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 10.
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. | IL-MATH.MP.hs-algebra-1.1 |
| Reason Abstractly Algebra I | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | IL-MATH.MP.hs-algebra-1.2 |
| Construct Arguments Algebra I | Construct viable arguments and critique the reasoning of others. | IL-MATH.MP.hs-algebra-1.3 |
| Model with Mathematics Algebra I | Model with mathematics in everyday life, society, and the workplace. | IL-MATH.MP.hs-algebra-1.4 |
| Use Tools Strategically Algebra I | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | IL-MATH.MP.hs-algebra-1.5 |
| Attend to Precision Algebra I | Attend to precision in vocabulary, units, and computation. | IL-MATH.MP.hs-algebra-1.6 |
| Use Structure Algebra I | Look for and make use of structure in mathematical objects and patterns. | IL-MATH.MP.hs-algebra-1.7 |
| Express Regularity Algebra I | Look for and express regularity in repeated reasoning. | IL-MATH.MP.hs-algebra-1.8 |
| Make Sense of Problems Algebra II | Make sense of problems and persevere in solving them. | IL-MATH.MP.hs-algebra-2.1 |
| Reason Abstractly Algebra II | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | IL-MATH.MP.hs-algebra-2.2 |
| Construct Arguments Algebra II | Construct viable arguments and critique the reasoning of others. | IL-MATH.MP.hs-algebra-2.3 |
| Model with Mathematics Algebra II | Model with mathematics in everyday life, society, and the workplace. | IL-MATH.MP.hs-algebra-2.4 |
| Use Tools Strategically Algebra II | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | IL-MATH.MP.hs-algebra-2.5 |
| Attend to Precision Algebra II | Attend to precision in vocabulary, units, and computation. | IL-MATH.MP.hs-algebra-2.6 |
| Use Structure Algebra II | Look for and make use of structure in mathematical objects and patterns. | IL-MATH.MP.hs-algebra-2.7 |
| Express Regularity Algebra II | Look for and express regularity in repeated reasoning. | IL-MATH.MP.hs-algebra-2.8 |
| Make Sense of Problems Geometry | Make sense of problems and persevere in solving them. | IL-MATH.MP.hs-geometry.1 |
| Reason Abstractly Geometry | Reason abstractly and quantitatively, decontextualizing and contextualizing as needed. | IL-MATH.MP.hs-geometry.2 |
| Construct Arguments Geometry | Construct viable arguments and critique the reasoning of others. | IL-MATH.MP.hs-geometry.3 |
| Model with Mathematics Geometry | Model with mathematics in everyday life, society, and the workplace. | IL-MATH.MP.hs-geometry.4 |
| Use Tools Strategically Geometry | Use appropriate tools strategically, including technology, estimation, and pencil-and-paper. | IL-MATH.MP.hs-geometry.5 |
| Attend to Precision Geometry | Attend to precision in vocabulary, units, and computation. | IL-MATH.MP.hs-geometry.6 |
| Use Structure Geometry | Look for and make use of structure in mathematical objects and patterns. | IL-MATH.MP.hs-geometry.7 |
| Express Regularity Geometry | Look for and express regularity in repeated reasoning. | IL-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
Add, subtract, multiply, and factor polynomials to solve problems.
| Standard | Definition | Code |
|---|---|---|
| Linear Functions Algebra I | Write, solve, and graph linear equations and inequalities and use them to model real-world situations. | IL-MATH.A1.hs-algebra-1.1 |
| Systems Algebra I | Write and solve systems of linear equations and inequalities. | IL-MATH.A1.hs-algebra-1.2 |
| Quadratic Functions Algebra I | Analyze, write, and graph quadratic functions to model situations. | IL-MATH.A1.hs-algebra-1.3 |
| Exponential Functions Algebra I | Analyze, write, and graph exponential functions to model growth and decay. | IL-MATH.A1.hs-algebra-1.4 |
| Polynomials Algebra I | Add, subtract, multiply, and factor polynomials to solve problems. | IL-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. | IL-MATH.A2.hs-algebra-2.1 |
| Polynomial and Rational Algebra II | Perform operations on polynomials and rational expressions and solve polynomial and rational equations. | IL-MATH.A2.hs-algebra-2.2 |
| Trigonometry Algebra II | Apply trigonometric functions and identities to model periodic phenomena. | IL-MATH.A2.hs-algebra-2.3 |
| Statistics and Probability Algebra II | Apply statistical concepts to make inferences about populations using sample data. | IL-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
Expressing Geometric Properties
Express geometric properties using equations and coordinate methods.
- Geometry
Geometric Measurement
Calculate area, surface area, and volume of two- and three-dimensional figures.
| Standard | Definition | Code |
|---|---|---|
| Congruence Geometry | Use rigid transformations to define and prove congruence of triangles and other figures. | IL-MATH.GEO.hs-geometry.1 |
| Similarity, Right Triangles, and Trigonometry Geometry | Apply similarity transformations and trigonometric ratios to solve problems involving right triangles. | IL-MATH.GEO.hs-geometry.2 |
| Circles Geometry | Apply properties of arcs, angles, and segments in circles to solve problems. | IL-MATH.GEO.hs-geometry.3 |
| Expressing Geometric Properties Geometry | Express geometric properties using equations and coordinate methods. | IL-MATH.GEO.hs-geometry.4 |
| Geometric Measurement Geometry | Calculate area, surface area, and volume of two- and three-dimensional figures. | IL-MATH.GEO.hs-geometry.5 |
Assessments
The state tests students at this grade and subject take.
PSAT 10
Illinois administers the PSAT 10 to all 10th-grade students as a measure of college and career readiness.
- When given:
- spring
- Frequency:
- annual