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Teachers will find resources for the Common Core State Standards and the Standards For Mathematical Practice.
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Resources for understanding the Standards For Mathematical Practice, parent will come to realize that the way their children experience math should be much different than the way they were taught.
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Unit 7 Differential Equations and Mathematical Modeling
Unit 8 Applications of Definite Integrals
Unit 9 Infinite Series
Unit 10 Parametric, Vector, and Polar Functions
Semester II Review
MathHW.net Calculus
The Common Core State Standards for Mathematics defined for grades K-12 can be viewed as a long sequence of standards to prepare students for Calculus, but they stop short of actually defining standards for Calculus. There are Calculus textbooks of course and the AP Calculus exams and course materials to derive goals, objectives, and units. The standards that are listed below are derived from the work performed by Saugus High School in Massachusetts, that map the Common Core standards to an introduction to Calculus course.
Calculus Common Core Map Overview
Preparation for Calculus
Functions: Interpreting Functions
Understand the concept of a function and use function notation.(F-IF.1)
Interpret functions that arise in applications in terms of the context.(F-IF.4, F-IF.5)
Analyze functions using different representations.(F-IF.7a, F-IF.8a)
Functions: Building Functions
Build a function that models a relationship between two quantities.(F-BF.1b, F-BF.1c)
Limits and Their Properties
Functions: Interpreting Functions
Understand the concept of a function and use function notation.(F-IF.1, F-IF.2)
Interpret functions that arise in applications in terms of the context.(F-IF.4)
Analyze functions using different representations.(F-IF.7d, F-IF.8)
Differentiation
Functions: Interpreting Functions
Interpret functions that arise in applications in terms of the context.(F-IF.4)
Analyze functions using different representations.(F-IF.6, F-IF.7, F-IF.8a, F-IF.9)
Functions: Linear, Quadratic, and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems. (F-LE.3)
Functions: Trigonometric Functions
Model periodic phenomena with trigonometric functions. (F-TF.6)
Applications of Derivatives
Functions: Interpreting Functions
Interpret functions that arise in applications in terms of the context.(F-IF.6)
Analyze functions using different representations.(F-IF.7,F-IF.7a, F-IF.8a, F-
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