Geometry (FL B.E.S.T.)
Learn high school geometry aligned to the Florida B.E.S.T. math standards. Practice with immediate feedback. Learn from step-by-step examples and conceptual explorations.
9 units241 videos22 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Lines, angles, and geometric figures
Intro to Euclidean geometry
Conditional statements
Distance and midpoints
Dividing line segments
Weighted averages
Medians and centroids
Triangle medians & centroids ✓ Check-ins ✎ Fixed a slip8:59
Triangle medians and centroids (2D proof) ✓ Check-ins15:15
Dividing triangles with medians ✓ Check-ins7:46
Exploring medial triangles ✓ Check-ins11:33
Centroid & median proof ✓ Check-ins ✎ Fixed a slip6:56
Median, centroid example ✓ Check-ins9:00
Problem solving with distance on the coordinate plane
Equations of parallel & perpendicular lines
Parallel lines from equation ✓ Check-ins3:48
Parallel lines from equation (example 2) ✓ Check-ins3:03
Parallel lines from equation (example 3) ✓ Check-ins2:42
Perpendicular lines from equation ✓ Check-ins3:29
Writing equations of perpendicular lines ✓ Check-ins3:01
Writing equations of perpendicular lines (example 2) ✓ Check-ins1:45
Proof: parallel lines have the same slope ✓ Check-ins5:49
Proof: perpendicular lines have opposite reciprocal slopes ✓ Check-ins8:55
Angle measures with parallel lines
Construct congruent segments and angles
Unit 2: Describing and performing transformations
Reflections
Symmetry
Algebraic rules for rigid transformations
Translations: graph to algebraic rule ✓ Check-ins2:21
Translations: description to algebraic rule ✓ Check-ins1:29
Rotations: graph to algebraic rule ✓ Check-ins4:07
Rotations: description to algebraic rule ✓ Check-ins4:15
Reflections: graph to algebraic rule ✓ Check-ins2:28
Reflections: description to algebraic rule ✓ Check-ins ✎ Fixed a slip2:39
Algebraic rules for dilations
Composing transformations
Unit 3: Transformation properties and proofs
Rigid transformations overview
Dilation preserved properties
Properties & definitions of transformations
Proofs with transformations
Unit 4: Triangles and congruence
Transformations & congruence
Triangle inequality theorem
Congruent triangles
Triangle congruence from transformations
Proving the SSS triangle congruence criterion using transformations ✓ Check-ins5:47
Proving the SAS triangle congruence criterion using transformations ✓ Check-ins4:31
Proving the ASA and AAS triangle congruence criteria using transformations ✓ Check-ins7:24
Why SSA isn't a congruence postulate/criterion ✓ Check-ins7:24
Unit 5: Relationships in triangles and quadrilaterals
Theorems concerning triangle properties
Working with triangles
Proofs of general theorems
Justifying geometric constructions
Geometric constructions: congruent angles ✓ Check-ins4:09
Geometric constructions: parallel line ✓ Check-ins2:03
Geometric constructions: angle bisector ✓ Check-ins2:17
Geometric constructions: perpendicular bisector ✓ Check-ins1:26
Geometric constructions: perpendicular line through a point on the line ✓ Check-ins1:12
Geometric constructions: perpendicular line through a point not on the line ✓ Check-ins2:42
Theorems concerning parallelogram properties
Proof: Opposite sides of a parallelogram ✓ Check-ins8:30
Proof: Diagonals of a parallelogram ✓ Check-ins9:06
Proof: Opposite angles of a parallelogram ✓ Check-ins4:08
Proof: The diagonals of a kite are perpendicular ✓ Check-ins11:06
Proof: Rhombus diagonals are perpendicular bisectors ✓ Check-ins4:04
Proof: Rhombus area ✓ Check-ins5:07
Unit 6: Similarity
Definitions of similarity
Introduction to triangle similarity
Solving similar triangles
Solving problems with similar & congruent triangles
Proving relationships using similarity
Pythagorean theorem proof using similarity ✓ Check-ins9:52- Exploring medial triangles ✓ Check-ins11:33
Proof: Parallel lines divide triangle sides proportionally ✓ Check-ins6:32
Proving slope is constant using similarity ✓ Check-ins7:56- Proof: parallel lines have the same slope ✓ Check-ins5:49
- Proof: perpendicular lines have opposite reciprocal slopes ✓ Check-ins8:55
Theorems concerning trapezoid properties
Trapezoid midsegment length ✓ Check-ins1:33
Proof: Trapezoid midsegment length ✓ Check-ins ✎ Fixed a slip6:59
Proof: Base angles of isosceles trapezoids ✓ Check-ins6:39
Opposite angles of isosceles trapezoid ✓ Check-ins1:09
Trapezoid diagonals conjecture ✓ Check-ins4:21
Proof: Diagonals of isosceles trapezoid ✓ Check-ins2:39
Solving modeling problems with similar & congruent triangles
Unit 7: Right triangles & trigonometry
Pythagorean theorem
Pythagorean theorem proofs
Special right triangles
Ratios in right triangles
Introduction to the trigonometric ratios
Solving for a side in a right triangle using the trigonometric ratios
Modeling with right triangles
Unit 8: Circles
Circle basics
Arc measure
Arc length (from degrees)
Inscribed shapes problem solving
Proofs with inscribed shapes
Properties of tangents
Proof: Radius is perpendicular to tangent line ✓ Check-ins8:41
Proof: Segments tangent to circle from outside point are congruent ✓ Check-ins3:56
Tangents of circles problem (example 1) ✓ Check-ins4:37
Tangents of circles problem (example 2) ✓ Check-ins3:47
Tangents of circles problem (example 3) ✓ Check-ins2:34
Properties of chords
Properties of secants
Constructing regular polygons inscribed in circles
Constructing circumcircles & incircles
Constructing a line tangent to a circle
Graphs of circles intro
Standard equation of a circle
Expanded equation of a circle
Constructing inscribed and circumscribed circles of a triangle
Unit 9: Geometric measurement
Area of composite figures
Regular polygon area
2D vs. 3D objects
Cavalieri's principle and dissection methods
Volume and surface area
Surface area
Scaling 2D figures
Scaling 3D figures
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
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