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Course Standards
General Course Information and Notes
General Notes
Laboratory investigations that include the use of scientific inquiry, research, measurement, problem solving, laboratory apparatus and technologies, experimental procedures, and safety procedures are an integral part of this course. The National Science Teachers Association (NSTA) recommends that at the high school level, all students should be in the science lab or field, collecting data every week. School laboratory investigations (labs) are defined by the National Research Council (NRC) as an experience in the laboratory, classroom, or the field that provides students with opportunities to interact directly with natural phenomena or with data collected by others using tools, materials, data collection techniques, and models (NRC, 2006, p. 3). Laboratory investigations in the high school classroom should help all students develop a growing understanding of the complexity and ambiguity of empirical work, as well as the skills to calibrate and troubleshoot equipment used to make observations. Learners should understand measurement error; and have the skills to aggregate, interpret, and present the resulting data (National Research Council, 2006, p.77; NSTA, 2007).Special Notes:
Instructional Practices:
Teaching from a range of complex text is optimized when teachers in all subject areas implement the following strategies on a routine basis:
- Ensuring wide reading from complex text that varies in length.
- Making close reading and rereading of texts central to lessons.
- Emphasizing text-specific complex questions, and cognitively complex tasks, reinforce focus on the text and cultivate independence.
- Emphasizing students supporting answers based upon evidence from the text.
- Providing extensive research and writing opportunities (claims and evidence).
Science and Engineering Practices (NRC Framework for K-12 Science Education, 2010)
- Asking questions (for science) and defining problems (for engineering).
- Developing and using models.
- Planning and carrying out investigations.
- Analyzing and interpreting data.
- Using mathematics, information and computer technology, and computational thinking.
- Constructing explanations (for science) and designing solutions (for engineering).
- Engaging in argument from evidence.
- Obtaining, evaluating, and communicating information.
General Information
Student Resources
Original Student Tutorials
Learn to calculate the gravitational force on an object or its acceleration due to gravity using Newton's law of universal gravitation in this interactive science tutorial.
This is part 2 in a two-part series. Click HERE to open Part 1.
Type: Original Student Tutorial
Follow Isaac Newton's journey from watching the apple fall to explaining the motion of the Moon by deriving the law of universal gravitation in this interactive science tutorial.
Type: Original Student Tutorial
Learn how to graph linear functions by creating a table of values based on the equation in this interactive tutorial.
This is part 1 of a series of tutorials on linear functions.
Type: Original Student Tutorial
Learn about different formats of quadratic equations and their graphs with experiments involving launching and shooting of balls in this interactive tutorial.
This is part 2 of a two-part series: Click HERE to open part 1.
Type: Original Student Tutorial
Join us as we watch ball games and explore how the height of a ball bounce over time is represented by quadratic functions, which provides opportunities to interpret key features of the function in this interactive tutorial.
This is part 1 of a two-part series: Click HERE to open part 2.
Type: Original Student Tutorial
Discover how Isaac Newton's background, talents, interests, and goals influenced his groundbreaking work in this interactive tutorial.
This is part 4 in a 4-part series. Click below to explore the other tutorials in the series.
- Part 1: Discovering Newton's First Law of Motion: On the Soccer Pitch
- Part 2: Discovering Newton’s Second Law of Motion: On the Softball Diamond
- Part 3: Discovering Newton’s Third Law of Motion: On the Basketball Court
Type: Original Student Tutorial
Learn about Newton's third law of motion on the basketball court in this interactive tutorial.
This is part 3 in a 4-part series. Click below to explore the other tutorials in the series.
- Part 1: Discovering Newton's First Law of Motion: On the Soccer Pitch
- Part 2: Discovering Newton’s Second Law of Motion: On the Softball Diamond
- Part 4: Newton’s Insight: Standing on the Shoulders of Giants
Type: Original Student Tutorial
Learn about Newton's second law of motion on the softball diamond with this interactive tutorial.
This is part 2 in a 4-part series. Click below to explore the other tutorials in the series.
- Part 1: Discovering Newton’s First Law of Motion: On the Soccer Pitch
- Part 3: Discovering Newton’s Third Law of Motion: On the Basketball Court
- Part 4: Newton’s Insight: Standing on the Shoulders of Giants
Type: Original Student Tutorial
Take to the soccer pitch to learn about Newton's first law of motion in this interactive tutorial.
This part 1 in a 4-part series. Click below to explore the other tutorials in the series.
Part 2: Discovering Newton’s Second Law of Motion: On the Softball Diamond (Coming soon)
Part 3: Discovering Newton’s Third Law of Motion: On the Basketball Court (Coming soon)
Part 4: Newton’s Insight: Standing on the Shoulders of Giants (Coming soon)
Type: Original Student Tutorial
Follow Jake along as he relates box plots with other plots and identifies possible outliers in real-world data from surveys of moviegoers' ages in part 2 in this interactive tutorial.
This is part 2 of 2-part series, click HERE to view part 1.
Type: Original Student Tutorial
Follow Jake as he displays real-world data by creating box plots showing the 5 number summary and compares the spread of the data from surveys of the ages of moviegoers in part 1 of this interactive tutorial.
This is part 1 of 2-part series, click HERE to view part 2.
Type: Original Student Tutorial
Learn about exponential decay as you calculate the value of used cars by examining equations, graphs, and tables in this interactive tutorial.
