EngageNY
Representing, Naming, and Evaluating Functions (Part 1)
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range.
EngageNY
Exponential Growth—U.S. Population and World Population
Show how exponential growth can look linear. Pupils come to understand the importance of looking at the entire picture as they compare the US population to the world population. Initially, the populations look linear with the same rate...
EngageNY
The Graph of the Equation y = f(x)
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
EngageNY
Exponential Decay
I just bought that car, how can its value decrease already? Individuals use the data of a depreciating car value to create an exponential decay model. They then compare exponential decay and growth equations.
EngageNY
Why Do Banks Pay YOU to Provide Their Services?
How does a bank make money? That is the question at the based of a lesson that explores the methods banks use to calculate interest. Groups compare the linear simple interest pattern with the exponential compound interest pattern.
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a instructional activity that uses what class members know about explicit formulas to develop an understanding of...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 3)
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
Curated OER
Using Function Notation II
Learners write an example to show a function statement true and another to show it false in this short task that addresses some common student misconceptions.
Curated OER
Yam in the Oven
Your vegetable eaters will practice function notation statement interpretation in this short task. These few exercises will bring out misconceptions high schoolers may have about function notation as well.
Curated OER
Cell Phones
Your texters will enjoy assessing their knowledge of function notation in this simple set of exercises. They will also interpret function notation in terms of the given context.
Curated OER
The Random Walk
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on their...
Curated OER
The Random Walk II
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on their...
Illustrative Mathematics
The High School Gym
Learners apply critical thinking skills as they analyze data about the temperature inside a gymnasium during a school assembly. The focus is on representing temperature as a function of time and interpreting input and output values...
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
Texas Instruments
Function Notation - Texas Instruments
Using a TI-Nspire calculator, learners will work to better understand function notation and input/output functions. They write equations with a function symbols, identify what makes an equation a function, and graph lines in order to...
Curated OER
Worksheet 3.1 Functions
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
Teach Engineering
Complex Networks and Graphs
Show your class how engineers use graphs to understand large and complex systems. The resource provides the beginnings of graph theory by introducing the class to set theory, graphs, and degree distributions of a graph.
Illustrative Mathematics
Interpreting the graph
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
Curated OER
Function Composition
Learners solve two functions at once. In this algebra instructional activity, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
Curated OER
Multiple Representations
Every topic or subject has its own special jargon. Learners work on their math vocabulary as it relates to basic algebra terms. They define and identify function, functional notation, ordered pairs, rate of change, slope,...