How did you determine the amount of land each person will get? Is there another way that the land could have been divided? PRACTICE TASK: PICTURE PIE In this task, students will partition a circle into equal areas. They will then use these pieces to create pictures. STANDARDS FOR MATHEMATICAL CONTENT MCC3.G.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape. STANDARDS FOR MATHEMATICAL PRACTICES (SMP) 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 4. Model with mathematics. 5. Use appropriate strategically. 6. Attend to precision. 7. Look for and make use of structure. BACKGROUND KNOWLEDGE Students in 2nd grade will have started partitioning shapes (circles and rectangles) into equal areas of two, three, or four equal shares. In third grade, students will further develop this area by dividing shapes into halves, thirds, fourths, sixths and eighths. This activity gives students the opportunity to create pictures using fractional pieces of shapes. In Picture Pie, Ed Emberley shows how a circle, which is divided into different fractional pieces, can be used to make pictures and patterns of all kinds. In Picture Pie 2, Ed Emberley uses the included stencil to demonstrate how to draw a variety of things including pigs, wolves, clowns, bugs, and much more. You'll also find step-by-step instructions in both books. If these books are not available, you may use the shapes provided to create stencils, using file folders or stock paper, for students to trace around. You may shrink the pieces provided by using your copier machine to reduce each of the shapes if you wish to create smaller animals. Clipart of circles and fractional pieces are obtained from
How did you determine the amount of land each person will get? Is there another way that the land could have been divided? PRACTICE TASK: PICTURE PIE In this task, students will partition a circle into equal areas. They will then use these pieces to create pictures. STANDARDS FOR MATHEMATICAL CONTENT MCC3.G.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape. STANDARDS FOR MATHEMATICAL PRACTICES (SMP) 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 4. Model with mathematics. 5. Use appropriate strategically. 6. Attend to precision. 7. Look for and make use of structure. BACKGROUND KNOWLEDGE Students in 2nd grade will have started partitioning shapes (circles and rectangles) into equal areas of two, three, or four equal shares. In third grade, students will further develop this area by dividing shapes into halves, thirds, fourths, sixths and eighths. This activity gives students the opportunity to create pictures using fractional pieces of shapes. In Picture Pie, Ed Emberley shows how a circle, which is divided into different fractional pieces, can be used to make pictures and patterns of all kinds. In Picture Pie 2, Ed Emberley uses the included stencil to demonstrate how to draw a variety of things including pigs, wolves, clowns, bugs, and much more. You'll also find step-by-step instructions in both books. If these books are not available, you may use the shapes provided to create stencils, using file folders or stock paper, for students to trace around. You may shrink the pieces provided by using your copier machine to reduce each of the shapes if you wish to create smaller animals. Clipart of circles and fractional pieces are obtained from
CCGPS_Math_3_Unit4Framework.docx