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Standard Identifier: MS-ESS2-3

Grade Range: 6–8
Disciplinary Core Idea: ESS1.C: The History of Planet Earth, ESS2.B: Plate Tectonics and Large-Scale System Interactions
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Earth and Space Science

Title: MS-ESS2 Earth’s Systems

Performance Expectation: Analyze and interpret data on the distribution of fossils and rocks, continental shapes, and seafloor structures to provide evidence of the past plate motions. [Clarification Statement: Examples of data include similarities of rock and fossil types on different continents, the shapes of the continents (including continental shelves), and the locations of ocean structures (such as ridges, fracture zones, and trenches).] [Assessment Boundary: Paleomagnetic anomalies in oceanic and continental crust are not assessed.]

Disciplinary Core Idea(s):
ESS1.C: The History of Planet Earth Tectonic processes continually generate new ocean sea floor at ridges and destroy old sea floor at trenches. (HS.ESS1.C GBE) (secondary to MS-ESS2-3) ESS2.B: Plate Tectonics and Large-Scale System Interactions Maps of ancient land and water patterns, based on investigations of rocks and fossils, make clear how Earth’s plates have moved great distances, collided, and spread apart.

Science & Engineering Practices: Analyzing and Interpreting Data Analyze and interpret data to provide evidence for phenomena. Connections to Nature of Science: Scientific Knowledge is Open to Revision in Light of New Evidence Science findings are frequently revised and/or reinterpreted based on new evidence.

Crosscutting Concepts: Patterns Patterns in rates of change and other numerical relationships can provide information about natural systems.

California Environmental Principles and Concepts:
Principle III Natural systems proceed through cycles that humans depend upon, benefit from, and can alter.

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.6-8.7: 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). RST.6-8.9: Compare and contrast the information gained from experiments, simulations, video, or multimedia sources with that gained from reading a text on the same topic. Mathematics MP.2: Reason abstractly and quantitatively. 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-b: 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.LS4.A Articulation across grade-bands: 3.LS4.A; 3.ESS3.B; 4.ESS1.C; 4.ESS2.B; 4.ESS3.B; HS.LS4.A; HS.LS4.C; HS.ESS1.C; HS.ESS2.A; HS.ESS2.B

Standard Identifier: MS-ESS3-2

Grade Range: 6–8
Disciplinary Core Idea: ESS3.B: Natural Hazards
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Earth and Space Science

Title: MS-ESS3 Earth and Human Activity

Performance Expectation: Analyze and interpret data on natural hazards to forecast future catastrophic events and inform the development of technologies to mitigate their effects. [Clarification Statement: Emphasis is on how some natural hazards, such as volcanic eruptions and severe weather, are preceded by phenomena that allow for reliable predictions, but others, such as earthquakes, occur suddenly and with no notice, and thus are not yet predictable. Examples of natural hazards can be taken from interior processes (such as earthquakes and volcanic eruptions), surface processes (such as mass wasting and tsunamis), or severe weather events (such as hurricanes, tornadoes, and floods). Examples of data can include the locations, magnitudes, and frequencies of the natural hazards. Examples of technologies can be global (such as satellite systems to monitor hurricanes or forest fires) or local (such as building basements in tornado-prone regions or reservoirs to mitigate droughts).]

Disciplinary Core Idea(s):
ESS3.B: Natural Hazards Mapping the history of natural hazards in a region, combined with an understanding of related geologic forces can help forecast the locations and likelihoods of future events.

Science & Engineering Practices: Analyzing and Interpreting Data Analyze and interpret data to determine similarities and differences in findings.

Crosscutting Concepts: Patterns Graphs, charts, and images can be used to identify patterns in data. 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. Thus technology use varies from region to region and over time.

