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