A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...

Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...

Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...

The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...

Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...

Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...

Ready to study inequalities with your class? Use this activity to solve multi-step inequalities and graph the solutions. The document would be great to use as a study guide as you present the material, or could easily be modified and...

Whiskers are not just for cats! Pupils create box-and-whisker plots from given data sets. They analyze the data using the graphs as their guide.

In this aircraft avionics worksheet, science fans read about the first unmanned air vehicle that collects data about the Earth and is subject to damage by cosmic ray showers. Pupils analyze two graphs of data showing the neutron flux vs....

It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...

In this real-world problem about the rapid growth of rabbit populations, students must analyze two different scenarios and create mathematical models to represent them. They use their exponential models to answer questions about the...

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...

We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...

Conduct an experiment to determine the accuracy of pedometers versus pedometer apps. Class members collect data from each device, analyze the data using a hypothesis test, and determine if there is a significant difference...

Future statisticians and potential psychics first conduct an experiment to collect data on whether a person can tell if someone is staring at them. Statistical methods, such as hypothesis testing, chi-square tests, binomial tests, and...

The more you text, the less you study. Have classes test this hypothesis or another question related to text messages. Using real data, learners use technology to create a scatter plot and calculate a regression line. They create a dot...

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...

Do you need to create custom line plot worksheets for your math learners? Use this template to create the line plot. Include up to five questions below the plot. 

Out of the swimming pool and into the math classroom! Young mathematicians analyze two linear functions representing the number of liters of water in a pool as it drains over time. They must evaluate functions, interpret function...

Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...

In this integral worksheet, students analyze equations using the gamma function. They sketch graphs of functions, and find the are between the graph and the x-axis. This two-page worksheet contains five multi-step equations.

For this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the...

In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.