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