Project 2061 Benchmarks for Science Literacy

Rhode Island uses the Project 2061 Benchmarks for Science Literacy for their standards.

The STANDARDS CORRELATION chart suggests which Project 2061 Benchmarks for Science Literacy you can cover using PASSPORT TO ANTARCTICA in your classroom. We hope you will discover additional standards you can use. These are the ones our Instructional Materials Development team felt most directly related to the activities contained in PASSPORT TO ANTARCTICA.

For additional Project 2061 Benchmarks for Science Literacy you can cover see the STANDARDS CORRELATION chart for the following PASSPORT TO KNOWLEDGE projects:

PASSPORT TO THE RAINFOREST

PASSPORT TO THE SOLAR SYSTEM

PASSPORT TO WEATHER AND CLIMATE

LIVE FROM MARS 2001/2002

PASSPORT TO THE UNIVERSE

Kindergarten through Grade 2,   Grades 3-5,   Grades 6-8,   Grades 9-12

Kindergarten through Grade 2

The Nature of Science
A. The Scientific World View

By the end of the 2nd grade, students should know that:

 

When a science investigation is done the way it was done before, we expect to get a very similar result.

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Science investigations generally work the same way in different places.

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B. Scientific Inquiry

By the end of the 2nd grade, students should know that:

 

People can often learn about things around them by just observing those things carefully, but sometimes they can learn more by doing something to the things and noting what happens.

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Tools such as thermometers, magnifiers, rulers, or balances often give more information about things than can be obtained by just observing things without their help.

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Describing things as accurately as possible is important in science because it enables people to compare their observations with those of others.

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When people give different descriptions of the same thing, it is usually a good idea to make some fresh observations instead of just arguing about who is right.

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C. The Scientific Enterprise

By the end of the 2nd grade, students should know that:

 

Everybody can do science and invent things and ideas.

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In doing science, it is often helpful to work with a team and to share findings with others. All team members should reach their own individual conclusions, however, about what the findings mean.

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A lot can be learned about plants and animals by observing them closely, but care must be taken to know the needs of living things and how to provide for them in the classroom.

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The Nature of Mathematics
A. Patterns and Relationships

By the end of the 2nd grade, students should know that:

 

Cirles, squares, triangles, and other shapes can be found in things in nature and in things that people build.

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Patterns can be made by putting different shapes together or taking them apart.

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Things move, or can be made to move, along straight, curved, circular, back-and-forth, and jagged paths.

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Numbers can be used to count any collection of things.

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B. Mathematics, Science, and Technology

By the end of the 2nd grade, students should know that:

 

No benchmarks for this level.

 


C. Mathematical Inquiry

By the end of the 2nd grade, students should know that:

 

Numbers and shapes can be used to tell about things.

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The Nature of Technology
A. Technology and Science

By the end of the 2nd grade, students should know that:

 

Tools are used to do things better or more easily and to do some things that could not otherwise be done at all. In technology, tools are used to observe, measure, and make things.

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When trying to build something or to get something to work better, it usually helps to follow directions if there are any or to ask someone who has done it before for suggestions.

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B. Design and Systems

By the end of the 2nd grade, students should know that:

 

People may not be able to actually make or do everything that they can design.

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C. Issues in Technology

By the end of the 2nd grade, students should know that:

 

People, alone or in groups, are always inventing new ways to solve problems and get work done. The tools and ways of doing things that people have invented affect all aspects of life.

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When a group of people wants to build something or try something new, they should try to figure out ahead of time how it might affect other people.

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C. Processes that Shape the Earth

By the end of the 2nd grade, students should know that:

 

Animals and plants sometimes cause changes in their surroundings.

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E. Energy Transformations

By the end of the 2nd grade, students should know that:

 

The sun warms the land, air, and water.

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5. The Living Environment
A. Diversity of Life

By the end of the 2nd grade, students should know that:

 

Some animals and plants are alike in the way they look and in the things they do, and others are very different from one another.

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Plants and animals have features that help them live in different environments.

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Stories sometimes give plants and animals attributes they really do not have.

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B. Heredity

By the end of the 2nd grade, students should know that:

 

There is variation among individuals of one kind within a population.

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Offspring are very much, but not exactly, like their parents and like one another.

