Students explore parabolas.  In this algebra and technology lesson, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas.  Students create a podcast...

Money, money, money. A complete lesson that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and...

For this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, students must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...

Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...

Groups use a marble to determine the viscosity of household fluids. The procedure calls for pupils to measure the amount of time it takes a marble to fall a specified distance in the fluids. Using unit conversions and algebra, the teams...

In this interactive Internet  assignment, physical science investigators answer 11 questions about the atom, the subatomic particles, and atomic structure. They can click on "Reveal Answer" to discover if they are correct. They also...

The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas...

What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson...

Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.

Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...

I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...

How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...

Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...

Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.

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...

student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...

Students review the standards for Algebra I. Using the text, they discover two problems that match each standard and solve them showing all steps on paper. They create a PowerPoint slide for each problem and go through the correct...

Students translate functional relationships into equations to answer questions. Students answer questions using different representations of the relationships: function rules, graphs of the function, tables of values, and equations and...

Students analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.

Learners explore proportional reasoning.  In this middle school mathematics instructional activity students investigate scale drawings as they create a proportional representation for the carvings on Mt. Rushmore.