Geometry presents a logical development of the basic concepts and understanding of Euclidean geometry and coordinate geometry. Concepts and skills involve deductive reasoning taught through the use of direct and indirect proofs, angles, parallel lines, triangles, proving triangles congruent, special right triangles, the Pythagorean Theorem, polygons, circles, area, volume, coordinate geometry, constructions and transformations. Below you will find the mastery list for this course as well as Remind101 messages that students can consult at any time.
The online textbook can be found at my.hrw.com
Username: estudent1913
password: devito101
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Time Frame
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Students will have mastered the following:
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September – June
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Essentials of Geometry
- Identify points, lines, and planes
- Use segments and congruence
- Use midpoint and distance formula
Reasoning and proof
- Use and apply inductive/deductive reasoning
- Analyze conditional statements
- Apply properties , postulates, and theorems to formal proofs
Parallel and Perpendicular Lines
- Identify angles formed by parallel lines and a transversal.
- Prove lines are parallel
- Prove theorems about perpendicular lines
Congruent and Similar Triangles
- Apply properties, postulates, and theorems to analyze triangle relationships
- Midsegment theorem and coordinate proof
- Use properties of similarity on triangles
- Apply triangle inequalities
- Use perpendicular bisectors and angle bisectors of triangles
- Use medians and altitudes of triangles.
Right Triangles and Trigonometry
- Apply the Pythagorean Theorem and its Converse
- Use Similar Right Triangles
- Use Special Right Triangles
- Apply the Sine, Cosine, and Tangent Ratios
- Solve Right Triangles
Polygons
- Classify Polygons
- Find angle measures
- Use and apply properties of parallelograms
- Apply properties of rhombi, rectangles, squares, trapezoids, and kites
- Find perimeter and area of quadrilaterals
Circles
- Useproperties of tangents
- Find arc measures
- Apply properties of chords and other angle relationships
- Use inscribed angles and polygons
- Find segment lengths in circles
- Write and graph equations of circles
- Find circumference and arc length
- Find area of circles and sectors
Transformations and Vectors
- Translate figures and use vectors
- Basic operations with matrices
- Perform and identify reflections, rotations, and dilations
- Apply compositions of transformations
- Identify symmetry using lines of symmetry
Solids
- Explore solids
- Find volume and surface area of regular solids
- Identify similar solids
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