Operations in mathematics refer to the basic arithmetic functions of addition, subtraction, multiplication, and division. These operations are fundamental in solving mathematical problems and are used extensively in various mathematical concepts and applications.

Addition is the process of combining two or more numbers to find their total sum. The symbol used for addition is "+". For example:

5 + 3 = 8

12 + 7 = 19

Subtraction is the process of taking one number away from another. The symbol used for subtraction is "-". For example:

10 - 4 = 6

15 - 8 = 7

Multiplication is the process of repeated addition. The symbol used for multiplication is "x" or "*". For example:

3 x 4 = 12

5 * 6 = 30

Division is the process of splitting a number into equal parts. The symbol used for division is "÷" or "/". For example:

12 ÷ 3 = 4

20 / 5 = 4

Here are some key points to remember when working with operations in mathematics:

- Understand the meaning and use of each operation (addition, subtraction, multiplication, division).
- Practice solving problems involving each operation to build fluency and confidence.
- Learn the properties of operations, such as the commutative, associative, and distributive properties.
- Explore real-world applications of operations to understand their practical significance.
- Use calculators and other tools to check your work and verify solutions.

By mastering operations in mathematics, you will have a strong foundation for more advanced mathematical concepts and problem-solving skills.

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Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Develop an initial conceptual understanding of different uses of variables.

Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

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.