Many of the concepts that we will study can be generalized to rigid motions of 3dimensional space and the symmetry of solid figures, but time wont permit us to explore this. Precut wax paper sheets let you separate burgers, cheese slices, steaks, cuts of fish, crab cakes, cookies, and so many other things that youd be hungry by the time we got done listing them. Buy hamburger patty paper sheets, wax paper squares 250 pcs 6 x 6 nonstick at. Patty paper geometry reflections on thecoordinate plane using patty paper drawing reflections on a coordinate graph using patty paper. Just a guess, here patty paper could be used as manipulatives in a classroom. Slide the patty paper about 2 inches to the northeast. Draw two parallel lines on a piece of patty paper as shown above and label l. Join the vertices with segments drawn with a straight edge, which.
On your patty paper, trace the xaxis, the yaxis, and the trapezoid. Buy a cheap copy of patty paper geometry book by michael serra. Anyone who works in a kitchen can tell you how much they need the weston dry waxed patty paper sheets 5. Jun 15, 2015 saw this interesting recommendation from kate nowak on twitter last week. Student workbook by michael serra patty paper geometry. Patty paper geometry includes dozens of activities that foster cooperative learning, increase. Make a small with arrow pointing up to indicate location of axes.
Flip the second piece of patty paper over and place it under the first so that the lines and the point coincide. Lets use patty paper to investigate the figure shown. An introduction to transformations ready summary in this lesson, participants are introduced to the concept of transformations through two handson activities. Step 1 draw a polygon and a line of reflection next to it on a piece of patty paper. Use patty paper to compare the sizes of the sides and angles in the. Perform the rotation about the origin using patty paper and record.
Patty paper was originally created for separating patties of meat. Grade 8 student packet 10 practice with rotations for each row. Furthermore, these workbooks help facilitate cooperative learning, which encourages them to participate as part of a teaman essential tool when preparing for life in college. Reflect the trapezoid across the xaxis by folding the patty paper along the xaxis. Discovering the four different points of concurrency in triangles was the first set of investigations my students performed with patty papers, and the list of discoveries quickly grew. The problem gave the kids a bit of trouble heres their conversation about it. The book and some extra patty paper arrived today and it looks. Reflect the trapezoid across the xaxis by folding the patty paper along. Step 2 fold your patty paper so that endpoints q and d coincide. Step 5 fold your patty paper so that endpoints q and a coincide. They learn that a transformation is a mapping of the plane onto itself, and some. Using patty paper geometry the students in my class were successful from the start. Little did the inventors know that t cou d also serve as a powerful geometric tool. Since the paper that separates hamburger patties is square, you could explore numbers that are perfect squares, you could make tangrams, you could discuss area vs.
Patty paper geometry was designed as a resource to supplement high school geometry courses or as a text in pre geometry, prealgebra, and middle grades mathematics programs. Transformational geometry reflections, rotations, and translations have become a significant part of the new geometry course in the common core state standards. Fold the patty paper so that points a and b, the two end points of the segment you drew on the patty paper, coincide with each other. Use patty paper to compare the sizes of the sides and angles. Patty paper is great paper to investigate geometric properties. Rotate the entire piece of patty paper 90 counterclockwise about the origin. Feb 07, 2008 just a guess, here patty paper could be used as manipulatives in a classroom. Make sure that the edges of your patty paper lie on top of the xaxis and yaxis. At the end of their investigations, students have discovered most of the. With that patty paper exercise as preparation, we looked at a viral geometry problem from last week. The main file is a smart notebook file to engage students using the patty paper constructions to discover properties about a perpendicular bisector. An investigation set may take two to three days, and the exercise sets may take an additional two to three days.
Student workbook by michael serra pdf, epub ebook d0wnl0ad written by the best selling author of discovering geometry, patty paper geometry student is the workbook to patty paper geometry. Use patty paper geometry as a supplement to your geometry program or even as a major course of study. Patty paper can be used as a construction tool in geometry. Patty paper geometry, 1994, 262 pages, michael serra. Patty paper is a thin wax paper commonly used between uncooked hamburger patties. Open investigations encourage students to explore their own methods of discovery, and guided investigations provide more direction to. I found one that seemed fairly easy to implement and gave it a shot with both. I found one that seemed fairly easy to implement and gave it a shot with both kids. Written by the best selling author of discovering geometry, patty paper geometry contains 12 chapters of guided and open investigations. This is the march 2015 version of the high school mathematics model curriculum for the conceptual category geometry. Geometry in grades 68, 2002, chapter 3 transformations and. Basically, it provides handson activities so students can see what they are learning. The project is a little lesson about the perpendicular.
