Study Guide: Acute Angles
Definition:
An acute angle is an angle that measures greater than 0 degrees and less than 90 degrees.
Examples:
- An angle of 30 degrees is an acute angle.
- An angle of 60 degrees is an acute angle.
- An angle of 89 degrees is also an acute angle.
How to Identify:
To identify an acute angle, simply measure the angle using a protractor. If the angle measures between 0 and 90 degrees, it is an acute angle.
Real-Life Examples:
Acute angles can be found in various real-life situations, such as the hands of a clock at 3 o'clock, the corner of a book, or the roof of a house.
Properties:
- Acute angles are always less than 90 degrees.
- The sum of two acute angles is always less than 180 degrees.
Practice Problems:
- Identify whether the following angles are acute or not:
- 45 degrees
- 120 degrees
- 80 degrees
- Find the measures of two acute angles that add up to 100 degrees.
[Acute Angle] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Fifth Grade. Measurement
Study Guide
Measurement 
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Fenced In
Activity LessonActivity LessonActivity LessonActivity LessonActivity LessonActivity LessonActivity LessonActivity LessonWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyVocabulary/Answer keyVocabulary/Answer keyVocabulary/Answer keyThe resources above cover the following skills:
Measurement (NCTM)
Understand measurable attributes of objects and the units, systems, and processes of measurement.
Understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute.
Understand the need for measuring with standard units and become familiar with standard units in the customary and metric systems.
Understand that measurements are approximations and how differences in units affect precision.
Apply appropriate techniques, tools, and formulas to determine measurements.
Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles.
Grade 5 Curriculum Focal Points (NCTM)
Geometry and Measurement and Algebra: Describing three-dimensional shapes and analyzing their properties, including volume and surface area
Students relate two-dimensional shapes to three-dimensional shapes and analyze properties of polyhedral solids, describing them by the number of edges, faces, or vertices as well as the types of faces. Students recognize volume as an attribute of three-dimensional space. They understand that they can quantify volume by finding the total number of same-sized units of volume that they need to fill the space without gaps or overlaps. They understand that a cube that is 1 unit on an edge is the standard unit for measuring volume. They select appropriate units, strategies, and tools for solving problems that involve estimating or measuring volume. They decompose three-dimensional shapes and find surface areas and volumes of prisms. As they work with surface area, they find and justify relationships among the formulas for the areas of different polygons. They measure necessary attributes of shapes to use area formulas to solve problems.