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:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.A.1
  • Description: Verify experimentally the properties of dilations given by a center and a scale factor.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.A.2
  • Description: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.A.3
  • Description: Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.B.4
  • Description: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.B.5
  • Description: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.C.6
  • Description: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.C.7
  • Description: Explain and use the relationship between the sine and cosine of complementary angles.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.C.8
  • Description: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.D.9
  • Description: Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.D.10
  • Description: Prove the Laws of Sines and Cosines and use them to solve problems.
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geometry image

  • Concept:

    Similarity, Right Triangles, & Trigonometry
  • Common Core Standard:CCSS.Math.Content.HSG.SRT.D.11
  • Description: Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
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geometry image

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