http://www.oercommons.org/browse/keyword/triangles daily 1 2000-01-01T12:00+00:00 http://www.oercommons.org/courses/analyzing-congruence-proofs This lesson unit is intended to help teachers assess how well students are able to: work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles; Identify and understand the significance of a counter-example; Prove, and evaluate proofs in a geometric context. Mathematics and Statistics 2013-04-26T15:06:37 Course Related Materials http://www.oercommons.org/courses/solving-geometry-problems-floodlights This lesson unit is intended to help teachers assess how well students are able to identify and use geometrical knowledge to solve a problem. In particular, this unit aims to identify and help students who have difficulty in: making a mathematical model of a geometrical situation; drawing diagrams to help with solving a problem; identifying similar triangles and using their properties to solve problems; and tracking and reviewing strategic decisions when problem-solving. Mathematics and Statistics 2013-04-26T15:06:37 Course Related Materials http://www.oercommons.org/courses/geometry-problems-circles-and-triangles 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. Mathematics and Statistics 2013-04-26T15:06:36 Course Related Materials http://www.oercommons.org/courses/identifying-similar-triangles This lesson unit is intended to help you assess how students reason about geometry and, in particular, how well they are able to: use facts about the angle sum and exterior angles of triangles to calculate missing angles; apply angle theorems to parallel lines cut by a transversal; interpret geometrical diagrams using mathematical properties to identify similarity of triangles. Mathematics and Statistics 2013-04-26T15:06:35 Course Related Materials http://www.oercommons.org/courses/mathematics-essentials-q-4 Mathematics Essentials will improve student understanding of basic mathematics concepts and develop essential skills needed to be successful in the high school mathematics curriculum. The standards taught include arithmetic, algebraic reasoning, basic geometry concepts, and fundamental statistics. Math Essentials is ideally taught as a Tier 2 or Tier 3 intervention course, in conjunction with Algebra 1. This is the fourth of a four-quarter complete course that features audio-visual lectures. Mathematics and Statistics 2013-04-23T16:22:42 Course Related Materials http://www.oercommons.org/courses/pythagorean-theorem-prove-it During this lesson, eighth grade students will be introduced to the Pythagorean Theorem: a2+b2=c2. They will construct a right triangle on graph paper and draw squares on each side of the triangle. Mathematics and Statistics 2013-04-04T13:40:18 Course Related Materials http://www.oercommons.org/courses/have-your-math-and-eat-it-too In this two-day lesson, students will collaborate to create a healthy pizza using only geometric items that have been precisely measured. Students must identify the items as triangle, quadrilateral (parallelogram), or cube. Next, students will measure the items that they place on their pizza. Finally, students will bake their pizza; therefore, having their math and eating it, too! Mathematics and Statistics 2013-04-04T13:40:18 Course Related Materials http://www.oercommons.org/courses/quilting-with-my-pal-pythagoras In this unit lesson, students will learn about the Pythagorean Theorem and how it is evident in our everyday world. Students will apply the concept of the Pythagorean Theorem to the squares of a quilt. Each quilt square will be designed and crafted by a student. In the end, a beautiful quilt will be made with the help of Pythagoras himself! Mathematics and Statistics 2013-04-04T13:40:17 Course Related Materials http://www.oercommons.org/courses/a-triangle-to-remember This lesson will introduce students to different types of triangles by using a clip from the movie A Walk to Remember. They will take part in interactive tutorials to strengthen the concepts of classifying triangles. The students will then use features on Microsoft Word to create an interactive triangle poster and show what they know. Mathematics and Statistics 2013-04-04T13:40:16 Course Related Materials http://www.oercommons.org/courses/geometric-man The students will explore angles, rays, line segments, perpendicular lines, parallel lines, and two-dimensional figures through the use of the book "Shape Up! Fun With Triangles and Other Polygons" by David A. Adler. They will also classify quadrilaterals through an interactive website. Mathematics and Statistics 2013-04-04T13:40:14 Course Related Materials http://www.oercommons.org/courses/construct-this Students will construct equilateral triangles, squares, and regular hexagons inscribed in circles using the free GeoGebra computer program. Mathematics and Statistics 2013-04-04T13:40:09 Course Related Materials http://www.oercommons.org/courses/triangles-and-things The Greedy Triangle, a Marilyn Burns book, will assist students in determining the simple relationships among polygons. With a wish, the Greedy Triangle is transformed into various polygons. With the addition of a side and an angle, students will be able to determine the difference among triangles, quadrilaterals, pentagons, and hexagon. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation. Arts Humanities Mathematics and Statistics 2013-04-04T13:40:06 Course Related Materials http://www.oercommons.org/courses/i-can-determine-the-height-of-a-rocket The lesson is intended to give students a fun real-world experience in applying their math skills. They will use trigonometric ratios to calculate heights of tall structures. They will also use the Internet to convert their calculations from standard to metric units and visa versa. Mathematics and Statistics Science and Technology 2013-03-26T22:52:03 Course Related Materials http://www.oercommons.org/courses/right-triangles-inscribed-in-circles-ii The result here complements the fact, presented in the task ``Right triangles inscribed in circles I,'' that any triangle inscribed in a circle with one side being a diameter of the circle is a right triangle. A second common proof of this result rotates the triangle by 180 degrees about M and then shows that the quadrilateral, obtained by taking the union of these two triangles, is a rectangle. Mathematics and Statistics 2013-03-15T14:03:50 Course Related Materials http://www.oercommons.org/courses/why-does-sss-work This particular sequence of transformations which exhibits a congruency between triangles ABC and DEF used one translation, one rotation, and one reflection. There are many other ways in which to exhibit the congruency and students and teachers are encouraged to explore the different possibilities. Mathematics and Statistics 2013-03-15T14:03:50 Course Related Materials http://www.oercommons.org/courses/why-does-sas-work For these particular triangles, three reflections were necessary to express how to move from ABC to DEF. Sometimes, however, one reflection or two reflections will suffice. Since any rigid motion will take triangle ABC to a congruent triangle DEF, this shows the remarkable fact that any rigid motion of the plane can be expressed as one reflection, a composition of two reflections, or a composition of three reflections. Mathematics and Statistics 2013-03-15T14:03:49 Course Related Materials http://www.oercommons.org/courses/why-does-asa-work The two triangles in this problem share a side so that only one rigid transformation is required to exhibit the congruence between them. In general more transformations are required and the "Why does SSS work?'' and "Why does SAS work?'' problems show how this works. Mathematics and Statistics 2013-03-15T14:03:49 Course Related Materials http://www.oercommons.org/courses/when-does-ssa-work-to-determine-triangle-congruence The triangle congruence criteria, SSS, SAS, ASA, all require three pieces of information. It is interesting, however, that not all three pieces of information about sides and angles are sufficient to determine a triangle up to congruence. In this problem, we considered SSA. Also insufficient is AAA, which determines a triangle up to similarity. Unlike SSA, AAS is sufficient because two pairs of congruent angles force the third pair of angles to also be congruent. Mathematics and Statistics 2013-03-15T14:03:49 Course Related Materials http://www.oercommons.org/courses/reflections-and-isosceles-triangles This activity is one in a series of tasks using rigid transformations of the plane to explore symmetries of classes of triangles, with this task in particular focussing on the class of isosceles triangles. Mathematics and Statistics 2013-03-15T14:03:49 Course Related Materials http://www.oercommons.org/courses/reflections-and-equilateral-triangles-ii This task examines some of the properties of reflections of the plane which preserve an equilateral triangle: these were introduced in ''Reflections and Isosceles Triangles'' and ''Reflection and Equilateral Triangles I''. The task gives students a chance to see the impact of these reflections on an explicit object and to see that the reflections do not always commute. Mathematics and Statistics 2013-03-15T14:03:49 Course Related Materials