How many triangles can you construct?
http://illuminations.nctm.org/LessonDetail.aspx?ID=L236
A lesson plan for grades 4–6 Mathematics
Students identify patterns in a geometrical figure (based on triangles) and build a foundation for the understanding of fractals. Illuminations provides activity sheets and detailed instructions for completing the lesson.
Students will:
- Identify patterns in a geometrical figure.
- Build a foundation for the understanding of fractals.
- Make hypothesis and then develop experiments to test them.
NCTM Standards and Expectations:
- Investigate, describe, and reason about the results of subdividing, combining, and transforming shapes.
- Make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions.
- Build and draw geometric objects.
North Carolina Curriculum Alignment
Mathematics (2004)
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 3.01: Identify, define, describe, and accurately represent triangles, quadrilaterals, and other polygons.
- 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.
Grade 6
- Goal 3: Geometry -The learner will understand and use properties and relationships of geometric figures in the coordinate plane.
- Objective 3.01: Identify and describe the intersection of figures in a plane.
- Objective 3.03: Transform figures in the coordinate plane and describe the transformation.
