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Curated OER
Linear Relations
In this linear relations worksheet, students complete a table for given functions. They classify graphs as linear or non-linear. Students graph given equations. They compare and contrast graphs. This nine page worksheet contains five...
Curated OER
Sets, Relations, and Functions
Sets, relations, functions, and graphing linear equations are practiced in this challenging worksheet. The class determines if a relation is a function or not and find the functional value of a domain element. The one page worksheet...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Identifying Linear Functions from Graphs
Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
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...
Curated OER
Linear Inequalities
Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.
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...
Curated OER
Linear Inequalities in Two Variables
Graph and solve linear equations in two variables. The class relates the concepts of linear equations to the real world.
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...
Curated OER
Interactivate: Introduction to Functions
This interactive website provides a variety of lesson plans according to which standards you are applying and which textbook you use. Introduce functions to your class by having them construct single operation machines and create...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
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.
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
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
Algebra I: Linear Functions
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This instructional activity allows for the discussion of independent and dependent...
Curated OER
Linear Programming
In this linear programming worksheet, students solve and complete 6 different word problems related to programming. First, they define the variables in each problem and write a system of inequalities. Then, students graph the...
Curated OER
Graphing Lines by Graphing Two Points
Use a graphing lines worksheet to have your mathematicians graph the line of a given equation and plot specified points. The first 10 problems have a given equation, and two values. The next 10 problems have a given equation, but your...
Kenan Fellows
Applying Linear Regression to Marathon Data
It's not a sprint, it's a marathon! Statistic concepts take time to develop and understand. A guided activity provides an opportunity for individuals to practice their linear regression techniques in spreadsheet software. The activity...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
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.
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...