Curated OER
Functions
In this Algebra I/Algebra II worksheet, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the end-behavior...
Curated OER
Exploring Real Numbers
For this algebra worksheet, 11th graders classify numbers as rational, irrational, integral and whole. They solve the equations and graph i ton a number line. There are 26 questions with an answer key.
Curated OER
Logarithmic Functions
In this logarithms functions worksheet, students learn about logarithms and answer 13 questions pertaining to logarithms. This worksheet contains the link to a website with additional information.
NASA
Space Shuttle Ascent: Altitude vs. Time
How long did it take to get to that altitude? Using a Google Earth file, groups explore a space shuttle launch. Using a calculator, groups determine the function that models the altitude/time data from an actual launch. With the model in...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
Inside Mathematics
Party
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
Concord Consortium
Betweenness V
Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.
Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Concord Consortium
Here Comes the Sun
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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...
Curated OER
Function Investigation
In this functions worksheet, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph will look...
Curated OER
Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
Curated OER
Some Explorations With Even And Odd Functions
In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
Curated OER
Linear Functions, Restricted Domains, Infinite Geometric Series, Interconnections
In this math worksheet, young scholars graph the linear functions in comparison to the inequalities. Then they compare the line segments on the coordinate plane.
Curated OER
Combinations and Functions
In this combinations worksheet, students determine the number of combinations in a given situation. They explore sets and determine if the relation is reflexive, symmetric or transitive. This one-page worksheet contains seven problems.
Curated OER
Exploring Exponential Models
Explore the difference between exponential growth and decay with this activity. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
Concord Consortium
Graphical Depictions
Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of...
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
Curated OER
Integrated Algebra: State Exam
In this integrated algebra worksheet, students solve problems related to topics covered in algebra for the entire year. Topics include, but are not limited to, inequalities, probability, functions, interval notation, exploring graphs,...
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
Curated OER
Get a Half Life!: Student Worksheet
Upper elementary or middle schoolers will explore non-linear functions, graphing, and the curve of best fit through real-life data collection and trial analysis. They explore the concept of half-life and radioactive decay using M&Ms,...