Type: Original Student Tutorial
Learn how to interpret key features of linear functions and translate between representations of linear functions through exploring jobs for teenagers in this interactive tutorial.
Type: Original Student Tutorial
Learn about exponential growth in the context of interest earned as money is put in a savings account by examining equations, graphs, and tables in this interactive tutorial.
Type: Original Student Tutorial
Learn about exponential functions and how they are different from linear functions by examining real world situations, their graphs and their tables in this interactive tutorial.
Type: Original Student Tutorial
Learn how scientists measure viral spread and use this information to make recommendations for the public in this interactive tutorial.
Type: Original Student Tutorial
Explore how heat changes the temperature or the state of matter of a material in this interactive tutorial.
Type: Original Student Tutorial
Explore the three types of heat transfer that occur in our world as you complete this interactive tutorial.
Type: Original Student Tutorial
Practice writing different aspects of an expository essay about scientists using drones to research glaciers in Peru. This interactive tutorial is part four of a four-part series. In this final tutorial, you will learn about the elements of a body paragraph. You will also create a body paragraph with supporting evidence. Finally, you will learn about the elements of a conclusion and practice creating a “gift.”
This tutorial is part four of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Learn how to write an introduction for an expository essay in this interactive tutorial. This tutorial is the third part of a four-part series. In previous tutorials in this series, students analyzed an informational text and video about scientists using drones to explore glaciers in Peru. Students also determined the central idea and important details of the text and wrote an effective summary. In part three, you'll learn how to write an introduction for an expository essay about the scientists' research.
This tutorial is part three of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Learn how to identify the central idea and important details of a text, as well as how to write an effective summary in this interactive tutorial. This tutorial is the second tutorial in a four-part series that examines how scientists are using drones to explore glaciers in Peru.
This tutorial is part two of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Learn about how researchers are using drones, also called unmanned aerial vehicles or UAVs, to study glaciers in Peru. In this interactive tutorial, you will practice citing text evidence when answering questions about a text.
This tutorial is part one of a four-part series. Click below to open the other tutorials in this series.
- Drones and Glaciers: Eyes in the Sky (Part 1)
- Drones and Glaciers: Eyes in the Sky (Part 2)
- Expository Writing: Eyes in the Sky (Part 3)
- Expository Writing: Eyes in the Sky (Part 4)
Type: Original Student Tutorial
Learn how to evaluate a speaker's point of view, reasoning, and use of evidence. In this interactive tutorial, you'll examine Abraham Lincoln's "Gettysburg Address" and evaluate the effectiveness of his words by analyzing his use of reasoning and evidence.
Type: Original Student Tutorial
See how data are interpreted to better understand the reproductive strategies taken by sea anemones with this interactive tutorial.
Type: Original Student Tutorial
Examine field sampling strategies used to gather data and avoid bias in ecology research. This interactive tutorial features the CPALMS Perspectives video .
Type: Original Student Tutorial
Learn to define, calculate, and interpret marginal frequencies, joint frequencies, and conditional frequencies in the context of the data with this interactive tutorial.
Type: Original Student Tutorial
Learn how to identify and describe the leading scientific explanations of the origin of life on Earth.
Type: Original Student Tutorial
Learn what scientific laws and scientific theories are and how they are different from what we commonly call laws and theories outside of science with this interactive tutorial.
Type: Original Student Tutorial
Follow as we discover key features of a quadratic equation written in vertex form in this interactive tutorial.
Type: Original Student Tutorial
Learn how to identify explicit evidence and understand implicit meaning in a text and demonstrate how and why scientific inferences are drawn from scientific observation and be able to identify examples in biology.
Type: Original Student Tutorial
Learn to distinguish between questions that can be answered by science and questions that science cannot answer. This interactive tutorial will help you distinguish between science and other ways of knowing, including art, religion, and philosophy.
Type: Original Student Tutorial
Educational Software / Tool
This Excel spreadsheet allows the educator to input data into a two way frequency table and have the resulting relative frequency charts calculated automatically on the second sheet. This resource will assist the educator in checking student calculations on student-generated data quickly and easily.
Steps to add data: All data is input on the first spreadsheet; all tables are calculated on the second spreadsheet
- Modify column and row headings to match your data.
- Input joint frequency data.
- Click the second tab at the bottom of the window to see the automatic calculations.
Type: Educational Software / Tool
Lesson Plans
This lesson's primary focus is to introduce high school students to the concept of Elasticity, which is one of the fundamental concepts in the understanding of the physics of deformation in solids. The main learning objectives are: (1) To understand the essential concept of Elasticity and be able to distinguish simple solids objects based on degree and extent of their elastic properties; (2) To appreciate the utility of the elastic force vs. deformation curve through experiments; (3) To be aware of potential sources of error present in such experiments and identify corrective measures; and (4) To appreciate the relevance of Elasticity in practical applications.
