The Common Core in Illinois

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Skills available for Illinois high school math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

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Illinois Learning Standards Incorporating the Common Core: Algebra 1 Illinois Learning Standards Incorporating the Common Core: Algebra 1
Illinois Learning Standards Incorporating the Common Core: Algebra 2 Illinois Learning Standards Incorporating the Common Core: Algebra 2
Illinois Learning Standards Incorporating the Common Core: All High School Pathways Illinois Learning Standards Incorporating the Common Core: All High School Pathways
Illinois Learning Standards Incorporating the Common Core: Fourth Courses Illinois Learning Standards Incorporating the Common Core: Fourth Courses
Illinois Learning Standards Incorporating the Common Core: Geometry Illinois Learning Standards Incorporating the Common Core: Geometry
Illinois Learning Standards Incorporating the Common Core: Mathematical Practices Illinois Learning Standards Incorporating the Common Core: Mathematical Practices
Illinois Learning Standards Incorporating the Common Core: Mathematics I Illinois Learning Standards Incorporating the Common Core: Mathematics I
Illinois Learning Standards Incorporating the Common Core: Mathematics II Illinois Learning Standards Incorporating the Common Core: Mathematics II
Illinois Learning Standards Incorporating the Common Core: Mathematics III Illinois Learning Standards Incorporating the Common Core: Mathematics III
Illinois Learning Standards Incorporating the Common Core: Precalculus Illinois Learning Standards Incorporating the Common Core: Precalculus
Illinois Priority Learning Standards: Algebra 1 Illinois Priority Learning Standards: Algebra 1
Illinois Priority Learning Standards: Algebra 2 Illinois Priority Learning Standards: Algebra 2
Illinois Priority Learning Standards: Fourth Courses Illinois Priority Learning Standards: Fourth Courses
Illinois Priority Learning Standards: Geometry Illinois Priority Learning Standards: Geometry
Illinois Priority Learning Standards: Mathematics I Illinois Priority Learning Standards: Mathematics I
Illinois Priority Learning Standards: Mathematics II Illinois Priority Learning Standards: Mathematics II
Illinois Priority Learning Standards: Mathematics III Illinois Priority Learning Standards: Mathematics III
Illinois Priority Learning Standards: Precalculus Illinois Priority Learning Standards: Precalculus

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9-12.HSN Number and Quantity

9-12.HSN-VM Vector and Matrix Quantities
- 9-12.HSN-VM.B Perform operations on vectors.
  - 9-12.HSN-VM.B.4 Add and subtract vectors.
    - 9-12.HSN-VM.B.4a Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.
    - 9-12.HSN-VM.B.4b Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
      - Find the magnitude and direction of a vector sum (PC-Y.9)

9-12.HSF Functions

9-12.HSF-IF Interpreting Functions
- 9-12.HSF-IF.C Analyze functions using different representations
  - 9-12.HSF-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
    - 9-12.HSF-IF.C.7d Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
      - Rational functions: asymptotes and excluded values (PC-G.1)
9-12.HSF-BF Building Functions
- 9-12.HSF-BF.A Build a function that models a relationship between two quantities
  - 9-12.HSF-BF.A.1 Write a function that describes a relationship between two quantities.
    - 9-12.HSF-BF.A.1c Compose functions.
      - Composition of functions (PC-A.8)

The Common Core in Illinois

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9-12.HSN Number and Quantity

9-12.HSN-VM Vector and Matrix Quantities

9-12.HSN-VM.B Perform operations on vectors.

9-12.HSN-VM.B.4 Add and subtract vectors.

9-12.HSN-VM.B.4a Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

9-12.HSN-VM.B.4b Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

9-12.HSF Functions

9-12.HSF-IF Interpreting Functions

9-12.HSF-IF.C Analyze functions using different representations

9-12.HSF-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

9-12.HSF-IF.C.7d Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

9-12.HSF-BF Building Functions

9-12.HSF-BF.A Build a function that models a relationship between two quantities

9-12.HSF-BF.A.1 Write a function that describes a relationship between two quantities.

9-12.HSF-BF.A.1c Compose functions.