Paper quilts: Looking back and moving forward
http://illuminations.nctm.org/LessonDetail.aspx?ID=L314
A lesson plan for Grades 3–5 Mathematics
Students use mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and apply that knowledge to create a classroom display. Using designs created in a previous session, the class arranges geometric shapes to create a paper quilt.
Students will:
- Explore ways to color a square to show two and four equal parts.
- Create a four-patch quilt block using flips, slides and turns.
- Use geometric and fractional terms to describe their quilt square.
- Locate lines of symmetry.
NCTM Standards and Expectations covered in this lesson include:
- Identifying, comparing, and analyzing attributes of two- and three-dimensional shapes and developing vocabulary to describe the attributes.
- Describing location and movement using common language and geometric vocabulary.
- Identifying and describing line and rotational symmetry in two- and three-dimensional shapes and designs.
- Predicting and describing the results of sliding, flipping, and turning two-dimensional shapes.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 3
- Goal 3: Geometry - The learner will recognize and use basic geometric properties of two- and three-dimensional figures.
- Objective 3.01: Use appropriate vocabulary to compare, describe, and classify two- and three-dimensional figures.
Grade 4
- Goal 3: Geometry - The learner will recognize and use geometric properties and relationships.
- Objective 3.03: Identify, predict, and describe the results of transformations of plane figures.
- Reflections.
- Translations.
- Rotations.
- Objective 3.03: Identify, predict, and describe the results of transformations of plane figures.
Grade 5
- Goal 3: Geometry - The learner will understand and use properties and relationships of plane figures.
- Objective 3.03: Classify plane figures according to types of symmetry (line, rotational).
- Objective 3.04: Solve problems involving the properties of triangles, quadrilaterals, and other polygons.
- Sum of the measures of interior angles.
- Lengths of sides and diagonals.
- Parallelism and perpendicularity of sides and diagonals.



