Make Sense of Problems
Make sense of problems and persevere in solving them.
What does a student learn in
Mastery Learning Standards
The required skills a student should display by the end of Grade 11.
Standards for Mathematical Practice
Standards for Mathematical Practice
- Algebra I
- Algebra I
Reason Abstractly
Reason abstractly and quantitatively, decontextualizing and contextualizing as needed.
- Algebra I
Construct Arguments
Construct viable arguments and critique the reasoning of others.
- Algebra I
Model with Mathematics
Model with mathematics in everyday life, society, and the workplace.
- Algebra I
Use Tools Strategically
Use appropriate tools strategically, including technology, estimation, and pencil-and-paper.
- Algebra I
Attend to Precision
Attend to precision in vocabulary, units, and computation.
- Algebra I
Use Structure
Look for and make use of structure in mathematical objects and patterns.
- Algebra I
Express Regularity
Look for and express regularity in repeated reasoning.
- Algebra II
Make Sense of Problems
Make sense of problems and persevere in solving them.
- Algebra II
Reason Abstractly
Reason abstractly and quantitatively, decontextualizing and contextualizing as needed.
- Algebra II
Construct Arguments
Construct viable arguments and critique the reasoning of others.
- Algebra II
Model with Mathematics
Model with mathematics in everyday life, society, and the workplace.
- Algebra II
Use Tools Strategically
Use appropriate tools strategically, including technology, estimation, and pencil-and-paper.
- Algebra II
Attend to Precision
Attend to precision in vocabulary, units, and computation.
- Algebra II
Use Structure
Look for and make use of structure in mathematical objects and patterns.
- Algebra II
Express Regularity
Look for and express regularity in repeated reasoning.
- Geometry
Make Sense of Problems
Make sense of problems and persevere in solving them.
- Geometry
Reason Abstractly
Reason abstractly and quantitatively, decontextualizing and contextualizing as needed.
- Geometry
Construct Arguments
Construct viable arguments and critique the reasoning of others.
- Geometry
Model with Mathematics
Model with mathematics in everyday life, society, and the workplace.
- Geometry
Use Tools Strategically
Use appropriate tools strategically, including technology, estimation, and pencil-and-paper.
- Geometry
Attend to Precision
Attend to precision in vocabulary, units, and computation.
- Geometry
Use Structure
Look for and make use of structure in mathematical objects and patterns.
- Geometry
Express Regularity
Look for and express regularity in repeated reasoning.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems Algebra I | Make sense of problems and persevere in solving them. | NJ-MATH.MP.hs-algebra-1.1 |
| Reason Abstractly Algebra I | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | NJ-MATH.MP.hs-algebra-1.2 |
| Construct Arguments Algebra I | Construct viable arguments and critique the reasoning of others. | NJ-MATH.MP.hs-algebra-1.3 |
| Model with Mathematics Algebra I | Model with mathematics in everyday life, society, and the workplace. | NJ-MATH.MP.hs-algebra-1.4 |
| Use Tools Strategically Algebra I | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | NJ-MATH.MP.hs-algebra-1.5 |
| Attend to Precision Algebra I | Attend to precision in vocabulary, units, and computation. | NJ-MATH.MP.hs-algebra-1.6 |
| Use Structure Algebra I | Look for and make use of structure in mathematical objects and patterns. | NJ-MATH.MP.hs-algebra-1.7 |
| Express Regularity Algebra I | Look for and express regularity in repeated reasoning. | NJ-MATH.MP.hs-algebra-1.8 |
| Make Sense of Problems Algebra II | Make sense of problems and persevere in solving them. | NJ-MATH.MP.hs-algebra-2.1 |
| Reason Abstractly Algebra II | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | NJ-MATH.MP.hs-algebra-2.2 |
| Construct Arguments Algebra II | Construct viable arguments and critique the reasoning of others. | NJ-MATH.MP.hs-algebra-2.3 |
| Model with Mathematics Algebra II | Model with mathematics in everyday life, society, and the workplace. | NJ-MATH.MP.hs-algebra-2.4 |
| Use Tools Strategically Algebra II | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | NJ-MATH.MP.hs-algebra-2.5 |
| Attend to Precision Algebra II | Attend to precision in vocabulary, units, and computation. | NJ-MATH.MP.hs-algebra-2.6 |
| Use Structure Algebra II | Look for and make use of structure in mathematical objects and patterns. | NJ-MATH.MP.hs-algebra-2.7 |
| Express Regularity Algebra II | Look for and express regularity in repeated reasoning. | NJ-MATH.MP.hs-algebra-2.8 |
| Make Sense of Problems Geometry | Make sense of problems and persevere in solving them. | NJ-MATH.MP.hs-geometry.1 |
| Reason Abstractly Geometry | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | NJ-MATH.MP.hs-geometry.2 |
| Construct Arguments Geometry | Construct viable arguments and critique the reasoning of others. | NJ-MATH.MP.hs-geometry.3 |
| Model with Mathematics Geometry | Model with mathematics in everyday life, society, and the workplace. | NJ-MATH.MP.hs-geometry.4 |
| Use Tools Strategically Geometry | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | NJ-MATH.MP.hs-geometry.5 |
| Attend to Precision Geometry | Attend to precision in vocabulary, units, and computation. | NJ-MATH.MP.hs-geometry.6 |
| Use Structure Geometry | Look for and make use of structure in mathematical objects and patterns. | NJ-MATH.MP.hs-geometry.7 |
| Express Regularity Geometry | Look for and express regularity in repeated reasoning. | NJ-MATH.MP.hs-geometry.8 |
Algebra I
Algebra I
- Algebra I
Linear Functions
Write, solve, and graph linear equations and inequalities and use them to model real-world situations.
