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Exponential Models Day 1 of 2

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:Aarrghhh...Brains...Zombies...and Exponential Functions! Discover Exponential Functions in this Zombie themed Lesson.

Linear Functions

Algebra I

» Unit:

Linear Functions

Big Idea:Linear functions can be used to model how a changing quantity is represented in both the graph and equation of a function.

Writing the Equation for a Linear Function (Day 1 of 2)

Algebra I

» Unit:

Linear Functions

Big Idea:This lesson shows how to approach writing the equation of a line using multiple methods.

Arithmetic Sequences: Growing Dots

Algebra I

» Unit:

Linear Functions

Big Idea:Students will use formulas to represent growth rate in various sequences.

Geometric Sequences

Algebra I

» Unit:

Exponential Functions

Big Idea:If you folded a large piece of paper 50 times its thickness would be about 77 million miles...why?

Logs, Loans, and Life Lessons!

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This engaging lesson weaves together logarithms, loans, and life lessons!

Graphing and Writing Equations for Piecewise Functions

12th Grade Math

» Unit:

Piecewise Functions

Big Idea:Now that students have examined real-world examples, ask them to apply this knowledge to more abstract functions.

The Overtime Problem

12th Grade Math

» Unit:

Piecewise Functions

Big Idea:Get started thinking about inequalities by looking at real-world, every day examples. Represent these examples in as many different ways as possible.

Organizing a List and Guess & Check

Algebra I

» Unit:

Systems of Equations

Big Idea:In order for guessing and checking to be useful and efficient, it’s important to have an idea of how to organize a list of possibilities.

What's In an Intersection?

Algebra I

» Unit:

Systems of Equations

Big Idea:The "closeness" of one graph to another matches the accuracy of a guess and a check.

Write Absolute Value Functions as Piecewise Functions

12th Grade Math

» Unit:

Piecewise Functions

Big Idea:Use multiple representations to make connections between two different types of functions.

Quadratic Functions Review and Portfolio

12th Grade Math

» Unit:

More Abstract Work with Quadratic Functions

Big Idea:What are the key ideas and skills of this unit? What do you most need to review or understand better?

More Absolute Value Graphs

12th Grade Math

» Unit:

Piecewise Functions

Big Idea:Use graphing technology and open-ended problems to explore the graphs of absolute value functions.

The Lumber Model Problem

Algebra II

» Unit:

Cubic Functions

Big Idea:In many cases, polynomial functions are ideal mathematical models that support quantitative and abstract reasoning.

Make Piecewise Functions Continuous

12th Grade Math

» Unit:

Piecewise Functions

Big Idea:Bring in a lot of different skills and ideas (and preview a calculus concept!) while asking students to solve problems both graphically and algebraically.

HSF-BF.A.1a

Determine an explicit expression, a recursive process, or steps for calculation from a context.

HSF-BF.A.1b

Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

HSF-BF.A.1c

(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.