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Segment 1
Module 1 ~ Basics of Geometry
1.01 World of Measuring
1/9 PUNdefinded Terms
2/9 Angle, circle, perpendicular lines parallel lines, line segment
3/9 Line segments
4/9 Geometry symbols
5/9 Sketching and drawing
6/9 Theorems postulates Pythagorean Thm (definitions)
8/9 Points Postulate, Intersecting Lines Postulate, Intersecting Planes Postulate, Coplanar Points Postulate
1.02 Sectionals
2/13 Construction - copy line segment
4/13 Angles: acute right obtuse straight
5/13 Construction - angles
6/13 Construction - angle bisector
7/13 Construction - segment bisector
8/13 Finding the lengths of segments (absolute value)
9/13 Segment Addition
10/13 Prove it Scenario
11/13 Justification in a proof
12/13 Justification in a proof
13/13 GeoPractice
1.03 Parallel Universe
1/5 Parallel and Perpendicular Constructions
2/5 Constructing parallel lines
3/5 Constructing perpendicular lines
4/5 Symbols used for parallel and perpendicular lines
5/5 Creating || and perpendicular lines with GeoGebra
1.04 Angle Pairs, || lines, Transversals
1/7 Angle Pairs
2/7 Vertical Angles
3/7 Supplementary Angles Adjacent Angles
4/7 Transversals Skew Lines Parallel Lines
5/7 Corresponding Angles Postulate; Alternate Interior Angles Thm; Alternate Exterior Angles Thm; Same-Side Interior
Angles Thm
6/7 Postulates and Theorems
1.05 Module 1 Activity ~ Debate
1.06 Review and Practice Test
Printable postulates 4/ 7
Printable theorems 5/ 7
1/7 Defined and Undefined terms
2/7 Sketching Drawing and Constructing
3/7 Theorems Postulates Defined Terms Undefined Terms
4/7 Points Postulate; Intersecting Lines Postulate; Intersecting Planes Postulate; Coplanar Points Postulate; Distance
Between Points
Postulate; Segment Addition Postulate
5/7 Vertical Angles Thm; Alternate Interior Angles Thm; Alternate Exterior Angles Thm; Same Side Interior Angles
Thm
6/7 Angle Pairs Supplementary Pairs
Congruent Pairs
7/7 Algebra Practice
1.07 DBA
1.08 Module 1 Test
Module 2 ~ Triangle Properties
2.01 Classifying Triangle
1/10 Classifying by angles and sides
2/10 Triangle Sum Theorem
3/10 Naming triangles by Angles or Sides
4/10 Isosceles Triangles
5/10 Classifying triangles by Angles and Sides
6/10 Classifying triangles
7/10 Exterior angles of a triangle
8/10 Exterior Angle Theorem
9/10 Range of possible lengths for the third side of a triangle
10/10 Identifying triangles by angle measures
2.02 1, 2, 3 Construct
1/7 Construct Triangles: Acute, Right, and Obtuse
2/7 Construct scalene and isosceles triangles
3/7 Construct equilateral/equiangular
4/7 Construct combination triangles: using acute, right, obtuse, scalene, isosceles, and equilateral/equiangular.
5/7 Practice combination constructions
6/7 GeoGebra intro
7/7 Create a space using triangles (ex: college dorm room)
2.03 Are We There Yet?
1/7 Distance formula
2/7 Plot points on a graph review Simplifying radical review
3/7 Use Distance formula for finding length
4/7 Use the Distance formula for finding the length to help you identify the triangle
5/7 Midpoint formula
6/7 Example: Triangulation of Cell phone towers
2.04 Magical Medians, Awesome Altitudes
1/8 Median
2/8 Centroid
3/8 Construct the Centroid of a Triangle
4/8 Construct an Altitude of a Triangle
5/8 Altitudes
6/8 Construct the Orthocenter Concurrency of Altitudes Theorem
7/8 Using GeoGebra Find the center of these two triangles
8/8 CM Centroid-Median OA Orthocenter-Altitude
2.05 Fully Centered
1/12 Points of Concurrency
2/12 Construct the incenter
3/12 Theorem Concurrency of Angle Bisectors Theorem
4/12 Incenter
5/12 Perpendicular bisectors -> point of concurrency -> circumcenter
6/12 Construct the circumcenter
7/12 Theorem Concurrency of Perpendicular Bisectors Theorem
8/12 Where is the Circumcenter?
