Apply Mathematics
The student applies mathematics to problems arising in everyday life, society, and the workplace.
What does a student learn in
Mastery Learning Standards
The required skills a student should display by the end of Grade 10.
Mathematical Process Standards
Mathematical Process Standards
- Algebra I
- Algebra I
Problem-Solving Model
The student uses 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.
- Algebra I
Select Tools and Techniques
The student selects appropriate tools and techniques, including real objects, manipulatives, paper and pencil, and technology, and techniques such as mental math, estimation, and number sense, to solve problems.
- Algebra I
Communicate Mathematical Ideas
The student communicates mathematical ideas, reasoning, and implications using multiple representations, including symbols, diagrams, graphs, and language.
- Algebra I
Form Representations
The student creates and uses representations to organize, record, and communicate mathematical ideas.
- Algebra I
Analyze Relationships
The student analyzes mathematical relationships to connect and communicate mathematical ideas.
- Algebra I
Justify Reasoning
The student displays, explains, and justifies mathematical ideas and arguments using precise mathematical language in written or oral communication.
- Algebra II
Apply Mathematics
The student applies mathematics to problems arising in everyday life, society, and the workplace.
- Algebra II
Problem-Solving Model
The student uses 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.
- Algebra II
Select Tools and Techniques
The student selects appropriate tools and techniques, including real objects, manipulatives, paper and pencil, and technology, and techniques such as mental math, estimation, and number sense, to solve problems.
- Algebra II
Communicate Mathematical Ideas
The student communicates mathematical ideas, reasoning, and implications using multiple representations, including symbols, diagrams, graphs, and language.
- Algebra II
Form Representations
The student creates and uses representations to organize, record, and communicate mathematical ideas.
- Algebra II
Analyze Relationships
The student analyzes mathematical relationships to connect and communicate mathematical ideas.
- Algebra II
Justify Reasoning
The student displays, explains, and justifies mathematical ideas and arguments using precise mathematical language in written or oral communication.
- Geometry
Apply Mathematics
The student applies mathematics to problems arising in everyday life, society, and the workplace.
- Geometry
Problem-Solving Model
The student uses 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.
- Geometry
Select Tools and Techniques
The student selects appropriate tools and techniques, including real objects, manipulatives, paper and pencil, and technology, and techniques such as mental math, estimation, and number sense, to solve problems.
- Geometry
Communicate Mathematical Ideas
The student communicates mathematical ideas, reasoning, and implications using multiple representations, including symbols, diagrams, graphs, and language.
- Geometry
Form Representations
The student creates and uses representations to organize, record, and communicate mathematical ideas.
- Geometry
Analyze Relationships
The student analyzes mathematical relationships to connect and communicate mathematical ideas.
- Geometry
Justify Reasoning
The student displays, explains, and justifies mathematical ideas and arguments using precise mathematical language in written or oral communication.
| Standard | Definition | Code |
|---|---|---|
| Apply Mathematics Algebra I | The student applies mathematics to problems arising in everyday life, society, and the workplace. | TX-MATH.PROC.hs-algebra-1.1 |
| Problem-Solving Model Algebra I | The student uses 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. | TX-MATH.PROC.hs-algebra-1.2 |
| Select Tools and Techniques Algebra I | The student selects appropriate tools and techniques, including real objects, manipulatives, paper and pencil, and technology, and techniques such as mental math, estimation, and number sense, to solve problems. | TX-MATH.PROC.hs-algebra-1.3 |
| Communicate Mathematical Ideas Algebra I | The student communicates mathematical ideas, reasoning, and implications using multiple representations, including symbols, diagrams, graphs, and language. | TX-MATH.PROC.hs-algebra-1.4 |
| Form Representations Algebra I | The student creates and uses representations to organize, record, and communicate mathematical ideas. | TX-MATH.PROC.hs-algebra-1.5 |
| Analyze Relationships Algebra I | The student analyzes mathematical relationships to connect and communicate mathematical ideas. | TX-MATH.PROC.hs-algebra-1.6 |
| Justify Reasoning Algebra I | The student displays, explains, and justifies mathematical ideas and arguments using precise mathematical language in written or oral communication. | TX-MATH.PROC.hs-algebra-1.7 |