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C. Cells

By the end of the 2nd grade, students should know that:

 

Magnifiers help people see things they could not see without them.

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Most living things need water, food, and air.

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D. Interdependence of Life

By the end of the 2nd grade, students should know that:

 

Animals eat plants or other animals for food and may also use plants (or even other animals) for shelter and nesting.

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Living things are found almost everywhere in the world. There are somewhat different kinds in different places.

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E. Flow of Matter and Energy

By the end of the 2nd grade, students should know that:

 

Plants and animals both need to take in water, and animals need to take in food. In addition, plants need light.

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Many materials can be recycled and used again, sometimes in different forms.

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F. Evolution of Life

By the end of the 2nd grade, students should know that:

 

Different plants and animals have external features that help them thrive in different kinds of places.

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Some kinds of organisms that once lived on earth have completely disappeared, although they were something like others that are alive today.

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8. The Designed World
D. Communication

By the end of the 2nd grade, students should know that:

 

Information can be sent and received in many different ways. Some allow answering back and some do not. Each way has advantages and disadvantages.

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Devices can be used to send and receive messages quickly and clearly.

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E. Information Processing

By the end of the 2nd grade, students should know that:

 

There are different ways to store things so they can be easily found later.

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Letters and numbers can be used to put things in a useful order.

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9. The Mathematical World
A. Numbers

By the end of the 2nd grade, students should know that:

 

Numbers can be used to count things, place them in order, or name them.

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Sometimes in sharing or measuring there is a need to use numbers between whole numbers.

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It is possible (and often useful) to estimate quantities without knowing them exactly.

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Simple graphs can help to tell about observations.

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B. Symbolic Relationships

By the end of the 2nd grade, students should know that:

 

Similar patterns may show up in many places in nature and in the things people make.

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Sometimes changing one thing causes changes in something else. In some situations, changing the same thing in the same way usually has the same result.

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C. Shapes

By the end of the 2nd grade, students should know that:

 

Shapes such as circles, squares, and triangles can be used to describe many things that can be seen.

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D. Uncertainty

By the end of the 2nd grade, students should know that:

 

Some things are more likely to happen that others. Some events can be predicted well and some cannot. Sometimes people aren't sure what will happen because they don't know everything that might be having an effect.

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Often a person can find out about a group of things by studying just a few of them.

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E. Reasoning

By the end of the 2nd grade, students should know that:

 

People are more likely to believe your ideas if you can give good reasons for them.

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11. Common Themes
A. Systems

By the end of the 2nd grade, students should know that:

 

Most things are made of parts.

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Something may not work if some of its parts are missing.

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When parts are put together, they can do things that they couldn't do by themselves.

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B. Models

By the end of the 2nd grade, students should know that:

 

Many of the toys children play with are like real things only in some ways. They are not the same size, are missing many details, or are not able to do all of the same things.

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A model of something is different from the real thing but can be used to learn something about the real thing.

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One way to describe something is to say how it is like something else.

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C. Constancy and Change

By the end of the 2nd grade, students should know that:

 

Things change in some ways and stay the same in some ways.

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People can keep track of some things, seeing where they come from and where they go.

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Things can change in different ways, such as in size, weight, color, and movement. Some small changes can be detected by taking measurements.

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Some changes are so slow or so fast that they are hard to see.

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D. Scale

By the end of the 2nd grade, students should know that:

 

Things in nature and things people make have very different sizes, weights, ages, and speeds.

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12. Habits of Mind
A. Values and Attitudes

By the end of the 2nd grade, students should know that:

 

Raise questions about the world around them and be willing to seek answers to some of them by making careful observations and trying things out.

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B. Computation and Estimation

By the end of the 2nd grade, students should know that:

 

Use whole numbers and simple, everyday fractions in ordering, counting, identifying, measuring, and describing things and experiences.

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Readily give the sums and differences of single-digit numbers in familiar contexts where the operation makes sense to them and they can judge the reasonableness of the answer.

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Give rough estimates of numerical answers to problems before doing them formally.

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Explain to other students how they go about solving numerical problems.

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Make quantitative estimates of familiar lengths, weights, and time intervals and check them by measurements.

