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Standard Identifier: K-ESS3-2

Grade: K
Disciplinary Core Idea: ESS3.B: Natural Hazards, ETS1.A: Defining and Delimiting Engineering Problems
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-1: Asking Questions and Defining Problems
Content Area: Earth and Space Science

Title: K-ESS3 Earth and Human Activity

Performance Expectation: Ask questions to obtain information about the purpose of weather forecasting to prepare for, and respond to, severe weather.* [Clarification Statement: Emphasis is on local forms of severe weather.]

Disciplinary Core Idea(s):
ESS3.B: Natural Hazards Some kinds of severe weather are more likely than others in a given region. Weather scientists forecast severe weather so that the communities can prepare for and respond to these events. ETS1.A: Defining and Delimiting Engineering Problems Asking questions, making observations, and gathering information are helpful in thinking about problems. (secondary to K-ESS3-2)

Science & Engineering Practices: Asking Questions and Defining Problems Ask questions based on observations to find more information about the designed world.

Crosscutting Concepts: Cause and Effect Events have causes that generate observable patterns. Connections to Engineering, Technology, and Applications of Science: Interdependence of Science, Engineering, and Technology People encounter questions about the natural world every day. Influence of Engineering, Technology, and Science on Society and the Natural World People depend on various technologies in their lives; human life would be very different without technology.

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.K.1: With prompting and support, ask and answer questions about key details in a text. SL.K.3: Ask and answer questions in order to seek help, get information, or clarify something that is not understood. Mathematics MP.4: Model with mathematics. K.CC.1-3: Know number names and the count sequence. K.CC.4-5: Count to tell the number of objects. K.CC.6-7: Compare numbers.

DCI Connections:
Connections to other DCIs in this grade-band: K.ETS1.A Articulation across grade-bands: 2.ESS1.C; 3.ESS3.B; 4.ESS3.B

Standard Identifier: K-PS2-1

Grade: K
Disciplinary Core Idea: PS2.A: Forces and Motion, PS2.B: Types of Interactions, PS3.C: Relationship between Energy and Forces
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-3: Planning and Carrying Out Investigations
Content Area: Physical Science

Title: K-PS2 Motion and Stability: Forces and Interactions

Performance Expectation: Plan and conduct an investigation to compare the effects of different strengths or different directions of pushes and pulls on the motion of an object. [Clarification Statement: Examples of pushes or pulls could include a string attached to an object being pulled, a person pushing an object, a person stopping a rolling ball, and two objects colliding and pushing on each other.] [Assessment Boundary: Assessment is limited to different relative strengths or different directions, but not both at the same time. Assessment does not include non-contact pushes or pulls such as those produced by magnets.]

Disciplinary Core Idea(s):
PS2.A: Forces and Motion Pushes and pulls can have different strengths and directions. Pushing or pulling on an object can change the speed or direction of its motion and can start or stop it. PS2.B: Types of Interactions When objects touch or collide, they push on one another and can change motion. PS3.C: Relationship Between Energy and Forces A bigger push or pull makes things speed up or slow down more quickly. (secondary to K-PS2-1)

Science & Engineering Practices: Planning and Carrying Out Investigations With guidance, plan and conduct an investigation in collaboration with peers. Connections to Nature of Science: Scientific Investigations Use a Variety of Methods Scientists use different ways to study the world.

Crosscutting Concepts: Cause and Effect Simple tests can be designed to gather evidence to support or refute student ideas about causes.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy W.K.7: Participate in shared research and writing projects (e.g., explore a number of books by a favorite author and express opinions about them). Mathematics MP.2: Reason abstractly and quantitatively. K.MD.1-2: Describe and compare measurable attributes.

DCI Connections:
Connections to other DCIs in kindergarten: N/A Articulation across grade-levels: 3.PS2.A; 3.PS2.B; 4.PS3.A

Standard Identifier: 3-ESS3-1

Grade: 3
Disciplinary Core Idea: ESS3.B: Natural Hazards
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-7: Engaging in Argument From Science
Content Area: Earth and Space Science

Title: 3-ESS3 Earth and Human Activity

Performance Expectation: Make a claim about the merit of a design solution that reduces the impacts of a weather-related hazard.* [Clarification Statement: Examples of design solutions to weather-related hazards could include barriers to prevent flooding, wind resistant roofs, and lightning rods.]

Disciplinary Core Idea(s):
ESS3.B: Natural Hazards A variety of natural hazards result from natural processes. Humans cannot eliminate natural hazards but can take steps to reduce their impacts. (Note: This Disciplinary Core Idea is also addressed by 4-ESS3-2.)

Science & Engineering Practices: Engaging in Argument from Evidence Make a claim about the merit of a solution to a problem by citing relevant evidence about how it meets the criteria and constraints of the problem.

