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Standard Identifier: 4-PS3-3

Grade: 4
Disciplinary Core Idea: PS3.A: Definitions of Energy, PS3.B: Conservation of Energy and Energy Transfer, PS3.C: Relationship between Energy and Forces
Cross Cutting Concept: CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice: SEP-1: Asking Questions and Defining Problems
Content Area: Physical Science

Title: 4-PS3 Energy

Performance Expectation: Ask questions and predict outcomes about the changes in energy that occur when objects collide. [Clarification Statement: Emphasis is on the change in the energy due to the change in speed, not on the forces, as objects interact.] [Assessment Boundary: Assessment does not include quantitative measurements of energy.]

Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Energy can be moved from place to place by moving objects or through sound, light, or electric currents. PS3.B: Conservation of Energy and Energy Transfer Energy is present whenever there are moving objects, sound, light, or heat. When objects collide, energy can be transferred from one object to another, thereby changing their motion. In such collisions, some energy is typically also transferred to the surrounding air; as a result, the air gets heated and sound is produced. PS3.C: Relationship Between Energy and Forces When objects collide, the contact forces transfer energy so as to change the objects’ motions.

Science & Engineering Practices: Asking Questions and Defining Problems Ask questions that can be investigated and predict reasonable outcomes based on patterns such as cause and effect relationships.

Crosscutting Concepts: Energy and Matter Energy can be transferred in various ways and between objects.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy W.4.7: Conduct short research projects that build knowledge through investigation of different aspects of a topic. W.4.8: Recall relevant information from experiences or gather relevant information from print and digital sources; take notes, paraphrase, and categorize information, and provide a list of sources.

DCI Connections:
Connections to other DCIs in fourth grade: N/A Articulation across grade-levels: K.PS2.B; 3.PS2.A; MS.PS2.A; MS.PS3.A; MS.PS3.B; MS.PS3.C

Standard Identifier: 4-PS3-4

Grade: 4
Disciplinary Core Idea: PS3.B: Conservation of Energy and Energy Transfer, PS3.D: Energy in Chemical Processes, ETS1.A: Defining and Delimiting Engineering Problems
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Physical Science

Title: 4-PS3 Energy

Performance Expectation: Apply scientific ideas to design, test, and refine a device that converts energy from one form to another.* [Clarification Statement: Examples of devices could include electric circuits that convert electrical energy into motion energy of a vehicle, light, or sound; and, a passive solar heater that converts light into heat. Examples of constraints could include the materials, cost, or time to design the device.] [Assessment Boundary: Devices should be limited to those that convert motion energy to electric energy or use stored energy to cause motion or produce light or sound.]

Disciplinary Core Idea(s):
PS3.B: Conservation of Energy and Energy Transfer Energy can also be transferred from place to place by electric currents, which can then be used locally to produce motion, sound, heat, or light. The currents may have been produced to begin with by transforming the energy of motion into electrical energy. PS3.D: Energy in Chemical Processes The expression “produce energy” typically refers to the conversion of stored energy into a desired form for practical use. ETS1.A: Defining and Delimiting Engineering Problems Possible solutions to a problem are limited by available materials and resources (constraints). The success of a designed solution is determined by considering the desired features of a solution (criteria). Different proposals for solutions can be compared on the basis of how well each one meets the specified criteria for success or how well each takes the constraints into account. (secondary to 4-PS3-4)

Science & Engineering Practices: Constructing Explanations and Designing Solutions Apply scientific ideas to solve design problems.

Crosscutting Concepts: Energy and Matter Energy can be transferred in various ways and between objects. Connections to Engineering, Technology, and Applications of Science: Influence of Science, Engineering and Technology on Society and the Natural World Engineers improve existing technologies or develop new ones. Connections to Nature of Science: Science is a Human Endeavor Most scientists and engineers work in teams. Science affects everyday life.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy W.4.7: Conduct short research projects that build knowledge through investigation of different aspects of a topic. W.4.8: Recall relevant information from experiences or gather relevant information from print and digital sources; take notes, paraphrase, and categorize information, and provide a list of sources. Mathematics 4.OA.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

DCI Connections:
Connections to other DCIs in fourth grade: N/A Articulation across grade-levels: K.ETS1.A; 2.ETS1.B; 5.PS3.D; 5.LS1.C; MS.PS3.A; MS.PS3.B; MS.ETS1.B; MS.ETS1.C

Standard Identifier: 4-PS4-2

Grade: 4
Disciplinary Core Idea: PS4.B: Electromagnetic Radiation
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Physical Science

Title: 4-PS4 Waves and Their Applications in Technologies for Information Transfer

Performance Expectation: Develop a model to describe that light reflecting from objects and entering the eye allows objects to be seen. [Assessment Boundary: Assessment does not include knowledge of specific colors reflected and seen, the cellular mechanisms of vision, or how the retina works.]

