathematical processes to simplify and perform operations on expressions and to solve equations. The student is expected to:AII.7 (B) Add, subtract, and multiply polynomials.
AII.8. Data. The student applies mathematical processes to analyze data, select appropriate models, write corresponding functions, and make predictions. The student is expected to:AII.8 (C) Predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models.
TX. 111.41.Geometry, Adopted 2012 (One Credit).
Geometry, Adopted 2012 (One Credit).
G.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:G.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
G.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
G.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
G.11. Two-dimensional and three-dimensional figures. The student uses the process skills in the application of formulas to determine measures of two- and three-dimensional figures. The student is expected to:G.11 (C) Apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.
G.11 (D) Apply the formulas for the volume of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.
G.13. Probability. The student uses the process skills to understand probability in real-world situations and how to apply independence and dependence of events. The student is expected to:G.13 (A) Develop strategies to use permutations and combinations to solve contextual problems.
G.13 (C) Identify whether two events are independent and compute the probability
G.13 (E) Apply independence in contextual problems.
G.2. Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to:G.2 (B) Derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines.
G.3. Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlarG.3 (D) Identify and distinguish between reflectional and rotational symmetry in a plane figure.
G.5. Logical argument and constructions. The student uses constructions to validate conjectures about geometric figures. The student is expected to:G.5 (A) Investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and ext
G.6. Proof and congruence. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. TheG.6 (A) Verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicul
G.6 (C) Apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles.
G.7. Similarity, proof, and trigonometry. The student uses the process skills in applying similarity to solve problems. The student is expected to:G.7 (A) Apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles.
TX. 111.42.Precalculus, Adopted 2012 (One-Half to One Credit).
Precalculus, Adopted 2012 (One-Half to One Credit).
P.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:P.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
P.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
P.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
TX. 111.43.Mathematical Models with Applications, Adopted 2012 (One-Half to One Credit).
Mathematical Models with Applications, Adopted 2012 (One-Half to One Credit).
M.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:M.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
M.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
M.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
M.10. Mathematical modeling in social sciences. The student applies mathematical processes to design a study and use graphical, numerical, and analytical techniques to communicate the results of the study. The student is expected to:M.10 (A) Formulate a meaningful question, determine the data needed to answer the question, gather the appropriate data, analyze the data, and draw reasonable conclusions.
M.2. Mathematical modeling in personal finance. The student uses mathematical processes with graphical and numerical techniques to study patterns and analyze data related to personal finance. The student is expected to:M.2 (B) Solve problems involving personal taxes.
M.4. Mathematical modeling in personal finance. The student uses mathematical processes with algebraic formulas, numerical techniques, and graphs to solve problems related to financial planning. The student is expected to:M.4 (C) Analyze types of savings options involving simple and compound interest and compare relative advantages of these options.
M.8. Mathematical modeling in social sciences. The student applies mathematical processes to determine the number of elements in a finite sample space and compute the probability of an event. The student is expected to:M.8 (A) Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle.
M.8 (C) Use experiments to determine the reasonableness of a theoretical model such as binomial or geometric.
M.9. Mathematical modeling in social sciences. The student applies mathematical processes and mathematical models to analyze data as it applies to social sciences. The student is expected to:M.9 (A) Interpret information from various graphs, including line graphs, bar graphs, circle graphs, histograms, scatterplots, dot plots, stem-and-leaf plots, and box and whisker plots, to draw conclusions from the data and determine the strengths and weaknesses
M.9 (B) Analyze numerical data using measures of central tendency (mean, median, and mode)and variability (range, interquartile range or IQR, and standard deviation) in order to make inferences with normal distributions.
M.9 (F) Use regression methods available through technology to model linear and exponential functions, interpret correlations, and make predictions.
TX. 111.44.Advanced Quantitative Reasoning, Adopted 2012 (One-Half to One Credit)
Advanced Quantitative Reasoning, Adopted 2012 (One-Half to One Credit)
AQR.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:AQR.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
AQR.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
AQR.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
AQR.2. Numeric reasoning. The student applies the process standards in mathematics to generate new understandings by extending existing knowledge. The student generates new mathematical understandings through problems involving numerical data that arise in everyAQR.2 (C) Solve problems involving quantities that are not easily measured using proportionality.
