Subjects
Shows
Determine an author’s point of view or purpose in a text and explain how it is conveyed in the text.
Integrate information presented in different media or formats (e.g., visually, quantitatively) as well as in words to develop a coherent [...]
Trace and evaluate the argument and specific claims in a text, distinguishing claims that are supported by reasons and evidence [...]
Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, [...]
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + [...]
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is [...]
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if [...]
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can [...]
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px [...]
Write an inequality of the form x > c or x < c to represent a constraint or condition in [...]
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation [...]
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it [...]
Understand that a set of data collected to answer a statistical question has a distribution which can be described by [...]
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, [...]
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Summarize and describe distributions. Summarize numerical data sets in relation to their context, such as by:
Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing [...]
Relating the choice of measures of center and variability to the shape of the data distribution and the context in [...]
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual [...]
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple [...]
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below [...]
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from [...]
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the [...]
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two [...]
Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs [...]
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, [...]
Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write –3°C > –7°C to [...]
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value [...]
Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars [...]
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates [...]
Write and evaluate numerical expressions involving whole-number exponents.
Write, read, and evaluate expressions in which letters stand for numbers.
Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y [...]
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of [...]
Find area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and [...]
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the [...]
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side [...]
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area [...]
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, [...]
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal [...]
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape [...]
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs [...]
Solve unit rate problems including those involving unit pricing and constant speed. For example, If it took 7 hours to [...]
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the [...]
Subjects
Shows
Determine an author’s point of view or purpose in a text and explain how it is conveyed in the text.
Integrate information presented in different media or formats (e.g., visually, quantitatively) as well as in words to develop a coherent [...]
Trace and evaluate the argument and specific claims in a text, distinguishing claims that are supported by reasons and evidence [...]
Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, [...]
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + [...]
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is [...]
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if [...]
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can [...]
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px [...]
Write an inequality of the form x > c or x < c to represent a constraint or condition in [...]
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation [...]
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it [...]
Understand that a set of data collected to answer a statistical question has a distribution which can be described by [...]
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, [...]
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Summarize and describe distributions. Summarize numerical data sets in relation to their context, such as by:
Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing [...]
Relating the choice of measures of center and variability to the shape of the data distribution and the context in [...]
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual [...]
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple [...]
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below [...]
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from [...]
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the [...]
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two [...]
Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs [...]
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, [...]
Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write –3°C > –7°C to [...]
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value [...]
Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars [...]
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates [...]
Write and evaluate numerical expressions involving whole-number exponents.
Write, read, and evaluate expressions in which letters stand for numbers.
Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y [...]
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of [...]
Find area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and [...]
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the [...]
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side [...]
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area [...]
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, [...]
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal [...]
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape [...]
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs [...]
Solve unit rate problems including those involving unit pricing and constant speed. For example, If it took 7 hours to [...]
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the [...]
