Topic Fifteen: Classifying Plane Figures

Desired Results

Transfer:

1. Makes sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Established Goals:
  • 5.G.3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
  • 5.G.4: Classify two-dimensional figures in a hierarchy based on properties.

Pre-Requisite Standards
  • 4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
  • 4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
  • 4.G.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

I Can Statements
  • I can classify shapes into categories.
  • I can classify shapes based on properties.
Big Ideas:
  • Geometric Figures: Two- and three-dimensional objects with or without curved surfaces can be described, classified, and analyzed by their attributes. An object's location in space can be described quantitatively.
  • Practices, Processes, and Proficiencies: Mathematics content and practices can be applied to problem solving.
Essential Questions:
  • How can angles be measured and classified?
  • How can polygons, triangles, and quadrilaterals be described, classified, and named?
Students will know...
  • Plane shapes have many properties that make them different from one another. Polygons can be described and classified by their sides and angles.
  • Classifying two-dimensional shapes into categorical based on their properties.
  • Commonalities in attributes or objects or situations can be found and used to make generalizations about relationships.

Vocabulary: polygon, regular polygon, triangle, quadrilateral, pentagon, hexagon, octagon, equilateral triangle, isosceles triangle, scalene triangle, right triangle, acute triangle, obtuse triangle, parallelogram, trapezoid, rectangle, rhombus, square, generalization
Students will be skilled at...
  • Identifying and classifying polygons.
  • Identifying and classifying triangles.
  • Identifying and classifying quadrilaterals.
  • Learning about the properties of special quadrilaterals.
  • Sorting a variety of quadrilaterals to develop the hierarchy or "family tree" for quadrilaterals.
  • Making and testing generalizations of patterns in different examples.

Assessment Evidence

Performance Assessment:
Sorting Shapes
Other Evidence:

Learning Plan

Learning Activities:
15-1: Plane shapes have many properties that make them different from one another. Polygons can be described and classified by their sides and angles.
15-2: Plane shapes have many properties that make them different from one another. Polygons can be described and classified by their sides and angles.
15-3: Plane shapes have many properties that make them different from one another. Polygons can be described and classified by their sides and angles.
15-4: Classifying two-dimensional shapes into categorical based on their properties.
15-5: Classifying two-dimensional shapes into categorical based on their properties.
15-6: Commonalities in attributes or objects or situations can be found and used to make generalizations about relationships.
Resources:

Problem of the Month:
Polly Gone
The Shape of Things
What's Your Angle

Centers:
Identifying Quadrilaterals
Quadrilateral Criteria
Constructing Quadrilaterals
Quadrilateral Tangram Challenge
Triangle Hierarchy Diagram
Triangle Hierarchy Diagram 2
Regular/Irregular Hierarchy Diagram
Quadrilateral Hierarchy Diagram