MathRealm Intermediate Geometry

Grade Level 4 & Up

Develop an understanding of geometric figures and relationships. Use learning tools and lessons to identify, describe, classify, compare and work with geometric figures. Includes:

• Points, Lines & Angles
• Triangles
• Polygons
• Circles
• Plane Figure Properties
• Perimeter, Circumference and Area
• Solid Figure
  • Volume
  • Surface Area

The following table is an outline of the interactive multimedia assignments in our intermediate geometry programs -- Reporting and Web programs. The outline is organized by units. Each unit may also include a Pre- and Post-Test, depending on the program and has multiple assignments that include lessons, practice, learning tools and enrichment activities (Extras). Try an Activity: Each unit only has one sample assignment that is active – this is the assignment in red. Trial requirements.
Note: Trial Assignments are opened in a pop-up window. You need to be sure pop-up windows are enabled for www.mathrealm.com. Sometimes just holding down the 'Ctrl' key when clicking a link will work.

Points, Lines and Angles
	Cartesian Plane	Learn coordinate plane parts and points on plane. Interactively explore the coordinate plane names, move point in plane and see its coordinate change.
	Plot Points in Plane	Learn to plot a point on a coordinate plane. Step-by-step procedure for plotting point.
	Practice Point Plot	Practice plotting points in all quadrants. Drag a point to a position and enter in a points coordinate.
	Translate Point	Learn to translate a point on a coordinate plane. Step-by-step procedure for translating points.
	Practice Point Translation	In Quadrant 1, practice translating points. Drag a point to a position translated position and enter in a translated point coordinate.
	Line and line names.	Lesson on lines and their type and names. Lesson and questions on naming lines, rays, and line segments.
	Measure Line Segment (Ruler)	Use a ruler to measure line segment lengths.
	Learn about Angles	Learn about angles and their names. Learn about degrees, and how an angle is defined. Learn angle names such as right, acute, obtuse, supplementary and complementary.
	Measure Angles	Use protractor to measure angles. Practice measuring angles.
	Estimate Angles	Estimate angles between 0 and 180 degrees. Angle is measured after estimate to show how close a guess is.
	Angle Puzzles	Puzzles to find Complementary & Supplementary angles. Logic puzzle to find matching pairs.
	Basic Geometry Terms	Defines basic geometry terms. Defines point, line, line segment, ray, angle, plane, parallel lines, intersecting lines, perpendicular lines, skew lines.

Plane Figures
	Triangles	Lesson on triangles, triangle names, and triangle properties. Discusses naming of triangles and their relationship to the triangle's properties. Sum of angles equals 180 degrees is demonstrated interactively.
	Triangle Perimeter Puzzle	Move line segments to form five triangles.
	Polygons	Defines a polygon, regular polygons and the sum of their angles. Congruent polygons are defined. Relationships of quadrilaterals are explored.
	Perimeter	Lesson on perimeter.
	Square Perimeter Puzzle	Move line segments to form five squares.
	Plane Area	Builds the concept of area, and the difference from perimeter. Derives the area formulas for squares, rectangles, parallelograms and triangles. Examples of solving for more complex plane shapes.
	Right Triangle, Pythagorean	Lesson on right triangle, Pythagorean theorem and ratio of sides. Solving Pythagorean theorem problems with examples. Concept on the equality of the ratio of sides of a right triangle. Reference angle and right triangle side names.
	Introduction to pi.	Define and explain the meaning of pi. Uses animations to show where it comes from and why it is unit-less.
	Circle Terms	Interactively learn circle parts and terms. Defines radius, chord, diameter, and circumference.
	Circle Circumference	Lesson on the concept and calculation of circumference.
	Circle Area	Develops the formula for calculating the area of a circle. Uses animation to break the circle into wedges, which are arranged as a parallelogram. Derives area equals pi times radius squared from that.
	Area & Perimeter Puzzle	Area understanding & calculation matching puzzle. Perimeter and area relationship. Area calculations.
	GeoBoard	Draw line segments, angles, polygons and circles. Measure length, radius, angles and circumference. Flip figures horizontally and vertically.

Plane Figure Properties
	Similar Figures	Uses proportions to solve for scaled similar figures. Uses interactive example to demonstrate similar figures. Uses proportion equation to solve for similar figures, with examples.
	Logical Reasoning	Use interactive Venn diagrams to show and visualize relationships among a collection of objects. Sort polygons by characteristics. Lesson and practice.
	Venn Diagram Sorter	A tool to sort polygons. There are four Venn diagram options and about thirty polygons to choose from.
	Plane Figure Symmetry	Explore rotational (turn) and reflection (line) symmetry concepts. Lots of interaction and animations. A kaleidoscope drawing symmetry.
	What are Tessellations	Interactively explore what Tessellations are using animation and movable tiles. Learn the numbering system that describes tessellations.
	Tangram	Use spatial reasoning, rotation and reflection of polygons to make figures such as cats and birds.

Solid Figures
	Solid Figure Terms	Defines solid figure terms and geometric shapes. Defined are polyhedron, edge, vertex, prism, pyramid, cylinder, cone, sphere, surface area and volume.
	Solid Figures	Solid figure and geometric shapes. Explore polyhedrons, edge, vertex, prism, pyramid, cylinder, cone and sphere shapes.
	Surface Area	Demonstrates the concept of surface area. Derives the surface area formulas for cubes, prisms, cylinders, pyramids, cones, and spheres. Interactive explorations of cone and cylinder surface area.
	Volume	Demonstrates the concept of volume. Derives the volume formulas for cubes, prisms, cylinders, pyramids, cones, and spheres. Interactive explorations of cone and cylinder volume.