Dimension

In mathematics, the term "dimension" refers to the measure of the size or extent of an object in a particular direction. It is used to describe the number of coordinates needed to locate a point in a space.

Types of Dimensions

There are several types of dimensions that are commonly studied:

One Dimension: A one-dimensional object has only length and can be represented by a straight line.
Two Dimensions: A two-dimensional object has length and width and can be represented on a plane or graph.
Three Dimensions: A three-dimensional object has length, width, and height and can be represented in 3D space.

Study Guide

Here are some key points to remember when studying dimensions:

Understand the concept of dimensionality and how it applies to different objects.
Practice drawing and visualizing objects in different dimensions.
Learn how to calculate the dimensions of geometric shapes using formulas.
Understand how dimensions are used in various mathematical and scientific fields.
Explore the concept of higher dimensions and their applications in advanced mathematics and physics.

By understanding the concept of dimension and practicing related problems, you can gain a solid grasp of this fundamental mathematical concept.

◂Math Worksheets and Study Guides Sixth Grade. Division

The resources above cover the following skills:

Connections to the Grade 6 Focal Points (NCTM)

Number and Operations: Students' work in dividing fractions shows them that they can express the result of dividing two whole numbers as a fraction (viewed as parts of a whole). Students then extend their work in grade 5 with division of whole numbers to give mixed number and decimal solutions to division problems with whole numbers. They recognize that ratio tables not only derive from rows in the multiplication table but also connect with equivalent fractions. Students distinguish multiplicative comparisons from additive comparisons.