Science (CA NGSS) Standards
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ESS1.A: The Universe and its Stars
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ESS2.C: The Roles of Water in Earth's Surface Processes
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LS1.B: Growth and Development of Organisms
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PS1.A: Structure and Properties of Matter
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Showing 21 - 30 of 35 Standards
Standard Identifier: MS-LS3-2
Grade Range:
6–8
Disciplinary Core Idea:
LS1.B: Growth and Development of Organisms, LS3.A: Inheritance of Traits, LS3.B: Variation of Traits
Cross Cutting Concept:
CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Life Science
Title: MS-LS3 Heredity: Inheritance and Variation of Traits
Performance Expectation: Develop and use a model to describe why asexual reproduction results in offspring with identical genetic information and sexual reproduction results in offspring with genetic variation. [Clarification Statement: Emphasis is on using models such as Punnett squares, diagrams, and simulations to describe the cause and effect relationship of gene transmission from parent(s) to offspring and resulting genetic variation.]
Disciplinary Core Idea(s):
LS1.B: Growth and Development of Organisms Organisms reproduce, either sexually or asexually, and transfer their genetic information to their offspring. (secondary to MS-LS3-2) LS3.A: Inheritance of Traits Variations of inherited traits between parent and offspring arise from genetic differences that result from the subset of chromosomes (and therefore genes) inherited. LS3.B: Variation of Traits In sexually reproducing organisms, each parent contributes half of the genes acquired (at random) by the offspring. Individuals have two of each chromosome and hence two alleles of each gene, one acquired from each parent. These versions may be identical or may differ from each other.
Science & Engineering Practices: Developing and Using Models Develop and use a model to describe phenomena.
Crosscutting Concepts: Cause and Effect Cause and effect relationships may be used to predict phenomena in natural systems.
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. RST.6-8.4: Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 6-8 texts and topics. 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). SL.8.5: Integrate multimedia and visual displays into presentations to clarify information, strengthen claims and evidence, and add interest. Mathematics MP.4: Model with mathematics. 6.SP.5.a-d: Summarize numerical data sets in relation to their context.
DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: 3.LS3.A; 3.LS3.B; HS.LS1.B; HS.LS3.A; HS.LS3.B
Performance Expectation: Develop and use a model to describe why asexual reproduction results in offspring with identical genetic information and sexual reproduction results in offspring with genetic variation. [Clarification Statement: Emphasis is on using models such as Punnett squares, diagrams, and simulations to describe the cause and effect relationship of gene transmission from parent(s) to offspring and resulting genetic variation.]
Disciplinary Core Idea(s):
LS1.B: Growth and Development of Organisms Organisms reproduce, either sexually or asexually, and transfer their genetic information to their offspring. (secondary to MS-LS3-2) LS3.A: Inheritance of Traits Variations of inherited traits between parent and offspring arise from genetic differences that result from the subset of chromosomes (and therefore genes) inherited. LS3.B: Variation of Traits In sexually reproducing organisms, each parent contributes half of the genes acquired (at random) by the offspring. Individuals have two of each chromosome and hence two alleles of each gene, one acquired from each parent. These versions may be identical or may differ from each other.
Science & Engineering Practices: Developing and Using Models Develop and use a model to describe phenomena.
Crosscutting Concepts: Cause and Effect Cause and effect relationships may be used to predict phenomena in natural systems.
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. RST.6-8.4: Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 6-8 texts and topics. 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). SL.8.5: Integrate multimedia and visual displays into presentations to clarify information, strengthen claims and evidence, and add interest. Mathematics MP.4: Model with mathematics. 6.SP.5.a-d: Summarize numerical data sets in relation to their context.
DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: 3.LS3.A; 3.LS3.B; HS.LS1.B; HS.LS3.A; HS.LS3.B
Standard Identifier: MS-PS1-1
Grade Range:
6–8
Disciplinary Core Idea:
PS1.A: Structure and Properties of Matter
Cross Cutting Concept:
CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Physical Science
Title: MS-PS1 Matter and Its Interactions
Performance Expectation: Develop models to describe the atomic composition of simple molecules and extended structures. [Clarification Statement: Emphasis is on developing models of molecules that vary in complexity. Examples of simple molecules could include ammonia and methanol. Examples of extended structures could include sodium chloride or diamonds. Examples of molecular-level models could include drawings, 3D ball and stick structures, or computer representations showing different molecules with different types of atoms.] [Assessment Boundary: Assessment does not include valence electrons and bonding energy, discussing the ionic nature of subunits of complex structures, or a complete depiction of all individual atoms in a complex molecule or extended structure.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Substances are made from different types of atoms, which combine with one another in various ways. Atoms form molecules that range in size from two to thousands of atoms. Solids may be formed from molecules, or they may be extended structures with repeating subunits (e.g., crystals).