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C. Manipulation and Observation

By the end of the 2nd grade, students should know that:

 

Use hammers, screwdrivers, clamps, rulers, scissors, and hand lenses, and operate ordinary audio equipment.

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Assemble, describe, take apart and reassemble constructions using interlocking blocks, erector sets, and the like.

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Make something out of paper, cardboard, wood, plastic, metal, or existing objects that can actually be used to perform a task.

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Measure the length in whole units of objects having straight edges.

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D. Communication Skills

By the end of the 2nd grade, students should know that:

 

Describe and compare things in terms of number, shape, texture, size, weight, color, and motion.

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Draw pictures that correctly portray at least some features of the thing being described.

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E. Critical-Response Skills

By the end of the 2nd grade, students should know that:

 

Ask "How do you know?" in appropriate situations and attempt reasonable answers when others ask them the same question.

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Grades 3 through 5

The Nature of Science
A. The Scientific World View

By the end of the 5th grade, students should know that:

 

Results of similar scientific investigations seldom turn out exactly the same. Sometimes this is because of unexpected differences in the things being investigated, sometimes because of unrealized differences in the methods used or in the circumstances in which the investigation is carried out, and sometimes just because of uncertainties in observations. It is not always easy to tell which.

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B. Scientific Inquiry

By the end of the 5th grade, students should know that:

 

Scientific investigations may take many different forms, including observing what things are like or what is happening somewhere, collecting specimens for analysis, and doing experiments. Investigations can focus on physical, biological, and social questions.

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Results of scientific investigations are seldom exactly the same, but if the differences are large, it is important to try to figure out why. One reason for following directions carefully and for keeping records of one's work is to provide information on what might have caused the differences.

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Scientists' explanations about what happens in the world come partly from what they observe, partly from what they think. Sometimes scientists have different explanations for the same set of observations. That usually leads to their making more observations to resolve the differences.

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Scientists do not pay much attention to claims about how something they know about works unless the claims are backed up with evidence that can be confirmed and with a logical argument.

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C. The Scientific Enterprise

By the end of the 5th grade, students should know that:

 

Science is an adventure that people everywhere can take part in, as they have for many centuries.

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Clear communication is an essential part of doing science. It enables scientists to inform others about their work, expose their ideas to criticism by other scientists, and stay informed about scientific discoveries around the world.

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Doing science involves many different kinds of work and engages men and women of all ages and backgrounds.

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The Nature of Mathematics
A. Patterns and Relationships

By the end of the 5th grade, students should know that:

 

Mathematics is the study of many kinds of patterns, including numbers and shapes and operations on them. Sometimes patterns are studied because they help to explain how the world works or how to solve pratical problems, sometimes because they are interesting in themselves.

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Mathematical ideas can be represented concretely, graphically, and symbolically.

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B. Mathematics, Science, and Technology

By the end of the 5th grade, students should know that:

 

No benchmarks for this level.

 


C. Mathematical Inquiry

By the end of the 5th grade, students should know that:

 

Numbers and shapes-and operations on them-help to describe and predict things about the world around us.

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In using mathematics, choices have to be made about what operations will give the best results. Results should always be judged by whether they make sense and are useful.

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The Nature of Technology
A. Technology and Science

By the end of the 5th grade, students should know that:

 

Throughout all of history, people everywhere have invented and used tools. Most tools of today are different from those of the past but many are modifications of very ancient tools.

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Technology enables scientists and others to observe things that are too small or too far away to be seen without them and to study the motion of objects that are moving very rapidly or are hardly moving at all

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Measuring instruments can be used to gather accurate information for making scientific comparisons of objects and events and for designing and constructing things that will work properly.

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Technology extends the ability of people to change the world: to cut, shape, or put together materials; to move things from one place to another; and to reach farther with their hands, voices, senses, and minds. The changes may be for survival needs such as food, shelter, and defense, for communication and transportation, or to gain knowledge and express ideas.

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B. Design and Systems

By the end of the 5th grade, students should know that:

 

There is no perfect design. Designs that are best in one respect (safety or ease of use, for example) may be inferior in other ways (cost or appearance). Usually some features must be sacrificed to get others. How such trade-offs are received depends upon which features are emphasized and which are down-played.

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Even a good design may fail. Sometimes steps can be taken ahead of time to reduce the likelihood of failure, but it cannot be entirely eliminated.

