Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...

Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...

Which graph belongs to which summary statistics? Class members build upon their knowledge of data displays and numerical summaries to connect the two. Pupils make connections between different graphical displays of the same data in...

By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....

class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.

It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...

What is the typical length of a yellow perch? Pupils analyze a histogram of lengths for a sample of yellow perch from the Great Lakes. They determine which measures of center and variability are best to use based upon the shape of the...

Histograms are likely to give birth to a variety of conclusions. Given the likelihood a woman is to give birth after a certain number of weeks, pupils create a histogram. The scholars use the histogram to analyze the data and answer...

Ninth graders examine the application of statistical sampling, data collection, analysis, and representation that exists in schooling and teenage lifestyles in Japan and the United States.

What's in a name? Pupils create a data set from the number of letters in the names of classmates. Each group then takes the data and creates a visual representation, such as a histogram, circle graph, stem-and-leaf plot, etc.

In this machine representation of a number learning exercise, students explore definitions such as floating-point, round-off error, binary representation of a number, mantissa, and sign bit. They identify significant digits and...

In this algebraic representations worksheet, 7th graders solve 10 different problems that include various algebraic representations. First, they increase a number two and then eight times. Then, students determine twice a number...

In this graphical representation worksheet, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page worksheet contains five equations to solve.

How long do we have to wait? Given several days of times between eruptions of Old Faithful, learners create a graphical representation for two days. Groups combine their data to determine an appropriate wait time between eruptions.

In this graphical representation worksheet, students draw an Argand diagram depicting complex numbers. They draw in vectors that represent complex numbers. This three-page worksheet contains approximately ten problems.

There are many different ways to show a proof of the Pythagorean Theorem.  Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...

Geometry learners touch the surface of how a global positioning system works. The end goal is to find the intersections of three different spheres geometrically and algebraically given their algebraic representations.

Every topic or subject has its own special jargon. Learners work on their math vocabulary as it relates to basic algebra terms. They define and identify function, functional notation, ordered pairs, rate of change, slope,...

Motivation is key to learning. The author points out that it is important to engage intuition for aspects of statistics that pupils find counter-intuitive. Three strategies—using multiple representations, using intuitive analogies, and...

Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

What connection does the quadratic formula have with a quadratic equation? Using a matching activity, pupils construct the algebraic derivation of the quadratic formula in this Algebra II lesson task. The task provides two variations of...

Not all pie graphs are about pies. The class conducts a survey on favorite fast food categories in a instructional activity on data representation. Pupils use the results to create a circle graph.