Subjects
Shows
Determine the meaning of words and phrases as they are used in a text, including vocabulary specific to domains related [...]
Describe how a text presents information (e.g., sequentially, comparatively, causally).
Identify aspects of a text that reveal an author’s point of view or purpose (e.g., loaded language, inclusion or avoidance [...]
Integrate visual information (e.g., in charts, graphs, photographs, videos, or maps) with other information in print and digital texts.
Distinguish among fact, opinion, and reasoned judgment in a text.
Analyze the relationship between a primary and secondary source on the same topic.
Cite specific textual evidence to support analysis of science and technical texts.
By the end of grade 8, read and comprehend science/technical texts in the grades 6–8 text complexity band independently and [...]
Determine the central ideas or conclusions of a text; provide an accurate summary of the text distinct from prior knowledge [...]
Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks.
Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific [...]
Analyze the structure an author uses to organize a text, including how the major sections contribute to the whole and [...]
Analyze the author’s purpose in providing an explanation, describing a procedure, or discussing an experiment in a text.
Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., [...]
Distinguish among facts, reasoned judgment based on research findings, and speculation in a text.
Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for [...]
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how [...]
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and [...]
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems [...]
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, [...]
Solve word problems leading to inequalities of the form px + q > r or px + q < r, [...]
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations [...]
Use random sampling to draw inferences about a population. Use data from a random sample to draw inferences about a [...]
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the [...]
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about [...]
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of [...]
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its [...]
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; [...]
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of [...]
Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For [...]
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the [...]
Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described [...]
Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool [...]
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal [...]
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for [...]
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, [...]
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or [...]
Recognize and represent proportional relationships between quantities.
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing [...]
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased [...]
Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with [...]
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, [...]
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on [...]
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its [...]
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending [...]
Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the [...]
Apply properties of operations as strategies to add and subtract rational numbers.
Subjects
Shows
Determine the meaning of words and phrases as they are used in a text, including vocabulary specific to domains related [...]
Describe how a text presents information (e.g., sequentially, comparatively, causally).
Identify aspects of a text that reveal an author’s point of view or purpose (e.g., loaded language, inclusion or avoidance [...]
Integrate visual information (e.g., in charts, graphs, photographs, videos, or maps) with other information in print and digital texts.
Distinguish among fact, opinion, and reasoned judgment in a text.
Analyze the relationship between a primary and secondary source on the same topic.
Cite specific textual evidence to support analysis of science and technical texts.
By the end of grade 8, read and comprehend science/technical texts in the grades 6–8 text complexity band independently and [...]
Determine the central ideas or conclusions of a text; provide an accurate summary of the text distinct from prior knowledge [...]
Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks.
Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific [...]
Analyze the structure an author uses to organize a text, including how the major sections contribute to the whole and [...]
Analyze the author’s purpose in providing an explanation, describing a procedure, or discussing an experiment in a text.
Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., [...]
Distinguish among facts, reasoned judgment based on research findings, and speculation in a text.
Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for [...]
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how [...]
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and [...]
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems [...]
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, [...]
Solve word problems leading to inequalities of the form px + q > r or px + q < r, [...]
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations [...]
Use random sampling to draw inferences about a population. Use data from a random sample to draw inferences about a [...]
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the [...]
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about [...]
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of [...]
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its [...]
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; [...]
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of [...]
Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For [...]
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the [...]
Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described [...]
Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool [...]
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal [...]
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for [...]
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, [...]
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or [...]
Recognize and represent proportional relationships between quantities.
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing [...]
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased [...]
Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with [...]
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, [...]
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on [...]
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its [...]
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending [...]
Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the [...]
Apply properties of operations as strategies to add and subtract rational numbers.