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The solution to one problem may create other problems.

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C. Issues in Technology

By the end of the 5th grade, students should know that:

 

Technology has been part of life on the earth since the advent of the human species. Like language, ritual, commerce, and the arts, technology is an intrinsic part of human culture, and it both shapes society and is shaped by it. The technology available to people greatly influences what their lives are like.

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Any invention is likely to lead to other inventions. Once an invention exists, people are likely to think up ways of using it that were never imagined at first.

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Transportation, communications, nutrition, sanitation, health care, entertainment, and other technologies give large numbers of people today the goods and services that once were luxuries enjoyed only by the wealthy. These benefits are not equally available to everyone.

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Scientific laws, engineering principles, properties of materials, and construction techniques must be taken into account in designing engineering solutions to problems. Other factors, such as cost, safety, appearance, environmental impact, and what will happen if the solution fails also must be considered.

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Technologies often have drawbacks as well as benefits. A technology that helps some people or organisms may hurt others—either deliberately (as weapons can) or inadvertently (as pesticides can). When harm occurs or seems likely, choices have to be made or new solutions found.

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Because of their ability to invent tools and processes, people have an enormous effect on the lives of other living things.

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5. The Living Environment
A. Diversity of Life

By the end of the 5th grade, students should know that:

 

A great variety of kinds of living things can be sorted into groups in many ways using various features to decide which things belong to which group.

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Features used for grouping depend on the purpose of the grouping.

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D. Interdependence of Life

By the end of the 5th grade, students should know that:

 

For any particular environment, some kinds of plants and animals survive well, some survive less well, and some cannot survive at all.

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Insects and various other organisms depend on dead plant and animal material for food.

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Organisms interact with one another in various ways besides providing food. Many plants depend on animals for carrying their pollen to other plants or for dispersing their seeds.

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Changes in an organism's habitat are sometimes beneficial to it and sometimes harmful.

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Most microorganisms do not cause disease, and many are beneficial.

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E. Flow of Matter and Energy

By the end of the 5th grade, students should know that:

 

Almost all kinds of animals' food can be traced back to plants.

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Some source of "energy" is needed for all organisms to stay alive and grow.

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Over the whole earth, organisms are growing, dying, and decaying, and new organisms are being produced by the old ones.

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F. Evolution of Life

By the end of the 5th grade, students should know that:

 

Individuals of the same kind differ in their characteristics, and sometimes the differences give individuals an advantage in surviving and reproducing.

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Fossils can be compared to one another and to living organisms according to their similarities and differences. Some organisms that lived long ago are similar to existing organisms, but some are quite different.

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8. The Designed World
D. Communication

By the end of the 5th grade, students should know that:

 

People have always tried to communicate with one another. Signed and spoken language was one of the first inventions. Early forms of recording messages used markings on materials such as wood or stone.

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Communication involves coding and decoding information. In any language, both the sender and the receiver have to know the same code, which means that secret codes can be used to keep communication private.

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People have invented devices, such as paper and ink, engraved plastic disks, and magnetic tapes, for recording information. These devices enable great amounts of information to be stored and retrieved—and be sent to one or many other people or places.

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Communication technologies make it possible to send and receive information more and more reliably, quickly, and cheaply over long distances.

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E. Information Processing

By the end of the 5th grade, students should know that:

 

Computers are controlled partly by how they are wired and partly by special instructions called programs that are entered into a computer's memory. Some programs stay permanently in the machine but most are coded on disks and transferred into and out of the computer to suit the user.

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Computers can be programmed to store, retrieve, and perform operations on information. These operations include mathematical calculations, word processing, diagram drawing, and the modeling of complex events.

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Mistakes can occur when people enter programs or data into a computer. Computers themselves can make errors in information processing because of defects in their hardware or software.

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F. Health Technology

By the end of the 5th grade, students should know that:

 

There are normal ranges for body measurements—including temperature, heart rate, and what is in the blood and urine—that help to tell when people are well. Tools, such as thermometers and x-ray machines, provide us clues about what is happening inside the body.

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Technology has made it possible to repair and sometimes replace some body parts.

