Content Standard(s):
Mathematics 21. Classify triangles according to side length (isosceles, equilateral, scalene) and angle measure (acute, obtuse, right, equiangular).
Unpacked Content
Evidence Of Student Attainment:
Students:
When given a variety of triangles,
Measure sides and angles to classify triangles based on side length and angle measure. Teacher Vocabulary:
Classify
Polygon
Side measure
Angle measure
Isosceles
Equilateral
Scalene
Acute
Obtuse
Right
Equiangular Knowledge:
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. Skills:
Students are able to:
Classify triangles according to side measures and angle measures. Understanding:
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. Diverse Learning Needs:
Essential Skills:
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.
Prior Knowledge Skills:
Recall the vocabulary of shapes (labels, sides, faces, vertices, etc.).
Recognize and draw shapes having specified attributes such as a given number of angles.
Build and draw shapes to possess defining attributes.
Sort shapes into categories.
Define side, angle, face, closed, and open.
Use vocabulary related to shape attributes. Trace shapes.
Sort triangles, quadrilaterals, pentagons, hexagons, and cubes.
Explore triangles, quadrilaterals, pentagons, hexagons, and cubes.
Alabama Alternate Achievement Standards
AAS Standard:
Mathematics 22. Classify quadrilaterals in a hierarchy based on properties.
Unpacked Content
Evidence Of Student Attainment:
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.
Teacher Vocabulary:
Quadrilateral
Hierarchy
Two-dimensional
Properties
Attributes
Polygon
Rectangle
Rhombus
Square
Trapezoid
Parallelogram Knowledge:
Students know:
properties or attributes of two-dimensional shapes. Skills:
Students are able to:
Classify quadrilaterals based on properties. Understanding:
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. Diverse Learning Needs:
Essential Skills:
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.
Prior Knowledge Skills:
Classify triangles according to side measures and angle measures.
Alabama Alternate Achievement Standards
AAS Standard:
Mathematics 23. Explain that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
Example: All rectangles have four right angles, and squares have four right angles, so squares are rectangles.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given a variety of two-dimensional figures,
Use attributes to classify a shape into categories and subcategories.
Use mathematical vocabulary to explain that attributes belonging to one category are also attributes of the subcategory. Teacher Vocabulary:
Attribute
Category
Subset
Subcategory
Two-dimensional
Figure
Quadrilateral
Right angle
Parallel
Perpendicular Knowledge:
Students know:
vocabulary associated with the properties of shapes. Skills:
Students are able to:
Explain the relationship between shapes in categories and subcategories. Understanding:
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. Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.5.23.1: Understand 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.5.23.2: Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
M.5.23.3: Recognize attributes of shapes.
M.5.23.4: Recall the vocabulary of shapes (labels, sides, faces, vertices, etc.).
M.5.23.5: Sort shapes into categories.
Prior Knowledge Skills:
Classify triangles according to side measures and angle measures.
Classify quadrilaterals based on properties.
Explain the relationship between shapes in categories and subcategories.