| Apply Mathematics Algebra II | The student applies mathematics to problems arising in everyday life, society, and the workplace. | TX-MATH.PROC.hs-algebra-2.1 |
| Problem-Solving Model Algebra II | The student uses 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. | TX-MATH.PROC.hs-algebra-2.2 |
| Select Tools and Techniques Algebra II | The student selects appropriate tools and techniques, including real objects, manipulatives, paper and pencil, and technology, and techniques such as mental math, estimation, and number sense, to solve problems. | TX-MATH.PROC.hs-algebra-2.3 |
| Communicate Mathematical Ideas Algebra II | The student communicates mathematical ideas, reasoning, and implications using multiple representations, including symbols, diagrams, graphs, and language. | TX-MATH.PROC.hs-algebra-2.4 |
| Form Representations Algebra II | The student creates and uses representations to organize, record, and communicate mathematical ideas. | TX-MATH.PROC.hs-algebra-2.5 |
| Analyze Relationships Algebra II | The student analyzes mathematical relationships to connect and communicate mathematical ideas. | TX-MATH.PROC.hs-algebra-2.6 |
| Justify Reasoning Algebra II | The student displays, explains, and justifies mathematical ideas and arguments using precise mathematical language in written or oral communication. | TX-MATH.PROC.hs-algebra-2.7 |
| Apply Mathematics Geometry | The student applies mathematics to problems arising in everyday life, society, and the workplace. | TX-MATH.PROC.hs-geometry.1 |
| Problem-Solving Model Geometry | The student uses 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. | TX-MATH.PROC.hs-geometry.2 |
| Select Tools and Techniques Geometry | The student selects appropriate tools and techniques, including real objects, manipulatives, paper and pencil, and technology, and techniques such as mental math, estimation, and number sense, to solve problems. | TX-MATH.PROC.hs-geometry.3 |
| Communicate Mathematical Ideas Geometry | The student communicates mathematical ideas, reasoning, and implications using multiple representations, including symbols, diagrams, graphs, and language. | TX-MATH.PROC.hs-geometry.4 |
| Form Representations Geometry | The student creates and uses representations to organize, record, and communicate mathematical ideas. | TX-MATH.PROC.hs-geometry.5 |
| Analyze Relationships Geometry | The student analyzes mathematical relationships to connect and communicate mathematical ideas. | TX-MATH.PROC.hs-geometry.6 |
| Justify Reasoning Geometry | The student displays, explains, and justifies mathematical ideas and arguments using precise mathematical language in written or oral communication. | TX-MATH.PROC.hs-geometry.7 |
Algebra I
Algebra I
- Algebra I
Linear Functions
The student applies the concept of slope and y-intercept to determine the linear relationship between two quantities and writes linear equations and inequalities to model real-world situations.
- Algebra I
Systems of Linear Equations
The student writes and solves systems of two linear equations and inequalities in two variables to represent and analyze problem situations.
- Algebra I
Quadratic Functions
The student analyzes attributes of quadratic functions and uses them to write quadratic equations to model real-world situations.
- Algebra I
Exponential Functions
The student analyzes attributes of exponential functions and uses them to model real-world growth and decay situations.
- Algebra I
Number and Algebraic Methods
The student applies the laws of exponents and properties of operations to simplify expressions and solve equations.
| Standard | Definition | Code |
|---|---|---|
| Linear Functions Algebra I | The student applies the concept of slope and y-intercept to determine the linear relationship between two quantities and writes linear equations and inequalities to model real-world situations. | TX-MATH.A1.hs-algebra-1.1 |
| Systems of Linear Equations Algebra I | The student writes and solves systems of two linear equations and inequalities in two variables to represent and analyze problem situations. | TX-MATH.A1.hs-algebra-1.2 |
| Quadratic Functions Algebra I | The student analyzes attributes of quadratic functions and uses them to write quadratic equations to model real-world situations. | TX-MATH.A1.hs-algebra-1.3 |
| Exponential Functions Algebra I | The student analyzes attributes of exponential functions and uses them to model real-world growth and decay situations. | TX-MATH.A1.hs-algebra-1.4 |
| Number and Algebraic Methods Algebra I | The student applies the laws of exponents and properties of operations to simplify expressions and solve equations. | TX-MATH.A1.hs-algebra-1.5 |
Algebra II
Algebra II
- Algebra II
Functions and Their Graphs
The student analyzes the graphs of functions, including polynomial, rational, exponential, logarithmic, and trigonometric, and applies them to model situations.
