This Cyberchase video segment features Bianca, who must figure out the fastest route to a movie premiere.

This unit contains two lessons which help students develop number sense through activities involving collection, representation, and analysis of data. Students also practice reading and writing large numbers and develop estimation skills. In Lesson 1, Every Breath You Take, students estimate the number of breaths taken during a specified time, experiment, and display real-life data. In Lesson 2, Making Your First Millions, students develop the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition. They analyze situations and identify patterns that will enable them to develop the concept of large numbers. Each lesson includes student activity sheets, an instructional plan, and extensions.

The CyberSquad tracks Digital position in time and then studies graphs to figure out what Hacker is scheming in this video from Cyberchase.

This Illuminations activity focuses on making predictions and the collection and analysis of data by having students take their pulse after different exercises. All individual data is collected in a classroom chart where the results are interpreted and conclusions drawn. The lesson includes a student worksheet and extension questions.

In this video segment from Cyberchase, Harry decides to train as a firefighter and uses line graphs to chart his physical fitness progress.

In this lesson designed to enhance literacy skills, students learn how to read and interpret a distance–time graph.

In this lesson, students find out how much money NFL cornerback Patrick Peterson lost by not cashing his signing bonus check of over $15 million. Students start by guessing how much money he could have earned in interest if he had cashed the check right away. Then students are asked what information they need to know in order to solve the problem. A news article is given with extra information, and the equation for compound interest is used. Extension ideas are given to determine what the amount of money made would be for different amounts of time as well as a Desmos graphing exploration where students can change the rate and explore the amount of money that could be earned at different rates.

This lesson focuses learners on the concept of 1,000,000. It allows learners to see firsthand the sheer size of 1 million, while at the same time providing learners with an introduction to sampling and its use in mathematics. Learners use grains of rice and a balance to figure out the approximate volume and weight of 1,000,000 grains of rice. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

In this math activity, learners prepare jumping jack data to send to officials on the planet Jumpalot. Learners record how many jumping jacks they can do in ten seconds and use their knowledge of time conversions to figure out how many jumping jacks they could complete in a minute all the way to a year. Learners then organize group data and explore mean, median, and mode and the effects extreme values have on these measures. Finally, learners brainstorm the advantages and disadvantages each measure offers. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

This lesson is part of a series of lessons that indigenize math education by including an art of the Native American tribes of Wisconsin-Menominee, Oneida, Ojibway, Ho Chunk and Stockbridge-Munsee. Beading has become ubiquitous in indigenous culture and is a modern art form. This context may be familiar to indigenous students as well as others. The unit starts with ratio identification and writing and moves to solving ratio reasoning problems, rate reasoning problems, and ends with graphing relationships. These are meant to supplement or replace current lessons.

This lesson is called Cedar's Pattern and provides a visual basis for understanding and using tape diagrams and tables to find ratio equivalencies.

This lesson is part of a series of lessons that indigenize math education by including an art of the Native American tribes of Wisconsin-Menominee, Oneida, Ojibway, Ho Chunk and Stockbridge-Munsee. Beading has become ubiquitous in indigenous culture and is a modern art form. This context may be familiar to indigenous students as well as others. The unit starts with ratio identification and writing and moves to solving ratio reasoning problems, rate reasoning problems, and ends with graphing relationships. These are meant to supplement or replace current lessons.

This lesson is called Cedar's Beading Supplies as a context for solving rate problems.

This lesson is part of a series of lessons that indigenize math education by including an art of the Native American tribes of Wisconsin-Menominee, Oneida, Ojibway, Ho Chunk and Stockbridge-Munsee. Beading has become ubiquitous in indigenous culture and is a modern art form. This context may be familiar to indigenous students as well as others. The unit starts with ratio identification and writing and moves to solving ratio reasoning problems, rate reasoning problems, and ends with graphing relationships. These are meant to supplement or replace current lessons.

This lesson is called Better Buy as a way to practice unit rates.

This lesson is part of a series of lessons that indigenize math education by including an art of the Native American tribes of Wisconsin-Menominee, Oneida, Ojibway, Ho Chunk and Stockbridge-Munsee. Beading has become ubiquitous in indigenous culture and is a modern art form. This context may be familiar to indigenous students as well as others. The unit starts with ratio identification and writing and moves to solving ratio reasoning problems, rate reasoning problems, and ends with graphing relationships. These are meant to supplement or replace current lessons.

This lesson is called Cedar's Sales and is an introductory lesson about
creating tables and graphs showing rate relationships.

In this unit of five lessons from Illuminations, learners begin with a number-line model and extend it to investigate linear relationships with the Distance, Speed, and Time Simulation from NCTM's E-Examples. Students then progress to plotting points and graphing linear functions while continually learning and reinforcing basic multiplication facts. Instructional plan, questions for the students, assessment options, extensions,and teacher reflections are given for each lesson as well as links to download all student resources.

In this 5-lesson multi-media unit, students will explore various real-world applications of different forms of measurement, including time and distance. They will make estimations and calculations. Throughout the unit, students will be using online resources to familiarize themselves with coral reefs, the nation of Belize, and to plan a pretend scuba diving trip. Activity sheets (pdf), links to online resources, assessment options and other commentary are provided.

In this video segment from Cyberchase, Hacker and the CyberSquad race to reach the Good Vibration on staircases that grow at different rates and have steps of varying sizes.

Information can be represented in many ways; this applet allows the user to represent data about the states using color. The state with the highest data value is darkest; other states are shaded proportionally. Several sets of data are already entered and available for examination: state population, land area, representatives in Congress, gasoline usage, and more. Users can eliminate the data from any state in order to note the consequences, or enter their own data. A box plot and table accompany each map representation, showing the data in different but corresponding formats.

Students experientially learn about the characteristics of a simple physics phenomenon the pendulum by riding on playground swings. They use pendulum terms and a timer to experiment with swing variables. They extend their knowledge by following the steps of the engineering design process to design timekeeping devices powered by human swinging.

Students are introduced to the health risks caused by cooking and heating with inefficient cook stoves inside homes, a common practice in rural developing communities. Students simulate the cook stove scenario and use the engineering design process, including iterative trials, to increase warmth inside a building while reducing air quality problems. Students then collect and graph data, and analyze their findings.

In this math meets life science lesson, learners measure the circumference of local trees in order to calculate diameters. Learners use this information and a growth rate table to estimate the age of the trees. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.