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Skills available for Texas high school math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

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College and Career Readiness Standards College and Career Readiness Standards
Texas Essential Knowledge and Skills (TEKS): 111.47 Statistics Texas Essential Knowledge and Skills (TEKS): 111.47 Statistics
Texas Essential Knowledge and Skills (TEKS): 111.48 Algebraic Reasoning Texas Essential Knowledge and Skills (TEKS): 111.48 Algebraic Reasoning
State of Texas Assessments of Academic Readiness (STAAR) State of Texas Assessments of Academic Readiness (STAAR)
Texas Essential Knowledge and Skills (TEKS): Algebra 1 Texas Essential Knowledge and Skills (TEKS): Algebra 1
Texas Essential Knowledge and Skills (TEKS): Algebra 2 Texas Essential Knowledge and Skills (TEKS): Algebra 2
Texas Essential Knowledge and Skills (TEKS): Algebraic Reasoning Texas Essential Knowledge and Skills (TEKS): Algebraic Reasoning
Texas Essential Knowledge and Skills (TEKS): Geometry Texas Essential Knowledge and Skills (TEKS): Geometry
Texas Essential Knowledge and Skills (TEKS): Precalculus Texas Essential Knowledge and Skills (TEKS): Precalculus
Texas College and Career Readiness Standards: Grades: 9-12 Texas College and Career Readiness Standards: Grades: 9-12

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9-12.I Numeric Reasoning

9-12.I.A Number representation
- 9-12.I.A.1 Compare real numbers.
- 9-12.I.A.2 Define and give examples of complex numbers.
9-12.I.B Number operations
- 9-12.I.B.1 Perform computations with real and complex numbers.
9-12.I.C Number sense and number concepts
- 9-12.I.C.1 Use estimation to check for errors and reasonableness of solutions.

9-12.II Algebraic Reasoning

9-12.III Geometric Reasoning

9-12.VII Functions

9-12.VIII Problem Solving and Reasoning

9-12.VIII.A Mathematical problem solving
- 9-12.VIII.A.1 Analyze given information.
- 9-12.VIII.A.2 Formulate a plan or strategy.
- 9-12.VIII.A.3 Determine a solution.
- 9-12.VIII.A.4 Justify the solution.
- 9-12.VIII.A.5 Evaluate the problem-solving process.
9-12.VIII.B Logical reasoning
- 9-12.VIII.B.1 Develop and evaluate convincing arguments.
- 9-12.VIII.B.2 Use various types of reasoning.
9-12.VIII.C Real world problem solving

9-12.IX Communication and Representation

9-12.IX.A Language, terms, and symbols of mathematics
- 9-12.IX.A.1 Use mathematical symbols, terminology, and notation to represent given and unknown information in a problem.
- 9-12.IX.A.2 Use mathematical language to represent and communicate the mathematical concepts in a problem.
- 9-12.IX.A.3 Use mathematics as a language for reasoning, problem solving, making connections, and generalizing.
  - Converses, inverses, and contrapositives (G-A.5)
9-12.IX.B Interpretation of mathematical work
- 9-12.IX.B.1 Model and interpret mathematical ideas and concepts using multiple representations.
- 9-12.IX.B.2 Summarize and interpret mathematical information provided orally, visually, or in written form within the given context.
9-12.IX.C Presentation and representation of mathematical work

9-12.X Connections

9-12.X.A Connections among the strands of mathematics
- 9-12.X.A.1 Connect and use multiple strands of mathematics in situations and problems.
- 9-12.X.A.2 Connect mathematics to the study of other disciplines.
9-12.X.B Connections of mathematics to nature, real world situations, and everyday life
- 9-12.X.B.1 Use multiple representations to demonstrate links between mathematical and real world situations.
- 9-12.X.B.2 Understand and use appropriate mathematical models in the natural, physical, and social sciences.
- 9-12.X.B.3 Know and understand the use of mathematics in a variety of careers and professions.

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9-12.I Numeric Reasoning

9-12.I.A Number representation

9-12.I.A.1 Compare real numbers.

9-12.I.A.2 Define and give examples of complex numbers.

9-12.I.B Number operations

9-12.I.B.1 Perform computations with real and complex numbers.

9-12.I.C Number sense and number concepts

9-12.I.C.1 Use estimation to check for errors and reasonableness of solutions.

9-12.II Algebraic Reasoning

9-12.II.A Expressions and equations

9-12.II.A.1 Explain and differentiate between expressions and equations using words such as "solve", "evaluate", and "simplify".

