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Mathematics Photo Essay

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  1. 1. Geometry of Miami University
  2. 2. <ul><li>Dear Students, </li></ul><ul><li>You have been learning about geometry in math class! In geometry, you learn about shapes, lines, curves, 3-D and 2-D objects and much more! This photo essay is going to give you practice with geometry. Each page has a picture and each picture has three questions that go with it. You will read each question and use the picture to answer the questions. </li></ul><ul><li>The pictures were taken at Miami University in Ohio and it is where I went to college! This book is divided into three grades: first, second and third. Please make sure you are answering the questions found with the grade you are in. </li></ul><ul><li>I hope that you enjoy this book! Remember to have fun with it because math should be fun! </li></ul><ul><li>Your Teacher, </li></ul><ul><li>Miss Collins </li></ul>
  3. 3. Directions <ul><li>Press the space bar (the biggest button on your keyboard) until you get to your grade </li></ul><ul><li>You will answer three questions about five different pictures </li></ul><ul><li>To change pictures, press the space bar </li></ul><ul><li>Write your answers to the questions in your math notebook </li></ul><ul><li>Remember to ask your teacher for help if you do not understand a question or need help with a word </li></ul><ul><li>Turn in your notebook to the teacher when you are done </li></ul>
  4. 4. First Grade
  5. 5. <ul><li>This metal gate makes a shape that has been outlined for you in yellow. Name the shape </li></ul><ul><li>How many sides does this shape have? How many corners does it have? </li></ul><ul><li>Look around your classroom and try and find another one of these shapes. How is the shape you found the same and how is it different to the one in this picture? </li></ul>
  6. 6. <ul><li>What 3-D object is this? </li></ul><ul><li>How many “faces” does this object have? What shape are the “faces?” </li></ul><ul><li>If you looked at this object from the other side, would it have the same number of faces? </li></ul>
  7. 7. <ul><li>Look at the bike circled in yellow. Is it near or far from the bike circled in blue? </li></ul><ul><li>The bikes in this picture are made of different shapes. What are some of those shapes? Where else have you seen those shapes? </li></ul><ul><li>How would you find out how far away one bike is from another? </li></ul>
  8. 8. <ul><li>This picture has lots of different shapes in it. Draw as many different shapes as you can and write down the name of the shapes </li></ul><ul><li>What do you notice is the same about the shapes you drew? Different? </li></ul><ul><li>On note cards, redraw all the shapes you saw. Now do a picture sort with the pictures. This is an open sort so you get to pick the categories </li></ul>
  9. 9. <ul><li>The shape of a stop sign is called a octagon because it has 8 sides. How many corners does it have? </li></ul><ul><li>Draw this shape on a piece of paper. With scissors, cut the shape apart and form new shapes </li></ul><ul><li>Label your shapes. How do you know what shape you made? </li></ul>
  10. 10. Second Grade
  11. 11. <ul><li>Is this shape symmetrical? </li></ul><ul><li>How could you draw a line down the shape on this sign so it is NOT symmetrical? </li></ul><ul><li>Draw another shape that is symmetrical. Why is your shape symmetrical? </li></ul>
  12. 12. <ul><li>Are picture 1 and picture 2 congruent or similar? Hint: Click and drag picture 1 onto picture 2 </li></ul><ul><li>What does it mean if two shapes are congruent? What does it mean if two shapes are similar? </li></ul><ul><li>If you wrote that the two pictures were congruent, then in your notebook, draw two shapes that are similar. </li></ul><ul><ul><li>BUT </li></ul></ul><ul><ul><li>If you wrote that the two </li></ul></ul><ul><ul><li>pictures were similar, then in your </li></ul></ul><ul><ul><li>notebook, draw two shapes that </li></ul></ul><ul><ul><li>are congruent </li></ul></ul>Picture 1 Picture 2
  13. 13. <ul><li>What shape is this? </li></ul><ul><li>If you cut this sign in half from left to right, what new shapes will you make? </li></ul><ul><li>Is there another way to cut this shape to get the same shapes you got in question 2? Are there other shapes you can make? </li></ul>
  14. 14. <ul><li>What 3-D shape is this garbage can? </li></ul><ul><li>Can you think of other objects that are the same shape? </li></ul><ul><li>Why are the objects that shape? In other words, what makes them that shape? </li></ul>
  15. 15. <ul><li>This is a picture of “monkey brains,” and comes from a tree What 2-D shape does it look like </li></ul><ul><ul><li>Square </li></ul></ul><ul><ul><li>Circle </li></ul></ul><ul><ul><li>Triangle </li></ul></ul><ul><li>So, look at question 1 and how you answered. Based on your answer, what 3-D object do you think the “monkey brain” is? </li></ul><ul><li>If you cut the monkey brain in half, what shape do you think the “face” is? </li></ul>
  16. 16. Third Grade
  17. 17. <ul><li>Here’s a riddle: I am trying to find a blue building and I know that it’s map coordinate is C-2. What number is this building? </li></ul><ul><li>Pick a building on this map. In your math notebook, write down the building number and then write down the coordinates of your building </li></ul><ul><li>A map does not just show buildings. What other places could you find with this map? </li></ul>
  18. 18. <ul><li>Using a protractor, measure this angle and write down the answer in your notebook </li></ul><ul><li>What kind of angle is it? </li></ul><ul><ul><li>Right </li></ul></ul><ul><ul><li>Obtuse </li></ul></ul><ul><ul><li>Acute </li></ul></ul><ul><li>How do you know what kind of angle it is? </li></ul>
  19. 19. <ul><li>What 3-D object is this? </li></ul><ul><li>Describe this shape </li></ul><ul><li>With cubes, make a model of this trash can. </li></ul>
  20. 20. <ul><li>What does it mean if an object is symmetrical? </li></ul><ul><li>Is this doorway symmetrical? </li></ul><ul><li>If this doorway is symmetrical draw a picture of it and draw a line through the picture to show that it is symmetrical </li></ul>
  21. 21. <ul><li>The “Right Turn Only” sign is what kind of shape? </li></ul><ul><li>In your math notebook, write the following: </li></ul><ul><ul><li>The number and kind of angles </li></ul></ul><ul><ul><li>The number of sides </li></ul></ul><ul><ul><li>The number of vertices </li></ul></ul><ul><li>Look at what you wrote for question 2. Based on your answers, did you answer question 1 correctly? How do you know? </li></ul>
  22. 22. <ul><li>This assignment asks you questions about geometry that a student in your grade needs to know. </li></ul><ul><li>First graders , all your questions were about different shapes and what makes them that shape and about “near” and “far.” </li></ul><ul><li>Second graders , all your questions were about different shapes, how shapes are the same or different and about what makes a 2-D or 3-D object </li></ul><ul><li>Third graders , all your questions were about symmetry, shape properties such as angles and faces, and finding places on a map </li></ul><ul><li>Make sure you answered all the questions for your grade. Then turn in your math notebook to your teacher.  </li></ul><ul><li>Good job! </li></ul>Summary