HSF-IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

 
40 Lesson(s)
Scroll to child tags
   

Patio Problem: Sequences and Functions

Algebra I » Unit: Linear Functions
Algebra I » Unit: Linear Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

Arithmetic sequences can be modeled by linear functions that both have the same common difference.

 
Favorites (21)
 
Resources (9)
 
Reflections (1)
patio design image
   

Quadratic Functions: Standard and Intercept Forms

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Quadratic functions are graphed as parabolas; how we go about creating the graph depends on which form the function is written in.

 
Favorites (9)
 
Resources (21)
 
Reflections (1)
desmos standard
   

Operations with Polynomials Day 1 of 2

Algebra II » Unit: Polynomials
Algebra II » Unit: Polynomials
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Students get the opportunity to explore and make conclusions about operations with polynomials using graphing technology.

 
Favorites (6)
 
Resources (20)
 
Reflections (1)
image operations with polynomial functions
   

End of Unit Differentiated Problem Set

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson allows the students to apply their mathematical knowledge in a real context.

 
Favorites (1)
 
Resources (14)
richterscalepicture
   

Elephant Tracks!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson teaches the students to use the natural logarithm function to find the age of an elephant!

 
Favorites (1)
 
Resources (21)
 
Reflections (3)
getting started elephant tracks investigation
   

Writing in Math Classroom, Part 1: Functions and Linear Functions

Algebra I » Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable
Algebra I » Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students score sample MCAS open responses in groups as an entry point to understanding and reflecting on their own writing!

 
Favorites (1)
 
Resources (15)
pic writing math part 1
   

Quadratic Functions in Three Forms

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
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.

 
Favorites (6)
 
Resources (24)
 
Reflections (3)
u6 l6 sw extension with graphs l14 option p1
   

Functions Review Assignment

Algebra I » Unit: Functions
Algebra I » Unit: Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

This review assignment will wrap up the functions unit and help students understand what they need to continue to study.

 
Favorites (2)
 
Resources (8)
 
Reflections (1)
function review image
   

Comparing Investments

Algebra I » Unit: Exponential Functions
Algebra I » Unit: Exponential Functions
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

To guide students in practice to develop meaning for each variable in either formula in order to make correct substitutions and evaluations.

 
Favorites (5)
 
Resources (16)
 
Reflections (1)
comparing investments
   

Interpreting and Graphing Quadratic Functions

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students interpret key features of quadratics in real-life contexts to see the value of modeling and power of quadratics!

 
Favorites (10)
 
Resources (19)
 
Reflections (3)
gateway arch
   

Graphing Functions: Lines, Quadratics, Square and Cube Roots (and Absolute Values)

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students learn to graph different types of functions AND compare and contrast key features of families of functions!

 
Favorites (7)
 
Resources (16)
 
Reflections (1)
graphing functions resized
   

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
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students use technology to construct their own understanding of different operations on the graph of quadratic functions!

 
Favorites (1)
 
Resources (19)
 
Reflections (1)
exit ticket manipulating quadratics
   

Calculator Boot-Camp and Solving Exponential Equations

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson places a high emphasis on teaching the students how to properly use a calculator when solving exponential/logarithmic equations.

 
Resources (19)
 
Reflections (1)
calculator
   

Differentiated Problem Share Out - Unit Review

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson allows the students to apply their mathematical knowledge in a real context.

 
Resources (16)
crime scene
   

Linear and Nonlinear Function Review and Portfolio

12th Grade Math » Unit: Linear and Nonlinear Functions
12th Grade Math » Unit: Linear and Nonlinear Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Give students the chance to put all the pieces together. Give them the chance to make connections between the ideas and skills of the unit.

 
Favorites (1)
 
Resources (8)
linear non linear

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.

Common Core Math
 
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