Unit 5

Geometry

Math

Unit Length and Description:

4 weeks

This unit focuses on reasoning about shapes and their attributes.  Students will build and draw shapes that possess certain attributes. Students will engage in activities that compose and decompose plane and solid figures.  Students will recognize shapes from different perspectives and orientations.  Fractions, as equal shares, will be introduced in this unit.

Standards:

 CCSS for Mathematical Content CCSS# CCSS Text Geometry 1.G.1 Distinguish between defining attributes (e.g, triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes. 1.G.2 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Note: Students do not need to learn the formal names such as right rectangular prisms.) 1.G.3 Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.  Describe the whole as two of or four of the shares.  Understand for these examples that decomposing into more equal shares creates smaller shares. Standards for Mathematical Practice (MP) MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments and critique the reasoning of others. MP.4 Model with mathematics. MP.6 Attend to precision. MP.7 Look for and make use of structure. Standards:  Instructional Outcomes   1.G.1: Distinguish between defining attributes (e.g, triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes. I can identify attributes that make a shape. I can identify attributes that do not make the shape. I can classify shapes by their attributes. I can build shapes to show attributes. I can draw shapes to show attributes.   1.G.2:  Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Note: Students do not need to learn the formal names such as right rectangular prisms.) I can recognize that shapes can be composed and decomposed to make new shapes. I can describe attributes of original and composite shapes (combined shapes). I can determine how the original and created composite shapes (combined shapes) are alike and different. I can create composite shapes I can compose new shapes from a composite shape.   1.G.3: Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.  Describe the whole as two of or four of the shares.  Understand for these examples that decomposing into more equal shares creates smaller shares. I can identify when shares (parts) are equal. I can identify two and four equal shares (parts). I can describe equal shares (parts) using vocabulary; halves, fourths, and quarters, half of, fourth of, and quarter of. I can describe the whole as two of two or four of four equal shares (parts). I can justify why dividing (decomposing) a circle or rectangle into more equal shares (parts) creates smaller pieces.

Enduring Understandings:

·         I can identify two-dimensional and three-dimensional shapes based on defining attributes of the shape.

·         I can use two-dimensional and three-dimensional shapes to compose new shapes.

·         I can decompose two-dimensional and three-dimensional shapes to create new shapes.

Essential Questions:

·         How can I tell about shapes?

·         Where can shapes be found in my world?

·         How can I sort and tell about shapes?

·         How are shapes alike?  Different?

·         How can I use two-dimensional and three-dimensional shapes to compose new shapes?