This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Materials A large set of dominoes to affix to a whiteboard or place in a pocket chart, or a regular set to use on a document projector. One set of domi...

This final lesson in the unit culminates with the Go Public phase of the legacy cycle. In the associated activities, students use linear models to depict Hooke's law as well as Ohm's law. To conclude the lesson, students apply they have learned throughout the unit to answer the grand challenge question in a writing assignment.

Exploring equality -- Mathematics Instructional Plans (MIPs) help teachers align instruction with the 2016 Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Students visualize and interact with concepts already learned, specifically algebraic equations and solving for unknown variables. They construct a balancing seesaw system (LEGO® Balance Scale) made from LEGO MINDSTORMS® parts and digital components to mimic a balancing scale. They are given example algebraic equation problems to analyze, configure onto the balance scale, and evaluate by manipulating LEGO pieces and gram masses that represent terms of an equation such as unknown variables, coefficients and integers. Digital light sensors, built into the LEGO Balance Scale, detect any balance or imbalances displayed on the balancing scale. The LEGO Balance Scale interactively issues a digital indication of balance or imbalance within the system. If unbalanced, students continue using the LEGO Balance Scale until they are confident in their understanding of solving algebraic equations. The goal is for students to become confident in solving algebraic equations by fundamentally understanding the basics of algebra and real-world algebraic applications.

Bernoulli's principle relates the pressure of a fluid to its elevation and its speed. Bernoulli's equation can be used to approximate these parameters in water, air or any fluid that has very low viscosity. Students learn about the relationships between the components of the Bernoulli equation through real-life engineering examples and practice problems.

This is a lesson that introduces kids to the concepts of slope and y-intercept as they relate to multiplicative and additive relationships.

Students compare slope as it relates to distance vs. time. Using a simulation on Desmos, students find that faster speeds create steeper slopes on a graph.

This video is part of the Learn and Grow with WHRO TV series. Watch Xenia Clare teach about strategies to determine equality in equations.

This is a digital sort of terms for equations and expressions.  Students are able to sort terms the teacher provides, the given equation, and create their own equation.  https://jamboard.google.com/d/1xT6VfZwn38OcLnmGz2OsX29ci6jbmN4iCrtqo7JgPT4/copy?usp=sharing 

This is a review of equation vocabulary.  Students drag and drop sticky notes to match vocab words and examples. 

Working individually or in groups, students explore the concept of stress (compression) through physical experience and math. They discover why it hurts more to poke themselves with mechanical pencil lead than with an eraser. Then they prove why this is so by using the basic equation for stress and applying the concepts to real engineering problems.

Students work as engineers and learn to conduct controlled experiments by changing one experimental variable at a time to study its effect on the experiment outcome. Specifically, they conduct experiments to determine the angular velocity for a gear train with varying gear ratios and lengths. Student groups assemble LEGO MINDSTORMS(TM) NXT robots with variously sized gears in a gear train and then design programs using the NXT software to cause the motor to rotate all the gears in the gear train. They use the LEGO data logging program and light sensors to set up experiments. They run the program with the motor and the light sensor at the same time and analyze the resulting plot in order to determine the angular velocity using the provided physics-based equations. Finally, students manipulate the gear train with different gears and different lengths in order to analyze all these factors and figure out which manipulation has a higher angular velocity. They use the equations for circumference of a circle and angular velocity; and convert units between radians and degrees.

In this lesson, students will investigate error. As shown in earlier activities from navigation lessons 1 through 3, without an understanding of how errors can affect your position, you cannot navigate well. Introducing accuracy and precision will develop these concepts further. Also, students will learn how computers can help in navigation. Often, the calculations needed to navigate accurately are time consuming and complex. By using the power of computers to do calculations and repetitive tasks, one can quickly see how changing parameters likes angles and distances and introducing errors will affect their overall result.

This task requires students to use the fact that on the graph of the linear function h(x)=ax+b, the y-coordinate increases by a when x increases by one. Specific values for a and b were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question. The Virginia Department of Education resource titled, "Graphing Linear Functions," which requires students to graph equations in y=mx + b form includes a template and lesson plan.

Students learn how to find the maximum power point (MPP) of a photovoltaic (PV) panel in order to optimize its efficiency at creating solar power. They also learn about real-world applications and technologies that use this technique, as well as Ohm's law and the power equation, which govern a PV panel's ability to produce power.

Learn about position, velocity, and acceleration graphs. Move the little man back and forth with the mouse and plot his motion. Set the position, velocity, or acceleration and let the simulation move the man for you.

Video Description:  Balancing Earth's incoming and outgoing energy is like balancing an equation. When both are equal, Earth's energy is in balance. Learn more about how changes in this balance may impact Earth.  Video Length:  2:56.NASA eClipsTM is a suite of online student-centered, standards-based resources that support instruction by increasing STEM literacy in formal and nonformal settings.  These free digital and downloadable resources inform and engage students through NASA-inspired, real-world connections.NASA eClips Real World segments (grades 6-8) connect classroom mathematics to 21st Century careers and innovations.  They are designed for students to develop an appreciation for mathematics through real-world problem solving.

Video Description:  Earth's energy balance is very delicate. Small changes may have a big impact. How might changes in Earth's land and atmosphere impact this delicate balance? How might this knowledge be used to help us take better care of Earth?  Video Length:  2:31.NASA eClipsTM is a suite of online student-centered, standards-based resources that support instruction by increasing STEM literacy in formal and nonformal settings.  These free digital and downloadable resources inform and engage students through NASA-inspired, real-world connections.NASA eClips Real World segments (grades 6-8) connect classroom mathematics to 21st Century careers and innovations.  They are designed for students to develop an appreciation for mathematics through real-world problem solving.

Video Description:  At NASA everything begins with an idea. Physical models help NASA engineers and technicians test those ideas before building full-scale versions. Learn more about the important role physical modeling, building prototypes and mathematics play in engineering solutions.  Video Length:  3:11.NASA eClipsTM is a suite of online student-centered, standards-based resources that support instruction by increasing STEM literacy in formal and nonformal settings.  These free digital and downloadable resources inform and engage students through NASA-inspired, real-world connections.NASA eClips Real World segments (grades 6-8) connect classroom mathematics to 21st Century careers and innovations.  They are designed for students to develop an appreciation for mathematics through real-world problem solving.

Students are introduced to the physics concepts of air resistance and launch angle as they apply to catapults. This includes the basic concepts of position, velocity and acceleration and their relationships to one another. They use algebra to solve for one variable given two variables.