Lesson Plan
Curated OER

Strike a Pose: Modeling in the Real World (There's Nothing to It!)

For Teachers 8th - 12th Standards
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
Activity
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Illustrative Mathematics

Transforming the graph of a function

For Teachers 8th - 12th Standards
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...
Worksheet
Curated OER

Worksheet 30 Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners examine the functions for their properties to determine if they are real or not. They also graph them according to their domain and range.
Worksheet
Curated OER

Worksheet 11

For Students 6th - 8th
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
Worksheet
Curated OER

Lesson 2: Introduction to Equations & Why We Can Solve Equations

For Students 7th - 9th
For this equations worksheet, learners explore mathematical expressions.  They solve algebraic equations with one variable and identify the domain and range.  This five-page worksheet contains detailed notes, examples, and 4...
Activity
Illustrative Mathematics

Exponentials and Logarithms II

For Teachers 8th - 12th Standards
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Lesson Plan
EngageNY

What Is a Trigonometric Identity?

For Students 10th - 12th Standards
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
Unit Plan
Intel

Choreographing Math

For Students 8th - 12th Standards
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
Lesson Plan
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...
Worksheet
Curated OER

Variables, Formulas, Functions, Graphs and Linear Approximations

For Students Higher Ed
In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
Lesson Plan
Curated OER

The Princess And The Painter

For Teachers 9th - 12th
Students discover Baroque art techniques through the research of Diego Velasquez' work "Las Meninas" and other Baroque art. This leads to an exciting creative art project of "everyday life" by each student.
Lesson Plan
Curated OER

Dynagraphs

For Teachers 10th - 11th
Students collect and graph their data. For this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.
Worksheet
Curated OER

Algebra II Review: Exponential Functions and Logarithms

For Students 9th - 11th
For this Algebra II review:  exponential functions and logarithms worksheet, students solve 19 problems, including making graphs, simplifying and evaluating.
Worksheet
Curated OER

Worksheet 2.4/2.5: MT-A141 PreCalculus

For Students 11th - 12th
In this precalculus worksheet, students use their graphing calculator to graph the domain and range of given terms. They write parametric equations and identify the coordinates of the points on the relation given certain terms.
Lesson Plan
Curated OER

Ordered Pairs on a Coordinate Plane

For Teachers 7th
Seventh graders identify the quadrants and axis of a coordinate plane. In this algebra activity, 7th graders discover the correct way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and...
Lesson Plan
Curated OER

Introduction To Functions

For Teachers 8th - 10th
Pupils define a functions and solve problems using functions. In this algebra instructional activity, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
Worksheet
Curated OER

Functions

For Students 8th - 12th
In this functions worksheet, students distinguish 9 relations as being a function. Students also complete 6 function problems by substituting given information.
Worksheet
Curated OER

Reviewing Functions

For Students Higher Ed
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
Lesson Plan
Curated OER

Function and Graphs

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students determine if a given relation is a function, graph functions and observe their behavior, and determine if a function is even, odd, both, or neither.  The four page...
Worksheet
Curated OER

Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this complex variable activity, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page activity contains fourteen problems.
Lesson Plan
Curated OER

Relations, Functions and Equations Worksheet with a Computer Component

For Teachers 8th - 10th
In this relations worksheet students solve eighteen problems related to relations, functions, and equations.  The first part of this worksheet is designer to be completed with a computer program.
Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
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...
Lesson Plan
EngageNY

Discrete Random Variables

For Teachers 11th - 12th Standards
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...