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Lesson Plan
West Contra Costa Unified School District

Graphing Piecewise Functions

For Teachers 8th - 10th Standards
Step up to learn about step functions. The lesson, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and ceiling functions.
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Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 9th - 12th Standards
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
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Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
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Lesson Plan
Alabama Learning Exchange

Building Functions: Inverse Functions from Tables and Graphs

For Students 9th - 12th Standards
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.
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Unit Plan
Mathematics Vision Project

Module 2: Linear and Exponential Functions

For Students 8th - 10th Standards
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
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Unit Plan
Mathematics Vision Project

Module 6: Quadratic Functions

For Students 8th - 10th Standards
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
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Lesson Plan
Illustrative Mathematics

Function Rules

For Teachers 7th - 9th Standards
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
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Lesson Plan
West Contra Costa Unified School District

Families of Functions Sort

For Teachers 8th - 10th
Have some fun with functions with a short activity that asks learners to first sort scatter plot in terms of their correlation. They then sort graphs of different types of functions in terms of key features, such as slope.
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Lesson Plan
West Contra Costa Unified School District

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
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Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
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Lesson Plan
Alabama Learning Exchange

Building Functions: Reverse to Inverse

For Teachers 10th - 12th Standards
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
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Assessment
Concord Consortium

Function Project

For Students 8th - 10th Standards
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
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Assessment
Illustrative Mathematics

Graphs of Power Functions

For Students 9th - 12th Standards
There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of intersection....
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Assessment
Illustrative Mathematics

Building a Quadratic Function Form

For Students 9th - 12th Standards
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
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Assessment
Mathematics Assessment Project

Functions

For Students 9th - 11th Standards
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.
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Assessment
Mathematics Assessment Project

Sorting Functions

For Students 9th - 11th Standards
There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.
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Lesson Plan
West Contra Costa Unified School District

Graphing Exponential Functions

For Teachers 8th - 10th Standards
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
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Lesson Plan
West Contra Costa Unified School District

Graphing Family of Functions

For Teachers 8th - 10th
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
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Assessment
Illustrative Mathematics

Identifying Even and Odd Functions

For Students 9th - 12th Standards
Is it even ... or odd? The task provides four functions to identify as being even, odd, or neither. Pupils use algebraic methods to make their decisions with select exponential, quadratic, and cubic functions.
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Interactive
Shodor Education Foundation

Multi-Function Data Flyer

For Students 8th - 12th Standards
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
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Assessment
Concord Consortium

Rational and Not So Rational Functions

For Students 11th - 12th Standards
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
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Assessment
1
1
Balanced Assessment

Function or Not?

For Students 9th - 12th Standards
Is it possible for an equation to be a function and not a function at the same time? By completing a short assessment, young mathematicians answer this question. Class members provide an explanation on how an equation represents a...
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Assessment
CPALMS

Writing an Exponential Function from its Graph

For Students 9th - 12th Standards
Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.
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Interactive
Shodor Education Foundation

Linear Function Machine

For Students 6th - 10th Standards
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.

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