Geometry

1st Grade Geometry Lesson

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

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

Process Strands AddressedCommunication 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 communicate

mathematical ideas; • use representations to model and interpret physical, social, and

mathematical phenomena.

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

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

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.

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

Symmetry

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

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

• 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.

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

Assessment

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