Maine's Curriculum Framework for Mathematics & Science 
 

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GUIDING PRINCIPLE #7:

Students Attain and Apply Essential Knowledge
and Skills of Mathematics and Science (cont)



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PART 2: SCIENCE

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Content Standard

A. Students understand that there are similarities within the diversity of all living things.

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Human beings exist in a world filled with living organisms ranging from marine algae to pine trees and from puffins to humpbacked whales. While all living things have many common needs and functions, they act upon those needs and functions in dramatically different ways. Such diversity in form and function is partly a result of the diverse surroundings in which these organisms live. Scientists believe that over time, living things affect other living things (e.g., predator-prey interactions) and the environment.

Scientists group living things by characteristics. This system of classification has changed over time and continues to change today in response to new information.

Performance Indicators

Primary

Intermediate

Middle

Secondary

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Snapshots

Students in a fourth-grade class work in groups during a field trip to the rocky intertidal zone on the coast. Their task is to inventory the living things and physical features in and around a tide pool. Earlier, in the classroom, their teacher has introduced them to several of the species of plants and animals they are likely to find.

Working in the field, students take turns acting as recorders and investigators. In their lab notebooks, groups record water temperature, air temperature, distance from their tide pool to the shoreline, current weather conditions and the names of the life forms they observe (after confirming the names in a field guide to marine life). Students record names and descriptions of organisms and make drawings for later classroom analysis.

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Using gel electrophoresis set-ups on loan from a local college, high school students are attempting to separate a sample of DNA in order to determine what type of animal it is from. A visiting graduate student demonstrates how to use the equipment and remains for the lab in order to serve as a resource. As she circulates among the groups of students, she asks them questions, not only about the lab activity, but about their career plans.

The students run the gel and compare results with known DNA samples from organisms belonging to five different species. Each student identifies the unknown and justifies the decision in writing before the group meets to compare results. Group members discuss varying results and reach a consensus.

During the subsequent class discussion, the teacher asks questions about results, techniques and relevant scientific concepts. Students speculate about how conclusive their technique would be for animals of the same species, same genus, same family etc. All answers are initially considered as possibilities, and a lively debate follows about why the same sample could yield different results. At the end of the discussion, the teacher reveals the identity of the sample.


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Content Standard

B. Students understand how living things depend on one another and non-living aspects of the environment.

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All species exist as part of complex and changing systems consisting of the organisms themselves as well as their physical environments. The interactions and relationships in a system are influenced by both biotic and abiotic interactions. Ecosystems can be described by mapping the flow of energy and matter among organisms and between organisms and their environment.

Performance Indicators

Primary

Intermediate

Middle

Secondary

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Snapshot

After reading a newspaper article, students in an eighth-grade class become interested in finding out why the population of songbirds seems to be declining in Maine. One group of students researches the issue using data obtained from researchers via the Internet. Other class members prepare graphs to show trends in the data for a number of species over several years. Another group does a field study of the numbers and types of songbirds sighted at a local bird sanctuary, describing and identifying the bird species observed, as well as recording the eating habits of the birds. Still other students meet with an ornithologist to discuss potential causes of the decline, while another group meets a university researcher to discuss possible effects of a continuing decline in the population.

Back in class, students reconvene into new groups comprised of one representative from each of the earlier groups. The new groups prepare final presentations for third-grade classes studying ecosystems.


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Content Standard

C. Students understand that cells are the basic units of life that can reproduce themselves.

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Cells may differ, but they all have common structures that provide protection, help to convert and use energy, and allow the cell to function and reproduce. In complex organisms specialized cells have developed. These cells build the various components, such as tissues, organs and blood, which create the systems to carry out specific functions within the organism.

Performance Indicators

Primary

Intermediate


Middle


Secondary

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Snapshot

Fifth-grade students use compound microscopes to investigate single-celled organisms in the town's pond water. Students work in small groups, with some students drawing pictures of what they have observed, while other students peer into eyepieces, observing. Using identification keys, students attempt to identify and classify the organisms they observe. Groups have been challenged to find as many different types of organisms as possible and to draw them accurately. The teacher has set up a TV monitor and video microscope with a drop of the water, so important characteristics of the microorganisms can be pointed out and misconceptions addressed.

Later the teacher will lead a discussion on the relationship between students' observations and the pond water's unsuitability for drinking. The town's water treatment plant technician will demonstrate some of the chemical and biological tests performed on town drinking water to determine its potability and will show the class how the water is treated.

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Groups of high school science students are researching the effectiveness of various household antiseptic solutions. After culturing bacteria on sterile agar in petri dishes, they put a filter paper disc soaked with antiseptic solution on the surface of the agar and then place the dishes in an incubator. Each day, the group counts the number of colonies that are present, until the bacteria covers the surface of the agar, except for a small ring around the paper disc.

The teacher leads a discussion about what the students could do now to compare the antiseptics. Most groups decide to determine how much area around the filter paper is clear, but some take other approaches. At the end of the experiment, students compare results and submit a short research paper describing the findings and the reliability of the data. Students then use their findings in collaborating to develop an advertisement for their antiseptic.


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Content Standard

D. Students understand the basis for life and that all living things change over time.

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Just as the physical characteristics of the Earth undergo change, its life forms change as well. These changes may arise through random mutations in nature or be deliberately produced by selective breeding. Regardless of how these traits arise, organisms with attributes that enable them to survive in a given environment are more likely to pass those traits to more offspring than organisms that are not as well adapted. Because of these individual variations within a species, some organisms will be better equipped to survive change in their environment. This may lead to change within a population, and over time, these variations may result in individuals so different from their ancestors that they are considered a new species.

Performance Indicators

Primary

Intermediate

Middle

Secondary

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Snapshots

After discussing and observing fossils in the classroom, a group of third-graders has gone to a nearby stream to observe fossils in their natural surroundings. When a fossil is found, students examine it and create a description and sketch in their lab notebooks. After pooling results to determine how many of each fossil type have been located, students find out about the original organisms. They then make their own fossils using an object of their choice coated in Vaseline, Plaster of Paris "mud," and paper cups. The teacher then leads a discussion about how fossilization occurs and why certain things become fossils while other things do not.

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Students in a high school science class are investigating reproduction and genetics by crossbreeding Brassica rapa plants (a member of the cabbage family with easily observable characteristics). Parent plants include a pure strain of plants with a variegated leaf and pure plants with plain leaves. Recent probability studies in math class have given students practice in predicting the frequency of certain events.

Following a discussion of dominant and recessive genes, students must predict the ratios of plain and variegated offspring using Punnett squares. After the plants have grown, class members collect their data and enter it into a class database, which is analyzed using techniques learned in math class. After determining the accuracy of their predictions, students will be asked to cross-pollinate plants from the first generation and again predict the ratios of plain and variegated plants in the resulting offspring.


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Content Standard

E. Students understand the structure of matter and the changes it can undergo.

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All of the amazing diversity in the properties of matter results from a comparatively small number of basic substances combined in different ways. These basic substances (elements) are made of particles called atoms. These atoms, in turn, are made of smaller particles: protons, electrons and neutrons. These smaller particles are now thought to consist of even smaller parts called leptons and quarks.

Chemical and physical changes can occur in matter. The state that matter assumes (solid, liquid, gas, plasma) depends on several factors, including temperature and pressure. The state and properties of matter can change when it experiences chemical, physical or nuclear forces.

The behavior of matter at the atomic and sub-atomic level is explained by quantum mechanics.

Performance Indicators

Primary

Intermediate

Middle

Secondary

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Snapshots

In zipper plastic bags, fifth-grade students have added a spoonful of calcium chloride to one corner, a spoonful of baking soda to the other corner and a small container of a diluted phenol red solution. When these substances are mixed, the plastic bags hold a fizzing yellow liquid.

Students scribble quickly in notebooks, noting temperature changes, the production of gas, a color change and a cloudy substance forming. They test the gas and the precipitate to determine their properties, using techniques they have previously practiced (for example, does the gas support combustion or does it extinguish a flame?).

The teacher assists the class in identifying the products of the reaction and developing a chemical equation. Each student prepares a lab report that contains a detailed procedure (to provide for replication of the experiment) and a conclusion discussing results and their practical application.

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In a high school mock trial, chemistry students act as expert witnesses to identify a mysterious white powder found at the scene. Before breaking into groups of six, the class discusses different methods for identifying substances and the benefits and drawbacks of each. In groups, each pair of students performs a different test on the powder (melting point, solubility, pH, conductivity, density etc.) in an attempt to identify it. Each student writes a brief summary of the results of the testing. The group of six then collaborates to discuss the results of each test and to name the unknown powder.

Finally, the group prepares a jury presentation clearly explaining their methods and results by use of charts, graphs and pictures. The group also brainstorms questions that are likely to arise during a hostile cross-examination and practices answers for questions that will challenge their findings.


