# GEOMETRY GO BACK TO ACTIVITY SLIDE GO TO TEACHER INFORMATION SLIDE

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GEOMETRY GO BACK TO ACTIVITY SLIDE GO TO TEACHER INFORMATION SLIDE To move from one activity to the next, just click on the slide! OR CLICK ON A BUTTON TO TAKE YOU DIRECTLY TO AN ACTIVITY. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

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

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.

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 other Blindfolded 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.

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?

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.

There are 5 slides in this activity!
GEOMETRY 4 Solid 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!

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. Cube Triangular Prism Square-based Pyramid Triangular - based Pyramid

GEOMETRY 4 Cube Triangular Prism Square-Based Pyramid Triangular-
Solid Figures Continued: Cube Triangular Prism Square-Based Pyramid Triangular- based Pyramid

GEOMETRY 4 Cube Triangular Prism Square-Based Pyramid Triangular-
Solid Figures Continued: Cube Triangular Prism Square-Based Pyramid Triangular- based Pyramid

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.

Can you name these shapes?
GEOMETRY 5 Can you name these shapes?

GEOMETRY 5 Now fill out the following chart square rectangle circle
triangle rhombus trapezoid hexagon parallelogram Now fill out the following chart

GEOMETRY 6 SQUARE CIRCLE Rectangle Triangle Hexagon Trapezoid Rhombus
GEOMETRIC FIGURES Name of Figure Number of Sides Number of Angles Will it tessellate? SQUARE CIRCLE Rectangle Triangle Hexagon Trapezoid Rhombus Parallelogram

GEOMETRY 6 SQUARE 4 4 YES CIRCLE NONE none no Rectangle 4 4 yes
GEOMETRIC FIGURES Name of Figure Number of Sides Number of Angles Will it tessellate? SQUARE YES CIRCLE NONE none no Rectangle yes Triangle yes Hexagon yes Trapezoid yes Rhombus yes Parallelogram yes

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.

GEOMETRY 8 Tell 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. B Now make a large Venn Diagram in your journal showing the data. A B

TANGRAM GEOMETRY 1 If 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.

TANGRAM GEOMETRY 2 TANGRAM PROPERTIES Sort 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.

TANGRAM GEOMETRY 2 TANGRAM PROPERTIES Remove 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.

TANGRAM GEOMETRY 2 Tangram Properties Small Triangle s Large Triangles
Medium Triangle Square Parallelogram

TANGRAM GEOMETRY 3 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? What part of the the whole tangram square is one of the large triangles?

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

TANGRAM GEOMETRY 4 ARE YOU READY FOR A REAL CHALLENGE?
IF YOU’RE BRAVE, CLICK AND PROCEED INTO THE LAND OF THE DIFFICULT!

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?

Positive & Negative Space
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. 1/ / / /8 5/8

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

GEOMETRY CONSTELLATIONS 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?

GEOMETRY CONSTELLATIONS 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? 8 8 4

GEOMETRY PROBLEM SOLVING
If you fold from point “a” to point “b,” what will the paper look like? a a b b c d

GEOMETRY PROBLEM SOLVING
If you fold from point “a” to point “b,” what will the paper look like? a a b b c d

GEOMETRY PROBLEM SOLVING
If you fold from point “a” to point “b,” what will the paper look like? a a b b c d

GEOMETRY PROBLEM SOLVING
If you fold from point “a” to point “b,” what will the paper look like? a a b b c d

GEOMETRY DRAW A RECTANGLE WITH A PERIMETER OF 24 INCHES. Label the sides and prove your answer.

GEOMETRY DRAW A RECTANGLE WITH A PERIMETER OF 24 INCHES. Label the sides and prove your answer. 8 Example: 4 4 =24 8

GEOMETRY IF 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.

GEOMETRY IF 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. YES NO YES YES YES

GEOMETRY CIRCLE ONE OF THE FOUR SHAPES THAT MATCHES THE SHAPE IN THE BOX. REMEMBER: THE SHAPE MAY BE INVERTED, ROTATED OR FLIPPED.

GEOMETRY CIRCLE ONE OF THE FOUR SHAPES THAT MATCHES THE SHAPE IN THE BOX. REMEMBER: THE SHAPE MAY BE INVERTED, ROTATED OR FLIPPED. RIGHT ANGLE SIMILAR CONGRUENT

Which are examples of parallel lines?

1 3 Describe in your journal why numbers 1 and 3 are examples of parallel lines.

GEOMETRY THAT’S ALL FOLKS! HOPE YOU ENJOYED OUR ACTIVITIES.
DON’T BE SQUARE, TRI SOME MORE!

Online Math TEACHERS We 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

GEOMETRY Teachers: 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.

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