High School Geometry

James Matte, Joshua LociceroMED 600Fall 2013

Kindergarten-6th Grade

The topics of geometry build upon itself as progress through the curriculum

Many of the topics throughout are very similar, especially in the lower grades

There are connections that can be made across the grade levels

Students use prior knowledge in each grade level to gain a greater understanding of the topics.

Certain grade levels can be grouped together based on their conceptual category.

What was learned?

For Kindergarten to grade 5, there are grade-specific standards.

There are various tools available for teachers that correlate with each standard for Geometry.

A teacher should have a basic understanding of high school geometry in order to teach it in grades K-5.

As you progress through the curriculum, topics go deeper

Teachers should concentrate on geometry, spatial relations and measurement.

What do teachers need to know to teach the curriculum?

Standards are the same in both grades.

Pre-K and Kindergarten

These grades have the same conceptual category

1st through 3rd Grade

4th Grade

5th Grade

6th Grade

Grades 7-12

Students build upon their prior knowledge of geometry by developing new properties for shapes.

Students gain a deeper understanding of geometry throughout the grades that will allow students to prove geometric concepts.

The concepts learned in high school geometry are an extension of the geometry learned in the grades K-8

Most of the concepts taught in high school geometry are contained within the one year Geometry course.

What was learned?

The geometry standards for secondary mathematics is grade specific only for grades 7 and 8.

High school geometry focuses on six main strands: (1) Congruence, (2) Similarity, Right Triangles, and Trigonometry, (3) Circles, (4) Expressing Geometric Properties and Equations, (5) Geometric Measurement and Dimension, and (6) Modeling in Geometry.

Some of the concepts in high school geometry build upon prior knowledge from grades 7 and 8 (Example: Transformations)

Students apply their knowledge of area and volume from earlier grades when finding the area or volume of two and three dimensional shapes.

What was learned (continued)

The standards are grade specific for Grades 7 and 8 but not for high school geometry.

A teacher should have a basic understanding of the geometry taught in grades K-6 in order to better teach geometry in the secondary school.

The geometric concepts in secondary school mathematics are an extension of concepts learned in previous grades.

Teachers should place an emphasis on measurement, geometric relationships, and modeling.

What teachers need to know to teach the curriculum:

7th Grade

8th Grade

High School

See curriculum story document