Creating a definition may be easier than it sounds! Give your classes experience creating their own definition. Scholars examine the meaning of the compact-ness of a scatter plot and create their own definitions based on measurements. 

Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.

Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...

Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...

Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...

Scholars learn to create scatter plots and investigate any relationships that exists between the variables with a lesson that also show them that statistical relationships do not necessarily indicate a cause-and-effect...

Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain. 

Start a trend by using blirts and gorks as your standard unit of measures. The activity asks learners to take a known measures of blirts and gorks and develop a conversion ratio. Individuals use both perimeter and area measures of...

Knowledge of statistics and probability can increase your advantage when playing games. The activity asks learners to analyze the game of MasterMind to determine the number of possible codes. They also examine different variations of the...

Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.

How many hot dogs does Fenway Park go through in a year? Learners estimate answers to this question and more as they work through the task. Problems require participants to make assumptions and use those assumptions to make estimations.

Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.

Apply the concept of similar triangles to design a space in a room. Scholars use similar triangles to determine how a spotlight reflects from a mirror. After drawing the path of the spotlight, individuals find the smallest possible width...

Develop a new measure of the properties of an object. Scholars develop a definition and formula to measure the bumpy-ness of an object. They utilize their formulas to find the property for several spherical objects.

Mathematics can model just about anything—so why not simulate the height of water in a toilet bowl? The lesson asks pupils to create a graphical model to describe the relationship of the height of the water as it empties and fills again....

Examine ratio and scale through coordinate geometry. Scholars use two diagrams of different scale to calculate perimeter and area. Then, individuals use the perimeters and areas to find ratios.

There is often more to data than meets the eye. Scholars learn that they need to analyze data before making conclusions as they look at data that describes the number of candy bars boys and girls eat. They disprove a given conclusion and...

Teams continue with the Asteroid Impact challenge and determine possible locations to construct their underground shelters. Participants cut scale area models of their shelters from paper and place them on the map to find locations...

Teams must determine the size of cavern needed to house the citizens of Alabraska to protect them from the asteroid impact. Using scaling properties, teams first determining the number of people that could sleep in a classroom and then...

Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...

Help your classes find the significance in this lesson! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence. 

It takes a lot of planning to achieve a random result! Learners compare results of random assignment, and conclude that random assignment allows results to be attributed to chance. They also realize the set of random means...

Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians! 

Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison.