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Showing 1 - 10 of 16 Standards

Standard Identifier: K-PS2-2

Grade: K
Disciplinary Core Idea: PS2.A: Forces and Motion, PS2.B: Types of Interactions, ETS1.A: Defining and Delimiting Engineering Problems
Cross Cutting Concept: CCC-2: Cause and Effect: Mechanism and Explanation
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Physical Science

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

Performance Expectation: Analyze data to determine if a design solution works as intended to change the speed or direction of an object with a push or a pull.* [Clarification Statement: Examples of problems requiring a solution could include having a marble or other object move a certain distance, follow a particular path, and knock down other objects. Examples of solutions could include tools such as a ramp to increase the speed of the object and a structure that would cause an object such as a marble or ball to turn.] [Assessment Boundary: Assessment does not include friction as a mechanism for change in speed.]

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. ETS1.A: Defining and Delimiting Engineering Problems A situation that people want to change or create can be approached as a problem to be solved through engineering. Such problems may have many acceptable solutions. (secondary to K-PS2-2)

Science & Engineering Practices: Analyzing and Interpreting Data Analyze data from tests of an object or tool to determine if it works as intended.

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 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.

DCI Connections:
Connections to other DCIs in kindergarten: K.ETS1.A; K.ETS1.B Articulation across grade-levels: 2.ETS1.B; 3.PS2.A; 4.ETS1.A

Standard Identifier: 1-PS4-2

Grade: 1
Disciplinary Core Idea: PS4.B: Electromagnetic Radiation
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: 1-PS4 Waves and their Applications in Technologies for Information Transfer

Performance Expectation: Make observations to construct an evidence-based account that objects can be seen only when illuminated. [Clarification Statement: Examples of observations could include those made in a completely dark room, a pinhole box, and a video of a cave explorer with a flashlight. Illumination could be from an external light source or by an object giving off its own light.]

Disciplinary Core Idea(s):
PS4.B: Electromagnetic Radiation Objects can be seen if light is available to illuminate them or if they give off their own light.

Science & Engineering Practices: Constructing Explanations and Designing Solutions Make observations (firsthand or from media) to construct an evidence-based account for natural phenomena.

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.1.2: Write informative/explanatory texts in which they name a topic, supply some facts about the topic, and provide some sense of closure. W.1.7: Participate in shared research and writing projects (e.g., explore a number of “how-to” books on a given topic and use them to write a sequence of instructions). W.1.8: With guidance and support from adults, recall information from experiences or gather information from provided sources to answer a question. SL.1.1.a–c: Participate in collaborative conversations with diverse partners about grade 1 topics and texts with peers and adults in small and larger groups.

DCI Connections:
Connections to other DCIs in first grade: N/A Articulation across grade-levels: 4.PS4.B

Standard Identifier: 2-ESS1-1

Grade: 2
Disciplinary Core Idea: ESS1.C: The History of Planet Earth
Cross Cutting Concept: CCC-7: Stability and Change
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Earth and Space Science

Title: 2-ESS1 Earth’s Place in the Universe

Performance Expectation: Use information from several sources to provide evidence that Earth events can occur quickly or slowly. [Clarification Statement: Examples of events and timescales could include volcanic explosions and earthquakes, which happen quickly and erosion of rocks, which occurs slowly.] [Assessment Boundary: Assessment does not include quantitative measurements of timescales.]

Disciplinary Core Idea(s):
ESS1.C: The History of Planet Earth Some events happen very quickly; others occur very slowly, over a time period much longer than one can observe.

Science & Engineering Practices: Constructing Explanations and Designing Solutions Make observations from several sources to construct an evidence-based account for natural phenomena.

Crosscutting Concepts: Stability and Change Things may change slowly or rapidly.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy RI.2.1: Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text. RI.2.3: Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text. W.2.6: With guidance and support from adults, use a variety of digital tools to produce and publish writing, including in collaboration with peers. W.2.7: Participate in shared research and writing projects (e.g., read a number of books on a single topic to produce a report; record science observations). W.2.8: Recall information from experiences or gather information from provided sources to answer a question. SL.2.2: Recount or describe key ideas or details from a text read aloud or information presented orally or through other media. a. Give and follow three- and four-step oral directions. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. 2.NBT.1-4: Understand place value.

