(U2) Lesson 6 - Getting down to business

Last updated about 3 years ago

8 Nsɛmmisa

Today's Learning Goal:

Model both linear and exponential functions with tables, graphs and equations.
Compare the end behavior of linear and exponential functions and make arguments about why exponential functions eventually exceed linear functions.
Make modeling decisions about whether a discrete or continuous model is more appropriate.
Interpret the point of intersection of two functions as the value that occurs when f(x) = g(x).

Reminders:

Discrete functions have distinct and separate values and are used for things that can be counted. (countable)

Continuous functions can have any value within a specific interval and values are connected. (measureable)

Domain of a function: The numbers that can be used as possible inputs

Today's Materials:

Laptop
Pencil
Binder

Please complete the Jump Start (activator). This is independent it should be silent.

QUICK QUIZ 2 - 15 Minutes

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(U2) Lesson 6 - Getting down to business

Last updated about 3 years ago

8 Nsɛmmisa

Today's Learning Goal:

Model both linear and exponential functions with tables, graphs and equations.
Compare the end behavior of linear and exponential functions and make arguments about why exponential functions eventually exceed linear functions.
Make modeling decisions about whether a discrete or continuous model is more appropriate.
Interpret the point of intersection of two functions as the value that occurs when f(x) = g(x).

Reminders:

Discrete functions have distinct and separate values and are used for things that can be counted. (countable)

Continuous functions can have any value within a specific interval and values are connected. (measureable)

Domain of a function: The numbers that can be used as possible inputs

Today's Materials:

Laptop
Pencil
Binder

Please complete the Jump Start (activator). This is independent it should be silent.

QUICK QUIZ 2 - 15 Minutes

null

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(U2) Lesson 6 - Getting down to business

(U2) Lesson 6 - Getting down to business

Practice

Click the parts of the text that are most important mathematically.

Create standard mathematical models (table, graph, and equations) for the projected net income over time for both companies.

Compare the two companies:
Categorize the facts about each company based on the representations.

Calcu-rama

Computafest

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

Which company would make most money after 8 years?

When would your projections suggest that the two companies have the same net income? How did you find this? Will they ever have the same net income again?

Which company would make most money after 14 years?

Why did we model as discrete or continuous? Explain.

Practice

Click the parts of the text that are most important mathematically.

Create standard mathematical models (table, graph, and equations) for the projected net income over time for both companies.

Compare the two companies:
Categorize the facts about each company based on the representations.

Calcu-rama

Computafest

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

Which company would make most money after 8 years?

When would your projections suggest that the two companies have the same net income? How did you find this? Will they ever have the same net income again?

Which company would make most money after 14 years?

Why did we model as discrete or continuous? Explain.

(U2) Lesson 6 - Getting down to business

(U2) Lesson 6 - Getting down to business

Practice

Click the parts of the text that are most important mathematically.

Create standard mathematical models (table, graph, and equations) for the projected net income over time for both companies.

Compare the two companies:Categorize the facts about each company based on the representations.

Calcu-rama

Computafest

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

Which company would make most money after 8 years?

When would your projections suggest that the two companies have the same net income? How did you find this? Will they ever have the same net income again?

Which company would make most money after 14 years?

Why did we model as discrete or continuous? Explain.

Practice

Click the parts of the text that are most important mathematically.

Create standard mathematical models (table, graph, and equations) for the projected net income over time for both companies.

Compare the two companies:Categorize the facts about each company based on the representations.

Calcu-rama

Computafest

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

Which company would make most money after 8 years?

When would your projections suggest that the two companies have the same net income? How did you find this? Will they ever have the same net income again?

Which company would make most money after 14 years?

Why did we model as discrete or continuous? Explain.

Compare the two companies:
Categorize the facts about each company based on the representations.

Compare the two companies:
Categorize the facts about each company based on the representations.