Mission Statement



Chapter 7 Goal: Students will be able to find the integral of any Calculus AB function using the boost and divide, u-substitution, or trigonometric rules. Ch./Obj.ObjectiveVocabularyLesson Plan7.1(1 day)7.1: Students will be able to find the integral of a function that would require power rule to find the derivative; they will be able to find the integral through the boost and divide method.Prior Vocabulary:Power Rule, Derivative, constantNew Vocabulary:Integral, IntegrationSpiral: Find the derivative; switch papers; find the integralNew: Find the integral through backwards power ruleAssess: (White Boards)Worksheet: Boost & Divide7.2(1.5 day)7.2: Students will be able to find the original function given the derivative using the boost and divide method with trigonometric and power rule functions; as well as, find the constant of the original function. Prior Vocabulary:Power Rule, constantNew Vocabulary:Integral, Integration, particular solutionSpiral: Find the integral of the sine and cosine functionsNew: Finding the constant of the original function and memorizing the integrals of simple trig functions. Assess: (Call outs)Worksheet: Particular Solution7.3(.5 day)7.3: Students will be able to find the integral of a function using the u-substitution method of integrals and realize how this related to doing the chain rule of differentiation.Prior Vocabulary:Chain Rule, Derivative, constantNew Vocabulary:U-substitution, IntegralSpiral: Find the derivative of a function using chain ruleNew: Replacing a term of a function with a variable and performing operations with that variable. Assess: (Ind-Board)Worksheet: U-Substitution7.4(1 day)7.4: Students will be able to find the integral of functions that when using u-substitution require algebra to substitute two variables of x-values with u-values. Prior Vocabulary:Chain Rule, Derivative, constantNew Vocabulary:U-substitution, IntegralSpiral: Ask the students to find the integral of a function that requires more than one u-substitution and see what they do. New: replacing two x-variables with u-variables. Assess: (Ind-Board)Worksheet: Advanced U-Substitution7.5(1 day)7.5 Students will be able to distinguish between using u-substitution and boost & divide. They will also be able to execute both of these concepts on any non-trigonometric calculus AB problem.Prior Vocabulary:Chain Rule, Derivative, constant, IntegralNew Vocabulary:U-substitution, Boost & DivideSpiral: Ask the students when to use u-sub and how to use boost and divideNew: Integrating the two concepts into one worksheetAssess: (Call-outs)Worksheet: Differentiating between U-sub and Boost & DivideChapter 7 Goal: Students will be able to find the integral of any Calculus AB function using the boost and divide, u-substitution, or trigonometric rules. Ch./Obj.ObjectiveVocabularyLesson Plan7.6(1.5 day)7.6: Students will be able to use the u-substitution method with trigonometric functions and the rules for integration with trigonometry learned prior in this chapter. Prior Vocabulary:Trigonometry, Chain RuleNew Vocabulary:U-Substitution, Trig Rules, IntegrationSpiral: Find the integral of a trig function using the rules that were learned on lesson 7.2New: Using U-Sub with trig functionsAssess: (Call outs)Worksheet: U-Substitution with Trigonometry7.7(.75 day)7.7: Students will be able to find the integral of exponential functions using the U-Substitution method and apply that method to find a particular solution. Prior Vocabulary:Exponential Functions, DerivativeNew Vocabulary:U-Substitution, IntegralSpiral: Find the derivative of a exponential functionNew: Use U-Sub with exponential functions Assess: (Popcorn)Worksheet: Integrating Exponents7.8(.75 day)7.8: Students will be able to find the integral of logarithmic functions using the U-Substitution method and apply that method to find a particular solution.Prior Vocabulary:Logarithmic Functions, DerivativeNew Vocabulary:U-Substitution, IntegralSpiral: Find the derivative of logarithmic functions New: Use U-Sub with logarithmic functionsAssess: (Popcorn)Worksheet: Integrating Logarithms7.9(1 day)7.9: Students will be able to differentiate when to use certain integration rules and apply those rules to find the correct integral with the particular solution of any function they may encounter on the Calculus AB exam. Prior Vocabulary:Derivative, Chain RuleNew Vocabulary:U-Substitution, Boost and Divide, IntegralSpiral: Identify whether to use boost & divide or u-sub to integrate functionsNew: Mixing all the integrals together for practice Assess: (Call-outs)Worksheet: Last of the U-SubsTest(2 day)Review and TestPrior Vocabulary:New Vocabulary:Spiral: New: Assess: Worksheet: ................
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