Curated OER
Linear Functions: Slope, Graphs, and Models
This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...
West Contra Costa Unified School District
Shifting Linear Equations in Function Notation
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.
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
2D-Graphing Functions
Practice graphing basic equations. Algebra learners complete a table showing values of x and y. They graph the results on a coordinate grid. There are six problems: three equations are linear, and three are quadratic. The "show your...
Curated OER
Exponential Graph Functions
In this exponential functions learning exercise, students solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule for...
Education Development Center
Creating a Polynomial Function to Fit a Table
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...
Curated OER
Parent Functions Review Sheet
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
Curated OER
Linear Functions
In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover the...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and y-intercept...
EngageNY
Graphs of Piecewise Linear Functions
Everybody loves video day! Grab your class's attention with this well-designed and engaging resource about graphing. The video introduces a scenario that will be graphed with a piecewise function, then makes a connection to domain...
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Texas Instruments
Classifying Functions
Learners explore linear, quadratic, and exponential functions in this activity that makes use of TI Navigator and TI Plus calculators. Using the technology, learners compare and contrast the three types of functions given in the activity.
West Contra Costa Unified School District
Families of Functions Sort
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.
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
Del Mar College
All About Lines
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
Curated OER
Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Texas Instruments
Is It or Isn't It Proportional
How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...
West Contra Costa Unified School District
Comparing Linear and Quadratic Functions
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
Curated OER
Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
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