Science (CA NGSS) Standards
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Showing 1 - 7 of 7 Standards
Standard Identifier: MS-PS1-5
Grade Range:
6–8
Disciplinary Core Idea:
PS1.B: Chemical Reactions
Cross Cutting Concept:
CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Physical Science
Title: MS-PS1 Matter and Its Interactions
Performance Expectation: Develop and use a model to describe how the total number of atoms does not change in a chemical reaction and thus mass is conserved. [Clarification Statement: Emphasis is on law of conservation of matter and on physical models or drawings, including digital forms, that represent atoms.] [Assessment Boundary: Assessment does not include the use of atomic masses, balancing symbolic equations, or intermolecular forces.]
Disciplinary Core Idea(s):
PS1.B: Chemical Reactions Substances react chemically in characteristic ways. In a chemical process, the atoms that make up the original substances are regrouped into different molecules, and these new substances have different properties from those of the reactants. The total number of each type of atom is conserved, and thus the mass does not change.
Science & Engineering Practices: Developing and Using Models Develop a model to describe unobservable mechanisms. Connections to Nature of Science: Science Models, Laws, Mechanisms, and Theories Explain Natural Phenomena Laws are regularities or mathematical descriptions of natural phenomena.
Crosscutting Concepts: Energy and Matter Matter is conserved because atoms are conserved in physical and chemical processes.
California Environmental Principles and Concepts:
Principle II The long-term functioning and health of terrestrial, freshwater, coastal, and marine ecosystems are influenced by their relationships with human societies.
California Common Core State Standards Connections:
ELA/Literacy RST.6-8.7: Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., in a flowchart, diagram, model, graph, or table). Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems.
DCI Connections:
Connections to other DCIs in this grade-band: MS.LS1.C; MS.LS2.B; MS.ESS2.A Articulation across grade-bands: 5.PS1.B; HS.PS1.B
Performance Expectation: Develop and use a model to describe how the total number of atoms does not change in a chemical reaction and thus mass is conserved. [Clarification Statement: Emphasis is on law of conservation of matter and on physical models or drawings, including digital forms, that represent atoms.] [Assessment Boundary: Assessment does not include the use of atomic masses, balancing symbolic equations, or intermolecular forces.]
Disciplinary Core Idea(s):
PS1.B: Chemical Reactions Substances react chemically in characteristic ways. In a chemical process, the atoms that make up the original substances are regrouped into different molecules, and these new substances have different properties from those of the reactants. The total number of each type of atom is conserved, and thus the mass does not change.
Science & Engineering Practices: Developing and Using Models Develop a model to describe unobservable mechanisms. Connections to Nature of Science: Science Models, Laws, Mechanisms, and Theories Explain Natural Phenomena Laws are regularities or mathematical descriptions of natural phenomena.
Crosscutting Concepts: Energy and Matter Matter is conserved because atoms are conserved in physical and chemical processes.
California Environmental Principles and Concepts:
Principle II The long-term functioning and health of terrestrial, freshwater, coastal, and marine ecosystems are influenced by their relationships with human societies.
California Common Core State Standards Connections:
ELA/Literacy RST.6-8.7: Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., in a flowchart, diagram, model, graph, or table). Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems.
DCI Connections:
Connections to other DCIs in this grade-band: MS.LS1.C; MS.LS2.B; MS.ESS2.A Articulation across grade-bands: 5.PS1.B; HS.PS1.B
Standard Identifier: MS-PS1-6
Grade Range:
6–8
Disciplinary Core Idea:
PS1.B: Chemical Reactions, ETS1.B: Developing Possible Solutions, ETS1.C: Optimizing the Design Solution
Cross Cutting Concept:
CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice:
SEP-6: Constructing Explanations and Designing Solutions
Content Area:
Physical Science
Title: MS-PS1 Matter and Its Interactions
Performance Expectation: Undertake a design project to construct, test, and modify a device that either releases or absorbs thermal energy by chemical processes.* [Clarification Statement: Emphasis is on the design, controlling the transfer of energy to the environment, and modification of a device using factors such as type and concentration of a substance. Examples of designs could involve chemical reactions such as dissolving ammonium chloride or calcium chloride.] [Assessment Boundary: Assessment is limited to the criteria of amount, time, and temperature of substance in testing the device.]
