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-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: 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

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

Title: HS-PS4 Waves and Their Applications in Technologies for Information Transfer

Performance Expectation: Use mathematical representations to support a claim regarding relationships among the frequency, wavelength, and speed of waves traveling in various media. [Clarification Statement: Examples of data could include electromagnetic radiation traveling in a vacuum and glass, sound waves traveling through air and water, and seismic waves traveling through the earth.] [Assessment Boundary: Assessment is limited to algebraic relationships and describing those relationships qualitatively.]

Disciplinary Core Idea(s):
PS4.A: Wave Properties The wavelength and frequency of a wave are related to one another by the speed of travel of the wave, which depends on the type of wave and the medium through which it is passing.

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

Crosscutting Concepts: Cause and Effect Empirical evidence is required to differentiate between cause and correlation and make claims about specific causes and effects.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy RST.11-12.7: Integrate and evaluate multiple sources of information presented in diverse formats and media (e.g., quantitative data, video, multimedia) in order to address a question or solve a problem. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. A-SSE.1.a-b: Interpret expressions that represent a quantity in terms of its context. A-SSE.3.a-c: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. 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.ESS2.A Articulation across grade-bands: MS.PS4.A; MS.PS4.B

Title: HS-PS4 Waves and Their Applications in Technologies for Information Transfer

Performance Expectation: Evaluate questions about the advantages of using digital transmission and storage of information. [Clarification Statement: Examples of advantages could include that digital information is stable because it can be stored reliably in computer memory, transferred easily, and copied and shared rapidly. Disadvantages could include issues of easy deletion, security, and theft.]

Disciplinary Core Idea(s):
PS4.A: Wave Properties Information can be digitized (e.g., a picture stored as the values of an array of pixels); in this form, it can be stored reliably in computer memory and sent over long distances as a series of wave pulses.

Science & Engineering Practices: Asking Questions and Defining Problems Evaluate questions that challenge the premise(s) of an argument, the interpretation of a data set, or the suitability of a design.

Crosscutting Concepts: Stability and Change Systems can be designed for greater or lesser stability. Connections to Engineering, Technology, and Applications of Science: Influence of Engineering, Technology, and Science on Society and the Natural World Modern civilization depends on major technological systems. Engineers continuously modify these technological systems by applying scientific knowledge and Engineering, Technology, and Applications of Science practices to increase benefits while decreasing costs and risks.

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. RST.9-10.8: Assess the extent to which the reasoning and evidence in a text support the author’s claim or a recommendation for solving a scientific or technical problem. RST.11-12.8: Evaluate the hypotheses, data, analysis, and conclusions in a science or technical text, verifying the data when possible and corroborating or challenging conclusions with other sources of information.

DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: MS.PS4.A; MS.PS4.B; MS.PS4.C