Geometry Standard for Grades 3–5

Angles and Symmetry

Apply transformations and use symmetry to analyze mathematical situations
• predict and describe the results of sliding, flipping, and turning two-dimensional shapes;
• describe a motion or a series of motions that will show that two shapes are congruent;
• identify and describe line and rotational symmetry in two- and three-dimensional shapes and designs.

Step 1

View the Symmetry animation. It is a great visual introduction.

Step 2

Visit these Websites and complete the activities.

	E-Lab Drag the line to the shapes to show the lines of symmetry.
	Innovations Learning Symmetry Game How many lines of symmetry does each shape have?
	Illuminations Compose equivalent transformations in two different ways.
	AAA Math Polygons Identify the names of polygons by size and angle.
	Utah Education Network Print the worksheet and label the angle as being acute, obtuse or right angle.

Geometry Standard for Grades 3–5

Spatial Sense

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
• identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes;
• classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids;

Use visualization, spatial reasoning, and geometric modeling to solve problems
• build and draw geometric objects;

Visit these Websites and complete the activities.

	E-Lab Patterns for Solid Figures Select the squares that fold into cubes.
	Wise Up Select a shape and complete the chart to show its properties.
	NCTM Create triangles using the online geoboard.
	NCTM Create polygons using the online geoboard.