Science (CA NGSS) Standards
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Showing 1 - 8 of 8 Standards
Standard Identifier: MS-LS3-1
Grade Range:
6–8
Disciplinary Core Idea:
LS3.A: Inheritance of Traits, LS3.B: Variation of Traits
Cross Cutting Concept:
CCC-6: Structure and Function
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 structural changes to genes (mutations) located on chromosomes may affect proteins and may result in harmful, beneficial, or neutral effects to the structure and function of the organism. [Clarification Statement: Emphasis is on conceptual understanding that changes in genetic material may result in making different proteins.] [Assessment Boundary: Assessment does not include specific changes at the molecular level, mechanisms for protein synthesis, or specific types of mutations.]
Disciplinary Core Idea(s):
LS3.A: Inheritance of Traits Genes are located in the chromosomes of cells, with each chromosome pair containing two variants of each of many distinct genes. Each distinct gene chiefly controls the production of specific proteins, which in turn affects the traits of the individual. Changes (mutations) to genes can result in changes to proteins, which can affect the structures and functions of the organism and thereby change traits. LS3.B: Variation of Traits In addition to variations that arise from sexual reproduction, genetic information can be altered because of mutations. Though rare, mutations may result in changes to the structure and function of proteins. Some changes are beneficial, others harmful, and some neutral to the organism.
Science & Engineering Practices: Developing and Using Models Develop and use a model to describe phenomena.
Crosscutting Concepts: Structure and Function Complex and microscopic structures and systems can be visualized, modeled, and used to describe how their function depends on the shapes, composition, and relationships among its parts, therefore complex natural structures/systems can be analyzed to determine how they function.
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 components and visual displays in presentations to clarify claims and findings and emphasize salient points.
DCI Connections:
Connections to other DCIs in this grade-band: MS.LS1.A; MS.LS4.A Articulation across grade-bands: 3.LS3.A; 3.LS3.B; HS.LS1.A; HS.LS1.B; HS.LS3.A; HS.LS3.B
Performance Expectation: Develop and use a model to describe why structural changes to genes (mutations) located on chromosomes may affect proteins and may result in harmful, beneficial, or neutral effects to the structure and function of the organism. [Clarification Statement: Emphasis is on conceptual understanding that changes in genetic material may result in making different proteins.] [Assessment Boundary: Assessment does not include specific changes at the molecular level, mechanisms for protein synthesis, or specific types of mutations.]
Disciplinary Core Idea(s):
LS3.A: Inheritance of Traits Genes are located in the chromosomes of cells, with each chromosome pair containing two variants of each of many distinct genes. Each distinct gene chiefly controls the production of specific proteins, which in turn affects the traits of the individual. Changes (mutations) to genes can result in changes to proteins, which can affect the structures and functions of the organism and thereby change traits. LS3.B: Variation of Traits In addition to variations that arise from sexual reproduction, genetic information can be altered because of mutations. Though rare, mutations may result in changes to the structure and function of proteins. Some changes are beneficial, others harmful, and some neutral to the organism.
Science & Engineering Practices: Developing and Using Models Develop and use a model to describe phenomena.
Crosscutting Concepts: Structure and Function Complex and microscopic structures and systems can be visualized, modeled, and used to describe how their function depends on the shapes, composition, and relationships among its parts, therefore complex natural structures/systems can be analyzed to determine how they function.
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 components and visual displays in presentations to clarify claims and findings and emphasize salient points.