Science & Engineering Practices: Developing and Using Models Develop a model to predict and/or describe phenomena.
Crosscutting Concepts: Scale, Proportion, and Quantity Time, space, and energy phenomena can be observed at various scales using models to study systems that are too large or too small.
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.ESS2.C Articulation across grade-bands: 5.PS1.A; HS.PS1.A; HS.ESS1.A
Performance Expectation: Develop models to describe the atomic composition of simple molecules and extended structures. [Clarification Statement: Emphasis is on developing models of molecules that vary in complexity. Examples of simple molecules could include ammonia and methanol. Examples of extended structures could include sodium chloride or diamonds. Examples of molecular-level models could include drawings, 3D ball and stick structures, or computer representations showing different molecules with different types of atoms.] [Assessment Boundary: Assessment does not include valence electrons and bonding energy, discussing the ionic nature of subunits of complex structures, or a complete depiction of all individual atoms in a complex molecule or extended structure.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Substances are made from different types of atoms, which combine with one another in various ways. Atoms form molecules that range in size from two to thousands of atoms. Solids may be formed from molecules, or they may be extended structures with repeating subunits (e.g., crystals).
Science & Engineering Practices: Developing and Using Models Develop a model to predict and/or describe phenomena.
Crosscutting Concepts: Scale, Proportion, and Quantity Time, space, and energy phenomena can be observed at various scales using models to study systems that are too large or too small.
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.ESS2.C Articulation across grade-bands: 5.PS1.A; HS.PS1.A; HS.ESS1.A
Standard Identifier: MS-PS1-2
Grade Range:
6–8
Disciplinary Core Idea:
PS1.A: Structure and Properties of Matter, PS1.B: Chemical Reactions
Cross Cutting Concept:
CCC-1: Patterns
Science & Engineering Practice:
SEP-4: Analyzing and Interpreting Data
Content Area:
Physical Science
Title: MS-PS1 Matter and Its Interactions
Performance Expectation: Analyze and interpret data on the properties of substances before and after the substances interact to determine if a chemical reaction has occurred. [Clarification Statement: Examples of reactions could include burning sugar or steel wool, fat reacting with sodium hydroxide, and mixing zinc with hydrogen chloride.] [Assessment Boundary: Assessment is limited to analysis of the following properties: density, melting point, boiling point, solubility, flammability, and odor.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Each pure substance has characteristic physical and chemical properties (for any bulk quantity under given conditions) that can be used to identify it. 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.
Science & Engineering Practices: Analyzing and Interpreting Data Analyze and interpret data to determine similarities and differences in findings. Connections to Nature of Science: Scientific Knowledge is Based on Empirical Evidence Science knowledge is based upon logical and conceptual connections between evidence and explanations.
Crosscutting Concepts: Patterns Macroscopic patterns are related to the nature of microscopic and atomic-level structure.
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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. RST.6-8.7: 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. 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems. 6.SP.4: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. 6.SP.5.a-d: Summarize numerical data sets in relation to their context.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS3.D; MS.LS1.C; MS.ESS2.A Articulation across grade-bands: 5.PS1.B; HS.PS1.B
Performance Expectation: Analyze and interpret data on the properties of substances before and after the substances interact to determine if a chemical reaction has occurred. [Clarification Statement: Examples of reactions could include burning sugar or steel wool, fat reacting with sodium hydroxide, and mixing zinc with hydrogen chloride.] [Assessment Boundary: Assessment is limited to analysis of the following properties: density, melting point, boiling point, solubility, flammability, and odor.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Each pure substance has characteristic physical and chemical properties (for any bulk quantity under given conditions) that can be used to identify it. 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.
Science & Engineering Practices: Analyzing and Interpreting Data Analyze and interpret data to determine similarities and differences in findings. Connections to Nature of Science: Scientific Knowledge is Based on Empirical Evidence Science knowledge is based upon logical and conceptual connections between evidence and explanations.
Crosscutting Concepts: Patterns Macroscopic patterns are related to the nature of microscopic and atomic-level structure.
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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. RST.6-8.7: 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. 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems. 6.SP.4: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. 6.SP.5.a-d: Summarize numerical data sets in relation to their context.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS3.D; MS.LS1.C; MS.ESS2.A Articulation across grade-bands: 5.PS1.B; HS.PS1.B
Standard Identifier: MS-PS1-3
Grade Range:
6–8
Disciplinary Core Idea:
PS1.A: Structure and Properties of Matter, PS1.B: Chemical Reactions
Cross Cutting Concept:
CCC-6: Structure and Function
Science & Engineering Practice:
SEP-8: Obtaining, Evaluating, and Communicating Information
Content Area:
Physical Science
Title: MS-PS1 Matter and Its Interactions
Performance Expectation: Gather and make sense of information to describe that synthetic materials come from natural resources and impact society. [Clarification Statement: Emphasis is on natural resources that undergo a chemical process to form the synthetic material. Examples of new materials could include new medicine, foods, and alternative fuels.] [Assessment Boundary: Assessment is limited to qualitative information.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Each pure substance has characteristic physical and chemical properties (for any bulk quantity under given conditions) that can be used to identify it. 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.