Type: Lesson Plan
This BLOSSOMS lesson discusses Carbon Dioxide, and its impact on climate change. The main learning objective is for students to become more familiar with human production of Carbon Dioxide gas, as well as to gain an awareness of the potential for this gas to effect the temperature of Earth’s atmosphere. This lesson should take about an hour to complete. In order to complete the lesson, the teacher will need: printed copies of signs representing the different products and processes that take place in the carbon cycle (included), samples of matter that represent those products, handouts for the students to create a graphic of the carbon cycle (included) and graph paper or graphing software for students to create graphs. In the breaks of this BLOSSOMS lesson, students will be creating models of the carbon cycle as well as observing experiments and analyzing data from them. It is hoped that this lesson will familiarize students with ways in which carbon moves through our environment and provide them with some personal connection to the impact that an increased concentration of CO2 can have on air temperature. The goal is to spark their interest and hopefully to encourage them to ask and investigate more questions about the climate.Â
Type: Lesson Plan
This lesson focuses on two elements: understanding Newton’s laws of motion, and how to use Newton’s laws to create force diagrams. This lesson also demonstrates how to incorporate requirements of the Next Generation Science Standards (NGSS) into a physics lesson. It uses a discrepant event (phenomenon) to model forces at work on an object resulting in motion.Â
Type: Lesson Plan
The goal of this lesson is to explain how sailboats work by exploring basic physics principles. At the end of this lesson, students will be able to identify the forces acting on a sailboat and explain how the combination of these forces results in the forward motion of a sailboat. Students should be familiar with vectors and be able to use them to represent forces and moments, and also should be familiar with using free body diagrams to represent forces and moments. The classroom activity challenges are centered around small-group discussions based on the questions posed before each break. Free body diagrams, or another conceptual representation of his or her answer, should support each student’s solution to the questions posed in the video.
Type: Lesson Plan
Perspectives Video: Experts
<p>Jump to it and learn more about how quadratic equations are used in robot navigation problem solving!</p>
Type: Perspectives Video: Expert
The tide is high! How can we statistically prove there is a relationship between the tides on the Gulf Coast and in a fresh water spring 20 miles from each other?
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
Statistical analysis played an essential role in using microgravity sensors to determine location of caves in Wakulla County.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
Dr. Oates uses engineering practices to design artificial muscles that react to electrostatic fields.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
Learn more about the atomic model and antimatter!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
Plants need visible light, just not all of it. Learn how space plants and their lights strive for efficiency.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
Humans aren't the only ones who get their fingerprints taken. Learn how this scientist is like a crime scene investigator using oil "fingerprints" to explain the orgins of spilled oil.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
Perspectives Video: Professional/Enthusiasts
An engineer that has previously worked on the F-22 Raptor explains how resistivity in wires plays a role in the development of a large machine.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
We'll be looking at the role of pitch, number of blades and material for outboard motor props as it relates to the propulsion of a boat
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
<p>Get fired up as you learn more about ceramic glaze recipes and mathematical units.</p>
Type: Perspectives Video: Professional/Enthusiast
Learn how the shape of a didgeridoo affects its sound in this totally tubular video.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
<p>Math is important to help you get where you want to go in life, especially if you plan to fly there!</p>
Type: Perspectives Video: Professional/Enthusiast
Sharpen your knowledge by understanding the forces used to make stone tools.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
If you want to understand the atom, you'll need a lot of energy. Learn how physicists use high energy light and electrons to study atomic structure.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
Physics is cool, especially if you want to make super-cold, super-efficient, superconductive materials.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
Want to watch a video on audio engineering and frequency? Sounds good to me.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
A welder wields a plasma torch to cut solid metal like a hot knife through butter. It's one-stop shopping to see all four states of matter.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
An archaeologist explains how he is using x-rays to reconstruct a nineteenth-century battle!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
Dive deep into science as an oceanographer describes conduction, convection, and radiation and their relationship to oceanic systems.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
<p>Forge a new understanding of metallurgy and heat transfer by learning how this blacksmith and collier make nails.</p>
Type: Perspectives Video: Professional/Enthusiast
It's okay if you're not on quite the same wavelength as this ethnomusicologist. In Balinese gamelan tuning, that's a good thing!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
Archaeologists can see underground trends before everyone else with ground penetrating radar (GPR).
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
When you watch this video, your knowledge related to flight and physics will really take off!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
If physics has you down, don't fret - this musician covers all the bases.
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
Physical science and social science connect in this discussion of Balinese gamelan. Full STEAM ahead!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Professional/Enthusiast
<p>Hydrogen is used to launch spacecraft, but accidental fires are difficult to see. Learn about the physics of these fires and how we detect them.</p>
Type: Perspectives Video: Professional/Enthusiast
Problem-Solving Tasks
The purpose of this task is to allow students to demonstrate an ability to construct boxplots and to use boxplots as the basis for comparing distributions.
Type: Problem-Solving Task
This problem solving task asks students to make deductions about the kind of music students enjoy by examining data in a two-way table.
Type: Problem-Solving Task
This problem solving task challenges students to answer probability questions about SAT scores, using distribution and mean to solve the problem.
Type: Problem-Solving Task
This problem could be used as an introductory lesson to introduce group comparisons and to engage students in a question they may find amusing and interesting.
Type: Problem-Solving Task
The purpose of this task is to have students complete normal distribution calculations and to use properties of normal distributions to draw conclusions.
Type: Problem-Solving Task
This task requires students to use the normal distribution as a model for a data distribution. Students must use given means and standard deviations to approximate population percentages.
Type: Problem-Solving Task
The task provides a context to calculate discrete probabilities and represent them on a bar graph.
