Search the California Content Standards

Title: 5-PS1 Matter and Its Interactions

Performance Expectation: Measure and graph quantities to provide evidence that regardless of the type of change that occurs when heating, cooling, or mixing substances, the total weight of matter is conserved. [Clarification Statement: Examples of reactions or changes could include phase changes, dissolving, and mixing that form new substances.] [Assessment Boundary: Assessment does not include distinguishing mass and weight.]

Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter The amount (weight) of matter is conserved when it changes form, even in transitions in which it seems to vanish. PS1.B: Chemical Reactions No matter what reaction or change in properties occurs, the total weight of the substances does not change. (Boundary: Mass and weight are not distinguished at this grade level.)

Science & Engineering Practices: Using Mathematics and Computational Thinking Measure and graph quantities such as weight to address scientific and engineering questions and problems.

Crosscutting Concepts: Scale, Proportion, and Quantity Standard units are used to measure and describe physical quantities such as weight, time, temperature, and volume. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Science assumes consistent patterns in natural systems.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy W.5.7: Conduct short research projects that use several sources to build knowledge through investigation of different aspects of a topic. W.5.8: Recall relevant information from experiences or gather relevant information from print and digital sources; summarize or paraphrase information in notes and finished work, and provide a list of sources. W.5.9.a-b: Draw evidence from literary or informational texts to support analysis, reflection, and research. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. MP.5: Use appropriate tools strategically. 5.MD.1: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real-world problems.

DCI Connections:
Connections to other DCIs in fifth grade: N/A Articulation across grade-levels: 2.PS1.A; MS.PS1.A

Title: MS-ESS1 Earth’s Place in the Universe

Performance Expectation: Develop and use a model of the Earth-sun-moon system to describe the cyclic patterns of lunar phases, eclipses of the sun and moon, and seasons. [Clarification Statement: Examples of models can be physical, graphical, or conceptual.]

Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars Patterns of the apparent motion of the sun, the moon, and stars in the sky can be observed, described, predicted, and explained with models. ESS1.B: Earth and the Solar System This model of the solar system can explain eclipses of the sun and the moon. Earth’s spin axis is fixed in direction over the short-term but tilted relative to its orbit around the sun. The seasons are a result of that tilt and are caused by the differential intensity of sunlight on different areas of Earth across the year.

Science & Engineering Practices: Developing and Using Models Develop and use a model to describe phenomena.

Crosscutting Concepts: Patterns Patterns can be used to identify cause-and-effect relationships. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Science assumes that objects and events in natural systems occur in consistent patterns that are understandable through measurement and observation.

California Environmental Principles and Concepts:
N/A

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. 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. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities.

DCI Connections:
Connections to other DCIs in this grade-band: MS.PS2.A; MS.PS2.B Articulation across grade-bands: 3.PS2.A; 5.PS2.B; 5.ESS1.B; HS.PS2.A; HS.PS2.B; HS.ESS1.B

Title: MS-ESS1 Earth’s Place in the Universe

Performance Expectation: Develop and use a model to describe the role of gravity in the motions within galaxies and the solar system. [Clarification Statement: Emphasis for the model is on gravity as the force that holds together the solar system and Milky Way galaxy and controls orbital motions within them. Examples of models can be physical (such as the analogy of distance along a football field or computer visualizations of elliptical orbits) or conceptual (such as mathematical proportions relative to the size of familiar objects such as students’ school or state).] [Assessment Boundary: Assessment does not include Kepler’s Laws of orbital motion or the apparent retrograde motion of the planets as viewed from Earth.]

Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars Earth and its solar system are part of the Milky Way galaxy, which is one of many galaxies in the universe. ESS1.B: Earth and the Solar System The solar system consists of the sun and a collection of objects, including planets, their moons, and asteroids that are held in orbit around the sun by its gravitational pull on them. The solar system appears to have formed from a disk of dust and gas, drawn together by gravity.

Science & Engineering Practices: Developing and Using Models Develop and use a model to describe phenomena.

Crosscutting Concepts: Systems and System Models Models can be used to represent systems and their interactions. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Science assumes that objects and events in natural systems occur in consistent patterns that are understandable through measurement and observation.

California Environmental Principles and Concepts:
N/A

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. 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. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities. 6.EE.6: Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. 7.EE.4.a-d: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

DCI Connections:
Connections to other DCIs in this grade-band: MS.PS2.A; MS.PS2.B; Articulation across grade-bands: 3.PS2.A; 5.PS2.B; 5.ESS1.A; 5.ESS1.B; HS.PS2.A; HS.PS2.B; HS.ESS1.A; HS.ESS1.B

Title: MS-ETS1 Engineering, Technology, and Applications of Science

Performance Expectation: Develop a model to generate data for iterative testing and modification of a proposed object, tool, or process such that an optimal design can be achieved.

Disciplinary Core Idea(s):
ETS1.B: Developing Possible Solutions A solution needs to be tested, and then modified on the basis of the test results, in order to improve it. Models of all kinds are important for testing solutions. ETS1.C: Optimizing the Design Solution The iterative process of testing the most promising solutions and modifying what is proposed on the basis of the test results leads to greater refinement and ultimately to an optimal solution.

Science & Engineering Practices: Developing and Using Models Develop a model to generate data to test ideas about designed systems, including those representing inputs and outputs.

