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:

• Describe the characteristics of a given figure.
  Example: An obtuse angle is described as two rays that meet at a point called a vertex with an angle measure greater than 90 degrees.
• Draw a given figure correctly using a variety of tools.

Example: Use a ruler, paper, and pencil to draw two points and connect them to create a line segment.
• Identify the given figures in two-dimensional shapes.

Example: Given a rectangle ABCD, identify that angle ABC is a right angle and that lines AB and CD are parallel.

Students know:

• defining characteristics of geometric figures, such as points, lines, line segments, angles (right, acute, and obtuse), parallel lines, and perpendicular lines.

Students are able to:

• Draw points, lines, line segments, rays, angles (right, acute, obtuse).
• Draw parallel and perpendicular lines.
• Identify points, lines, line segments, rays, angles, parallel lines, and perpendicular lines in two-dimensional figures.

Students understand that:

• points, lines, line segments, angles (right, acute, and obtuse), parallel lines, and perpendicular lines are defining characteristics of two dimensional shapes.

Learning Objectives:
M.4.27.1: Define points, lines, line segments, rays, right angle, acute angle, obtuse angle, perpendicular lines, and parallel lines.
M.4.27.2: Define two-dimensional figure.
M.4.27.3: Recognize one-dimensional points, lines, and line segments.
M.4.27.4: Model shapes in the world by building shapes from components.

Students:

• Sort two-dimensional figures based on angle sizes or presence of parallel and/or perpendicular lines.

Example: Given a group of regular polygons, sort shapes into categories based on angle size as well as presence of parallel lines.
• Classify and name shapes using more than one characteristic.
• Identify a right triangle by labeling the right angle.

Students know:

• Two lines are parallel if they never intersect and are an equal distance apart.
• Two lines are perpendicular if they are at right angles to each other.
• A right triangle is a triangle that has one right angle.

Students are able to:

• Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines.
• Classify two-dimensional figures based on the presence or absence of angles of a specified size.
• Identify right triangles.

Students understand that:

• shapes are categorized based on attributes they possess in common such as angle size, side length, side relationships (parallel and perpendicular).

Learning Objectives:
M.4.28.1: Define right angle.
M.4.28.2: Recognize 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.4.28.3: Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
M.4.28.4: Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces.
M.4.28.5: Identify triangles.

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.