Science & Engineering Practices: Obtaining, Evaluating, and Communicating Information Gather, read, and synthesize information from multiple appropriate sources and assess the credibility, accuracy, and possible bias of each publication and methods used, and describe how they are supported or now supported by evidence.
Crosscutting Concepts: Structure and Function Structures can be designed to serve particular functions by taking into account properties of different materials, and how materials can be shaped and used. Connections to Engineering, Technology, and Applications of Science: Interdependence of Science, Engineering, and Technology Engineering advances have led to important discoveries in virtually every field of science, and scientific discoveries have led to the development of entire industries and engineered systems. Influence of Science, Engineering and Technology on Society and the Natural World The uses of technologies and any limitation 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. Thus technology use varies from region to region and over time.
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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. WHST.6–8.8: Gather relevant information from multiple print and digital sources (primary and secondary), using search terms effectively; assess the credibility and accuracy of each source; and quote or paraphrase the data and conclusions of others while avoiding plagiarism and following a standard format for citation.
DCI Connections:
Connections to other DCIs in this grade-band: MS.LS2.A; MS.LS4.D; MS.ESS3.A; MS.ESS3.C Articulation across grade-bands: HS.PS1.A; HS.LS2.A; HS.LS4.D; HS.ESS3.A
Performance Expectation: Gather and make sense of information to describe that synthetic materials come from natural resources and impact society. [Clarification Statement: Emphasis is on natural resources that undergo a chemical process to form the synthetic material. Examples of new materials could include new medicine, foods, and alternative fuels.] [Assessment Boundary: Assessment is limited to qualitative information.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Each pure substance has characteristic physical and chemical properties (for any bulk quantity under given conditions) that can be used to identify it. 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.
Science & Engineering Practices: Obtaining, Evaluating, and Communicating Information Gather, read, and synthesize information from multiple appropriate sources and assess the credibility, accuracy, and possible bias of each publication and methods used, and describe how they are supported or now supported by evidence.
Crosscutting Concepts: Structure and Function Structures can be designed to serve particular functions by taking into account properties of different materials, and how materials can be shaped and used. Connections to Engineering, Technology, and Applications of Science: Interdependence of Science, Engineering, and Technology Engineering advances have led to important discoveries in virtually every field of science, and scientific discoveries have led to the development of entire industries and engineered systems. Influence of Science, Engineering and Technology on Society and the Natural World The uses of technologies and any limitation 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. Thus technology use varies from region to region and over time.
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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. WHST.6–8.8: Gather relevant information from multiple print and digital sources (primary and secondary), using search terms effectively; assess the credibility and accuracy of each source; and quote or paraphrase the data and conclusions of others while avoiding plagiarism and following a standard format for citation.
DCI Connections:
Connections to other DCIs in this grade-band: MS.LS2.A; MS.LS4.D; MS.ESS3.A; MS.ESS3.C Articulation across grade-bands: HS.PS1.A; HS.LS2.A; HS.LS4.D; HS.ESS3.A
Standard Identifier: MS-PS1-4
Grade Range:
6–8
Disciplinary Core Idea:
PS1.A: Structure and Properties of Matter, PS3.A: Definitions of Energy
Cross Cutting Concept:
CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Physical Science
Title: MS-PS1 Matter and Its Interactions
Performance Expectation: Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed. [Clarification Statement: Emphasis is on qualitative molecular-level models of solids, liquids, and gases to show that adding or removing thermal energy increases or decreases kinetic energy of the particles until a change of state occurs. Examples of models could include drawings and diagrams. Examples of particles could include molecules or inert atoms. Examples of pure substances could include water, carbon dioxide, and helium.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Gases and liquids are made of molecules or inert atoms that are moving about relative to each other. In a liquid, the molecules are constantly in contact with others; in a gas, they are widely spaced except when they happen to collide. In a solid, atoms are closely spaced and may vibrate in position but do not change relative locations. The changes of state that occur with variations in temperature or pressure can be described and predicted using these models of matter. PS3.A: Definitions of Energy The term “heat” as used in everyday language refers both to thermal energy (the motion of atoms or molecules within a substance) and the transfer of that thermal energy from one object to another. In science, heat is used only for this second meaning; it refers to the energy transferred due to the temperature difference between two objects. (secondary to MS-PS1-4) The temperature of a system is proportional to the average internal kinetic energy and potential energy per atom or molecule (whichever is the appropriate building block for the system’s material). The details of that relationship depend on the type of atom or molecule and the interactions among the atoms in the material. Temperature is not a direct measure of a system's total thermal energy. The total thermal energy (sometimes called the total internal energy) of a system depends jointly on the temperature, the total number of atoms in the system, and the state of the material. (secondary to MS-PS1-4)
Science & Engineering Practices: Developing and Using Models Develop a model to predict and/or describe phenomena.
