Lesson Plan
Curated OER

Worksheet 7: Slope and Tangents

For Teachers 12th - Higher Ed
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
Lesson Plan
Institute of Electrical and Electronics Engineers

Coloring Discrete Structures

For Teachers 6th - 9th
What's the least number of colors needed to color a U.S. map? The lesson begins by having pupils view a video clip on continuous and discrete phenomenon, then launches into an activity reminiscent of Zeno's paradox. A separate video...
Lesson Plan
Illustrative Mathematics

US Garbage, Version 1

For Teachers 7th - 9th Standards
An interesting example of a discrete function and how it is applies to the real world. This could easily make a good collaborative lesson with an environmental science class. Practice reading a table and drawing a scatter plot make up...
Lesson Plan
EngageNY

Analyzing a Verbal Description

For Teachers 9th - 10th Standards
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
Lesson Plan
1
1
Natinal Math + Science Initative

Slope Investigation

For Students 6th - 9th Standards
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs...
Lesson Plan
EngageNY

Constant Rate

For Teachers 8th Standards
Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...
Interactive
Concord Consortium

Pendulum and Spring

For Students 9th - 12th
Up, down, back, and forth. When you make a pendulum out of a spring, there's a lot to observe. Aspiring masters of motion examine the combined kinetic energies of spring and pendulum motion using a detailed interactive. Learners observe...
Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
Lesson Plan
Curated OER

Graphs of the OTHER Trig Functions

For Teachers 10th - 11th
Students graph trigonometric functions. In this precalculus lesson, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.
Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Worksheet
Curated OER

Challenge: Graphing Functions

For Students 5th - 8th
Here is a functions worksheet in which learners solve functions containing variables, graph the coordinates, and answer two questions about it. They complete 14 functions.
Worksheet
Curated OER

Senior Analysis: Graphing Rational Functions

For Students 10th - 12th
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page activity contains 23 problems.
Lesson Plan
Curated OER

Piecewise-Defined Functions 2

For Teachers 10th
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
Worksheet
Curated OER

Solving Quadratic Equations by Graphing

For Students 9th - 11th
For this quadratic equation worksheet, students solve quadratic equations by graphing on a coordinate plane. Given the roots and maximum or minimum points, students graph a quadratic equation. This one-page worksheet contains five problems.
Lesson Plan
Curated OER

Fifty-Eight Inverse and On-To-One Questions

For Teachers 8th - 11th
In this inverse function worksheet, students sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.
Lesson Plan
Illustrative Mathematics

Bike Race

For Teachers 7th - 9th Standards
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Worksheet
Curated OER

Domain and Range

For Students 7th - 9th
In this domain and range activity, learners write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding inverse relations...
Lesson Plan
Curated OER

Worksheet 3 - Functions

For Teachers Higher Ed
In this function worksheet, students solve functions with a continuous derivative. This one-page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

Worksheet 28 - Functions

For Teachers Higher Ed
In this function worksheet, students identify functions which are their own derivative. They determine the vertical and horizontal asymptotes of functions. This one-page worksheet contains seven multi-step problems.
Worksheet
Curated OER

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Lesson Plan
Curated OER

Worksheet 27 - Functions

For Teachers Higher Ed
In this function worksheet, students sketch the graph of a nonzero function, estimate the value of an infinite sum, and determine the derivative and slope of functions. This one-page worksheet contains approximately 6 multi-step problems.
Lesson Plan
Curated OER

Interpreting and Displaying Sets of Data

For Teachers 7th - 9th
Students explore the concept of interpreting data. In this interpreting data lesson, students make a line plot of themselves according to the number of cubes they can hold in their hand. Students create their own data to graph and...
Lesson Plan
Curated OER

Slope, Intercepts, and Graphing a Line

For Teachers 8th - 11th
In this intercepts and slope worksheet, learners find the slope and/or the x and y-intercepts in fifty-three problems.  Students also graph lines using the x and y-intercepts.
Worksheet
Curated OER

Chapter 3: Practice Test - Functions

For Students 10th - 11th
In this function worksheet, students find the inverse of functions, determine the horizontal asymptote of functions and graph functions. This three-page worksheet contains 27 problems.