The purpose of the task is for students to solve a multi-step multiplication problem in a context that involves area. In addition, the numbers were chosen to determine if students have a common misconception related to multiplication.
In this task, students can see that if the price level increases and peopleŐs incomes do not increase, they arenŐt able to purchase as many goods and services; in other words, their purchasing power decreases.
A+ Click is an interactive collection of more than 3700 math problems and answers for K-1 K-12 school program. It defines the personal level of math knowledge. You move up into the next level if you give 5 correct answers in a row. Practice makes perfect.
The purpose of this task is to foster a classroom discussion that will highlight the difference between multiplicative and additive reasoning.
The purpose of this task is to assess studentsŐ understanding of multiplicative and additive reasoning.
This resource houses links to a variety of sample math tasks aligned to the Common Core standard. Sources may include but are not limited to: Illustrative Mathematics, PARCC, Khan Academy, and the Illinois State Board of Education.
Students are asked to design methods to filter water using ordinary materials, while also considering their designs' material and cost efficiencies. They learn about the importance of water and its role in our everyday lives. They come to understand what must occur each day so that they can have clean water.
Students explore the outermost planets of our solar system: Saturn, Uranus and Neptune. They also learn about characteristics of Pluto and its interactions with Neptune. Students learn a little about the history of space travel as well as the different technologies that engineers develop to make space travel and scientific discovery possible.
This resource requires students to present the solution to a multi-step problem in the form of valid chains of reasoning, using symbols appropriately. Students must use the four operations with whole numbers to solve problems.
The difference between an architect and an engineer is sometimes confusing because their roles in building design can be similar. Students experience a bit of both professions by following a set of requirements and meeting given constraints as they create a model parking garage. They experience the engineering design process first-hand as they design, build and test their models. They draw a blueprint for their design, select the construction materials and budget their expenditures. They also test their structures for strength and find their maximum loads.
In this activity, students investigate the effect that weight has on rocket flight. Students construct a variety of their own straw-launched rockets, or "strawkets," that have different weights. Specifically, they observe what happens when the weight of a strawket is altered by reducing its physical size and using different construction materials. Finally, the importance of weight distribution in a rocket is determined.
In this activity, students filter different substances through a plastic window screen, different sized hardware cloth and poultry netting. Their model shows how the thickness of a filter in the kidney is imperative in deciding what will be filtered out and what will stay within the blood stream.
Students learn how engineers transform wind energy into electrical energy by building their own miniature wind turbines and measuring the electrical current it produces. They explore how design and position affect the electrical energy production.
In this open-ended design activity, students use everyday materials milk cartons, water bottles, pencils, straws, candy to build small-scale transportation devices. They incorporate the use two simple machines a wheel and axle, and a lever into their designs. Student pairs choose their materials and engineer solutions suitable to convey pyramid-building materials (small blocks of clay). They race their carts/trucks, measuring distance, time and weight; and then calculate speed.
This resource provides students with the opportunity to solve a multi-step contextual word problem with a degree of difficulty appropriate to Grade 4, requiring application of knowledge and skills.
Students begin by reading Dr. Seuss' "The Lorax" as an example of how overdevelopment can cause long-lasting environmental destruction. Students discuss how to balance the needs of the environment with the needs of human industry. Student teams are asked to serve as natural resource engineers, city planning engineers and civil engineers with the task to replant the nearly destroyed forest and develop a sustainable community design that can co-exist with the re-established natural area.
Students learn how and why engineers design satellites to benefit life on Earth, as well as explore motion, rockets and rocket motion. Through six lessons and 10 associated hands-on activities, students discover that the motion of all objects everything from the flight of a rocket to the movement of a canoe is governed by Newton's three laws of motion. This unit introduces students to the challenges of getting into space for the purpose of exploration. The ideas of thrust, weight and control are explored, helping students to fully understand what goes into the design of rockets and the value of understanding these scientific concepts. After learning how and why the experts make specific engineering choices, students also learn about the iterative engineering design process as they design and construct their own model rockets. Then students explore triangulation, a concept that is fundamental to the navigation of satellites and global positioning systems designed by engineers; by investigating these technologies, they learn how people can determine their positions and the locations of others.
Students collect, categorize, weigh and analyze classroom solid waste. The class collects waste for a week and then student groups spend a day sorting and analyzing the garbage with respect to recyclable and non-recyclable items. They discuss ways that engineers have helped to reduce the accumulation of solid waste.
Students explore materials engineering by modifying the material properties of water. Specifically, they use salt to lower the freezing point of water and test it by making ice cream. Using either a simple thermometer or a mechatronic temperature sensor, students learn about the lower temperature limit at which liquid water can exist such that even if placed in contact with a material much colder than 0 degrees Celsius, liquid water does not get colder than 0 °C. This provides students with an example of how materials can be modified (engineered) to change their equilibrium properties. They observe that when mixed with salt, liquid water's lower temperature limit can be dropped. Using salt-ice mixtures to cool the ice cream mixes to temperatures lower than 0 °C works better than ice alone.