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9. The Mathematical World
A. Numbers

By the end of the 5th grade, students should know that:

 

The meaning of numerals in many-digit numbers depends on their positions.

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In some situations, "0" means none of something, but in others it may be just the label of some point on a scale.

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When people care about what is being counted or measured, it is important for them to say what the units are (three degrees Fahrenheit is different from three centimeters, three miles from three miles per hour).

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Measurements are always likely to give slightly different numbers, even if what is being measured stays the same.

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B. Symbolic Relationships

By the end of the 5th grade, students should know that:

 

Mathematical statements using symbols may be true only when the symbols are replaced by certain numbers.

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Tables and graphs can show how values of one quantity are related to values of another.

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C. Shapes

By the end of the 5th grade, students should know that:

 

Length can be thought of as unit lengths joined together, area as a collection of unit squares, and volume as a set of unit cubes.

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If 0 and 1 are located on a line, any other number can be depicted as a position on the line.

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Graphical display of numbers may make it possible to spot patterns that are not otherwise obvious, such as comparative size and trends.

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Many objects can be described in terms of simple plane figures and solids. Shapes can be compared in terms of concepts such as parallel and perpendicular, congruence and similarity, and symmetry. Symmetry can be found by reflection, turns, or slides.

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Areas of irregular shapes can be found by dividing them into squares and triangles.

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Scale drawings show shapes and compare locations of things very different in size.

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D. Uncertainty

By the end of the 5th grade, students should know that:

 

Some predictions can be based on what is known about the past, assuming that conditions are pretty much the same now.

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Statistical predictions (as for rainy days, accidents) are typically better for how many of a group will experience something than for which members of the group will experience it—and better for how often something will happen than for exactly when.

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Summary predictions are usually more accurate for large collections of events than for just a few. Even very unlikely events may occur fairly often in very large populations.

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Spreading data out on a number line helps to see what the extremes are, where they pile up, and where the gaps are. A summary of data includes where the middle is and how much spread is around it.

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A small part of something may be special in some way and not give an accurate picture of the whole. How much a portion of something can help to estimate what the whole is like depends on how the portion is chosen. There is a danger of choosing only the data that show what is expected by the person doing the choosing.

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Events can be described in terms of being more or less likely, impossible, or certain.

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E. Reasoning

By the end of the 5th grade, students should know that:

 

One way to make sense of something is to think how it is like something more familiar.

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Reasoning can be distorted by strong feelings.

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11. Common Themes
A. Systems

By the end of the 5th grade, students should know that:

 

In something that consists of many parts, the parts usually influence one another.

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Something may not work as well (or at all) if a part of it is missing, broken, worn out, mismatched, or misconnected.

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B. Models

By the end of the 5th grade, students should know that:

 

Seeing how a model works after changes are made to it may suggest how the real thing would work if the same were done to it.

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Geometric figures, number sequences, graphs, diagrams, sketches, number lines, maps, and stories can be used to represent objects, events, and processes in the real world, although such representations can never be exact in every detail.

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C. Constancy and Change

By the end of the 5th grade, students should know that:

 

Some features of things may stay the same even when other features change. Some patterns look the same when they are shifted over, or turned, or reflected, or seen from different directions.

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Things change in steady, repetitive, or irregular ways-or sometimes in more than one way at the same time. Often the best way to tell which kinds of change are happening is to make a table or graph of measurements.

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D. Scale

By the end of the 5th grade, students should know that:

 

Almost anything has limits on how big or small it can be.

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Finding out what the biggest and the smallest possible values of something are is often as revealing as knowing what the usual value is.

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12. Habits of Mind
A. Values and Attitudes

By the end of the 5th grade, students should know that:

 

Keep records of their investigations and observations and not change the records later.

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Offer reasons for their findings and consider reasons suggested by others.

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B. Computation and Estimation

By the end of the 5th grade, students should know that:

 

Add, subtract, multiply, and divide whole numbers mentally, on paper, and with a calculator.

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Use fractions and decimals, translating when necessary between decimals and commonly encountered fractions—halves, thirds, fourths, fifths, tenths, and hundredths (but not sixths, sevenths, etc.).

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Judge whether measurements and computations of quantities such as length, area, volume, weight, or time are reasonable in a familiar context by comparing them to typical values.

