North Kitsap High School PAL Program Course Title: Geometry Course Code: Text: Geometry, Holt McDougal Month September October November December January Topics Learning Objectives Essential Questions Learning Activities Assessment (Rubric: 1,2,3,4)* Use correct terminology for geometric figures; apply formulas in/out of coordinate plane CC 2D: Describe the intersection of lines in the plane and in space, of lines and planes, and of planes in space. CC 4B: Determine the coordinates of a point that is described geometrically. CC1F: Explain the role of definitions, undefined terms, postulates, axioms and theorems. Chapter 1: Sections 1-7 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally Use deductive and inductive reasoning to make arguments; plan and write geometric proofs Use and prove properties of parallel lines and the angles formed by parallel lines and transversals CC 1C: Use deductive reasoning to prove that a valid geometric statement is true. CC 1D: Write the converse, inverse and contrapositive of a valid proposition and determine their validity. CC1E: Identify errors of gaps in a mathematical argument and develop counterexamples to refute invalid statements CC 2A: Know, prove and apply theorems about parallel and perpendicular lines. CC 2B: Know, prove and apply theorems about angles, including angles that arrive from parallel lines intersected by a transversal. CC 2C: Explain and perform classis compass and straightedge constructions related to parallel and perpendicular lines. CC 2D: Describe the intersection of lines in the plane and in space of lines and planes, and of planes in space. CC 4A: Determine equations of lines in the coordinate plane. CC 3B: Determine and prove triangle congruence and other properties of triangles. Chapter 2: Sections 2.1-2.7 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally Chapter 3: Sections 3.1-3.6 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally Chapter 4: 4.1-4.9 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally CC 3A: Know and apply basic postulates and theorems about triangles and the special lines, line segments and rays associated with a triangle. CC 3E: Know and apply the Pythagorean Theorem and its converse. Chapter 5: 5.1-5.8 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally Prove and use the Triangle Sum Theorem; understand congruence and prove triangles are congruent. Apply the properties of special triangle segments to solve real-world problems. North Kitsap High School PAL Program Course Title: Geometry Course Code: Text: Geometry, Holt McDougal Month February March April May June Topics Learning Objectives Essential Questions Learning Activities Assessment Apply the properties of regular polygons to real life; apply properties of special parallelograms. Apply trigonometric ratios to real-world situations. CC 3F: Know, prove and apply basic theorems about parallelograms. CC 4C: Apply properties of quadrilaterals in the coordinate plane. CC 3G: Know, prove and apply properties of quadrilaterals and other polygons. Chapter 6: 6.1-6.6 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally CC 3C: Use the properties of special right triangles (30o60o-90o and 450-45o-90o) to solve problems. CC 3E: Solve problems involving the basic trigonometric ratios of sine, cosine and tangent. Chapter 8: 8.2-8.5 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally Apply reflections, translations and rotations to simple geometric figures in the coordinate plane. CC 5A: Sketch results of transformations and compositions of transformations for a given twodimensional figure on the coordinate plane; describe the rule(s) for performing translations or for performing reflections about the coordinate axes or the line y=x. CC 5B: Determine and apply properties of transformations. CC 5C: Describe composition of translations, reflections, rotations that superimposes one figure on another. CC 6A: Apply formulas for arc length and area of a sector of a circle. CC 3H: Know and apply basic theorems relating circles to tangents, chords, radii, secants and inscribed angles. Chapter 9: 9.1-9.4 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally Chapter 12: 12.1-12.7 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally CC 1K: Describe prisms, pyramids in terms of their faces, edges, vertices and properties. CC 6C: Apply formulas for surface area and volume of three-dimensional figures to solve problems. Chapter 11: 11.1-11.3 complete assigned problems in each section; watch website tutorials; take interactive quizzes/tests; do website practice worksheets Pass chapter test with a minimum of 70%; submit specified problems from website and text; demonstrate comprehension by answering questions orally Rubric: 1 – insufficient evidence of learning ( U) 2 – adequate evidence of learning (C) 3 – good understanding of material (B) 4 – excellent grasp of material (A) Apply properties of lines and angles that intersect circles. Analyze the properties of circles in the coordinate plane Apply formulas for volume to realworld problems