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Illustrative Mathematics

Identifying Graphs of Functions

For Teachers 8th - 12th Standards
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...
Lesson Plan
Curated OER

Algebra II: Exponential Functions

For Teachers 9th - 12th
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
Worksheet
Curated OER

Functions

For Students 9th
In this functions worksheet, 9th graders solve and complete 12 different multiple choice problems. First, they use the function machine shown to determine the value of a number. Then, students find the zero of various functions. They...
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.
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Assessment
Concord Consortium

In a Triangle

For Students 9th - 12th Standards
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Lesson Plan
Curated OER

Cell Phone Range

For Teachers 9th - 12th Standards
Here is a 15 minute activity that can be used as review, a warm, or as a quick example of how to relate functions to the real world. Learners complete an application activity and draw conclusion about functions then discuss open and...
Printables
Embedded Math

Trig Graph

For Teachers 10th - 12th Standards
You and your learners will enjoy having many copies of this trigonometric graph set on the Cartesian coordinate grid with a domain running from -360 degrees to 360 degrees and a range running from -2 to 2.
Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Lesson Plan
Curated OER

Away we Go

For Teachers 5th - 7th
Students work in groups to calculate the costs of a trip to Six Flags amusement park. For this domain and range lesson, students calculate the least and greatest amounts of money needed for tickets, food, souvenirs, and airplane tickets.
Worksheet
Curated OER

Algebra II Test Sections 2.4

For Students 9th - 12th
In this algebra worksheet, students identify the slope of a line, solve algebraic equations with absolute value, and identify the domain and range of given functions.  This three-page worksheet contains 21 problems.
Worksheet
Curated OER

Function as Average

For Students 9th - 12th
In this secondary mathematics instructional activity, learners determine the range of the average written as a function.  The one page instructional activity contains one problem with the solution.
PPT
University of North Texas

Reading Graphs

For Students 9th - 12th Standards
There is more to the eye than just a graph on paper. The presentation shows three different piecewise graphs and asks an assortment of questions. The resource includes topics such as domain and range, intervals of increasing 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
Math Guy

Algebra 2 Practice Final

For Students 9th - 12th Standards
Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
Unit Plan
Radford University

Sleep and Teen Obesity: Is there a Correlation?

For Students 10th - 12th Standards
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
Worksheet
Curated OER

PreCalculus Test 3: Angle Measurement

For Students 10th - 12th
In this angle measurement worksheet, students identify the domain and range of given problems.  They determine the amplitude, period and horizontal translation of given functions.  This two-page worksheet contains 16 problems.
Lesson Plan
Curated OER

Functions and Their Graphs.

For Teachers 9th - 10th
Students solve equations and label it as a function or not. In this algebra lesson, students make a table of values and graph their equation. They identify the domain and range of each graph.
Lesson Plan
Curated OER

Whose Line is it Anyway?

For Teachers 8th - 10th
Students solve systems of equations. In this algebra instructional activity, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
Lesson Plan
Curated OER

Graph Logarithms

For Teachers 9th - 12th Standards
Mathematicians graph logarithmic equations. Teach your students how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.
Lesson Plan
Curated OER

Relations and Functions

For Teachers 9th - 12th
Students differentiate between a relation and a function. In this algebra lesson plan, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.
Lesson Plan
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Curated OER

Graphing at all Levels: It's a Beautiful Thing!

For Teachers 8th - 12th Standards
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
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...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th - 12th
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.