Mathematics Standards
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Circles
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Conditional Probability and the Rules of Probability
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Expressions and Equations
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Geometry
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Making Inferences and Justifying Conclusions
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Ratios and Proportional Relationships
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Seeing Structure in Expressions
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The Complex Number System
Results
Showing 31 - 40 of 170 Standards
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.G.1
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Standard Identifier: 6.G.2
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Standard Identifier: 6.G.3
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Standard Identifier: 6.G.4
Grade:
6
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
Standard:
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
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 31 - 40 of 170 Standards
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