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:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.A.1
  • Description: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.A.2
  • Description: Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.A.3
  • Description: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.A.4
  • Description: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.A.5
  • Description: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.B.6
  • Description: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.B.7
  • Description: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.B.8
  • Description: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.C.9
  • Description: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.C.10
  • Description: Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.C.11
  • Description: Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.D.12
  • Description: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
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geometry congruence image

  • Concept:

    Congruence
  • Common Core Standard:CCSS.Math.Content.HSG.CO.D.13
  • Description: Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
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geometry congruence image

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