Number Operations and Expressions
The student applies properties of rational and irrational numbers and operations on polynomials to solve problems.
What does a student learn in
Mastery Learning Standards
The required skills a student should display by the end of Grade 10.
Algebra I
Algebra I
- Algebra I
- Algebra I
Linear Functions and Equations
The student writes, solves, and graphs linear equations, inequalities, and systems to model real-world situations.
- Algebra I
Quadratic and Exponential
The student analyzes and writes quadratic and exponential functions and uses them to model situations.
- Algebra I
Data Analysis
The student summarizes, represents, and interprets data on single and two variables and uses regression to model relationships.
| Standard | Definition | Code |
|---|---|---|
| Number Operations and Expressions Algebra I | The student applies properties of rational and irrational numbers and operations on polynomials to solve problems. | PA-MATH.A1.hs-algebra-1.1 |
| Linear Functions and Equations Algebra I | The student writes, solves, and graphs linear equations, inequalities, and systems to model real-world situations. | PA-MATH.A1.hs-algebra-1.2 |
| Quadratic and Exponential Algebra I | The student analyzes and writes quadratic and exponential functions and uses them to model situations. | PA-MATH.A1.hs-algebra-1.3 |
| Data Analysis Algebra I | The student summarizes, represents, and interprets data on single and two variables and uses regression to model relationships. | PA-MATH.A1.hs-algebra-1.4 |
Algebra II
Algebra II
- Algebra II
Polynomial and Rational
The student performs operations with polynomial and rational expressions and solves polynomial and rational equations.
- Algebra II
Functions and Models
The student analyzes and graphs polynomial, exponential, logarithmic, and trigonometric functions and uses them to model situations.
- Algebra II
Statistics and Inference
The student applies statistical concepts to make inferences about populations using sample data.
| Standard | Definition | Code |
|---|---|---|
| Polynomial and Rational Algebra II | The student performs operations with polynomial and rational expressions and solves polynomial and rational equations. | PA-MATH.A2.hs-algebra-2.1 |
| Functions and Models Algebra II | The student analyzes and graphs polynomial, exponential, logarithmic, and trigonometric functions and uses them to model situations. | PA-MATH.A2.hs-algebra-2.2 |
| Statistics and Inference Algebra II | The student applies statistical concepts to make inferences about populations using sample data. | PA-MATH.A2.hs-algebra-2.3 |
Geometry
Geometry
- Geometry
Two-Dimensional Figures
The student applies properties of two-dimensional figures, including transformations, similarity, and trigonometry, to solve problems.
- Geometry
Three-Dimensional Figures
The student calculates surface area and volume of three-dimensional figures and uses them to solve problems.
- Geometry
Coordinate Geometry
The student uses coordinates to verify geometric relationships and to solve problems.
- Geometry
Probability and Reasoning
The student applies probability and logical reasoning to solve geometric problems.
| Standard | Definition | Code |
|---|---|---|
| Two-Dimensional Figures Geometry | The student applies properties of two-dimensional figures, including transformations, similarity, and trigonometry, to solve problems. | PA-MATH.GEO.hs-geometry.1 |
| Three-Dimensional Figures Geometry | The student calculates surface area and volume of three-dimensional figures and uses them to solve problems. | PA-MATH.GEO.hs-geometry.2 |
| Coordinate Geometry Geometry | The student uses coordinates to verify geometric relationships and to solve problems. | PA-MATH.GEO.hs-geometry.3 |
| Probability and Reasoning Geometry | The student applies probability and logical reasoning to solve geometric problems. | PA-MATH.GEO.hs-geometry.4 |
Assessments
The state tests students at this grade and subject take.
Keystone Algebra I
End-of-course exam in Algebra I, typically grade 8 or 9. Required for graduation under Act 158 pathways.
- When given:
- end-of-course
- Frequency:
- by course completion