Manufactured in squares, you can write on the paper and see creases and traces when you fold them. Furthermore, these workbooks help facilitate cooperative learning, which encourages them to participate as part of a team. The conceptual categories number and quantity, algebra, functions, modeling, geometry, and statistics and probability do not directly align with high school mathematics courses. Patty paper triangle translation construction youtube. Patty paper tasks and with the rich opportunities for clarifying language and notation. Draw a triangle and a translation vector on a sheet of paper. Patty paper geometry full book by michael serra dba playing. Written by michael serra, the best selling author of discovering geometry, patty paper geometry contains 12 chapters of guided and open investigations. Discovering geometry author michael serra brings discovery through paperfolding activities to the classroom with his exciting book patty paper geometry. For video demonstrations using patty paper or for home school use, see our discovering geometry video series. Then draw a line on the patty paper outside the figure and place a point on the line. Slide the bottom paper in the direction of the vector until the head of the top vector aligns with the tail of the bottom vector.
On a second sheet of patty paper, trace the polygon, the line of reflection and the point. Draw two intersecting lines on a piece of patty paper as shown above in figure 1. Gently pick up the corner of your patty paper to see where to draw the new image. Use patty paper geometry as a supplement to your geometry program or. Also draw a quadrilateral in the left section of the paper. An investigation set may take two to three days, and the exercise sets. Copying an angle in this investigation, you will copy this angle using a compass and straightedge. Patty paper constructions and rigid motions this lesson begins an exploration of rigid motions of planes and the symmetry of plane figures. Nov 08, 2015 with that patty paper exercise as preparation, we looked at a viral geometry problem from last week. Patty paper construction of a triangle translation. Saw this interesting recommendation from kate nowak on twitter last week. You can write on it, trace with it, and see creases when you fold it. Patty paper constructions, sketches, and other things only help you out so far. My students need 60 patty paper workbooks, sheets of patty paper to complete the exercises, and a teachers edition to help plan the activities.
Jan 30, 2012 patty paper construction of a triangle translation. Although i still use this investigative approach in teaching geometry, my favorite lesson involves using patty paper to teach the unit circle. Patty paper is a thin wax paper commonly used between uncooked. Patty paper geometry by michael serra, paperback barnes. Patty paper worksheet 1 welcome to geometric investigations with patty paper. Draw the shape on patty paper with pencil markings on both sides of the paper. Patty paper is great for your restaurant or bar, use it between moist meats such as burger, steak, cheese, cold cuts or cheese. Our teacher still has to go over most things with us. Place your pencil on origin, 0,0, the center of rotation, and rotate the figure the indicated direction and number of degrees. Points of concurrency using patty paper find the circumcenter. Join the vertices with segments drawn with a straight edge, which should result in a very accurate replication of the triangle.
Reflect the quadrilateral over line l 1 as shown in figure 2 above. Patty paper usually used to separate hamburger patties is the perfect paper for geometric investigations. Patty paper is perfect for geometric investigations. Reflections with patty paper showing how to use patty paper to demonstrate a reflection. Welcome to geometric investigations with patty paper. Fold your patty paper so that the two parts of line m lie exactly on top of each. Patty paper geometry now available at teachers pay teachers via pdf download. Construct reflections with patty paper creating reflections using the coordinate plane or patty paper this. Using a regular or colored pencil, draw over the parallelogram on the back of the paper. Put the patty paper on top of the original parallelogram. Nothing, but the translucent squares of paper used by restaurants to separate hamburger patties have a lot to do with it. Bestselling author michael serra brings discovery through paper folding activities to the classroom with his exciting book, patty paper geometry.
Place a sheet of patty paper on top of the diagram. Vce further mathematics 50 cent question leaves australian students confused. The book and some extra patty paper arrived today and it looks like it has some great activities. Contents uw faculty web server university of washington.
Perform translations, reflections and rotations using patty paper. Trace the polygon and line on a second sheet of patty paper. Construct a perpendicular bisector of a given line segment using patty paper step 1. Its a great way to explore geometry from a handson, tactile approach.
Read book geometry patty paper folding activities geometry patty paper folding activities altitudes in a triangle with patty paper patty paper folding geometry project. The second is a pdf copy of the triangles used in the do now. Patty paper hamburger patty paper webstaurantstore. Compare the original figure to the reflected figure, including coordinate pairs. Open investigations encourage students to explore their own methods of discovery, and guided investigations provide more direction to students. Investigating area by folding paper investigating area by. Patty paper geometry was designed as a resource to supplement high school geometry courses or as a text in pregeometry, prealgebra, and middle grades mathematics programs.
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