Presentation on theme: "GEOMETRY GO BACK TO ACTIVITY SLIDE GO TO TEACHER INFORMATION SLIDE"— Presentation transcript:
1 GEOMETRYGO BACK TO ACTIVITY SLIDEGO TO TEACHER INFORMATION SLIDETo move from one activity to the next, just click on the slide!OR CLICK ON A BUTTON TO TAKE YOU DIRECTLY TO AN ACTIVITY.1234567891011121314151617
2 TEACHERS,CLICK HERE &READ THIS FIRST!Begin: Write in your Math Journal, “What if there were no squares in the world? What things would have to change?” (Did you remember the square faces on three-dimensional shapes?)GEOMETRY 1
3 GEOMETRY 2 “The Quad Squad” Plane Figures:“The Quad Squad”There are 3 direction slides for this activity.Get into squads of four or five students each. Select one member to be the Safety Coordinator. Everyone else should be blindfolded.Each blindfolded member of the squad should grasp the rope with both hands. If there are only three blindfolded members, the Safety Coordinator should also grasp the rope. The Safety Coordinator should make sure all the members are spread out along the rope, but the actual distance between them does not matter.
4 GEOMETRY 2 The Quad Squad The safety coordinator (or teacher) calls out the name of a quadrilateral (parallelogram, square, rectangle, rhombus, or trapezoid). The squad attempts to manipulate the rope into the shape of that quadrilateral according to the following two rules:Only blindfolded members of the squad may speak to each otherBlindfolded members of the squad may move along the rope in any direction they wish. However, no one may remove the blindfold member, let go of the rope, or exchange places along the rope.When all the blindfolded members of the squad agree that the quadrilateral has been made, they may remove the blindfolds.
5 GEOMETRY 2 The Quad Squad Discuss ways to improve the process next time. Choose a new safety coordinator and the repeat the activity with a different quadrilateral.Math Journal:Was your squad able to form the shape of each quadrilateral?What strategies did you find useful?Were there any that you started out using and then decided to reject?How did your squad arrive at a plan after the first try?
6 GEOMETRY 3 Plane Figures: “Constructing Polygons” Make shapes on your geoboard (if available). If you do not have geoboards, draw on geoboard paper.Make a shape that has:4 sides and 4 right angles; 3 sides and 1 right angle;4 unequal sides and no right angles; Six right angles;Two pair of parallel sides and no right angles; Three sides all equal in length;6 sides, all equal in length and 3 pair of parallel lines; 3 sides and no sides are equal in length;5 sides and one right angle.
7 There are 5 slides in this activity! GEOMETRY 4Solid Figures:Purpose: Explore the properties of particular solids by investigating the faces, the edges and the corners of the solids.You Need: solids, such as cubes triangular, square, and rectangular prisms, and square-based, hexagonal-based, and triangular-based pyramids, as well as a collection of boxes you bring in from home.Activity: Take two solid figures, for example, a square prism and a triangular prism. In your Math Journal, answer these questions: “How are these two solids the same?” “How are these two solids different?”There are 5 slides in this activity!
8 GEOMETRY 4 Solid Figures Continued: Using the following chart, and a set of solids that includes a cube, a triangular prism, a rectangular prism, a square-based pyramid, a triangle-based pyramid, and a hexagonal prism, trace around all the faces of each solid. Then record the results on the chart. Mark each face with chalk or tape as you trace it.CubeTriangular PrismSquare-based PyramidTriangular - based Pyramid
11 GEOMETRY 4 Solid Figures Continued: Now Let’s Play a Game! Cut the names of the solids off the chart and save them. Then cut horizontal strips of the face tracing. You now have all you need for a matching game! Trade with each other and solve the game by matching the correct faces to the correct name.
