ALEX Classroom Resource

Students:

• Describe, analyze, and compare properties of two-dimensional shapes.
• Identify shapes that are and are not quadrilaterals by examining the properties of geometric shapes.
• Draw rhombuses, rectangles, and squares as examples of quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategories.
• Use geometric terms when describing quadrilaterals.
• Identify attributes that are needed to belong to the subcategories of rhombuses, rectangles, and squares, and recognize when a shape does not have those attributes.

Example: A quadrilateral with all four sides of different lengths will not be a rhombus, rectangle, or square.

Students know:

• that shapes in different categories may share attributes and that the shared attributes can define a larger category.

Students are able to:

• Identify two-dimensional shapes.
• Sort shapes according to number of sides.
• Sort quadrilaterals based on the presence or absence of square corners.
• Draw examples of squares, rectangles, and rhombuses.
• Draw quadrilaterals that are not rhombuses, rectangles, and squares.

Students understand that:

• Attributes of a shape help make decisions about how to categorize the shape.
• Certain attributes are needed to belong to the subcategories of rhombuses, rectangles, and squares.
• Sometimes a shape does not have the attributes needed to belong to the subcategories of rhombuses, rectangles, and squares.

Learning Objectives:
M.3.26.1: Recall the vocabulary of shapes (labels, sides, faces, vertices, etc.).
M.3.26.2: Recognize and draw shapes having specified attributes such as a given number of angles.
M.3.26.3: Build and draw shapes to possess defining attributes.
M.3.26.4: Sort shapes into categories.

Students:
When given a variety of triangles,

• Measure sides and angles to classify triangles based on side length and angle measure.

Students know:

• Measurable attributes of triangles include length of side and angle measures.
• Appropriate tools and units of measure for length of side and angle measures.

Students are able to:

• Classify triangles according to side measures and angle measures.

Students understand that:

• triangles can be described and classified by their properties of side length, angle size, or cross-classify to include both side length and angle size.

Learning Objectives:
M.5.21.1: Define isosceles, equilateral, scalene, right and equiangular triangles; obtuse, acute, and right angle; vertex/vertices.
M.5.21.2: Identify a right triangle.
M.5.21.3: Sort and categorize shapes.
M.5.21.4: Recognize and draw shapes having specified attributes.

Students:
When given variety of two-dimensional figures,

• Use attributes of shapes to explain their classification in as many categories and subcategories as possible.
• Distinguish properties that are more general from those that are more specific and make connections between and within categories of figures.

Example: A quadrilateral is a figure with a general property of 4-sides, while a parallelogram is a specific type of quadrilateral with two pairs of opposite sides which are both parallel and congruent. Based on this hierarchy, all parallelograms are quadrilaterals, but not all quadrilaterals are parallelograms.

Students know:

• properties or attributes of two-dimensional shapes.

Students are able to:

• Classify quadrilaterals based on properties.

Students understand that:

• Quadrilaterals can be identified by general properties to more specific properties.
• Properties belonging to a category of two-dimensional figures also belong to all subcategories of that category.

Learning Objectives:
M.5.22.1: Define vertex/vertices and angle.
M.5.22.2: Identify that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals).
M.5.22.3: Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces.
M.5.22.4: Identify triangles, quadrilaterals, pentagons, hexagons, heptagons, and octagons based on the number of sides, angles, and vertices.