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Geometry (H) Pacing Guide
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Two-week summary of major instructional content and skills • 36 instructional weeks
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Week(s)Unit / TextMajor ContentMajor Skills and Assessments
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Weeks 1–2Unit 0: Geometry PrerequisitesSolving Multi-Step Equations; Solving Rational Equations; Solving Equations by Factoring (5 days)Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers); Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms; Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b
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Weeks 3–4Unit 0: Geometry Prerequisites / Unit 1: Foundations of GeometrySimplifying Radicals; Algebra Review/Summer Work Quiz; Label Points Lines and Planes (5 days)Simplify numerical radicals, limiting to square roots (i.e. nonperfect squares). For example, simplify v8 to 2v2 ; Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc; Assessments/Review: Algebra Review/Summer Work Quiz
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Weeks 5–6Unit 1: Foundations of GeometryLinear Measure; Intro to Geometry Quiz (4 days)Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc; Assessments/Review: Intro to Geometry Quiz
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Weeks 7–8Unit 1: Foundations of GeometryDistance Formula and Applications; Midpoint and Endpoint of a Line Segment (5 days)Apply the Pythagorean Theorem to find the distance between two points in a coordinate system; Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints
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Weeks 9–10Unit 1: Foundations of GeometryPartition a Line Segment; Coordinate Geometry Quiz; Foundations of Geometry Review/Test (6 days)Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints; Assessments/Review: Coordinate Geometry Quiz; Foundations of Geometry Review/Test
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Weeks 11–12Unit 4: Proportions and Similar PolygonsRatios and Proportions Review; Similar Polygons; Similar Triangles (6 days)How can the ratio of a scale factor be used to prove similar polygons and find a line segment is bigger or smaller; Prove Similar Triangles and use proportions to solve for the sides; Assessments/Review: Ratios and Proportions Review
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Weeks 13–14Unit 4: Proportions and Similar PolygonsMidterm Review; Midterm Exams (5 days)Prepare for the midterm exam; Assessments/Review: Midterm Review
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Weeks 15–16Unit 4: Proportions and Similar PolygonsParallel Lines and Portional Parts in Triangles; Proportions in Triangles (5 days)Prove parallel sides of triangles using the proportional lengths of the other two sides of the triangles; How can the ratio of a scale factor be used to find the perimeter/area of similar triangles
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Weeks 17–18Unit 5: Solving TrianglesSimilarity in Right Triangles (4 days)How can Geometric Mean be used to solve right triangles
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Weeks 19–20Unit 5: Solving TrianglesPythagorean Theorem; Special Right Triangles (6 days)Use Pythagorean Thm to solve right triangles and identify Pythagorean Triples; What a the properties of a 45-45-90 and 30-60-90 triangle
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Weeks 21–22Unit 5: Solving TrianglesTrigonometric Ratios (6 days)How can Trig Ratios be used to solve right triangles
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Weeks 23–24Unit 5: Solving TrianglesTrigonometric Applications; Trigonometric Assessment (5 days)Assessments/Review: Trigonometric Assessment
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Weeks 25–26Unit 5: Solving TrianglesLaw of Sines; Law of Cosines (6 days)Given a ratio of the side of a triangle and the angle opposite, how can Law of Sines be used to solve oblique triangles; How can Law of Cosines be used to solve oblique triangles
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Weeks 27–28Unit 5: Solving TrianglesSolving Oblique Triangles; Oblique Triangle Assessment (5 days)How can Law of Sines and Cosines be used to solve for the missing parts of an oblique triangle; Assessments/Review: Oblique Triangle Assessment
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Weeks 29–30Unit 6: CirclesArcs and Sectors of Circles; Lines Tangent to a Circle (6 days)How are arc lengths and sector area found; Identify lines that are tangent to a circle using angle measures and segment lengths
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Weeks 31–32Unit 6: CirclesChords of a Circle; Inscribed Angles (8 days)Prove and apply relationships between chords, arcs, and central angles; Identify and apply relationships between the measures of inscribed angles, arcs, and central angles
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Weeks 33–34Unit 6: CirclesSecant Lines and Segments (5 days)Recognize and apply angle relationships formed by secant and tagents intersecting inside and outside a circle
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Weeks 35–36Unit 6: CirclesEquations of Circles; Circle Assessment (7 days)Identify the equation of a Circle, and graph the equation of a Circle; Assessments/Review: Circle Assessment
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