9/12 Practice with GeoGebra Acute Triangle with Incenter Obtuse Triangle with Circumcenter
2.06 Module 2 Activity Bridge
2.07 Module 2 Review and Practice Test
1/7 Classifying Triangles
2/7 Constructions (videos)
3/7 Distance and Midpoint Formulas
4/7 Medians create Centroids
5/7 Constructions (Videos)
6/7 Theorems List
2.08 Module 2 DBA
2.09 Module 2 Test
Module 3 ~ Congruent Triangles
3.01 Not So Much The Same
1/12 Triangle Inequality Theorem
2/12 Triangle Inequality Theorem Practice
3/12 Corollary to the Triangle Inequality Theorem
4/12 The third side of a triangle is > than the difference of the two sides and < the sum of the two sides given
5/12 The longest side of a triangle is opposite the largest angle
6/12 Opposite Angle Theorem
7/12 Opposite Side Theorem
8/12 Hypothesis, Conclusion, Converse
9/12 Hinge Theorem
10/12 Hinge Theorem
11/12 Converse of the Hinge Theorem
3.02 Conga with Congruency
1/13 Orientation/Congruency
2/13 Congruency: minimum of 3 matching values
3/13 Corresponding Parts of Triangles
4/13 In congruent triangles Order Matters
5/13 SSS Side-Side-Side Postulate
6/13 SSS
7/13 SAS Side Angle Side Postulate
8/13 ASA Angle Side Angle Postulate
9/13 AAS Angle Angle Side Theorem
10/13 Why AAA doesn't work
11/13 CPCTC
3.04 Similar Triangles
1/10 AA Similarity Postulate
2/10 AA Similarity Postulate and Practice
3/10 SAS Similarity Postulate
4/10 SAS Similarity Postulate and Practice
5/10 SSS Similarity Postulate
6/10 SSS Similarity Postulate and Practice
7/10 Triangle Proportionality Theorem
8/10 Triangle Proportionality Theorem and Practice
9/10 Proportional Perimeter Theorem
10/10 Proportional Perimeter Theorem and Practice
3.05 Mean, Similar Triangles
1/4 Pieces of Right Triangles Similarity Theorem
2/4 Proportions: Extremes and Means
2/4 First Corollary: Geometric mean
2/4 Second Corollary: Geometric mean
3/4 Radical Means: How to find the geometric mean using a proportion
4/4 Geometric Mean practice
3.06
3.07
3.08
3.09
Module 3 Activity
Module 3 Review and Practice Test
DBA Module 3
Module 3 Test
Module 4 ~ Triangles and Trigonometry
4.01 Pythagorean Theorem
1/5 Pythagorean Theorem
2/5 Practice Pythagorean Theorem
3/5 Pythagorean Theorem Converse
4/5 Using the Converse of Pythagorean Theorem
4.02 SOHCAHTOA
1/10 Pieces of a Right Triangle
2/10 SOH CAH TOA
3/10 SOH CAH TOA
4/10 Using Sine
5/10 Using Sine part 2
6/10 Using Cosine
7/10 Using Tangent
8/10 Tangent
4.03 Cosecant, Secant, and Cotangent
1/5 The Reciprocal Functions (cosecant, secant and cotangent)
2/5 Finding the Values of Cosecant, Secant, and Cotangent
3/5 Calculator Skills
5/5 More Complex Relationships
4.04 Special Right Triangles
1/5 45-45-90 Triangle
2/5 Examples of 45-45-90 Triangles
3/5 30-60-90 Triangle
4/5 Examples of 30-60-90 Triangles
4.05
4.06
4.07
4.08
Module 4 Activity ~ Friends at the Library
Module 4 Review and Practice Problems
Module 4 DBA
Module 4 Test
Module 5 ~ Quadrilaterals
5.01 Classifying Quadrilaterals
1/7 Parallelogram
2/7 Rectangle
3/7 Rhombus
4/7 Rectangles and the Rhombus
5/7 Square
6/7 Relationships Between Quadrilaterals
5.02 Trapezoids and Kites
1/9 Trapezoid angles
2/9 Right Trapezoids and Midsegments
3/9 Isosceles Trapezoid
4/9 Supplementary angles, Midsegment, isosceles trapezoids, diagonals of isosceles trapezoids
5/9 Kite segments
6/9 Angles of a kite
7/9 Diagonals of a kite
8/9 Kite: non vertex angles, perpendicular diagonal thm, bisecting diagonal thm, bisecting vertex angles thm
5.03 Similarities and Differences
1/6 Venn Diagrams
2/6 T-Charts
3/6 Compare/Contrast Matrix
4/6 Written Explanations
5/6 Analogies
6/6 Analogies
5.04 Coordinate Geometry
1/8 Review of Quadrilaterals
2/8 Trapezoids
3/8 Rectangles
4/8 Rectangles
5/8 Rhombi and Squares
6/8 Kites
7/8 Kites
5.05 Congruent and Similar Twins
1/6 Review of Congruency and Similarity
2/6 The Congruent Twins
3/6 Practice with Congruency
4/6 The Similar Twins (Kites)
5/6 Examples of Similar Twins (Rectangles/Trapezoids)
5.06 Natural Ratios (Honors)
1/5 Golden Ratio
2/5 The Ratio (approx. 1.618)
3/5 Fibonacci sequence
4/5 Fibonacci sequence Nautilus Shell
5/5 Examine the Fibonacci Sequence
5.07
5.08
5.09
5.10
Module 5 Activity ~ Treasure Map
