Curated OER
Introduction To Functions
Students define a functions and solve problems using functions. For this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
Curated OER
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Curated OER
Function-al Machines and Spaghetti Graphs
Sixth graders identify the relationship between patterns and functions. In this algebra instructional activity, 6th graders use a "Functional Machine" to identify the rule. Students use a function table to plot the points using play...
Curated OER
Slope of a Function
Seventh graders explore the concept of the slope of a line. They see how to determine the direction of the line. Also students are introduced to the slope intercept algebraic expression in conjunction with the rise/run.
Curated OER
Functions As Equations
In this algebra worksheet, students use the given values for the functions to create a pattern of solving an equation that is extended into a word problem.
Curated OER
Linear Functions
Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.
Curated OER
Number Crunchers
In this math operations worksheet, learners input a number in the "Number Cruncher", which is a series of mathematical operations, and write down the output in the "Out" box. There are 4 different operations on this worksheet and each...
Curated OER
How are we Related?
Students differentiate functions based on their domain and range. In this algebra lesson, students define function, domain, range and relation. They analyze graphs and coordinate pairs for input and output values making up a function.
Curated OER
Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
Curated OER
Compound Functions
In this compound functions worksheet, 9th graders solve 12 different problems that include determining the value of various functions. First, they take the y-value answers from one function and change it to the domain or x-values of the...
Curated OER
Composition of Functions
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
EngageNY
The Graph of a Function
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work to...
Curated OER
Function Tables
For this function tables worksheet, students analyze 6 different function tables to determine the rule that applies to each table. The data in the table involves 2 variables and the rule is either addition, subtraction, multiplication...
Curated OER
Function Tables
For this function tables practice worksheet, students use their problem solving skills to solve 12 problems that require them to determine the rule followed in each of the function tables.
Virginia Department of Education
Composition of Functions
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
Alabama Learning Exchange
Building Functions: Composition of Functions
Hammer away at building different types of functions. An engaging lesson builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from various...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Curated OER
I Have a Magic Pot
Pupils will explore numbers rules. They will create a picture of their rule and exchange their paper with a classmate. The classmate works to figure out the rule. They then share with each other how they found the rule. Questions are...
Virginia Department of Education
Growing Patterns and Sequences
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Curated OER
Why Would I Owe My Soul to the Company Store?
Sixth graders listen to "Sixteen Tons" by Tennessee Ernie Ford and discuss what it means to owe one's soul to a store. In this mathematics lesson, 6th graders determine what a miner's income was minus his expenses graphing findings in a...