Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...

Minimize the time it takes to create a fish dish. Scholars use their knowledge of time to devise an order that accounts for different constraints. Considering jobs that can be done in parallel is essential to solving the problem.

Display data over a larger interval. The fourth segment in a 22-part unit introduces histograms and plotting data within intervals to the class. Pupils create frequency tables with predefined intervals to build histograms. They describe...

Young travelers plan a trip to Hilbre Island based on constraints on tides and time. They use a timeline to help determine the optimal day/time to make the trip.

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

Determine just how far to run before dinner. The short assessment asks pupils to determine the distance a person can jog in the time left before dinner. To answer the question, scholars determine the distance if the person jogs one...

Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...

So many things change as time goes by. Here, scholars create graphs based on this premise. Each problem asks pupils to sketch a graph that describes a given situation. Their graphs represent various characteristics such as height,...

Drive home math concepts with an engaging task. Learners follow a verbal description to fill in a table and create a distance-time graph representing a car journey. They then answer questions by interpreting the graph.

Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...

Frequency polygons are a different way to represent frequencies over intervals. Pupils take frequencies for intervals of data from a frequency table and plot them as a frequency polygon. Budding mathematicians find information about the...

Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...

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...

Real-life mathematics is not as simple as repeating a set of steps; pupils must mentally go through a process to come to their conclusions. Teach learners to read, analyze, and create a plan for solving a problem situation. The...

There's no better way to prepare your class for the AP® test format than previous exams. Instructors and scholars use the 2012 AP® Statistics free-response questions to familiarize themselves with the test. Topics covered in the exam...

It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...

The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...

Your algebra learners make predictions using the concepts of a linear model from real-life data given in table form. Learners analyze and discuss solutions without having to write a linear equation.

Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.

Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...

Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...

At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...

Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...