Geometry

1. Geometry 1st Grade Geometry Lesson

2. Content Strand Addressed Geometry Strand Students will: • use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes; • identify and justify geometric relationships, formally and informally

3. Geometry Content Strand 1st Grade • 1.G.1 Match shapes and parts of shapes to justify congruency • 1.G.2 Recognize, name, describe, create, sort, and compare two- dimensional and three-dimensional shapes • 1.G.3 Experiment with slides, flips, and turns of two-dimensional shapes Geometry • 1.G.4 Identify symmetry in two-dimensional shapes

4. Process Strands Addressed Communication Strand Students will: • communicate their mathematical thinking coherently and clearly to peers, teachers, and others • use the language of mathematics to express mathematical ideas precisely. Connections Strand Students will: • recognize and use connections among mathematical ideas; recognize and apply mathematics in contexts outside of mathematics. • Recognize and apply mathematics to objects, pictures, and symbols Representation Strand Students will: • create and use representations to organize, record, and communicatemathematical ideas; • use representations to model and interpret physical, social, and mathematical phenomena.

5. Vocabulary • Between • Next to, beside • Far from/near • Above/below • Right/left • Lines-horizontal; vertical perpendicular; parallel • Angle formed by two rays or two line segments with a common end point. • Plane –flat • Parallel lines - lines in the same plane that are always the same distance apart - that do not cross. • Similar – same shape – not necessarily the same size • Congruent – having exactly the same size and shape. • Dimensions the size and shape of an object. For example: length, width, height, etc. • 2 Dimensional – 2 planes • 3dimensional – 3 planes • Solid—three-dimensional; not flat • Face—flat surface of a three-dimensional figure

7. Objectives • Recognize and describe geometric shapes • Describe and compare attributes of two-dimensional shapes. • Identify, describe, and classify two-dimensional shapes and three dimensional forms

8. Geometry • Tell students they will be studying a certain kind of mathematics called geometry. Also tell them that they already know a lot about geometry and that they are going to learn the official mathematical terms for some of the things that they know.

9. Shapes • Triangle - A plane figure having three angles and three sides. http://demonstrations.wolfram.com/TypesOfAngles/ • Square - A plane figure having four equal sides and four right angles. • Rectangle- A four sided plane figure with four right angles. • Circle - a round figure bound by a single curved line where each point is equally distant from the center of the circle. http://demonstrations.wolfram.com/GeometricElementsOfACircle/ • Ellipse

10. Symmetry • similarity of form or arrangement on either side of a dividing line.

11. 3 Dimensional Shapes • Cube - a three-dimensional figure with six square faces.http://demonstrations.wolfram.com/NumberedCube/ • Sphere- a three-dimensional round body • tetrahedron- a three-dimensional object with faces in the shape of a triangle http://nlvm.usu.edu/en/nav/frames_asid_128_g_2_t_3.html?open=instructions&from=topic_t_3.html

12. A Face is a flat surface of a three-dimensional figure • Vertex In a three-dimensional object, the Vertex is the point where two edges intersect or meet. • Edges are where the faces in a three-dimensional figure meet.

13. 2 Dimensional and 3 dimensional FUN(Really an assessment) • file:///Users/alisonfricke/Downloads/castle_shapes/Introduction/StarterActivityPart2.htm • http://www.ngfl-cymru.org.uk/vtc/build_it/eng/Introduction/default.htm • http://www.ngfl-cymru.org.uk/vtc/castle_shapes/eng/Introduction/default.htm

14. Assessment • What shapes have no sides and no corners? • What shape has four sides ? • Name a shape with a square face.