Engaging Math Lessons.

Please browse our selection of mathematics lessons sorted by subject and current common core standards for improving math achievement for every student.

Traditional Pathway: Geometry

Below are a comprehensive set of lesson plans and worksheets for Geometry that correspond to the given Common Core concept and help students solve real-world problems. Lesson previews provide a quick glimpse at the provided materials.

  • Concept:

    Expressing Geometric Properties with Equations
  • Common Core Standard:CCSS.Math.Content.HSG.GPE.A.1
  • Description: Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
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geometry image

  • Concept:

    Expressing Geometric Properties with Equations
  • Common Core Standard:CCSS.Math.Content.HSG.GPE.A.2
  • Description: Derive the equation of a parabola given a focus and directrix.
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geometry image

  • Concept:

    Expressing Geometric Properties with Equations
  • Common Core Standard:CCSS.Math.Content.HSG.GPE.A.3
  • Description: Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
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geometry image

  • Concept:

    Expressing Geometric Properties with Equations
  • Common Core Standard:CCSS.Math.Content.HSG.GPE.B.4
  • Description: Use coordinates to prove simple geometric theorems algebraically.
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geometry image

  • Concept:

    Expressing Geometric Properties with Equations
  • Common Core Standard:CCSS.Math.Content.HSG.GPE.B.5
  • Description: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
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geometry image

  • Concept:

    Expressing Geometric Properties with Equations
  • Common Core Standard:CCSS.Math.Content.HSG.GPE.B.6
  • Description: Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
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geometry image

  • Concept:

    Expressing Geometric Properties with Equations
  • Common Core Standard:CCSS.Math.Content.HSG.GPE.B.7
  • Description: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
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geometry image

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