A.6 linear equations/linear inequal (2 Use algebraic and coordinate methods as well as Resources/Lessons vars) a) determine slope of line given ‐ deductive proofs to verify whether two lines are equation of line/graph of line or two points on parallel. line slope as rate of change; b) write ‐ equation of line given graph of line/two points Solve problems by using the relationships between on line or slope‐point on line pairs of angles formed by the intersection of two 8.6 a) verify/describe relationships among parallel lines and a transversal including vertical/adjacent/ corresponding angles, alternate interior angles, supplementary/complementary angles; alternate exterior angles, and same-side (consecutive) interior angles. Solve real-world problems involving intersecting and parallel lines in a plane. Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block Trdtl Standard:G.4 Key Vocabulary Essential Understandings bisector The student will construct and justify Construction techniques are used to real-world 1day 2 days centroid the constructions of problems in engineering, architectural design, and circumcenter c) a perpendicular to a given line building construction. circumscribed from a point not on the line; compass d) a perpendicular to a given line at Construction techniques include using a straightedge congruence a given point on the line; and compass, paper folding, and dynamic geometry construction g) a line parallel to a given line software. incenter through a point not on the given inscribed line. intersection Essential Knowledge/Skills parallel lines perpendicular bisector Construct and justify the constructions of perpendicular bisector a perpendicular to a given line from a point straightedge not on the line;
A.6 linear equations/linear inequal (2 vars) ‐ a) determine slope of line given equation of line/graph of line or two points on line ‐ slope as rate of change; b) write equation of line given graph of line/two points on line or slope‐point on line 8.6 a) verify/describe relationships among vertical/adjacent/ supplementary/complementary angles; Use algebraic and coordinate methods as well as deductive proofs to verify whether two lines are parallel. Solve problems by using the relationships between pairs of angles formed by the intersection of two parallel lines and a transversal including corresponding angles, alternate interior angles, alternate exterior angles, and same-side (consecutive) interior angles. Solve real-world problems involving intersecting and parallel lines in a plane. Resources/Lessons Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block 1day Trdtl 2 days Standard:G.4 The student will construct and justify the constructions of c) a perpendicular to a given line from a point not on the line; d) a perpendicular to a given line at a given point on the line; g) a line parallel to a given line through a point not on the given line. Essential Understandings Construction techniques are used to real-world problems in engineering, architectural design, and building construction. Construction techniques include using a straightedge and compass, paper folding, and dynamic geometry software. Essential Knowledge/Skills Construct and justify the constructions of a perpendicular to a given line from a point not on the line; Key Vocabulary bisector centroid circumcenter circumscribed compass congruence construction incenter inscribed intersection parallel lines perpendicular bisector perpendicular bisector straightedge
2014-2015_geometry_completed_pacing_guide.docx