Mathematics Standards
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Counting and Cardinality
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Expressions and Equations
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Reasoning with Equations and Inequalities
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Seeing Structure in Expressions
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Similarity, Right Triangles, and Trigonometry
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The Number System
Results
Showing 31 - 40 of 135 Standards
Standard Identifier: 6.NS.7.c
Grade:
6
Domain:
The Number System
Cluster:
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Understand ordering and absolute value of rational numbers. Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars.
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Understand ordering and absolute value of rational numbers. Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars.
Standard Identifier: 6.NS.7.d
Grade:
6
Domain:
The Number System
Cluster:
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Understand ordering and absolute value of rational numbers. Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Understand ordering and absolute value of rational numbers. Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.
Standard Identifier: 6.NS.8
Grade:
6
Domain:
The Number System
Cluster:
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Apply and extend previous understandings of numbers to the system of rational numbers.
Standard:
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Standard Identifier: 7.EE.1
Grade:
7
Domain:
Expressions and Equations
Cluster:
Use properties of operations to generate equivalent expressions.
Standard:
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Use properties of operations to generate equivalent expressions.
Standard:
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Standard Identifier: 7.EE.2
Grade:
7
Domain:
Expressions and Equations
Cluster:
Use properties of operations to generate equivalent expressions.
Standard:
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
Use properties of operations to generate equivalent expressions.
Standard:
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
Standard Identifier: 7.EE.3
Grade:
7
Domain:
Expressions and Equations
Cluster:
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Standard Identifier: 7.EE.4.a
Grade:
7
Domain:
Expressions and Equations
Cluster:
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Standard Identifier: 7.EE.4.b
Grade:
7
Domain:
Expressions and Equations
Cluster:
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
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.
Showing 31 - 40 of 135 Standards
Questions: Curriculum Frameworks and Instructional Resources Division |
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