This task provides a context where it is appropriate for students to subtract fractions with a common denominator; it could be used for either assessment or instructional purposes.

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

This word problem requires students to use addition and subtraction and think about money.

Students investigate the property dependence between liquid and solid interfaces and determine observable differences in how liquids react to different solid surfaces. They compare copper pennies and plastic "coins" as the two test surfaces. Using an eye dropper to deliver various fluids onto the surfaces, students determine the volume and mass of a liquid that can sit on the surface. They use rulers, scales, equations of volume and area, and other methods of approximation and observation, to make their own graphical interpretations of trends. They apply what they learned to design two super-surfaces (from provided surface treatment materials) that arecapable of holding the most liquid by volume and by mass. Cost of materials is a parameter in their design decisions.

Students explore the concepts of center of mass and static equilibrium by seeing how non-symmetrical objects balance. Using a paper cut-out shape of a parrot sitting on a wire coat hanger, they learn that their parrot exists in stable equilibrium — it returns to its balancing point after being disturbed. The weight of its tail makes the parrot balance upright. Give the parrot a push, and she knocks off balance, but swings back and forth until coming to rest in balance again.

Students explore their peripheral vision by reading large letters on index cards. Then they repeat the experiment while looking through camera lenses, first a lens with a smaller focal length and then a lens with a larger focal length. Then they complete a worksheet and explain how the experiment helps them solve the challenge question introduced in lesson 1 of this unit.

Students investigate how different riparian ground covers, such as grass or pavement, affect river flooding. They learn about permeable and impermeable materials through the measurement how much water is absorbed by several different household materials in a model river. Students use what they learn to make recommendations for engineers developing permeable pavement. Also, they consider several different limitations for design in the context of a small community.

Los estudiantes construyen una báscula de resorte y aprenden sobre el concepto de peso.

This interactive Flash animation allows students to explore size estimation in one, two and three dimensions. Multiple levels of difficulty allow for progressive skill improvement. In the simplest level, users estimate the number of small line segments that can fit into a larger line segment. Intermediate and advanced levels offer feature games that explore area of rectangles and circles, and volume of spheres and cubes. Related lesson plans and student guides are available for middle school and high school classroom instruction. Editor's Note: When the linear dimensions of an object change by some factor, its area and volume change disproportionately: area in proportion to the square of the factor and volume in proportion to its cube. This concept is the subject of entrenched misconception among many adults. This game-like simulation allows kids to use spatial reasoning, rather than formulas, to construct geometric sense of area and volume. This is part of a larger collection developed by the Physics Education Technology project (PhET).

This workbook is designed to give students in communication sciences and disorders foundational knowledge in Phonetics. Students will learn to listen and transcribe the speech of typically developing speakers of Standard American English in the International Phonetic Alphabet (IPA). Students will also learn how to listen and transcribe the speech of individuals with common speech sound disorders (i.e., residual articulation disorders and phonological disorders). Students will also be introduced to the fundamentals of speech science and spectrograms as they pertain to speech sound production. Written by April M. Yorke, PhD, CCC-SLP with her students Alyssa Mahler, Carley Shermak, and Emily Sternad.

This lesson covers the process of photosynthesis and the related plant cell functions of transpiration and cellular respiration. Students will learn how engineers can use the natural process of photosynthesis as an exemplary model of a complex yet efficient process for converting solar energy to chemical energy or distributing water throughout a system.

Students download the software needed to create Arduino programs and make sure their Arduino microcontrollers work correctly. Then, they connect an LED to the Arduino and type up and upload programs to the Arduino board to 1) make the LED blink on and off and 2) make the LED fade (brighten and then dim). Throughout, students reflect on what they've accomplished by answering questions and modifying the original programs and circuits in order to achieve new outcomes. A design challenge gives students a chance to demonstrate their understanding of actuators and Arduinos; they design a functioning system using an Arduino, at least three actuators and either a buzzer or toy motor. For their designs, students sketch, create and turn in a user's manual for the system (text description, commented program, detailed hardware diagram). Numerous worksheets and handouts are provided.

This is a lab activity involving transformations between the gravitational potential energy, elastic potential energy, and kinetic energy of a system. An air track with a glider and a photo gate timer are needed to perform the lab. The lab is divided into three separate but related parts. The first part involves using a spring to launch the glider horizontally, measuring the velocity of the glider, and then relating elastic potential energy to kinetic energy. The second activity involves adjusting the air track so that when the glider is launched, it goes up an incline. This set up allows students to relate elastic potential energy to gravitational potential energy. The third and final activity ties elastic potential, gravitational, and kinetic energy together. Using the knowledge they acquired from the first two activities, the students need to use Conservation of Energy to predict the velocity of the glider as it is launched up the incline and then compare their prediction to the experimental value.

This task requires students to answer questions about the structure of an expression.

In this activity, students will learn about Newton's 2nd Law of Motion. They will learn that the force required to move a book is proportional to the weight of the book. Engineers use this relationship to determine how much force they need to move an airplane.

Students explore the physics utilized by engineers in designing today's roller coasters, including potential and kinetic energy, friction, and gravity. First, students learn that all true roller coasters are completely driven by the force of gravity and that the conversion between potential and kinetic energy is essential to all roller coasters. Second, they also consider the role of friction in slowing down cars in roller coasters. Finally, they examine the acceleration of roller coaster cars as they travel around the track. During the associated activity, the students design, build, and analyze a roller coaster for marbles out of foam tubing.

The purpose of this task is for students to select 2 numbers from a set of 3 that sum to 9. The task can be completed for sums equaling any number. Teachers may choose to ask students to write the simple equations they select.