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Grade 07 Mathematics - EC: M07.C-G.2.2.1

Grade 07 Mathematics - EC: M07.C-G.2.2.1

Continuum of Activities

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

  • Instructional activities designed to be integrated into planned lessons
  • Questions/activities that grow in complexity
  • Opportunities for differentiation for each student’s level of performance

Grade Levels

7th Grade

Course, Subject

Mathematics

Activities

  1. The circle on a soccer field has a diameter of 50 feet.  If you run around the circle how far will you run?  Round to the nearest foot.
  1. If a circle has a diameter of 15 inches, what is the area of the circle? Round to the nearest inch.
  1. Mary has a circular vegetable garden that has fence around it to keep the animals out.  The fencing measures 94.25 feet.  What is the area of the garden?  Show your work and round to the nearest tenth.
  1. An umbrella has a radius of feet when opened up.  If you use the umbrella at the beach, how much of the area under the umbrella will be shaded? Show your work and round to the nearest tenth.
  1. Find the area and circumference of the circle below. Show your work and round to the nearest tenth.

  1. If the radius of a circle is doubled, by what factor will the area increase?  Explain your answer.
  1. A circle has a circumference of 31.42 cm.  What is the ratio of the circumference of the circle to the area of the circle?  Write the ratio and show your work.

Answer Key/Rubric

  1. C = 157 feet
  1. A = 74 inches2, rounded to the nearest inch
  1. Area = 706.5 ft2.   Student work might include but is not limited to
  • First step is to find the value of the radius given the circumference.
  • C = 2∏r
  • 94.25 = 2 x 3.14 x r
  • 94.25 = 6.28 x r
  • 15 ≈ r
  • Now find the area of a circle with a radius of 15
  • A = ∏r2
  • A = 3.14 x 152
  • A = 3.14 x 225
  • A = 706.5
  1. Area = 38.5 ft2 will be shaded under the umbrella.   Student work might include but is not limited to
  • A = ∏r2
  • A = 3.14 x 3.52
  • A = 3.15 x 12.25
  • A = 38.465
  • A ≈ 38.5
  1. Circumference = 69.1 m       Area =  379.9 m2
    Student work might include but is not limited to,
  • C = ∏D
  • C = 3.14 x 22
  • C = 69.08
  • C ≈ 69.1
  • Find the radius for the area by taking half of the diameter.  D = 22  R = 22÷2 or 11
  • A = ∏r2
  • A = 3.14 x 112
  • A = 3.14 x 121
  • A = 379.94
  • A ≈379.9
  1. The area of a circle would be increased by a factor of 4 if the radius was doubled. Student work might include but is not limited to,
  • A = ∏r2 is the formula for area of a circle
  • Replace the r with 2r to show that the radius has doubled
  • A = ∏ x (2r)2
  • A = ∏ x 2r x 2r
  • A = ∏ x 4r2
  • This shows that the area will be 4 times more than it was when I started.
  • The reason that this happens is because 2r is being squared and 22 = 4.
  1. The ratio of the circumference to the area is 31.42 : 78.5.  Student work might include but is not limited to,
  • C = 2 ∏r
  • 31.42 = 2 x 3.14 x r
  • 31.42 = 6.28 x r
  • 5 ≈ r
  • A = ∏r2
  • A = 3.14 x 52
  • A = 3.14 x 25
  • A = 78.5
  • Ratio 31.42 : 78.5
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