DCI Connections:
Connections to other DCIs in this grade-band: MS.LS1.A; MS.LS4.A Articulation across grade-bands: 3.LS3.A; 3.LS3.B; HS.LS1.A; HS.LS1.B; HS.LS3.A; HS.LS3.B
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: MS-PS3-1
Grade Range:
6–8
Disciplinary Core Idea:
PS3.A: Definitions of Energy
Cross Cutting Concept:
CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice:
SEP-4: Analyzing and Interpreting Data
Content Area:
Physical Science
Title: MS-PS3 Energy
Performance Expectation: Construct and interpret graphical displays of data to describe the relationships of kinetic energy to the mass of an object and to the speed of an object. [Clarification Statement: Emphasis is on descriptive relationships between kinetic energy and mass separately from kinetic energy and speed. Examples could include riding a bicycle at different speeds, rolling different sizes of rocks downhill, and getting hit by a whiffle ball versus a tennis ball.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Motion energy is properly called kinetic energy; it is proportional to the mass of the moving object and grows with the square of its speed.
Science & Engineering Practices: Analyzing and Interpreting Data Construct and interpret graphical displays of data to identify linear and nonlinear relationships.
Crosscutting Concepts: Scale, Proportion, and Quantity Proportional relationships (e.g. speed as the ratio of distance traveled to time taken) among different types of quantities provide information about the magnitude of properties and processes.
California Environmental Principles and Concepts:
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 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.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities. 8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. 8.EE.2: Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. 8.F.3: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS2.A Articulation across grade-bands: 4.PS3.B; HS.PS3.A; HS.PS3.B
Performance Expectation: Construct and interpret graphical displays of data to describe the relationships of kinetic energy to the mass of an object and to the speed of an object. [Clarification Statement: Emphasis is on descriptive relationships between kinetic energy and mass separately from kinetic energy and speed. Examples could include riding a bicycle at different speeds, rolling different sizes of rocks downhill, and getting hit by a whiffle ball versus a tennis ball.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Motion energy is properly called kinetic energy; it is proportional to the mass of the moving object and grows with the square of its speed.
Science & Engineering Practices: Analyzing and Interpreting Data Construct and interpret graphical displays of data to identify linear and nonlinear relationships.
Crosscutting Concepts: Scale, Proportion, and Quantity Proportional relationships (e.g. speed as the ratio of distance traveled to time taken) among different types of quantities provide information about the magnitude of properties and processes.
California Environmental Principles and Concepts:
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 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.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities. 8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. 8.EE.2: Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. 8.F.3: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS2.A Articulation across grade-bands: 4.PS3.B; HS.PS3.A; HS.PS3.B
Standard Identifier: MS-PS3-2
Grade Range:
6–8
Disciplinary Core Idea:
PS3.A: Definitions of Energy, PS3.C: Relationship between Energy and Forces
Cross Cutting Concept:
CCC-4: Systems and Systems Models
Science & Engineering Practice:
SEP-2: Developing and Using Models
Content Area:
Physical Science
Title: MS-PS3 Energy
Performance Expectation: Develop a model to describe that when the arrangement of objects interacting at a distance changes, different amounts of potential energy are stored in the system. [Clarification Statement: Emphasis is on relative amounts of potential energy, not on calculations of potential energy. Examples of objects within systems interacting at varying distances could include: the Earth and either a roller coaster cart at varying positions on a hill or objects at varying heights on shelves, changing the direction/orientation of a magnet, and a balloon with static electrical charge being brought closer to a classmate’s hair. Examples of models could include representations, diagrams, pictures, and written descriptions of systems.] [Assessment Boundary: Assessment is limited to two objects and electric, magnetic, and gravitational interactions.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy A system of objects may also contain stored (potential) energy, depending on their relative positions. PS3.C: Relationship Between Energy and Forces When two objects interact, each one exerts a force on the other that can cause energy to be transferred to or from the object.
Science & Engineering Practices: Developing and Using Models Develop a model to describe unobservable mechanisms.
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.
California Environmental Principles and Concepts:
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 SL.8.5: Integrate multimedia and visual displays into presentations to clarify information, strengthen claims and evidence, and add interest.
DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: HS.PS2.B; HS.PS3.B; HS.PS3.C
Performance Expectation: Develop a model to describe that when the arrangement of objects interacting at a distance changes, different amounts of potential energy are stored in the system. [Clarification Statement: Emphasis is on relative amounts of potential energy, not on calculations of potential energy. Examples of objects within systems interacting at varying distances could include: the Earth and either a roller coaster cart at varying positions on a hill or objects at varying heights on shelves, changing the direction/orientation of a magnet, and a balloon with static electrical charge being brought closer to a classmate’s hair. Examples of models could include representations, diagrams, pictures, and written descriptions of systems.] [Assessment Boundary: Assessment is limited to two objects and electric, magnetic, and gravitational interactions.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy A system of objects may also contain stored (potential) energy, depending on their relative positions. PS3.C: Relationship Between Energy and Forces When two objects interact, each one exerts a force on the other that can cause energy to be transferred to or from the object.
Science & Engineering Practices: Developing and Using Models Develop a model to describe unobservable mechanisms.
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.
California Environmental Principles and Concepts:
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 SL.8.5: Integrate multimedia and visual displays into presentations to clarify information, strengthen claims and evidence, and add interest.
DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: HS.PS2.B; HS.PS3.B; HS.PS3.C
Standard Identifier: MS-PS3-4.
Grade Range:
6–8
Disciplinary Core Idea:
PS3.A: Definitions of Energy, PS3.B: Conservation of Energy and Energy Transfer
Cross Cutting Concept:
CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice:
SEP-3: Planning and Carrying Out Investigations
Content Area:
Physical Science
Title: MS-PS3 Energy
Performance Expectation: Plan an investigation to determine the relationships among the energy transferred, the type of matter, the mass, and the change in the average kinetic energy of the particles as measured by the temperature of the sample. [Clarification Statement: Examples of experiments could include comparing final water temperatures after different masses of ice melted in the same volume of water with the same initial temperature, the temperature change of samples of different materials with the same mass as they cool or heat in the environment, or the same material with different masses when a specific amount of energy is added.] [Assessment Boundary: Assessment does not include calculating the total amount of thermal energy transferred.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Temperature is a measure of the average kinetic energy of particles of matter. The relationship between the temperature and the total energy of a system depends on the types, states, and amounts of matter present. PS3.B: Conservation of Energy and Energy Transfer The amount of energy transfer needed to change the temperature of a matter sample by a given amount depends on the nature of the matter, the size of the sample, and the environment.
Science & Engineering Practices: Planning and Carrying Out Investigations Plan an investigation individually and collaboratively, and in the design: identify independent and dependent variables and controls, what tools are needed to do the gathering, how measurements will be recorded, and how many data are needed to support a claim. 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: Scale, Proportion, and Quantity Proportional relationships (e.g. speed as the ratio of distance traveled to time taken) among different types of quantities provide information about the magnitude of properties and processes.
California Environmental Principles and Concepts:
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 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.SP.5.a-d: Summarize numerical data sets in relation to their context.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS1.A; MS.PS2.A; MS.ESS2.C; MS.ESS2.D; MS.ESS3.D Articulation across grade-bands: 4.PS3.C; HS.PS1.B; HS.PS3.A; HS.PS3.B
Performance Expectation: Plan an investigation to determine the relationships among the energy transferred, the type of matter, the mass, and the change in the average kinetic energy of the particles as measured by the temperature of the sample. [Clarification Statement: Examples of experiments could include comparing final water temperatures after different masses of ice melted in the same volume of water with the same initial temperature, the temperature change of samples of different materials with the same mass as they cool or heat in the environment, or the same material with different masses when a specific amount of energy is added.] [Assessment Boundary: Assessment does not include calculating the total amount of thermal energy transferred.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Temperature is a measure of the average kinetic energy of particles of matter. The relationship between the temperature and the total energy of a system depends on the types, states, and amounts of matter present. PS3.B: Conservation of Energy and Energy Transfer The amount of energy transfer needed to change the temperature of a matter sample by a given amount depends on the nature of the matter, the size of the sample, and the environment.
