Honors Geometry
The following learning targets represent the major concepts studied and assessed in this course.
Semester 1
Unit A
Essentials of Geometry
- A1 Construct precise definitions of geometric terms and use the term in written/verbal communication.
- A2 Use correct geometric notation and create/interpret diagrams with symbols to represent geometric definitions and relationships.
- A3 Use algebraic equations to represent geometric relationships.
Unit B
Parallel and Perpendicular Lines
- B1 Determine and justify angle pair relationships using postulates and theorems.
- B2 Determine angle pair relationships using algebra.
- B3 Verify lines are parallel and perpendicular using geometric definitions, postulates, theorems, and/or constructions.
- B4 Verify lines are parallel and perpendicular on the coordinate plane.
Unit C
Transformations
- C1 Perform, verify and/or write the rules for translations on figures within or without the coordinate plane, including composite transformations.
- C2 Perform, verify and/or write the rules for reflections on figures within or without the coordinate plane, including composite transformations.
- C3 Perform, verify and/or write the rules for rotations on figures within or without the coordinate plane, including composite transformations.
- C4 Perform, verify and/or write the rules for dilations on figures within or without the coordinate plane including composite transformations.
Unit D
Triangle Congruence
- D1 Use CPCTC to solve for missing angle measures and side lengths.
- D2 Prove polygons congruent through rigid transformations.
- D3 Prove triangles congruent using theorems, rigid transformations and/or constructions.
Unit E
Relationships with Triangles
- E1 Use triangle theorems to find interior and exterior angle measurements of triangles.
Semester 2
Unit F
Quadrilaterals and Polygons
- F1 Identify polygons by their properties.
- F2 Find side lengths and exterior and interior angles of polygons. (Honors: includes cases that require factoring or systems of equations)
- F3 Identify a special polygon in a coordinate plane by using slope, distance formula, and/or midpoint formula.
Unit G
Similarity
- G1 Use properties and relationships of similarity to justify figures that are similar.
- G2 Identify similarity triangle through dilations and the similarity postulates.
- G3 Use congruence and similarity of triangles to solve unknown measures. (Honors: includes triangle proportionality)
- G4 Honors: Write formal proofs involving the theorems of similar triangles (AA~, SAS~, SSS~).
Unit H
Right Triangle Trigonometry
- H1 Apply the Pythagorean Theorem and its converse (including simplifying and squaring radicals).
- H2 Identify and use special right triangle relationships (including dividing by radical 2 and 3).
- H3 Use trigonometric functions to determine side lengths and angle measurements.
- H4 Honors: Understand and use the Law of Sines to solve problems.
- H5 Honors: Derive and use the formula A = 1/2ab sin C for the area of a triangle.
Unit I
Surface Area and Volume
- I1 Use a variety of models to represent 3-D figures (nets, orthogonal drawings, cross-section, figures formed by transforming 2-D objects).
- I2 Calculate the surface area of a 3-D shape using a variety of models.
- I3 Calculate the volume of a 3-D shapes using a variety of models.
Unit J
Properties of Circles
- J1 Find the measures of central angles, inscribed angles, and arc measures.
- J2 Find the area of a sector and the length of an arc.
- J3 Develop and write equations of circles.
- J4 Honors: Draw and apply inscribed/circumscribed circles to solve problems.