Standard 2: PolygonsArchived

loading spinner
Export Print
Identify and describe polygons (triangles, quadrilaterals, pentagons, hexagons, etc.), using terms such as regular, convex, and concave. Find measures of angles, sides, perimeters, and areas of polygons, justifying the methods used. Apply transformations to polygons. Relate geometry to algebra by using coordinate geometry to determine transformations. Use algebraic reasoning to determine congruence, similarity, and symmetry. Create and verify tessellations of the plane using polygons.
General Information
Number: MA.912.G.2
Title: Polygons
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Geometry

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.912.G.2.In.a
Determine if polygons have all sides and angles equal (regular) or have sides or angles that are not equal (irregular) using physical and visual models.
MA.912.G.2.In.b
Use tools to measure angles including 45° and 90°.
MA.912.G.2.In.c
Identify triangles and rectangles that are the same shape and size (congruent) and same shape, but not same size (similar) using physical and visual models.
MA.912.G.2.In.d
Use physical and visual models to show that a change in orientation, such as turns (rotations), slides (translations), and flips (reflections), does not change the size or shape of a polygon.
MA.912.G.2.In.e
Find the perimeter and area of rectangles to solve real-world problems.
MA.912.G.2.In.f
Identify the effects of changes in the lengths of sides on the perimeter and area of rectangles using visual models to solve real-world problems.

Supported

MA.912.G.2.Su.a
Identify polygons with all sides and angles equal (regular) in the environment.
MA.912.G.2.Su.b
Use a model of a right triangle to compare the size of angles, such as acute, obtuse, and right angles.
MA.912.G.2.Su.c
Match triangles and rectangles that are same shape, but different size (similar) using physical and visual models.
MA.912.G.2.Su.d
Match identical polygons in different positions including turns (rotations), slides (translations), and flips (reflections), using physical models.
MA.912.G.2.Su.e
Solve real-world problems involving perimeter using visual models.
MA.912.G.2.Su.f
Solve real-world problems to find area of a rectangle to identify total square units using visual models.
MA.912.G.2.Su.g
Identify the effect of changes in the lengths of sides of rectangles on perimeter using physical and visual models.

Participatory

MA.912.G.2.Pa.a
Identify objects or pictures with polygons.
MA.912.G.2.Pa.b
Match two or more objects with polygons based on a given feature in real-world situations.
MA.912.G.2.Pa.c
Identify objects, pictures, or signs with polygons in real-world situations.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Image/Photograph

Clipart: Geometric Shapes:

In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

Type: Image/Photograph

Lesson Plans

Triangles: Finding Interior Angle Measures:

The lesson begins with a hands-on activity and then an experiment with a GeoGebra-based computer model to discover the Triangle Angle Sum Theorem. The students write and solve equations to find missing angle measures in a variety of examples.

Type: Lesson Plan

How does scale factor affect the areas and perimeters of similar figures?:

In this lesson plan, students will observe and record the linear dimensions of similar figures, and then discover how the values of area and perimeter are related to the ratio of the linear dimensions of the figures.

Type: Lesson Plan

Video/Audio/Animation

MIT BLOSSOMS - Using Geometry to Design Simple Machines:

This video is meant to be a fun, hands-on session that gets students to think hard about how machines work. It teaches them the connection between the geometry that they study and the kinematics that engineers use -- explaining that kinematics is simply geometry in motion.

Type: Video/Audio/Animation

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Image/Photograph

Clipart: Geometric Shapes:

In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

Type: Image/Photograph