## Designing Spaces: Visualizing, Planning, and Building

Students use geometry to analyze buildings from around the world and design model houses. While doing this, they explore properties of shapes and ways to represent three-dimensional structures in two dimensions. Students focus primarily on properties of sides and angles of quadrilaterals, as well as getting a first introduction to area and perimeter. They then explore a collection of 3-D shapes including prisms and pyramids.

### NCTM Standard: Geometry

• Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
• Use visualization, spatial reasoning, and geometric modeling to solve problems

### NCTM Standard: Measurement

• Understand measurable attributes of objects and the units, systems, and processes of measurement
• Apply appropriate techniques, tools, and formulas to determine measurements

### Primary Mathematical Goals

• Make isometric and orthogonal drawings of three- dimensional shapes and structures
• Identify equal and parallel sides and equal and right angles
• Use geometric terminology to describe three-dimensional shapes
• Identify properties of shapes
• Use a protractor to measure angles
• Measure a perimeter and estimating the area of a shape