Grades 9, 10, 11, 12 - Learning Progressions

5-12 Learning Progressions

  •  

    Numerical Reasoning

    1.  

      Numbers (rational numbers and irrational numbers)

      1. 1.

        All rational numbersHS.LP5.1.1

      2. 2.

        Operations with radicalsHS.LP5.1.2

      3. 3.

        All numbers in The Real Number SystemHS.LP5.1.3

    2.  

      Computational Fluency

      1. 1.

        Operations with real numbers (rational and irrational)HS.LP5.2.1

      2. 2.

        Multiplication of irrational numbersHS.LP5.2.2

    3.  

      Comparisons

      1. 1.

        Rate of change (slope)HS.LP5.3.1

      2. 2.

        InterceptHS.LP5.3.2

      3. 3.

        Distributions of two or more data setsHS.LP5.3.3

  •  

    Patterning & Algebraic Reasoning

    1.  

      Patterns

      1. 1.

        Arithmetic sequencesHS.LP6.1.1

      2. 2.

        Geometric sequencesHS.LP6.1.2

    2.  

      Expressions

      1. 1.

        Exponential expressionsHS.LP6.2.1

      2. 2.

        Quadratic expressionsHS.LP6.2.2

      3. 3.

        Expressions of varying degreesHS.LP6.2.3

      4. 4.

        Add, subtract, multiply single variable polynomialsHS.LP6.2.4

      5. 5.

        Adding, Subtracting and Multiplying PolynomialsHS.LP6.2.5

      6. 6.

        Factoring and expanding polynomialsHS.LP6.2.6

    3.  

      Variable Equations & Inequalities

      1. 1.

        Exponential equationsHS.LP6.3.1

      2. 2.

        Quadratic equationsHS.LP6.3.2

      3. 3.

        Equations of parallel and perpendicular linesHS.LP6.3.3

      4. 4.

        Analyze and solve linear inequalitiesHS.LP6.3.4

      5. 5.

        Equations involving geometric measurementHS.LP6.3.5

    4.  

      Ratios & Rates

      1. 1.

        Convert units and rates given a conversion factorHS.LP6.4.1

      2. 2.

        Side ratios of similar trianglesHS.LP6.4.2

      3. 3.

        Trigonometric ratiosHS.LP6.4.3

    5.  

      Graphing

      1. 1.

        Linear functions with function notationHS.LP6.6.1

      2. 2.

        Exponential functionsHS.LP6.6.2

      3. 3.

        Quadratic functionsHS.LP6.6.3

      4. 4.

        Systems of linear inequalitiesHS.LP6.6.4

      5. 5.

        Equations of circles in standard formHS.LP6.6.5

  •  

    Functional & Graphical Reasoning

    1.  

      Function Families

      1. 1.

        Linear functions with function notationHS.LP7.1.1

      2. 2.

        Parent graphs of function familiesHS.LP7.1.2

      3. 3.

        Exponential functionsHS.LP7.1.3

      4. 4.

        Quadratic functionsHS.LP7.1.4

      5. 5.

        Function notation to represent transformationsHS.LP7.1.5

  •  

    Geometric & Spatial Reasoning

    1.  

      Shapes & Properties

      1. 1.

        Develop and use precise definitions to prove theorems and solve geometric problemsHS.LP8.1.1

      2. 2.

        Prove slope criteria for parallel and perpendicular linesHS.LP8.1.2

      3. 3.

        Transform polygons using rotations, reflections, dilations, and translations.HS.LP8.1.3

      4. 4.

        Congruence and trans-formationsHS.LP8.1.4

      5. 5.

        Triangle congruenceHS.LP8.1.5

      6. 6.

        Use congruence to prove relationships in geometric figuresHS.LP8.1.6

      7. 7.

        Similarity and dilationsHS.LP8.1.7

      8. 8.

        Similar trianglesHS.LP8.1.8

      9. 9.

        Use similarity to prove relationships in geometric figuresHS.LP8.1.9

      10. 10.

        Formal proofs & theorems about trianglesHS.LP8.1.10

      11. 11.

        Trigonometric ratios (Sin, Cos, & Tan)HS.LP8.1.11

    2.  

      Geometric Measurement

      1. 1.

        Use distance formula, midpoint formula, and slope to calculate perimeter and area of triangles and quadrilateralsHS.LP8.2.1

      2. 2.

        Volumes of prisms, cones, cylinders, pyramids, and spheresHS.LP8.2.2

      3. 3.

        Approximate volumes of irregular objectsHS.LP8.2.3

      4. 4.

        Approximate density of irregular objectsHS.LP8.2.4

  •  

    Probability Reasoning

    1.  

      Probability

      1. 1.

        Categorical data & two-way frequency tablesHS.LP9.1.1

      2. 2.

        Interpret probabilities in contextHS.LP9.1.2

Frequently asked questions

What grade levels do these standards cover?
Grade 9, Grade 10, Grade 11, and Grade 12
When were these standards adopted?
2021
Where can I read the official document?
Georgia Mathematics Learning Progressions

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