Calculus | Printable Lessons, Exercises, and Assessments with Answer Keys | 758 Items, 394 pages | Grade 9-12

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3 in 1: Teaching Reference Guide + Student Worksheets + Teaching Strategies Reference

This learning material is consists of 758 ITEMS of PRINTABLE lessons, exercises, and assessments for the Calculus subject.

Best for:
• Daily classroom discussions
• Classroom activities
• Homeschooling sessions
• Take home learning modules
• Tutoring
• Reviewer

Features:
• A complete learning module for a whole semester.
• Incorporates teaching strategies and methods from “Teach Like A Champion (TLAC) by Doug Lemov.”
• Includes engaging activities that promote interactions with peers and the learning by doing teaching approach.
• Includes colored and comprehensive figures, charts, and diagrams.
• Easy to print materials with standard letter size paper (21.59cm x 27.94cm).

Topics Covered:

PART 1 : LIMITS AND CONTINUITY

• Illustrating the limit of a function using a table of values and graph of the function.
• Distinguishing between (lim)┬(x→c)⁡〖f(x)〗 and f(c)and illustrating one-sided limits, two – sided limits, and existence & non – existence
• Illustrating and applying the limit laws in evaluating the limit of algebraic functions (polynomial, rational and radical)
• Computing the limits of exponential, logarithmic, and trigonometric functions using a table of values and graphs of the functions and evaluating limits involving the expressions sin⁡t/t, 〖1-cos〗⁡t/t, and (e^t-1)/t using a table of values.
• Illustrating continuity of a function at a number and determining whether a function is continuous at a number or not.
• Illustrating continuity of a function on an interval and determining whether a function is continuous on an interval or not.
• Illustrating different types of discontinuity.
• Illustrating the Intermediate Value and Extreme Value Theorem
• Solving problems involving the continuity of a function.


PART 2 : DERIVATIVES

• Illustrating the Tangent Line to The Graph of a Function at A Given Point.
• Applying the Definition of The Derivative of a Function at A Given Number.
• Relating Derivative of a Function to The Slope of The Tangent Line.
• Determining the Relationship Between Differentiability and Continuity of a Function.
• Deriving the Differentiation Rules.
• Applying the Differentiation Rules in Computing the Derivative of An Algebraic, Exponential and Trigonometric Functions.
• Solving Optimization Problems.
• Computing Higher – Order Derivatives of Functions.
• Illustrating Chain Rule of Differentiation.
• Solving Problems Using Chain Rule.
• Illustrating Implicit Differentiation.
• Solving Problems (Including Logarithmic and Inverse Trigonometric Functions) Using Implicit Differentiation
• Solving Situational Problems Involving Related Rates.


PART 3 : INTEGRATION

• Illustrating an Antiderivative of a function
• Computing the antiderivative of polynomial, radical, exponential, and trigonometric functions
• Computing the antiderivative of a function using substitution rule.
• Solving separable differential equations using antidifferentiation
• Solving situational problems involving exponential growth and decay, bounded growth, and logistic growth
• Approximating the area of a region under a curve using Riemann Sums
• Defining the definite integral as a limit of Riemann Sums
• Illustrating the Fundamental Theorem of Calculus
• Computing the definite integral of function using the Fundamental Theorem of Calculus.