Crosscutting Concepts: N/A

California Environmental Principles and Concepts:
Principle V Decisions affecting resources and natural systems are based on a wide range of consideration and decision-making processes.

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. Mathematics MP.2: Reason abstractly and quantitatively.

DCI Connections:
Connections to MS-ETS1.B: Developing Possible Solutions Problems include: Physical Science: MS-PS1-6; MS-PS3-3 Life Science: MS-LS2-5 Connections to MS-ETS1.C: Optimizing the Design Solution include: Physical Science: MS-PS1-6 Articulation across grade-bands: 3-5.ETS1.B; 3-5.ETS1.C; HS.ETS1.B; HS.ETS1.C

Title: MS-PS1 Matter and Its Interactions

Performance Expectation: Develop and use a model to describe how the total number of atoms does not change in a chemical reaction and thus mass is conserved. [Clarification Statement: Emphasis is on law of conservation of matter and on physical models or drawings, including digital forms, that represent atoms.] [Assessment Boundary: Assessment does not include the use of atomic masses, balancing symbolic equations, or intermolecular forces.]

Disciplinary Core Idea(s):
PS1.B: Chemical Reactions Substances react chemically in characteristic ways. In a chemical process, the atoms that make up the original substances are regrouped into different molecules, and these new substances have different properties from those of the reactants. The total number of each type of atom is conserved, and thus the mass does not change.

Science & Engineering Practices: Developing and Using Models Develop a model to describe unobservable mechanisms. Connections to Nature of Science: Science Models, Laws, Mechanisms, and Theories Explain Natural Phenomena Laws are regularities or mathematical descriptions of natural phenomena.

Crosscutting Concepts: Energy and Matter Matter is conserved because atoms are conserved in physical and chemical processes.

California Environmental Principles and Concepts:
Principle II The long-term functioning and health of terrestrial, freshwater, coastal, and marine ecosystems are influenced by their relationships with human societies.

California Common Core State Standards Connections:
ELA/Literacy RST.6-8.7: Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., in a flowchart, diagram, model, graph, or table). Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems.

DCI Connections:
Connections to other DCIs in this grade-band: MS.LS1.C; MS.LS2.B; MS.ESS2.A Articulation across grade-bands: 5.PS1.B; HS.PS1.B

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

Title: HS-PS1 Matter and Its Interactions

Performance Expectation: Develop a model to illustrate that the release or absorption of energy from a chemical reaction system depends upon the changes in total bond energy. [Clarification Statement: Emphasis is on the idea that a chemical reaction is a system that affects the energy change. Examples of models could include molecular-level drawings and diagrams of reactions, graphs showing the relative energies of reactants and products, and representations showing energy is conserved.] [Assessment Boundary: Assessment does not include calculating the total bond energy changes during a chemical reaction from the bond energies of reactants and products.]

Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter A stable molecule has less energy than the same set of atoms separated; one must provide at least this energy in order to take the molecule apart. PS1.B: Chemical Reactions Chemical processes, their rates, and whether or not energy is stored or released can be understood in terms of the collisions of molecules and the rearrangements of atoms into new molecules, with consequent changes in the sum of all bond energies in the set of molecules that are matched by changes in kinetic energy.

Science & Engineering Practices: Developing and Using Models Develop a model based on evidence to illustrate the relationships between systems or between components of a system.

Crosscutting Concepts: Energy and Matter Changes of energy and matter in a system can be described in terms of energy and matter flows into, out of, and within that system.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy SL.11-12.5: Make strategic use of digital media (e.g., textual, graphical, audio, visual, and interactive elements) in presentations to enhance understanding of findings, reasoning, and evidence and to add interest. Mathematics MP.4: Model with mathematics. N-Q.1-3: Reason quantitatively and use units to solve problems.

DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.A; HS.PS3.B; HS.PS3.D; HS.LS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.PS2.B; MS.PS3.D; MS.LS1.C

Title: HS-PS1 Matter and Its Interactions

Performance Expectation: Use mathematical representations to support the claim that atoms, and therefore mass, are conserved during a chemical reaction. [Clarification Statement: Emphasis is on using mathematical ideas to communicate the proportional relationships between masses of atoms in the reactants and the products, and the translation of these relationships to the macroscopic scale using the mole as the conversion from the atomic to the macroscopic scale. Emphasis is on assessing students’ use of mathematical thinking and not on memorization and rote application of problem-solving techniques.] [Assessment Boundary: Assessment does not include complex chemical reactions.]

Disciplinary Core Idea(s):
PS1.B: Chemical Reactions The fact that atoms are conserved, together with knowledge of the chemical properties of the elements involved, can be used to describe and predict chemical reactions.

Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations of phenomena to support claims.

Crosscutting Concepts: Energy and Matter The total amount of energy and matter in closed systems is conserved. Connections to Nature of Science: Scientific Knowledge Assumes an Order and Consistency in Natural Systems Science assumes the universe is a vast single system in which basic laws are consistent.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
Mathematics MP.2: Reason abstractly and quantitatively. N-Q.1-3: Reason quantitatively and use units to solve problems.

DCI Connections:
Connections to other DCIs in this grade-band: HS.PS3.B; HS.LS1.C Articulation across grade-bands: MS.PS1.A; MS.PS1.B; MS.LS1.C; MS.LS2.B; MS.ESS2.A

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