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Mathematics (MAT)12Advanced StreamT01N/AN/AChapter 01Precalculus ReviewLesson 01Polynomials and Rational FunctionsN/ARefer to teacher guideSupplement with digital resource found on LMS such as  Al Madrasa, Boclips, Lernatic, EdushareThese two weeks can be used to get to know your students, establish classroom routines, finalize class lists, and administer teacher-created diagnostics. It is also an opportunity to review the prerequisite concepts in Chapter 1. While these lessons will not be assessed directly, mastery of the material contained therein is extremely important for students’ success in Calculus.
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N/AN/ALesson 02Inverse FunctionsN/ARefer to teacher guide
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N/AN/ALesson 03Trigonometric and Inverse FunctionsN/ARefer to teacher guide
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N/AN/ALesson 04Exponential and Logarithmic FunctionsN/ARefer to teacher guide
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N/AN/ALesson 05Transformations of FunctionsN/ARefer to teacher guide
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N/AN/AChapter 02Limits and ContinuityLesson 01A Brief Preview of Calculus: Tangent Lines and the Length of a CurveN/ARefer to teacher guideMAT.5.06.07.001Estimate the slope for a given function at a given point using tables
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N/AN/AN/ARefer to teacher guideMAT.5.06.07.002Estimate an arc length for a given function
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N/AN/ALesson 02The Concept of LimitN/ARefer to teacher guideMAT.6.01.07.001Find the limit of a function algebraically and graphically, if it exists
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N/AN/AN/ARefer to teacher guideMAT.6.01.07.002Study the existence of a limit by checking one-sided limits
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N/AN/AN/ARefer to teacher guideMAT.6.01.07.003Learn the concept of limits
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N/AN/ALesson 03Computation of LimitsN/ARefer to teacher guideMAT.6.01.07.004Find limits for polynomials, rational, and trigonometric functions using theorems
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N/AN/AN/ARefer to teacher guideMAT.6.01.07.005Use the squeeze theorem to find limits
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N/AN/ALesson 04Continuity and its ConsequencesN/ARefer to teacher guideMAT.6.01.08.001Study the continuity of a function at a given point
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N/AN/AN/ARefer to teacher guideMAT.6.01.08.002
Use the continuity properties to study the continuity of a function or a composition of functions at a given point
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N/AN/AN/ARefer to teacher guideMAT.6.01.04.001Use the Intermediate Value Theorem to determine the zeros of a function
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N/AN/ALesson 05Limits Involving Infinity; AsymptotesN/ARefer to teacher guideMAT.6.01.03.001Find infinite limits and limits at infinity
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N/AN/AN/ARefer to teacher guideMAT.6.01.03.002Find horizontal, vertical, and slant asymptotes using limits
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N/AN/AChapter 03DifferentiationLesson 01Tangent Lines and VelocityN/ARefer to teacher guideMAT.6.02.02.001Link and interpret the slopes of a secant line and tangent line
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N/AN/AN/ARefer to teacher guideMAT.6.02.02.002Write the equation of a tangent line to a graph at a given point using limits
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N/AN/AN/ARefer to teacher guideMAT.6.02.03.001Find the average and instantaneous velocity at a given point
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N/AN/AN/ARefer to teacher guideMAT.6.02.03.002Solve mathematical and real-life problems using derivatives
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N/AN/ALesson 02The DerivativeN/ARefer to teacher guideMAT.6.02.04.001Find the derivative of a function at a given point
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N/AN/AN/ARefer to teacher guideMAT.6.02.04.002Sketch the graph of a function using that of its derivative
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N/AN/AN/ARefer to teacher guideMAT.6.02.04.003Understand the relationship between continuity and differentiability
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N/AN/AN/ARefer to teacher guideMAT.6.02.04.004Study the differentiability of a function at a given point
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N/AN/AN/ARefer to teacher guideMAT.6.02.05.001Estimate the derivative at a given point using tables
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N/AN/ALesson 03Computation of Derivatives: The Power RuleN/ARefer to teacher guideMAT.6.02.05.002Find the derivative of a function using the Power Rule at a given point
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N/AN/AN/ARefer to teacher guideMAT.6.02.05.003Find the nth derivative of a function
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N/AN/AN/ARefer to teacher guideMAT.6.02.05.004Use differentiation rules and higher derivatives in solving real-life problems
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N/AN/ALesson 04The Product and Quotient RulesN/ARefer to teacher guideMAT.6.02.05.005Apply the Product Rule on derivatives
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N/AN/AN/ARefer to teacher guideMAT.6.02.05.006Apply the Quotient Rules on derivatives
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N/AN/AN/ARefer to teacher guideMAT.6.02.05.007Solve real-life problems using the product and quotient rules
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N/AN/ALesson 05The Chain RuleN/ARefer to teacher guideMAT.6.02.05.008Apply the chain rule for differentiation
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N/AN/AN/ARefer to teacher guideMAT.6.02.05.009Find the derivative of an inverse function using the Chain Rule
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N/AN/ALesson 06Derivatives of Trigonometric FunctionsN/ARefer to teacher guideMAT.6.02.06.001Find the derivatives of trigonometric functions using differentiation rules
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N/AN/AN/ARefer to teacher guideMAT.6.02.06.002Solve physical and engineering problems using derivatives of trigonometric functions
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N/AN/ALesson 07Derivatives of Exponential and Logarithmic FunctionsN/ARefer to teacher guideMAT.6.02.06.003Find the derivatives of exponential functions
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N/AN/AN/ARefer to teacher guideMAT.6.02.06.004Find the derivatives of natural logarithmic functions
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N/AN/AN/ARefer to teacher guideMAT.6.02.06.005Solve real-life problems using derivatives of exponential and logarithmic functions
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N/AN/ALesson 08Implicit Differentiation and Inverse Trigonometric FunctionsN/ARefer to teacher guideMAT.6.02.07.001Find derivatives implicitly
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N/AN/AN/ARefer to teacher guideMAT.6.02.07.002Use implicit differentiation to find derivatives of inverse trigonometric functions
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N/AN/AN/ARefer to teacher guideMAT.6.02.07.003Solve mathematical and real-life problems using implicit differentiation
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N/AN/ALesson 10The Mean Value TheoremN/ARefer to teacher guideMAT.6.02.09.001Learn Rolle's Theorem and use it in applications
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N/AN/AN/ARefer to teacher guideMAT.6.02.09.002Learn the Mean Value Theorem and use it in applications
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