HSA-SSE.B.3
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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.★
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HSA-SSE.B.3b
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- 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^{t} can be rewritten as (1.15^{1/12})^{12t} ≈ 1.012^{12t} to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
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HSA-SSE.B.3b
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
23 Lesson(s)
Review Workshop: Polynomial Functions and Expressions
Algebra II »
Unit: Polynomial Functions and Expressions
Algebra II »
Unit: Polynomial Functions and Expressions
Big Idea:
Tomorrow is the unit test on polynomial functions and expressions. In this lesson, we do more practice with word problems, solving equations, graphing parabolas, and rewriting quadratic functions.
Standards:
Favorites
(6)
Resources
(13)
Reflections
(1)
Big Idea:
After learning to write the equation of an ellipse, students design an elliptical pool table that would guarantee that even the worst player can always make a shot.
Standards:
Favorites
(5)
Resources
(19)
Moving Toward Mastery: Completing the Square (Day 1)
Algebra I »
Unit: Quadratic Functions
Algebra I »
Unit: Quadratic Functions
Big Idea:
There are uses for completing the square: first, as it relates to vertex form and graphing parabolas, and second as it relates to solving quadratic equations. Today, we'll get at both.
Standards:
Favorites
(3)
Resources
(28)
Reflections
(1)
Moving Toward Mastery: Completing the Square (Day 2)
Algebra I »
Unit: Quadratic Functions
Algebra I »
Unit: Quadratic Functions
Big Idea:
Students will continue to see that graphing quadratic equations and solving them work in tandem: the better we understand one, the more sense the other will make!
Standards:
Favorites
(1)
Resources
(15)
Reflections
(1)
Quadratic Functions in Three Forms
Algebra I »
Unit: Quadratic Functions
Algebra I »
Unit: Quadratic Functions
Big Idea:
An brief adventure in number theory provides some background knowledge for completing the square, then students get to practice manipulating quadratic expressions in different forms.
Standards:
Favorites
(8)
Resources
(24)
Reflections
(3)
Building Quadratic Functions: f(x), kf(x) and f(kx)
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
Students use technology to construct their own understanding of different operations on the graph of quadratic functions!
Standards:
Favorites
(1)
Resources
(19)
Reflections
(1)
Performance Task: Pulling It Together with Quadratics
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
Students integrate concepts learned about quadratic equations and functions to analyze models and make recommendations for maximizing profit on the sale of smart phones.
Standards:
Favorites
(13)
Resources
(10)
Unit Assessment: Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
Students complete a unit assessment aligned to unit standards - provides excellent data source for teacher's to adjust and refine their curriculum and instruction!
Standards:
Favorites
(23)
Resources
(6)
Factoring and Completing the Square to Find Zeros
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
Quadratic expressions are reformatted by integrating background knowledge in factoring polynomials and graphing functions!
Standards:
Favorites
(3)
Resources
(19)
Reflections
(1)
Forming Quadratics: Math Assessment Project Classroom Challenge
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
Students complete engaging activities to assess their ability and level of understanding surrounding comparing and forming quadratic fucntions.
Standards:
Favorites
(3)
Resources
(15)
Reflections
(1)
The Three Musketeers: Simplifying the Quadratic Formula
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
Just like the Three Musketeers, the three pieces of the quadratic formula stick together, and work together to find solutions!
Standards:
Favorites
(8)
Resources
(17)
Reflections
(1)
Quadratic Quandaries: Modeling with Quadratic Functions
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
Students complete a number of application problems related to quadratic functions and create their own Quadratic Quandary!
Standards:
Favorites
(5)
Resources
(26)
Reflections
(3)
Quadratic Functions: Vertex Form
Algebra II »
Unit: Polynomial Functions and Expressions
Algebra II »
Unit: Polynomial Functions and Expressions
Big Idea:
Quadratic functions are graphed as parabolas; how we go about creating the graph depends on which form the function is written in.
Standards:
Favorites
(4)
Resources
(22)
Reflections
(1)
Unit Assessment: Polynomial Functions and Expressions
Algebra II »
Unit: Polynomial Functions and Expressions
Algebra II »
Unit: Polynomial Functions and Expressions
Big Idea:
Show that you are able to rewrite and classify polynomial expressions, use quadratic equations to solve problems, and express quadratic functions in various forms.
Standards:
Favorites
(3)
Resources
(6)
Reflections
(1)
Rearranging and Graphing Quadratics
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Algebra I »
Unit: Interpret and Build Quadratic Functions and Equations
Big Idea:
This jigsaw lessons lets students dive deep into one connection between quadratic equations and graphs, and then learn from each other in mixed groups!
Standards:
Favorites
(1)
Resources
(21)
Reflections
(2)
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