Interactive
CK-12 Foundation

Vertical Translations

For Students 10th - 12th Standards
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...
Activity
101 Questions

Deodorant

For Teachers 9th - 12th Standards
Smells like learning! Young scholars collect data on the length of time a stick of deodorant lasts. After modeling the data with a graph and function, they make predictions about deodorant use over time.
Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Assessment
Concord Consortium

The Line and the Ellipse

For Students 10th - 12th Standards
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Lesson Plan
Curated OER

Functions & Algebra

For Teachers 8th - 10th
Learners examine linear equations. For this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
Worksheet
Curated OER

Graphing Functions

For Students 9th - 11th
In this graphing functions worksheet, students solve and complete 13 different problems that include identifying and graphing various functions. First, they graph each of the functions shown on the graphs provided. Then, students solve...
Lesson Plan
Curated OER

Systems of Linear Equations

For Teachers 9th - 12th
Students use the calculator to represent a situation as a table, graph, and equation. They write systems of equations and find solutions to systems of equations. In addition, they explain and justify how they determined their solutions...
Worksheet
Curated OER

Graphing

For Students 9th
For this graphing worksheet, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each listed ordered...
Worksheet
Curated OER

Math Regents Exam Questions: Graphing Rational Functions

For Students 9th - 12th
In this graphing rational functions activity, students answer 18 multiple choice problems about rational functions.  Students determine values for a which a function is undefined given the equation of the function.
Lesson Plan
Curated OER

Graphing Linear Equations

For Teachers 7th - 8th
Students graph linear equations. In this algebra lesson, students solve linear equations and graph it on a coordinate plane. They evaluate integers using linear equations.
Lesson Plan
Curated OER

Race Car Activity

For Teachers 8th - 10th
Students investigate linear functions.  In this linear functions lesson, students are given a situation where two race cars start at the same point.  Students have four graphs that they match to the race car scenario. ...
Lesson Plan
Curated OER

Piecewise Modeling with Multiple Functions: Federal Debt

For Teachers 9th - 12th
Young scholars analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
Lesson Plan
Curated OER

Introducing y = mx + b

For Teachers 8th - 10th
Middle and high schoolers use the slope intercept form to graph a line. In this algebra lesson, pupils rewrite equations from standard form to y-intercept form. They use the slope and y-intercept to graph a line without making a table of...
Lesson Plan
Curated OER

Absolute Value of Linear Functions

For Teachers 9th - 12th
Students discover how abolute value affects linear functions. They complete a worksheet simulating a path for miniature golf hole in one for three figures. They construct a hole in one graph for each hole marking the X and Y coordinates.
Lesson Plan
Curated OER

How Long Can You Go?

For Teachers 8th
Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...
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...
Worksheet
Curated OER

Functions

For Students 11th
In this functions learning exercise, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a...
Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Lesson Plan
Curated OER

Cockroach Slope

For Teachers 10th - 11th
Students identify the slope of linear functions. For this slope lesson, students collect data and graph it. They write equations with no more than two variables and use technology to explain their data.
Worksheet
Curated OER

Evaluating Functions

For Students 11th
For this evaluating functions worksheet, 11th graders solve and complete 24 various types of problems. First, they evaluate the functions for the given values. Then, students graph each of piecewise functions. They also write an equation...
Lesson Plan
Curated OER

Systems of Equations

For Teachers 8th - 12th Standards
Texas Instruments and Glencoe/McGraw-Hill have put together a full lesson to help you instruct your math class. Using the textbook, a TI-83 calculator, and attached the PDF learners will solve systems of equations and state decimal...
Assessment
1
1
Balanced Assessment

Telephone Service

For Students 9th - 12th Standards
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
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...
Assessment
Concord Consortium

Look but Do Not Touch

For Students 9th - 12th Standards
We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.

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