Mission Statement



Chapter 3 Goal: Students will be able to calculate the average rate of change and the instantaneous rate of change for different time intervals using formulas, tables or graphs. They will also be able to use all the rules of derivatives to find the instantaneous rate of change of any Calculus 1 function. Ch./Obj.ObjectiveVocabularyLesson Plan3.1(1 day)3.1: Students will be able to calculate the average rate of change given a displacement formula and two given time variables. Prior Vocabulary:Velocity, speed, displacement, distance, time, averageNew Vocabulary:InstantaneousSpiral: Show the students how to calculate the distance and velocity given a formulaNew: Find the average velocity given a formulaAssess: (Warm-up) Based on performance on warm-up Worksheet: Introduction to Limits3.2(1 day)3.2: Students will be able to calculate the instantaneous rate of change of different formulas using the definition of a derivative. Prior Vocabulary:formulas, definition, rate of changeNew Vocabulary:derivative, instantaneousSpiral: Estimate the instantaneous rate of change using the average rate of changeNew: Use the definition of a derivative formulaAssess: (White board) Worksheet: Definition of a Derivative3.3(1 days)3.3: Students will be able to use the power rule as a short-cut to find the instantaneous rate of change of a simple polynomial function. Prior Vocabulary:polynomial, terms, rate of change, derivativeNew Vocabulary:power ruleSpiral: Use the definition to calculate the derivative New: Using the power rule to find the derivativeAssess: (Quick Calls)Worksheet: Power Rule3.4(1.5 days)3.4: Students will be able to calculate the derivative of a function that has more complex terms and has entire numerators and denominators.Prior Vocabulary:numerator, terms, denominator, square rootsNew Vocabulary:derivativeSpiral: student will attempt a more difficult power rule problemNew: power rule with fraction exponentsAssess: (Coach & Call) Worksheet: Advanced Power Rule3.5(1 day)3.5: Students will be able to calculate the second derivative of a function and find the derivative of a function using a table. Prior Vocabulary:trigonometry, derivative, tangent lines, instantaneousNew Vocabulary:Derivatives with tablesSpiral: Students will be asked to find the derivative of a derivativeNew: Find the second derivative and derivative with a tableAssess: (Popcorn) Worksheet: Second derivative & derivatives with tablesChapter 3 Goal: Students will be able to calculate the average rate of change and the instantaneous rate of change for different time intervals using formulas, tables or graphs. They will also be able to use all the rules of derivatives to find the instantaneous rate of change of any Calculus 1 function. Ch./Obj.ObjectiveVocabularyLesson PlanQuiz(1.5 days)AROC & Derivatives Quiz3.6(1 day)3.6: Students will be able to determine the derivative of simple trigonometric functions and find the derivative at different values. Prior Vocabulary:continuity, derivative, pointNew Vocabulary:Derivatives with trigSpiral: Find the derivative at a certain valueNew: find the derivative of a trig functionAssess: (Call Out)Worksheet: derivative of simple trig functions3.7(1 day)3.7: Students will be able to calculate the derivative of any exponential function and find the slope of a tangent line at any x-value. Prior Vocabulary:Derivative, trig functions, New Vocabulary:Trig derivativesSpiral: Find the derivative at a certain valueNew: find the derivative of a trig functionAssess: (Call Out)Worksheet: derivative of simple trig functions3.8(1 day)3.8: Students will be able to calculate the derivative of any logarithmic or natural logarithmic function and find the slope of a tangent line at any x-value.Prior Vocabulary:Derivative, logarithmic functions, natural logNew Vocabulary:Natural log derivativesSpiral: Find the derivative at a certain valueNew: find the derivative of a trig functionAssess: (Call Out)Worksheet: derivative of simple trig functions3.9(1 day)3.9: Students will be able to calculate the derivative of a function that has two multiplying polynomial functions at some point using the product rule. Prior Vocabulary:multiplying, polynomial, derivativeNew