- Algebra II
Quadratic Functions and Equations
The student writes and solves quadratic equations and inequalities to represent real-world situations and uses the discriminant to analyze solutions.
- Algebra II
Exponential and Logarithmic Functions
The student writes, evaluates, and graphs exponential and logarithmic functions, and uses them to model real-world situations such as compound interest and population growth.
- Algebra II
Polynomial and Rational Expressions
The student performs operations with polynomial and rational expressions and solves polynomial and rational equations.
- Algebra II
Systems and Matrices
The student writes and solves systems of three linear equations and uses matrices to organize and operate on real-world data.
- Algebra II
Statistics
The student applies statistical concepts, including the normal distribution and confidence intervals, to make inferences about populations.
| Standard | Definition | Code |
|---|---|---|
| Functions and Their Graphs Algebra II | The student analyzes the graphs of functions, including polynomial, rational, exponential, logarithmic, and trigonometric, and applies them to model situations. | TX-MATH.A2.hs-algebra-2.1 |
| Quadratic Functions and Equations Algebra II | The student writes and solves quadratic equations and inequalities to represent real-world situations and uses the discriminant to analyze solutions. | TX-MATH.A2.hs-algebra-2.2 |
| Exponential and Logarithmic Functions Algebra II | The student writes, evaluates, and graphs exponential and logarithmic functions, and uses them to model real-world situations such as compound interest and population growth. | TX-MATH.A2.hs-algebra-2.3 |
| Polynomial and Rational Expressions Algebra II | The student performs operations with polynomial and rational expressions and solves polynomial and rational equations. | TX-MATH.A2.hs-algebra-2.4 |
| Systems and Matrices Algebra II | The student writes and solves systems of three linear equations and uses matrices to organize and operate on real-world data. | TX-MATH.A2.hs-algebra-2.5 |
| Statistics Algebra II | The student applies statistical concepts, including the normal distribution and confidence intervals, to make inferences about populations. | TX-MATH.A2.hs-algebra-2.6 |
Geometry
Geometry
- Geometry
Coordinate and Transformational Geometry
The student uses the coordinate plane and rigid transformations to describe and solve problems involving two-dimensional figures.
- Geometry
Logical Argument and Constructions
The student verifies geometric relationships using logical argument and accurate constructions.
- Geometry
Proof and Congruence
The student proves and applies theorems about triangles, quadrilaterals, and other polygons to justify their properties.
- Geometry
Similarity, Proof, and Trigonometry
The student applies similarity transformations and trigonometric ratios to solve problems involving right triangles.
- Geometry
Two- and Three-Dimensional Figures
The student applies area, surface area, and volume formulas to two- and three-dimensional figures to solve problems.
- Geometry
Circles
The student applies properties of arcs, angles, segments, and tangents in circles to solve problems.
- Geometry
Probability
The student applies probability to compound events and uses geometric probability to solve real-world problems.
| Standard | Definition | Code |
|---|---|---|
| Coordinate and Transformational Geometry Geometry | The student uses the coordinate plane and rigid transformations to describe and solve problems involving two-dimensional figures. | TX-MATH.GEO.hs-geometry.1 |
| Logical Argument and Constructions Geometry | The student verifies geometric relationships using logical argument and accurate constructions. | TX-MATH.GEO.hs-geometry.2 |
| Proof and Congruence Geometry | The student proves and applies theorems about triangles, quadrilaterals, and other polygons to justify their properties. | TX-MATH.GEO.hs-geometry.3 |
| Similarity, Proof, and Trigonometry Geometry | The student applies similarity transformations and trigonometric ratios to solve problems involving right triangles. | TX-MATH.GEO.hs-geometry.4 |
| Two- and Three-Dimensional Figures Geometry | The student applies area, surface area, and volume formulas to two- and three-dimensional figures to solve problems. | TX-MATH.GEO.hs-geometry.5 |
| Circles Geometry | The student applies properties of arcs, angles, segments, and tangents in circles to solve problems. | TX-MATH.GEO.hs-geometry.6 |
| Probability Geometry | The student applies probability to compound events and uses geometric probability to solve real-world problems. | TX-MATH.GEO.hs-geometry.7 |
Assessments
The state tests students at this grade and subject take.
STAAR EOC Algebra I
End-of-course exam taken at the completion of Algebra I, typically grade 8 or 9. Students must pass all five STAAR EOCs to graduate from a Texas public high school.
- When given:
- end-of-course
- Frequency:
- by course completion