Module 5 Review and Practice Test
Module 5 DBA
Module 5 Test
Segment 2
Module 6 ~ Transformations
6.01 Polygons
1/10 Polygons
2/10 Regular vs. Irregular
3/10 Convex vs. Concave
4/10 Interior Angles
5/10 Applications of Interior Angle Sum Theorem
6/10 Practice of Interior Angle Sum Theorem
7/10 Exterior Angles
8/10 Applications of the Exterior Angle Sum Theorem
9/10 Practice of the Exterior Angle Sum Theorem
6.02 Translations and Reflections
1/7 Transformations
2/7 Translations
3/7 Examples of Translations
4/7 Reflections
5/7 Discovering Rules of Reflection
6/7 Examples of Reflections
6.03 Vectors (Honors)
1/5 Representing Vectors
2/5 Representing Vectors
3/5 Magnitude and Direction of Vectors
4/5 Applications of Vectors
6.04 Rotations
1/5 Properties of Rotations
2/5 Practicing with Rotations
3/5 Symmetry in Transformations
4/5 Rotational Symmetry
6.05 Tessellations
1/4 What is a tessellation?
2/4 Tessellating a Figure
3/4 Symmetries in Tessellations
6.06 Dilations
1/4 Transformations
2/4 Dilations
3/4 Examples of Dilations
6.06 H Honors ~ Regular Polygons
1/5 Regular Polygons
2/5 Justifying a Regular Polygon
3/5 Congruent and Similar Polygons
4/5 Practicing with Regular, Congruent, and Similar Polygons
6.07
6.08
6.09
6.10
Module 6 Activity ~ Create and Transform a Figure
Module 6 Review and Practice Test
Module 6 DBA
Module 6 Exam
Module 7 Surface Area and Volume (For Formulas see 7.07)
7.01 Area and Perimeter
1/13 Perimeter
2/13 Area of Rectangles and Squares
3/13 Area of Rectangles and Squares
4/13 Area of a Parallelogram
5/13 Area of a Triangle
6/13 Area of a Rhombus and a Kite
7/13 Area of a Trapezoid
8/13 Area of a Regular Polygon
9/13 Calculating the Area of a Regular Polygon
10/13 Two ways to charge
11/13 Two ways to charge 2
12/13 Doubling area etc.
7.02 Polyhedra
1/9 Polyhedra
2/9 Platonic Solids
3/9 Prisms
4/9 Rectangular Prism
5/9 Patterns within Rectangular Prisms
6/9 Triangular Prisms
7/9 Pyramids
8/9 Relationships within Polyhedra
7.02H Honors Cross-sections of Solid Objects
1/3 Cross-sections of Solid Objects
2/3 Perimeters and Areas of Cross-sections of Polyhedra
7.03 Lateral and Surface Area
1/7 Lateral Area vs. Surface Area
2/7 Lateral Area of a Prism
3/7 Lateral Area of Pyramids
4/7 Lateral Area of Composite Figures
5/7 Surface Area
6/7 Changing Dimensions
7.04 Volume for Polyhedra
1/5 The Space Within (Volume)
2/5 Using the Formula for Volume of a Prism
3/5 Volume of a Pyramid
4/5 Volume of Composite Figures
5/5 Changing Dimensions
7.05 Real World Applications LA SA V changes in dimensions
1/5 LA SA Volume
2/5 Volume of Truncated figures
3/5 Volume of Composite Figures
4/5 Changing Dimensions
5/5 Ratios of Similar Solids
7.06
7.07
7.08
7.09
Module 7 Activity ~ Family Pool
Module 7 Review and Practice Test
Module 7 DBA
Module 7 Exam
Module 8 ~ Circles
8.01 Parts of a Circle
1/12 Parts of a Circle
2/12 Angles with Vertices at the Center of a Circle
3/12 More Angles with Vertices at the Center of a Circle
4/12 Angles with Vertices on the Interior (but not the center!) of a Circle
5/12 Inscribed and Circumscribed Angles
6/12 Inscribed Angle to a Semicircle Theorem
7/12 Congruent Inscribed Angles Theorem
8/12 Secant-Tangent Intersection Theorem
9/12 Inscribed Quadrilateral Theorem
10/12 Practice with Inscribed Angles
11/12 Angles with Vertices Outside a Circle Secants
8.02 Equation of a Circle
1/5 Mapping Coordinates
2/5 Writing the Equation of a Circle
3/5 Finding the Center and Radius of a Circle
4/5 Graphing Circles
8.03 H Part 1 Constructing Circles and Tangents
1/4 Constructing a circle through 3 points using a compass and straightedge
2/4 Constructing a Circle with a Drawing Program
3/4 Constructing a tangent line with a compass and straightedge
4/4 Constructing Tangents with a Drawing Program
8.03 H Part 2 Circumscribed and Inscribed Circles
1/7 Circumscribed Circles
2/7 Using a Compass and Straightedge
3/7 Constructing Circumscribed Circles using Technology
4/7 Inscribed Circles to Triangles
5/7 Inscribed Circles to Regular Polygons
6/7 Constructing Inscribed Circles using Technology
7/7 Tying it All Together
8.04 Round and Round We Go
1/8 What is Circumference?
