- Abstract:
-
Vision system detects a Lines and punches two holes 14" apart.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Secondary, Post-secondary
- Collection:
- GeoGebraTube
Vision system detects a Lines and punches two holes 14" apart.
Determine if the triangle is a right triangle.
In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other focuses them on the work of standard G-SRT.2, using the definition of similarity in terms of similarity transformations.
This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot.
This lesson unit is intended to help teahcers assess how well students solve problems involving measurement, and in particular, to identify and help students who have the following difficulties; computing measurements using formulas; decomposing compound shapes into simpler ones; using right triangles and their properties to solve real-world problems.
A right triangle revolved around its height generate a cone
Quick sketch for the blog carnival Math Teachers at Play see: bit.ly/MTAP47
This task gives students the opportunity to verify that a dilation takes a line that does not pass through the center to a line parallel to the original line, and to verify that a dilation of a line segment (whether it passes through the center or not) is longer or shorter by the scale factor.
This short activity is designed to help students understand and articulate the relationship between sides in special right triangles.
This tasks examines how to calculate the area of an equilateral triangle using high school geometry.
In this activity, learners arrange triangles together to make patterns to create paper quilts. Learners experiment arranging the triangles in different ways to make various designs. Use this activity to illustrate how triangles can be combined to make other shapes, reflection, and the different types of triangles (isosceles, right, equilateral, scalene). This resource includes the quilt templates and shapes.
This task complements ``Seven Circles'' I, II, and III. This is a hands-on activity which students could work on at many different levels and the activity leads to many interesting questions for further investigation.
This task provides an opportunity to model a concrete situation with mathematics. Once a representative picture of the situation described in the problem is drawn (the teacher may provide guidance here as necessary), the solution of the task requires an understanding of the definition of the sine function. When the task is complete, new insight is shed on the ``Seven Circles I'' problem which initiated this investigation as is noted at the end of the solution.
This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have the following difficulties: solving problems by determining the lengths of the sides in right triangles; and finding the measurements of shapes by decomposing complex shapes into simpler ones. The lesson unit will also help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches.
This geometry lesson is an introduction to the Pythagorean Theorem and shows how to calculate the length of the hypotenuse of a right triangle. [Geometry playlist: Lesson 14 of 31]
This geometry lesson provides a proof that a triangle inscribed in a circle and having the circle's diameter as one side is right triangle. [Geometry playlist: Lesson 26 of 31]
CK-12's Texas Instruments Geometry Student Edition Flexbook is a useful collection of exercises intended to enrich a student's understanding of basic geometric principles.
This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, it will help you identify and help students who have difficulty: decomposing complex shapes into simpler ones in order to solve a problem; bringing together several geometric concepts to solve a problem; and finding the relationship between radii of inscribed and circumscribed circles of right triangles.
This task is closely related to very important material about similarity and ratios in geometry.
The purpose of this task is to engage students in an open-ended modeling task that uses similarity of right triangles, and also requires the use of technology.