Educator Resources

PowerPoint, Articles, Activities and Information on Geometry

An overview of the new standards and assessments, with particular emphasis on topics new to this course:

PowerPoint Teaching High School Geometry

01 Course Descriptions HS Brief descriptions of all three new high school mathematics courses.

02 New Regents Implementation and Transition Timeline Schedule for the phasing in of the new Regents exams and phasing out of the Math A and Math B exams.

03 ATS Codes Algebra and Geometry

04 Geometry Topics A one-page overview of all topics in the new course.

05 Geometry Performance Indicators (Content Strand) A comprhensive list of all 74 performance indicators (i.e., topics) in the new course.

06 Geometry Sample Tasks For each performance indicator (both under content and process strands), one or more examples of tasks which students should be expected to perform.

07 NY Geometry Strand Trace This document indicates the grades in elementary and middle school where geometry topics were first introduced.

08 Crosswalk Geometry This document from the NY State Education Department is useful for indicating, for each performance indicator, which course it was previously taught in, whether Math A or Math B or elsewhere. Warning: it is less reliable when indicating topics that were not previously addressed. For that purpose refer instead to the document below.

09 Topics New to the Geometry Course A one-page overview of topics not previously addressed in Math A or Math B, or even in Sequential Math before them.

10 Geometry Test Specifications Number of questions, point value, estimated weight of each band and copy of formula sheet provided for each student.

11 Table of Contents - Mathematics Toolkit Links to additional resources at the NY State Education Department website, including glossaries for the new high school courses.

12 Geometry Vocabulary With illustrations, including both two- and three-dimensional figures.

13 Project MATHEMATICS Inexpensive DVDs produced by CalTech on high school mathematics topics, mostly geometry.

14 Volume and Surface Area of a Rectangular Prism Activity relating dimensions, volume and surface areas of various rectangular prisms.

15 Area without Numbers Part 1 Manipulative activity comparing areas of a circle and various polygons. (Description)

16 Area without Numbers Part 2 Sheet of figures to be cut out for activity described above.

17 Semantic Features Graphic organizer for activity to compare and contrast properties of various polygons.

18 Center of a Circle Activity in which students are given circles and a set of mathematical tools. Using the tools, they must find several ways to locate the center of a circle.

19 Symmetry Introduction to concepts of symmetry.

20 Fold and Punch Manipulative activity: given a square piece of paper and a one-hole punch, students must recreate a pattern of holes by folding the paper and punching one hole.

21 Fold and Punch Key Solutions for above activity.

22 Venn Symmetry Activity involving classification of letters, or sequences of letters, of the alphabet according to the types of symmetry they display.

23 Area of a Triangle on the Coordinate Plane Activity involving finding possible locations for the third vertex of a triangle of given area, on the coordinate plane.

24 Paper Cylinder Activity involving a comparison of the volumes of two cylinders. Follow-up question: what is the ratio of the volumes of these cylinders?

25 Geometry NCTM Article Describing the changing nature of geometry instruction and introducing some of the ideas of Pierre van Hiele (see more information below).

An introduction to the work of PierreVan Hiele on levels of geometric understanding:

26 Van Hiele Framework

27 Van Hiele Implications for Classroom Strategies

28 Van Hiele Play