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About Connected Mathematics

There are many exciting connections between the Connected Mathematics curriculum and Art. While it may be difficult for Art teachers to work directly with the Mathematics teachers due to the quarterly cycle system, both of these subjects would benefit from activities that reinforce the topics covered.

Many of the units in the Connected Mathematics Program (CMP) require students to complete a Unit Project.

Sixth Grade Problems and Topics

Discover patterns and regularities in the relations among sides and angles of basic polygons and understand how patterns can be helpful in using polygonal shapes to create designs and structures. (6th Grade Shapes and Designs) By creating various designs using polygons, students become familiar with the mathematical properties of these shapes.

Tiling or tessellating a flat surface or plane. (6th Grade Shapes and Designs) Students work to discover which regular polygons can be used to tile a plane.

Decorative and structural applications using polygons. (6th Grade Shapes and Designs)

Properties of triangles. (6th Grade Shapes and Designs)

Side and angle relationships of parallelograms. (6th Grade Shapes and Designs)

Estimating angle sizes and measuring angles. (6th Grade Shapes and Designs)

Students study the shape of bee hives formed from tiled hexagons. (6th Grade Shapes and Designs) The presence of geometric designs found in nature is an intriguing subject.

Determine what regular polygons can be used to tile a surface. (6th Grade Shapes and Designs)

Find interesting use of geometric shapes in pictures of American state flags and flags of other countries (extension problem 1.9) (6th Grade Shapes and Designs) How do different cultures make use of geometric design?

Use of triangles in towers and bridges. What makes a triangle a stable shape? (6th Grade Shapes and Designs) There is a strong connection between geometry and architecture.

Transform rectangles into shapes with greater perimeter (6th Grade Covering and Surrounding) Students begin with a rectangle and cut a pattern out of one side. The portion removed is then taped to the opposite side creating a new shape with a different perimeter but the same area. These new shapes can be used to make tesselations.

Unit Project: Write a story, compose a poem, create a poster, or find some other way to highlight a special number. (6th Grade Prime Time) The artistic talents of many students are revealed as they create unit projects in the Connected Mathematics Program.

Unit Project: Students collect drawings, photos, and clippings that show examples of shapes being used in the world around them. The project can be a book, poster, story, report, mobile, movie, slide show etc. (6th Grade Shapes and Designs)

Unit Project: Draw a design for a park to be placed on a piece of donated land. The park needs to meet specific geometrical requirements. Along with the drawing students write a report and a letter explaining why this design should be chosen. (6th Grade Covering and Surrounding)

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