Volume: The measurement of the amount of space occupied by a three-dimensional object, often measured in cubic units like cubic inches, cubic feet, cubic meters, or liters.
Weight: The measurement of the heaviness of an object, commonly measured in units such as pounds, ounces, kilograms, or grams.
Units of measure are standardized quantities used to express measurements. For example, the standard unit of length in the metric system is the meter, while in the customary system, it is the foot. Similarly, the standard unit of weight in the metric system is the gram, while in the customary system, it is the pound.
Study Guide
Here are some key points to remember when studying measures:
Learn the standard units of measure for each type of measurement.
Practice converting between different units of measure within the same system (e.g., meters to centimeters) and between different systems (e.g., meters to feet).
Use measurement tools such as rulers, tape measures, scales, and clocks to gain hands-on experience with measuring different quantities.
Apply measurement concepts to real-world problems and scenarios to understand the practical significance of measures.
By understanding the concept of measure and mastering the skills related to different types of measurements and units, you will be well-prepared to solve a variety of mathematical problems and make sense of the world around you.
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)
Algebra: Students use patterns, models, and relationships as contexts for writing and solving simple equations and inequalities. They create graphs of simple equations. They explore prime and composite numbers and discover concepts related to the addition and subtraction of fractions as they use factors and multiples, including applications of common factors and common multiples. They develop an understanding of the order of operations and use it for all operations.