Pre-Calculus 3126
Chapter 13 - A Preview of Calculus
Vocabulary: Limit, Direct Substitution, Dividing Out Technique, Indeterminate Form, Rationalizing Technique, One-Sided Limits, Tangent Line, Secant Line, Slope of a Graph, Difference Quotient, Derivative, Limits at Infinity
Writing Prompts: A. Describe numerically, graphically, verbally, and analytically the concept of a limit. B. What is a derivative? C. Describe the relationship of the integral and the derivative in detai.
Code	LE's & SPI's	Fundamental Course Skills	Sample Assignment
S	SPI 2.6 Demonstrate an understanding of  the concept of the limit of a function.	Find a limit using a table.	2 Days ~ 13.1         p. 948-949 #1-41 odd
S	SPI 2.6 Demonstrate an understanding of  the concept of the limit of a function.	Find a limit using a graph.
S	SPI 2.6 Demonstrate an understanding of  the concept of the limit of a function.	Find a limit using a graphing utility.
S	SPI 2.6 Demonstrate an understanding of  the concept of the limit of a function.	Find the limit of a sum, difference, product, quotient, power, and root.	2 Days  ~ 13.2       p. 956-957 #1-45 odd
S	SPI 2.6 Demonstrate an understanding of  the concept of the limit of a function.	Find the limit of an average rate of change.
S	SPI 2.6 Demonstrate an understanding of  the concept of the limit of a function.	Compute one-sided limits.	1 Day ~ 13.3          p. 963-964 #21-32, 33-47 odd
S	SPI 2.9 Apply limits to develop the concept of continuity and identify intervals of increase and decrease.	Determine wheter a function is continuous.
P	Pre-requisite from previous courses.	Find the slope of a secant line.	5 Days ~ 13.4         p. 971-972 1-41
S	SPI 2.7 Apply the limit of a function to find the slope of a line tangent to a curve.	Find the slope of a tangent line.
S	SPI 2.8 Write equations of tangents and normals to conic sections.	Find the equation of a tangent line.
S	SPI 2.7 Apply the limit of a function to find the slope of a line tangent to a curve.	Find the Derivative.
S	SPI 2.7 Apply the limit of a function to find the slope of a line tangent to a curve.	Find the instantaneous rate of change.
E		Find the area under the curve of a function.	2 Days ~ 13.5        p. 979-980 #1-25 odd
E		Approximate integrals using a graphing utility.
		Chapter Review	3 Days ~ p. 982-984 #1-75 odd
This unit will take a total of 15 days to cover this chapter including the test.