OVERVIEW: Geometric Shapes are All Around Us: In Our Classroom In Our Community The Things We Eat Tessellations are All Around Us: In Nature In Our Classroom In Art Communication & Mathematics Hidden Positions Activity STEM Superstars Robotics Engineer Video Game Designer Veterinarian
In Our Classroom: Clocks and globes are all circles. Desktops, doors, and bulletin boards are all rectangles.
In Our Community: The American Flag, Texas Flag, and speed limit signs are all rectangles. The Yield sign is an equilateral triangle. The Stop sign is an octagon. The Railroad crossing sign is a circle with one line of symmetry.
The Things We Eat: A whole pizza is a circle, but one slice of pizza is a triangle. Skittles and oranges are spheres. An ice cream cone is a cone. A burrito is a cylinder.
Tessellations in Nature: A honeycomb is a repeated hexagon. A fence is a repeated diamond. A pineapple is a repeated pentagon.
Tessellations in Nature: Snake’s skin is a repeated hexagon. A turtle shell is a repeated pentagon. A spider web is a tessellation. A sunflower’s petals tessellate as well as the seeds in the center.
Classroom Tessellations: A soccer ball is a repeated hexagon. A checkerboard is a repeated square. A quilt can have different kinds of repeated patterns.
Tessellations in Art: A few examples of his work M.C. Escher was a famous Dutch artist who developed tessellations out of animals. These type of tessellations are now called “Escher Tessellations.”
“Hidden Positions”* A B C D E FThis activity helps to see the 1value of using a coordinategrid to specify location 2instead of pointing. 3 Each pair of students has 4 their own game board with a divider in the middle. 5 6* Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and middleschool mathematics: Teaching developmentally (7th ed.). Boston: Allyn & Bacon.
Player 1 places 4 different pattern blocks onto their game board. Player 1 gives Player 2 directions on where to place their pattern blocks.
Player 1:“Put your square atA 3.” Player 2:“Ok, I have put mysquare at A 3.What’s next?”
After Player 1 has given instructions for all 4 pattern blocks, the students remove the barrier and check to see if their blocks are in the same position. Next, they switch roles so Player 2 can give the directions to Player 1. For those students that need a challenge, they can try guessing where the other player’s shapes are. They can use counters to remember which spaces they have called. Whoever finds all of the other player’s shapes wins.
Do you like figuring out how things move? Do you like mathematics, science, and computers? Do you like taking things apart and putting them back together? If so, then youshould become a Robotics Engineer!
Robotic Engineers use mathematics to calculate the motor power or torque required for lifting an object. Variables include: amount of weight being lifted ratio of gears between the motor and lifting assembly length of a robotic arm (if used) speed at which the object needs to be lifted. These variables are also used to calculate the strength of the material used for the parts of the robot. Any extra weight added to the robot for strength decreases the amount of load the robot can lift. In many cases, extremely precise math is used to minimize the material used while maximizing the available lifting power.
Are you a great story teller? Do you like to draw? Do you like to write and talk about your ideas to others? Do you love video games? If so, then youshould become a Video Game Designer!
Video Game Designers use mathematics to code and script a video game. They use calculus to help determine how fast an element of the game will change over time. Increase the speed of the game. Each level increases in difficulty. More obstacles as levels increase. They use algebra to creating equations with variables. These variables, when inserted into an equation in a program, tell a game what to do next. They use geometry when creating objects. They must figure out how to combine shapes and angles to create realistic scenes and how to get objects to move realistically.
Do you love animals? Do you like biology and chemistry? Do you have pets and take good care of them?If so, then youshould becomea veterinarian!
Veterinarians are animal doctors and use mathematics everyday. They use mathematics to figure out dosages. Medication dosages are determined by an animals weight. Small animals get small dosages. Large animals get large dosages. They also use mathematics when they need to use conversions. They must be able to convert between measurements when necessary.
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