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 9.
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.
- 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. | VT-MATH.MP.hs-algebra-1.1 |
| Reason Abstractly Algebra I | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | VT-MATH.MP.hs-algebra-1.2 |
| Construct Arguments Algebra I | Construct viable arguments and critique the reasoning of others. | VT-MATH.MP.hs-algebra-1.3 |
| Model with Mathematics Algebra I | Model with mathematics in everyday life, society, and the workplace. | VT-MATH.MP.hs-algebra-1.4 |
| Use Tools Strategically Algebra I | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | VT-MATH.MP.hs-algebra-1.5 |
| Attend to Precision Algebra I | Attend to precision in vocabulary, units, and computation. | VT-MATH.MP.hs-algebra-1.6 |
| Use Structure Algebra I | Look for and make use of structure in mathematical objects and patterns. | VT-MATH.MP.hs-algebra-1.7 |
| Express Regularity Algebra I | Look for and express regularity in repeated reasoning. | VT-MATH.MP.hs-algebra-1.8 |
| Make Sense of Problems Geometry | Make sense of problems and persevere in solving them. | VT-MATH.MP.hs-geometry.1 |
| Reason Abstractly Geometry | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | VT-MATH.MP.hs-geometry.2 |
| Construct Arguments Geometry | Construct viable arguments and critique the reasoning of others. | VT-MATH.MP.hs-geometry.3 |
| Model with Mathematics Geometry | Model with mathematics in everyday life, society, and the workplace. | VT-MATH.MP.hs-geometry.4 |
| Use Tools Strategically Geometry | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | VT-MATH.MP.hs-geometry.5 |
| Attend to Precision Geometry | Attend to precision in vocabulary, units, and computation. | VT-MATH.MP.hs-geometry.6 |
| Use Structure Geometry | Look for and make use of structure in mathematical objects and patterns. | VT-MATH.MP.hs-geometry.7 |
| Express Regularity Geometry | Look for and express regularity in repeated reasoning. | VT-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. | VT-MATH.A1.hs-algebra-1.1 |
| Systems Algebra I | Write and solve systems of linear equations and inequalities. | VT-MATH.A1.hs-algebra-1.2 |
| Quadratic Functions Algebra I | Analyze, write, and graph quadratic functions to model situations. | VT-MATH.A1.hs-algebra-1.3 |
| Exponential Functions Algebra I | Analyze, write, and graph exponential functions to model growth and decay. | VT-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. | VT-MATH.A1.hs-algebra-1.5 |
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. | VT-MATH.GEO.hs-geometry.1 |
| Similarity, Right Triangles, and Trigonometry Geometry | Apply similarity transformations and trigonometric ratios to solve problems involving right triangles. | VT-MATH.GEO.hs-geometry.2 |
| Circles Geometry | Apply properties of arcs, angles, and segments in circles to solve problems. | VT-MATH.GEO.hs-geometry.3 |
| Coordinate Geometry Geometry | Express geometric properties using equations and coordinate methods. | VT-MATH.GEO.hs-geometry.4 |
| Measurement and Modeling Geometry | Calculate area, surface area, volume, and use geometric models to solve real-world problems. | VT-MATH.GEO.hs-geometry.5 |
Assessments
The state tests students at this grade and subject take.
VTCAP: Mathematics (Grades 3-9)
Vermont's spring summative math test for grades 3 through 9, aligned to Vermont's Common Core-based math standards.
- When given:
- spring
- Frequency:
- annual