Type: Problem-Solving Task
This problem solving task asks students to explain which measurements are needed to estimate the thickness of a soda can. Multiple solution processes are presented.
Type: Problem-Solving Task
This problem solving task challenges students to find the surface area of a soda can, calculate how many cubic centimeters of aluminum it contains, and estimate how thick it is.
Type: Problem-Solving Task
This is a mathematical modeling task aimed at making a reasonable estimate for something which is too large to count accurately, the number of leaves on a tree.
Type: Problem-Solving Task
This is a mathematical modeling task aimed at making a reasonable estimate for something which is too large to count accurately, the number of leaves on a tree.
Type: Problem-Solving Task
This problem solving task challenges students to apply the concepts of mass, volume, and density in the real-world context to find how many cells are in the human body.
Type: Problem-Solving Task
This problem solving task gives an interesting context for implementing ideas from geometry and trigonometry.
Type: Problem-Solving Task
This problem solving task uses the tale of Archimedes and the King of Syracuse's crown to determine the volume and mass of gold and silver.
Type: Problem-Solving Task
In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context.
Type: Problem-Solving Task
This problem-solving task challenges students to find all quadratic functions described by given equation and coordinates, and describe how the graphs of those functions are related to one another.
Type: Problem-Solving Task
This task is meant to be a straight-forward assessment task of graph reading and interpreting skills. This task helps reinforce the idea that when a variable represents time, t = 0 is chosen as an arbitrary point in time and positive times are interpreted as times that happen after that.
Type: Problem-Solving Task
This task could be used for assessment or for practice. It allows students to compare characteristics of two quadratic functions that are each represented differently, one as the graph of a quadratic function and one written out algebraically. Specifically, students are asked to determine which function has the greatest maximum and the greatest non-negative root.
Type: Problem-Solving Task
This task asks students to find the average, write an equation, find the domain, and create a graph of the cost of producing DVDs.
Type: Problem-Solving Task
The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout. Students are asked to determine which product will be the most economical to meet the requirements given in the problem.
Type: Problem-Solving Task
In this task students are given graphs of quantities related to weather. The purpose of the task is to show that graphs are more than a collection of coordinate points; they can tell a story about the variables that are involved, and together they can paint a very complete picture of a situation, in this case the weather. Features in one graph, like maximum and minimum points, correspond to features in another graph. For example, on a rainy day, the solar radiation is very low, and the cumulative rainfall graph is increasing with a large slope.
Type: Problem-Solving Task
This problem introduces a logistic growth model in the concrete settings of estimating the population of the U.S. The model gives a surprisingly accurate estimate and this should be contrasted with linear and exponential models.
Type: Problem-Solving Task
This task is for instructional purposes only and students should already be familiar with some specific examples of logistic growth functions. The goal of this task is to have students appreciate how different constants influence the shape of a graph.
Type: Problem-Solving Task
This task can be used as a quick assessment to see if students can make sense of a graph in the context of a real world situation. Students also have to pay attention to the scale on the vertical axis to find the correct match. The first and third graphs look very similar at first glance, but the function values are very different since the scales on the vertical axes are very different. The task could also be used to generate a group discussion on interpreting functions given by graphs.
Type: Problem-Solving Task
The purpose of this task is to illustrate through an absurd example the fact that in real life quantities are reported to a certain level of accuracy, and it does not make sense to treat them as having greater accuracy.
Type: Problem-Solving Task
This task operates at two levels. In part it is a simple exploration of the relationship between speed, distance, and time. Part (c) requires understanding of the idea of average speed, and gives an opportunity to address the common confusion between average speed and the average of the speeds for the two segments of the trip.
At a higher level, the task addresses MAFS.912.N-Q.1.3, since realistically neither the car nor the bus is going to travel at exactly the same speed from beginning to end of each segment; there is time traveling through traffic in cities, and even on the autobahn the speed is not constant. Thus students must make judgments about the level of accuracy with which to report the result.
Type: Problem-Solving Task
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.
Type: Problem-Solving Task
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.
Type: Problem-Solving Task
The problem requires students to not only convert miles to kilometers and gallons to liters but they also have to deal with the added complication of finding the reciprocal at some point.
Type: Problem-Solving Task
This task asks students to calculate the cost of materials to make a penny, utilizing rates of grams of copper.
Type: Problem-Solving Task
Students are asked to use units to determine if the given statement is valid.
Type: Problem-Solving Task
This is a challenging task, suitable for extended work, and reaching into a deep understanding of units. Students are given a scenario and asked to determine the number of people required to complete the amount of work in the time described. The task requires students to exhibit , Make sense of problems and persevere in solving them. An algebraic solution is possible but complicated; a numerical solution is both simpler and more sophisticated, requiring skilled use of units and quantitative reasoning. Thus the task aligns with either MAFS.912.A-CED.1.1 or MAFS.912.N-Q.1.1, depending on the approach.
Type: Problem-Solving Task
Students explore and manipulate expressions based on the following statement:
A function f defined for -a < x="">< a="" is="" even="" if="" f(-x)="f(x)" and="" is="" odd="" if="" f(-x)="-f(x)" when="" -a="">< x="">< a.="" in="" this="" task="" we="" assume="" f="" is="" defined="" on="" such="" an="" interval,="" which="" might="" be="" the="" full="" real="" line="" (i.e.,="" a="">
Type: Problem-Solving Task
Students compare graphs of different quadratic functions, then produce equations of their own to satisfy given conditions.
