Perimeter and Area of Polygons

Learning Topics: 

Perimeter of polygons, length, width, base and height, Area of rectangles, parallelograms, triangles and trapezoids.

This page lists the Learning Objectives for all lessons in Unit 1.


Perimeter of Polygons

The student will be able to:

  • Define polygon, triangle, rectangle, square, equilateral triangle, regular polygon, regular pentagon, regular hexagon.
  • Describe the procedure for finding the perimeter of a polygon.
  • Recognize that perimeter is measured in linear units.
  • Restate the formula for the perimeter of a rectangle.
  • Compute the perimeter for various polygons and regular polygons.
  • Apply perimeter concepts and formulas to complete five interactive exercises.

Area of Rectangles

The student will be able to:

  • Define perimeter.
  • Recognize the difference between perimeter and area.
  • Explain the formula for finding the area of a square.
  • Compute the area of a square, given the length of one side.
  • Compute the length of a side, given the area of a square.
  • Explain the formula for finding the area of a rectangle.
  • Compute the area of a rectangle, given its dimensions.
  • Compute the missing dimension of a rectangle, given the area and the other dimension.
  • Recognize that area is measured in square units.
  • Apply formulas to complete five interactive exercises.

Area of Parallelograms

The student will be able to:

  • Define parallel, perpendicular, parallelogram.
  • Identify the base and height of a parallelogram from a diagram.
  • Indicate the length of the base and height from a diagram.
  • Recognize that the base and height of a parallelogram must be perpendicular.
  • Recognize that height is not a dimension of a parallelogram.
  • Explain the formula for finding the area of a parallelogram.
  • Compute the area of a parallelogram, given the length of its base and height.
  • Compute the height of a parallelogram, given the area and the length of its base.
  • Apply the formula and concepts to complete five interactive exercises.

Area of Triangles

The student will be able to:

  • Define acute, right and obtuse triangles.
  • Identify the base and height of a triangle from a diagram.
  • Indicate the length of the base and height from a diagram.
  • Recognize that a parallelogram can be bisected into two triangles of equal area.
  • Restate the formula for finding the area of a triangle.
  • Classify a triangle by its angles.
  • Compute the area of a triangle given the length of its base and height.
  • Compute the height of a triangle, given the area and the length of its base.
  • Apply the formula and concepts to complete five interactive exercises.

Area of Trapezoids

The student will be able to:

  • Define trapezoid.
  • Identify the bases and height of a trapezoid from a diagram.
  • Indicate the length of each base and the height from a diagram.
  • Restate the formula for finding the area of a trapezoid.
  • Compute the area of a trapezoid, given the length of its bases and height.
  • Compute the height of a trapezoid, given the area and the length of both bases.
  • Apply the formula and concepts to complete five interactive exercises.

Practice Exercises

The student will be able to:

  • Examine ten interactive exercises for all topics in this unit.
  • Determine which concepts and formulas are needed to complete each practice exercise.
  • Compute answers by applying appropriate concepts and formulas.
  • Self-assess knowledge and skills acquired from this unit.

Challenge Exercises

The student will be able to:

  • Evaluate ten interactive exercises with word problems for all topics in this unit.
  • Analyze each word problem to identify the given information.
  • Formulate a strategy for solving each problem.
  • Apply strategies to solve routine and non-routine problems.
  • Synthesize all information presented in this unit.
  • Connect perimeter and area of polygons to the real world.
  • Develop problem-solving skills.

Solutions

The student will be able to:

  • Examine the solution for each exercise presented in this unit.
  • Identify which solutions need to be reviewed.
  • Compare solutions to completed exercises.
  • Identify and evaluate incorrect answers.
  • Amend and label original answers.
  • Identify areas of strength and weakness.
  • Decide which concepts, formulas and procedures need to be reviewed from this unit.