Vertical Line

A vertical line is a line that goes straight up and down. It has no slope and is always perpendicular to the horizontal axis.

Characteristics of a Vertical Line:

It has an undefined slope.
It passes through all points with the same x-coordinate.
Its equation is of the form x = k, where k is a constant.

Graphing a Vertical Line:

To graph a vertical line with equation x = k, simply draw a straight line that is perpendicular to the x-axis and passes through the point (k, 0).

Examples:

1. Graph the vertical line with equation x = 3.

2. Determine if the following equations represent vertical lines: a) y = 2x + 1 b) x = -4

Practice Problems:

Graph the vertical line with equation x = -2.
Identify the equation of the vertical line passing through the point (4, 0).

◂Math Worksheets and Study Guides Fifth Grade. Multiplication

Vocabulary/Answer key

Multiplication

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 5 Focal Points (NCTM)

Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).