Tools of Geometry
- Use Patterns and Inductive Reasoning
- Points, Lines, Planes
- Segments, Rays, Parallel Lines, Planes
- Measure Angles and Segments
- Deductive Reasoning
- Coordinate Plane
- Algebra Review:
- Probability
- Graph Data:
- Stem and Leaf
- Box and Whiskers
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Investigate Geometric Figures
- Triangles
- Polygons
- Exterior Angles of Polygons
- Parallel and Perpendicular Lines
- Quadralateral Classification
- Circles
- Congruent and Similar Figures
- Isometric and Orthographic Drawings
- Algebra Review:
- Equations of Lines
- Write Linear Equations
- Slope Intercept Form of a Line
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Transformations
- Reflections
- Translations
- Rotations
- Compositions of Reflections
- Symmetry
- Tessellations
- Dilations
- Algebra Review:
- Irrational Numbers
- Locate Real Numbers on a Number Line
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Triangle Relationships
- Logical Reasoning
- Isosceles Triangles
- Proofs
- Midsegments of Triangles
- Indirect Reasoning
- Algebra Review:
- Solving Inequalities
- Triangle Inequalities
- Bisectors and Locus
- Special Segments in Triangles
- Concurrent Lines
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Measuring in the Plane
- Perimeter and Area
- Area of Parallelograms and Triangles
- Algebra Review:
- Simplify Radicals
- Pythagorean Theorem and Its Converse
- Special Triangles
- Area of Trapezoids
- Area of Regular Polygons
- Circles:Circumference and Arc Length
- Areas of Circles, Sectors
- Segments of Circles
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Measure in Space
- Space Figures and Nets
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Volumes of Prisms and Cylinders
- Volumes of Pyramids and Cones
- Surface Area and Volume of Spheres
- Composite Space Figures
- Geometric Probability
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Reasoning and Parallel Lines
- Parallel Lines and Related Angles
- Prove Lines Parallel
- Parallel Lines and Perspective Drawing
- Algebra Review:
- Order of Operations
- Systems of Linear Equations
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Proving Triangles Congruent
- Use SSS and SAS
- Explore SSA and AAA
- Use ASA and AAS
- Congruent Right Triangles
- Proofs
- More Than One Pair of Congruent Triangles
- Algebra Review:
- Quadratic Equations
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Quadrilaterals
- Properties of Quadrilaterals
- Prove Quadrilateral is a Parallelogram
- Diagonals
- Special Parallelograms
- Quadrilaterals Within Quadrilaterals
- Trapezoids and Kites
- Coordinate Proofs
- Algebra Review:
- Rational Expressions
- Order of Operations
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Similarity
- Ratio, Proprtion and Similarity
- Algebra Review:
- Direct Variation
- Prove Similar Triangles: AAA, SAS, SSS
- Proportions and Similar Triangles
- Perimeters and Areas of Similar Triangles
- Similar Solids
- Areas and Volumes of Similar Solids
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Chords, Secants and Tangent
- Circles in the Coordinate Plane
- Properties of Tangents, Chords and Arcs
- Inscribed Angles
- Angles Formed by Chords, Secants and Tangents
- Circles and Lengths of Segments
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