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Standard Identifier: MS-PS4-1

Grade Range: 6–8
Disciplinary Core Idea: PS4.A: Wave Properties
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-5: Using Mathematics and Computational Thinking
Content Area: Physical Science

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

Performance Expectation: Use mathematical representations to describe a simple model for waves that includes how the amplitude of a wave is related to the energy in a wave. [Clarification Statement: Emphasis is on describing waves with both qualitative and quantitative thinking.] [Assessment Boundary: Assessment does not include electromagnetic waves and is limited to standard repeating waves.]

Disciplinary Core Idea(s):
PS4.A: Wave Properties A simple wave has a repeating pattern with a specific wavelength, frequency, and amplitude.

Science & Engineering Practices: Using Mathematics and Computational Thinking Use mathematical representations to describe and/or support scientific conclusions and design solutions. Connections to Nature of Science: Scientific Knowledge is Based on Empirical Evidence Science knowledge is based upon logical and conceptual connections between evidence and explanations.

Crosscutting Concepts: Patterns Graphs and charts can be used to identify patterns in data.

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.2: Reason abstractly and quantitatively. 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.RP.3.a-d: Use ratio and rate reasoning to solve real-world and mathematical problems. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities. 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: N/A Articulation across grade-bands: 4.PS3.A; 4.PS3.B; 4.PS4.A; HS.PS4.A; HS.PS4.B

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

Standard Identifier: HS-PS4-1

Grade Range: 9–12
Disciplinary Core Idea: PS4.A: Wave Properties
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-5: Using Mathematics and Computational Thinking
Content Area: Physical Science

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

Questions: Curriculum Frameworks and Instructional Resources Division | CFIRD@cde.ca.gov | 916-319-0881