Content Area: Math

 

Index: 4.2A Grade 4 CPI 1

 

Standard: 4.2 - Geometry and Measurement

 

Strand: A - Geometric Properties

 

Cumulative Progress Indicator: 1 -  The student will identify and describe spatial relationships of two or more objects in space

·       Direction, orientation, and perspectives (e.g., which object is on your left when you are standing here?)

·        Relative shapes and sizes

·        Shadows (projections) of everyday objects

 

 

Grade: 4

 

Sample Activities:

 

·        Students compare the sizes of the many shapes found in the classroom, such as the heights of students or the areas of their hands.

 

·        The teacher holds up a shape or describes a shape. Students locate this shape hidden in a box or bag containing a number of shapes, without looking at the shapes.

 

·        Students explore what happens to the shadow of a square when it is held at various angles to a beam of light. They continue their investigation with other two- and three-dimensional figures.

 

·        At half-hour intervals, students measure the length of the shadow of a stick stuck vertically into the ground.

 

·        Students trace the faces of a solid on a transparency and then challenge each other to identify the solid. They check their guess by bringing the solid to the overhead projector and placing it on each face in turn.

 

·        Students read Ellipse by Mannis Charosh. This one-concept book illustrates ellipses in all of their possible orientations and describes a variety of experiments that the students can perform to better understand the role of perspective in geometry.

 

·        Students predict the positions of three students from different points of view (perspective). For example, from the front of the room, they might see Joe on the left, Rhonda in the middle, and Carly on the right. From the back of the room, the positions would be reversed. Students find a perspective from which Rhonda is on the left, Carly is in the middle and Joe is on the right.