Fairview High School
 Inventing Quality Work For Students

 

 

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Geometry-Career
Essential Outcomes
Fairview High School

Geometry Career

Reasoning and Proofs

  • Finding patterns and using them to make predictions.

  • Use inductive reasoning to make conjectures.

  • Use postulates and undefined terms.

  • Use if-then statements and apply the laws of logic.

  • Use properties of equality and congruence.

Segments and Angles

  • Sketch simple figures and their intersections.

  • Measure segments and add segment lengths.

  • Measure and classify angles, and add angle measurements.

  • Bisect a segment and find the coordinates of a segment midpoint.

  • Bisect an angle.

  • Find the measure of complementary and supplementary angles.

  • Find the measure of angles formed by intersecting lines.

Perpendicular and Parallel Lines

  • Identify relationships between lines.

  • Use theorems about perpendicular lines.

  • Identify angles formed by transversals.

  • Find congruent angles formed when a transversal intersects parallel lines.

  • Show that two lines are parallel.

  • Use properties of parallel and perpendicular lines.

Triangles

  • Classify triangles by their sides and their angles.

  • Find angle measures in triangles.

  • Use properties of isosceles and equilateral triangles.

  • Use the Pythagorean Theorem and the Distance Formula.

  • Use the Converse of the Pythagorean Theorem-use side lengths to classify triangles.

  • Identify medians in triangles.

  • Use triangle measurements to determine longest side and largest angle.

  • Identify congruent triangles and corresponding parts.

  • Show triangles are congruent using SSS and SAS.

  • Show triangles are congruent using ASA and AAS.

  • Use the HL Congruence Theorem and summarize congruence postulate and theorems.

  • Show corresponding parts of congruent triangles are congruent.

  • Use angle bisectors and perpendicular bisectors.

  • Show that two triangles are similar using AA Similarity Postulates.

  • Show that two triangles are similar using SSS and SAS Similarity Theorems.

  • Use the Triangle Proportionality Theorem and its converse.

  • Find the side lengths of 45-45-90 triangles.

  • Find the side lengths of 30-60-90 triangles.

  • Find the tangent of an acute angle.

  • Find the sine and cosine of an acute angle.

  • Solve a right triangle.

Polygons

  • Identify and classify polygons-find the angle measures of quadrilaterals.

  • Use properties of parallelograms.

  • Show that a quadrilateral is a parallelogram.

  • Use the properties of special types of parallelograms.

  • Use properties of trapezoids.

  • Identify special quadrilaterals based on limited information.

  • Use ratios and proportions.

  • Identify similar polygons.

  • Describe polygons.

  • Find the measure of interior and exterior angles in polygons.

  • Find the area of squares and rectangles.

  • Find the area of triangles.

  • Find the area of parallelograms.

  • Find the area of trapezoids.

Circles

  • Find the circumference and area of circles.

  • Identify segments and lines associated with circles.

  • Use properties of tangent to a circle.

  • Use properties of arcs of circles.

  • Use properties of chords of circles.

  • Use properties of inscribed angles.

  • Write and graph the equation of a circle.

Three Dimensional Figures

  • Identify and name solid figures.

  • Find the surface area of cylinders and prisms.

  • Find the surface area of pyramids and cones.

  • Find the volumes of prisms and cylinders.

  • Find the volumes of pyramids and cones.

  • Find the areas and volumes of spheres.

Transformations

  • Identify and use translations.

  • Identify and use reflections and lines of symmetry.

  • Identify and draw dilations.

  • Identify rotations and rotational symmetry.

 

 

 

 

2595 Fairview Blvd.
Fairview, TN 37062
Phone: 615-472-4400   Fax: 615-472-4421

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Williamson County Schools do not discriminate on the basis of race, color, national origin, sex, handicap, or age.

Williamson County Schools Mission: 
 "The mission of Williamson County Schools is to 
cultivate the ability, intellect, and character of each student."

Williamson County Schools Vision:
 The Williamson County schools provide an engaging and academically enriching environment designed to support the collaborative educational efforts of teachers, students, staff, and community.