A number line is a visual representation of numbers as points on a straight line. It is a fundamental tool in mathematics for understanding and comparing numbers. Here are the key concepts to understand about the number line:

On the number line, numbers increase as you move to the right and decrease as you move to the left. The midpoint of the number line is usually marked as zero.

To plot a number on the number line, locate the corresponding point and mark it with a dot. For example, to plot the number 3, find the point three units to the right of zero and mark it with a dot.

When comparing numbers on the number line, larger numbers are to the right of smaller numbers. This visual representation makes it easier to see which number is greater or lesser.

On the number line, adding a positive number means moving to the right, while adding a negative number means moving to the left. Similarly, subtracting a positive number means moving to the left, and subtracting a negative number means moving to the right.

- Practice plotting different numbers on a number line.
- Use the number line to compare and order numbers.
- Practice adding and subtracting numbers on the number line to visualize the operations.

Understanding the number line is essential for developing a strong foundation in mathematics, especially when working with integers, fractions, and decimals.

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.