Disciplinary Core Idea(s):
PS4.B: Electromagnetic Radiation An object can be seen when light reflected from its surface enters the eyes.

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

Crosscutting Concepts: Cause and Effect Cause and effect relationships are routinely identified.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy SL.4.5: Add audio recordings and visual displays to presentations when appropriate to enhance the development of main ideas or themes. Mathematics MP.4: Model with mathematics. 4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

DCI Connections:
Connections to other DCIs in fourth grade: N/A Articulation across grade-levels: 1.PS4.B; MS.PS4.B; MS.LS1.D

Standard Identifier: 5-LS2-1

Grade: 5
Disciplinary Core Idea: LS2.A: Interdependent Relationships in Ecosystems, LS2.B: Cycles of Matter and Energy Transfer in Ecosystems
Cross Cutting Concept: CCC-4: Systems and Systems Models
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Life Science

Title: 5-LS2 Ecosystems: Interactions, Energy, and Dynamics

Performance Expectation: Develop a model to describe the movement of matter among plants, animals, decomposers, and the environment. [Clarification Statement: Emphasis is on the idea that matter that is not food (air, water, decomposed materials in soil) is changed by plants into matter that is food. Examples of systems could include organisms, ecosystems, and the Earth.] [Assessment Boundary: Assessment does not include molecular explanations.]

Disciplinary Core Idea(s):
LS2.A: Interdependent Relationships in Ecosystems The food of almost any kind of animal can be traced back to plants. Organisms are related in food webs in which some animals eat plants for food and other animals eat the animals that eat plants. Some organisms, such as fungi and bacteria, break down dead organisms (both plants or plants parts and animals) and therefore operate as “decomposers.” Decomposition eventually restores (recycles) some materials back to the soil. Organisms can survive only in environments in which their particular needs are met. A healthy ecosystem is one in which multiple species of different types are each able to meet their needs in a relatively stable web of life. Newly introduced species can damage the balance of an ecosystem. LS2.B: Cycles of Matter and Energy Transfer in Ecosystems Matter cycles between the air and soil and among plants, animals, and microbes as these organisms live and die. Organisms obtain gases, and water, from the environment, and release waste matter (gas, liquid, or solid) back into the environment.

Science & Engineering Practices: Developing and Using Models Develop a model to describe phenomena. Connections to Nature of Science: Science Models, Laws, Mechanisms, and Theories Explain Natural Phenomena Science explanations describe the mechanisms for natural events.

Crosscutting Concepts: Systems and System Models A system can be described in terms of its components and their interactions.

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 RI.5.7: Draw on information from multiple print or digital sources, demonstrating the ability to locate an answer to a question quickly or to solve a problem efficiently. SL.5.5: Include multimedia components (e.g., graphics, sound) and visual displays in presentations when appropriate to enhance the development of main ideas or themes. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics.

DCI Connections:
Connections to other DCIs in fifth grade: 5.PS1.A; 5.ESS2.A Articulation across grade-levels: 2.PS1.A; 2.LS4.D; 4.ESS2.E; MS.LS1.C; MS.LS2.A; MS.LS2.B; MS.PS3.D

Standard Identifier: 5-PS3-1

Grade: 5
Disciplinary Core Idea: PS3.D: Energy in Chemical Processes, LS1.C: Organization for Matter and Energy Flow in Organisms
Cross Cutting Concept: CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Physical Science

Title: 5-PS3 Energy

Performance Expectation: Use models to describe that energy in animals’ food (used for body repair, growth, and motion, and to maintain body warmth) was once energy from the sun. [Clarification Statement: Examples of models could include diagrams, and flow charts.]

