Like all of the Problem Solving units, this one aims to introduce students to the underlying ideas of mathematics through a problem. The problem here requires a knowledge of arithmetic and the use of some algebra. In this unit we see how...

Young scholars discuss probability and how it is a part of their daily lives. They work with a partner and perform various probability experiments and complete a project in which they discover different properties of probability.

Pupils produce an equation from a graph, based on an engineering-context story provided. In this production of equations lesson, students write an equation given the graph and description. Pupils also describe what the y-intercept and...

Put time into context by relating it to familiar meal times. Scholars examine two analog clocks and one digital clock to determine the times displayed. Each is labeled with a meal time for the hypothetical "Robert." They use their...

Even or odd? Here are some basic number attribute questions focused on this concept. Learners label numbers as even or odd in three different contexts. There are seven numbers total, both single and double-digit. Challenge scholars to...

Algebra learners are to make sense of two different-sized sand trucks and the number of trips each truck makes. The resource lists four different expressions based on the size of each truck and the number of deliveries the trucks make....

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.

Cheaper cell phone bills? Learners compare two different cell phone plans for a specified number of minutes of phone usage each day. They also determine the conditions for which one plan is cheaper than the other.

Show your classes how different means can represent the same data. Individuals collect household size data and calculate the mean. Pupils learn how handling of the data influences the value of the mean. 

Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...

Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...

Let's partition rectangles into equal parts. Assess learners on their ability to divide shapes into equal parts, and their ability to explain their thinking.

A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...

How much gas does it take to drive around town? The class uses a variety of mathematical procedures to take a look at the use of gas for transportation. Class members use a different unit to determine the cost of driving a car as opposed...

Seeing is believing. Given several bivariate data sets, learners make scatter plots using the online SeeIt program to visualize the correlation. To get a more complete picture of the topic, they research their own data set and perform an...

One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...

Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...

How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...

All data is not created equal. Scholars examine the different types of studies and learn about the importance of randomization. They explore the meaning of causation and when it can be applied to data. 

What do you get when you cross piecewise functions with transformations?  An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...

Use mathematics to help plan a field trip. Scholars use the results of a survey to determine where a class should go on a field trip. They use provided data about entrance fees and mileage to calculate the cost per person of such a...

"Statistics are no substitute for judgment" - Henry Clay. Young mathematicians use provided statistics from a soda taste test to explain why conclusions are faulty. They devise a new test that would be more appropriate than the one given.

Show your future bakers how to choose the right baking pan by calculating the volume of a pan. The resource compares two pans, one with decimal edge lengths and is too small for the recipe and one that may work. Your number crunchers are...