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Mixed Operations - Fractions, Decimals, Integers

7th Grade

Alabama Course of Study Standards: 4.d

Use a number line to demonstrate 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.

Arizona - K-12 Academic Standards: 7.NS.A.1d

Common Core State Standards: Math.7.NS.1d or 7.NS.A.1.D

Kentucky Academic Standards (KAS): 7.NS.1.d

Mississippi College- and Career-Readiness Standards: 7.NS.1d

North Carolina - Standard Course of Study: 7.NS.1.d

Apply properties of operations as strategies to add and subtract rational numbers.

Georgia Standards of Excellence (GSE): 7.NR.1.5

Apply properties of operations, including part-whole reasoning, as strategies to add and subtract rational numbers.

Arkansas Academic Standards: 7.NS.A.2.C

Fluently multiply and divide rational numbers by applying properties of operations as strategies

Arizona - K-12 Academic Standards: 7.NS.A.2c

Common Core State Standards: Math.7.NS.2c or 7.NS.A.2.C

Kentucky Academic Standards (KAS): 7.NS.2.c

Mississippi College- and Career-Readiness Standards: 7.NS.2c

Apply properties of operations as strategies to multiply and divide rational numbers.

Georgia Standards of Excellence (GSE): 7.NR.1.9

Apply properties of operations as strategies to solve multiplication and division problems involving rational numbers represented in an applicable scenario.

North Carolina - Standard Course of Study: 7.NS.2.c

Use division and previous understandings of fractions and decimals.
  • Convert a fraction to a decimal using long division.
  • Understand that the decimal form of a rational number terminates in 0s or eventually repeats.

Alabama Course of Study Standards: 5

Solve real-world and mathematical problems involving the four operations of rational numbers, including complex fractions. Apply properties of operations as strategies where applicable.

Arkansas Academic Standards: 7.NS.A.3

Solve real-world and mathematical problems involving the four operations with rational numbers, including but not limited to complex fractions

Arizona - K-12 Academic Standards: 7.NS.A.3

Solve mathematical problems and problems in real-world context involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions where a/b ÷ c/d when a,b,c, and d are all integers and b,c, and d ≠ 0.

Common Core State Standards: Math.7.NS.3 or 7.NS.A.3

Solve real-world and mathematical problems involving the four operations with rational numbers.

Georgia Standards of Excellence (GSE): 7.NR.1.11

Solve multi-step, contextual problems involving rational numbers, converting between forms as appropriate, and assessing the reasonableness of answers using mental computation and estimation strategies.

Massachusetts Curriculum Frameworks: 7.NS.A.3

Solve real-world and mathematical problems involving the four operations with integers and other rational numbers.24

North Carolina - Standard Course of Study: 7.NS.3

Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four operations.

New York State Next Generation Learning Standards: 7.NS.3

Solve real-world and mathematical problems involving the four operations with rational numbers.
Note: Computations with rational numbers extend the rules for manipulating fractions to complex fractions limited to a/b / c/d where a, b, c, and d are integers and b, c, and d ≠ 0.

Ohio's Learning Standards: 7.NS.3

Solve real-world and mathematical problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions.

Tennessee Academic Standards: 7.NS.A.3

Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

Wisconsin Academic Standards: 7.NS.A.3

Solve real-world and mathematical problems involving the four operations with rational numbers.
(Note: Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

Pennsylvania Core Standards: CC.2.1.7.E.1

Apply and extend previous understandings of operations with fractions to operations with rational numbers.

Pennsylvania Core Standards: M07.A-N.1.1.3

Apply properties of operations to multiply and divide rational numbers, including real-world contexts; demonstrate that the decimal form of a rational number terminates or eventually repeats.

Georgia Standards of Excellence (GSE): 7.NR.1.10

Convert rational numbers between forms to include fractions, decimal numbers and percentages, using understanding of the part divided by the whole. Know that the decimal form of a rational number terminates in 0s or eventually repeats.

Georgia Standards of Excellence (GSE): 7.NR.1.11

Solve multi-step, contextual problems involving rational numbers, converting between forms as appropriate, and assessing the reasonableness of answers using mental computation and estimation strategies.

7th Grade Math - Mixed Operations - Fractions, Decimals, Integers Lesson
 






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