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# K-2 Learning Trajectories for Mathematics

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## Amanda James

on 7 April 2011

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#### Transcript of K-2 Learning Trajectories for Mathematics

K-2 Learning Trajectories for Mathematics

Distinguish non-defining attributes- The students say characteristics that are not important to defining a triangle, for example size and color. (NGA Center & CCSSO, 2010)

Draw shapes to possess defining attributes- drawing the shape to show the characteristics that define the shape.(NGA Center & CCSSO, 2010) Read the Greedy Triangle (Burns, 1994) and discuss what they think a quadrilateral is. Focusing on rectangles and squares, have the students explore different sized squares and rectangles and ask them questions like “How are these shapes different?” and “Can you prove it?” After exploring these shapes have the students tell you what defines a square and a rectangle. Afterward they made their own quadrilateral book to put their definition in and draw shapes to go along with it. Compose 2 dimensional or 3 dimensional shapes to create a composite shape- putting together shapes that are either two-dimensional or three- dimensional to make a common shape like triangle, rectangle, and square. For example putting together two triangles would make a square. (NGA Center & CCSSO, 2010)

Compose new shapes from the composite-Using common shapes, such as triangles, squares, and rectangles, to make new shapes like diamonds or pentagon. (NGA Center & CCSSO, 2010) To assist in learning about 2D and 3D shapes, the students will make two snowmen (or something to go along with the theme of that week). One of these snowmen will be made out of paper. The second will be made out of Styrofoam balls and other objects. The students will then compare the two snowmen to notice the differences. The goal is to notice that the snowman made out of paper is flat and the one made out of Styrofoam has “depth”. (Indiana standards and resources) Partition circles into two equal shares- splitting a circle into two equal pieces(NGA Center & CCSSO, 2010)

Partition circles into four equal shares- splitting a circle into four equal pieces(NGA Center & CCSSO, 2010)

Describe shares using halves- describe that a rectangle or circle is divided into halves when it is split in half.(NGA Center & CCSSO, 2010)

Describe shares using fourths- describe that a rectangle or circle is divided into fourths when it is split into four equal pieces.(NGA Center & CCSSO, 2010)

Describe shares using quarters- Describe that a rectangle or circle is divided into quarters when it is split into four equal pieces(NGA Center & CCSSO, 2010)

Describe the whole as two of- describe the cookie, for example, as being two of the one half pieces put together to make one whole cookie.(NGA Center & CCSSO, 2010)