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2016-2017 Washington County School District Pacing Guide - Geometry Dates Weeks 1-2 (2 wks) Essential Understandings Unit Topic Standards Basics of Geometry G.CO.1 G.CO.12 G.GPE.6 N.Q.1 Point, line, plane, collinear, coplanar, angle, segment, ray, congruent, vertical, adjacent, linear pair, complementary, supplementary, midpoint, bisector, construction, parallel, perpendicular How can you make a conjecture and prove that it is true? Reasoning and Proof G.CO.9 Prepares for G.CO.10 and G.CO.11 Conditional statement, biconditional, converse, inverse, contrapositive, proof, inductive/deductive reasoning, reflexive property, transitive property How do you prove that two lines are parallel or perpendicular? What is the sum of the measures of the angles of a triangle? How do you write an equation of a line in the coordinate plane? Parallel and Perpendicular Lines & Coordinate Geometry G.CO.1(extends) G.CO 9 (extends) G.MG.3 G.CO.10 G.Co.12 G.Co.13 G.GPE.5 How do you identify corresponding parts of congruent triangles? How do you show that two triangles are congruent? How can you tell whether a triangle is isosceles or equilateral? How do you use coordinate geometry to find relationships within triangles? How do you solve problems that involve measurements of triangles? How do you write indirect proofs? Congruent Triangles G.SRT.5 G.CO.12 G.CO.10 G.CO.13 Reviews A.REI.6 Distance, midpoint, coordinate plane, slope, y-intercept, slopeintercept form, point-slope form, parallel, perpendicular, opposite reciprocal, corresponding, alteranate interior, alternate exterior, same-side interior Triangle anlge sum, isosceles, equilateral, median, polygon, altitude, centroid, point of concurency SSS, SAS, ASA, AAS, HL and CPCTC theorems Weeks 3 - 5 (3 wks) Weeks 6 - 8 (3 wks) Weeks 9 - 12 (4 wks) Weeks 13 16 (4 wks) Page 1 Essential Vocabulary How can you represent a threedimensional figure with a twodimensional drawing? What are the building blocks of geometry? How can you describe the attributes of a segment or angle? Relationships within Triangles (and Coordinate Geometry) G.CO.10 (extends) G.SRT.5 G.CO.9 G.CO.12 G.C.3 Reviews A.CED.1 Midsegment, Perpendicular Angle Bisectors, Median, Altitude 2016-2017 2016-2017 Washington County School District Pacing Guide - Geometry Weeks 1718 (2 wks) Weeks 1922 (4 wks) Weeks 2325 (3 wks) Weeks 2627 (2 wks) Weeks 2830 (3 wks) Page 2 How do you use proportions to find side lengths in similar polygons? How do you show two triangles are similar? How do you identify corresponding parts of similar triangles? How can you find the sum of the measures of polygon angles? How can you classify quadrilaterals? How can you use coordinate geometry to prove general relationships? Similar Triangles G.SRT.5 (Extends) Reviews A.CED.1 G.GPE.5 G.CO.12 G.SRT.4 Ratio, proportion(al), scale factor, similarity ratio, AA, SAS, SSS Similarity theorems, indirect measurement Polygons and Quadrilaterals G.SRT.5 G.CO.11 G.GPE.7 G.CO.12 G.GPE.4 Quadrilateral, parallelogram, rectangle, rhombi, square, kite, trapezoid, diagonal, How can you find a side length or angle measure in a right triangle? How do trigonometric ratios relate to similar right triangles? Right Triangles and Trigonometry G.SRT.4 G.SRT.8 G.SRT.6 G.SRT.7 G.MG.1 G.SRT.10 G.SRT.11 G.CO.2 G.CO.4 G.CO.5 G.CO.6 G.CO.3 G.CO.7 G.CO.8 G.SRT.1 G.SRT.2 G.SRT.3 How can you change a figure’s position without changing its size and shape? How can you change a figure’s size without changing its shape? How can you represent a transformation in the coordinate plane? How do you recognize congruence and similarity in figures? How do you find the area of a polygon or find the circumference and area of a circle? How do perimeters and areas of similar polygons compare? Transformations Area Prepares for G.GMD.3 G.GPE.7 G.MG.1 G.CO.13 G.SRT.9 G.CO.1 G.C.1 G.C.2 G.C.5 G.GMD.1 Right triangle, hypotenuse, leg, Pythagorean theorem, Pythagorean triple, sine, cosine, tangent, inverse, angle of elevation/depression Transformation, reflection, rotation, dialation, translation, symmetry Area, perimeter, probability, height, base, circle, circumference, radius, diameter, arc, sector 2016-2017 2016-2017 Washington County School District Pacing Guide - Geometry G.GPE.7 extended Prepares for S.CP.1 Weeks 3134 (4 wks) Weeks 3536 (additional unit for PreAP Geometry) How can you determine the intersection of a solid and a plane? How do you find the surface area and volume of a solid? How do the surface areas and volumes of similar solids compare? How can you prove relationships between angles and arcs in a circle? When lines intersect a circle or within a circle, how do you find the measures of resulting angles, arcs, and segnements? How do you find the equation of a circle in the coordinate plane? What is the difference between experimental probability and theoretical probability? What is a frequency table? What dows it mean for an event to be random? Surface Area and Volume Circles Probability G.GMD.4 (+extension) G.MG.1 Reviews A.CED.4 G.GMD.1 G.GMD.2 G.GMD.3 G.MG.1 G.MG.2 Prisms, pyramids, cones, cylinders, spheres, cube, lateral area, surface area, volume G.C.2 (+extension) G.C.3 G.C.4 G.GPE.1 G.GPE.2 G.GMD.4 Circles, radii, diameter, Chords, secants, tangents, arcs, inscribed, circumscribed, standard form S.CP.1 S.CP.2 S.CP.3 S.CP.4 S.CP.5 S.CP.6 S.CP.7 S.CP.8 S.CP.9 S.MD.6 S.MD.7 Combinatoin, conditional, dependent, experimental, independent Mutually exclusive, permutation, sample space, theoretical probability End of Year Wrap-up, Review & Finals Page 3 2016-2017