N-Gen Math™ 7 Workbook

Standard Alignment

The N-Gen Math™ 7 workbook covers required topics aligned with the Next Generation Learning Standards (NGLS). Below are some of the key areas addressed in the workbook, though this is not a comprehensive list:

MP.1 Make sense of problems and persevere in solving them.
MP.2 Reason abstractly and quantitatively.
MP.3 Construct viable arguments and critique the reasoning of others.
MP.4 Model with mathematics.
MP.5 Use appropriate tools strategically.
MP.6 Attend to precision.
MP.7 Look for and make use of structure
NY-7.NS.1 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.
NY-7.NS.1.a Describe situations in which opposite quantities combine to make 0.
NY-7.NS.1.b Understand addition of rational numbers; interpret sums of rational numbers by describing real-world contexts.
NY-7.NS.1.c Understand subtraction of rational numbers as adding the additive inverse. Show that the distance between two rational numbers on the number line is the absolute value of their difference.
NY-7.NS.1.d Apply properties of operations as strategies to add and subtract rational numbers.
NY-7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
NY-7.NS.2.a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations.
NY-7.NS.2.b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers is a rational number.
NY-7.NS.2.c Apply properties of operations as strategies to multiply and divide rational numbers.
NY-7.NS.2.d Convert a fraction to a decimal using long division; know that the decimal form of a rational number terminates or repeats.
NY-7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.
NY-7.EE.3 Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers in any form.
NY-7.RP.1 Compute unit rates associated with ratios of fractions.
NY-7.RP.2 Recognize and represent proportional relationships between quantities.
NY-7.RP.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
NY-7.RP.2.d Explain what a point (x,y)(x, y)(x,y) on the graph of a proportional relationship means in terms of the situation, particularly (0,0)(0,0)(0,0) and (1,r)(1,r)(1,r), where rrr is the unit rate.

CCSS equivalent standards include:

CSS.MP.1 Make sense of problems and persevere in solving them.
CCSS.MP.2 Reason abstractly and quantitatively.
CCSS.MP.3 Construct viable arguments and critique the reasoning of others.
CCSS.MP.4 Model with mathematics.
CCSS.MP.5 Use appropriate tools strategically.
CCSS.MP.6 Attend to precision.
CCSS.MP.7 Look for and make use of structure.
CCSS.7.NS.1 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.
CCSS.7.NS.1.a Describe situations in which opposite quantities combine to make 0.
CCSS.7.NS.1.b Understand addition of rational numbers and interpret sums in real-world contexts.
CCSS.7.NS.1.c Understand subtraction of rational numbers as adding the additive inverse. Show that the distance between two rational numbers is the absolute value of their difference.
CCSS.7.NS.1.d Apply properties of operations as strategies to add and subtract rational numbers.
CCSS.7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
CCSS.7.NS.2.a Extend multiplication from fractions to rational numbers, ensuring properties of operations are maintained.
CCSS.7.NS.2.b Understand that integers can be divided, provided the divisor is not zero, and every quotient of integers is a rational number.
CCSS.7.NS.2.c Apply properties of operations as strategies to multiply and divide rational numbers.
CCSS.7.NS.2.d Convert a fraction to a decimal using long division; recognize that rational number decimals terminate or repeat.
CCSS.7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.
CCSS.7.EE.3 Solve multi-step real-world and mathematical problems involving positive and negative rational numbers in any form. Apply properties of operations to calculate efficiently.
CCSS.7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.
CCSS.7.RP.2 Recognize and represent proportional relationships between quantities.
CCSS.7.RP.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
CCSS.7.RP.2.d Explain what a point (x,y)(x, y)(x,y) on the graph of a proportional relationship represents in context, focusing on (0,0)(0,0)(0,0) and (1,r)(1, r)(1,r), where rrr is the unit rate.