Crosscutting Concepts: Cause and Effect Cause and effect relationships may be used to predict phenomena in natural or designed systems.
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 6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
DCI Connections:
Connections to other DCIs in this grade-band: MS.ESS2.C Articulation across grade-bands: HS.PS1.A; HS.PS1.B; HS.PS3.A
Performance Expectation: Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed. [Clarification Statement: Emphasis is on qualitative molecular-level models of solids, liquids, and gases to show that adding or removing thermal energy increases or decreases kinetic energy of the particles until a change of state occurs. Examples of models could include drawings and diagrams. Examples of particles could include molecules or inert atoms. Examples of pure substances could include water, carbon dioxide, and helium.]
Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Gases and liquids are made of molecules or inert atoms that are moving about relative to each other. In a liquid, the molecules are constantly in contact with others; in a gas, they are widely spaced except when they happen to collide. In a solid, atoms are closely spaced and may vibrate in position but do not change relative locations. The changes of state that occur with variations in temperature or pressure can be described and predicted using these models of matter. PS3.A: Definitions of Energy The term “heat” as used in everyday language refers both to thermal energy (the motion of atoms or molecules within a substance) and the transfer of that thermal energy from one object to another. In science, heat is used only for this second meaning; it refers to the energy transferred due to the temperature difference between two objects. (secondary to MS-PS1-4) The temperature of a system is proportional to the average internal kinetic energy and potential energy per atom or molecule (whichever is the appropriate building block for the system’s material). The details of that relationship depend on the type of atom or molecule and the interactions among the atoms in the material. Temperature is not a direct measure of a system's total thermal energy. The total thermal energy (sometimes called the total internal energy) of a system depends jointly on the temperature, the total number of atoms in the system, and the state of the material. (secondary to MS-PS1-4)
Science & Engineering Practices: Developing and Using Models Develop a model to predict and/or describe phenomena.
Crosscutting Concepts: Cause and Effect Cause and effect relationships may be used to predict phenomena in natural or designed systems.
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 6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
DCI Connections:
Connections to other DCIs in this grade-band: MS.ESS2.C Articulation across grade-bands: HS.PS1.A; HS.PS1.B; HS.PS3.A
Standard Identifier: HS-ESS1-1
Grade Range:
9–12
Disciplinary Core Idea:
ESS1.A: The Universe and its Stars, PS3.D: Energy in Chemical Processes
Cross Cutting Concept:
CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Earth and Space Science
Title: HS-ESS1 Earth’s Place in the Universe
Performance Expectation: Develop a model based on evidence to illustrate the life span of the sun and the role of nuclear fusion in the sun’s core to release energy that eventually reaches Earth in the form of radiation. [Clarification Statement: Emphasis is on the energy transfer mechanisms that allow energy from nuclear fusion in the sun’s core to reach Earth. Examples of evidence for the model include observations of the masses and lifetimes of other stars, as well as the ways that the sun’s radiation varies due to sudden solar flares (“space weather”), the 11-year sunspot cycle, and non-cyclic variations over centuries.] [Assessment Boundary: Assessment does not include details of the atomic and sub-atomic processes involved with the sun’s nuclear fusion.]
Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars The star called the sun is changing and will burn out over a lifespan of approximately 10 billion years. PS3.D: Energy in Chemical Processes Nuclear Fusion processes in the center of the sun release the energy that ultimately reaches Earth as radiation. (secondary to HS-ESS1-1)
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: Scale, Proportion, and Quantity The significance of a phenomenon is dependent on the scale, proportion, and quantity at which it occurs.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
ELA/Literacy RST.11-12.1: Cite specific textual evidence to support analysis of science and technical texts, attending to important distinctions the author makes and to any gaps or inconsistencies in the account. 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-SSE.1.a-b: Interpret expressions that represent a quantity in terms of its context. 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. HSN-Q.A.2: Define appropriate quantities for the purpose of descriptive modeling. HSN-Q.A.3: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS1.C; HS.PS3.A Articulation across grade-bands: MS.PS1.A; MS.PS4.B; MS.ESS1.A; MS.ESS2.A; MS.ESS2.D
Performance Expectation: Develop a model based on evidence to illustrate the life span of the sun and the role of nuclear fusion in the sun’s core to release energy that eventually reaches Earth in the form of radiation. [Clarification Statement: Emphasis is on the energy transfer mechanisms that allow energy from nuclear fusion in the sun’s core to reach Earth. Examples of evidence for the model include observations of the masses and lifetimes of other stars, as well as the ways that the sun’s radiation varies due to sudden solar flares (“space weather”), the 11-year sunspot cycle, and non-cyclic variations over centuries.] [Assessment Boundary: Assessment does not include details of the atomic and sub-atomic processes involved with the sun’s nuclear fusion.]
Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars The star called the sun is changing and will burn out over a lifespan of approximately 10 billion years. PS3.D: Energy in Chemical Processes Nuclear Fusion processes in the center of the sun release the energy that ultimately reaches Earth as radiation. (secondary to HS-ESS1-1)
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: Scale, Proportion, and Quantity The significance of a phenomenon is dependent on the scale, proportion, and quantity at which it occurs.
California Environmental Principles and Concepts:
N/A
California Common Core State Standards Connections:
ELA/Literacy RST.11-12.1: Cite specific textual evidence to support analysis of science and technical texts, attending to important distinctions the author makes and to any gaps or inconsistencies in the account. 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-SSE.1.a-b: Interpret expressions that represent a quantity in terms of its context. 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. HSN-Q.A.2: Define appropriate quantities for the purpose of descriptive modeling. HSN-Q.A.3: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS1.C; HS.PS3.A Articulation across grade-bands: MS.PS1.A; MS.PS4.B; MS.ESS1.A; MS.ESS2.A; MS.ESS2.D
Standard Identifier: HS-ESS1-2
Grade Range:
9–12
Disciplinary Core Idea:
ESS1.A: The Universe and its Stars, PS4.B: Electromagnetic Radiation
Cross Cutting Concept:
CCC-5: Energy and Matter: Flows, cycles, and conservation
Science & Engineering Practice:
SEP-6: Constructing Explanations and Designing Solutions
Content Area:
Earth and Space Science
Title: HS-ESS1 Earth’s Place in the Universe
Performance Expectation: Construct an explanation of the Big Bang theory based on astronomical evidence of light spectra, motion of distant galaxies, and composition of matter in the universe. [Clarification Statement: Emphasis is on the astronomical evidence of the red shift of light from galaxies as an indication that the universe is currently expanding, the cosmic microwave background as the remnant radiation from the Big Bang, and the observed composition of ordinary matter of the universe, primarily found in stars and interstellar gases (from the spectra of electromagnetic radiation from stars), which matches that predicted by the Big Bang theory (3/4 hydrogen and 1/4 helium).]
Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars The study of stars’ light spectra and brightness is used to identify compositional elements of stars, their movements, and their distances from Earth. The Big Bang theory is supported by observations of distant galaxies receding from our own, of the measured composition of stars and non-stellar gases, and of the maps of spectra of the primordial radiation (cosmic microwave background) that still fills the universe. Other than the hydrogen and helium formed at the time of the Big Bang, nuclear fusion within stars produces all atomic nuclei lighter than and including iron, and the process releases electromagnetic energy. Heavier elements are produced when certain massive stars achieve a supernova stage and explode. PS4.B: Electromagnetic Radiation Atoms of each element emit and absorb characteristic frequencies of light. These characteristics allow identification of the presence of an element, even in microscopic quantities. (secondary to HS-ESS1-2)
Science & Engineering Practices: Constructing Explanations and Designing Solutions Construct an explanation based on valid and reliable evidence obtained from a variety of sources (including students’ own investigations, theories, simulations, peer review) and the assumption that theories and laws that describe the natural world operate today as they did in the past and will continue to do so in the future. Connections to Nature of Science: Science Models, Laws, Mechanisms, and Theories Explain Natural Phenomena A scientific theory is a substantiated explanation of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment and the science community validates each theory before it is accepted. If new evidence is discovered that the theory does not accommodate, the theory is generally modified in light of this new evidence.