Science & Engineering Practices: Planning and Carrying Out Investigations Plan an investigation individually and collaboratively, and in the design: identify independent and dependent variables and controls, what tools are needed to do the gathering, how measurements will be recorded, and how many data are needed to support a claim. 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: Scale, Proportion, and Quantity Proportional relationships (e.g. speed as the ratio of distance traveled to time taken) among different types of quantities provide information about the magnitude of properties and processes.
California Environmental Principles and Concepts:
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 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.SP.5.a-d: Summarize numerical data sets in relation to their context.
DCI Connections:
Connections to other DCIs in this grade-band: MS.PS1.A; MS.PS2.A; MS.ESS2.C; MS.ESS2.D; MS.ESS3.D Articulation across grade-bands: 4.PS3.C; HS.PS1.B; HS.PS3.A; HS.PS3.B
Standard Identifier: HS-LS3-3
Grade Range:
9–12
Disciplinary Core Idea:
LS3.B: Variation of Traits
Cross Cutting Concept:
CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice:
SEP-4: Analyzing and Interpreting Data
Content Area:
Life Science
Title: HS-LS3 Heredity: Inheritance and Variation of Traits
Performance Expectation: Apply concepts of statistics and probability to explain the variation and distribution of expressed traits in a population. [Clarification Statement: Emphasis is on the use of mathematics to describe the probability of traits as it relates to genetic and environmental factors in the expression of traits.] [Assessment Boundary: Assessment does not include Hardy-Weinberg calculations.]
Disciplinary Core Idea(s):
LS3.B: Variation of Traits Environmental factors also affect expression of traits, and hence affect the probability of occurrences of traits in a population. Thus the variation and distribution of traits observed depends on both genetic and environmental factors.
Science & Engineering Practices: Analyzing and Interpreting Data Apply concepts of statistics and probability (including determining function fits to data, slope, intercept, and correlation coefficient for linear fits) to scientific and engineering questions and problems, using digital tools when feasible.
Crosscutting Concepts: Scale, Proportion, and Quantity Algebraic thinking is used to examine scientific data and predict the effect of a change in one variable on another (e.g., linear growth vs. exponential growth). Connections to Nature of Science: Science is a Human Endeavor Technological advances have influenced the progress of science and science has influenced advances in technology. Science and engineering are influenced by society and society is influenced by science and engineering.
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:
Mathematics MP.2: Reason abstractly and quantitatively.
DCI Connections:
Connections to other DCIs in this grade-band: HS.LS2.A; HS.LS2.C; HS.LS4.B; HS.LS4.C Articulation across grade-bands: MS.LS2.A; MS.LS3.B; MS.LS4.C
Performance Expectation: Apply concepts of statistics and probability to explain the variation and distribution of expressed traits in a population. [Clarification Statement: Emphasis is on the use of mathematics to describe the probability of traits as it relates to genetic and environmental factors in the expression of traits.] [Assessment Boundary: Assessment does not include Hardy-Weinberg calculations.]
Disciplinary Core Idea(s):
LS3.B: Variation of Traits Environmental factors also affect expression of traits, and hence affect the probability of occurrences of traits in a population. Thus the variation and distribution of traits observed depends on both genetic and environmental factors.
Science & Engineering Practices: Analyzing and Interpreting Data Apply concepts of statistics and probability (including determining function fits to data, slope, intercept, and correlation coefficient for linear fits) to scientific and engineering questions and problems, using digital tools when feasible.
Crosscutting Concepts: Scale, Proportion, and Quantity Algebraic thinking is used to examine scientific data and predict the effect of a change in one variable on another (e.g., linear growth vs. exponential growth). Connections to Nature of Science: Science is a Human Endeavor Technological advances have influenced the progress of science and science has influenced advances in technology. Science and engineering are influenced by society and society is influenced by science and engineering.
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:
Mathematics MP.2: Reason abstractly and quantitatively.
