Course 3 Online!
Henrico County Public Schools, Virginia
8.11 - Composite Figures
Number and Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Focus: Problem Solving with 2- and 3-Dimensional Figures

The student will solve practical area and perimeter problems involving composite plane figures. 
Essential Knowledge and Skills 
  • Subdivide a figure into triangles, rectangles, squares, trapezoids and semicircles. Estimate the area of subdivisions and combine to determine the area of the composite figure.
  • Use the attributes of the subdivisions to determine the perimeter and circumference of a figure.
  • Apply perimeter, circumference and area formulas to solve practical problems.
Essential Understandings
  • How does knowing the areas of polygons assist in calculating the areas of composite figures? The area of a composite figure can be found by subdividing the figure into triangles, rectangles, squares, trapezoids and semi-circles, calculating their areas, and adding the areas together.
Vertical Articulation
  1. SOL 6.10abcd - a) define π; b) solve practical problems w/ circumference/area of circle; c) solve practical problems involving area and perimeter given radius/diameter; d) describe/determine volume/surface area of rect. prism
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Area and Perimeter (PDF) - Solving problems involving area and perimeter of composite figures (Word)
  2. Warm-Up: Area and Perimeter of Composite Figures (flipchart)
  3. Notes: Area and Perimeter of Composite Figures (flipchart)
Real World Lessons
  1. Dan Meyer: Coffee Traveler - What will the water level look like now?
  2. Dan Meyer: Bucky the Badger - How many push-ups did Bucky have to do?
  3. Dan Meyer: Ditch Diggers - Guess whether or not the two ditch diggers will meet.
  1. Worksheet: Perimeter and Area of Composite Figures Word Problems (doc) - 5 problems
  2. Worksheet: Perimeter and Area of Composite Figures Practice (pdf) - 8 problems
  3. Worksheet: Composite Figures Flower Garden Problems (doc) - 4 problems
  4. Worksheet:: Composite Figures Practice (doc) - 7 problems
  5. Quiz: Area and Perimeter of Composite Figures (doc)
  1. SOL 8.11 Mini-Quiz: Irregular Figures
  1. Mathematics Assessment Project:
    • A04:Circle Pattern - Apprentice - In this task, you will look at a pattern of black and white circles and describe, mathematically, what is happening to the areas of black and white as the pattern develops.
    • E01:Security Camera - Expert - A shop owner wants to prevent shoplifting. He decides to install a security camera on the ceiling of his shop. Your task is to decide on the best place to put the camera.
    • E03:Fruit Boxes - Expert - A grocer wants to sell boxes of fruit. What is the largest volume box he can make using a 36 inch square of card?
Explore Learning
  1. None
VDOE Interventions
Common Core Standards