Whole numbers are the numbers 0, 1, 2, 3, 4, and so on. They do not include fractions or decimals.

Natural numbers are the numbers 1, 2, 3, 4, and so on. They do not include 0 or negative numbers.

Integers are the set of whole numbers and their negative counterparts, along with zero. For example, -3, -2, -1, 0, 1, 2, 3, and so on.

Rational numbers are numbers that can be expressed as a fraction, where the numerator and the denominator are both integers and the denominator is not zero. For example, 3/4, -2/5, 6, and -9 are all rational numbers.

Irrational numbers are numbers that cannot be expressed as a fraction. Their decimal representations go on forever without repeating. For example, the square root of 2 (√2) and π (pi) are irrational numbers.

Real numbers include all rational and irrational numbers. They can be plotted on the number line and used in all mathematical operations.

Prime numbers are numbers greater than 1 that have only two factors: 1 and the number itself. For example, 2, 3, 5, 7, and 11 are prime numbers.

- Practice identifying different types of numbers using number lines and examples.
- Memorize the first few prime numbers to quickly identify them in various problems.
- Work on simplifying fractions and understanding the relationship between rational and irrational numbers.

Study GuideIntroduction to Algebra Activity LessonAlgebraic Expression Cards Worksheet/Answer key

Introduction to Algebra Worksheet/Answer key

Introduction to Algebra Worksheet/Answer key

Introduction to Algebra Worksheet/Answer keyAlgebra Riddles

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.