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Content Standard

F. Students gain knowledge about the Earth and the processes that change it.

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The Earth as it appears today is the product of billions of years of changes which may occur slowly and continuously or suddenly. The Earth's surface is changed by surface forces from wind, water and ice as well as subsurface forces like volcanism and subduction. These changes in Earth's surface can occur over the long term (plate tectonics, rock cycle, climate changes, wind erosion) or short term (volcanoes, earthquakes, floods).

Performance Indicators

Primary

Intermediate

Middle

Secondary

Intermediate

Middle

Secondary

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Snapshots

Using construction paper and a dowel, first-graders make a small flag with their name printed on it. The students plant their flags in the playground. Then for three days the teacher takes them out at recess, at lunch and at the end of each day to observe where the flags' shadows are and to place markers recording the positions of each shadow. Finally, the group gathers in a discussion circle where the teacher asks each student to explain an idea about why the shadows changed.

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Middle school students are making scale drawings of the solar system. Each pair of students is given three meters of cash register tape. Working with a chart showing distances in space, students use calculators to determine a reasonable scale, then convert actual distances between the sun and planets to scale distances. They then measure and draw locations for the sun and planets on the paper rolls. When the projects are finished, teams will hang their rolls along a hallway wall and explain their choice of scale. A class discussion explores why they are unable to use the same scale for planet size and planet distances.


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Content Standard

H. Students understand the concepts of energy.

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Energy has many forms which can exert forces and do work. In doing work, energy may be transformed from one form to another or transferred from one object to another. When energy is transformed or transferred, the total amount of energy in the system does not change, since energy cannot be created or destroyed. The conversion of energy from one form to another often involves the generation of heat. Sometimes this heat is a desired result of the energy conversion, and sometimes it presents problems.

Performance Indicators

Primary

Intermediate

Middle

Secondary

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Snapshots

Third-grade students are busy finishing musical instruments for a parade celebrating their unit on sound energy. Some students use rubber bands stretched over shoe boxes, some use straws with ends cut in a V shape (two students add a larger straw as a slider) and other students assemble pan pipes made from PVC pipes cut into different lengths. Other instruments include a variety of drums, a selection of kazoos, and some devices using aluminum conduit suspended from strings.

Prior to the parade, students report to the class, telling the name of their instrument, explaining how the instrument makes its sounds using some of the terms they learned and demonstrating how it is played.

The teacher evaluates the report to the class as an assessment of the students' learning, using a scoring rubric that the class developed together.

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High school students are studying energy conversions, with particular emphasis on how chemical bond energy can be converted into heat energy. Their task is to work in pairs to construct a calorimeter that will be used to calculate the energy in a peanut. Using simple materials, they design and build the calorimeters to be safe and easy to operate, with special attention to minimizing heat loss.

Once the calorimeters have been constructed and evaluated using a rubric distributed to the students in advance, the students fill them with a measured amount of water at a known temperature and light the peanut. After the peanut has burned, they measure the new water temperature and calculate the heat given off by the peanut, in calories. Students use a "diet book" listing the Calories (kilocalories) present in a peanut, compare their results, and calculate their percent error. Each student then writes a summary of the activity including an explanation of the results and a justification for the design and materials choices for the calorimeter.


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Content Standard

I. Students understand the motion of objects and how forces change that motion.

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All objects are in motion, if not in an observable way, then on an atomic/subatomic level. The motion of an object depends on the forces acting on it. By understanding the kinds of forces and their magnitudes, the effects of the forces on motion can be predicted and understood.

Performance Indicators

Primary

Intermediate

Middle

Secondary

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Snapshot

Sixth-grade students have just concluded a unit about motion. They learned how to describe many aspects of motion (speed, distance, time) mathematically as well as qualitatively.

Now, with the help of the technology teacher and their science teacher, they are designing cars that will travel down an inclined track made from lengths of plastic rain gutter. The cars must carry a rectangular eraser across the finish line. The materials the students have available are paper, white glue, and two lengths of coat hanger for axles. The students' goal is to have their cars achieve maximum speed down the track.


The technology teacher presents design factors that students should consider, including mass, friction, air resistance and size, and show examples of ways in which these factors are considered when engineers design cars for the automobile companies.
Following several practice runs during which students test their designs and make small alterations, teams of students calculate their cars' speeds down the four-meter track. They use photogates to determine the cars' final speeds.



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