What Should Students Learn (9-12)

Number & Operation

  • The Real Number System

  • Quantities

  • The Complex Number System

  • Vector & Matrix Quantities

Algebra

  • Seeing Structure in Expressions

  • Arithmetic with Polynomials & Rational Expressions

  • Creating Equations

  • Reasoning with Equations & Inequalities

Functions

  • Interpreting Functions

  • Building Functions

  • Linear, Quadratic, & Exponential Models

  • Trigonometric Functions

Modeling

  • Writing total cost as a product of unit price & number bought

  • Using geometric shape to describe a physical object like a coin

  • Making choices

Geometry

  • Congruence

  • Similarity, Right Triangles, & Trigonometry

  • Circles

  • Expressing Geometric Properties with Equations

  • Geometric Measurement & Dimension

  • Modeling with Geometry

Statistics & Probability

  • Interpreting Categorical & Quantitative Data

  • Making Inferences & Justifying Conclusions

  • Conditional Probability & the Rules of Probability

  • Using Probability to Make Decisions

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