Disciplinary Core Idea(s):
PS3.D: Energy in Chemical Processes The energy released [from] food was once energy from the sun that was captured by plants in the chemical process that forms plant matter (from air and water). LS1.C: Organization for Matter and Energy Flow in Organisms Food provides animals with the materials they need for body repair and growth and the energy they need to maintain body warmth and for motion. (secondary to 5-PS3-1)

Science & Engineering Practices: Developing and Using Models Use models to describe phenomena.

Crosscutting Concepts: Energy and Matter Energy can be transferred in various ways and between objects.

California Environmental Principles and Concepts:
Principle I The continuation and health of individual human lives and of human communities and societies depend on the health of the natural systems that provide essential goods and ecosystem services. 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 RI.5.7: Draw on information from multiple print or digital sources, demonstrating the ability to locate an answer to a question quickly or to solve a problem efficiently. SL.5.5: Include multimedia components (e.g., graphics, sound) and visual displays in presentations when appropriate to enhance the development of main ideas or themes.

DCI Connections:
Connections to other DCIs in fifth grade: N/A Articulation across grade-levels: K.LS1.C; 2.LS2.A; 4.PS3.A; 4.PS3.B; 4.PS3.D; MS.PS3.D; MS.PS4.B; MS.LS1.C; MS.LS2.B

Standard Identifier: MS-LS1-6

Grade Range: 6–8
Disciplinary Core Idea: LS1.C: Organization for Matter and Energy Flow in Organisms, PS3.D: Energy in Chemical Processes
Cross Cutting Concept: CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Life Science

Title: MS-LS1 From Molecules to Organisms: Structures and Processes

Performance Expectation: Construct a scientific explanation based on evidence for the role of photosynthesis in the cycling of matter and flow of energy into and out of organisms. [Clarification Statement: Emphasis is on tracing movement of matter and flow of energy.] [Assessment Boundary: Assessment does not include the biochemical mechanisms of photosynthesis.]

Disciplinary Core Idea(s):
LS1.C: Organization for Matter and Energy Flow in Organisms Plants, algae (including phytoplankton), and many microorganisms use the energy from light to make sugars (food) from carbon dioxide from the atmosphere and water through the process of photosynthesis, which also releases oxygen. These sugars can be used immediately or stored for growth or later use. PS3.D: Energy in Chemical Processes The chemical reaction by which plants produce complex food molecules (sugars) requires an energy input (i.e., from sunlight) to occur. In this reaction, carbon dioxide and water combine to form carbon-based organic molecules and release oxygen. (secondary to MS-LS1-6)

Science & Engineering Practices: Constructing Explanations and Designing Solutions Construct a scientific explanation based on valid and reliable evidence obtained from sources (including the students’ own experiments) and the assumption that theories and laws that describe the natural world operate today as they did in the past and will continue to do so in the future. Connections to Nature of Science: Scientific Knowledge is Based on Empirical Evidence Science knowledge is based upon logical connections between evidence and explanations.

Crosscutting Concepts: Energy and Matter Within a natural system, the transfer of energy drives the motion and/or cycling of matter.

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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts. RST.6-8.2: Determine the central ideas or conclusions of a text; provide an accurate summary of the text distinct from prior knowledge or opinions. WHST.6–8.2.a–f: Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes. WHST.6-8.9: Draw evidence from informational texts to support analysis, reflection, and research. Mathematics 6.EE.9: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

DCI Connections:
Connections to other DCIs in this grade-band: MS.PS1.B; MS.ESS2.A Articulation across grade-bands: 5.PS3.D; 5.LS1.C; 5.LS2.A; 5.LS2.B; HS.PS1.B; HS.LS1.C; HS.LS2.B; HS.ESS2.D

Standard Identifier: MS-LS1-7

Grade Range: 6–8
Disciplinary Core Idea: LS1.C: Organization for Matter and Energy Flow in Organisms, PS3.D: Energy in Chemical Processes
Cross Cutting Concept: CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Life Science

Title: MS-LS1 From Molecules to Organisms: Structures and Processes

Performance Expectation: Develop a model to describe how food is rearranged through chemical reactions forming new molecules that support growth and/or release energy as this matter moves through an organism. [Clarification Statement: Emphasis is on describing that molecules are broken apart and put back together and that in this process, energy is released.] [Assessment Boundary: Assessment does not include details of the chemical reactions for photosynthesis or respiration.]

