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: A company uses two different-sized trucks to deliver concrete blocks. The first truck can transport $x$ blocks per trip, and the second can transport $...

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: The profit, $P$ (in thousands of dollars), that a company makes selling an item is a quadratic function of the price, $x$ (in dollars), that they charg...

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: Given the height $h$ and volume $V$ of a certain cylinder, Jill uses the formula r=\sqrt{\frac{V}{\pi h}} to compute its radius to be 20 meters. If a s...

Students learn about the concepts of accuracy and approximation as they pertain to robotics, gain insight into experimental accuracy, and learn how and when to estimate values that they measure. Students also explore sources of error stemming from the robot setup and rounding numbers.

Climate Wisconsin is an educational multimedia collection featuring stories about the impact of climate change in Wisconsin.
LEARNING GOALS:
Expand understanding of how climate change impacts life in Wisconsin.
Connect personal observations to the study of climate and environmental science.
Identify actions that may impact changes to our climate.

At this point in the unit, students have learned about Pascal's law, Archimedes' principle, Bernoulli's principle, and why above-ground storage tanks are of major concern in the Houston Ship Channel and other coastal areas. In this culminating activity, student groups act as engineering design teams to derive equations to determine the stability of specific above-ground storage tank scenarios with given tank specifications and liquid contents. With their floatation analyses completed and the stability determined, students analyze the tank stability in specific storm conditions. Then, teams are challenged to come up with improved storage tank designs to make them less vulnerable to uplift, displacement and buckling in storm conditions. Teams present their analyses and design ideas in short class presentations.

The purpose of this task is to help students interpret signed numbers in a context as a magnitude and a direction and to make sense of the absolute value of a signed number as its magnitude.

In this lesson, students interrogate their own assumptions about Abraham Lincoln in order to arrive at a deeper understanding of who Lincoln was. They investigate primary source documents in order to analyze the elements of Lincoln's life that have become legend and those that have been forgotten by history.

In this 6-part activity, students learn about climate change during the Cenozoic and the abrupt changes at the Cretaceous/Paleogene boundary (65.5 million years ago), the Eocene/Oligocene boundary (33.9 million years ago), and the Paleocene/Eocene boundary (55.8 million years ago).

In this activity, students are split into groups to examine a specific band of the electromagnetic spectrum and the absorption spectra of seven atmospheric gases in that wavelength range. Using a jigsaw approach, the students regroup to have an expert on each band to examine the full spectrum, identify and rank greenhouse gases, and estimate Earth's temperature from satellite data.

1.) Theory Learning Goals:
a.) Understanding theoretical perspectives in academic administration, finance and management including the Microtechnique constructions TORI and noesis as well as some organizational principles from General System Theory Squared, GST2, (GST2 by Lindblom). The course is in exploration of complex systems thinking (Microtechnique) (in The Psychology of Administration and Management and includes elements from The Psychology of Consciousness for the purposes of hypothesis foundation and elements from General System Theory Squared (GST2) for method.
b.) Assessment and appraisal of Microtechnique scholarly research and writing in areas of psychology.

2.) Learning Goals:
a.) General application of psychological theory in Microtechnique management.
b.) Reflection on application of Microtechnique theory and design methodology in theoretical research and action research including practical investigation of ideas, norms, and change strategies in Management.

Using students' step length to understand the relationship between distance, speed and acceleration. Includes graphing of data and interpretation of graphs.

Students make a wheel and axle out of cardboard and a wooden dowel. It is rooled along a ramp made of parallel meter sticks, and the acceleration can be made small enough to make accurate measurements and calculations.

Students work as physicists to understand centripetal acceleration concepts. They also learn about a good robot design and the accelerometer sensor. They also learn about the relationship between centripetal acceleration and centripetal force governed by the radius between the motor and accelerometer and the amount of mass at the end of the robot's arm. Students graph and analyze data collected from an accelerometer, and learn to design robots with proper weight distribution across the robot for their robotic arms. Upon using a data logging program, they view their own data collected during the activity. By activity end , students understand how a change in radius or mass can affect the data obtained from the accelerometer through the plots generated from the data logging program. More specifically, students learn about the accuracy and precision of the accelerometer measurements from numerous trials.

An accident reconstructionist uses multiple variables to determine a vehicles speed at impact during an accident.  This activity investigates those variables and uses them to determine the speed of a vehcile during an accident.

Students form literature circles, read "Esperanza Rising" or "Becoming Naomi Leon" by Pam MuĐoz Ryan, use a Critical Thinking Map to discuss social issues, and use a class wiki.

In this lab exercise, students practice correctly using measurement tools, recording data, calculating density, using significant figures, and exploring the concepts of accuracy and precision.

This task examines, from a mathematical and statistical point of view, how scientists measure the age of organic materials by measuring the ratio of Carbon 14 to Carbon 12. The focus here is on the statistical nature of such dating. This task addresses a very important issue about precision in reporting and understanding statements in a realistic scientific context.

This task is a refinement of ``Carbon 14 dating'' which focuses on accuracy. Because radioactive decay is an atomic process modeled by the laws of quantum mechanics, it is not possible to know with certainty when half of a given quantity of Carbon 14 atoms will decay. This type of question is very important in science and it also provides an opportunity to study the very subtle question of how errors behave when applying a function: in some cases the errors can be magnified while in others they are lessened.

This problem involves solving a system of algebraic equations from a context: depending how the problem is interpreted, there may be one equation or two.