This short video and interactive assessment activity is designed to teach fourth graders about listing common multiples.

This is a challenging fraction comparison problem. The fractions for this task have been carefully chosen to encourage and reward different methods of comparison.

The stories in Living Proof are intended to provide support and inspiration for mathematics students experiencing struggle and despair. If students keep working, if they keep seeking, they’ll be rewarded by serendipity, which is really just, as these stories remind us, the habit of mind to be engaged and to notice when something good has happened.

A patient discusses diabetes and how he manages his carbohydrate intake in this video segment from TV 411.

In this number line task students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s).

This task can be implemented in a variety of ways. For a class with previous exposure to the incenter or angle bisectors, part (a) could be a quick exercise in geometric constructions,. Alternatively, this could be part of a full introduction to angle bisectors, culminating in a full proof that the three angle bisectors are concurrent, an essentially complete proof of which is found in the solution below.

In this interactive activity adapted from Annenberg Learner’s Teaching Math Grades 6–8, students interpret two line graphs to identify possible locations where the data might have been gathered.

In this Cyberchase video segment, Matt and Jackie must figure out which combination of knob and key will get them one step closer to retrieving the Black Crystal.

In this instructional task students are given two inequalities, one as a formula and one in words, and a set of possible solutions. They have to decide which of the given numbers actually solve the inequalities.

Logarithms are very handy when dealing with numbers at different scales but they are also useful helping us average measurements of physical phenomena that have nonlinear behavior. In this example, students learn about cloud albedo and calculating cloud optical depth. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

In this lesson, students are asked to provide a written description of both an exponential function and its inverse. They are then introduced to the logarithmic function and will practice writing exponential functions as logarithms and logarithms as exponential functions. Students will evaluate logarithmic expressions and will solve logarithmic equations. This lesson results from the ALEX Gap Resource Project.

The goal of this task is to have students appreciate how the different constants (P0, K, and r) influence the shape of the graph.

This problem introduces a logistic growth model in the concrete setting of estimating the population of the U.S. The model gives a surprisingly accurate estimate and this should be contrasted with linear and exponential models, studied in ``U.S. Population 1790-1860.'' This task requires students to interpret data presented.

This short video and interactive assessment activity is designed to teach fifth graders about multiple rounds of division - long division word problems.

This short video and interactive assessment activity is designed to teach fifth graders about dividing 3 and 4 digit numbers by 2 digit numbers.

This short video and interactive assessment activity is designed to teach fourth graders about dividing 3 and 4 digit numbers by 2 digit numbers.

In this activity students compare objects to see which is longer and heavier than the other.

In this task students figure out how to draw the longest line on a map of the United States without hitting a border. They use color and line plots to keep track of their results.

This task builds on studentsŐ prior knowledge and understanding of conditional probability, and introduces the concept of independence of events.