Polygons

A polygon is a closed shape made up of straight lines. The most common types of polygons are triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, and decagons. Polygons can be regular or irregular, depending on whether all their sides and angles are equal or not.

Types of Polygons

1. Triangle: A polygon with three sides and three angles.

2. Quadrilateral: A polygon with four sides and four angles.

3. Pentagon: A polygon with five sides and five angles.

4. Hexagon: A polygon with six sides and six angles.

5. Heptagon: A polygon with seven sides and seven angles.

6. Octagon: A polygon with eight sides and eight angles.

7. Nonagon: A polygon with nine sides and nine angles.

8. Decagon: A polygon with ten sides and ten angles.

Properties of Polygons

1. Number of Sides: The number of sides in a polygon determines its name (e.g., pentagon has 5 sides).

2. Sum of Angles: The sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180 degrees.

3. Regular and Irregular Polygons: A regular polygon has all sides and angles equal, while an irregular polygon has unequal sides and angles.

Study Guide

1. Learn the names and properties of different types of polygons.

2. Practice identifying and drawing polygons of different types and sizes.

3. Understand the concept of interior angles and the formula for finding the sum of interior angles in a polygon.

4. Differentiate between regular and irregular polygons and be able to identify examples of each.

◂Math Worksheets and Study Guides Fifth Grade. Measurement

Life in the Wheel World

Line 1 cup Plot - Measurement

Vocabulary/Answer key

Measurement

Vocabulary/Answer key

Measurement

Vocabulary/Answer key

Fenced In

The 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.