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State the purpose of each step in a calculation.

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Read and follow step-by-step instructions in a calculator or computer manual when learning new procedures.

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C. Manipulation and Observation

By the end of the 5th grade, students should know that:

 

Choose appropriate common materials for making simple mechanical constructions and repairing things.

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Measure and mix dry and liquid materials (in the kitchen, garage, or laboratory) in prescribed amounts, exercising reasonable safety.

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Keep a notebook that describes observations made, carefully distinguishes actual observations from ideas and speculations about what was observed, and is understandable weeks or months later.

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Use calculators to determine area and volume from linear dimensions, aggregate amounts of area, volume, weight, time, and cost, and find the difference between two quantities of anything.

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Make safe electrical connections with various plugs, sockets, and terminals.

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D. Communication Skills

By the end of the 5th grade, students should know that:

 

Write instructions that others can follow in carrying out a procedure.

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Make sketches to aid in explaining procedures or ideas.

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Use numerical data in describing and comparing objects and events.

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E. Critical-Response Skills

By the end of the 5th grade, students should know that:

 

Buttress their statements with facts found in books, articles, and databases, and identify the sources used and expect others to do the same.

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Recognize when comparisons might not be fair because some conditions are not kept the same.

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Seek better reasons for believing something than "Everybody knows that . . ." or "I just know" and discount such reasons when given by others.

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Grades 6 through 8

The Nature of Science
A. The Scientific World View

By the end of the 8th grade, students should know that:

 

When similar investigations give different results, the scientific challenge is to judge whether the differences are trivial or significant, and it often takes further studies to decide. Even with similar results, scientists may wait until an investigation has been repeated many times before accepting the results as correct.

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Scientific knowledge is subject to modification as new information challenges prevailing theories and as a new theory leads to looking at old observations in a new way.

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Some scientific knowledge is very old and yet is still applicable today.

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Some matters cannot be examined usefully in a scientific way. Among them are matters that by their nature cannot be tested objectively and those that are essentially matters of morality. Science can sometimes be used to inform ethical decisions by identifying the likely consequences of particular actions but cannot be used to establish that some action is either moral or immoral.

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B. Scientific Inquiry

By the end of the 8th grade, students should know that:

 

Scientists differ greatly in what phenomena they study and how they go about their work. Although there is no fixed set of steps that all scientists follow, scientific investigations usually involve the collection of relevant evidence, the use of logical reasoning, and the application of imagination in devising hypotheses and explanations to make sense of the collected evidence.

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If more than one variable changes at the same time in an experiment, the outcome of the experiment may not be clearly attributable to any one of the variables. It may not always be possible to prevent outside variables from influencing the outcome of an investigation (or even to identify all of the variables), but collaboration among investigators can often lead to research designs that are able to deal with such situations.

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What people expect to observe often affects what they actually do observe. Strong beliefs about what should happen in particular circumstances can prevent them from detecting other results. Scientists know about this danger to objectivity and take steps to try and avoid it when designing investigations and examining data. One safeguard is to have different investigators conduct independent studies of the same questions.

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New ideas in science sometimes spring from unexpected findings, and they usually lead to new investigations.

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C. The Scientific Enterprise

By the end of the 8th grade, students should know that:

 

Important contributions to the advancement of science, mathematics, and technology have been made by different kinds of people, in different cultures, at different times.

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Until recently, women and racial minorities, because of restrictions on their education and employment opportunities, were essentially left out of much of the formal work of the science establishment; the remarkable few who overcame those obstacles were even then likely to have their work disregarded by the science establishment.

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No matter who does science and mathematics or invents things, or when or where they do it, the knowledge and technology that result can eventually become available to everyone in the world.

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Scientists are employed by colleges and universities, business and industry, hospitals, and many government agencies. Their places of work include offices, classrooms, laboratories, farms, factories, and natural field settings ranging from space to the ocean floor.

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In research involving human subjects, the ethics of science require that potential subjects be fully informed about the risks and benefits associated with the research and of their right to refuse to participate. Science ethics also demand that scientists must not knowingly subject coworkers, students, the neighborhood, or the community to health or property risks without their prior knowledge and consent. Because animals cannot make informed choices, special care must be taken in using them in scientific research.