9-12.II.B Manipulating expressions

9-12.II.B.1 Recognize and use algebraic (field) properties, concepts, procedures, and algorithms to combine, transform, and evaluate expressions (e.g., polynomials, radicals, rational expressions).

9-12.II.C Solving equations, inequalities, and systems of equations

9-12.II.C.1 Recognize and use algebraic (field) properties, concepts, procedures, and algorithms to solve equations, inequalities, and systems of linear equations.

9-12.II.C.2 Explain the difference between the solution set of an equation and the solution set of an inequality.

9-12.II.D Representations

9-12.II.D.1 Interpret multiple representations of equations and relationships.

9-12.II.D.2 Translate among multiple representations of equations and relationships.

9-12.III Geometric Reasoning

9-12.III.A Figures and their properties

9-12.III.A.1 Identify and represent the features of plane and space figures.

9-12.III.A.2 Make, test, and use conjectures about one-, two-, and three-dimensional figures and their properties.

9-12.III.A.3 Recognize and apply right triangle relationships including basic trigonometry.

9-12.III.B Transformations and symmetry

9-12.III.B.1 Identify and apply transformations to figures.

9-12.III.B.2 Identify the symmetries of a plane figure.

9-12.III.B.3 Use congruence transformations and dilations to investigate congruence, similarity, and symmetries of plane figures.

9-12.III.C Connections between geometry and other mathematical content strands

9-12.III.C.1 Make connections between geometry and algebra.

9-12.III.C.2 Make connections between geometry, statistics, and probability.

9-12.III.C.3 Make connections between geometry and measurement.

9-12.III.D Logic and reasoning in geometry

9-12.III.D.1 Make and validate geometric conjectures.

9-12.III.D.2 Understand that Euclidean geometry is an axiomatic system.

9-12.IV Measurement Reasoning

9-12.IV.A Measurement involving physical and natural attributes

9-12.IV.A.1 Select or use the appropriate type of unit for the attribute being measured.

9-12.IV.B Systems of measurement

9-12.IV.B.1 Convert from one measurement system to another.

9-12.IV.B.2 Convert within a single measurement system.

9-12.IV.C Measurement involving geometry and algebra

9-12.IV.C.1 Find the perimeter and area of two-dimensional figures.

9-12.IV.C.2 Determine the surface area and volume of three-dimensional figures.

9-12.IV.C.3 Determine indirect measurements of figures using scale drawings, similar figures, the Pythagorean Theorem, and basic trigonometry.

9-12.IV.D Measurement involving statistics and probability

9-12.IV.D.1 Compute and use measures of center and spread to describe data.

9-12.IV.D.2 Apply probabilistic measures to practical situations to make an informed decision.

9-12.V Probabilistic Reasoning

9-12.V.A Counting principles

9-12.V.A.1 Determine the nature and the number of elements in a finite sample space.

9-12.V.B Computation and interpretation of probabilities

9-12.V.B.1 Compute and interpret the probability of an event and its complement.

9-12.V.B.2 Compute and interpret the probability of conditional and compound events.

9-12.VI Statistical Reasoning

9-12.VI.A Data collection

9-12.VI.A.1 Plan a study.

9-12.VI.B Describe data

9-12.VI.B.1 Determine types of data.

9-12.VI.B.2 Select and apply appropriate visual representations of data.

9-12.VI.B.3 Compute and describe summary statistics of data.

9-12.VI.B.4 Describe patterns and departure from patterns in a set of data.

9-12.VI.C Read, analyze, interpret, and draw conclusions from data

9-12.VI.C.1 Make predictions and draw inferences using summary statistics.

9-12.VI.C.2 Analyze data sets using graphs and summary statistics.

9-12.VI.C.3 Analyze relationships between paired data using spreadsheets, graphing calculators, or statistical software.

9-12.VI.C.4 Recognize reliability of statistical results.

9-12.VII Functions

9-12.VII.A Recognition and representation of functions

9-12.VII.A.1 Recognize whether a relation is a function.

9-12.VII.A.2 Recognize and distinguish between different types of functions.

9-12.VII.B Analysis of functions

9-12.VII.B.1 Understand and analyze features of a function.

9-12.VII.B.2 Algebraically construct and analyze new functions.

9-12.VII.C Model real world situations with functions

9-12.VII.C.1 Apply known function models.

9-12.VII.C.2 Develop a function to model a situation.