Crosscutting Concepts: Energy and Matter Energy cannot be created or destroyed–only moved between one place and another place, between objects and/or fields, or between systems. Connections to Engineering, Technology, and Applications of Science: Interdependence of Science, Engineering, and Technology Science and engineering complement each other in the cycle known as research and development (R&D). Many R&D projects may involve scientists, engineers, and others with wide ranges of expertise. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Scientific knowledge is based on the assumption that natural laws operate today as they did in the past and they will continue to do so in the future. 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:
ELA/Literacy RST.11-12.1: Cite specific textual evidence to support analysis of science and technical texts, attending to important distinctions the author makes and to any gaps or inconsistencies in the account. WHST.9-10.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. WHST.11-12.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. Mathematics MP.2: Reason abstractly and quantitatively. N-Q.1-3: Reason quantitatively and use units to solve problems. A-SSE.1.a-b: Interpret expressions that represent a quantity in terms of its context. 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.PS1.A; HS.PS1.C; HS.PS3.A; HS.PS3.B; HS.PS4.A Articulation across grade-bands: MS.PS1.A; MS.PS4.B; MS.ESS1.A
Performance Expectation: Construct an explanation of the Big Bang theory based on astronomical evidence of light spectra, motion of distant galaxies, and composition of matter in the universe. [Clarification Statement: Emphasis is on the astronomical evidence of the red shift of light from galaxies as an indication that the universe is currently expanding, the cosmic microwave background as the remnant radiation from the Big Bang, and the observed composition of ordinary matter of the universe, primarily found in stars and interstellar gases (from the spectra of electromagnetic radiation from stars), which matches that predicted by the Big Bang theory (3/4 hydrogen and 1/4 helium).]
Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars The study of stars’ light spectra and brightness is used to identify compositional elements of stars, their movements, and their distances from Earth. The Big Bang theory is supported by observations of distant galaxies receding from our own, of the measured composition of stars and non-stellar gases, and of the maps of spectra of the primordial radiation (cosmic microwave background) that still fills the universe. Other than the hydrogen and helium formed at the time of the Big Bang, nuclear fusion within stars produces all atomic nuclei lighter than and including iron, and the process releases electromagnetic energy. Heavier elements are produced when certain massive stars achieve a supernova stage and explode. PS4.B: Electromagnetic Radiation Atoms of each element emit and absorb characteristic frequencies of light. These characteristics allow identification of the presence of an element, even in microscopic quantities. (secondary to HS-ESS1-2)
Science & Engineering Practices: Constructing Explanations and Designing Solutions Construct an explanation based on valid and reliable evidence obtained from a variety of sources (including students’ own investigations, theories, simulations, peer review) and the assumption that theories and laws that describe the natural world operate today as they did in the past and will continue to do so in the future. Connections to Nature of Science: Science Models, Laws, Mechanisms, and Theories Explain Natural Phenomena A scientific theory is a substantiated explanation of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment and the science community validates each theory before it is accepted. If new evidence is discovered that the theory does not accommodate, the theory is generally modified in light of this new evidence.
Crosscutting Concepts: Energy and Matter Energy cannot be created or destroyed–only moved between one place and another place, between objects and/or fields, or between systems. Connections to Engineering, Technology, and Applications of Science: Interdependence of Science, Engineering, and Technology Science and engineering complement each other in the cycle known as research and development (R&D). Many R&D projects may involve scientists, engineers, and others with wide ranges of expertise. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Scientific knowledge is based on the assumption that natural laws operate today as they did in the past and they will continue to do so in the future. 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:
ELA/Literacy RST.11-12.1: Cite specific textual evidence to support analysis of science and technical texts, attending to important distinctions the author makes and to any gaps or inconsistencies in the account. WHST.9-10.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. WHST.11-12.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. Mathematics MP.2: Reason abstractly and quantitatively. N-Q.1-3: Reason quantitatively and use units to solve problems. A-SSE.1.a-b: Interpret expressions that represent a quantity in terms of its context. 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.PS1.A; HS.PS1.C; HS.PS3.A; HS.PS3.B; HS.PS4.A Articulation across grade-bands: MS.PS1.A; MS.PS4.B; MS.ESS1.A
Standard Identifier: HS-ESS1-3
Grade Range:
9–12
Disciplinary Core Idea:
ESS1.A: The Universe and its Stars
Cross Cutting Concept:
CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice:
SEP-8: Obtaining, Evaluating, and Communicating Information
Content Area:
Earth and Space Science
Title: HS-ESS1 Earth’s Place in the Universe
Performance Expectation: Communicate scientific ideas about the way stars, over their life cycle, produce elements. [Clarification Statement: Emphasis is on the way nucleosynthesis, and therefore the different elements created, varies as a function of the mass of a star and the stage of its lifetime.] [Assessment Boundary: Details of the many different nucleosynthesis pathways for stars of differing masses are not assessed.]
Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars The study of stars’ light spectra and brightness is used to identify compositional elements of stars, their movements, and their distances from Earth. Other than the hydrogen and helium formed at the time of the Big Bang, nuclear fusion within stars produces all atomic nuclei lighter than and including iron, and the process releases electromagnetic energy. Heavier elements are produced when certain massive stars achieve a supernova stage and explode.
Science & Engineering Practices: Obtaining, Evaluating, and Communicating Information Communicate scientific ideas (e.g., about phenomena and/or the process of development and the design and performance of a proposed process or system) in multiple formats (including orally, graphically, textually, and mathematically).