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Computers have become invaluable in science because they speed up and extend people's ability to collect, store, compile, and analyze data, prepare research reports, and share data and ideas with investigators all over the world.

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Accurate record-keeping, openness, and replication are essential for maintaining an investigator's credibility with other scientists and society.

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The Nature of Mathematics
A. Patterns and Relationships

By the end of the 8th grade, students should know that:

 

Usually there is no one right way to solve a mathematical problem; different methods have different advantages and disadvantages.

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Logical connections can be found between different parts of mathematics.

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B. Mathematics, Science, and Technology

By the end of the 8th grade, students should know that:

 

Mathematics is helpful in almost every kind of human endeavor-from laying bricks to prescribing medicine or drawing a face. In particular, mathematics has contributed to progress in science and technology for thousands of years and still continues to do so.

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C. Mathematical Inquiry

By the end of the 8th grade, students should know that:

 

Mathematicians often represent things with abstract ideas, such as numbers or perfectly straight lines, and then work with those ideas alone. The "things" from which they abstract can be ideas themselves (for example, a proposition about "all equal-sided triangles" or "all odd numbers").

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When mathematicians use logical rules to work with representations of things, the results may or may not be valid for the things themselves. Using mathematics to solve a problem requires choosing what mathematics to use; probably making some simplifying assumptions, estimates, or approximations; doing computations; and then checking to see whether the answer makes sense. If an answer does not seem to make enough sense for its intended purpose, then any of these steps might have been inappropriate.

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The Nature of Technology
A. Technology and Science

By the end of the 8th grade, students should know that:

 

In earlier times, the accumulated information and techniques of each generation of workers were taught on the job directly to the next generation of workers. Today, the knowledge base for technology can be found as well in libraries of print and electronic resources and is often taught in the classroom.

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Technology is essential to science for such purposes as access to outer space and other remote locations, sample collection and treatment, measurement, data collection and storage, computation, and communication of information.

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Engineers, architects, and others who engage in design and technology use scientific knowledge to solve practical problems. But they usually have to take human values and limitations into account as well.

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B. Design and Systems

By the end of the 8th grade, students should know that:

 

Design usually requires taking constraints into account. Some constraints, such as gravity or the properties of the materials to be used, are unavoidable. Other constraints, including economic, political, social, ethical, and aesthetic ones, limit choices.

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All technologies have effects other than those intended by the design, some of which may have been predictable and some not. In either case, these side effects may turn out to be unacceptable to some of the population and therefore lead to conflict between groups.

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Almost all control systems have inputs, outputs, and feedback. The essence of control is comparing information about what is happening to what people want to happen and then making appropriate adjustments. This procedure requires sensing information, processing it, and making changes. In almost all modern machines, microprocessors serve as centers of performance control.

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Systems fail because they have faulty or poorly matched parts, are used in ways that exceed what was intended by the design, or were poorly designed to begin with. The most common ways to prevent failure are pretesting parts and procedures, overdesign, and redundancy.

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C. Issues in Technology

By the end of the 8th grade, students should know that:

 

The human ability to shape the future comes from a capacity for generating knowledge and developing new technologies—and for communicating ideas to others.

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Technology cannot always provide successful solutions for problems or fulfill every human need.

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Throughout history, people have carried out impressive technological feats, some of which would be hard to duplicate today even with modern tools. The purposes served by these achievements have sometimes been practical, sometimes ceremonial.

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Technology has strongly influenced the course of history and continues to do so. It is largely responsible for the great revolutions in agriculture, manufacturing, sanitation and medicine, warfare, transportation, information processing, and communications that have radically changed how people live.

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New technologies increase some risks and decrease others. Some of the same technologies that have improved the length and quality of life for many people have also brought new risks.

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Rarely are technology issues simple and one-sided. Relevant facts alone, even when known and available, usually do not settle matters entirely in favor of one side or another. That is because the contending groups may have different values and priorities. They may stand to gain or lose in different degrees, or may make very different predictions about what the future consequences of the proposed action will be.

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Societies influence what aspects of technology are developed and how these are used. People control technology (as well as science) and are responsible for its effects.

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E. Energy Transformations

By the end of the 8th grade, students should know that:

 

Energy cannot be created or destroyed, but only changed from one form into another.