This set of 45 task cards can be used to review for an end of the year calculus exam or for the Calculus BC exam.
In the new curriculum framework for Calculus BC divides the topics by their Big Idea and their Learning Objective. So these 45 cards have also been divided by those same two categories.
You can separate the cards into the three groups by their Big Idea:
• Blue cards are on the Big Idea of Limits.
• Salmon colored cards are on the Big Idea of Derivatives.
• Gray colored cards are on the Big Idea of Integration and the Fundamental Theorem of Calculus.
• Green cards are on the Big Idea of Series
In addition each card has a blue triangle with the learning objective identified with a number:
• 1.1 Determining limits of functions
• 1.1 Determining the applicability of important calculus theorems using continuity
• 1.2 Analyzing functions for intervals of continuity or points of discontinuity
• 2.1 Identifying the derivative of a function as a limit of a difference quotient
• 2.1 Calculating derivatives
• 2.2 Using derivatives to analyze properties of a function
• 2.3 Solving problems involving related rates, optimization, rectlinear motion, or planar motion
• 2.3 Interpreting the meaning of a derivative within a problem
• 2.3 Estimating solutions to differential equations
• 2.4 Applying the Mean Value Theorem to describe the behavior of a function over an interval
• 3.2 Approximating a definite integral
• 3.2 Calculating a definite integral using area and properties of definite integrals
• 3.2 Interpreting the definite integral as the limit of a Riemann Sum
• 3.2 Evaluating an improper integral or showing that an improper integral diverges
• 3.3 Evaluating definite integrals
• 3.3 Analyzing functions defined by an integral
• 3.3 Calculating antiderivatives
• 3.4 Applying definite integrals to problems involving area and volume and length of a curve
• 3.4 Applying definite integrals to problems involving motion
• 3.4 Applying definite integrals to problems involving average value of a function
• 3.4 Interpreting the meaning of a definite integral with a problem
• 3.4 Using the definite integral to solve problems in various contexts
• 3.5 Analyzing differential equations to obtain general and specific solutions
• 3.5 Interpreting, creating, or solving differential equations from problems in context
• 4.1 Determining or estimating the sum of series
• 4.1 Determining whether a series converges or diverges
• 4.2 Determining the radius and interval of convergence of a power series
• 4.2 Constructing and using Taylor Polynomials
• 4.2 Writing a power series representing a given function
A complete set of solutions is included with the cards. On the solution key is the card number, the questions, the learning objective, and the solution.
The questions have been modeled after questions used on AP practice exams.
When it is appropriate to use the graphing calculator to answer a question, the card clearly states that it is a GRAPHING CALCULATOR QUESTION.
When similar questions are given on the AP exam, students have on an average two minutes to complete a non-graphing calculator question and three minutes to complete a calculator active question.
This set of task cards is identical to the set "BC Review Task Cards" that is also available in my store. This set of cards come with QR Codes. The QR codes have been placed on a separate sheet so the teacher can determine when a student uses their QR reader to check the solution. The QR code will send the student to a full solution of the question.
Comments from a buyer:
Nice comprehensive review. Thanks !