AQR.2 (D) Solve geometric problems involving indirect measurement, including similar triangles, the Pythagorean Theorem, Law of Sines, Law of Cosines, and the use of dynamic geometry software.
AQR.2 (E) Solve problems involving large quantities using combinatorics.
AQR.4. Probabilistic and statistical reasoning. The student uses the process standards in mathematics to generate new understandings of probability and statistics. The student analyzes statistical information and evaluates risk and return to connect mathematicalAQR.4 (K) Describe strengths and weaknesses of sampling techniques, data and graphical displays, and interpretations of summary statistics and other results appearing in a study, including reports published in the media.
AQR.4 (L) Determine the need for and purpose of a statistical investigation and what type of statistical analysis can be used to answer a specific question or set of questions.
AQR.4 (P) Create data displays for given data sets to investigate, compare, and estimate center, shape, spread, and unusual features of the data.
AQR.4 (Q) Analyze possible sources of data variability, including those that can be controlled and those that cannot be controlled.
AQR.4 (R) Report results of statistical studies to a particular audience, including selecting an appropriate presentation format, creating graphical data displays, and interpreting results in terms of the question studied.
TX. 111.45.Independent Study in Mathematics, Adopted 2012 (One-Half to One Credit).
Independent Study in Mathematics, Adopted 2012 (One-Half to One Credit).
ISM.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:ISM.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
ISM.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
ISM.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
TX.111.46.Discrete Mathematics for Problem Solving, Adopted 2013 (One-Half to One Credit).
Discrete Mathematics for Problem Solving, Adopted 2013 (One-Half to One Credit).
DM.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:DM.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
DM.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
DM.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
TX.111.47.Statistics, Adopted 2015 (One Credit)
Statistics, Adopted 2015 (One Credit)
S.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:S.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
S.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
S.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
S.1 (G) Display, explains, or justifies mathematical ideas and arguments using precise mathematical language in written or oral communication.
S.2. Statistical process sampling and experimentation. The student applies mathematical processes to apply understandings about statistical studies, surveys, and experiments to design and conduct a study and use graphical, numerical, and analytical techniques S.2 (A) Compare and contrast the benefits of different sampling techniques, including random sampling and convenience sampling methods.
S.2 (E) Formulate a meaningful question, determine the data needed to answer the question, gather the appropriate data, analyze the data, and draw reasonable conclusions.
S.3. Variability. The student applies the mathematical process standards when describing and modeling variability. The student is expected to:S.3 (B) Construct a statistical model to describe variability around the structure of a mathematical model for a given situation.
S.3 (C) Distinguish among different sources of variability, including measurement, natural, induced, and sampling variability.
S.3 (D) Describe and model variability using population and sampling distributions.
S.4. Categorical and quantitative data. The student applies the mathematical process standards to represent and analyze both categorical and quantitative data. The student is expected to:S.4 (B) Represent and summarize data and justify the representation.
S.5. Probability and random variables. The student applies the mathematical process standards to connect probability and statistics. The student is expected to:S.5 (A) Determine probabilities, including the use of a two-way table.
S.7. Bivariate data. The student applies the mathematical process standards to analyze relationships among bivariate quantitative data. The student is expected to:S.7 (A) Analyze scatterplots for patterns, linearity, outliers, and influential points.
S.7 (B) Transform a linear parent function to determine a line of best fit.
S.7 (F) Identify and interpret the reasonableness of attributes of lines of best fit within the context, including slope and y-intercept.
TX.111.48.Algebraic Reasoning, Adopted 2015 (One Credit).
Algebraic Reasoning, Adopted 2015 (One Credit).
AR.1. Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:AR.1 (A) Apply mathematics to problems arising in everyday life, society, and the workplace.
AR.1 (B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
AR.1 (C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
AR.2. Patterns and structure. The student applies mathematical processes to connect finite differences or common ratios to attributes of functions. The student is expected to:AR.2 (A) Determine the patterns that identify the relationship between a function and its common ratio or related finite differences as appropriate, including linear, quadratic, cubic, and exponential functions.Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
AR.2 (B) Classify a function as linear, quadratic, cubic, and exponential when a function is represented tabular using finite differences or common ratios as appropriate.Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
AR.7. Modeling from data. The student applies mathematical processes to analyze and model data based on real-world situations with corresponding functions. The student is expected to:AR.7 (E) Determine if a given linear function is a reasonable model for a set of data arising from a real-world situation.