                  Lesson Plans, Interactive Activities, Worksheets, and Links for Grades K - 12 Geometry

Key:  I = Introduced, D = Developing, A = State Assessed, M = Mastered

First Grade
 D Recognize names, basic properties of, and similarities and differences between simple geometric figures (e.g., number of sides, corners). D Predict and describe the results of combining and taking apart two- and three-dimensional geometric figures. D Recognize and show terms of relative position and direction in a variety of situations (e.g., over, under, forward, backward, between, right, and left). I Create a figure made up of shapes from memory. D Identify the position of a whole number on the number line.

Second Grade
 D Identify, build, draw, and compare two- and three-dimensional geometric figures. D Describe characteristics and parts of two- and three-dimensional geometric figures. I Identify shapes that have line symmetry. D Investigate and predict the results of combining and taking apart two- and three-dimensional geometric figures. M Identify the position of a whole number on the number line. I Illustrate flips, slides, and turns using concrete objects and pictures.

Third Grade
 D Identify, build, draw, and compare two- and three-dimensional geometric figures (e.g. rectangle, square, triangle, circle, cube, cylinder, sphere, and cone). A Name two-dimensional geometric figures (e.g., rectangle, square, triangle, circle, cube, cylinder, sphere, and cone). A Name three-dimensional geometric figures (e.g., rectangle, square, triangle, circle, cube, cylinder, sphere, and cone). A Recognize geometric figures that are the same size and shape. A Identify the line of symmetry in a two-dimensional design or shape. D Draw lines of symmetry in two-dimensional designs and shape. I Identify and draw horizontal and vertical lines. I Identify and draw diagonals of polygons. D Identify the position of 1/2, 1/3, or 1/4 on the number line. I Identify a location on a grid using whole number coordinates. A Use appropriate mathematical language to find a point on a grid using whole number coordinates. D Predict and identify the results of sliding, flipping, or turning two-dimensional shapes. A Identify the result of a transformation that has been applied to a simple two-dimensional geometric shape (i.e., flips or slides).

Fourth Grade
 D Identify, compare, and analyze attributes of two- and three-dimensional shapes. A Identify two- or three-dimensional shapes given defining attributes. D Develop and use mathematical language to describe characteristics and properties of geometric figures. D Identify and draw points, lines, line segments, rays, and angles. A Identify points, lines, and rays. I Describe the relationships between lines and the characteristics of angles (e.g., parallel, perpendicular, intersecting, right, acute, and obtuse). D Compare properties of two- and three-dimensional geometric figures. D Investigate and describe the results of subdividing and combining two-dimensional geometric figures. A Recognize congruent geometric figures. D Identify and draw lines of symmetry for two-dimensional geometric figures. A Identify lines of symmetry for two-dimensional geometric figures. A Locate and specify points in Quadrant 1 of a coordinate system. D Identify, predict, and describe the results of transformations of two-dimensional geometric figures (i.e., slides, flips, and turns). A Identify the result of a transformation (flip or slide) that has been applied to a simple two-dimensional geometric shape. I Describe a motion that will show that two shapes are congruent. D Construct and draw two- and three-dimensional geometric figures. D Create and describe mental images of objects, patterns, and paths. I Use geometric models to solve real-world problems.

Fifth Grade

D

Identify, compare, and analyze attributes of two- and three-dimensional figures.

A

Identify lines of symmetry in two-dimensional geometric figures.

A

Identify two- or three- dimensional shapes given defining attributes.

D

Use the attributes of geometric figures to develop definitions of the figures.

A

Identify lines, line segments, rays, and angles.

D

Identify and draw points, lines, line segments, rays, and angles.

D

Draw circles and label diameter, circumference, radius, and center.

A

Classify geometric figures using properties.

D

Investigate and describe the results of subdividing and combining geometric figures.

D

Recognize, name, compare, and contrast congruent and symmetrical geometric figures.

D

Describe the relationships between lines and the characteristics of angles (e.g., parallel, perpendicular, intersecting, right, acute, obtuse, and straight).

I

Make and test hypothesis about geometric properties.

I

Explore similarity and how the sides and angles of similar triangles are related.

D

Describe location and movement using appropriate mathematical language.

A

Locate and specify a point in Quadrant I of a coordinate system.

D

Identify, predict, and describe the results of transformations of two-dimensional figures (i.e., slides, flips, and turns).

A

Use spatial reasoning to predict the result of sliding, flipping, or turning a two-dimensional shape.

I

Describe and identify line and rotational symmetry in two-dimensional figures.

D

Describe a motion or a series of motions that will show that two shapes are congruent.

D

Construct and draw two- and three-dimensional geometric figures.

D

Create and describe mental images of objects, patterns, and paths.

### Recognize and build a 3-dimensional object from a 2-dimensional representation (net) of that object (e.g., cube, rectangular prism, pyramid, cone, or cylinder).

A

Use spatial reasoning to identify the three-dimensional figure created from a two-dimensional representation (net) of that figure (i.e., cube, rectangular prism, pyramid, cone, or cylinder).

I

Use visualization and spatial reasoning (e.g., geometric models) to solve problems.

Seventh Grade
 A Determine congruence of line segments, angles, and polygons. A Classify triangles by angle, size, and length of sides. D Compare and classify triangles by angle, size, and length of sides. A Determine the measure of an angle of a triangle, given the measures of the other two angles. A Classify polygons by properties. D Compare and classify polygons by properties. D Use appropriate mathematical language to describe similarity and congruence. D Locate and specify points on the coordinate plane. A Use ordered pairs to describe given points in a coordinate system. D Relate symmetry and congruence to reflections (flips) about a line or to other transformations. A Identify the results of transformations of two-dimensional figures (i.e., turns/rotations, flips/reflections, slides/translations). M Use appropriate tools and methods to draw geometric objects with specified properties, (e.g., side lengths, and angle measure). M Identify and build a three-dimensional object from a two-dimensional representation (net) of that object and vice versa. A Apply spatial reasoning and visualization to solve real-world problems.

Eighth Grade
 D Describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties. A Classify types of two- and three-dimensional objects using their defining properties. A Identify relationships among the angles (i.e., complementary, supplementary, interior, exterior, vertical, and corresponding). D Understand relationships among the angles (e.g., complementary, supplementary, interior, exterior, vertical, and corresponding). A Solve problems using angle relationships (i.e., complementary, supplementary, interior, exterior, vertical, and corresponding). A Determine the measure of an angle of a triangle given the measures of the other two angles. A Apply relationships among the angles and side lengths of similar geometric figures. A Recognize similar geometric figures. D Determine congruence of line segments, angles, and polygons by direct comparison of given attributes. D Develop an understanding of the Pythagorean theorem and use it to solve real-world problems. D Graph points in the coordinate system. A Use ordered pairs to describe given points in a coordinate system. D Describe sizes, positions, and orientations of shapes under transformations (e.g., rotations, translations, reflections, and dilations). D Relate symmetry and congruence to reflections about a line. D Use appropriate tools and methods to draw geometric objects with specified properties, (e.g., side lengths, and angle measure). D Use two-dimensional representations of three-dimensional objects to visualize. A Apply spatial reasoning and visualization to solve real-world problems. A Apply geometric ideas and relationships in areas outside the mathematics classroom (i.e., art, science, and everyday life). Amie Lambert Jefferson County Schools