The Developing Mathematical Thinking Institute DMTI is dedicated

The Developing Mathematical Thinking Institute (DMTI) is dedicated to enhancing students’ learning of mathematics by supporting educators in the implementation of research-based instructional strategies through high-quality professional development. For more information contact Dr. Brendefur at brendefur. dmti@gmail. com © DMTI (2015) | RESOURCE MATERIALS

PMA Parent – nd 2 SPATIAL REASONING © DMTI (2018) | RESOURCE MATERIALS | WWW. DMTINSTITUTE. COM 2

Spatial Reasoning When you hear spatial reasoning, what comes to mind? Why it matters: • Experiences examining and describing 2 and 3 dimensional shapes • High predictive value to success in math • Explore how to decompose and compose shapes • Maneuvering space • Directional words (right, left, forward, back) • Transformational words (slid, flipped, rotated) • Helps develop fluency and flexible thinking in other areas • Supports students’ ability in measurement • Builds concepts of proportional reasoning • Measuring space • How much space it takes to cover or fill an object • Decomposing and composing shapes © DMTI (2018) | RESOURCE MATERIALS | WWW. DMTINSTITUTE. COM 3

Spatial Reasoning: Rotation Pentominoes • Create your own set of pentominoes • Connect five squares with at least one side of a square matching a side of another square • There are 12 different shapes to build • These shapes can be drawn on graph paper • All 12 shapes can be arranged into a rectangle Extension: Is there more than one way to arrange the rectangle? © DMTI (2015) | RESOURCE MATERIALS

Spatial Reasoning: Rotation Pentominoes • Child can create different designs with the pentominoes • Try to draw the design created (plain or graph paper) • Create designs and trace around the outside border of the designs • These borders become activity cards for the pentominoes © DMTI (2015) | RESOURCE MATERIALS

Spatial Reasoning: Rotation Pentominoes © DMTI (2015) | RESOURCE MATERIALS

Spatial Reasoning: Rotation Pentominoes • Pentomino Activities Blokus Game • Printable Pentominoes © DMTI (2015) | RESOURCE MATERIALS