Mathematics Standards
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Congruence
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Interpreting Categorical and Quantitative Data
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Number and Operations in Base Ten
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Ratios and Proportional Relationships
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The Number System
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The Real Number System
Results
Showing 51 - 60 of 138 Standards
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?
Standard Identifier: 6.RP.3.c
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. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
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. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Standard Identifier: 6.RP.3.d
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. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
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. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Standard Identifier: 7.NS.1.a
Grade:
7
Domain:
The Number System
Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Standard Identifier: 7.NS.1.b
Grade:
7
Domain:
The Number System
Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Standard Identifier: 7.NS.1.c
Grade:
7
Domain:
The Number System
Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Standard Identifier: 7.NS.1.d
Grade:
7
Domain:
The Number System
Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 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.
Standard:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Apply properties of operations as strategies to add and subtract rational numbers.
Showing 51 - 60 of 138 Standards
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