Vocabulary:product ruleSpiral: Find the derivative of a function using power rule New: apply the product rule to the same function as aboveAssess: (Ind-board) Worksheet: Product Rule3.10(1 day)3.10: Students will be able to calculate the derivative of a function that has two dividing polynomial functions at some point using the quotient rule. Prior Vocabulary:dividing, polynomial, derivativeNew Vocabulary:Quotient ruleSpiral: Find the derivative of a function using power ruleNew: apply the quotient rule to the same function as aboveAssess: (WB Flash) Worksheet: Quotient RuleQuiz(2 days)Quiz 3.5-3.103.11(1 day)3.11: Students will be able to calculate the derivative of any calculus 1 trigonometric function; excluding inverse trig functions. And will be able to find the slope of the tangent line at any given point.Prior Vocabulary:Trigonometry, tangent lineNew Vocabulary:DerivativeSpiral: Find the derivative of a simple trig function New: Advance trig function derivativesAssess: (Ind-Board)Worksheet: Advanced Trig3.12(1 day)3.12: Students will be able to calculate the derivative of a function that has two composite polynomial functions at some point using the chain rule. Prior Vocabulary:composite functions, derivativeNew Vocabulary:Chain RuleSpiral: Find the derivative of a function using power ruleNew: apply the chain rule to the same function as aboveAssess: (WB Flash)Worksheet: Chain Rule3.13(1 day)3.13: Students will be able to use the chain rule to calculate complex multiple composite function equation’s derivative at a certain point. Prior Vocabulary:composite functions, derivativeNew Vocabulary:Chain RuleSpiral: Find the derivative of a function using chain ruleNew: apply the double chain rule to the same function as aboveAssess: (Call Outs)Worksheet: Double Chain RuleChapter 3 Goal: Students will be able to calculate the average rate of change and the instantaneous rate of change for different time intervals using form9144001438337Ch./Obj.ObjectiveVocabularyLesson Plan3.14(1 day)3.14: Students will be able to identify the rule for which they are supposed to apply to a function to find it’s derivative and will be able to do so and find the slope of the tangent line at any point. Prior Vocabulary:derivativeNew Vocabulary:Power, Quotient, Product, chain ruleSpiral: Check to see understanding on when to use whatNew: Just using the rules when they aren’t told what rule to useAssess: (Popcorn) Worksheet: Mixing all the derivativesQuiz(1 day)Quiz 3.11-3.143.15 3.15: Students will be able to take the derivative of any function with multiple variables on each side then solve for the derivative of a certain variable.Prior Vocabulary:Derivative, Power, Quotient, Product, chain ruleNew Vocabulary:Implicit DerivativeSpiral: Take the derivative of a simple function and explain how it works with implicitNew: Taking derivatives with multiple variables on either side.Assess: (Popcorn) Worksheet: Implicit DifferentiationTest(2 days)Review and TestCh./Obj.ObjectiveVocabularyLesson Plan3.14(1 day)3.14: Students will be able to identify the rule for which they are supposed to apply to a function to find it’s derivative and will be able to do so and find the slope of the tangent line at any point. Prior Vocabulary:derivativeNew Vocabulary:Power, Quotient, Product, chain ruleSpiral: Check to see understanding on when to use whatNew: Just using the rules when they aren’t told what rule to useAssess: (Popcorn) Worksheet: Mixing all the derivativesQuiz(1 day)Quiz 3.11-3.143.15 3.15: Students will be able to take the derivative of any function with multiple variables on each side then solve for the derivative of a certain variable.Prior Vocabulary:Derivative, Power, Quotient, Product, chain ruleNew Vocabulary:Implicit DerivativeSpiral: Take the derivative of a simple function and explain how it works with implicitNew: Taking derivatives with multiple variables on either side.Assess: (Popcorn) Worksheet: Implicit DifferentiationTest(2 days)Review and Testulas, tables or graphs. They will also be able to use all the rules of derivatives to find the instantaneous rate of change of any Calculus 1 function. ................
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