Disciplinary Core Idea(s):
PS1.B: Chemical Reactions Some chemical reactions release energy, others store energy. ETS1.B: Developing Possible Solutions A solution needs to be tested, and then modified on the basis of the test results, in order to improve it. (secondary to MS-PS1-6) ETS1.C: Optimizing the Design Solution Although one design may not perform the best across all tests, identifying the characteristics of the design that performed the best in each test can provide useful information for the redesign process - that is, some of the characteristics may be incorporated into the new design. (secondary to MS-PS1-6) The iterative process of testing the most promising solutions and modifying what is proposed on the basis of the test results leads to greater refinement and ultimately to an optimal solution. (secondary to MS-PS1-6)
Science & Engineering Practices: Constructing Explanations and Designing Solutions Undertake a design project, engaging in the design cycle, to construct and/or implement a solution that meets specific design criteria and constraints.
Crosscutting Concepts: Energy and Matter The transfer of energy can be tracked as energy flows through a designed or natural system.
California Environmental Principles and Concepts:
Principle II The long-term functioning and health of terrestrial, freshwater, coastal, and marine ecosystems are influenced by their relationships with human societies.
California Common Core State Standards Connections:
ELA/Literacy RST.6-8.3: Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks. WHST.6-8.7: Conduct short research projects to answer a question (including a self-generated question), drawing on several sources and generating additional related, focused questions that allow for multiple avenues of exploration.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS3.D Articulation across grade-bands: HS.PS1.A; HS.PS1.B; HS.PS3.A; HS.PS3.B; HS.PS3.D
Performance Expectation: Undertake a design project to construct, test, and modify a device that either releases or absorbs thermal energy by chemical processes.* [Clarification Statement: Emphasis is on the design, controlling the transfer of energy to the environment, and modification of a device using factors such as type and concentration of a substance. Examples of designs could involve chemical reactions such as dissolving ammonium chloride or calcium chloride.] [Assessment Boundary: Assessment is limited to the criteria of amount, time, and temperature of substance in testing the device.]
Disciplinary Core Idea(s):
PS1.B: Chemical Reactions Some chemical reactions release energy, others store energy. ETS1.B: Developing Possible Solutions A solution needs to be tested, and then modified on the basis of the test results, in order to improve it. (secondary to MS-PS1-6) ETS1.C: Optimizing the Design Solution Although one design may not perform the best across all tests, identifying the characteristics of the design that performed the best in each test can provide useful information for the redesign process - that is, some of the characteristics may be incorporated into the new design. (secondary to MS-PS1-6) The iterative process of testing the most promising solutions and modifying what is proposed on the basis of the test results leads to greater refinement and ultimately to an optimal solution. (secondary to MS-PS1-6)
Science & Engineering Practices: Constructing Explanations and Designing Solutions Undertake a design project, engaging in the design cycle, to construct and/or implement a solution that meets specific design criteria and constraints.
Crosscutting Concepts: Energy and Matter The transfer of energy can be tracked as energy flows through a designed or natural system.
California Environmental Principles and Concepts:
Principle II The long-term functioning and health of terrestrial, freshwater, coastal, and marine ecosystems are influenced by their relationships with human societies.
California Common Core State Standards Connections:
ELA/Literacy RST.6-8.3: Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks. WHST.6-8.7: Conduct short research projects to answer a question (including a self-generated question), drawing on several sources and generating additional related, focused questions that allow for multiple avenues of exploration.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS3.D Articulation across grade-bands: HS.PS1.A; HS.PS1.B; HS.PS3.A; HS.PS3.B; HS.PS3.D
Standard Identifier: MS-PS2-1
Grade Range:
6–8
Disciplinary Core Idea:
PS2.A: Forces and Motion
Cross Cutting Concept:
CCC-4: Systems and Systems Models
Science & Engineering Practice:
SEP-6: Constructing Explanations and Designing Solutions
Content Area:
Physical Science
Title: MS-PS2 Motion and Stability: Forces and Interactions
Performance Expectation: Apply Newton’s Third Law to design a solution to a problem involving the motion of two colliding objects.* [Clarification Statement: Examples of practical problems could include the impact of collisions between two cars, between a car and stationary objects, and between a meteor and a space vehicle.] [Assessment Boundary: Assessment is limited to vertical or horizontal interactions in one dimension.]
Disciplinary Core Idea(s):
PS2.A: Forces and Motion For any pair of interacting objects, the force exerted by the first object on the second object is equal in strength to the force that the second object exerts on the first, but in the opposite direction (Newton’s third law).
Science & Engineering Practices: Constructing Explanations and Designing Solutions Apply scientific ideas or principles to design an object, tool, process or system.
