AC Geometry

Geometry A

Unit 1 – Tools of Geometry: This unit covers nets and perspective drawings, points, lines, and planes.  It also covers measuring segments and angles, angle pairs, basic construction, the coordinate plane, perimeter, circumference, and area.

Unit 2 – Reasoning and Proof: This unit discusses inductive reasoning and conditional statements.   It also discusses biconditionals, deductive reasoning, and proofs.

Unit 3 – Parallel and Perpendicular Lines: This unit covers transversals, parallel lines, proving lines parallel, parallel and perpendicular, angle sum theorem, more constructions, equations of lines, and slopes of parallel and perpendicular lines.

Unit 4 – Congruent Triangles: This unit discusses congruent figures, SSS and SAS, ASA and SAA, and corresponding parts.  It also discusses isosceles and equilateral, right triangles, and overlapping triangles.

Unit 5 – Relationships Within Triangles: This unit covers midsegments, bisectors, and centers of triangles.  It also covers indirect proof, and inequalities in one and in two triangles.

Unit 6 – Polygons: This unit discusses polygon angle sums, parallelograms, proving a parallelogram, rhombuses, rectangles, and squares.  It also discusses proving special parallelograms, trapezoids and kites, polygons and coordinates, and using coordinates in proofs. 

Upon completion of this course, students will have demonstrated a mastery of geometric concepts and have developed important mathematical reasoning and proof skills. They will also be more aware of how geometry is an integral part of everyday life. Students will be familiar with parallel and perpendicular lines and how to use them to determine angle measures and congruency. Students will learn various theorems and postulates that prove triangle congruency and similarity, including SSS, SAS, ASA, and SAA Congruency Postulates and the SSS Similarity Theorem. Students know how to calculate the sum of the angles in a polygon. They also are familiar with properties of parallelograms and how to transform various geometric figures. Students have an understanding of basic relationships within triangles and have been introduced to right triangles and the basic trig functions – sine, cosine, and tangent – and have experience using them to solve problems. Students know how to calculate the area of a variety of polygons. They know how to calculate the perimeter, area, and volume of similar figures. They are experienced calculating the surface area and volume for prisms, cylinders, pyramids, cones, and spheres. Students also learn about circles. They learn how to calculate the circumference and area of circles and sectors. They are familiar with chords, arcs, and inscribed angles. Students are familiar with probability distributions and have a deeper understanding of permutations and combinations. They also know how to solve compound and conditional probability problems and have experience with probability models.

https://www.science.edu/acellus/course/acellus-geometry/

9 9th freshman 10 10th sophomore 11 11th junior 12 12th senior grade

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