Disciplinary Core Idea(s):
LS1.C: Organization for Matter and Energy Flow in Organisms Within individual organisms, food moves through a series of chemical reactions in which it is broken down and rearranged to form new molecules, to support growth, or to release energy. PS3.D: Energy in Chemical Processes Cellular respiration in plants and animals involve chemical reactions with oxygen that release stored energy. In these processes, complex molecules containing carbon react with oxygen to produce carbon dioxide and other materials. (secondary to MS-LS1-6)

Science & Engineering Practices: Developing and Using Models Develop a model to describe unobservable mechanisms.

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. 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: MS.PS1.B Articulation across grade-bands: 5.PS3.D; 5.LS1.C; 5.LS2.B; HS.PS1.B; HS.LS1.C; HS.LS2.B

Standard Identifier: MS-LS2-3

Grade Range: 6–8
Disciplinary Core Idea: LS2.B: Cycles of Matter and Energy Transfer in Ecosystems
Cross Cutting Concept: CCC-5: Energy and Matter: Flows, Cycles, and Conservation
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Life Science

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

Performance Expectation: Develop a model to describe the cycling of matter and flow of energy among living and nonliving parts of an ecosystem. [Clarification Statement: Emphasis is on describing the conservation of matter and flow of energy into and out of various ecosystems, and on defining the boundaries of the system.] [Assessment Boundary: Assessment does not include the use of chemical reactions to describe the processes.]

Disciplinary Core Idea(s):
LS2.B: Cycles of Matter and Energy Transfer in Ecosystems Food webs are models that demonstrate how matter and energy is transferred between producers, consumers, and decomposers as the three groups interact within an ecosystem. Transfers of matter into and out of the physical environment occur at every level. Decomposers recycle nutrients from dead plant or animal matter back to the soil in terrestrial environments or to the water in aquatic environments. The atoms that make up the organisms in an ecosystem are cycled repeatedly between the living and nonliving parts of the ecosystem.

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

Crosscutting Concepts: Energy and Matter The transfer of energy can be tracked as energy flows through a natural system. 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:
Principle I The continuation and health of individual human lives and of human communities and societies depend on the health of the natural systems that provide essential goods and ecosystem services. Principle II The long-term functioning and health of terrestrial, freshwater, coastal, and marine ecosystems are influenced by their relationships with human societies. 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. Principle V Decisions affecting resources and natural systems are based on a wide range of considerations 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 6.EE.9: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

DCI Connections:
Connections to other DCIs in this grade-band: MS.PS1.B Articulation across grade-bands: 5.LS2.A; 5.LS2.B; HS.PS3.B; HS.LS1.C; HS.LS2.B; HS.ESS2.A

Standard Identifier: MS-PS1-4

Grade Range: 6–8
Disciplinary Core Idea: PS1.A: Structure and Properties of Matter, PS3.A: Definitions of Energy
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Physical Science

Title: MS-PS1 Matter and Its Interactions

Performance Expectation: Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed. [Clarification Statement: Emphasis is on qualitative molecular-level models of solids, liquids, and gases to show that adding or removing thermal energy increases or decreases kinetic energy of the particles until a change of state occurs. Examples of models could include drawings and diagrams. Examples of particles could include molecules or inert atoms. Examples of pure substances could include water, carbon dioxide, and helium.]

Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Gases and liquids are made of molecules or inert atoms that are moving about relative to each other. In a liquid, the molecules are constantly in contact with others; in a gas, they are widely spaced except when they happen to collide. In a solid, atoms are closely spaced and may vibrate in position but do not change relative locations. The changes of state that occur with variations in temperature or pressure can be described and predicted using these models of matter. PS3.A: Definitions of Energy The term “heat” as used in everyday language refers both to thermal energy (the motion of atoms or molecules within a substance) and the transfer of that thermal energy from one object to another. In science, heat is used only for this second meaning; it refers to the energy transferred due to the temperature difference between two objects. (secondary to MS-PS1-4) The temperature of a system is proportional to the average internal kinetic energy and potential energy per atom or molecule (whichever is the appropriate building block for the system’s material). The details of that relationship depend on the type of atom or molecule and the interactions among the atoms in the material. Temperature is not a direct measure of a system's total thermal energy. The total thermal energy (sometimes called the total internal energy) of a system depends jointly on the temperature, the total number of atoms in the system, and the state of the material. (secondary to MS-PS1-4)

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

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:
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 6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

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

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

Showing 11 - 20 of 44 Standards


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