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Science (CA NGSS) Standards




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Showing 1 - 10 of 18 Standards

Standard Identifier: 2-ESS2-1

Grade: 2
Disciplinary Core Idea: ESS2.A: Earth Materials and Systems, ETS1.C: Optimizing the Design Solution
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-ESS2 Earth’s Systems

Performance Expectation: Compare multiple solutions designed to slow or prevent wind or water from changing the shape of the land.* [Clarification Statement: Examples of solutions could include different designs of dikes and windbreaks to hold back wind and water, and different designs for using shrubs, grass, and trees to hold back the land.]

Disciplinary Core Idea(s):
ESS2.A: Earth Materials and Systems Wind and water can change the shape of the land. ETS1.C: Optimizing the Design Solution Because there is always more than one possible solution to a problem, it is useful to compare and test designs. (secondary to 2-ESS2-1)

Science & Engineering Practices: Constructing Explanations and Designing Solutions Compare multiple solutions to a problem.

Crosscutting Concepts: Stability and Change Things may change slowly or rapidly. Connections to Engineering, Technology, and Applications of Science: Influence of Engineering, Technology, and Science on Society and the Natural World Developing and using technology has impacts on the natural world. Connections to Nature of Science: Science Addresses Questions About the Natural and Material World Scientists study the natural and material world.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy RI.2.3: Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text. RI.2.9: Compare and contrast the most important points presented by two texts on the same topic. Mathematics MP.2: Reason abstractly and quantitatively. MP.4: Model with mathematics. MP.5: Use appropriate tools strategically. 2.MD.5: Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.

DCI Connections:
Connections to other DCIs in second grade: N/A Articulation across grade-levels: 4.ESS2.B; 5.ESS2.C

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: 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: 5-ESS2-1

Grade: 5
Disciplinary Core Idea: ESS2.A: Earth Materials and Systems
Cross Cutting Concept: CCC-4: Systems and Systems Models
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Earth and Space Science

Title: 5-ESS2 Earth’s Systems

Performance Expectation: Develop a model using an example to describe ways the geosphere, biosphere, hydrosphere, and/or atmosphere interact. [Clarification Statement: The geosphere, hydrosphere (including ice), atmosphere, and biosphere are each system is a part of the whole Earth System. Examples could include the influence of the ocean on ecosystems, landform shape, and climate; the influence of the atmosphere on landforms and ecosystems through weather and climate; and the influence of mountain ranges on winds and clouds in the atmosphere. The geosphere, hydrosphere, atmosphere, and biosphere are each a system.] [Assessment Boundary: Assessment is limited to the interactions of two systems at a time.]

Disciplinary Core Idea(s):
ESS2.A: Earth Materials and Systems Earth’s major systems are the geosphere (solid and molten rock, soil, and sediments), the hydrosphere (water and ice), the atmosphere (air), and the biosphere (living things, including humans). These systems interact in multiple ways to affect Earth’s surface materials and processes. The ocean supports a variety of ecosystems and organisms, shapes landforms, and influences climate. Winds and clouds in the atmosphere interact with the landforms to determine patterns of weather.

Science & Engineering Practices: Developing and Using Models Develop a model using an example to describe a scientific principle.

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.

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. 5.G.2: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

DCI Connections:
Connections to other DCIs in fifth grade: N/A Articulation across grade-levels: 2.ESS2.A; 3.ESS2.D; 4.ESS2.A; MS.ESS2.A; MS.ESS2.C; MS.ESS2.D

Standard Identifier: MS-ESS1-2

Grade Range: 6–8
Disciplinary Core Idea: ESS1.A: The Universe and its Stars, ESS1.B: Earth and the Solar System
Cross Cutting Concept: CCC-4: Systems and Systems Models
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Earth and Space Science

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

Performance Expectation: Develop and use a model to describe the role of gravity in the motions within galaxies and the solar system. [Clarification Statement: Emphasis for the model is on gravity as the force that holds together the solar system and Milky Way galaxy and controls orbital motions within them. Examples of models can be physical (such as the analogy of distance along a football field or computer visualizations of elliptical orbits) or conceptual (such as mathematical proportions relative to the size of familiar objects such as students’ school or state).] [Assessment Boundary: Assessment does not include Kepler’s Laws of orbital motion or the apparent retrograde motion of the planets as viewed from Earth.]