Crosscutting Concepts: Systems and System Models Models can be used to represent systems and their interactions—such as inputs, processes and outputs—and energy and matter flows within systems. Connections to Engineering, Technology, and Applications of Science: Influence of Science, Engineering, and Technology on Society and the Natural World The uses of technologies and any limitations on their use are driven by individual or societal needs, desires, and values; by the findings of scientific research; and by differences in such factors as climate, natural resources, and economic conditions.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
ELA/Literacy RST.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. RST.6-8.3: Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks. WHST.6-8.7: Conduct short research projects to answer a question (including a self-generated question), drawing on several sources and generating additional related, focused questions that allow for multiple avenues of exploration. Mathematics MP.2: Reason abstractly and quantitatively. 6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values; use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. 6.EE.2.a-c: Write, read, and evaluate expressions in which letters stand for numbers. 7.EE.3-4: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS3.C Articulation across grade-bands: 3.PS2.A; HS.PS2.A
Performance Expectation: Apply Newton’s Third Law to design a solution to a problem involving the motion of two colliding objects.* [Clarification Statement: Examples of practical problems could include the impact of collisions between two cars, between a car and stationary objects, and between a meteor and a space vehicle.] [Assessment Boundary: Assessment is limited to vertical or horizontal interactions in one dimension.]
Disciplinary Core Idea(s):
PS2.A: Forces and Motion For any pair of interacting objects, the force exerted by the first object on the second object is equal in strength to the force that the second object exerts on the first, but in the opposite direction (Newton’s third law).
Science & Engineering Practices: Constructing Explanations and Designing Solutions Apply scientific ideas or principles to design an object, tool, process or system.
Crosscutting Concepts: Systems and System Models Models can be used to represent systems and their interactions—such as inputs, processes and outputs—and energy and matter flows within systems. Connections to Engineering, Technology, and Applications of Science: Influence of Science, Engineering, and Technology on Society and the Natural World The uses of technologies and any limitations on their use are driven by individual or societal needs, desires, and values; by the findings of scientific research; and by differences in such factors as climate, natural resources, and economic conditions.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
ELA/Literacy RST.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. RST.6-8.3: Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks. WHST.6-8.7: Conduct short research projects to answer a question (including a self-generated question), drawing on several sources and generating additional related, focused questions that allow for multiple avenues of exploration. Mathematics MP.2: Reason abstractly and quantitatively. 6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values; use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. 6.EE.2.a-c: Write, read, and evaluate expressions in which letters stand for numbers. 7.EE.3-4: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS3.C Articulation across grade-bands: 3.PS2.A; HS.PS2.A
Standard Identifier: HS-PS1-4
Grade Range:
9–12
Disciplinary Core Idea:
PS1.A: Structure and Properties of Matter, PS1.B: Chemical Reactions
Cross Cutting Concept:
CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Physical Science
Title: HS-PS1 Matter and Its Interactions
Performance Expectation: Develop a model to illustrate that the release or absorption of energy from a chemical reaction system depends upon the changes in total bond energy. [Clarification Statement: Emphasis is on the idea that a chemical reaction is a system that affects the energy change. Examples of models could include molecular-level drawings and diagrams of reactions, graphs showing the relative energies of reactants and products, and representations showing energy is conserved.] [Assessment Boundary: Assessment does not include calculating the total bond energy changes during a chemical reaction from the bond energies of reactants and products.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter A stable molecule has less energy than the same set of atoms separated; one must provide at least this energy in order to take the molecule apart. PS1.B: Chemical Reactions Chemical processes, their rates, and whether or not energy is stored or released can be understood in terms of the collisions of molecules and the rearrangements of atoms into new molecules, with consequent changes in the sum of all bond energies in the set of molecules that are matched by changes in kinetic energy.
Science & Engineering Practices: Developing and Using Models Develop a model based on evidence to illustrate the relationships between systems or between components of a system.
Crosscutting Concepts: Energy and Matter Changes of energy and matter in a system can be described in terms of energy and matter flows into, out of, and within that system.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
ELA/Literacy SL.11-12.5: Make strategic use of digital media (e.g., textual, graphical, audio, visual, and interactive elements) in presentations to enhance understanding of findings, reasoning, and evidence and to add interest. Mathematics MP.4: Model with mathematics. N-Q.1-3: Reason quantitatively and use units to solve problems.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.A; HS.PS3.B; HS.PS3.D; HS.LS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.PS2.B; MS.PS3.D; MS.LS1.C
Performance Expectation: Develop a model to illustrate that the release or absorption of energy from a chemical reaction system depends upon the changes in total bond energy. [Clarification Statement: Emphasis is on the idea that a chemical reaction is a system that affects the energy change. Examples of models could include molecular-level drawings and diagrams of reactions, graphs showing the relative energies of reactants and products, and representations showing energy is conserved.] [Assessment Boundary: Assessment does not include calculating the total bond energy changes during a chemical reaction from the bond energies of reactants and products.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter A stable molecule has less energy than the same set of atoms separated; one must provide at least this energy in order to take the molecule apart. PS1.B: Chemical Reactions Chemical processes, their rates, and whether or not energy is stored or released can be understood in terms of the collisions of molecules and the rearrangements of atoms into new molecules, with consequent changes in the sum of all bond energies in the set of molecules that are matched by changes in kinetic energy.
