Math Online

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).

http://www.primaryresources.co.uk/online/longshape3d.html

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.

http://www.kidspsych.org/shapes.html

D

Identify the position of a whole number on the number line.

http://www.harcourtschool.com/activity/mmath/mmath_lion.html

 

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.

http://www.kizclub.com/Shape/square.html

I

Identify shapes that have line symmetry.

http://www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/4_Line_Symmetry/index.html

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).

http://teacher.scholastic.com/lessonrepro/lessonplans/profbooks/symmetry.htm

http://www.ngfl-

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.

http://www.adrianbruce.com/Symmetry/15.htm

http://www.uen.org/Lessonplan/preview.cgi?LPid=5756

http://solar.physics.montana.edu/astromath/draft/gliding_galaxy_finalversion.pdf

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.

http://www.terragon.com/tkobrien/algebra/topics/orderdpairs/op.html

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.

www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/4_Line_Symmetry/index.html

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.

www.funbrain.com/co/index.html

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.

www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/4_Line_Symmetry/index.html

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.

D

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).

www.mathsnet.net/geometry/solid/box/index.html      

www.mathsisfun.com/platonic_solids.html

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).

http://www.mathsnet.net/transform/index.html

http://www.mathsonline.co.uk/freesite_tour/games_room.html

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.

http://www.gamequarium.com/prealgebra.html

 

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.

http://www.quia.com/jg/65535.html

http://www.quia.com/jg/65535.html   

http://www.aplusmath.com/cgi-bin/games/geomatho

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