Disciplinary Core Idea(s):
ESS1.A: The Universe and its Stars Earth and its solar system are part of the Milky Way galaxy, which is one of many galaxies in the universe. 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. The solar system appears to have formed from a disk of dust and gas, drawn together by gravity.

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

Crosscutting Concepts: Systems and System Models Models can be used to represent systems and their interactions. 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:
N/A

California Common Core State Standards Connections:
ELA/Literacy SL.8.5: Integrate multimedia and visual displays into presentations to clarify information, strengthen claims and evidence, and add interest. Mathematics MP.4: Model with mathematics. 6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 7.RP.2.a-d: Recognize and represent proportional relationships between quantities. 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-d: 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.PS2.A; MS.PS2.B; Articulation across grade-bands: 3.PS2.A; 5.PS2.B; 5.ESS1.A; 5.ESS1.B; HS.PS2.A; HS.PS2.B; HS.ESS1.A; HS.ESS1.B

Standard Identifier: MS-ESS2-1

Grade Range: 6–8
Disciplinary Core Idea: ESS2.A: Earth Materials and Systems
Cross Cutting Concept: CCC-7: Stability and Change
Science & Engineering Practice: SEP-2: Developing and Using Models
Content Area: Earth and Space Science

Title: MS-ESS2 Earth’s Systems

Performance Expectation: Develop a model to describe the cycling of Earth’s materials and the flow of energy that drives this process. [Clarification Statement: Emphasis is on the processes of melting, crystallization, weathering, deformation, and sedimentation, which act together to form minerals and rocks through the cycling of Earth’s materials.] [Assessment Boundary: Assessment does not include the identification and naming of minerals.]

Disciplinary Core Idea(s):
ESS2.A: Earth Materials and Systems All Earth processes are the result of energy flowing and matter cycling within and among the planet’s systems. This energy is derived from the sun and Earth’s hot interior. The energy that flows and matter that cycles produce chemical and physical changes in Earth’s materials and living organisms.

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

Crosscutting Concepts: Stability and Change Explanations of stability and change in natural or designed systems can be constructed by examining the changes over time and processes at different scales, including the atomic scale.

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 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.A; MS.PS1.B; MS.PS3.B; MS.LS2.B; MS.LS2.C; MS.ESS1.B; MS.ESS3.C Articulation across grade-bands: 4.PS3.B; 4.ESS2.A; 5.ESS2.A; HS.PS1.B; HS.PS3.B; HS.LS1.C; HS.LS2.B; HS.ESS2.A; HS.ESS2.C; HS.ESS2.E

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-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

Standard Identifier: MS-PS2-2

Grade Range: 6–8
Disciplinary Core Idea: PS2.A: Forces and Motion
Cross Cutting Concept: CCC-7: Stability and Change
Science & Engineering Practice: SEP-3: Planning and Carrying Out Investigations
Content Area: Physical Science

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

Performance Expectation: Plan an investigation to provide evidence that the change in an object’s motion depends on the sum of the forces on the object and the mass of the object. [Clarification Statement: Emphasis is on balanced (Newton’s First Law) and unbalanced forces in a system, qualitative comparisons of forces, mass and changes in motion (Newton’s Second Law), frame of reference, and specification of units.] [Assessment Boundary: Assessment is limited to forces and changes in motion in one-dimension in an inertial reference frame and to change in one variable at a time. Assessment does not include the use of trigonometry.]

Disciplinary Core Idea(s):
PS2.A: Forces and Motion The motion of an object is determined by the sum of the forces acting on it; if the total force on the object is not zero, its motion will change. The greater the mass of the object, the greater the force needed to achieve the same change in motion. For any given object, a larger force causes a larger change in motion. All positions of objects and the directions of forces and motions must be described in an arbitrarily chosen reference frame and arbitrarily chosen units of size. In order to share information with other people, these choices must also be shared.

Science & Engineering Practices: Planning and Carrying Out Investigations Plan an investigation individually and collaboratively, and in the design: identify independent and dependent variables and controls, what tools are needed to do the gathering, how measurements will be recorded, and how many data are needed to support a claim. 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: Stability and Change Explanations of stability and change in natural or designed systems can be constructed by examining the changes over time and forces at different scales.

California Environmental Principles and Concepts:
N/A

California Common Core State Standards Connections:
ELA/Literacy 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.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.A; MS.PS3.B; MS.ESS2.C Articulation across grade-bands: 3.PS2.A; HS.PS2.A; HS.PS3.B; HS.ESS1.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 1 - 10 of 18 Standards


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