12 Can you name these shapes? GEOMETRY 5Can you name these shapes?
13 GEOMETRY 5 Now fill out the following chart square rectangle circle trianglerhombustrapezoidhexagonparallelogramNow fill out the following chart
14 GEOMETRY 6 SQUARE CIRCLE Rectangle Triangle Hexagon Trapezoid Rhombus GEOMETRIC FIGURESName of Figure Number of Sides Number of Angles Will it tessellate?SQUARECIRCLERectangleTriangleHexagonTrapezoidRhombusParallelogram
15 GEOMETRY 6 SQUARE 4 4 YES CIRCLE NONE none no Rectangle 4 4 yes GEOMETRIC FIGURESName of Figure Number of Sides Number of Angles Will it tessellate?SQUARE YESCIRCLE NONE none noRectangle yesTriangle yesHexagon yesTrapezoid yesRhombus yesParallelogram yes
16 GEOMETRY 7 CAN YOU GUESS MY SHAPE? Choose your favorite 3-D shape and write a detailed description in your Math Journal without using the name of the shape. Read your description to a friend and see if she can guess your shape.Choose your favorite 2-D shape and write directions for how to draw the shape, without using the name of the shape. Read your directions to a friend to see if he can draw your shape.
17 GEOMETRY 8Tell me how these two polygons are alike. Then tell me how they are different. Take your time and look carefully before writing them in your Math Journal.Fig. A Fig. BNow make a large Venn Diagram in your journal showing the data. A B
18 TANGRAM GEOMETRY 1If you do not have a tangram pattern, you may print this one out. reduce slide so that you can see top menu, and click the print button. This is slide #18. You must tell the printer to print only slide 18, or you’ll get all of geometry printed out.
19 TANGRAM GEOMETRY 2TANGRAM PROPERTIESSort a tangram set according to shape. Give the number of each type of piece on the chart that follows.Trace each different shape in your Math Journal on a chart like you see on the following slide.Put a set of seven tangram pieces into a bag.Using only your sense of touch, reach into the bag and try to select the tangram piece that matches the first shape you traced.
20 TANGRAM GEOMETRY 2TANGRAM PROPERTIESRemove the piece from the bag and compare its size and shape with your tracing.How did you do? Were you able to find the correct piece? If not,, return the piece you removed to the bag and try again.Continue in the same way until you have matched all of the shapes.Beneath each tracing, write the attributes of that shape that helped you pick it out from all the others in bag.
21 TANGRAM GEOMETRY 2 Tangram Properties Small Triangle s Large Triangles Medium TriangleSquareParallelogram
22 TANGRAM GEOMETRY 3Make a square using all seven tangram pieces. The tangram puzzle is made up of seven pieces. Does that mean the one piece is equal to 1/7 of the whole tangram square?What part of the the whole tangram square is one of the large triangles?
23 TANGRAM GEOMETRY 3 No way! 1/4 Make a square using all seven tangram pieces. The tangram puzzle is made up of seven pieces. Does that mean the one piece is equal to 1/7 of the whole tangram square?So what part of the whole tangram square is one of the large triangles?No way!All pieces are not equal in size!1/4
24 TANGRAM GEOMETRY 4 ARE YOU READY FOR A REAL CHALLENGE? IF YOU’RE BRAVE, CLICK AND PROCEED INTO THE LAND OF THE DIFFICULT!
25 TANGRAM GEOMETRY CHALLENGE Positive & Negative Space Use tangram pieces to recreate the positive space (white part) of each puzzle below.Write the fractional part the negative spaces (the shaded green part) represent in each puzzle.Predict what fraction of the whole puzzle the white parts represent. Write your predictions below the negative space fractions. The sum of each pair of fractions should equal 1. Why?
