HSF-IF.C.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*

 
74 Lesson(s)
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Writing Linear Equations (Day 1 of 2)

Algebra I » Unit: Linear & Absolute Value Functions
Algebra I » Unit: Linear & Absolute Value Functions
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will analyze the different components of slope intercept form, and the purpose of each component in the entire equation.

 
Favorites (25)
 
Resources (19)
 
Reflections (2)
linear function pic
   

Solving Systems by Graphing

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

As students gain confidence in graphing - and interpreting the intersection points on - systems of equations, we continue to see how this skill relates to guess and check.

 
Favorites (6)
 
Resources (21)
 
Reflections (1)
u5 l4 key elements of a graph
   

Graphing Parallel and Perpendicular Lines (Day 2 of 2)

Algebra I » Unit: Graphing Linear Functions
Algebra I » Unit: Graphing Linear Functions
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will connect the main ideas from the previous four lessons to write the equations of parallel and perpendicular lines using given information.

 
Favorites (31)
 
Resources (17)
 
Reflections (2)
makati intersection
   

Logs, Loans, and Life Lessons!

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

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

 
Favorites (4)
 
Resources (16)
logs loans and life lessons pic
   

What if We Start With the Axis of Symmetry?

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

An investigation of the relationship between the discriminant and the axis of symmetry lays foundations for students to understand the quadratic formula.

 
Favorites (1)
 
Resources (26)
 
Reflections (1)
u6 l13 five point graph example
   

Graphing Linear Functions Using Given Information

Algebra I » Unit: Graphing Linear Functions
Algebra I » Unit: Graphing Linear Functions
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students calculate slope and y-intercept before graphing a linear function on a coordinate plane.

 
Favorites (24)
 
Resources (17)
 
Reflections (2)
equation of a line
   

Using Points to Determine the Shape of a Graph

Algebra I » Unit: Linear and Exponential Functions
Algebra I » Unit: Linear and Exponential Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

In order to get a broad picture of functions and their graphs, we go a bit beyond just the linear and exponential functions that are the foci of this unit.

 
Resources (8)
u4 l9 opener notes
   

Further Exploration of Distance Functions

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Are there function rules to fit these relationships? Students apply prior knowledge to a new problem and find functions to fit their data. The optional use of technology allows them to check models on their own.

 
Resources (10)
 
Reflections (1)
screen shot 2013 09 05 at 4 40 36 pm
   

Graphing Linear Systems of Equations (Day 1 of 2)

Algebra I » Unit: Systems of Linear Equations
Algebra I » Unit: Systems of Linear Equations
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will discover that intersecting lines on a coordinate plane share a common solution, forming a system of equation.

 
Favorites (48)
 
Resources (25)
 
Reflections (1)
300px linear function graph svg
   

Function Zoo - Basic Function Families

12th Grade Math » Unit: Basic Functions and Equations
12th Grade Math » Unit: Basic Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students use their animal kingdom knowledge and organizational skills to make sense of the many types of functions we will see in this course.

 
Favorites (9)
 
Resources (27)
 
Reflections (2)
aninal kingdom functions
   
Algebra I » Unit: Everything is Relative: Linear Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students model the many adventures of hobbit Frodo Baggins while exploring the concept of domain AND learning how to graph piece-wise functions!

 
Favorites (3)
 
Resources (30)
 
Reflections (3)
map middle earth
   

Absolute Value Equations and Inequalities

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Put it all together -- students use a lot of strategies and make a lot of connections to hopefully demonstrate their mastery of the skills and ideas of this unit.

 
Favorites (1)
 
Resources (9)
 
Reflections (2)
abs value eqns inequalities
   

FInal Discussion - "Demystifying e" PLUS Skills Practice with Logarithms

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

This lesson builds on the “concept level” understanding that the students have obtained on “e” and extends that knowledge to skills practice and the natural logarithm function. It also focuses on mathematics specific readings strategies.

 
Resources (14)
 
Reflections (1)
e
   

Exploring Distance Functions

12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
12th Grade Math » Unit: Absolute Value Functions and More Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Instead of memorizing the definition of absolute value, students work with the concept of distance and the number line to develop transformed absolute value functions.

 
Resources (11)
 
Reflections (1)
student using number line distance function
   

Properties of Parabolas Day 2 of 2

Algebra I » Unit: Quadratics!
Algebra I » Unit: Quadratics!
Amanda Hathaway
Boston, MA
Environment: Urban
 
Big Idea:

Students get excited to explore how different families of quadratic equations change the shape and position of the resulting parabolas.

 
Favorites (3)
 
Resources (15)
 
Reflections (1)
properties parabolas2

Graph linear and quadratic functions and show intercepts, maxima, and minima.

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

Common Core Math
 
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