This exploration can be done in class near the beginning of a unit on graphing parabolas. Students need to be familiar with intercepts, and need to know what the vertex is. It is effective after students have graphed parabolas in vertex form (y=a(x–h)2+k), but have not yet explored graphing other forms.
Type: Problem-Solving Task
This resource poses the question, "how many vehicles might be involved in a traffic jam 12 miles long?"
This task, while involving relatively simple arithmetic, promps students to practice modeling (MP4), work with units and conversion (N-Q.1), and develop a new unit (N-Q.2). Students will also consider the appropriate level of accuracy to use in their conclusions (N-Q.3).
Type: Problem-Solving Task
The task is a modeling problem which ties in to financial decisions faced routinely by businesses, namely the balance between maintaining inventory and raising short-term capital for investment or re-investment in developing the business.
Type: Problem-Solving Task
This task provides students the opportunity to make use of units to find the gas needed (). It also requires them to make some sensible approximations (e.g., 2.92 gallons is not a good answer to part (a)) and to recognize that Felicia's situation requires her to round up. Various answers to (a) are possible, depending on how much students think is a safe amount for Felicia to have left in the tank when she arrives at the gas station. The key point is for them to explain their choices. This task provides an opportunity for students to practice MAFS.K12.MP.2.1: Reason abstractly and quantitatively, and MAFS.K12.MP.3.1: Construct viable arguments and critique the reasoning of others.
Type: Problem-Solving Task
This task requires students to recognize the graphs of different (positive) powers of x.
Type: Problem-Solving Task
The primary purpose of this task is to lead students to a numerical and graphical understanding of the behavior of a rational function near a vertical asymptote, in terms of the expression defining the function.
Type: Problem-Solving Task
The purpose of this task is to give students practice constructing functions that represent a quantity of interest in a context, and then interpreting features of the function in the light of the context. It can be used as either an assessment or a teaching task.
Type: Problem-Solving Task
This problem involves the meaning of numbers found on labels. When the level of accuracy is not given we need to make assumptions based on how the information is reported. An unexpected surprise awaits in this case, however, as no reasonable interpretation of the level of accuracy makes sense of the information reported on the bottles in parts (b) and (c). Either a miscalculation has been made or the numbers have been rounded in a very odd way.
Type: Problem-Solving Task
Text Resources
NASA's "Beginner's Guide to Aerodynamics" provides some general information on the basics of aerodynamics. The site allows users to explore at their own pace and level of interest. The topics available include equations of motion, free falling, air resistance, force, gas properties, and atmosphere. Movies, reading materials, and activities are all available to accommodate a variety of different learning styles.
Type: Text Resource
This site presents the basic ideas of magnetism and applies these ideas to the earth's magnetic field. There are several useful diagrams and pictures interspersed throughout this lesson, as well as links to more detailed subjects. This is an introduction to a larger collection on exploring the Earth's magnetosphere. A Spanish translation is available.
Type: Text Resource
Tutorials
You will learn how the parent function for a quadratic function is affected when f(x) = x2.
Type: Tutorial
This tutorial will help the students to identify the vertex of a parabola from the equation, and then graph the parabola.
Type: Tutorial
This tutorial helps the learners to graph the equation of a quadratic function using the coordinates of the vertex of a parabola and its x- intercepts.
Type: Tutorial
This tutorial will help you to learn about exponential functions by graphing various equations representing exponential growth and decay.
Type: Tutorial
Would a brick or feather fall faster? What would fall faster on the moon?
Type: Tutorial
This video discusses how to figure out the horizontal displacement for a projectile launched at an angle.
Type: Tutorial
This video tutorial from the Khan Academy explains how to calculate the acceleration of ice down a plane made of ice.
Type: Tutorial
This video tutorial shows how to figure out the components of force due to gravity that are parallel and perpendicular to the surface of an inclined plane.
Type: Tutorial
This tutorial is about projectile motion. This powerpoint lecture discusses the independence of the vertical and horizontal motion of projectiles. Students will be asked to solve problems involving projectile motion of both projectiles fired horizontally and at an angle. This tutorial is geared for advanced students.
Type: Tutorial
This tutorial provides the learners with detailed information about forces. Topics covered include Newton's Laws, friction, gravity, balanced and unbalanced forces, vectors, weight, motion and momentum.
Type: Tutorial
This tutorial contains information about the characteristics of longitudinal, transverse, and surface waves. This tutorial will also provide information about the amplitude, frequency, wavelength, speed, refraction, reflection, diffraction, and constructive and destructive interference of the waves.
Type: Tutorial
This resource explores the electromagnetic spectrum and waves by allowing the learner to observe the refraction of light as it passes from one medium to another, study the relation between refraction of light and the refractive index of the medium, select from a list of materials with different refractive indicecs, and change the light beam from white to monochromatic and observe the difference.
