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 12.
Mathematical Process Standards
Mathematical Process Standards
- Algebra II
- 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.
| Standard | Definition | Code |
|---|---|---|
| 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 |
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 |
Assessments
The state tests students at this grade and subject take.
NAEP (National Assessment of Educational Progress)
Federally administered sample-based assessment in reading, mathematics, science, writing, and other subjects. NAEP results inform state-by-state comparisons rather than individual student or school accountability.
- When given:
- biennial in winter
- Frequency:
- every two years