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 RST.6-8.1: Cite specific textual evidence to support analysis of science and technical texts. 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. 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-b: 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.PS3.C Articulation across grade-bands: 3.ESS3.B; 4.ESS3.B; HS.ESS2.B; HS.ESS2.D; HS.ESS3.B; HS.ESS3.D

Standard Identifier: MS-LS1-1

Grade Range: 6–8
Disciplinary Core Idea: LS1.A: Structure and Function
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-3: Planning and Carrying Out Investigations
Content Area: Life Science

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

Performance Expectation: Conduct an investigation to provide evidence that living things are made of cells; either one cell or many different numbers and types of cells. [Clarification Statement: Emphasis is on developing evidence that living things are made of cells, distinguishing between living and non-living things, and understanding that living things may be made of one cell or many and varied cells. Viruses, while not cells, have features that are both common with, and distinct from, cellular life.]

Disciplinary Core Idea(s):
LS1.A: Structure and Function All living things are made up of cells, which is the smallest unit that can be said to be alive. An organism may consist of one single cell (unicellular) or many different numbers and types of cells (multicellular).

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

Crosscutting Concepts: Scale, Proportion, and Quantity Phenomena that can be observed at one scale may not be observable at another scale. Connections to Engineering, Technology and Applications of Science: Interdependence of Science, Engineering, and Technology Engineering advances have led to important discoveries in virtually every field of science, and scientific discoveries have led to the development of entire industries and engineered 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. 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.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 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: N/A Articulation across grade-bands: HS.LS1.A

Standard Identifier: MS-LS2-2

Grade Range: 6–8
Disciplinary Core Idea: LS2.A: Interdependent Relationships in Ecosystems
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Life Science

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

Performance Expectation: Construct an explanation that predicts patterns of interactions among organisms across multiple ecosystems. [Clarification Statement: Emphasis is on predicting consistent patterns of interactions in different ecosystems in terms of the relationships among and between organisms and abiotic components of ecosystems. Examples of types of interactions could include competitive, predatory, and mutually beneficial.]

Disciplinary Core Idea(s):
LS2.A: Interdependent Relationships in Ecosystems Similarly, predatory interactions may reduce the number of organisms or eliminate whole populations of organisms. Mutually beneficial interactions, in contrast, may become so interdependent that each organism requires the other for survival. Although the species involved in these competitive, predatory, and mutually beneficial interactions vary across ecosystems, the patterns of interactions of organisms with their environments, both living and nonliving, are shared.

Science & Engineering Practices: Constructing Explanations and Designing Solutions Construct an explanation that includes qualitative or quantitative relationships between variables that predict phenomena.

Crosscutting Concepts: Patterns Patterns can be used to identify cause and effect relationships.

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 RST.6-8.1: Cite specific textual evidence to support analysis of science and technical texts. WHST.6-8.2: Write informative/explanatory texts to examine a topic and convey ideas, concepts, and information through the selection, organization, and analysis of relevant content. 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 literary or informational texts to support analysis, reflection, and research. SL.8.1.a–d: Engage effectively in a range of collaborative discussions (one-on-one, in groups, and teacher-led) with diverse partners on grade 8 topics, texts, and issues, building on others’ ideas and expressing their own clearly. SL.8.4: Present claims and findings (e.g., argument, narrative, response to literature presentations), emphasizing salient points in a focused, coherent manner with relevant evidence, sound valid reasoning, and well-chosen details; use appropriate eye contact, adequate volume, and clear pronunciation. a. Plan and present a narrative that: establishes a context and point of view, presents a logical sequence, uses narrative techniques (e.g., dialogue, pacing, description, sensory language), uses a variety of transitions, and provides a conclusion that reflects the experience. Mathematics 6.SP.5.a-d: Summarize numerical data sets in relation to their context.

DCI Connections:
Connections to other DCIs in this grade-band: MS.LS1.B Articulation across grade-bands: 1.LS1.B; HS.LS2.A; HS.LS2.B; HS.LS2.D

Standard Identifier: MS-LS4-1

Grade Range: 6–8
Disciplinary Core Idea: LS4.A: Evidence of Common Ancestry and Diversity
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Life Science

Title: MS-LS4 Biological Evolution: Unity and Diversity

Performance Expectation: Analyze and interpret data for patterns in the fossil record that document the existence, diversity, extinction, and change of life forms throughout the history of life on Earth under the assumption that natural laws operate today as in the past. [Clarification Statement: Emphasis is on finding patterns of changes in the level of complexity of anatomical structures in organisms and the chronological order of fossil appearance in the rock layers.] [Assessment Boundary: Assessment does not include the names of individual species or geological eras in the fossil record.]

