Lesson plan

10. Use applications of circles (A)

teaches Common Core State Standards CCSS.Math.Content.7.G.B.4 http://corestandards.org/Math/Content/7/G/B/4
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
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Lesson objective: Apply the formulas for circumference and area of a circle to creatively solve a problem.

This lesson provides an opportunity for students to apply their knowledge and understanding of the area and circumference of a circle to a real-life situation. Students are asked to create and justify an equivalent amount of pancakes that a recipe will produce.  Students wil choose the dimensions for their pancakes and find the total amount that is equivalent to the given amount.

Key Concept students will use: 

  • Circles have an area, just like any other two dimensional shape.

Skills students will use:

  • Calulating the circumference of a circle when given the area.
  • Calculating the area of a circle when given the diameter.
  • Calculating the radius and area of circles.

Students engage in Mathematical Practice #2 (Reason abstractly and computationally) as they choose a size (diameter) for their pancakes and calculate how many pancakes they could make from a given recipe.

Key vocabulary: 

  • area
  • circle
  • circumference
  • diameter
  • pi (π)
  • radius

Special materials needed:

  • none