Type: Tutorial
- Observe how the eye's muscles change the shape of the lens in accordance with the distance to the object being viewed
- Indicate the parts of the eye that are responsible for vision
- View how images are formed in the eye
Type: Tutorial
- Learn how a concave spherical mirror generates an image
- Observe how the size and position of the image changes with the object distance from the mirror
- Learn the difference between a real image and a virtual image
- Learn some applications of concave mirrors
Type: Tutorial
- Learn how a convex mirror forms the image of an object
- Understand why convex mirrors form small virtual images
- Observe the change in size and position of the image with the change in object's distance from the mirror
- Learn some practical applications of convex mirrors
Type: Tutorial
- Observe the change of color of a black body radiator upon changes in temperature
- Understand that at 0 Kelvin or Absolute Zero there is no molecular motion
Type: Tutorial
This resource explains how a solar cell converts light energy into electrical energy. The user will also learn about the different components of the solar cell and observe the relationship between photon intensity and the amount of electrical energy produced.
Type: Tutorial
- Observe that light is composed of oscillating electric and magnetic waves
- Explore the propagation of an electromagnetic wave through its electric and magnetic field vectors
- Observe the difference in propagation of light of different wavelengths
Type: Tutorial
- Explore the relationship between wavelength, frequency, amplitude and energy of an electromagnetic wave
- Compare the characteristics of waves of different wavelengths
Type: Tutorial
- Learn to trace the path of propagating light waves using geometrical optics
- Observe the effect of changing parameters such as focal length, object dimensions and position on image properties
- Learn the equations used in determining the size and locations of images formed by thin lenses
Type: Tutorial
Video/Audio/Animations
With an often unexpected outcome from a simple experiment, students can discover the factors that cause and influence thermohaline circulation in our oceans. In two 45-minute class periods, students complete activities where they observe the melting of ice cubes in saltwater and freshwater, using basic materials: clear plastic cups, ice cubes, water, salt, food coloring, and thermometers. There are no prerequisites for this lesson but it is helpful if students are familiar with the concepts of density and buoyancy as well as the salinity of seawater. It is also helpful if students understand that dissolving salt in water will lower the freezing point of water. There are additional follow up investigations that help students appreciate and understand the importance of the ocean's influence on Earth's climate.
Type: Video/Audio/Animation
Ocean explorer Robert Ballard gives a TED Talk relating to the mysteries of the ocean, and the importance of its continued exploration.
Type: Video/Audio/Animation
- Observe the photosynthesis mechanism in the plant
- Learn about the main chemical reactions that takes place during photosynthesis
- Learn how solar energy is converted into chemical energy
Type: Video/Audio/Animation
This video provides a historical background about the definition of a planet and how different objects discovered in space were classified as planets or fir into a different category
Type: Video/Audio/Animation
A collection of crossword puzzles that test the knowledge of students about some of the terms, processes, and classifications covered in science topics
Type: Video/Audio/Animation
Learn how to build a circuit
Show the difference between AC and DC
Describe the effect of an inductor on a circuit
Describe the effect of a capacitor on a circuit
Learn how to use an ammeter and a voltmeter in a circuit
Type: Video/Audio/Animation
This video contains a demo that can be performed to show that light consists of particles
It also uses Lasers with different wavelengths
Type: Video/Audio/Animation
- Identify the driving force in a circuit using a battery model
- Explain the difference between conductive (metals and photoconductors) and non-conductive (plastics) materials
Type: Video/Audio/Animation
Khan Academy video tutorial on graphing linear equations: "Algebra: Graphing Lines 1"
Type: Video/Audio/Animation
A 4-minute video in which an Olympic freestyle skier and a physicist discuss the physics behind freestyle skiing.
Type: Video/Audio/Animation
In this National Science Foundation video and reading selection lab ecologist Janis Dickinson explains how she depends on citizen scientists to help her track the effects of disease, land-use change and environmental contaminants on the nesting success of birds.
Type: Video/Audio/Animation
Virtual Manipulatives
This website has a short biography about Sir Isaac Newton. It also reviews his three laws of motion with examples, and ends with a short quiz.
Type: Virtual Manipulative
In this simulation, learn about the black body spectrum of the sun, a light bulb, an oven and the earth. Adjust the temperature to see how the wavelength and intensity of the spectrum are affected.
Type: Virtual Manipulative
Learn more about collisions with the use of a virtual air hockey table. Investigate simple and complex collisions in one and two dimensions.Experiment with the number of discs, masses and initial conditions. Vary the elasticity and see how the total momentum and kinetic energy changes during collisions.
Some of the sample learning goals can be:
- Draw "Before and After" pictures of collisions.
- Construct momentum vector representations of "Before and After" collisions.
- Apply law of conservation of momentum to solve problems with collisions.
- Explain why energy is not conserved and varies in some collisions.
- Determine the change in mechanical energy in collisions of varying "elasticity".
- What does "elasticity" mean?
Type: Virtual Manipulative
How did scientists figure out the structure of atoms without looking at them? Try out different models by shooting light at the atom. Check how the prediction of the model matches the experimental results.
Type: Virtual Manipulative
In this activity, students adjust slider bars which adjust the coefficients and constants of a linear function and examine how their changes affect the graph. The equation of the line can be in slope-intercept form or standard form. This activity allows students to explore linear equations, slopes, and y-intercepts and their visual representation on a graph. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
This resource provides linear functions in standard form and asks the user to graph it using intercepts on an interactive graph below the problem. Immediate feedback is provided, and for incorrect responses, each step of the solution is thoroughly modeled.
Type: Virtual Manipulative
The split brain experiments revealed that the right and the left hemisphere in the brain are good at different things. For instance, the right hemisphere is good at space perception tasks and music while the left is good at verbal and analytic tasks. This game guides students through some examples of the split-brain phenomenon and how the differences are understood.