Crosscutting Concepts: Cause and Effect Cause and effect relationships are routinely identified, tested, and used to explain change. Connections to Engineering, Technology, and Applications of Science: Influence of Engineering, Technology, and Science on Society and the Natural World Engineers improve existing technologies or develop new ones to increase their benefits (e.g., better artificial limbs), decrease known risks (e.g., seatbelts in cars), and meet societal demands (e.g., cell phones). Connections to Nature of Science: Science is a Human Endeavor Science affects everyday life.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy W.3.1.a–d: Write opinion pieces on topics or texts, supporting a point of view with reasons. W.3.7: Conduct short research projects that build knowledge about a topic. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics.

DCI Connections:
Connections to other DCIs in third grade: N/A Articulation across grade-levels: K.ESS3.B; K.ETS1.A; 4.ESS3.B; 4.ETS1.A; MS.ESS3.B

Standard Identifier: 3-LS4-1

Grade: 3
Disciplinary Core Idea: LS4.A: Evidence of Common Ancestry and Diversity
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Life Science

Title: 3-LS4 Biological Evolution: Unity and Diversity

Performance Expectation: Analyze and interpret data from fossils to provide evidence of the organisms and the environments in which they lived long ago. [Clarification Statement: Examples of data could include type, size, and distributions of fossil organisms. Examples of fossils and environments could include marine fossils found on dry land, tropical plant fossils found in Arctic areas, and fossils of extinct organisms.] [Assessment Boundary: Assessment does not include identification of specific fossils or present plants and animals. Assessment is limited to major fossil types and relative ages.]

Disciplinary Core Idea(s):
LS4.A: Evidence of Common Ancestry and Diversity Some kinds of plants and animals that once lived on Earth are no longer found anywhere. (Note: moved from K-2) Fossils provide evidence about the types of organisms that lived long ago and also about the nature of their environments.

Science & Engineering Practices: Analyzing and Interpreting Data Analyze and interpret data to make sense of phenomena using logical reasoning.

Crosscutting Concepts: Scale, Proportion, and Quantity Observable phenomena exist from very short to very long time periods. 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:
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.3.1.a–d: Ask and answer questions to demonstrate understanding of a text, referring explicitly to the text as the basis for the answers. RI.3.2.a–d: Determine the main idea of a text; recount the key details and explain how they support the main idea. RI.3.3: Describe the relationship between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text, using language that pertains to time, sequence, and cause/effect. W.3.1: Write opinion pieces on topics or texts, supporting a point of view with reasons. W.3.2: Write informative/explanatory texts to examine a topic and convey ideas and information clearly. W.3.8: Recall information from experiences or gather information from print and digital sources; take brief notes on sources and sort evidence into provided categories. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. MP.5: Use appropriate tools strategically. 3.MD.4: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.

DCI Connections:
Connections to other DCIs in third grade: N/A Articulation across grade-levels: 4.ESS1.C; MS.LS2.A; MS.LS4.A; MS.ESS1.C; MS.ESS2.B

Standard Identifier: 4-ESS3-1

Grade: 4
Disciplinary Core Idea: ESS3.A: Natural Resources
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-8: Obtaining, Evaluating, and Communicating Information
Content Area: Earth and Space Science

Title: 4-ESS3 Earth and Human Activity

Performance Expectation: Obtain and combine information to describe that energy and fuels are derived from natural resources and that their uses affect the environment. [Clarification Statement: Examples of renewable energy resources could include wind energy, water behind dams, and sunlight; non-renewable energy resources are fossil fuels and fissile materials. Examples of environmental effects could include loss of habitat due to dams, loss of habitat due to surface mining, and air pollution from burning of fossil fuels.]

Disciplinary Core Idea(s):
ESS3.A: Natural Resources Energy and fuels that humans use are derived from natural sources, and their use affects the environment in multiple ways. Some resources are renewable over time, and others are not.

Science & Engineering Practices: Obtaining, Evaluating, and Communicating Information Obtain and combine information from books and other reliable media to explain phenomena.

Crosscutting Concepts: Cause and Effect Cause and effect relationships are routinely identified and used to explain change. Connections to Engineering, Technology, and Applications of Science: Interdependence of Science, Engineering, and Technology Knowledge of relevant scientific concepts and research findings is important in engineering. Influence of Science, Engineering and Technology on Society and the Natural World Over time, people’s needs and wants change, as do their demands for new and improved technologies.

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.

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. W.4.9.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. 4.OA.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

DCI Connections:
Connections to other DCIs in fourth grade: N/A Articulation across grade-levels: 5.ESS3.C; MS.PS3.D; MS.ESS2.A; MS.ESS3.A; MS.ESS3.C; MS.ESS3.D

Standard Identifier: 4-ESS3-2

Grade: 4
Disciplinary Core Idea: ESS3.B: Natural Hazards, ETS1.B: Developing Possible Solutions
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Earth and Space Science

Title: 4-ESS3 Earth and Human Activity

Performance Expectation: Generate and compare multiple solutions to reduce the impacts of natural Earth processes on humans.* [Clarification Statement: Examples of solutions could include designing an earthquake resistant building and improving monitoring of volcanic activity.] [Assessment Boundary: Assessment is limited to earthquakes, floods, tsunamis, and volcanic eruptions.]

