This Java applet activity allows students to explore the various situations described in "The Chairs Around the Table" lesson (cataloged separately). The user can select Exploration mode, in which the number of chairs needed for a particular arrangement of tables is displayed; or Guess, in which the user is able to construct an arrangement and then predict the number of chairs. There are two types of tables to choose from and two different table arrangements. Instructions and exploration question are provide.

In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided.

This activity is an inquiry-based investigation where students discover the indicators of chemical reactions (endothermic and exothermic) by collecting data and using that data to develop a testable question for further experimentation.

An applet for students to use in exploring the area and circumference of a circle in relation to its radius and diameter. When the radius is changed, the other measures automatically change and are shown on a board. Most importantly, the ratio between any pair of these measures can be shown.

Do you want to think about ways to help solve New Orleans' problems? CityScope is a project-based introduction to the contemporary city. “Problem solving in complex (urban) environments” is different than “solving complex problems.” As a member of a team, you will learn to assess scenarios for the purpose of formulating social, economic and design strategies to provide humane and sustainable solutions. A visit to New Orleans is planned for spring break 2007.

Do you want to think about ways to help solve New Orleans‰ŰŞ problems? Cityscope is a project-based introduction to the contemporary city. "Problem solving in complex (urban) environments" is different than "solving complex problems." As a member of a team, you will learn to assess scenarios for the purpose of formulating social, economic and design strategies to provide humane and sustainable solutions. A visit to New Orleans is planned for spring break 2007.

An introduction to human information processing and learning; topics include the nature of mental representation and processing; the architecture of memory; pattern recognition; attention; imagery and mental codes; concepts and prototypes; reasoning and problem solving.

This 2-lesson unit focuses on combinations, a subject related to probability. Students develop strategies for discovering all the possible combinations in two given situations. They learn to collect and organize data and then use the results to generalize methods for determining possible combinations. They discuss how the number of possible outcomes is affected by decisions about the order of choices, or whether choices may be repeated. The unit includes student activity sheets, questions and extensions for students, and a link to an interactive applet.

In this 6-lesson unit, students explore 5 models of subtraction (counting, sets, number line, balanced equations, and inverse of addition) using connecting cubes. The lesson activities focus on the comparative mode of subtraction as children investigate the relationship between addition and subtraction, write story problems in which comparison is required, and practice the subtraction facts. The lessons include printable student activity sheets, a bibliography of children's counting books, questions for student discussion and teacher reflection, assessment options, extensions, and links to online applets (cataloged separately).

The lesson is designed for fourth grade students using scientific investigation to identify and compare the basic parts of a plant and animal cells. This activity consists of several steps over a period of several days. It includes student use of microscopes for observations and journals to collect data to identify and classify the basic parts of plant and animal cells. The assessment has an individual component and uses student work.

In this lesson, students will learn the steps involved in computational thinking.  Decomposition, pattern matching, abstraction, and algorithms are all steps that make up the computational thinking process. This process is used in many learning subjects and in real-life learning.  Learners discover how understanding each step can help them as a learner and also nurture a growth mindset.

This Google Slides GIF project includes link to instructional video on Youtube created by Sadie Lewis, and a rubric for GIF creation. 

This place value and problem solving lesson focuses on forming 3-digit address numbers to meet specific requirement. The lesson provides an opportunity for learners to use the problem-solving strategies of looking for patterns and establishing an organized list. Students also learn that careful reading of information and understanding of mathematical language are important to finding appropriate solutions.

This interactive applet helps students develop spatial visualization skills and geometric understanding in both two and three dimensions. From an array of possible nets, students try to select the ones that actually fold to a cube. The applet supports the lesson Building a Box (cataloged separately). An animation that shows one net being folded is included.

This math task involves concepts, procedure, and application of fraction division; devotes attention to a mathematically important case (dividend equal to 1); builds on fraction division work from fifth grade; and, engages students in constructing viable arguments and critiquing the arguments of others. Students use
visual models to support understanding, work individually and collaboratively, and share their developing thinking in order to determine how many servings of rice they consumed if they ate 1 full cup and there are 2/3 cup to a serving.

This project-based unit on statistics provides an opportunity for problem solving through real-world data collection and analysis. Students follow the seven- step "Elementary Mathematics Research Model" by identifying a research question, predicting the answer, and conducting research to test their hypothesis. Students use the mean, mode and median to analyze their data and use graphs to represent their findings so they can draw and justify conclusions. The lesson plan includes examples, questions for students, and possible assessment and extension ideas.

Okta challenges you to a duel! That crazy octopus wants to play you in a game where the first person to choose cards with a specified sum wins. You can choose how many cards, what types of numbers, and Okta's level of strategy.

This lesson plan introduces the game Deep Sea Duel, which develops students' operation skills and strategic thinking, and can be played online or with cards. After playing several variations of the game, students attempt to identify a winning strategy and compare the game to other familiar games. Variations include whole numbers, decimals, fractions, exponents, and words. The lesson includes printable cards and a student worksheet, questions for student discussion and teacher reflection, assessment options, and extensions. The online game and the cited article are cataloged separately.

This activity is a classroom experiment where students make observations, state hypothesis and carry out an investigation to draw conclusions.

Students are given a biomedical engineering challenge, which they solve while following the steps of the engineering design process. In a design lab environment, student groups design, create and test prototype devices that help people using crutches carry things, such as books and school supplies. The assistive devices must meet a list of constraints, including a device weight limit and minimum load capacity. Students use various hand and power tools to fabricate the devices. They test the practicality of their designs by loading them with objects and then using the modified crutches in the school hallways and classrooms.