Type: Virtual Manipulative
This virtual manipulative will help the students to understand how the light shines on a metal surface. Students will recognize a process called as photoelectric effect wherein light can be used to push electrons from the surface of a solid.
Some of the sample learning goals can be:
- Visualize and describe the photoelectric effect experiment.
- Predict the results of the experiment, when the intensity of light is changed and its effects on the current and energy of the electrons.
- Predict the results of the experiment, when the wavelength of the light is changed and its effects on the current and the energy of the electrons.
- Predict the results of the experiment, when the voltage of the light is changed and its effects on the current and energy of electrons.
Type: Virtual Manipulative
Learn how to build a circuit
Learn how to measure voltage in a circuit using a voltmeter
Determine the resistance of certain objects that can be used as part of an electric circuit
Explain the difference between parallel and series circuits
Type: Virtual Manipulative
This virtual manipulative will allow the students to understand how does a lens form an image. Students can see how light rays are refracted by a lens. Students can recognize that the image changes when they adjust the focal length of the lens, move the object, move the lens, or move the screen.
Some of the sample learning goals can be:
- Explain how an image is formed by a converging lens using ray diagrams.
- How changing the lens (radius, index, and diameter) effects where the image appears and ho it looks it terms of magnification, brightness and inversion.
Type: Virtual Manipulative
This virtual manipulative will allow the students to understand that the electric field is the region where the force on one charge is caused by the presence of another charge. The students will recognize the equipotential lines that exist between the charged regions.
Some of the sample learning goals can be:
- Determine the variables that affect how charged bodies interact.
- Predict how charged bodies will interact.
- Describe the strength and direction of the electric field around a charged body.
Type: Virtual Manipulative
This virtual manipulative will allow the user to see how the equation form of ohm's law relates to a simple circuit. Learners can adjust the voltage and resistance, and see the current change according to Ohm's law. The size of the symbols in the equation change to match the circuit diagram.
Type: Virtual Manipulative
This virtual manipulative will the students learn about position, velocity and acceleration. Acceleration is the derivative of velocity with respect to time and the velocity is the derivative of position with respect to time. With the elimination of time, the relationship between the acceleration, velocity and position can be represented as x = v2 / 2a. In the stimulation, students will be able to move the man back and forth with the mouse and plot his motion.
Some of the sample learning goals can be:
- Interpret, predict and draw charts (position, velocity, and acceleration) for common situations.
- Provide reasoning used to make sense of the charts.
Type: Virtual Manipulative
Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed.
Type: Virtual Manipulative
Explore how a capacitor works in this simulation. Change the plates and add a dielectric to see how it affects capacitance. Change the voltage and see charges built up on the plates. You can observe the electric field in the capacitor, measure voltage and the electric field.
Other investigations can include:
- Determine the relationship between charge and voltage for a capacitor.
- Determine the energy stored in a capacitor or a set of capacitors in a circuit.
- Explore the effect of space and dielectric materials inserted between the conductors of the capacitor in a circuit.
- Determine the equivalent capacitance of a set of capacitors in series and in parallel in a circuit.
Type: Virtual Manipulative
This virtual manipulative will help you investigate how Rutherford figured out the structure of the atom without being able to see it. This simulation will allow the you to explore the famous experiment in which Rutherford disproved the Plum Pudding model of the atom by observing alpha particles bouncing off atoms and determining that they must have a small core.
Further explorations of the tutorial could include:
- Describe the qualitative difference between scattering off positively charged nuclei and electrically neutral plum pudding atoms.
- For a charged nucleus, describe qualitatively how angle of deflection depends on: energy of incoming particle, impact parameters, and charge of target.
Type: Virtual Manipulative
This manipulative will help the students to learn about the physics of resistance in a wire. The electrical resistance of a wire would be expected to be greater for a longer wire, less for a wire of larger cross sectional area, and would be expected to depend upon the material out of which the wire is made, to understand this, students can change the resistivity, length, and area to see how they affect the wire's resistance. The sizes of the symbols in the equation change along with the diagram of a wire.
Some of the sample learning goals can be:
- What characteristics of a resistor are variable in this model?
- How does each affect the resistance (will increasing or decreasing each make the resistance correspondingly increase or decrease?)
- Explain your ideas about why they change the resistance.
Type: Virtual Manipulative
This virtual manipulative will allow you to visualize the gravitational force that two objects exert on each other. By changing the properties of the objects, you can see how the gravitational force changes.
Some areas to explore:
- Relate gravitational force to masses of objects and distance between objects.
- Explain Newton's third law for gravitational forces.
- Design experiments that allow you to derive an equation that related mass, distance, and gravitational force.
- Use measurements to determine the universal gravitational constant.
Type: Virtual Manipulative
This activity will help to investigate how a greenhouse gas affects the climate, or why the ozone layer is important. Using this simulation, explore how light interacts with molecules in our atmosphere.
Areas to explore:
- How light interacts with molecules in our atmosphere.
- Identify that absorption of light depends on the molecule and the type of light.
- Relate the energy of the light to the resulting motion.
- Identify that energy increases from microwave to ultraviolet.
- Predict the motion of a molecule based on the type of light it absorbs.