Science & Engineering Practices: Developing and Using Models Develop a model based on evidence to illustrate the relationships between systems or between components of a system.
Crosscutting Concepts: Energy and Matter Changes of energy and matter in a system can be described in terms of energy and matter flows into, out of, and within that system.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
ELA/Literacy SL.11-12.5: Make strategic use of digital media (e.g., textual, graphical, audio, visual, and interactive elements) in presentations to enhance understanding of findings, reasoning, and evidence and to add interest. Mathematics MP.4: Model with mathematics. N-Q.1-3: Reason quantitatively and use units to solve problems.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.A; HS.PS3.B; HS.PS3.D; HS.LS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.PS2.B; MS.PS3.D; MS.LS1.C
Standard Identifier: HS-PS1-7
Grade Range:
9–12
Disciplinary Core Idea:
PS1.B: Chemical Reactions
Cross Cutting Concept:
CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice:
SEP-5: Using Mathematics and Computational Thinking
Content Area:
Physical Science
Title: HS-PS1 Matter and Its Interactions
Performance Expectation: Use mathematical representations to support the claim that atoms, and therefore mass, are conserved during a chemical reaction. [Clarification Statement: Emphasis is on using mathematical ideas to communicate the proportional relationships between masses of atoms in the reactants and the products, and the translation of these relationships to the macroscopic scale using the mole as the conversion from the atomic to the macroscopic scale. Emphasis is on assessing students’ use of mathematical thinking and not on memorization and rote application of problem-solving techniques.] [Assessment Boundary: Assessment does not include complex chemical reactions.]
Disciplinary Core Idea(s):
PS1.B: Chemical Reactions The fact that atoms are conserved, together with knowledge of the chemical properties of the elements involved, can be used to describe and predict chemical reactions.
Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations of phenomena to support claims.
Crosscutting Concepts: Energy and Matter The total amount of energy and matter in closed systems is conserved. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Science assumes the universe is a vast single system in which basic laws are consistent.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
Mathematics MP.2: Reason abstractly and quantitatively. N-Q.1-3: Reason quantitatively and use units to solve problems.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.B; HS.LS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.LS1.C; MS.LS2.B; MS.ESS2.A
Performance Expectation: Use mathematical representations to support the claim that atoms, and therefore mass, are conserved during a chemical reaction. [Clarification Statement: Emphasis is on using mathematical ideas to communicate the proportional relationships between masses of atoms in the reactants and the products, and the translation of these relationships to the macroscopic scale using the mole as the conversion from the atomic to the macroscopic scale. Emphasis is on assessing students’ use of mathematical thinking and not on memorization and rote application of problem-solving techniques.] [Assessment Boundary: Assessment does not include complex chemical reactions.]
Disciplinary Core Idea(s):
PS1.B: Chemical Reactions The fact that atoms are conserved, together with knowledge of the chemical properties of the elements involved, can be used to describe and predict chemical reactions.
Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations of phenomena to support claims.
Crosscutting Concepts: Energy and Matter The total amount of energy and matter in closed systems is conserved. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Science assumes the universe is a vast single system in which basic laws are consistent.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
Mathematics MP.2: Reason abstractly and quantitatively. N-Q.1-3: Reason quantitatively and use units to solve problems.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.B; HS.LS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.LS1.C; MS.LS2.B; MS.ESS2.A
Standard Identifier: HS-PS1-8
Grade Range:
9–12
Disciplinary Core Idea:
PS1.C: Nuclear Processes
Cross Cutting Concept:
CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Physical Science
Title: HS-PS1 Matter and Its Interactions
Performance Expectation: Develop models to illustrate the changes in the composition of the nucleus of the atom and the energy released during the processes of fission, fusion, and radioactive decay. [Clarification Statement: Emphasis is on simple qualitative models, such as pictures or diagrams, and on the scale of energy released in nuclear processes relative to other kinds of transformations.] [Assessment Boundary: Assessment does not include quantitative calculation of energy released. Assessment is limited to alpha, beta, and gamma radioactive decays.]
