Mathematics Standards
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Expressions and Equations
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Measurement and Data
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Modeling with Geometry
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Ratios and Proportional Relationships
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Seeing Structure in Expressions
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Similarity, Right Triangles, and Trigonometry
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Showing 51 - 60 of 138 Standards
Standard Identifier: 6.EE.4
Grade:
6
Domain:
Expressions and Equations
Cluster:
Apply and extend previous understandings of arithmetic to algebraic expressions.
Standard:
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Standard:
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
Standard Identifier: 6.EE.5
Grade:
6
Domain:
Expressions and Equations
Cluster:
Reason about and solve one-variable equations and inequalities.
Standard:
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
Reason about and solve one-variable equations and inequalities.
Standard:
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
Standard Identifier: 6.EE.6
Grade:
6
Domain:
Expressions and Equations
Cluster:
Reason about and solve one-variable equations and inequalities.
Standard:
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.
Reason about and solve one-variable equations and inequalities.
Standard:
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.
Standard Identifier: 6.EE.7
Grade:
6
Domain:
Expressions and Equations
Cluster:
Reason about and solve one-variable equations and inequalities.
Standard:
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Reason about and solve one-variable equations and inequalities.
Standard:
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Standard Identifier: 6.EE.8
Grade:
6
Domain:
Expressions and Equations
Cluster:
Reason about and solve one-variable equations and inequalities.
Standard:
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Reason about and solve one-variable equations and inequalities.
Standard:
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Standard Identifier: 6.EE.9
Grade:
6
Domain:
Expressions and Equations
Cluster:
Represent and analyze quantitative relationships between dependent and independent variables.
Standard:
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Represent and analyze quantitative relationships between dependent and independent variables.
Standard:
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Standard Identifier: 6.RP.1
Grade:
6
Domain:
Ratios and Proportional Relationships
Cluster:
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
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 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
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 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”
Standard Identifier: 6.RP.2
Grade:
6
Domain:
Ratios and Proportional Relationships
Cluster:
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
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. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”
Footnote:
Expectations for unit rates in this grade are limited to non-complex fractions.
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
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. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”
Footnote:
Expectations for unit rates in this grade are limited to non-complex fractions.
Standard Identifier: 6.RP.3.a
Grade:
6
Domain:
Ratios and Proportional Relationships
Cluster:
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
Standard Identifier: 6.RP.3.b
Grade:
6
Domain:
Ratios and Proportional Relationships
Cluster:
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
Showing 51 - 60 of 138 Standards
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