7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

MAT-07.NS.02 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

• a. 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.
  
• b. 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 products of rational numbers by describing real-world contexts.
  
• c. Apply properties of operations as strategies to multiply and divide ational numbers.
  
• d. 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.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

MAT-07.NS.02.a 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.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

MAT-07.NS.02.b 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 products of rational numbers by describing real-world contexts.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

MAT-07.NS.02.c Apply properties of operations as strategies to multiply and divide rational numbers.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

MAT-07.NS.02.d 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.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

MAT-07.NS.03 Solve real-world and mathematical problems involving the four operations with rational numbers.

Domain (RP)

Ratios and Proportional Relationships

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

MAT-07.RP.01 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

For example, If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction ½ / ¼ miles per hour, equivalently 2 miles per hour.

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

MAT-07.RP.02 Recognize and represent proportional relationships between quantities.

• a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
  
• b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
  
• c. Represent proportional relationships by equations.
  
• d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

Recognize and represent proportional relationships between quantities.

MAT-07.RP.02.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.