Interactivate: Standard Expectation

12 items total

Organization: National Council of Teachers of Mathematics
Grade Band: Grades 3 - 5
Standard Goal: Geometry

classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids
explore congruence and similarity
identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes
investigate, describe, and reason about the results of subdividing, combining, and transforming shapes
make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions
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classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids

Sorting with Venn Diagrams	Lesson: Students learn how to classify items and numbers on Venn Diagrams using computer applets.
Tessellate!	Activity: Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.

explore congruence and similarity

Tessellate!

Activity: Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.

identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes

Sorting with Venn Diagrams	Lesson: Students learn how to classify items and numbers on Venn Diagrams using computer applets.
Angles (elementary)	Lesson: Students learn about classifying angles by their measure and in relation to angles formed by two lines crossed by a transversal.
Tessellate!	Activity: Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.

investigate, describe, and reason about the results of subdividing, combining, and transforming shapes

Introduction to Fractals: Infinity, Self-Similarity and Recursion	Lesson: Introduces students to the ideas involved in understanding fractals.
Patterns in Fractals	Lesson: Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Tessellate!	Activity: Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.
Sierpinski's Carpet	Activity: Step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Sierpinski's Triangle	Activity: Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.

make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions

Tessellate!