3. Growing, Growing, Growing - CMS Goals

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Recognize and describe situations in which variables grow and decay exponentially.

Represent exponential patterns with tables, graphs, and equations.

Recognize exponential patterns with tables, graphs, and equations.

Compare and contrast exponential relationships and linear relationships

Determine growth factors and decay factors in exponential situations.

Use tables, graphs and equations to solve problems involving exponential growth and exponential decay.

Describe the effects of varying the values of a and b in the equation y = a(bx) on the graph of that equation.

 

 

1. Exponential Growth (In 1)

    1.1    Making Ballots

    1.2   Requesting a Reward

    1.3   Making a New Offer

            ACE Questions  (1 - 116 )

 

To gain an intuitive understanding of basic exponential growth patterns.

To begin to recognize exponential patterns in tables, graphs, and equations.

To solve problems involving exponential growth.

To express a number that is the product of identical factors in exponential form and standard form.

 

2.   Growth Patterns   (Inv 2)

    2.1   Getting Costs in Line

    2.2   Listening to the Queen

    2.3   Growing Mold

            ACE Questions ( 1 - 16 )

              

 

To recognize patterns of exponential growth in tables and equations.

To compare and contrast exponential growth and linear growth.

To reason with and solve problems involving exponents and exponential growth.

To determine the grown factor in a given exponential model.

 

3.  Growth Factors  (Inv. 3)

    3.1   Reproducing Rabbits

    3.2   Investing for the Future

    3.3   Making a Difference

            ACE Questions  ( 1 - 18 )

 

 

To determine growth factors and create representations of an exponential population model given sample date.

To investigate increases in the value of an asset due to compound growth.

To review and extend the understanding of percent.

  

4.   Exponential Decay (Inv 4)

    4.1   Making Smaller Ballots

    4.2   Fighting Fleas

    4.3   Exploring Exponential Equations

    4.4   Cooling Water

            ACE Questions  ( 1 - 10 )

 

To recognize patterns of exponential decay in tables, graphs, and equations.

To use knowledge of exponents to write equations for models of exponential decay.

To reason about problems involving exponents and exponential decay.

To describe the effect of varying the values of a and b in the equation  y=a(bx)  on the graph of that equation.