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Student
Learning Objective (SLO) |
High-Risk Issue
(Why is it difficult for the students?) |
Enhanced
Academic Support (activity or way that the SLO is presented?) Be specific |
Evaluation (How
will you measure?) Be
Specific |
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The student
will be able to: | |||
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Limits |
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Compute the rate of change and tangents of a function |
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Post-Test #4 |
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Define limit and continuous functions or apply these concepts to polynomial, rational, root or piecewise functions |
Problem
1: Find the limit of a rational function |
Common in class
group work involving limits of factorable and non factorable rational
functions. |
Number of students that score a 70% or better on the worksheet. Worksheet questions will be graded right or wrong. No partial credit will be given. Post-Test # 1, 2, 10, 11 |
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Use the definition of a derivative to find the derivative of a polynomial, rational, root or piecewise function |
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Post-Test # 3 |
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Derivatives |
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Use the constant function rule, power rule, coefficient rule, sum rule, product rule, or quotient rule to find the derivative of a polynomial, rational, root or piecewise function |
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Post-Test # 6 |
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Find the derivative of a composite function using the chain rule or generalized power rule (PT #7) |
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Post-Test # 7 |
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Find the derivative of exponential and logarithmic functions (PT # 8) |
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Post-Test # 8 |
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Use the derivative to find the slope of a tangent line to a curve or instantaneous rate of change (PT # 5) |
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Post-Test # 5 |
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Find functional values, domain and/or partial derivative of functions of several variables (PT # 20) |
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Post-Test # 20 |
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Applications of
Derivatives |
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Find the derivative of any order use the derivatives to determine the direction, concavity, local and/or absolute extrema, and/or point(s) of inflection (PT # 9, 12,13) |
Problems 11
& 12: Applying stated concepts of limits and
derivatives |
In class work
sheet where student answer questions about graphs that relate to limits,
first and second derivatives, and/or absolute
extremes |
Number of students that score a 70% or better on the worksheet. Worksheet questions will be graded right or wrong. No partial credit will be given. Post-Test #9, 12, 13 |
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Applications of
Derivatives |
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Use implicit differentiation and be able to solve related rate problems |
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11 |
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Find higher order derivates, differentials, linear approximations. Find local and/or absolute extrema, direction, concavity, points of inflection, asymptotes and/or apply those concepts to sketching a function |
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12, 13, 14 |
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Solve applied max and min problems |
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15 |
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Integration |
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Find general and particular antiderivatives |
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16, 20 |
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Use summation notation and calculate approximations to definite integrals and use the Fundamental Theorem of Calculus and find the area under the curve |
Ability to manipulate summation notation, perform basic algebraic manipulations |
Math XL homework. We will track the number of students whose composite HW grade is at least 70% |
17, 18 |
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Apply the substitution principal to finding integrals |
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19 |