DCI Connections:
Connections to other DCIs in this grade-band: HS.LS2.A; HS.LS2.C; HS.LS4.B; HS.LS4.C Articulation across grade-bands: MS.LS2.A; MS.LS3.B; MS.LS4.C
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
Standard Identifier: HS-PS3-1
Grade Range:
9–12
Disciplinary Core Idea:
PS3.A: Definitions of Energy, PS3.B: Conservation of Energy and Energy Transfer
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-PS3 Energy
Performance Expectation: Create a computational model to calculate the change in the energy of one component in a system when the change in energy of the other component(s) and energy flows in and out of the system are known. [Clarification Statement: Emphasis is on explaining the meaning of mathematical expressions used in the model.] [Assessment Boundary: Assessment is limited to basic algebraic expressions or computations; to systems of two or three components; and to thermal energy, kinetic energy, and/or the energies in gravitational, magnetic, or electric fields.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Energy is a quantitative property of a system that depends on the motion and interactions of matter and radiation within that system. That there is a single quantity called energy is due to the fact that a system’s total energy is conserved, even as, within the system, energy is continually transferred from one object to another and between its various possible forms. PS3.B: Conservation of Energy and Energy Transfer Conservation of energy means that the total change of energy in any system is always equal to the total energy transferred into or out of the system. Energy cannot be created or destroyed, but it can be transported from one place to another and transferred between systems. Mathematical expressions, which quantify how the stored energy in a system depends on its configuration (e.g. relative positions of charged particles, compression of a spring) and how kinetic energy depends on mass and speed, allow the concept of conservation of energy to be used to predict and describe system behavior. The availability of energy limits what can occur in any system.
Science & Engineering Practices: Using Mathematics and Computational Thinking Create a computational model or simulation of a phenomenon, designed device, process, or system.
Crosscutting Concepts: Systems and System Models Models can be used to predict the behavior of a system, but these predictions have limited precision and reliability due to the assumptions and approximations inherent in models. 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:
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.2: Reason abstractly and quantitatively. 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.PS1.B; HS.LS2.B; HS.ESS1.A; HS.ESS2.A Articulation across grade-bands: MS.PS3.A; MS.PS3.B; MS.ESS2.A
Performance Expectation: Create a computational model to calculate the change in the energy of one component in a system when the change in energy of the other component(s) and energy flows in and out of the system are known. [Clarification Statement: Emphasis is on explaining the meaning of mathematical expressions used in the model.] [Assessment Boundary: Assessment is limited to basic algebraic expressions or computations; to systems of two or three components; and to thermal energy, kinetic energy, and/or the energies in gravitational, magnetic, or electric fields.]
Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Energy is a quantitative property of a system that depends on the motion and interactions of matter and radiation within that system. That there is a single quantity called energy is due to the fact that a system’s total energy is conserved, even as, within the system, energy is continually transferred from one object to another and between its various possible forms. PS3.B: Conservation of Energy and Energy Transfer Conservation of energy means that the total change of energy in any system is always equal to the total energy transferred into or out of the system. Energy cannot be created or destroyed, but it can be transported from one place to another and transferred between systems. Mathematical expressions, which quantify how the stored energy in a system depends on its configuration (e.g. relative positions of charged particles, compression of a spring) and how kinetic energy depends on mass and speed, allow the concept of conservation of energy to be used to predict and describe system behavior. The availability of energy limits what can occur in any system.
Science & Engineering Practices: Using Mathematics and Computational Thinking Create a computational model or simulation of a phenomenon, designed device, process, or system.
Crosscutting Concepts: Systems and System Models Models can be used to predict the behavior of a system, but these predictions have limited precision and reliability due to the assumptions and approximations inherent in models. 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:
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.2: Reason abstractly and quantitatively. 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.PS1.B; HS.LS2.B; HS.ESS1.A; HS.ESS2.A Articulation across grade-bands: MS.PS3.A; MS.PS3.B; MS.ESS2.A
Questions: Curriculum Frameworks and Instructional Resources Division |
CFIRD@cde.ca.gov | 916-319-0881