Deck 20: Geometric Thinking and Geometric Concepts

Question 1

Tangrams and pentominoes are examples of physical materials that can be used to do all of the following EXCEPT:

A)Create tessellations.
B)Sort and classify.
C)Compose and decompose.
D)Explore two-dimensional models.

Answer 1

Compose and decompose.

Question 2

What statement would be the description of Visualization?

A)Positional descriptions- above,below,beside.
B)Changes in position or size of a shape.
C)Intuitive idea of how shapes fit together.
D)Geometry in the minds eye.

Answer 2

Changes in position or size of a shape.

Question 3

Describe two instructional implications for moving students from level 1 to 2.Explain an activity for each of the implications.

Answer 3

Instructional Implication 1: Provide scaffolding and support for students at level 1 to help them progress to level 2. One activity to support this implication could be to use graphic organizers to help students organize their thoughts and ideas. For example, a teacher could provide a graphic organizer for a writing assignment, with spaces for the introduction, body paragraphs, and conclusion. This visual aid can help students at level 1 to better understand the structure of their writing and how to organize their ideas effectively.

Instructional Implication 2: Offer differentiated instruction to meet the diverse needs of students at level 1 and 2. An activity to support this implication could be to provide choice in assignments. For example, a teacher could offer a menu of different project options for a science assignment, allowing students to choose the one that best suits their learning style and level of understanding. This allows students at level 1 to engage with the material in a way that is accessible to them, while also challenging students at level 2 to take on more complex tasks.

Question 4

What are the reasons and purpose for engaging children in construction activities when learning geometry?

Question 5

What would be a signature characteristic of a van Hiele level 2 activity?

A)Students can use dot or line grids to construct tessellations.
B)Students can classify properties of quadrilaterals.
C)Students can use logical reasoning about properties of shapes.
D)Students can prepare informal arguments about properties of shapes.

Question 6

What is the name given to a set of completely regular polyhedrons?

A)Polyhedron solid.
B)Platonic solids.
C)Polyominoid figures.
D)Polydron shape.

Question 7

The activities listed below would guide students in exploring the geometric content of location.Identify the one that can also be used with transformations.

A)Pentomino positions.
B)Paths.
C)Coordinate reflections.
D)Coordinate slides.

Question 8

What is the purpose of the activity "Minimal Defining Lists"?

A)To list the many properties of shapes.
B)To list the classes of shapes.
C)To list the subset of the properties of a shape.
D)To list the relationships between the properties of shapes.

Question 9

The study of transformations includes all of the categories below EXCEPT:

A)Line symmetry.
B)Translations.
C)Compositions.
D)Dilations.

Question 10

Movements that do not change the size or shape of the object are called 'rigid motions.Identify the movement below that would NOT be considered as rigid.

A)Reflections.
B)Translations.
C)Tessellations.
D)Rotations.

Question 11

Identify what a student product of thought at van Hiele level zero visualization would be.

A)Shapes are alike.
B)Grouping shapes that are alike.
C)Classifying shapes that are alike.
D)Identifying attributes of shapes that are alike.

Question 12

What would be an advantage of dynamic geometry programs over the use of paper pencil and geoboards?

A)Shapes can be stretched and more examples of the class of that shape
B)Construct visual model of shapes.
C)Construction of points,lines and figures.
D)Shapes can be moved about and manipulated

Question 13

Describe three activities that support learning experiences with composing and decomposing shapes.

Question 14

The following are all elements of effective early elementary geometry instruction EXCEPT:

A)Opportunities for students to examine an array of shape classes.
B)Opportunities for students to discuss the properties of shapes.
C)Opportunities for students to use physical materials.
D)Opportunities for students to learn the vocabulary.

Question 15

Categories of two-dimensional shapes include the following EXCEPT:

A)Triangles.
B)Cylinders.
C)Simple closed curves.
D)Convex quadrilaterals.

Question 16

Describe one of the major content goals in geometry,why it is important,and an activity that could help students develop conceptual understanding of a topic that falls into this content goal.