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## Big Idea 3

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**Describe and analyze properties of two-dimensional shapes.**Grade 3 Big Idea 3**Group Norms and Housekeeping**• Group Norms: • Participate • Ask questions • Work toward solutions • Limit side bars • Listen with an open mind • Logistics: • Rest Rooms • Phone Calls • Breaks • Lunch • Punctuality • Sharing**Let’s Warm-up!!**A Geome-tree What’s a polygon? What kind of a tree does a math teacher climb? A dead parrot Which triangles are the coldest? Ice-sosceles Where can you buy a ruler that is 3 feet long? A yard sale**MA.3.G.3.1:**Describe, analyze, compare, and classify two-dimensional shapes using sides and angles - including acute, obtuse, and right angles - and connect these ideas to the definition of shapes.**Content Limits:**• Items may assess the specific names of polygons with 3, 4, 5, 6, 8, or 10 sides and the following terms: regular and irregular polygons, lines and line segments (parallel and perpendicular), diagonals, and vertices (vertex). • Items may include regular and irregular polygons with 3, 4, 5, 6, 8, or 10 sides. • Polygons used in items may include types of triangles (right, equilateral, isosceles, and scalene), types of quadrilaterals (parallelogram, trapezoid, rectangle, rhombus, square, and/or kite), pentagons, hexagons, octagons, and decagons. • Types of angles will not be assessed in isolation at this benchmark. • Items will not include defining or identifying the following vocabulary terms: concave and convex. • Polygons may be classified by use of parallel or perpendicular sides as well as number of sides and/or types of angles. • Polygons used in items may be concave or convex.**MA.3.G.3.2:**Compose, decompose, and transform polygons to make other polygons, including concave and convex polygons with three, four, five, six, eight, or ten sides.**Remark/Examples:**Example: With pattern blocks, a trapezoid and a triangle can be combined to form a parallelogram or a large triangle. Also, the hexagon can be decomposed to form two trapezoids, and so forth. Example: One can cut a triangle off of a parallelogram so that, when translated and attached to the other side, the parallelogram becomes a rectangle.**Content Limits:**• Items may include concave or convex polygons with 3, 4, 5, 6, 8, or 10 sides. • Items may include the use of transformations to create new polygons, but the transformation (i.e., rotations, translations, reflections, dilations) will not be assessed. • Geometric terms will be used with common terminology set in parentheses, i.e., reflection (flip). • Items may use the following terms: overlapping, combine, and polygon. • Items will not assess the following vocabulary terms: concave, convex, compose, or decompose.**MA.3.G.3.3:**Build, draw, and analyze two-dimensional shapes from several orientations in order to examine and apply congruence and symmetry.**Content Limits:**• Items may include concave or convex polygons with 3, 4, 5, 6, 8, or 10 sides. • Items should use the correct geometric term with common terminology set in parentheses, i.e., reflection (flip). • Items may assess the following terms: symmetry, reflection, and/or congruent. • Transformations may be used in graphics; however, the transformations needed to compose or decompose polygons (rotations, translations, dilations) will not be assessed.**MA.3.G.3.1Describe, analyze, compare, and classify**2-dimensional shapes using sides and angles-including acute, obtuse, and right angles-and connect these ideas to the definition of shapes.**What is a polygon?**Not a polygon polygon polygon polygon Not a polygon Not a polygon Not a polygon polygon**Regular Polygons**A regular polygon is a polygon whose sides are all the same length, and whose angles are all the same.**Are these regular polygons? Why or why not?**A: No… These sides are all the different lengths, and the angles are all different.**Two Ways to Classify Triangles**• By Their Sides • By Their Angles**Acute???**Not Acute Triangles Acute Triangles Definition:**Isosceles???**Not Isosceles Triangles Isosceles Triangles Definition:**Scalene Triangles**• No sides are the same length**Isosceles Triangles**• At least two sides are the same length**Acute Triangles**• Acute triangles have three acute angles**Right Triangles**• Right triangles have one right angle What about the other two angles?**ObtuseTriangles**• Obtuse triangles have one obtuse angle What about the other two angles?**Let’s Play…..**NAME THAT TRIANGLE!!**NAME THAT TRIANGLE!!**Right Scalene Triangle Answer:**NAME THAT TRIANGLE!!**Obtuse Isosceles Triangle Answer:**NAME THAT TRIANGLE!!**Acute Scalene Triangle Answer:**Quadrilateral**Parallelogram Kite Rectangle Rhombus Square Trapezoid**What are all of the names for this polygon?**• Quadrilateral • Parallelogram • Rectangle Which name best describes the shape?**What are all of the names for this polygon?**• Quadrilateral • Parallelogram Which name best describes the shape?**What are all of the names for this polygon?**• Quadrilateral • Parallelogram • Rhombus Which name best describes the shape?**What are all of the names for this polygon?**• Quadrilateral • Trapezoid Which name best describes the shape?**What are all of the names for this polygon?**• Quadrilateral • Parallelogram • Square • Rhombus • Rectangle Which name best describes the shape?**Let’s Go Fly a Kite!!**Kite Not a Kite Is this a kite? Is this a kite? YES! NO!**Grab and Go Activity 9.7**Dot Paper**MA.3.G.3.2Compose, decompose, and transform polygons to make**other polygons, including concave and convex polygons with three, four, five, six, eight, or ten sides.**Concave or Convex?**Concave Convex Concave Convex**MA.3.G.3.3Build, draw, and analyze 2-Dimensional shapes from**several orientations in order to examine and apply congruence and symmetry.**Grab and Go Activity 10.9**Dot Paper**Ticket Out 3 – 2 - 1**• Fold your paper into three columns • Write: • 3 things you learned from this workshop • 2 things you will use in your classroom • 1 way the workshop can be improved