Disciplinary Core Idea(s):
ESS3.B: Natural Hazards A variety of hazards result from natural processes (e.g., earthquakes, tsunamis, volcanic eruptions). Humans cannot eliminate the hazards but can take steps to reduce their impacts. (Note: This Disciplinary Core Idea can also be found in 3.WC.) ETS1.B: Designing Solutions to Engineering Problems Testing a solution involves investigating how well it performs under a range of likely conditions. (secondary to 4-ESS3-2)

Science & Engineering Practices: Constructing Explanations and Designing Solutions Generate and compare multiple solutions to a problem based on how well they meet the criteria and constraints of the design solution.

Crosscutting Concepts: Cause and Effect Cause and effect relationships are routinely identified, tested, and used to explain change. 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 to increase their benefits, to decrease known risks, and to meet societal demands.

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.

California Common Core State Standards Connections:
ELA/Literacy RI.4.1: Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text. RI.4.9: Integrate information from two texts on the same topic in order to write or speak about the subject knowledgeably. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. 4.OA.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

DCI Connections:
Connections to other DCIs in fourth grade: 4.ETS1.C Articulation across grade-levels: K.ETS1.A; 2.ETS1.B; 2.ETS1.C; MS.ESS2.A; MS.ESS3.B; MS.ETS1.B

Standard Identifier: 5-ESS1-1

Grade: 5
Disciplinary Core Idea: ESS1.A: The Universe and its Stars
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-7: Engaging in Argument From Science
Content Area: Earth and Space Science

Title: 5-ESS1 Earth’s Place in the Universe

Performance Expectation: Support an argument that differences in the apparent brightness of the sun compared to other stars is due to their relative distances from Earth. [Clarification Statement: Absolute brightness of stars is the result of a variety factors. Relative distance from Earth is one factor that affects apparent brightness and is the one selected to be addressed by the performance expectation.] [Assessment Boundary: Assessment is limited to relative distances, not sizes, of stars. Assessment does not include other factors that affect apparent brightness (such as stellar masses, age, stage).]

Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars The sun is a star that appears larger and brighter than other stars because it is closer. Stars range greatly in their distance from Earth.

Science & Engineering Practices: Engaging in Argument from Evidence Support an argument with evidence, data, or a model.

Crosscutting Concepts: Scale, Proportion, and Quantity Natural objects exist from the very small to the immensely large.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy RI.5.1.a-d: Quote accurately from a text when explaining what the text says explicitly and when drawing inferences from the text. 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. RI.5.8: Explain how an author uses reasons and evidence to support particular points in a text, identifying which reasons and evidence support which point(s). RI.5.9: Integrate information from several texts on the same topic in order to write or speak about the subject knowledgeably. W.5.1.a–d: Write opinion pieces on topics or texts, supporting a point of view with reasons and information. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. 5.NBT.2: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

DCI Connections:
Connections to other DCIs in fifth grade: N/A Articulation across grade-levels: MS.ESS1.A; MS.ESS1.B

Standard Identifier: MS-ESS3-1

Grade Range: 6–8
Disciplinary Core Idea: ESS3.A: Natural Resources
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Earth and Space Science

Title: MS-ESS3 Earth and Human Activity

Performance Expectation: Construct a scientific explanation based on evidence for how the uneven distributions of Earth’s mineral, energy, and groundwater resources are the result of past and current geoscience processes. [Clarification Statement: Emphasis is on how these resources are limited and typically non-renewable, and how their distributions are significantly changing as a result of removal by humans. Examples of uneven distributions of resources as a result of past processes include but are not limited to petroleum (locations of the burial of organic marine sediments and subsequent geologic traps), metal ores (locations of past volcanic and hydrothermal activity associated with subduction zones), and soil (locations of active weathering and/or deposition of rock).]

Disciplinary Core Idea(s):
ESS3.A: Natural Resources Humans depend on Earth’s land, ocean, atmosphere, and biosphere for many different resources. Minerals, fresh water, and biosphere resources are limited, and many are not renewable or replaceable over human lifetimes. These resources are distributed unevenly around the planet as a result of past geologic processes.

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.

Crosscutting Concepts: Cause and Effect Cause and effect relationships may be used to predict phenomena in natural or designed systems. Connections to Engineering, Technology, and Applications of Science: Influence of Science, Engineering, and Technology on Society and the Natural World All human activity draws on natural resources and has both short and long-term consequences, positive as well as negative, for the health of people and the natural environment.

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. WHST.6-8.2.a-f: Write informative/explanatory texts to examine a topic and convey ideas, concepts, and information through the selection, organization, and analysis of relevant content. WHST.6-8.9: Draw evidence from informational texts to support analysis, reflection, and research. Mathematics 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.PS1.A; MS.PS1.B; MS.ESS2.D Articulation across grade-bands: 4.PS3.D; 4.ESS3.A; HS.PS3.B; HS.LS1.C; HS.ESS2.A; HS.ESS2.B; HS.ESS2.C; HS.ESS3.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-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 1 - 10 of 15 Standards


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