Disciplinary Core Idea(s):
PS1.C: Nuclear Processes Nuclear processes, including fusion, fission, and radioactive decays of unstable nuclei, involve release or absorption of energy. The total number of neutrons plus protons does not change in any nuclear process.
Science & Engineering Practices: Developing and Using Models Develop a model based on evidence to illustrate the relationships between systems or between components of a system.
Crosscutting Concepts: Energy and Matter In nuclear processes, atoms are not conserved, but the total number of protons plus neutrons is conserved.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
Mathematics MP.4: Model with mathematics. N-Q.1-3: Reason quantitatively and use units to solve problems.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.A; HS.PS3.B; HS.PS3.C; HS.PS3.D; HS.ESS1.A; HS.ESS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.ESS2.A
Performance Expectation: Develop models to illustrate the changes in the composition of the nucleus of the atom and the energy released during the processes of fission, fusion, and radioactive decay. [Clarification Statement: Emphasis is on simple qualitative models, such as pictures or diagrams, and on the scale of energy released in nuclear processes relative to other kinds of transformations.] [Assessment Boundary: Assessment does not include quantitative calculation of energy released. Assessment is limited to alpha, beta, and gamma radioactive decays.]
Disciplinary Core Idea(s):
PS1.C: Nuclear Processes Nuclear processes, including fusion, fission, and radioactive decays of unstable nuclei, involve release or absorption of energy. The total number of neutrons plus protons does not change in any nuclear process.
Science & Engineering Practices: Developing and Using Models Develop a model based on evidence to illustrate the relationships between systems or between components of a system.
Crosscutting Concepts: Energy and Matter In nuclear processes, atoms are not conserved, but the total number of protons plus neutrons is conserved.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
Mathematics MP.4: Model with mathematics. N-Q.1-3: Reason quantitatively and use units to solve problems.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.A; HS.PS3.B; HS.PS3.C; HS.PS3.D; HS.ESS1.A; HS.ESS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.ESS2.A
Standard Identifier: HS-PS2-2
Grade Range:
9–12
Disciplinary Core Idea:
PS2.A: Forces and Motion
Cross Cutting Concept:
CCC-4: Systems and Systems Models
Science & Engineering Practice:
SEP-5: Using Mathematics and Computational Thinking
Content Area:
Physical Science
Title: HS-PS2 Motion and Stability: Forces and Interactions
Performance Expectation: Use mathematical representations to support the claim that the total momentum of a system of objects is conserved when there is no net force on the system. [Clarification Statement: Emphasis is on the quantitative conservation of momentum in interactions and the qualitative meaning of this principle.] [Assessment Boundary: Assessment is limited to systems of two macroscopic bodies moving in one dimension.]
Disciplinary Core Idea(s):
PS2.A: Forces and Motion Momentum is defined for a particular frame of reference; it is the mass times the velocity of the object. If a system interacts with objects outside itself, the total momentum of the system can change; however, any such change is balanced by changes in the momentum of objects outside the system.
Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations of phenomena to describe explanations.
Crosscutting Concepts: Systems and System Models When investigating or describing a system, the boundaries and initial conditions of the system need to be defined.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. N-Q.1-3: Reason quantitatively and use units to solve problems. A-CED.1: Create equations and inequalities in one variable and use them to solve problems. A-CED.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A-CED.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
DCI Connections:
Connections to other DCIs in this grade-band: HS.ESS1.A; HS.ESS1.C Articulation across grade-bands: MS.PS2.A; MS.PS3.C
Performance Expectation: Use mathematical representations to support the claim that the total momentum of a system of objects is conserved when there is no net force on the system. [Clarification Statement: Emphasis is on the quantitative conservation of momentum in interactions and the qualitative meaning of this principle.] [Assessment Boundary: Assessment is limited to systems of two macroscopic bodies moving in one dimension.]
Disciplinary Core Idea(s):
PS2.A: Forces and Motion Momentum is defined for a particular frame of reference; it is the mass times the velocity of the object. If a system interacts with objects outside itself, the total momentum of the system can change; however, any such change is balanced by changes in the momentum of objects outside the system.
Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations of phenomena to describe explanations.
Crosscutting Concepts: Systems and System Models When investigating or describing a system, the boundaries and initial conditions of the system need to be defined.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. N-Q.1-3: Reason quantitatively and use units to solve problems. A-CED.1: Create equations and inequalities in one variable and use them to solve problems. A-CED.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A-CED.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
DCI Connections:
Connections to other DCIs in this grade-band: HS.ESS1.A; HS.ESS1.C Articulation across grade-bands: MS.PS2.A; MS.PS3.C
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