Geometry Part 1 investigates points, lines, planes, reasoning and proof, parallel and perpendicular lines, relationships within triangles, and quadrilaterals. Technology is stressed and integrated into lessons and exercises throughout the course in order to improve students' overall understanding and performance of geometric concepts.
It is recommended that students successfully complete Algebra I or equivalent course work before enrolling this course.
Unit 1: Essential Content and Skills
- Use inductive reasoning to make conjectures.
- Make isometric and orthographic drawings.
- Understand basic geometric terms and postulates.
- Identify segments, rays, parallel lines, and special angle pairs.
- Find segment lengths, angle measures, and perimeters and areas of geometric figures.
- Use a compass and a straightedge to construct congruent segments, congruent angles, and to bisect segments and angles.
- Find the distance between two points in the coordinate plane and the coordinates of a segment’s midpoint.
Unit 2: Essential Content and Skills
- Recognize conditional statements and write converses, biconditionals, and definitions.
- Use the Law of Detachment and the Law of Syllogism.
- Connect reasoning from algebra to geometry.
- Apply and approve theorems about angles and properties of parallel lines.
- Examine parallel and perpendicular lines.
- Classify triangles and polygons and find their angle measures.
- Write equations of lines and graph lines given their equations.
Unit 3: Essential Content and Skills
- Construct parallel and perpendicular lines.
- Recognize congruent figures and their corresponding parts.
- Determine two triangles congruent using SSS, SAS, ASA, AAS, and HL.
- Use triangle congruence and CPCTC to prove that parts of two triangles are congruent.
- Apply properties of isosceles triangles.
- Examine congruent overlapping triangles.
- Apply properties of mid-segments to solve problems.
Unit 4: Essential Content and Skills
- Use the properties of perpendicular bisectors, angle bisectors, and medians and altitudes of a triangle.
- Write the negation, inverse, and contrapositive of a conditional statement.
- Apply inequalities involving angles and sides of triangles.
- Classify special types of quadrilaterals, determine if a quadrilateral is a parallelogram, and determine whether a parallelogram is a rhombus or a rectangle.
- Use relationships of sides and angles of parallelograms.
- Employ properties of trapezoids, kites, and diagonals of rhombuses and rectangles.
- Name coordinates of special figures by using their properties.
- Prentice Hall Geometry (textbook)
*Available as an iText course