Thus far students have considered shapes independently, rather than in conjunction with other shapes. Topic B expands students’ thinking about shape by introducing the notion that simple shapes can be combined to compose larger shapes (K.G.6). This supports A Story of Units’ overarching theme, that smaller units can be used to make a larger unit. “These two triangles make a square! These two squares make a rectangle!” In Lesson 5, students use pattern blocks as templates to compose other shapes and pictures. For example, they make a rectangle from two squares and use a square and a triangle to make a pentagon or “house” shape. Lesson 6 has students explore how to decompose a flat shape into two or more flat shapes. For example, students find that a rectangle can be decomposed into two triangles, two squares, or even a square and two smaller rectangles. Students record their explorations by drawing the hidden shapes within a larger shape. The Problem Set extends puzzle work as students combine shapes to complete pattern block templates of increasing complexity (see Geometry progressions document, p. 7). This leads into Lesson 7 wherein students cut a square to form simple three-piece puzzles and intuitively use geometric motions such as flips, turns, and slides as they work to solve one another’s puzzles. Lesson 8 hosts the Math Olympics, a culminating task that celebrates student learning from the whole year. Students complete tasks related to measurement, operations, and geometry.
Kindergarten Mathematics Module 6, Topic B
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