- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
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…
- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, pa…
- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Apply and extend previous under…
- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
Apply properties of operations as strategies to add and subtract rational numbers.
- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
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 …
- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
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…
- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charg…
- standard
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
- 7th Grade
- Michigan State Math Standards
- The Number System
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal o…
- standard
Analyze proportional relationships and use them to solve real-world and mathematical problems
- 7th Grade
- Michigan State Math Standards
- Ratios and Proportional Relationships
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions…
- standard
Analyze proportional relationships and use them to solve real-world and mathematical problems
- 7th Grade
- Michigan State Math Standards
- Ratios and Proportional Relationships
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)…
- standard
Analyze proportional relationships and use them to solve real-world and mathematical problems
- 7th Grade
- Michigan State Math Standards
- Ratios and Proportional Relationships
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the r…
- standard
Analyze proportional relationships and use them to solve real-world and mathematical problems
- 7th Grade
- Michigan State Math Standards
- Ratios and Proportional Relationships
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- standard
Analyze proportional relationships and use them to solve real-world and mathematical problems
- 7th Grade
- Michigan State Math Standards
- Ratios and Proportional Relationships
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 obser…
- standard
Analyze proportional relationships and use them to solve real-world and mathematical problems
- 7th Grade
- Michigan State Math Standards
- Ratios and Proportional Relationships
Recognize and represent proportional relationships between quantities.