Graphing Exponential Functions
Grab a warm-up from the wooden desk
Goals:
Warm-up #1
Write an expression to represent the length, s, of each square, given its area. Then approximate the value of s. Show your work.
Warm-up #2
Write an expression to represent the length, s, of each cube, given its volume. Then approximate the value of s. Show your work.
Let’s look at some equations in Desmos to make predictions about patterns.
Write down what you notice and wonder for each set.
Exponential Functions
Exponential Functions
X | Y = 2^x |
0 | |
1 | |
2 | |
3 | |
4 | |
X | Y = 3*2^x |
0 | |
1 | |
2 | |
3 | |
4 | |
Group Discussion: Predict what each function will look like
Geometric Sequence: Exponential Function:
Toss the Squish!
Today I learned... relating to exponential functions.
One question I still have is...
I know that I need to work more on...
Graphing Exponential Functions (Day 2)
Warm-up: Daily Ooodle!
Goals:
Warm-up #1
Warm-up #2
What does the a do?
What does the b do?
What does the h do?
What does the k do?
Big Ideas Math Assignment
Get logged on to BIM and work to complete the posted assignment. Good luck!
Independent Practice: Delta Math
A15: Exponential Functions | |
Skills | Youtube Links |
Exponential Rules (Level 1) | |
Negative Exponents Timed (Level 1) | |
Simplifying Radicals (Guided) | |
Simplifying Radicals | |
Basic Radical Operations | |
Multiply/Divide Radical Expressions | |
Adding/Subtracting Radical Expressions | |
Exponential and Radical Form | |
Exponential Functions - Basic | |
Nth Term of a Geometric Sequence | |
Table to Exponential Function | |
Exponential from Two Points (Level 1) | |
Resources
Mod 6 Standards
�A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.�C. Use the properties of exponents to transform expressions for exponential functions. For example 8^t can be written as 2^3t.
A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations and inequalities arising from linear, quadratic, simple rational, and exponential functions.�a. Focus on applying linear and simple exponential expressions.
A.CED.2 Create equations in two or more variables to represent relationships between quantities graph equations on coordinate axes with labels and scales.�a. Focus on applying linear and simple exponential expressions.
F.LE.1 Distinguish between situations that can be modeled with linear functions and with exponential functions.�c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
F.LE.5 Interpret the parameters in a linear or exponential function in terms of a context.
F.BF.1 Write a function the describes a relationship between two quantities. a. Determine an explicit expression, a recursive process, or steps for calculation from context. i. Focus on linear and exponential functions.
F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.�b. Focus on linear, quadratic, and exponential functions.