Subjects
Shows
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.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Apply and extend [...]
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of [...]
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero [...]
Subjects
Shows
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.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Apply and extend [...]
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of [...]
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero [...]