DCI Connections:
Connections to other DCIs in second grade: N/A Articulation across grade-levels: 3.LS2.C; 4.ESS1.C; 4.ESS2.A

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: 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: MS-ESS1-3

Grade Range: 6–8
Disciplinary Core Idea: ESS1.B: Earth and the Solar System
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-4: Analyzing and Interpreting Data
Content Area: Earth and Space Science

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

Performance Expectation: Analyze and interpret data to determine scale properties of objects in the solar system. [Clarification Statement: Emphasis is on the analysis of data from Earth-based instruments, space-based telescopes, and spacecraft to determine similarities and differences among solar system objects. Examples of scale properties include the sizes of an object’s layers (such as crust and atmosphere), surface features (such as volcanoes), and orbital radius. Examples of data include statistical information, drawings and photographs, and models.] [Assessment Boundary: Assessment does not include recalling facts about properties of the planets and other solar system bodies.]

Disciplinary Core Idea(s):
ESS1.B: Earth and the Solar System The solar system consists of the sun and a collection of objects, including planets, their moons, and asteroids that are held in orbit around the sun by its gravitational pull on them.

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

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. 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:
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. 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. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was one beak." "For every vote candidate A received, candidate C received nearly three votes." 7.RP.2.a-d: Recognize and represent proportional relationships between quantities.

DCI Connections:
Connections to other DCIs in this grade-band: MS.ESS2.A Articulation across grade-bands: 5.ESS1.B; HS.ESS1.B; HS.ESS2.A

Standard Identifier: MS-ESS1-4

Grade Range: 6–8
Disciplinary Core Idea: ESS1.C: The History of Planet Earth
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Earth and Space Science

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

Performance Expectation: Construct a scientific explanation based on evidence from rock strata for how the geologic time scale is used to organize Earth’s 4.6-billion-year-old history. [Clarification Statement: Emphasis is on how analyses of rock formations and the fossils they contain are used to establish relative ages of major events in Earth’s history. Examples of Earth’s major events could range from being very recent (such as the last Ice Age or the earliest fossils of homo sapiens) to very old (such as the formation of Earth or the earliest evidence of life). Examples can include the formation of mountain chains and ocean basins, the evolution or extinction of particular living organisms, or significant volcanic eruptions.] [Assessment Boundary: Assessment does not include recalling the names of specific periods or epochs and events within them.]

Disciplinary Core Idea(s):
ESS1.C: The History of Planet Earth The geologic time scale interpreted from rock strata provides a way to organize Earth’s history. Analyses of rock strata and the fossil record provide only relative dates, not an absolute scale.

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: 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:
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. 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. 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.LS4.A; MS.LS4.C Articulation across grade-bands: 3.LS4.A; 3.LS4.C; 4.ESS1.C; HS.PS1.C; HS.LS4.A; HS.LS4.C; HS.ESS1.C; HS.ESS2.A

Standard Identifier: MS-ESS2-2

Grade Range: 6–8
Disciplinary Core Idea: ESS2.A: Earth Materials and Systems, ESS2.C: The Roles of Water in Earth's Surface Processes
Cross Cutting Concept: CCC-3: Scale, Proportion, and Quantity
Science & Engineering Practice: SEP-6: Constructing Explanations and Designing Solutions
Content Area: Earth and Space Science

Title: MS-ESS2 Earth’s Systems

Performance Expectation: Construct an explanation based on evidence for how geoscience processes have changed Earth’s surface at varying time and spatial scales. [Clarification Statement: Emphasis is on how processes change Earth’s surface at time and spatial scales that can be large (such as slow plate motions or the uplift of large mountain ranges) or small (such as rapid landslides or microscopic geochemical reactions), and how many geoscience processes (such as earthquakes, volcanoes, and meteor impacts) usually behave gradually but are punctuated by catastrophic events. Examples of geoscience processes include surface weathering and deposition by the movements of water, ice, and wind. Emphasis is on geoscience processes that shape local geographic features, where appropriate.]

Disciplinary Core Idea(s):
ESS2.A: Earth Materials and Systems The planet’s systems interact over scales that range from microscopic to global in size, and they operate over fractions of a second to billions of years. These interactions have shaped Earth’s history and will determine its future. ESS2.C: The Roles of Water in Earth’s Surface Processes Water’s movements—both on the land and underground—cause weathering and erosion, which change the land’s surface features and create underground formations.

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 nature operate today as they did in the past and will continue to do so in the future.

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 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. 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. 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. 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.B; MS.LS2.B Articulation across grade-bands: 4.ESS1.C; 4.ESS2.A; 4.ESS2.E; 5.ESS2.A; HS.PS3.D; HS.LS2.B; HS.ESS1.C; HS.ESS2.A; HS.ESS2.B; HS.ESS2.C; HS.ESS2.D; HS.ESS2.E; HS.ESS3.D

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-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 16 Standards


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