7.G.4 - About the Math, Learning Targets, and Increasing Rigor

Grade 5 GT Geometry

7.G.4

Full Standard

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

 

Learning Targets (I can)

  • Describe the relationship between radius and diameter.
  • Explain that the ratio of circumference to diameter is constant (pi).
  • Prove that the ratio of circumference to diameter is constant with various models.
  • Find the circumference of a circle.
  • Find the area of a circle. 
  • Compare and contrast the area and circumference of a circle.

 

About the Math

Construction of circles with the us irrigation_circles e of lines and points will allow students the opportunity to extend prior knowledge of circles.  Practice constructing circles provides a geometric way to conceptually understand the measurement formula and why it is accurate to apply to the circle. This further deepens understanding of equivalence because circles are different from other two-dimensional shapes. They have a perimeter (circumference) and area similar to other two-dimensional shapes.  The discovery of the relationship between the circumference and the area is provided through accurate work with the formulas. Essential vocabulary for this standard includes: circle, circumference, area, diameter, radius, pi, formula . Visit the online dictionary (Links to an external site.) Links to an external site. or visual math dictionary (Links to an external site.) Links to an external site. for vocabulary support.                                            

 

 

Progression of Standard within Grade 5 G/T

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

  • Describe the relationship between radius and diameter.
  • Explain that the ratio of circumference to diameter is constant (pi).
  • Prove that the ratio of circumference to diameter is constant with various models.
  • Find the circumference of a circle.
  • Find the area of a circle. 
  • Compare and contrast the area and circumference of a circle.

 

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade  HS
  • Find area of triangles and special quadrilaterals (6.G.1)
  • Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone (HS.G-GMD.A.1)
  • Use geometric shapes, their measures, and their properties to describe objects (HS.G-MG-A.1)
  • Apply geometric methods  to solve design problems (HS.G-MG-A.3)

 

 

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