Curated OER
Graphs of Functions
In this using function tables to problem solve worksheet, students interpret and complete function tables to solve problems. Students solve six word problems.
Curated OER
Functions and the Vertical Line Test
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
Curated OER
Introduction to Linear Functions
Students are introduced to the basic ideas needed for understanding linear functions.
Curated OER
More Complicated Functions: Introduction to Linear Functions
High schoolers explore the concept of linear functions. In this linear functions instructional activity, students translate linear functions from tables to graphs to equations. High schoolers use an applet to write a function rule for...
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...
Illustrative Mathematics
Invertible or Not?
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Illustrative Mathematics
Latitude
The greater the latitude, the less of the Earth is north. Scholars graph the relationship between the latitude and the percentage of the Earth that is north of the latitude. Using the graph and the table, class members interpret values...
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
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...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
National Council of Teachers of Mathematics
National Debt and Wars
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument...
Balanced Assessment
Vacation in Bramilia
This performance task gives the population model of different types of flies and asks scholars to analyze the two populations. After interpreting the functions individually, participants compare the two populations and find the time when...
Curated OER
An Introduction to Functions
Students investigate the growth and decay of an exponential function. In this algebra lesson, students apply properties of exponent solve problems. They identify any patterns they see in the graphs.
Curated OER
Inverse Functions
In this inverse function worksheet, students write inverse functions and interpret the results. This one-page worksheet contains 1 problem.
Curated OER
Startup 1: Functions & Interval Notation
In this function worksheet, students write an equation of a line. They solve inequalities and write functions with interval notation. This two-page worksheet contains approximately 20 problems.
Curated OER
Linear Functions
For this linear functions worksheet, students problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.
Curated OER
Linear Modeling: Functions
Learners analyze linear functions. In this algebra lesson, students create a linear model to relate coordinate pairs. They evaluate and solve equations.
Curated OER
Unit 4: Worksheet 4: Functions and Graphs
In this function and graph worksheet, students read and interpret maps and graphs. They write an equation, define variables and solve the equation. Students solve diamond problems and use the distributive property to solve equations. ...
Curated OER
Algebra 1
Students study the functional relationships of a variety of problems. In this functional relationship lesson, students determine the dependent and independent quantities of a given set of data. Students record the data and write it in...
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Curated OER
Grand Canyon Suite
Take a trip to the Grand Canyon! Lesson one explores how Ferde Grofe painted a musical landscape of America when he wrote the Grand Canyon Suite. Learners then examine art that shows the Grand Canyon in lesson two. Finally, lesson three...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...