Search the California Content Standards

Title: MS-LS4 Biological Evolution: Unity and Diversity

Performance Expectation: Use mathematical representations to support explanations of how natural selection may lead to increases and decreases of specific traits in populations over time. [Clarification Statement: Emphasis is on using mathematical models, probability statements, and proportional reasoning to support explanations of trends in changes to populations over time.] [Assessment Boundary: Assessment does not include Hardy Weinberg calculations.]

Disciplinary Core Idea(s):
LS4.C: Adaptation Adaptation by natural selection acting over generations is one important process by which species change over time in response to changes in environmental conditions. Traits that support successful survival and reproduction in the new environment become more common; those that do not become less common. Thus, the distribution of traits in a population changes.

Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations to support scientific conclusions and design solutions.

Crosscutting Concepts: Cause and Effect Phenomena may have more than one cause, and some cause and effect relationships in systems can only be described using probability.

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:
Mathematics MP.4: Model with mathematics. 6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.SP.5.a-d: Summarize numerical data sets in relation to their context. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities.

DCI Connections:
Connections to other DCIs in this grade-band: MS.LS2.A; MS.LS2.C; MS.LS3.B; MS.ESS1.C Articulation across grade-bands: 3.LS4.C; HS.LS2.A; HS.LS2.C; HS.LS3.B; HS.LS4.B; HS.LS4.C

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

Title: MS-PS2 Motion and Stability: Forces and Interactions

Performance Expectation: Plan an investigation to provide evidence that the change in an object’s motion depends on the sum of the forces on the object and the mass of the object. [Clarification Statement: Emphasis is on balanced (Newton’s First Law) and unbalanced forces in a system, qualitative comparisons of forces, mass and changes in motion (Newton’s Second Law), frame of reference, and specification of units.] [Assessment Boundary: Assessment is limited to forces and changes in motion in one-dimension in an inertial reference frame and to change in one variable at a time. Assessment does not include the use of trigonometry.]

Disciplinary Core Idea(s):
PS2.A: Forces and Motion The motion of an object is determined by the sum of the forces acting on it; if the total force on the object is not zero, its motion will change. The greater the mass of the object, the greater the force needed to achieve the same change in motion. For any given object, a larger force causes a larger change in motion. All positions of objects and the directions of forces and motions must be described in an arbitrarily chosen reference frame and arbitrarily chosen units of size. In order to share information with other people, these choices must also be shared.

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: Stability and Change Explanations of stability and change in natural or designed systems can be constructed by examining the changes over time and forces at different scales.

California Environmental Principles and Concepts:
N/A

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.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.A; MS.PS3.B; MS.ESS2.C Articulation across grade-bands: 3.PS2.A; HS.PS2.A; HS.PS3.B; HS.ESS1.B

Title: MS-PS2 Motion and Stability: Forces and Interactions

Performance Expectation: Ask questions about data to determine the factors that affect the strength of electric and magnetic forces. [Clarification Statement: Examples of devices that use electric and magnetic forces could include electromagnets, electric motors, or generators. Examples of data could include the effect of the number of turns of wire on the strength of an electromagnet, or the effect of increasing the number or strength of magnets on the speed of an electric motor.] [Assessment Boundary: Assessment about questions that require quantitative answers is limited to proportional reasoning and algebraic thinking.]

Disciplinary Core Idea(s):
PS2.B: Types of Interactions Electric and magnetic (electromagnetic) forces can be attractive or repulsive, and their sizes depend on the magnitudes of the charges, currents, or magnetic strengths involved and on the distances between the interacting objects.

Science & Engineering Practices: Asking Questions and Defining Problems Ask questions that can be investigated within the scope of the classroom, outdoor environment, and museums and other public facilities with available resources and, when appropriate, frame a hypothesis based on observations and scientific principles.

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:
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. Mathematics MP.2: Reason abstractly and quantitatively.

DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: 3.PS2.B; HS.PS2.B

Title: MS-PS2 Motion and Stability: Forces and Interactions

Performance Expectation: Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects. [Clarification Statement: Examples of evidence for arguments could include data generated from simulations or digital tools; and charts displaying mass, strength of interaction, distance from the Sun, and orbital periods of objects within the solar system.] [Assessment Boundary: Assessment does not include Newton’s Law of Gravitation or Kepler’s Laws.]

Disciplinary Core Idea(s):
PS2.B: Types of Interactions Gravitational forces are always attractive. There is a gravitational force between any two masses, but it is very small except when one or both of the objects have large mass—e.g., Earth and the sun.

Science & Engineering Practices: Engaging in Argument from Evidence Construct and present oral and written arguments supported by empirical evidence and scientific reasoning to support or refute an explanation or a model for a phenomenon or a solution to a problem. 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: 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:
N/A

California Common Core State Standards Connections:
ELA/Literacy WHST.6–8.1.a–e: Write arguments focused on discipline-specific content.

DCI Connections:
Connections to other DCIs in this grade-band: MS.ESS1.A ; MS.ESS1.B ; MS.ESS2.C Articulation across grade-bands: 5.PS2.B ; HS.PS2.B ; HS.ESS1.B

Title: MS-PS2 Motion and Stability: Forces and Interactions

Performance Expectation: Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact. [Clarification Statement: Examples of this phenomenon could include the interactions of magnets, electrically-charged strips of tape, and electrically-charged pith balls. Examples of investigations could include first-hand experiences or simulations.] [Assessment Boundary: Assessment is limited to electric and magnetic fields, and limited to qualitative evidence for the existence of fields.]

Disciplinary Core Idea(s):
PS2.B: Types of Interactions Forces that act at a distance (electric, magnetic, and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, a magnet, or a ball, respectively).

Science & Engineering Practices: Planning and Carrying Out Investigations Conduct an investigation and evaluate the experimental design to produce data to serve as the basis for evidence that can meet the goals of the investigation.

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:
N/A

California Common Core State Standards Connections:
ELA/Literacy RST.6-8.3: Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks. WHST.6-8.7: Conduct short research projects to answer a question (including a self-generated question), drawing on several sources and generating additional related, focused questions that allow for multiple avenues of exploration.

DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: 3.PS2.B; HS.PS2.B; HS.PS3.A; HS.PS3.B ; HS.PS3.C

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

Title: HS-ESS2 Earth’s Systems

Performance Expectation: Construct an argument based on evidence about the simultaneous coevolution of Earth’s systems and life on Earth. [Clarification Statement: Emphasis is on the dynamic causes, effects, and feedbacks between the biosphere and Earth’s other systems, whereby geoscience factors control the evolution of life, which in turn continuously alters Earth’s surface. Examples include how photosynthetic life altered the atmosphere through the production of oxygen, which in turn increased weathering rates and allowed for the evolution of animal life; how microbial life on land increased the formation of soil, which in turn allowed for the evolution of land plants; or how the evolution of corals created reefs that altered patterns of erosion and deposition along coastlines and provided habitats for the evolution of new life forms.] [Assessment Boundary: Assessment does not include a comprehensive understanding of the mechanisms of how the biosphere interacts with all of Earth’s other systems.]

Disciplinary Core Idea(s):
ESS2.D: Weather and Climate Gradual atmospheric changes were due to plants and other organisms that captured carbon dioxide and released oxygen. ESS2.E: Biogeology The many dynamic and delicate feedbacks between the biosphere and other Earth systems cause a continual co-evolution of Earth’s surface and the life that exists on it.

Science & Engineering Practices: Engaging in Argument from Evidence Construct an oral and written argument or counter-arguments based on data and evidence.

Crosscutting Concepts: Stability and Change Much of science deals with constructing explanations of how things change and how they remain stable.