2/8 Finding the Circumference
3/8 Sectors/Arcs
4/8
5/8
6/8
7/8
8/8
Arc Length
Applying the Arc Length Formula
Area of a Circle
Area of a Sector
Area of a Sector
8.05 Areas of Cylinders, cones, and Spheres
1/11 Lateral Area of Cylinders
2/11 Surface Area of Cylinders
3/11 Changing Dimensions of Cylinders
4/11 Lateral Area of Cones
5/11 Surface Area of Cones
6/11 Changing Dimensions of Cones
7/11 Spheres
8/11 Surface Area of Spheres
9/11 Similar Solids
10/11 Composite Solids
8.06 Volume of Cylinders, Cones, and Spheres
1/7 Volume of Cylinders
2/7 Changing Dimensions of Cylinders
3/7 Volume of Cones
4/7 Volume of Cones: Example
5/7 Changing Dimensions of Cones
6/7 Volume of Spheres
8.07
8.08
8.09
8.10
Module 8 Activity ~ Pizza
Module 8 Review and Practice Test
Module 8 DBA
Module 8 Exam
Module 9 ~ Proofs
9.01 Logical Reasoning
1/4 Negation Converse Contrapositive Inverse
2/4 Negation
3/4 Conjunctions, Disjunctions, and Logical Equivalence
4/4 Logically Equivalent Statements
9.01 Honors Logical Reasoning
1/3 Truth Tables
2/3 Practice
3/3 Summary
9.02 Algebraic Properties
1/3 Algebraic Properties as Justifications in Proofs
2/3 Two column proofs
3/3 Paragraph proofs
9.03 Line Proofs
1/3 Geometric Proof
2/3 Proofs for Parallel Lines
3/3 Proofs for Vertical Lines
9.04 Indirect Proofs
1/3 Indirect Proofs
2/3 Two-column Indirect Proofs
3/3 Paragraph Indirect Proofs
9.05
9.06
9.07
9.08
Module 9 Activity ~ Dr. Madness
Module 9 Review and Practice Test
DBA 9
Module 9 Exam
Module 10 ~ Proofs
10.01 Proofs of Angles, Midsegments, and Medians
1/8 Two column Proof
2/8 Proving the Triangle Sum Theorem
3/8 Proving the Isosceles Triangle Theorem
4/8 Proving the Converse of the Isosceles Triangle Theorem
5/8 Proving the Midsegment of a Triangle Theorem
6/8 Proving the Midsegment of a Triangle Theorem
7/8 Review of Centroids, Medians, Orthocenters, Altitudes, Angle Bisectors, Incenters, Perpendicular Bisectors and
Circumcenters
8/8 Proving the Concurrency of the Medians of a Triangle
10.02 Proving Pythagoras and Proportionality
1/5 Proving Pythagoras
2/5 Proving Pythagoras with Similar Triangles
3/5 Converse of the Pythagorean Theorem
4/5 Proving Proportionality with Parallelism
5/5 Proving Parallelism through Proportionality
10.03 Congruent and Similar Triangles Proofs
1/3 Triangle Postulates
2/3 Proving Two Triangles are Congruent
3/3 Proving Two Triangles are Similar
10.04 Quadrilateral Proofs
1/8 Parallelograms and Rectangles
2/8 Proofs for Parallelograms and Rectangles
3/8 Rhombi and Squares
4/8 Proofs for Rhombi and Squares
5/8 Kites and Trapezoids
6/8 Proof for Kites
7/8 Proof for Trapezoids
8/8 Practice with Kites and Trapezoids
10.05 Circle Proofs
1/4 Details in Proofs
2/4 Congruent Arcs and Chords Theorem
3/4 Applying the Perpendicular Diameters and Chords Theorem
10.06
10.07
10.08
10.09
10.10
10.11
10.12
Module 10 Review and Practice Test
Module 10 DBA
Module 10 Exam
Segment 2 Collaboration Component
Segment 2 Review and Practice Test
EOC End of Course Assessment Information
Segment 2 Exam