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# Linear and Exponential Rates of Change Complete Bundled Unit Lessons 1-6

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Lesson 1: The students are given a graph of two functions (linear and linear; linear and exponential; or exponential and exponential) and are asked to describe:

1. the intervals on which one funciton is increasing faster than the other function.
2. any points where the functions are equal to each other.
3. end behavior.
4. explicit equations that represent the graphs.

Lesson 2: Students are given a linear or exponential explicit equation and are asked to:

1. identify it as linear or exponential.
2. identify it as increasing or decreasing.
3. identify it as growth or decay
4. identify the rate of change as +/-, x/divide
5. complete a table of values that is provided with input values or output values.

Lesson 3: Students are given a linear or exponential recursive function and initial value and are asked to:

1. identify it as linear or exponential.
2. identify it as increasing or decreasing.
3. identify it as growth or decay
4. identify the rate of change as +/-, x/divide
5. graph the function.

Lesson 4: Students are given a linear or exponential graph, explicit equation, or function (with initial value) and are asked to describe:

1. intervals of increasing and decreasing.
2. extrema: maximum and minimum.
3. domain and range.
4. identify the given information as linear or exponential.

Lesson 5: Students are given a story problem and a graph and are asked to describe what happens at different points in the race.

Students are given 5 table of values and a graph and asked to match the table of values with the graph.

Students are asked to match the rate of change with the tables of values.

Lesson 6: Interpreting Linear Context.

Students are given 3 story problems and are asked to:

1. Draw a graphical representation of the story problem.
2. Answer some questions about the context of the story and what is happening mathematically.

A 6 question "Quick Assessment" is included in this bundle.

Answer Keys Included for each lesson.
Total Pages
30+
Included
Teaching Duration
2 Weeks
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