26 Positive & Negative Space TANGRAM GEOMETRY CHALLENGEPositive & Negative SpaceUse tangram pieces to recreate the positive space (white part) of each puzzle below.Write the fractional part the negative spaces (the shaded green part) represent in each puzzle.1/ / / /8 5/8
27 TANGRAM GEOMETRY CHALLENGE Positive & Negative Space Predict what fraction of the whole puzzle the white parts represent.The sum of each pair of fractions should equal 1. Why? Prove your predictions in two different ways. You might use pictures, models, paper and pencil, or other strategies.7/ / / / /8
28 GEOMETRYCONSTELLATIONS ARE CLUSTERS OF STARS. One of the most famous is the Big Dipper, pictured above.How many points does it have?How many line segments?How many right angles?
29 GEOMETRYCONSTELLATIONS ARE CLUSTERS OF STARS. One of the most famous is the Big Dipper, pictured above.How many points does it have?How many line segments?How many right angles?884
30 GEOMETRY PROBLEM SOLVING If you fold from point “a” to point “b,” what will the paper look like?aabbcd
31 GEOMETRY PROBLEM SOLVING If you fold from point “a” to point “b,” what will the paper look like?aabbcd
32 GEOMETRY PROBLEM SOLVING If you fold from point “a” to point “b,” what will the paper look like?aabbcd
33 GEOMETRY PROBLEM SOLVING If you fold from point “a” to point “b,” what will the paper look like?aabbcd
34 GEOMETRYDRAW A RECTANGLE WITH A PERIMETER OF 24 INCHES. Label the sides and prove your answer.
35 GEOMETRYDRAW A RECTANGLE WITH A PERIMETER OF 24 INCHES. Label the sides and prove your answer.8Example:44=248
36 GEOMETRYIF A SHAPE OR DESIGN CAN BE DIVIDED IN HALF EQUALLY SO THAT EACH SIDE HAS THE SAME SIZE AND SHAPE, IT IS SAID TO HAVE A LINE OF SYMMETRY.FIND AND DRAW A LINE OF SYMMETRY FOR EACH PATTERN SHOWN.CHECK TO SEE IF BOTH SIDES HAVE THE SAME SIZE AND SHAPE.
37 GEOMETRYIF A SHAPE OR DESIGN CAN BE DIVIDED IN HALF EQUALLY SO THAT EACH SIDE HAS THE SAME SIZE AND SHAPE, IT IS SAID TO HAVE A LINE OF SYMMETRY.FIND AND DRAW A LINE OF SYMMETRY FOR EACH PATTERN SHOWN.CHECK TO SEE IF BOTH SIDES HAVE THE SAME SIZE AND SHAPE.YESNOYESYESYES
38 GEOMETRYCIRCLE ONE OF THE FOUR SHAPES THAT MATCHES THE SHAPE IN THE BOX.REMEMBER:THE SHAPE MAY BE INVERTED, ROTATED OR FLIPPED.
39 GEOMETRYCIRCLE ONE OF THE FOUR SHAPES THAT MATCHES THE SHAPE IN THE BOX.REMEMBER:THE SHAPE MAY BE INVERTED, ROTATED OR FLIPPED.RIGHT ANGLESIMILARCONGRUENT
40 Which are examples of parallel lines? 12Which are examples of parallel lines?Record your answer in your journal.34
41 13Describe in your journal why numbers 1 and 3 are examples of parallel lines.
42 GEOMETRY THAT’S ALL FOLKS! HOPE YOU ENJOYED OUR ACTIVITIES. DON’T BE SQUARE, TRI SOME MORE!
43 Online MathTEACHERSWe have included buttons on this page that will get you to each section of skills. Just click on the button and it will take you directly to the first page of the section. The last page of each skill section will bring you back to this page. Just click on the little house button.PATTERNS GRAPHING GEOMETRY FRACTIONS measurement PROBLEM DECIMALS SOLVING
44 GEOMETRYTeachers:Using manipulative materials to develop geometric concepts and spatial sense remains important at fourth grade. Exploring materials in a number of different context helps children generalize the concepts taught. Evidence suggests that the development of geometric ideas progresses through a hierarchy of levels. Students first learn to recognize whole shapes and then to analyze the relevant properties of a shape.