Module 1
Module 1: Congruence, Proof, and Constructions
Congruence, proof, compass-and-straightedge constructions, rigid motions, and properties of geometric figures.
Module Mastery
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A
Basic Constructions
L.M1.A.1
Construct an Equilateral Triangle
L.M1.A.2
Construct an Equilateral Triangle
L.M1.A.3
Copy and Bisect an Angle
L.M1.A.4
Construct a Perpendicular Bisector
L.M1.A.5
Points of Concurrencies
B
Unknown Angles
L.M1.B.4
Unknown Angle Proofs—Writing Proofs
C
Transformations/Rigid Motions
L.M1.C.1
Transformations—The Next Level
L.M1.C.2
Rotations
L.M1.C.3
Reflections
L.M1.C.4
Rotations, Reflections, and Symmetry
L.M1.C.5
Translations
L.M1.C.10
Correspondence and Transformations
D
Congruence
L.M1.D.2
Base Angles of Isosceles Triangles
L.M1.D.5
Triangle Congruency Proofs
L.M1.D.6
Triangle Congruency Proofs
E
Proving Properties of Geometric Figures
L.M1.E.1
Properties of Parallelograms
L.M1.E.2
Special Lines in Triangles
L.M1.E.3
Special Lines in Triangles
F
Advanced Constructions
L.M1.F.2
Construct a Nine-Point Circle
G
Axiomatic Systems
L.M1.G.1
Review of the Assumptions
L.M1.G.2
Review of the Assumptions
Module 2
Module 2: Similarity, Proof, and Trigonometry
Scale drawings, dilations, similarity criteria (AA, SAS, SSS), right triangle similarity, and trigonometric ratios.
Module Mastery
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A
Scale Drawings
L.M2.A.1
Scale Drawings
L.M2.A.5
Scale Factors
B
Dilations
L.M2.B.2
How Do Dilations Map Segments?
L.M2.B.4
How Do Dilations Map Angles?
L.M2.B.6
Dilations from Different Centers
C
Similarity and Dilations
D
Applying Similarity to Right Triangles
E
Trigonometry
L.M2.E.1
Incredibly Useful Ratios
L.M2.E.5
Applying Tangents
L.M2.E.7
Using Trigonometry to Determine Area
L.M2.E.10
Unknown Angles
Module 3
Module 3: Extending to Three Dimensions
Area, surface area, Cavalieri's principle, and volume formulas for prisms, cylinders, pyramids, cones, and spheres.
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A
Area and Surface Area
L.M3.A.1
What Is Area?
L.M3.A.2
Properties of Area
L.M3.A.3
The Scaling Principle for Area
L.M3.A.4
Proving the Area of a Disk
B
Volume
L.M3.B.1
Three-Dimensional Space
L.M3.B.4
Definition and Properties of Volume
L.M3.B.5
Scaling Principle for Volumes
L.M3.B.8
The Volume Formula of a Sphere
L.M3.B.9
How Do 3D Printers Work?
Module 4
Module 4: Connecting Algebra and Geometry Through Coordinates
Analytic proofs on the Cartesian coordinate plane, parallel and perpendicular slopes, distance, and polygonal areas.
Module Mastery
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A
Rectangular Coordinate System
B
Perpendicular and Parallel Lines
L.M4.B.1
Criterion for Perpendicularity
L.M4.B.2
Segments That Meet at Right Angles
L.M4.B.4
Parallel and Perpendicular Lines
C
Perimeters and Areas of Polygonal Regions in the Cartesian Plane
D
Partitioning and Extending Segments and Algebraic Proofs
Module 5
Module 5: Circles With and Without Coordinates
Central and inscribed angles, arc length, sector area, secant and tangent properties, circle equations, and cyclic quadrilaterals.
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A
Central and Inscribed Angles
L.M5.A.1
Thales' Theorem
L.M5.A.3
Rectangles Inscribed in Circles
L.M5.A.4
Experiments with Inscribed Angles
B
Arcs and Sectors
L.M5.B.1
The Angle Measure of an Arc
L.M5.B.2
Arcs and Chords
L.M5.B.3
Arc Length and Areas of Sectors
L.M5.B.4
Unknown Length and Area Problems
C
Secants and Tangents
D
Equations for Circles and Their Tangents
L.M5.D.1
Writing the Equation for a Circle
L.M5.D.2
Recognizing Equations of Circles
E
Cyclic Quadrilaterals and Ptolemy's Theorem
L.M5.E.1
Cyclic Quadrilaterals
L.M5.E.2
Ptolemy's Theorem
Module 1
Ela Standards & Skills - Module 1
Comprehensive academic competencies for 10th Grade aligned with national frameworks.
Module Mastery
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A
Reading: Literature (RL.9-12)
B
Reading: Informational Text (RI.9-12)
C
Writing Standards (W.9-12)
Module 2
Ela Standards & Skills - Module 2
Comprehensive academic competencies for 10th Grade aligned with national frameworks.
Module Mastery
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D
Language & Rhetoric (L.9-12)
Module 1
Science Standards & Skills - Module 1
Comprehensive academic competencies for 10th Grade aligned with national frameworks.
Module Mastery
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A
HS-PS: Physical Sciences (Chemistry & Physics)
B
HS-LS: Life Sciences (Cellular, Genetic, & Ecological Systems)
C