**Closure:**When you add, subtract, or multiply two whole numbers, the result is also a whole number.**Associative Property:**The way in which numbers are grouped in addition or multiplication does not affect the result.**Commutative Property:**The order in which numbers are added or multiplied does not affect the result.**Identity Property:**When you add 0 to a whole number, the result is the whole number itself. When you multiply a whole number by 1, the result is the whole number itself.**Distributive Property:**a × (b + c) = a × b + a × c

**Addition:**Combining two or more whole numbers to find their total sum.**Subtraction:**Finding the difference between two whole numbers.**Multiplication:**Repeated addition of a whole number by another whole number.**Division:**Sharing a whole number into equal parts.

- Identify the place value of digits in a whole number.
- Compare and order whole numbers.
- Perform addition, subtraction, multiplication, and division of whole numbers.
- Understand and apply the properties of whole numbers in mathematical operations.
- Solve word problems involving whole numbers.

Study GuideUsing Integers Worksheet/Answer key

Using Integers Worksheet/Answer key

Using Integers Worksheet/Answer key

Using Integers Worksheet/Answer keyUsing Integers

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop meaning for integers and represent and compare quantities with them.

Understand meanings of operations and how they relate to one another.

Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

Compute fluently and make reasonable estimates.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.