Disciplinary Core Idea(s):
LS4.A: Evidence of Common Ancestry and Diversity The collection of fossils and their placement in chronological order (e.g., through the location of the sedimentary layers in which they are found or through radioactive dating) is known as the fossil record. It documents the existence, diversity, extinction, and change of many life forms throughout the history of life on Earth.

Science & Engineering Practices: Analyzing and Interpreting Data Analyze and interpret data to determine similarities and differences in findings. 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, charts, and images can be used to identify patterns in data. 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 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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. RST.6-8.7: 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).

DCI Connections:
Connections to other DCIs in this grade-band: MS.ESS1.C; MS.ESS2.B Articulation across grade-bands: 3.LS4.A; HS.LS4.A; HS.ESS1.C

Standard Identifier: MS-LS4-2

Grade Range: 6–8
Disciplinary Core Idea: LS4.A: Evidence of Common Ancestry and Diversity
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Life Science

Title: MS-LS4 Biological Evolution: Unity and Diversity

Performance Expectation: Apply scientific ideas to construct an explanation for the anatomical similarities and differences among modern organisms and between modern and fossil organisms to infer evolutionary relationships. [Clarification Statement: Emphasis is on explanations of the evolutionary relationships among organisms in terms of similarity or differences of the gross appearance of anatomical structures.]

Disciplinary Core Idea(s):
LS4.A: Evidence of Common Ancestry and Diversity Anatomical similarities and differences between various organisms living today and between them and organisms in the fossil record, enable the reconstruction of evolutionary history and the inference of lines of evolutionary descent.

Science & Engineering Practices: Constructing Explanations and Designing Solutions Apply scientific ideas to construct an explanation for real-world phenomena, examples, or events.

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:
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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. 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. SL.8.1.a–d: Engage effectively in a range of collaborative discussions (one-on-one, in groups, and teacher-led) with diverse partners on grade 8 topics, texts, and issues, building on others’ ideas and expressing their own clearly. SL.8.4: Present claims and findings (e.g., argument, narrative, response to literature presentations), emphasizing salient points in a focused, coherent manner with relevant evidence, sound valid reasoning, and well-chosen details; use appropriate eye contact, adequate volume, and clear pronunciation. a. Plan and present a narrative that: establishes a context and point of view, presents a logical sequence, uses narrative techniques (e.g., dialogue, pacing, description, sensory language), uses a variety of transitions, and provides a conclusion that reflects the experience.

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

Standard Identifier: MS-LS4-3

Grade Range: 6–8
Disciplinary Core Idea: LS4.A: Evidence of Common Ancestry and Diversity
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Life Science

Title: MS-LS4 Biological Evolution: Unity and Diversity

Performance Expectation: Analyze displays of pictorial data to compare patterns of similarities in the embryological development across multiple species to identify relationships not evident in the fully formed anatomy. [Clarification Statement: Emphasis is on inferring general patterns of relatedness among embryos of different organisms by comparing the macroscopic appearance of diagrams or pictures.] [Assessment Boundary: Assessment of comparisons is limited to gross appearance of anatomical structures in embryological development.]

Disciplinary Core Idea(s):
LS4.A: Evidence of Common Ancestry and Diversity Comparison of the embryological development of different species also reveals similarities that show relationships not evident in the fully-formed anatomy.

Science & Engineering Practices: Analyzing and Interpreting Data Analyze displays of data to identify linear and nonlinear relationships.

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

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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. RST.6-8.7: 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). RST.6-8.9: Compare and contrast the information gained from experiments, simulations, video, or multimedia sources with that gained from reading a text on the same topic.

