Grade 9-12 Mathematics Program Overview

The high school mathematics program offers a variety of courses that are designed to give students the mathematical skills and knowledge required for their future.  Algebraic and geometric thinking and applied mathematics are essential for all students.

The high school mathematics program includes courses from Foundations of NC Math 1 through Advanced Placement (AP) Calculus AB. The variety of courses is intended to offer opportunities that address the needs of individual students.

            High School Course Offerings

          • Occupational Course of Study - Introduction to Mathematics
          • Occupational Course of Study -  NC Math 1
          • Occupational Course of Study -  Financial Management
 
          • Foundations of NC Math 1
          • NC Math 1
          • Foundations of NC Math 2

          • NC Math 2                                              • Honors NC Math 2

          • NC Math 3                                              • Honors NC Math 3

          • Advanced Functions and Modeling (AFM)
       
          • Essentials for College Math (SREB Math READY Course) 

          • Discrete Mathematics                            • Honors Discrete Math

          • Pre-Calculus - Honors

          • Probability & Statistics - Honors            • Advanced Placement (AP) Statistics

          • Introduction to Derivatives - Honors      • Advanced Placement (AP) Calculus AB

Problem solving and mathematical reasoning are stressed throughout the goals in every high school math course.  The development of problem solving skills is a major goal of the mathematics program.  Experiences in problem solving will permeate mathematics instruction.

Mathematical modeling is an important technique used to build understanding of abstract ideas.  Students will utilize physical representations to better understand abstract mathematical concepts.  Manipulatives to support hands-on activities will be used regularly for instruction and assessment. 

The high school math standards are listed in conceptual categories:
   Number & Quantity; Algebra; Functions; Geometry; Statistics
 & Probability; and Modeling.

 

Calculator Use:  Calculators are useful tools that link students to the world of technology while allowing them to demonstrate their understanding of complex mathematical problems.  Students are allowed to use graphing calculators on the following State-developed high school mathematics tests:  North Carolina READY Math I End-of-Course Test; North Carolina Final Exam for Math II; North Carolina Final Exam for Math III; North Carolina Final Exam for Advanced Functions & Modeling; North Carolina Final Exam for Pre-Calculus; North Carolina Final Exam for Discrete Math.

 

Click the link below to access the most up-to-date North Carolina Standard Course of Study for Mathematics  Support Tools   
http://maccss.ncdpi.wikispaces.net/REVISED+High+School+Math+Standards+6-2016
 
 
 
 
High School Conceptual Categories

Number and Quantity Overview 

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

The Real Number System                                      

  • Extend the properties of exponents to rational exponents.
  • Use properties of rational and irrational numbers. 

Quantities 

  • Reason quantitatively and use units to solve problems.

The Complex Number System

  • Perform arithmetic operations with complex numbers.
  • Represent complex numbers and their operations on the complex plane.
  • Use complex numbers in polynomial identities and equations. 

Vector and Matrix Quantities

  • Represent and model with vector quantities.
  • Perform operations on vectors.
  • Perform operations on matrices and use matrices in applications. 

 
Algebra Overview 

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

Seeing Structure of Expressions                                      

  • Interpret the structure of expressions.
  • Write expressions in equivalent forms to solve problems. 

Arithmetic with Polynomials and Rational Expressions 

  • Perform arithmetic operations on polynomials.
  • Understand the relationship between zeros and factors of polynomials. 
  • Use polynomial identities to solve problems.
  • Rewrite rational expressions.

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.
  • Solve equations and inequalities in one variable.
  • Solve system of equations.
  • Represent and solve equations and inequalities graphically.

 
Functions Overview 

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

 Interpreting Functions                                      

  • Understand the concept of a function and use 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.
  • Build new functions from existing functions. 

Linear, Quadratic, and Exponential Models

  • Construct and compare linear, quadratic, and exponential models and solve problems.
  • Interpret expressions for functions in terms of the situation they model. 

Trigonometric Functions

  • Extend the domain of trigonometric functions using the unit circle.
  • Model periodic phenomena with trigonometric functions.
  • Prove and apply trigonometric identities.
Geometry Overview  

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

 Congruence                                      

  • Experiment with transformations in the plane.
  • Understand congruence in terms of rigid motions.
  • Prove geometric theorems.
  • Make geometric constructions. 

Similarity, Right Triangles, and Trigonometry 

  • Understand similarity in terms of similarity transformations.
  • Prove theorems involving similarity. 
  • Define trigonometric ratios and solve problems involving right triangles.
  • Apply trigonometry to general triangles.

Circles

  • Understand and apply theorems about circles.
  • Find arc lengths and areas of sectors of circles. 

Expressing Geometric Properties with Equations

  • Translate between the geometric description and the equation for a conic section.
  • Use coordinates to prove simple geometric theorems algebraically.

Geometric Measurement and Dimension 

  • Explain volume formulas and use them to solve problems.
  • Visualize relationships between two-dimensional and three-dimensional objects.

Modeling with Geometry

  • Apply geometric concepts in modeling situations.
 
 Statistics and Probability Overview 

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

Interpreting Categorical and Quantitative Data                                      

  • Summarize, represent, and interpret data on a single count or measurement variable.
  • Summarize, represent, and interpret data on two categorical and quantitative variable.
  • Interpret linear models. 

Making Infrences and Justifying Conclusions 

  • Understand and evaluate reandom processes underlying statistical experiments.
  • Make inferences and justify conclusions from sample surveys, experiments and observational studies. 

Conditional Probability and th 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. 

Using Probability to Make Decisions

  • Calculate expected values and use them to solve problems.
  • Use probability to evaluate outcomes of decisions.

 

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