Number and Number Sense, Computation and Estimation 

Measurement and Geometry 

Probability, Statistics, Patterns, Functions, and Algebra 

SOL Review Materials 




Geometry
Focus: Problem Solving with 2 and 3Dimensional 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 semicircles, calculating their areas, and adding the areas together.


Vertical Articulation 
 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 
 VDOE Enhanced Scope and Sequence Lesson: Area and Perimeter (PDF)  Solving problems involving area and perimeter of composite figures (Word)
 WarmUp: Area and Perimeter of Composite Figures (flipchart)
 Notes: Area and Perimeter of Composite Figures (flipchart)

Real World Lessons 
 Dan Meyer: Coffee Traveler  What will the water level look like now?
 Dan Meyer: Bucky the Badger  How many pushups did Bucky have to do?
 Dan Meyer: Ditch Diggers  Guess whether or not the two ditch diggers will meet.

Practice 
 Worksheet:
Perimeter and Area of Composite Figures
Word Problems (doc)  5 problems
 Worksheet: Perimeter and Area of Composite Figures Practice (pdf)  8 problems
 Worksheet: Composite Figures Flower Garden Problems (doc)  4 problems
 Worksheet:: Composite Figures Practice (doc)  7 problems
 Quiz: Area and Perimeter of Composite Figures (doc)

SelfAssessments 
 SOL 8.11 MiniQuiz: Irregular Figures

Skills 
 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?

Videos 

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Learning 
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VDOE Interventions 

Common Core
Standards 

