Kindergarten - Common Core Fractions

1. Kindergarten - Common Core Fractions Brianne Ciarlo Karly Millar Haley Snyder Amanda Todd

2. Mathematics | Kindergarten In Kindergarten, instructional time should focus on two critical areas: (1) representing, relating, and operating on whole numbers, initially with sets of objects; (2) describing shapes and space. More learning time in Kindergarten should be devoted to number than to other topics. (2) Students describe their physical world using geometric ideas (e.g., shape, orientation, spatial relations) and vocabulary. They identify, name, and describe basic two-dimensional shapes, such as squares, triangles, circles, rectangles, and hexagons, presented in a variety of ways (e.g., with different sizes and orientations), as well as three-dimensional shapes such as cubes, cones, cylinders, and spheres. They use basic shapes and spatial reasoning to model objects in their environment and to construct more complex shapes.

3. Fractions and Proportional Thinking Geometry K.G - Analyze, compare, create, and compose shapes. K.G.6. Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”

4. Progression documents • Zimba Chart • Learning Trajectory from NC State University, College of Education, 29 May 2011

5. Zimba Chart

6. Learning Trajectory for Interpreting CCSS - M(from NC State University http://turnonccmath.net)

7. What does this look like in Kindergarten? • Children need to have fraction experiences that incorporate their senses: • experiment and make observations • learn at their own rate • allow them time to investigate a topic further • Students are working towardsbeing able to visualize fractions and understanding that fraction segments are equal parts of a larger object. • Fraction type toys • Teach fractions with cooking • Tell a story with fraction toys • http://www.kindergarten-lessons.com/Kindergarten_Lessons_News-newsletter21.html

8. Teaching Tools • Teaching Halves and Equivalency • Food Fractions • Using Graham Crackers, ask the students to decompose their 1 shape into 2 equal parts (1 rectangle = 2 squares). Discuss. Ask students to decompose their 2 squares into 4 equal parts (2 squares = 4 rectangles). Discuss. • Using cheese squares, ask the students to explore different ways of decomposing the larger shape into smaller equal parts (triangles, rectangles, etc). Challenge them to do it more than one way. Discuss.

9. Kindergarten Pre-Fraction Assessment Checklist o Student can identify and name two-dimensional shapes (rectangle, circle, triangle, square, rhombus, etc.). o Student can use two or more simple shapes to compose a larger two-dimensional shape (six triangles put together make a hexagon). o Student can decompose one large shape into smaller shapes. o Student can describe how he/she composed or decomposed the larger shape using smaller shapes.