- Algebra I
Systems
Write and solve systems of linear equations and inequalities.
- Algebra I
Quadratic Functions
Analyze, write, and graph quadratic functions to model situations.
- Algebra I
Exponential Functions
Analyze, write, and graph exponential functions to model growth and decay.
- Algebra I
Polynomials and Statistics
Operate on polynomials and analyze data on single and two variables to make inferences.
| Standard | Definition | Code |
|---|---|---|
| Linear Functions Algebra I | Write, solve, and graph linear equations and inequalities and use them to model real-world situations. | NJ-MATH.A1.hs-algebra-1.1 |
| Systems Algebra I | Write and solve systems of linear equations and inequalities. | NJ-MATH.A1.hs-algebra-1.2 |
| Quadratic Functions Algebra I | Analyze, write, and graph quadratic functions to model situations. | NJ-MATH.A1.hs-algebra-1.3 |
| Exponential Functions Algebra I | Analyze, write, and graph exponential functions to model growth and decay. | NJ-MATH.A1.hs-algebra-1.4 |
| Polynomials and Statistics Algebra I | Operate on polynomials and analyze data on single and two variables to make inferences. | NJ-MATH.A1.hs-algebra-1.5 |
Algebra II
Algebra II
- Algebra II
Functions and Graphs
Analyze the graphs of polynomial, rational, exponential, logarithmic, and trigonometric functions.
- Algebra II
Polynomial and Rational
Perform operations on polynomials and rational expressions and solve polynomial and rational equations.
- Algebra II
Trigonometry
Apply trigonometric functions and identities to model periodic phenomena.
- Algebra II
Statistics and Probability
Apply statistical concepts to make inferences about populations using sample data.
| Standard | Definition | Code |
|---|---|---|
| Functions and Graphs Algebra II | Analyze the graphs of polynomial, rational, exponential, logarithmic, and trigonometric functions. | NJ-MATH.A2.hs-algebra-2.1 |
| Polynomial and Rational Algebra II | Perform operations on polynomials and rational expressions and solve polynomial and rational equations. | NJ-MATH.A2.hs-algebra-2.2 |
| Trigonometry Algebra II | Apply trigonometric functions and identities to model periodic phenomena. | NJ-MATH.A2.hs-algebra-2.3 |
| Statistics and Probability Algebra II | Apply statistical concepts to make inferences about populations using sample data. | NJ-MATH.A2.hs-algebra-2.4 |
Geometry
Geometry
- Geometry
Congruence
Use rigid transformations to define and prove congruence of triangles and other figures.
- Geometry
Similarity, Right Triangles, and Trigonometry
Apply similarity transformations and trigonometric ratios to solve problems involving right triangles.
- Geometry
Circles
Apply properties of arcs, angles, and segments in circles to solve problems.
- Geometry
Coordinate Geometry
Express geometric properties using equations and coordinate methods.
- Geometry
Measurement and Modeling
Calculate area, surface area, volume, and use geometric models to solve real-world problems.
| Standard | Definition | Code |
|---|---|---|
| Congruence Geometry | Use rigid transformations to define and prove congruence of triangles and other figures. | NJ-MATH.GEO.hs-geometry.1 |
| Similarity, Right Triangles, and Trigonometry Geometry | Apply similarity transformations and trigonometric ratios to solve problems involving right triangles. | NJ-MATH.GEO.hs-geometry.2 |
| Circles Geometry | Apply properties of arcs, angles, and segments in circles to solve problems. | NJ-MATH.GEO.hs-geometry.3 |
| Coordinate Geometry Geometry | Express geometric properties using equations and coordinate methods. | NJ-MATH.GEO.hs-geometry.4 |
| Measurement and Modeling Geometry | Calculate area, surface area, volume, and use geometric models to solve real-world problems. | NJ-MATH.GEO.hs-geometry.5 |
Assessments
The state tests students at this grade and subject take.
NJ Graduation Proficiency Assessment (NJGPA)
Graduation proficiency assessment in ELA and math, taken in 11th grade as part of New Jersey's graduation requirements.
- When given:
- spring
- Frequency:
- annual