Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Measurement
Focus: Problem Solving with Area, Perimeter, Volume, and Surface Area


The student will
c)   solve practical problems involving area and perimeter; and
d)   describe and determine the volume and surface area of a rectangular prism. 
Essential Knowledge and Skills
  • Apply formulas to solve practical problems involving area and perimeter of triangles and rectangles.
  • Create and solve problems that involve finding the circumference and area of a circle when given the diameter or radius.
  • Solve problems that require finding the surface area of a rectangular prism, given a diagram of the prism with the necessary dimensions labeled.
  • Solve problems that require finding the volume of a rectangular prism given a diagram of the prism with the necessary dimensions labeled.
Essential Understandings
  • What is the difference between area and perimeter? Perimeter is the distance around the outside of a figure while area is the measure of the amount of space enclosed by the perimeter.
  • What is the relationship between area and surface area? Surface area is calculated for a three-dimensional figure. It is the sum of the areas of the two-dimensional surfaces that make up the three-dimensional figure.
Vertical Articulation
  1. SOL 4.7ab - a) estimate/measure length, describe result in metric/U.S. Cust units; b) ID equivmeasurements
    between units within the U.S. Cust system and between units within the metric system
  2. SOL 5.9 - identify/describe diameter/radius/chord/ circumference of circle
  3. SOL 8.11 - solve practical area/perimeter problems involving composite plane figures
Instructional Materials
  1. Enhanced Scope and Sequence Lesson: Out of the Box (PDF) - Applying formulas to measure attributes of shapes (Word)
  2. Notes: Perimeter, Circumference, and Area (flipchart) - 76 slides: notes, multiple choice, interactive practice
  3. Notes: Perimeter and Area (flipchart)
  4. Activity: Area and Perimeter Stations with QR codes (doc) - 4 stations practicing perimeter and area
  5. Activity: Tissue Box (doc) - activity to understand surface area and volume
  6. Stations: Area, Perimeter, and Circumference (doc) - 4 stations practicing perimeter, area and circumference
  7. VDOE Algebra Readiness Curriculum Companion: 3-D Geometry (pdf)
Real World Lessons
  1. Dan Meyer - Coke v Sprite - Which glass now contains more of its original soda?
Practice
  1. Worksheet: Area and Perimeter Review (doc) - 16 practice problems  including word problems
  2. Worksheet: Area and Perimeter Review #2 (doc) - 8 practice problems  including word problems
  3. Worksheet: Area and Perimeter Problem Solving (pdf) - 6 practice word problems
  4. Worksheet: Surface Area and Volume (doc) - 8 practice problems solving for both surface area and volume
  5. Worksheet:  Formula Practice (doc) - 12 multiple choice practice problems
SOL Mini Quiz
  1. SOL 6.10cd Mini Quiz: Perimeter, Surface Area, and Volume (pdf)
Skills
  1. Mathematics Assessment Project:
    • 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.
    • E01:Candle Box - Expert - In this task, you will design a hexagonal gift box made from card.
    • E08:Smoothie Box - Expert - In this task, you must figure out how to make a cardboard box just big enough for 12 bottles.
    • 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?
  2. Perimeter and Area (doc)
  3. Problem Solving: Bathroom Tiles (doc)
Videos
  1. Math Game Time: Surface Area of a Cube
  2. PH: Finding perimeter and area of a rectangle
  3. PH: Finding areas of triangles
Explore Learning
  1. Circle: Circumference and Area: Resize a circle and compare its radius, circumference, and area.
  2. Measuring Trees: Measure the height, diameter, and circumference of trees in a forest. Count growth rings to determine the age of each tree. Grow the trees for several years and investigate how growth is affected by precipitation.
  3. Fido's Flower Bed (Perimeter and Area): Construct models of gardens on a grid using squares of sod. Fence the gardens to find and compare perimeters. Work with pre-built gardens made of 36 squares each to compare perimeters of shapes with equal areas.
  4. Minimize Perimeter: Minimize the perimeter of a rectangle with a given area. Vary the perimeter, base, and height of the rectangle and examine changes to the graph of the area.
  5. Perimeter, Circumference, and Area - Activity B: Resize a rectangle, circle, or square and find its perimeter or circumference and area.
  6. Rectangle: Perimeter and Area: Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). NOTE: The title of this Gizmo was changed on 1/4/13. The title was formerly "Rectangles: Perimeter and Area."
  7. Balancing Blocks (Volume): This Gizmo provides you with two challenges. First, use blocks to build a figure with a given volume. Then, try to balance the blocks on a platform that sits on the tip of a cone. The dimensions of the platform can be adjusted, and blocks can be added or deleted by clicking on the model.
  8. Prisms and Cylinders - Activity A: Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder.
  9. Surface and Lateral Area of Prisms and Cylinders: Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
Websites
  1. Everything You Wanted To Know About Area And Volume
  2. Learner: Surface Area Interactives
  3. WisWeb applets: Building with Blocks - Choose the Building Freely option
  4. BrainGenie: Area of a Triangle
  5. BrainGenie: Area and Perimeter of a Square and Rectangle
  6. BrainGenie: Volume and Surface Area of Cubes and Cuboids
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Exploring 3-D Geometry - (SOL 6.10d) The lessons focus on the geometry and measurement of three-dimensional figures including surface area and volume of prisms, cylinders, cones and pyramids. Students will investigate and describe how changing the measure of one attribute affects the volume and surface area. (pdf)
Common Core Standards
4.MD.3
5.MD.5a
5.MD.5b
5.MD.5c
6.G.1
6.G.2
6.G.4
7.G.4
7.G.6