In the fifth grade lessons, students are introduced to the coordinate plane, learn how to graph points in the first quadrant, and identify the coordinates of graphed points. They solve both real-world and mathematical problems by graphing points and interpreting the coordinates of points in context. They further refine their understanding of the relationships among the shape categories encountered throughout the K – 4 geometry lessons and create a complex classification of two-dimensional shapes using Venn diagrams.

- CCSS.MATH.CONTENT.5.G.A.1
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP6

- Graphing Kit (optional)

- CCSS.MATH.CONTENT.5.G.A.1
- CCSS.MATH.CONTENT.5.G.B.3
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP6

- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles
- Loaded Dice (optional)

- CCSS.MATH.CONTENT.5.G.A.2
- CCSS.MATH.CONTENT.5.OA.B.3
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP4

- Bowling (optional)
- Loaded Dice (optional)

- CCSS.MATH.CONTENT.5.G.B.3
- CCSS.MATH.CONTENT.5.G.B.4
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP7

- Basic Shapes: Circles
- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles
- Basic Shapes: Right Solids

- CCSS.MATH.CONTENT.5.G.B.3
- CCSS.MATH.CONTENT.5.G.B.4
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP6

- Angle Tester
- Basic Shapes: Triangles
- Composing Polygons (optional)
- Geometry Sticks: Customary (optional)
- Geometry Sticks: Metric (optional)

- CCSS.MATH.CONTENT.5.G.B.3
- CCSS.MATH.CONTENT.5.G.B.4
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP6

- Basic Shapes: Quadrilaterals

- CCSS.MATH.CONTENT.5.G.A.1
- CCSS.MATH.CONTENT.5.G.B.3
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP6

- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles
- Decomposing Shapes
- Tangram

- CCSS.MATH.CONTENT.5.G.A.1
- CCSS.MATH.CONTENT.5.G.B.3
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP6

- City Engineering

**References**

Clements, D. H. and Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. New York, New York: Routledge.

National Governors Association Center for Best Practices, Council of Chief State School Officers Title: Common Core State Standards (Mathematics) Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C. Copyright Date: 2010.