DCI Connections:
Connections to other DCIs in this grade-band: N/A Articulation across grade-bands: HS.LS4.A

Standard Identifier: MS-PS1-1

Grade Range: 6–8
Disciplinary Core Idea: PS1.A: Structure and Properties of Matter
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Physical Science

Title: MS-PS1 Matter and Its Interactions

Performance Expectation: Develop models to describe the atomic composition of simple molecules and extended structures. [Clarification Statement: Emphasis is on developing models of molecules that vary in complexity. Examples of simple molecules could include ammonia and methanol. Examples of extended structures could include sodium chloride or diamonds. Examples of molecular-level models could include drawings, 3D ball and stick structures, or computer representations showing different molecules with different types of atoms.] [Assessment Boundary: Assessment does not include valence electrons and bonding energy, discussing the ionic nature of subunits of complex structures, or a complete depiction of all individual atoms in a complex molecule or extended structure.]

Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Substances are made from different types of atoms, which combine with one another in various ways. Atoms form molecules that range in size from two to thousands of atoms. Solids may be formed from molecules, or they may be extended structures with repeating subunits (e.g., crystals).

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

Crosscutting Concepts: Scale, Proportion, and Quantity Time, space, and energy phenomena can be observed at various scales using models to study systems that are too large or too small.

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.ESS2.C Articulation across grade-bands: 5.PS1.A; HS.PS1.A; HS.ESS1.A

Standard Identifier: MS-PS1-2

Grade Range: 6–8
Disciplinary Core Idea: PS1.A: Structure and Properties of Matter, PS1.B: Chemical Reactions
Cross Cutting Concept: CCC-1: Patterns
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Physical Science

Title: MS-PS1 Matter and Its Interactions

Performance Expectation: Analyze and interpret data on the properties of substances before and after the substances interact to determine if a chemical reaction has occurred. [Clarification Statement: Examples of reactions could include burning sugar or steel wool, fat reacting with sodium hydroxide, and mixing zinc with hydrogen chloride.] [Assessment Boundary: Assessment is limited to analysis of the following properties: density, melting point, boiling point, solubility, flammability, and odor.]

Disciplinary Core Idea(s):
PS1.A: Structure and Properties of Matter Each pure substance has characteristic physical and chemical properties (for any bulk quantity under given conditions) that can be used to identify it. 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.

Science & Engineering Practices: Analyzing and Interpreting Data Analyze and interpret data to determine similarities and differences in findings. 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 Macroscopic patterns are related to the nature of microscopic and atomic-level structure.

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.6-8.1: Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions. RST.6-8.7: 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. 6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems. 6.SP.4: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. 6.SP.5.a-d: Summarize numerical data sets in relation to their context.

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

Standard Identifier: MS-PS3-1

Grade Range: 6–8
Disciplinary Core Idea: PS3.A: Definitions of Energy
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Physical Science

Title: MS-PS3 Energy

Performance Expectation: Construct and interpret graphical displays of data to describe the relationships of kinetic energy to the mass of an object and to the speed of an object. [Clarification Statement: Emphasis is on descriptive relationships between kinetic energy and mass separately from kinetic energy and speed. Examples could include riding a bicycle at different speeds, rolling different sizes of rocks downhill, and getting hit by a whiffle ball versus a tennis ball.]

Disciplinary Core Idea(s):
PS3.A: Definitions of Energy Motion energy is properly called kinetic energy; it is proportional to the mass of the moving object and grows with the square of its speed.

Science & Engineering Practices: Analyzing and Interpreting Data Construct and interpret graphical displays of data to identify linear and nonlinear relationships.

Crosscutting Concepts: Scale, Proportion, and Quantity Proportional relationships (e.g. speed as the ratio of distance traveled to time taken) among different types of quantities provide information about the magnitude of properties and processes.

California Environmental Principles and Concepts:
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, attending to the precise details of explanations or descriptions. 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. 6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities. 8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. 8.EE.2: Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. 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: MS.PS2.A Articulation across grade-bands: 4.PS3.B; HS.PS3.A; HS.PS3.B

Showing 31 - 40 of 55 Standards


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