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Geometry, American: syllabus

The lessons in book order, one card per unit. Open any lesson that has an episode if you have access; locked lessons are greyed out.

5 of 96 lessons have an episode

See all 5 episodes

Unit 1: Constructions and Rigid Transformations

15 lessons4 episodes
  1. Compass and Straightedge Constructions (Build It)

    No episode for this lesson yet.
  2. Construction Techniques: Perpendicular Bisectors

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  3. Construction Techniques: Equilateral Triangles

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  4. Construction Techniques: Perpendicular Lines and Angle Bisectors

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  5. Construction Techniques: Parallel and Perpendicular Lines

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  6. Construction Techniques: Squares

    No episode for this lesson yet.
  7. Rigid Transformations

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    Try it in the lab
  8. Defining Reflections

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    • Reflections14 min
      Locked
  9. Defining Translations

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    • Translations14 min
      Locked
  10. Defining Rotations

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    • Rotations14 min
      Locked
  11. Symmetry

    Locked
    • Symmetry and Sequences of Transformations14 min
      Locked
  12. Working with Rigid Transformations

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  13. Evidence, Angles, and Proof (vertical angles)

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  14. Transformations, Transversals, and Proof (parallel lines)

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    Try it in the lab
  15. Triangle Angle Sum Theorem (One Hundred and Eighty)

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Unit 2: Congruence

11 lessonsno episodes yet
  1. Congruent Parts

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  2. Congruent Triangles

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  3. Side-Angle-Side Triangle Congruence

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  4. Angle-Side-Angle Triangle Congruence

    No episode for this lesson yet.
  5. The Perpendicular Bisector Theorem

    No episode for this lesson yet.
  6. Side-Side-Side Triangle Congruence

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  7. Practicing Proofs

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  8. Side-Side-Angle (Sometimes) Congruence

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  9. Proofs about Quadrilaterals

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  10. Proofs about Parallelograms

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  11. Congruence for Quadrilaterals

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Unit 3: Similarity

11 lessons1 episode
  1. Scale Drawings

    No episode for this lesson yet.
  2. Measuring Dilations

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  3. Dilating Lines and Angles

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    Try it in the lab
  4. Splitting Triangle Sides with Dilation (triangle proportionality)

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  5. Connecting Similarity and Transformations

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  6. Are They All Similar?

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  7. Conditions for Triangle Similarity

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  8. Practice With Proportional Relationships

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  9. Using the Pythagorean Theorem and Similarity

    Locked
    • The Pythagorean Theorem9 min
      Locked
  10. Proving the Pythagorean Theorem

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  11. Finding All the Unknown Values in Triangles

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Unit 4: Right Triangle Trigonometry

9 lessonsno episodes yet
  1. Angles and Steepness

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  2. Special Right Triangles: 45-45-90 (Half a Square)

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  3. Special Right Triangles: 30-60-90 (Half an Equilateral Triangle)

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  4. Ratios in Right Triangles

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  5. Working with Trigonometric Ratios (sine, cosine, tangent)

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  6. Applying Ratios in Right Triangles

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  7. Sine and Cosine in the Same Right Triangle

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  8. Using Trigonometric Ratios to Find Angles

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  9. Solving Problems with Trigonometry

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Unit 5: Solid Geometry

14 lessonsno episodes yet
  1. Solids of Rotation

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  2. Slicing Solids (cross sections)

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  3. Creating Cross Sections by Dilating

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  4. Scaling and Area

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  5. Scaling Solids

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  6. Cylinder Volumes

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  7. Cross Sections and Volume (Cavalieri's principle)

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  8. Prism Volumes

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  9. Prisms and Pyramids

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  10. Building a Volume Formula for a Pyramid

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  11. Putting All the Solids Together (pyramids, cones, cylinders, prisms)

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  12. Surface Area and Volume

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  13. Volume and Density

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  14. Volume and Graphing

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Unit 6: Coordinate Geometry

15 lessonsno episodes yet
  1. Rigid Transformations in the Plane

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    Try it in the lab
  2. Transformations as Functions

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  3. Types of Transformations

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  4. Distances and Circles (equation of a circle)

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  5. Completing the Square to Find a Circle's Center and Radius

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  6. Distances and Parabolas (focus and directrix)

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    Try it in the lab
  7. Equations and Graphs

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  8. Equations of Lines

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  9. Parallel Lines in the Plane

    No episode for this lesson yet.
  10. Perpendicular Lines in the Plane

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  11. Intersection Points

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  12. Coordinate Proof

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  13. Weighted Averages (partitioning a segment)

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  14. Weighted Averages in a Triangle (medians and centroid)

    No episode for this lesson yet.
  15. Lines in Triangles

    No episode for this lesson yet.

Unit 7: Circles

11 lessonsno episodes yet
  1. Lines, Angles, and Curves (chords, central angles, arcs)

    No episode for this lesson yet.
  2. Inscribed Angles

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  3. Tangent Lines

    No episode for this lesson yet.
  4. Quadrilaterals in Circles (cyclic quadrilaterals)

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    Try it in the lab
  5. Triangles in Circles (circumscribed circle)

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  6. A Special Point (angle bisectors and incenter)

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  7. Circles in Triangles (inscribed circle)

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  8. Arcs and Sectors

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  9. Part to Whole (arc length and sector area)

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  10. Radian Measure (A New Way to Measure Angles)

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    Try it in the lab
  11. Using Radians

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Unit 8: Conditional Probability

10 lessonsno episodes yet
  1. Playing with Probability

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  2. Sample Spaces

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  3. Tables of Relative Frequencies

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  4. Combining Events

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  5. The Addition Rule

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  6. Related Events

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  7. Conditional Probability

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  8. Using Tables for Conditional Probability

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  9. Using Probability to Determine Whether Events Are Independent

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  10. Probabilities in Games

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