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:
ELA/Literacy WHST.9-10.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. WHST.11-12.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. SL.11-12.4: Present claims and findings, emphasizing salient points in a focused, coherent manner with relevant evidence, sound valid reasoning, and well-chosen details; use appropriate eye contact, adequate volume, and clear pronunciation. Mathematics MP.2: Reason abstractly and quantitatively.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS1.A; HS.PS1.C Articulation across grade-bands: MS.PS1.A; MS.ESS1.A
Performance Expectation: Communicate scientific ideas about the way stars, over their life cycle, produce elements. [Clarification Statement: Emphasis is on the way nucleosynthesis, and therefore the different elements created, varies as a function of the mass of a star and the stage of its lifetime.] [Assessment Boundary: Details of the many different nucleosynthesis pathways for stars of differing masses are not assessed.]
Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars The study of stars’ light spectra and brightness is used to identify compositional elements of stars, their movements, and their distances from Earth. Other than the hydrogen and helium formed at the time of the Big Bang, nuclear fusion within stars produces all atomic nuclei lighter than and including iron, and the process releases electromagnetic energy. Heavier elements are produced when certain massive stars achieve a supernova stage and explode.
Science & Engineering Practices: Obtaining, Evaluating, and Communicating Information Communicate scientific ideas (e.g., about phenomena and/or the process of development and the design and performance of a proposed process or system) in multiple formats (including orally, graphically, textually, and mathematically).
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:
ELA/Literacy WHST.9-10.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. WHST.11-12.2: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. SL.11-12.4: Present claims and findings, emphasizing salient points in a focused, coherent manner with relevant evidence, sound valid reasoning, and well-chosen details; use appropriate eye contact, adequate volume, and clear pronunciation. Mathematics MP.2: Reason abstractly and quantitatively.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS1.A; HS.PS1.C Articulation across grade-bands: MS.PS1.A; MS.ESS1.A
Standard Identifier: HS-ESS2-5
Grade Range:
9–12
Disciplinary Core Idea:
ESS2.C: The Roles of Water in Earth's Surface Processes
Cross Cutting Concept:
CCC-6: Structure and Function
Science & Engineering Practice:
SEP-3: Planning and Carrying Out Investigations
Content Area:
Earth and Space Science
Title: HS-ESS2 Earth’s Systems
Performance Expectation: Plan and conduct an investigation of the properties of water and its effects on Earth materials and surface processes. [Clarification Statement: Emphasis is on mechanical and chemical investigations with water and a variety of solid materials to provide the evidence for connections between the hydrologic cycle and system interactions commonly known as the rock cycle. Examples of mechanical investigations include stream transportation and deposition using a stream table, erosion using variations in soil moisture content, or frost wedging by the expansion of water as it freezes. Examples of chemical investigations include chemical weathering and recrystallization (by testing the solubility of different materials) or melt generation (by examining how water lowers the melting temperature of most solids).]
Disciplinary Core Idea(s):
ESS2.C: The Roles of Water in Earth’s Surface Processes The abundance of liquid water on Earth’s surface and its unique combination of physical and chemical properties are central to the planet’s dynamics. These properties include water’s exceptional capacity to absorb, store, and release large amounts of energy, transmit sunlight, expand upon freezing, dissolve and transport materials, and lower the viscosities and melting points of rocks.
Science & Engineering Practices: Planning and Carrying Out Investigations Plan and conduct an investigation individually and collaboratively to produce data to serve as the basis for evidence, and in the design: decide on types, how much, and accuracy of data needed to produce reliable measurements and consider limitations on the precision of the data (e.g., number of trials, cost, risk, time), and refine the design accordingly.
Crosscutting Concepts: Structure and Function The functions and properties of natural and designed objects and systems can be inferred from their overall structure, the way their components are shaped and used, and the molecular substructures of its various materials.
California Environmental Principles and Concepts:
Principle III Natural systems proceed through cycles that humans depend upon, benefit from, and can alter. Principle IV The exchange of matter between natural systems and human societies affects the long-term functioning of both.
California Common Core State Standards Connections:
ELA/Literacy WHST.9-12.7: Conduct short as well as more sustained research projects to answer a question (including a self-generated question) or solve a problem; narrow or broaden the inquiry when appropriate; synthesize multiple sources on the subject, demonstrating understanding of the subject under investigation.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS1.A; HS.PS1.B; HS.PS3.B; HS.ESS3.C Articulation across grade-bands: MS.PS1.A; MS.PS4.B; MS.ESS2.A; MS.ESS2.C; MS.ESS2.D
Performance Expectation: Plan and conduct an investigation of the properties of water and its effects on Earth materials and surface processes. [Clarification Statement: Emphasis is on mechanical and chemical investigations with water and a variety of solid materials to provide the evidence for connections between the hydrologic cycle and system interactions commonly known as the rock cycle. Examples of mechanical investigations include stream transportation and deposition using a stream table, erosion using variations in soil moisture content, or frost wedging by the expansion of water as it freezes. Examples of chemical investigations include chemical weathering and recrystallization (by testing the solubility of different materials) or melt generation (by examining how water lowers the melting temperature of most solids).]
