Ohio Resource Center

# Ohio's Academic Content Standards in Mathematics

 Results 1 - 10 of 380: Return to Standard Ohio Standard: Geometry and Spatial Sense Standard
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1
Searching For The Center
ORC# 9001
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: This is a three-lesson unit in which students discover and apply points of concurrency of a triangle. The lessons are labs used to introduce the topics of incenter, circumcenter, centroid, circumscribed circle, and inscribed circle....
2
A Balancing Act II
ORC# 8999
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: In this lesson students learn the definition of median and investigate the centroid as the center of gravity. It is assumed that students can name and classify triangles by sides and angles and know basic terms, such as vertices and midpoint....
3
Concurrent Events: An Exploration of the Points of Concurrency in a Triangle Using Geometer's Sketchpad
ORC# 8911
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: This lesson enhances student knowledge of how to use Geometer's Sketchpad&trade; to explore geometric concepts that take much longer to do using hand-held tools, specifically in this case, the points of concurrency in a triangle. The unit begins with a key-by-key introduction to Sketchpad, followed by the construction of line segments, triangles, circles, perpendicular bisectors of...
4
What About Medians?
ORC# 8881
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students draw a triangle and the three medians of the triangle using Geometer's Sketchpad&reg;. The students identify and measure the line segments between the vertices of the triangle and the centroid and between the centroid and the midpoints of the opposite sides using dynamic geometry software....
5
Regular Pentagons, "Star Polygons," and the Golden Ratio
ORC# 8876
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 7–8
Professional Commentary: This learning unit helps students explore the golden ratio and golden rectangles and to find the golden ratio in regular pentagons and in the Fibonacci sequence. Students use Geometer's Sketchpad? to rotate, translate, and dilate various figures to solve problems....
6
Pythagorean Puzzle
ORC# 8875
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 7–8
Professional Commentary: In this self-guided investigation, students use Geometer?s Sketchpad &#174; to construct a right triangle and discover a geometric proof of the Pythagorean Theorem. Students test the geometric proof with acute and obtuse triangles....
7
Tangents, Secants, and Chords . . .OH MY!
ORC# 8873
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: Students use Geometer's Sketchpad? to explore numerous relationships among measures of central and inscribed angles, arc lengths, and lengths of chords, tangents, and secants. The software is integral to the lesson, and step-by-step instructions are provided....
8
Parallel Lines
ORC# 8872
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 7–12
Professional Commentary: Students use Geometer's Sketchpad? to explore relationships among the angles formed when parallel lines are cut by a transversal. The software is integral to the lesson, and step-by-step instructions are provided....
9
Detective Slope - An Investigation of the Slopes of Lines and Shapes
ORC# 8871
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: This learning unit is designed for students to investigate the definition of slope and the slopes of parallel and perpendicular lines. Students?are introduced to special parallelograms by applying the concept of slope using Geometer?s Sketchpad&#174;....
10
Pythagoras Wasn't Just a Square!
ORC# 8868
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 7–8
Professional Commentary: While most students are familiar with the Pythagorean Theorem (a2+ b2 = c2), many do not?realize why or how it works. With knowledge of similar figures, students can verify that the areas of any similar figures drawn on the sides of right triangles satisfy the Pythagorean relationship.?This lesson is designed to use?Geometer?s Sketchpad, and step-by-step instructions...
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