Mathematics Standards
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Showing 31 - 40 of 51 Standards
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.
Standard Identifier: 7.NS.2.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 multiplication and division and of fractions to multiply and divide rational numbers. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products 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 multiplication and division and of fractions to multiply and divide rational numbers. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
Standard Identifier: 7.NS.2.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 multiplication and division and of fractions to multiply and divide rational numbers. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients 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 multiplication and division and of fractions to multiply and divide rational numbers. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.
Standard Identifier: 7.NS.2.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 multiplication and division and of fractions to multiply and divide rational numbers. Apply properties of operations as strategies to multiply and divide 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 multiplication and division and of fractions to multiply and divide rational numbers. Apply properties of operations as strategies to multiply and divide rational numbers.
Standard Identifier: 7.NS.2.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 multiplication and division and of fractions to multiply and divide rational numbers. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Standard Identifier: 7.NS.3
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:
Solve real-world and mathematical problems involving the four operations with rational numbers.
Footnote:
Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Standard:
Solve real-world and mathematical problems involving the four operations with rational numbers.
Footnote:
Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
Standard Identifier: 8.EE.1
Grade:
8
Domain:
Expressions and Equations
Cluster:
Work with radicals and integer exponents.
Standard:
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 × 3^-5 = 3^-3 = 1/3^3 = 1/27.
Work with radicals and integer exponents.
Standard:
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 × 3^-5 = 3^-3 = 1/3^3 = 1/27.
Standard Identifier: 8.EE.2
Grade:
8
Domain:
Expressions and Equations
Cluster:
Work with radicals and integer exponents.
Standard:
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Work with radicals and integer exponents.
Standard:
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Showing 31 - 40 of 51 Standards
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