Unit 2 Topic 1: Composing and Decomposing 2D Shapes
Curriculum & Pacing Topic 1 Topic 2 Topic 3
inv1_u2.pdf 


1.1 What Shapes Do You See?
Students describe and find examples of familiar shapes. Make shape posters with the attributes to each shape to refer to throughout the unit. They fill in the outlines of PatternBlock FillIns with patternblock shapes, and record the number of each shape and the total number of blocks they used.
 Noticing shapes in the environment
 Describing, comparing, and naming 2D shapes
 Covering a region without gaps or overlaps using multiple shapes
1.2 Same Shape, Different Pieces
Students find different combinations of shapes to fill the same outlined shape. They create their own patternblock designs by using a set number of pattern blocks.
 Describing, comparing, and naming 2D shapes
 Decomposing shapes in different ways
 Counting a set of object
1.3 Quick Images with Shapes
In a version of Quick Images, students draw and describe shapes. Math Workshop continues to focus on composing and decomposing shapes in a variety of ways. The session ends with a discussion about counting pattern blocks.
 Developing visual images of and language for describing 2D shapes
 Decomposing shapes in different ways
 Finding the sum of multiple addends with small numbers
1.4 Ways to Make PatternBlock Shapes
Students find as many different ways as they can to compose the rhombus, the trapezoid, and the hexagon, using patternblock shapes. They discuss the largest and smallest number of blocks they can use to make the hexagon.
 Finding different combinations of shapes that fill the same area
 Decomposing shapes in different ways
 Examining how shapes can be combined to make other shapes
Shapes with Six Green Triangles
Lesson from Math By All Means: Geometry, Grades 12 by Chris Confer (Marilyn Burns)
Lesson from Math By All Means: Geometry, Grades 12 by Chris Confer (Marilyn Burns)
1.5 Three Ways to Fill an Outline
Students fill an outline with pattern blocks in three different ways, using their knowledge of how to compose and decompose patternblock shapes. They discuss how to fill the same outline with the smallest and largest number of blocks.
TECHNOLOGY:
Pattern Block App  Can be used on the iPad or Computer. Students can fill in an outline in this app or create their own outline for them to fill using different shapes or for a friend to fill in.
 Finding different combinations of shapes that fill the same area
 Decomposing shapes in different ways
 Altering designs to use more or fewer pieces to cover the same space
TECHNOLOGY:
Pattern Block App  Can be used on the iPad or Computer. Students can fill in an outline in this app or create their own outline for them to fill using different shapes or for a friend to fill in.
1.6 Filling with More and Fewer
Students continue to develop visual images and language for describing shapes as they do Quick Images with shapes and combination shapes. Students are introduced to a new software activity, Puzzles. During Math Workshop, students fill in outlines of shapes first with a few pattern blocks and then with many blocks. They also explore Geoboards.
Build for Less  more outlines for students to fill (Spanish)
 Developing visual images of and language for describing 2D shapes
 Altering designs to use more or fewer pieces to cover the same space
 Finding different combinations of shapes that fill the same area
Build for Less  more outlines for students to fill (Spanish)
1.7 Assessment: Many Ways to Fill a Hexagon
As an assessment, students find as many different ways as possible to fill in a hexagon shape. They discuss how to fill in a shape outline with the fewest shapes and the most shapes.
 Finding different combinations of shapes that fill the same area
 Decomposing shapes in different ways
 Examining how shapes can be combined to make other shapes