• Willmar Senior High Geometry Room 705F

Email: haugenb@willmar.k12.mn.us

Objective: To provide a visual knowledge of the world around us. We will work with the skills of drawing, measurement, and visualization; the properties and deductive nature of geometry’s many uses. The geometry that we will study involves many different ideas, but almost all these ideas concern visual patterns of numbers and shapes. Geometry is the language of design; without it a student has difficulty describing anything physical. Geometry can be a difficult course for many students. Much practice and study is required of students for them to be successful.

Calculator options *TI-84 (Buy or use classroom one) *GraphNcalc (App) *Calculate84 (App)

A 100-93

A- 92-90

B+ 89-88

B 87-83

B- 82-80

C+ 79-78

C 77-73

C- 72-70

D+ 69-68

D 67-63

D- 62-60

F 59-0

Course Outline Common Core Standards (CA)

What should the students know by the end of each term?

• First Term of Geometry:

Unit 1: Tools of Geometry

• Points, Lines, & Planes
• Measuring & Classifying Segments
• Measuring & Classifying Angles
• Angle Pair Relationships
• Midpoint and Distance formulas

Unit 2: Reasoning and Proof

• Patterns and Inductive Reasoning
• Conditional Statements
• Biconditionals and Definitions
• Deductive Reasoning
• Reasoning in Algebra
• Proving angles congruent

Unit 3: Parallel and Perpendicular

• Properties of Parallel Lines
• Proving Lines Parallel
• Parallel and Perpendicular Lines
• Parallel Lines and Triangles
• Triangle-Sum Theorem
• Slopes of Parallel and Perpendicular lines

Unit 4: Congruent Triangles

• Congruent Figures
• Congruent Triangles
• By SSS, SAS, ASA, AAS
• By CPCT
• Exploring Non-Congruent triangle
• SSA and AAA
• Isosceles and Equilateral Triangles

Unit 5: Investigating Midsegments

• Midsegments of Triangles
• Indirect Proof
• Inequalities in Triangles
• Second Term of Geometry:

• The Polygon-Sum Theorem
• Properties of Parallelograms
• Proving That a Quadrilateral is a Parallelogram
• Properties of Rhombuses, Rectangles, and Squares
• Conditions for Rhombuses, Rectangles, and Squares
• Trapezoids and Kites
• Polygons on the Coordinate Plane
• Slope and Distance Formula

Unit 7: Similarity

• Ratios and Proportions
• Similar Figures/Polygons
• Proving Triangles Similar

Unit 8: Right Triangles and Trigonometry

• The Pythagorean Theorem and Its Converse
• Special Right Triangle
• Trigonometry
• Sin, Cos, and Tan
• Angles of Elevation and Depression

Unit 10: Area

• Areas of Parallelograms and Triangles
• Areas of Trapezoids, Rhombuses, and Kites
• Areas of Regular Polygons
• Areas and Circumference of Circles
• Segment of Circles
• Sector of Circles

Unit 11: Surface Area and Volume

• Surface Area
• Prisms, Cylinders, Pyramids, and Cones
• Volume
• Prisms, Cylinders, Pyramids, and Cones
• Surface Area and Volume of Spheres

• To All Students and Parents:

We want to inform you that our school will be transitioning to Standards-Based Learning instruction focusing on proficiency scales.  This approach emphasizes individual student progress and skill mastery.  Our aim is to provide a more personalized and effective learning experience.  We appreciate your support as we work to enhance your child’s education through this method.