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- HSA-SSE.B.3Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.*
- HSA-SSE.B.4Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.â

- HSA-SSE.B.3aFactor a quadratic expression to reveal the zeros of the function it defines.
- HSA-SSE.B.3bComplete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
- HSA-SSE.B.3cUse the properties of exponents to transform expressions for exponential functions. For example the expression 1.15<sup>t</sup> can be rewritten as (1.15<sup>1/12</sup>)<sup>12t</sup> â 1.012<sup>12t</sup> to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

The Product Rule and the Power of Product Rule of Exponents

Algebra I

Â» Unit:

Exponential Functions

Big Idea:To Expand! or Take the Shortcut! for an equivalent answer.

Stretching Exponential Functions (and your mind)

12th Grade Math

Â» Unit:

Exponential Functions and Equations

Big Idea:Studentsâ algebraic skills are reinforced as they discover that some different transformations are actually equivalent.

Laws of Exponents

Algebra II

Â» Unit:

Polynomials

Big Idea:Error analysis helps students reinforce their understanding of the laws of exponents.

Exponential Functions Test Review

12th Grade Math

Â» Unit:

Exponential Functions and Equations

Big Idea:Students will work together and ask questions on their test review to prepare for tomorrow's unit test.

Exponentials Functions Unit Test

12th Grade Math

Â» Unit:

Exponential Functions and Equations

Big Idea:Students will demonstrate their learning of Exponential Functions in this formal assessment.

Credit Cards Investigation: How is interest really calculated? (Day 3 of 4)

12th Grade Math

Â» Unit:

Exponential Functions and Equations

Big Idea:My balance is what?!? Students develop the compound interest formula completely on their own before applying it to real world problems.

Credit Card Investigation: A Dastardly Scheme (Day 4 of 4)

12th Grade Math

Â» Unit:

Exponential Functions and Equations

Big Idea:Thereâs a new irrational number in town! Students explore the constant e in the context of continuously compounding interest.

The Power of the Power Rules in Exponential Expressions

Algebra I

Â» Unit:

Exponential Functions

Big Idea:Bringing it all together! Students make a decision on their plan to simplify, recognizing that the rules work if applied correctly, not necessarily in order.

Properties of Exponents

Algebra II

Â» Unit:

Polynomials and Problem Solving

Big Idea:Identify and target your students' prior knowledge gaps in this introductory lesson.

HSA-SSE.B.3a

Factor a quadratic expression to reveal the zeros of the function it defines.

HSA-SSE.B.3b

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

HSA-SSE.B.3c

Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^{t} can be rewritten as (1.15^{1/12})^{12t} â 1.012^{12t} to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.