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7Filling and Wrapping
*38Frogs, Fleas, and Painted Cubes  Quadratic Relationship
*48Growing, Growing, Growing  Exponential Growth
*78Looking for Pythagoras  The Pythagorean Theorem
*18Thinking With Mathematical Models  Linear and Inverse Variation
*28The Shapes of Algebra  Linear Systems and Inequalities
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Math III
Math III
Math II and
Math III
Major Work of NC Local Option Math II
High School
Major Clusters
Supporting/Additional Clusters
The Real Number System
Extend the properties of exponents to rational exponents.
Quantities
Reason quantitatively and use units to solve problems.
Seeing the Structure in Expressions
Interpret the structure of expressions.
Write expressions in equivalent forms to solve problems.
Arithmetic with Polynomials and Rational Expressions
Understand the relationship between zeros and factors of polynomials.
Creating Equations
Create equations that describe numbers or relationships.
Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning.
Represent and solve equations and inequalities graphically.
Interpreting Functions
Understand the concept of a function and understand function notation.
Interpret functions that arise in applications in terms of the context.
Analyze functions using different representations.
Building Functions
Build a function that models a relationship between two quantities.
Congruence
Prove geometric theorems.
Similarity, Right Triangles, and Trigonometry
Define trigonometric ratios and solve problems involving right triangles.
Modeling with Geometry
Apply geometric concepts in modeling situations.
Making Inferences and Justifying Conclusions
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials.
Reasoning with Equations and Inequalities
Solve equations and inequalities in one variable.
Solve systems of equations.
Building Functions
Build new functions from existing functions.
Congruence
Experiment with transformations in the plane.
Understand congruence in terms of rigid motions.
Make geometric constructions.
Similarity, Right Triangles, and Trigonometry
Apply trigonometry to general triangles.
Expressing Geometric Properties with Equations
Translate between the geometric description and the equation for a conic section. (Here because of circles.)
Geometric Measurement and Dimension
Visualize relationships between two‐dimensional and three‐dimensional objects.
Making Inferences and Justifying Conclusions
Understand and evaluate random processes underlying statistical experiments.
Conditional Probability and the Rules of Probability
Understand independence and conditional probability and use them to interpret data.
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Major Work of NC Local Option Math III
High School
Major Clusters
Supporting/Additional Clusters
Quantities
Reason quantitatively and use units to solve problems.
Seeing the Structure in Expressions
Interpret the structure of expressions.
Write expressions in equivalent forms to solve problems.
Arithmetic with Polynomials and Rational Expressions
Understand the relationship between zeros and factors of polynomials.
Creating Equations
Create equations that describe numbers or relationships.
Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning.
Represent and solve equations and inequalities graphically.
Interpreting Functions
Understand the concept of a function and understand function notation.
Interpret functions that arise in applications in terms of the context.
Analyze functions using different representations.
Building Functions
Build a function that models a relationship between two quantities.
Linear, Quadratic and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems.
Congruence
Prove geometric theorems.
Modeling with Geometry
Apply geometric concepts in modeling situations.
Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on a single count or measurement variable.
Making Inferences and Justifying Conclusions
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
The Real Number System
Use properties of rational and irrational numbers.
The Complex Number System
Perform arithmetic operations with complex numbers.
Use complex numbers in polynomial identities and equations.
Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials.
Use polynomial identities to solve problems.
Rewrite rational expressions.
Reasoning with Equations andInequalities
Solve equations and inequalities in one variable.
Building Functions
Build new functions from existing functions.
Trigonometric Functions
Extend the domain of trigonometric functions using the unit circle.
Model periodic phenomena with trigonometric functions.
Prove and apply trigonometric identities.
Congruence
Experiment with transformations in the plane.
Make geometric constructions.
Similarity, Right Triangles, and Trigonometry
Understand similarity in terms of similarity transformations.
Prove theorems involving similarity.
Expressing Geometric Properties with Equations
Translate between the geometric description and the equation for a conic section. (Here because of circles.)
Circles
Understand and apply theorems about circles.
Find arc lengths and areas of sectors of circles.
Making Inferences and Justifying Conclusions
Understand and evaluate random processes underlying statistical experiments.
Using Probability to Make Decisions
Use probability to evaluate outcomes of decisions.
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Math III
Math III
Math II and Math III
Major Work of NC Local Option Math II
High School
Quantities
Seeing the Structure in Expressions
Arithmetic with Polynomials and Rational Expressions
Creating Equations
Reasoning with Equations and Inequalities
Interpreting Functions
 Understand the concept of a function and understand function notation.
 Interpret functions that arise in applications in terms of the context.
 Analyze functions using different representations.
Building FunctionsCongruence
 Prove geometric theorems.
Similarity, Right Triangles, and TrigonometryModeling with Geometry
 Apply geometric concepts in modeling situations.
Making Inferences and Justifying ConclusionsReasoning with Equations and Inequalities
Building Functions
Congruence
Similarity, Right Triangles, and Trigonometry
Expressing Geometric Properties with Equations
Geometric Measurement and Dimension
Making Inferences and Justifying Conclusions
Conditional Probability and the Rules of Probability
Major Work of NC Local Option Math III
High School
Seeing the Structure in Expressions
Arithmetic with Polynomials and Rational Expressions
Creating Equations
Reasoning with Equations and Inequalities
Interpreting Functions
Building Functions
Linear, Quadratic and Exponential Models
Congruence
 Prove geometric theorems.
Modeling with Geometry Apply geometric concepts in modeling situations.
Interpreting Categorical and Quantitative DataMaking Inferences and Justifying Conclusions
The Complex Number System
Arithmetic with Polynomials and Rational Expressions
Reasoning with Equations andInequalities
Building Functions
Trigonometric Functions
Congruence
Similarity, Right Triangles, and Trigonometry
Expressing Geometric Properties with Equations
Circles
Making Inferences and Justifying Conclusions
Using Probability to Make Decisions