Topic+Fifteen

= 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...__ __[|Sorting Shapes]__ || __Other Evidence:__ || 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. ||
 * 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:__
 * ~ = Learning Plan = ||
 * __Learning Activities:__
 * __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]__ ||