- Identify how the structure of a molecule affects how it interacts with light.
Type: Virtual Manipulative
Students will pump gas molecules to a box and see what happens as they change the volume, add or remove heat, change gravity, and more. Measure the temperature and pressure, and discover how the properties of the gas vary in relation to each other.
- Students can predict how changing a variable among pressure, volume, temperature and number influences other gas properties.
- Students can predict how changing temperature will affect the speed of molecules.
- Students can rank the speed of molecules in thermal equilibrium based on the relative masses of molecules.
Type: Virtual Manipulative
An electronic kit in your computer! Build circuits with resistors, light bulbs, batteries, and switches. Take measurements with the realistic ammeter and voltmeter. View the circuit as a schematic diagram, or switch to a life-like view.
Other options for exploration:
- Discuss basic electricity relationships
- Build circuits from schematic drawings.
- Use an ammeter and voltmeter to take readings in circuits.
- Provide reasoning to explain the measurements and relationship in circuits.
- Discuss basic electricity relationships in series and parallel circuits.
- Provide reasoning to explain the measurements in circuits.
- Determine the resistance of common objects in the "Grab Bag".
Type: Virtual Manipulative
Explore pressure under and above water. See how pressure changes as one change fluids, gravity, container shapes, and volume.
With this simulation you can:
- Investigate how pressure changes in air and water.
- Discover how to change pressure.
- Predict pressure in a variety of situations.
Type: Virtual Manipulative
This simulation allows you to explore forces and motion as you push household objects up and down a ramp. Observe how the angle of inclination affects the parallel forces. Graphical representation of forces, energy and work makes it easier to understand the concept.
Some of the learning goals can be:
- Predict, qualitatively, how an external force will affect the speed and direction of an object's motion.
- Explain the effects with the help of a free body diagram
- Use free body diagrams to draw position, velocity, acceleration and force graphs and vice versa.
- Explain how the graphs relate to one another.
- Given a scenario or a graph, sketch all four graphs.
Type: Virtual Manipulative
In this activity, students use preset data or enter in their own data to be represented in a box plot. This activity allows students to explore single as well as side-by-side box plots of different data. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the Java applet.
Type: Virtual Manipulative
Using this virtual manipulative, students are able to graph a function and a set of ordered pairs on the same coordinate plane. The constants, coefficients, and exponents can be adjusted using slider bars, so the student can explore the affect on the graph as the function parameters are changed. Students can also examine the deviation of the data from the function. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
With this online tool, students adjust the standard deviation and sample size of a normal distribution to see how it will affect a histogram of that distribution. This activity allows students to explore the effect of changing the sample size in an experiment and the effect of changing the standard deviation of a normal distribution. Tabs at the top of the page provide access to supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
In this online tool, students input a function to create a graph where the constants, coefficients, and exponents can be adjusted by slider bars. This tool allows students to explore graphs of functions and how adjusting the numbers in the function affect the graph. Using tabs at the top of the page you can also access supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
This is an online graphing utility that can be used to create box plots, bubble graphs, scatterplots, histograms, and stem-and-leaf plots.
Type: Virtual Manipulative
The students will see and hear the effects of changing the frequency and/or amplitude of a sound wave. This animation may also be used to demonstrate the Doppler effect, reflection and interference of sound waves.
Type: Virtual Manipulative
The students will drag a red point across the screen in any direction they please and, in the process, will be able to see the forces that are being put on that point at any given moment.
Type: Virtual Manipulative
The students will try to move a red ball into a blue goal without touching the walls. They will have fun competing amongst themselves to get the best time but at the same time they will also be learning about vectors, velocity, and acceleration.
Type: Virtual Manipulative
This simulation demonstrates the physics of projectile motion. The user can fire different objects through a cannon, set its speed, angle and mass and observe the resultant motion.
Type: Virtual Manipulative
With a mouse, students will drag data points (with their error bars) and watch the best-fit polynomial curve form instantly. Students can choose the type of fit: linear, quadratic, cubic, or quartic. Best fit or adjustable fit can be displayed.
Type: Virtual Manipulative
This interactive simulation investigates graphing linear and quadratic equations. Users are given the ability to define and change the coefficients and constants in order to observe resulting changes in the graph(s).
Type: Virtual Manipulative
The students will rub a balloon on a sweater and see how charges are exchanged between the two objects. With these changes they will see their interactions.
Type: Virtual Manipulative
The students will have the opportunity to build their own circuit loop with the materials presented to them.
Type: Virtual Manipulative
Watch different types of molecules form a solid, liquid, or gas. Add or remove heat and watch the phase change. Change the temperature or volume of a container and see a pressure-temperature diagram respond in real time.
Type: Virtual Manipulative
This virtual manipulative histogram tool can aid in analyzing the distribution of a dataset. It has 6 preset datasets and a function to add your own data for analysis.
Type: Virtual Manipulative
This activity allows the user to graph data sets in multiple bar graphs. The color, thickness, and scale of the graph are adjustable which may produce graphs that are misleading. Users may input their own data, or use or alter pre-made data sets. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
In this activity, students can create and view a histogram using existing data sets or original data entered. Students can adjust the interval size using a slider bar, and they can also adjust the other scales on the graph. This activity allows students to explore histograms as a way to represent data as well as the concepts of mean, standard deviation, and scale. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
Congratulations
