With the end of a sharp pencil on point o, rotate the top sheet until the quadrilateral coincides with its final image. Join the vertices with segments drawn with a straight edge, which. B students will use coordinates to compute perimeters of polygons. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.
The main file is a smart notebook file to engage students using the patty paper constructions to discover properties about a perpendicular bisector. Maybe you tried waxed paper and found it hard to write on or used other paper that you couldnt see through. Patty paper geometry was designed as a resource to supplement high school. Also includes links to a few free pdf printables that work well in an algebra 2 class. 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. When ordering your copies of patty paper geometry, be sure to stock up on plenty of patty papers. A calculator, scrap paper, and patty paper may be used. Geometry for parents 81 outcomes identify shapes that have mirror symmetry and shapes that do not identify lines of mirror symmetry for squares, equilateral triangles, regular hexagons. Fold to reflect your figure across the line and trace the image. You may already use paper folding in your classroom. My students need 60 patty paper workbooks, sheets of patty paper to complete the exercises, and a teachers edition to help plan the activities. Patty paper geometry, 1994, 262 pages, michael serra. Jeanne glover 31714 geometry unit 8 trigonometric ratios and right triangles standards in this unit.
My students need patty paper to discover the relationships between angles, congruent objects, and transformations in geometry. Long beach unified school district 20172018 1 reposted 101117. Put the patty paper on top of the original parallelogram. Patty paper is a thin wax paper commonly used between uncooked hamburger patties. 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. Students will use a variety of tools compass and straightedge, patty paper to make constructions. 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. Written by the best selling author of discovering geometry, patty paper geometry contains 12 chapters of guided and open investigations. On a second sheet of patty paper, trace the polygon, the line of reflection and the point.
Open investigations encourage students to explore their own methods of discovery, and guided investigations provide more direction to students. Patty paper geometry as a supplement to your geometry program or even as a major course of study. Did you know that one of the ideal manipulatives for geometric investigations is patty paper. Discovering geometry author michael serra brings discovery through. Lets use patty paper to investigate the figure shown. Polygon angle formulas coordinate geometry formulas let x11, y and x22, y be two points in the plane. This is why, the pdf books that we presented always the books considering unbelievable reasons. They use drawings and measurements to make observations and form hypotheses, or conjectures. Place your pencil on origin, 0,0, the center of rotation, and rotate the figure the indicated direction and number of degrees. Browse patty paper resources on teachers pay teachers, a marketplace trusted by millions of teachers for original educational resources. Patty paper geometry paper patty geometry is a book by michael serra in which he explains how patty paper can be used to demonstrate many geometric concepts. Students are to communicate orally and in written format.
A need is evident to include other tools when constructing the student edition states multiple times to use tools but does not specify. Place a second piece of patty paper on top of the first so that the sides match. Use patty paper geometry as a supplement to your geometry program or even as a major course of study. It is semitransparent, holds a crease, and can be writen on with.
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. When looking for lowest deal you might just not buy patty paper box. Using a regular or colored pencil, draw over the parallelogram on the back of the paper. Unit 1 geometry basics geometry long beach unified. On your patty paper, draw a second reflection line intersecting the first so that the image is in an acute angle between the two intersecting reflection lines. Using patty paper geometry the students in my class were successful from the start. Calculators may be used in this unit, but students must know how to. In this program, students use toolsprotractors, rulers, compasses and straightedges, patty paper squares of tracing paper, and perhaps geometry softwareto learn the properties of shapes. However, one of my main goals as a teacher is to not only help. Slide the patty paper about 2 inches to the northeast i. Patty paper worksheet 1 welcome to geometric investigations with patty paper. The second is a pdf copy of the triangles used in the do now. Use patty paper to compare the sizes of the sides and angles in the.
Saw this interesting recommendation from kate nowak on twitter last week. Draw a triangle and a translation vector on a sheet of paper. Restaurantgrade hamburger patty paper pack by avant grub. Patty paper offers a vast array of waxed, coated and printed papers converted for a variety of uses including separating meat, poultry, cheese, bakery and deli foods. Students must show a onetoone correspondence between the original figures coordinates called the preimage or input values and the transformed figures coordinates called the.
Just a guess, here patty paper could be used as manipulatives in a classroom. Mathematicians zero the unit education paper training learning onderwijs. Patty paper geometry now available at teachers pay teachers via pdf download. When i ask most people the same question, they usually respond with a groan. What do parabolas, patty paper, and a satellite dish have in common. Furthermore, these workbooks help facilitate cooperative learning, which encourages them to participate as part of a team. Overview in the first session on geometry it is important that participants realize that geometry. Booklet composed of angle relationships and formulas. Patty paper usually used to separate hamburger patties is the perfect paper for geometric investigations. Manufactured in squares, you can write on the paper and see creases and traces when you fold them. Patty paper is great paper to investigate geometric properties.
I found one that seemed fairly easy to implement and gave it a shot with both. Basically, it provides handson activities so students can see what they are learning. Each box contains 1,000 sheets of heavyweight paper perfect for your inclass investigations. Discover their own geometry properties read, write, talk geometry daily have less anxiety and a whole lot more fun how to discover geometry use technology use patty paper repeated calculations paper cutting use geometry tools use physical objects.
Use graph paper, transparencies, tracing paper or dynamic geometry software to obtain images of a given figure under specified transformations. You can write on it, trace with it, and see creases when you fold it. Patty paper constructions and rigid motions this lesson begins an exploration of rigid motions of planes and the symmetry of plane figures. An introduction to transformations ready summary in this lesson, participants are introduced to the concept of transformations through two handson activities.
Gently pick up the corner of your patty paper to see where to draw the new image. So, you can gate geometry patty paper folding activities easily from some device to maximize the technology usage. Students must use patty paper, transparencies, or geometry software to demonstrate transformations in a plane. On one side of the diagonal, draw a quadrilateral not a square or rectangle and label it. Flip the second piece of patty paper over and place it under the first so that the lines and the point coincide. Properties of rotations common core state standard.
Investigating area by folding paper investigating area by. Place a sheet of patty paper on top of the diagram. Written by michael serra, the best selling author of discovering geometry, patty paper geometry contains 12 chapters of guided and open investigations. The geometry module is based on the van hiele model of geometric thought. Points of concurrency using patty paper find the circumcenter. Tracing paper patty paper instructional resourcestools. Provide students with a preimage and a final, transformed image, and ask them to describe the steps required to. They were using second sheets of patty papers to check congruence of segments, angles, and polygons. The book and some extra patty paper arrived today and it looks like it has some great activities. Then draw a line on the patty paper outside the figure and place a point on the line. They learn that a transformation is a mapping of the plane onto itself, and some. Stretch the compass so that the pencil is exactly on b. Buy a cheap copy of patty paper geometry book by michael serra.
Microwave and freezer safe for ground beef, turkey, bison and other burger patties. Rotating about a point not at the origin other thoughts. Students must show a onetoone correspondence between the original figures coordinates called the preimage or input values and the transformed figures coordinates called the image or output values. Patty paper can be used as a construction tool in geometry.
Not realistic if a teacher desires understanding from his or her students. The formulas below will be provided in the examination booklet. If tracing a triangle, put the patty paper over the triangle and mark each vertex with a small dot. Students will use tools such as ruler, patty paper, or.
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