

Algebra
and Functions The Algebra and Functions strand develops student ability to recognize, represent, and solve problems involving relations among quantitative variables. Central to the development is the use of functions as mathematical models. The key algebraic models in the curriculum are linear, exponential, power, polynomial, logarithmic, rational, and circular functions. Each algebraic model is investigated in at least four linked representations—verbal, graphic, numeric, and symbolic—with the aid of technology. Modeling with systems of equations, both linear and nonlinear, is developed. Attention is also given to symbolic reasoning and manipulation. 
Geometry
and Trigonometry The primary goal of the Geometry and Trigonometry strand is to develop visualization skills and reasoning and the ability to build, interpret, and apply mathematical models involving shape and motion. The focus is on describing patterns with regard to shape, size, and location; representing patterns with drawings, coordinates, or vectors; predicting changes and invariants in figures under transformations; and organizing geometric facts and relationships through deductive reasoning. 

Statistics
and Probability The primary role of the Statistics and Probability strand is to develop student ability to analyze data intelligently, to recognize and measure variation, and to understand the patterns that underlie probabilistic situations. The ultimate goal is for students to understand how inferences can be made about a population by looking at a sample from that population. Graphical methods of data analysis, simulations, sampling, and experience with the collection and interpretation of real data are featured. 
Discrete
Mathematics The Discrete Mathematics strand develops student ability to model and solve problems using recursion, matrices, vertexedge graphs, and systematic counting methods (combinatorics). Key themes are discrete mathematical modeling, optimization, and algorithmic problem solving. 
Download Courses 1–3 and Course 4: Preparation for Calculus Unit and Lesson Objectives (395 KB).
Correlations
A correlation between the Common Core State Standards (CCSS) and CorePlus
Mathematics Courses 1–3 and Course 4: Preparation
for Calculus is available from McGrawHill
Education (ISBN 9780076658145).
STRANDS  

Algebra & Functions 
Geometry & Trigonometry 
Statistics & Probability 
Discrete Mathematics 

Course 4  
Unit 1  Families of Functions  Families of Functions  
Unit 2  Vectors and Motion  
Unit 3  Algebraic Functions and Equations  
Unit 4  Trigonometric Functions and Equations  
Unit 5  Exponential Functions, Logarithms, and Data Modeling  Exponential Functions, Logarithms, and Data Modeling  
Unit 6  Surfaces and Cross Sections  
Unit 7  Concepts of Calculus  
Unit 8  Counting Methods and Induction 
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