This task asks students to use inverse operations to solve the equations for the unknown variable, or for the designated variable if there is more than one. Two of the equations are of physical significance and are examples of Ohm's Law and Newton's Law of Universal Gravitation.

This task requires students to use the fact that on the graph of the linear equation y=ax+c, the y-coordinate increases by a when x increases by one. Specific values for c and d 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.

In this problem students must transform expressions using the distributive, commutative and associative properties to decide which expressions are equivalent.

This is a standard problem phrased in a non-standard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure. The problem aligns with A-SSE.2 because it requires students to see the factored form as a product of sums, to which the distributive law can be applied.

The purpose of this task is to directly address a common misconception held by many students who are learning to solve equations. Because a frequent strategy for solving an equation with fractions is to multiply both sides by a common denominator (so all the coefficients are integers), students often forget why this is an "allowable" move in an equation and try to apply the same strategy when they see an expression.

The purpose of the task is to get students to reflect on the definition of decimals as fractions (or sums of fractions), at a time when they are seeing them primarily as an extension of the base-ten number system and may have lost contact with the basic fraction meaning. Students also have their understanding of equivalent fractions and factors reinforced.

The accuracy and simplicity of this experiment are amazing. A wonderful project for students, which would necessarily involve team work with a different school and most likely a school in a different state or region of the country, would be to try to repeat Eratosthenes' experiment.

Students learn about water erosion through an experimental process in which small-scale buildings are placed along a simulated riverbank to experience a range of flooding conditions. They learn how soil conditions are important to the stability or failure of civil engineering projects and how a river's turns and bends (curvature, sinuosity) make a difference in the likelihood of erosion. They make model buildings either with a 3D printer or with LEGO® pieces and then see how their designs and riverbank placements are impacted by slow (laminar) and fast (turbulent) water flow over the soil. Students make predictions, observations and conclusions about the stability of their model houses, and develop ideas for how to mitigate damage in civil engineering projects.

The task is designed to show that random samples produce distributions of sample means that center at the population mean, and that the variation in the sample means will decrease noticeably as the sample size increases. Random sampling (like mixing names in a hat and drawing out a sample) is not a new idea to most students, although the terminology is likely to be new.

Students estimate the storage capacity of CDs and DVDs by assessing diffraction patterns of green and red laser beams.

Students explore material properties in hands-on and visually evident ways via the Archimedes' principle. First, they design and conduct an experiment to calculate densities of various materials and present their findings to the class. Using this information, they identify an unknown material based on its density. Then, groups explore buoyant forces. They measure displacement needed for various materials to float on water and construct the equation for buoyancy. Using this equation, they calculate the numerical solution for a boat hull using given design parameters.

In this lesson, the students will summarize their experiences in the Amazon rainforest by developing and presenting a briefing for a T.V. evening news program.

Nursery (or Kindergarten or Preschool) students enjoy seeing the evening sky with the teacher from the playground or through a big window (indoor). This is especially relevant for students who stay for extra-hour care. During late evening hours, some students feel a little lonely waiting for their parents, but they have a wonderful natural treasure: the evening sky. By observing the evening sky with the naked eye, they will notice many colours, changing colours, the first star, the subtle colours of stars, twinkling stars, and the movement of stars. Nursery teachers who think they are not science-oriented will also gain guidance skills of introducing science to students. This activity is also useful for primary school students, especially younger-grade students.

This short activity helps students compare two drafts of the Preamble to the United States Constitution. It contains scaffolds for low-level readers.

Ontwerpen is een combinatie van logisch redeneren en het creatief combineren van bestaande technieken om tot nieuwe, innovatieve ideeen te komen. Een goede werktuigkundig ontwerper put zijn creativiteit uit kennis van een groot aantal bestaande werktuigbouwkundige systemen. Hoe groter die kennis, hoe groter de kans dat nieuwe, innovatieve ontwerpconcepten ontstaan. Vooral kennis over niet-conventionele techniek bevordert dit creatieve ontwerpproces.

Het doel van het vak Evolving Design is om studenten de onderhavige werkprincipes te tonen van een grote hoeveelheid niet-conventionele werktuigbouwkundige systemen. Er wordt hierbij zowel gekeken naar bijzondere ontdekkingen uit het verleden als uit het heden, met een blik op de toekomst. De ontwerpprincipes worden niet simpelweg opgesomd, maar geplaatst in hun fascinerende, historische ontwikkeling om te laten zien hoe de ontwerpers hun creativiteit en vernuft gebruik(t)en om goedwerkende oplossingen te vinden binnen de beperkingen van de beschikbare fabricageprocessen en beschermingsmogelijkheden (patenten). Veel oplossingen uit het verleden zijn klaar om te worden toegepast in de technologie van de toekomst!

Het vak richt zich primair op het kwalitatief beschrijven van de werkprincipes van bestaande technologieen, met de nadruk op bewegende mechanische constructies. Hoewel het kwantatief, in detail uitwerken van de kracht-bewegingsvergelijkingen niet het hoofddoel van het vak is, zijn mechanische vergelijkingen wel essentieel als zij leiden tot een beter begrip.

A hypothetical scenario is introduced in which the class is asked to apply their understanding of the forces that drive natural selection to prepare a proposal along with an environmental consulting company to help clean up an area near their school that is contaminated with trichloroethylene (TCE). Students use the Avida-ED software application to test hypotheses for evolving (engineering) a strain of bacteria that can biodegrade TCE, resulting in a non-hazardous clean-up solution. Conduct this design challenge activity after completion of the introduction to digital evolution activity, Studying Evolution with Digital Organisms.

The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways.

In this lesson students will examine three documents about the Montgomery Bus Boycott (1955-1956) to determine the importance of local activists, especially women, in the civil rights movement. This lesson might serve as an introduction to a unit on the civil rights movement.

The purpose of this task is to provide students with an opportunity to explain fraction equivalence through visual models in a particular example.

Students apply what they know about light polarization and attenuation (learned in the associated lesson) to design, build, test, refine and then advertise their prototypes for more effective sunglasses. Presented as a hypothetical design scenario, students act as engineers who are challenged to create improved sunglasses that reduce glare and lower light intensity while increasing eye protection from UVA and UVB radiation compared to an existing model of sunglasses—and make them as inexpensive as possible. They use a light meter to measure and compare light intensities through the commercial sunglasses and their prototype lenses. They consider the project requirements and constraints in their designs. They brainstorm and evaluate possible design ideas. They keep track of materials costs. They create and present advertisements to the class that promote the sunglasses benefits, using collected data to justify their claims. A grading rubric and reflection handout are provided.