Disciplinary Core Idea(s):
ESS2.C: The Roles of Water in Earth’s Surface Processes The abundance of liquid water on Earth’s surface and its unique combination of physical and chemical properties are central to the planet’s dynamics. These properties include water’s exceptional capacity to absorb, store, and release large amounts of energy, transmit sunlight, expand upon freezing, dissolve and transport materials, and lower the viscosities and melting points of rocks.
Science & Engineering Practices: Planning and Carrying Out Investigations Plan and conduct an investigation individually and collaboratively to produce data to serve as the basis for evidence, and in the design: decide on types, how much, and accuracy of data needed to produce reliable measurements and consider limitations on the precision of the data (e.g., number of trials, cost, risk, time), and refine the design accordingly.
Crosscutting Concepts: Structure and Function The functions and properties of natural and designed objects and systems can be inferred from their overall structure, the way their components are shaped and used, and the molecular substructures of its various materials.
California Environmental Principles and Concepts:
Principle III Natural systems proceed through cycles that humans depend upon, benefit from, and can alter. Principle IV The exchange of matter between natural systems and human societies affects the long-term functioning of both.
California Common Core State Standards Connections:
ELA/Literacy WHST.9-12.7: Conduct short as well as more sustained research projects to answer a question (including a self-generated question) or solve a problem; narrow or broaden the inquiry when appropriate; synthesize multiple sources on the subject, demonstrating understanding of the subject under investigation.
DCI Connections:
Connections to other DCIs in this grade-band: HS.PS1.A; HS.PS1.B; HS.PS3.B; HS.ESS3.C Articulation across grade-bands: MS.PS1.A; MS.PS4.B; MS.ESS2.A; MS.ESS2.C; MS.ESS2.D
Standard Identifier: HS-LS1-4
Grade Range:
9–12
Disciplinary Core Idea:
LS1.B: Growth and Development of Organisms
Cross Cutting Concept:
CCC-4: Systems and Systems Models
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Life Science
Title: HS-LS1 From Molecules to Organisms: Structures and Processes
Performance Expectation: Use a model to illustrate the role of cellular division (mitosis) and differentiation in producing and maintaining complex organisms. [Assessment Boundary: Assessment does not include specific gene control mechanisms or rote memorization of the steps of mitosis.]
Disciplinary Core Idea(s):
LS1.B: Growth and Development of Organisms In multicellular organisms individual cells grow and then divide via a process called mitosis, thereby allowing the organism to grow. The organism begins as a single cell (fertilized egg) that divides successively to produce many cells, with each parent cell passing identical genetic material (two variants of each chromosome pair) to both daughter cells. Cellular division and differentiation produce and maintain a complex organism, composed of systems of tissues and organs that work together to meet the needs of the whole organism.
Science & Engineering Practices: Developing and Using Models Use a model based on evidence to illustrate the relationships between systems or between components of a system.
Crosscutting Concepts: Systems and System Models Models (e.g., physical, mathematical, computer models) can be used to simulate systems and interactions—including energy, matter, and information flows—within and between systems at different scales.
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. F-IF.7.a-e: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. F-BF.1.a-c: Write a function that describes a relationship between two quantities.
DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: MS.LS1.A; MS.LS1.B; MS.LS3.A
Performance Expectation: Use a model to illustrate the role of cellular division (mitosis) and differentiation in producing and maintaining complex organisms. [Assessment Boundary: Assessment does not include specific gene control mechanisms or rote memorization of the steps of mitosis.]
Disciplinary Core Idea(s):
LS1.B: Growth and Development of Organisms In multicellular organisms individual cells grow and then divide via a process called mitosis, thereby allowing the organism to grow. The organism begins as a single cell (fertilized egg) that divides successively to produce many cells, with each parent cell passing identical genetic material (two variants of each chromosome pair) to both daughter cells. Cellular division and differentiation produce and maintain a complex organism, composed of systems of tissues and organs that work together to meet the needs of the whole organism.
Science & Engineering Practices: Developing and Using Models Use a model based on evidence to illustrate the relationships between systems or between components of a system.
Crosscutting Concepts: Systems and System Models Models (e.g., physical, mathematical, computer models) can be used to simulate systems and interactions—including energy, matter, and information flows—within and between systems at different scales.
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. F-IF.7.a-e: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. F-BF.1.a-c: Write a function that describes a relationship between two quantities.
DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: MS.LS1.A; MS.LS1.B; MS.LS3.A
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