This book presents Euclidean Geometry and was designed for a one-semester course preparing junior and senior level college students to teach high school Geometry. The book could also serve as a text for a junior level Introduction to Proofs course.
This 11-minute video lesson introduces conic sections.
Students will learn the basics of 3D modeling utilizing SketchUp Pro. Students first begin by observing the most unique building structures in the world. Then learn new skills and techniques through hands-on tutorials to learn how to create 3D models in SketchUp. Once armed with the basics, students will be tasked with creating a 3D replica of a building of their choice or one from their imagination.
This lesson is an introduction to scale copies for Math 7 students. This is a Desmos lesson. Some images and content were obtained from Open Up Resources: Download for free at openupresources.org.
Sal introduces the famous and super important Pythagorean theorem! This lesson includes an introduction video followed by examples and practice problems involving finding the hypotenuse, finding a side, finding area of an isosceles triangle, and determining if a triangle is a right triangle. It is followed by a unit on Pythagorean theorem applications.
This article is about the isoperimetric theorem. It states the theorem, explains its history and uses examples and exercises to demonstrate it. The resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.
An interactive applet and associated web page that demonstrate isosceles triangles (two sides the same length). The applet presents a triangle where the user can drag any vertex. As the vertex is dragged the others move automatically to keep the triangle isosceles. The angles are also updated continuously to show that the base angles are always congruent. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
This task is closely related to very important material about similarity and ratios in geometry.
Students will be able to use their knowledge of volume and surface area through this fun, hands-on activity.
The purpose of the module, A Sense of Wonder, is to encourage students to use inquisitive and persistent behaviors as they wonder about their world. The module extends the strategies introduced in prekindergarten. These strategies include using questions to approach problems and identifying attributes to sort, classify, and make inferences. The attribute strategies serve as the foundation for subsequent Grade One and Grade Two Primary Talent Development (PTD) modules. This module is meant for all students. The classroom teacher should work with a specialist or special educator to find or develop alternate activities or resources for visually impaired students, where appropriate.
This lesson unit is intended to help you assess how well students are able to: Perform arithmetic operations, including those involving whole-number exponents, recognizing and applying the conventional order of operations; Write and evaluate numerical expressions from diagrammatic representations and be able to identify equivalent expressions; apply the distributive and commutative properties appropriately; and use the method for finding areas of compound rectangles.
This series of lessons will teach all of the key features in Tinkercad, a free, web-based 3D design platform. When you have finished the lessons you will have a comprehensive knowledge of how to design/draw in 3D. After that all you need is practice to improve your skills.
This series of video screencasts will teach all of the key features in Tinkercad (a free, web-based 3D design platform). When you have finished viewing the videos you will have a comprehensive knowledge of how to design/draw in 3D.
Students explore in detail how the Romans built aqueducts using arches—and the geometry involved in doing so. Building on what they learned in the associated lesson about how innovative Roman arches enabled the creation of magnificent structures such as aqueducts, students use trigonometry to complete worksheet problem calculations to determine semicircular arch construction details using trapezoidal-shaped and cube-shaped blocks. Then student groups use hot glue and half-inch wooden cube blocks to build model aqueducts, doing all the calculations to design and build the arches necessary to support a water-carrying channel over a three-foot span. They calculate the slope of the small-sized aqueduct based on what was typical for Roman aqueducts at the time, aiming to construct the ideal slope over a specified distance in order to achieve a water flow that is not spilling over or stagnant. They test their model aqueducts with water and then reflect on their performance.
In addition to the purely geometric and trigonometric aspects of the task, this problem asks students to model phenomena on the surface of the earth.
An interactive applet and associated web page that demonstrate the definition of a line. The applet presents two points and a line that passes through them extending to infinity in both directions. As the points a re dragged the line moves but it is never possible to reveal a line end. See also the entries for line segment and ray. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet that allows the user to graphically explore the properties of a linear functions. Specifically, it is designed to foster an intuitive understanding of the effects of changing the two coefficients in the function y=ax+b. The applet shows a large graph of a quadratic (ax + b) and has two slider controls, one each for the coefficients a and b. As the sliders are moved, the graph is redrawn in real time illustrating the effects of these variations. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that demonstrate a bisector of a line segment. The applet shows a fixed line segment and another line that bisects it. The second line's endpoints can be dragged, but the line adjusts itself so that it always bisects the fixed line. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
In this activity, students explore the relationship among angles formed by a transversal and a system of two lines. In particular, they consider what happens when the two lines are parallel versus when they are not.
This short video and interactive assessment activity is designed to teach fifth graders about determining whether various shapes have lines of symmetry.