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.9-12.1.a-e: Write arguments focused on discipline-specific content.

DCI Connections:
Connections to other DCIs in this grade-band: HS.LS2.A; HS.LS2.C; HS.LS4.A; HS.LS4.B; HS.LS4.C; HS.LS4.D Articulation across grade-bands: MS.LS2.A; MS.LS2.C; MS.LS4.A; MS.LS4.B; MS.LS4.C; MS.ESS1.C; MS.ESS2.A; MS.ESS2.C; MS.ESS3.C

Title: HS-LS2 Ecosystems: Interactions, Energy, and Dynamics

Performance Expectation: Use mathematical and/or computational representations to support explanations of factors that affect carrying capacity of ecosystems at different scales. [Clarification Statement: Emphasis is on quantitative analysis and comparison of the relationships among interdependent factors including boundaries, resources, climate, and competition. Examples of mathematical comparisons could include graphs, charts, histograms, and population changes gathered from simulations or historical data sets.] [Assessment Boundary: Assessment does not include deriving mathematical equations to make comparisons.]

Disciplinary Core Idea(s):
LS2.A: Interdependent Relationships in Ecosystems Ecosystems have carrying capacities, which are limits to the numbers of organisms and populations they can support. These limits result from such factors as the availability of living and nonliving resources and from such challenges such as predation, competition, and disease. Organisms would have the capacity to produce populations of great size were it not for the fact that environments and resources are finite. This fundamental tension affects the abundance (number of individuals) of species in any given ecosystem.

Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical and/or computational representations of phenomena or design solutions to support explanations.

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:
Principle II The long-term functioning and health of terrestrial, freshwater, coastal, and marine ecosystems are influenced by their relationships with human societies. 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.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.9–12.2.a–e: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. 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: N/A Articulation across grade-bands: MS.LS2.A; MS.LS2.C; MS.ESS3.A; MS.ESS3.C

Title: HS-LS2 Ecosystems: Interactions, Energy, and Dynamics

Performance Expectation: Use mathematical representations to support and revise explanations based on evidence about factors affecting biodiversity and populations in ecosystems of different scales. [Clarification Statement: Examples of mathematical representations include finding the average, determining trends, and using graphical comparisons of multiple sets of data.] [Assessment Boundary: Assessment is limited to provided data.]

Disciplinary Core Idea(s):
LS2.A: Interdependent Relationships in Ecosystems Ecosystems have carrying capacities, which are limits to the numbers of organisms and populations they can support. These limits result from such factors as the availability of living and nonliving resources and from such challenges such as predation, competition, and disease. Organisms would have the capacity to produce populations of great size were it not for the fact that environments and resources are finite. This fundamental tension affects the abundance (number of individuals) of species in any given ecosystem. LS2.C: Ecosystem Dynamics, Functioning, and Resilience A complex set of interactions within an ecosystem can keep its numbers and types of organisms relatively constant over long periods of time under stable conditions. If a modest biological or physical disturbance to an ecosystem occurs, it may return to its more or less original status (i.e., the ecosystem is resilient), as opposed to becoming a very different ecosystem. Extreme fluctuations in conditions or the size of any population, however, can challenge the functioning of ecosystems in terms of resources and habitat availability.

Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations of phenomena or design solutions to support and revise explanations. Connections to Nature of Science: Scientific Knowledge is Open to Revision in Light of New Evidence Most scientific knowledge is quite durable, but is, in principle, subject to change based on new evidence and/or reinterpretation of existing evidence.

Crosscutting Concepts: Scale, Proportion, and Quantity Using the concept of orders of magnitude allows one to understand how a model at one scale relates to a model at another scale.

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. 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.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.9–12.2.a–e: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. 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.ESS2.E; HS.ESS3.A; HS.ESS3.C; HS.ESS3.D Articulation across grade-bands: MS.LS2.A; MS.LS2.C; MS.ESS3.C