Course 1 Online!
Henrico County Public Schools, Virginia
Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL.
As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
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
a)   define π (pi) as the ratio of the circumference of a circle to its diameter;
b)   solve practical problems involving circumference and area of a circle, given the diameter or radius.  
Essential Knowledge and Skills
  • Derive an approximation for pi (3.14 or 22/7) by gathering data and comparing the circumference to the diameter of various circles, using concrete materials or computer models.
  • Find the circumference of a circle by substituting a value for the diameter or the radius into the formula C = pd or C = 2pr.
  • Find the area of a circle by using the formula A = π r^2.
Essential Understandings
  • What is the relationship between the circumference and diameter of a circle? The circumference of a circle is about 3 times the measure of the diameter.
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: Going the Distance (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: Circles (flipchart) - 14 slides: notes, videos, interactive website and multiple choice questions to understand area and circumference of circles
  4. Notes: Circles (ppt) - powerpoint version of the above flipchart
  5. Activity: Area and Circumference Match (pdf) - 14  questions matching the questions to the answers.
  6. Activity: Measuring Circles (pdf) - fill in chart to learn how to find pi by measuring different circles
  7. Activity: Origami - Finding the Circumference of a Circle (pdf) - fortune teller activity to practice solving circumference
  8. Activity: Finding the Circumference of a Circle Game (pdf) - board game to practice finding circumference of circles
  9. Activity: Bubble Mania (pdf) - students make bubbles and fill in a chart finding the circumference
  10. Activity: Pi and Area Investigations (pdf) - fill in chart to help with vocabulary of circles, investigation to find and understand circumference and area of circles
  11. Song: Circle Song (flv) - sound file
  12. VDOE Algebra Readiness Curriculum Companion: Exploring Circles (pdf)
Real World Lessons
  1. Dan Meyer - Penny Circle - How many pennies will the big circle will hold?
  2. Dan Meyer - Coin Carpet - If you were going to carpet the room with a single kind of coin, which would be the cheapest option?
  3. Dan Meyer - Brita - How many times would all the water bottles used in the US in a year wrap around the world?
  4. Mathalicious: Pizza Pi - Pizza Hut pizzas come in three sizes: large, medium and personal. Which size is the best deal, and is it ever a good idea to buy the personal? 
  5. Mathalicious: As The World Turns - How fast is the world spinning, and is it the same everywhere?
Practice
  1. Worksheet: Area and Circumference Review (doc) - 14 practice problems finding area and circumference
  2. Worksheet: Circle Patterns (doc) - measure 7 circles (not provided) to understand the relationship and patterns between circumference and diameter
SOL Mini Quiz
  1. SOL 6.10ab Mini Quiz: Circumference and Area (pdf)
Skills
  1. Mathematics Assessment Project: A13: Historic Bicycle - Apprentice - In this task, you will figure out some problems about a strange old bicycle.
Videos
  1. Math Rap - Don't Let Pi Make Ya Cry! (mp4)
  2. Math Playground: Circumference
  3. PH: Finding circumference
Explore Learning
Websites
  1. Sadlier: Circumference :
  2. Quia: Circumference and Area of a Circle
  3. Learn Alberta: Select Shape and Space - Circles
  4. BrainGenie: Area and Circumference of Circle
  5. Illuminations: Circle Tool
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Exploring Circles - (SOL 6.10ab) The lessons focus on exploring the relationships among the radius, diameter, center, circumference, chord, and area of a circle and on using formulas involving pi. (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