An interactive applet and associated web page showing how to find the …
An interactive applet and associated web page showing how to find the area and perimeter of a rectangle from the coordinates of its vertices. The rectangle can be either parallel to the axes or rotated. The grid and coordinates can be turned on and off. The area and perimeter calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the method for determining area and perimeter, a worked example and has links to other pages relating to coordinate geometry. 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.
Students practice human-centered design by imagining, designing and prototyping a product to …
Students practice human-centered design by imagining, designing and prototyping a product to improve classroom accessibility for the visually impaired. To begin, they wear low-vision simulation goggles (or blindfolds) and walk with canes to navigate through a classroom in order to experience what it feels like to be visually impaired. Student teams follow the steps of the engineering design process to formulate their ideas, draw them by hand and using free, online Tinkercad software, and then 3D-print (or construct with foam core board and hot glue) a 1:20-scale model of the classroom that includes the product idea and selected furniture items. Teams use a morphological chart and an evaluation matrix to quantitatively compare and evaluate possible design solutions, narrowing their ideas into one final solution to pursue. To conclude, teams make posters that summarize their projects.
This task is a reasonably straight-forward application of rigid motion geometry, with …
This task is a reasonably straight-forward application of rigid motion geometry, with emphasis on ruler and straightedge constructions, and would be suitable for assessment purposes.
The goal of this task is to give students an opportunity to …
The goal of this task is to give students an opportunity to experiment with reflections of triangles on a coordinate grid. Students are not prompted in the question to list the coordinates of the different triangle vertices but this is a natural extension of the task.
The goal of this task is to give students experience applying and …
The goal of this task is to give students experience applying and reasoning about reflections of geometric figures using their growing understanding of the properties of rigid motions. In the case of reflecting a rectangle over a diagonal, the reflected image is still a rectangle and it shares two vertices with the original rectangle.
This activity is one in a series of tasks using rigid transformations …
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 focusing on the class of equilaterial triangles. In particular, the task has students link their intuitive notions of symmetries of a triangle with statements proving that the said triangle is unmoved by applying certain rigid transformations.
This task examines some of the properties of reflections of the plane …
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.
This activity is one in a series of tasks using rigid transformations …
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.
An interactive applet and associated web page that show the relationship between …
An interactive applet and associated web page that show the relationship between the perimeter and area of a triangle. It shows that a triangle with a constant perimeter does NOT have a constant area. The applet has a triangle with one vertex draggable and a constant perimeter. As you drag the vertex, it is clear that the area varies, even though the perimeter is constant. Optionally, you can see the path traced by the dragged vertex and see that it forms an ellipse. A link takes you to a page where this effect is exploited to construct an ellipse with string and pins. The 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 Remote Learning Plan was created by Angela Schmit in collaboration with …
This Remote Learning Plan was created by Angela Schmit in collaboration with Tyler Cronin and Craig Hicks as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for Grades 7-12 general math students. Students will calculate the circumference and area of circles demonstrating their knowledge in a string activity. This Remote Learning Plan addresses the following NDE Standard: 7.3.3.c It is expected that this Remote Learning Plan will take students approximately 90 minutes to complete. Here is the direct link to the Google Doc: https://docs.google.com/presentation/d/1A2xTmzbR4YWsl68MNy2DOAJyY4UsRxXOKcN6J7pVW2M/edit?usp=sharing
This Remote Learning Plan was created by Robin Kuhlman in collaboration with Craig …
This Remote Learning Plan was created by Robin Kuhlman in collaboration with Craig Hicks and Tyler Cronin as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 6th-Grade Grade students. Students will determine location, orientation and relationship on the coordinate plane. Students will be able to use and identify all four quadrants on a coordinate plane.This Remote Learning Plan addresses the following NDE Standard: NE Math Standard: 6.3.2 It is expected that this Remote Learning Plan will take students two -thirty minutes classes to complete.
This Remote Learning Plan was created by Angela Schmit in collaboration with Tyler …
This Remote Learning Plan was created by Angela Schmit in collaboration with Tyler Cronin and Craig Hicks as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for Grade 9-10 Geometry students. Students will measure an object in the room and apply a dilation to reduce the object. This Remote Learning Plan addresses the following NDE Standard: 11.3.2.j It is expected that this Remote Learning Plan will take students approximately 90 minutes to complete. Here is the direct link to the Google Doc:https://docs.google.com/presentation/d/1bOPxmpu0JtFkEvGNjKQ5jkQmDrDZkyn6ipwMdE8vRCM/edit?usp=sharing
This Remote Learning Plan was created by Robin Kuhlman in collaboration with …
This Remote Learning Plan was created by Robin Kuhlman in collaboration with Craig Hicks and Tyler Conin as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 5th-Grade Math students. Students will be able to identify 3D shapes and describe their characteristics. This Remote Learning Plan addresses the following NDE Standard: NE Math Standard: 5.3.1
This Remote Learning Plan was created by Chelsey Greene in collaboration with …
This Remote Learning Plan was created by Chelsey Greene in collaboration with Rick Meyer as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 4th Grade Math students. Students will identify lines, line segments, points and rays. This Remote Learning Plan addresses the following NDE Standard: MA 4.3.1.c Identify and draw points, lines, line segments, rays, angles, parallel lines, perpendicular lines, and intersecting lines, and recognize them in two-dimensional figures.
This Remote Learning Plan was created by Becky Schueth in collaboration with Craig …
This Remote Learning Plan was created by Becky Schueth in collaboration with Craig Hicks and Tyler Cronin as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for Grades 9-11 Geometry students. Students will solve problems involving angle sum in polygons. This Remote Learning Plan addresses the following NDE Standard: MA 11.3.1.c. It is expected that this Remote Learning Plan will take students 120 minutes to complete. Here is the direct link to the Google Doc:https://docs.google.com/presentation/d/16WqWgnppJZhU4JyQyvj7afv3kG91vwpuVZdHTGwAOyg/edit?usp=sharing
This Remote Learning Plan was created by Deb Bulin in collaboration with Craig …
This Remote Learning Plan was created by Deb Bulin in collaboration with Craig Hicks and Tyler Cronin as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for grade 8 math students. Students will find missing angles when two parallel lines are cut by a transversal using knowledge of vertical angles, corresponding angles, alternate interior angles, alternate exterior angles and supplementary angles. This Remote Learning Plan addresses the following NDE Standard: 8.3.1 bIt is expected that this Remote Learning Plan will take students 60 to 120 minutes to complete.Here is the direct link to the Google Doc:https://docs.google.com/presentation/d/16yVz9cUpSKhD9XAOvH9w51qfV6WI_oBKYeIOeXIs-zY/edit?usp=sharing
This Remote Learning Plan was created by Chelsey Greene in collaboration with …
This Remote Learning Plan was created by Chelsey Greene in collaboration with Rick Meyer as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 4th Grade Math students. Students will learn how to find the Perimeter of a Polygon. This Remote Learning Plan addresses the following NDE Standards: *MA 4.3.3.a Apply perimeter and area formulas for rectangles. *MA 4.3.3.b Identify and use the appropriate tools, operations, and units of measurement, both customary and metric, to solve real-world problems involving time, length, weight, mass, capacity, and volume.
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