Ohio Resource Center

# Ohio's Academic Content Standards in Mathematics

 Results 1 - 8 of 8: Return to Grade 10 Indicators Ohio Standard: Geometry and Spatial Sense StandardGrade Level Indicator: (Grade: 10) 4. Construct right triangles, equilateral triangles, parallelograms, trapezoids, rectangles, rhombuses, squares and kites, using compass and straightedge or dynamic geometry software.
1
A Balancing Act II
ORC# 8999
Resource Information
Resource Type: Lessons
Discipline: Mathematics
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....
2
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
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...
3
Pythagorean Puzzle
ORC# 8875
Resource Information
Resource Type: Lessons
Discipline: Mathematics
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....
4
Pythagoras Wasn't Just a Square!
ORC# 8868
Resource Information
Resource Type: Lessons
Discipline: Mathematics
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...
5
Investigating Special Right Triangles and Area of a Regular Polygon
ORC# 8865
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This?3-lesson unit?engages students?in investigating special right triangle properties for both 30?? 60?? 90? and 45?? 45?? 90? triangles. Students develop the general formula for the area of any regular polygon using Geometer?s Sketchpad&#174; and apply special right triangle properties to find the area of equilateral triangles, squares, and hexagons....
6
Triangle Classification
ORC# 7880
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This lesson focuses on a problem:? Given a line segment AB in a plane, find all points C in the plane such that triangle ABC is (a) right, (b) acute, (c) obtuse, (d) isosceles, (e) scalene, or (f) equilateral. An applet, activity sheet, discussion questions, a lesson extension, suggestions for?assessment, and prompts for teacher reflection are...
7
Perplexing Parallelograms
ORC# 10350
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: A surprising result occurs when two line segments are drawn through a point on the diagonal of a parallelogram and parallel to the sides. From multiple instances of this construction, students?can arrive at?various conjectures....
8
Dueling Pinwheels
ORC# 1120
Resource Information
Resource Type: Content Supports -- Technologies
Discipline: Mathematics