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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...
Lesson Plan
Virginia Department of Education

Give or Take a Few

For Teachers 6th Standards
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
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
Curated OER

Compound Inequalities and Graphing

For Teachers 10th - 11th
Put geometry skills to the test! Learners solve compound inequalities and then graph the inequalities on a coordinate plane using their geometric skills. They identify the slope and y-intercept in order to graph correctly. I like this...
Lesson Plan
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EngageNY

Using the Quadratic Formula

For Students 9th - 10th Standards
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...
Lesson Plan
Curated OER

Two Points Determine an Exponential Function II

For Teachers 9th - 12th Standards
Your algebra learners will build an exponential equation given a graph with two specific points labeled. 
Lesson Plan
Curated OER

Worksheet 1: Algebra and Inequalities

For Teachers 12th - Higher Ed
Challenge your students' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require...
Lesson Plan
Curated OER

Algebra 1: Slope as Rate

For Teachers 7th - 9th
Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change.  They graph their lines on the TI and observe changes in the lines.
Lesson Plan
Curated OER

Play It

For Teachers 6th - 9th
There are a number of activities here that look at representing data in different ways. One activity, has young data analysts conduct a class survey regarding a new radio station, summarize a data set, and use central tendencies to...
Lesson Plan
Curated OER

Off to College

For Teachers 9th - 11th
High schoolers investigate linear, quadratic and exponential equations using the TI calculator. They identify relation and functions using ordered pairs, graph the data, analyze the data, and relate it to real-world situations.
Lesson Plan
Curated OER

Explore Graphs and Factors

For Teachers 8th - 11th Standards
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Young scholars explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Young scholars examine how coefficients in various parts of each parent...
Worksheet
Curated OER

Graphing Logarithms

For Students 9th - 11th
In this logarithms worksheet, students identify the domain and range of given logarithms. They sketch the graph on a coordinate plane. This four-page worksheet contains 12 multi-step problems. Answers are provided on the last two pages.
Lesson Plan
Curated OER

Lesson Plan 1: Up, Down, Right, Left - Function Families

For Teachers 8th - 10th
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
Lesson Plan
Curated OER

Linear Functions-Learn Your Lines

For Teachers 8th - 10th
Students solve and graph linear equations. In this algebra lesson, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
Lesson Plan
Curated OER

Algebra 2 - Linear Programming

For Teachers 10th - 11th
Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...
Lesson Plan
Curated OER

Applications Of Rational Functions

For Teachers 9th - 12th
Students engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction. Students can...
Lesson Plan
Curated OER

Algebra I - Test

For Teachers 7th - 8th
Students participate in a lesson that reviews the concept of linear functions in connection with preparation for an exam. The teacher reviews problems with the students for scaffolding. Students practice graphing linear functions.
Lesson Plan
Curated OER

Iterating Linear Functions

For Teachers 7th - 9th
Students use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
Worksheet
Curated OER

Graphing Polynomial Functions

For Students 9th
In this polynomial functions worksheet, 9th graders solve and complete 22 various types of problems. First, they describe the end behavior of each function. Then, students state the maximum number of turns the graph of each function...
Lesson Plan
Curated OER

Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Young scholars identify the end behavior of polynomial graphs. In this algebra instructional activity, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of...
Lesson Plan
Curated OER

An Introduction to Functions

For Teachers 9th - 11th
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.
Lesson Plan
Curated OER

Algebra—Quadratic Equations and Functions

For Teachers 8th - 12th
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
Lesson Plan
Curated OER

Linear Functions

For Teachers 8th - 10th
Students solve and graph linear equations. In this algebra lesson, students collect data and plot it to create a linear function. They identify the domain and range of each line.

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