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The School District of Palm Beach County INFORMAL GEOMETRY 2nd Quarter Scope 2010 - 2011 Benchmarks Topic & Suggested Pacing Next Generation Sunshine State Standards October 18 December 17 Find the lengths and midpoints of line segments in twoMA.912.G.1.1 dimensional coordinate systems. 6.7 Proving Lines Parallel Slope Classify, construct, and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and MA.912.G.4.1 equiangular. 5.1-5.2, 6.4 Define, identify, and construct altitudes, medians, angle bisectors, perpendicular bisectors,orthocenter, MA.912.G.4.2 centroid, incenter, and circumcenter. 6.1-6.3 Construct triangles congruent to given triangles. MA.912.G.4.3 5.4-5.6 Writing Equations of Lines Classifying Triangles Angles of a Triangle Geometry in Motion Congruent Triangles SSS and SAS ASA and AAS Medians Use properties of congruent and similar triangles to MA.912.G.4.4 solve problems involving lengths and areas. 5.4-5.6 Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent MA.912.G.4.6 triangles. 5.4-5.6 Altitudes and Perpendicular Bisectors Angle Bisectors of Triangles Isosceles Triangles Right Triangles Student Target I can… • Identify conditions that produce parallel lines and construct parallel lines • Find the slopes of lines and use slope to identify parallel and perpendicular lines • Write and graph equations of lines • Identify the parts of triangles and classify triangles by their parts • Use the Angle Sum Theorem • Identify translations, reflections, and rotations and their corresponding parts • Identify corresponding parts of congruent triangles • Use the SSS and SAS tests for congruence • Use the ASA and AAS tests for congruence • Identify and construct medians in triangles • Identify and construct altitudes and perpendicular bisectors in triangles • Identify and use angle bisectors in triangles • Identify and use properties of isosceles triangles • Use tests for congruence of right triangles • Use the Pythagorean Theorem and its converse • Find the distance between two points on the coordinate plane • Apply inequalities to segment and angle measures • Identify exterior angles and remote interior angles of a triangle and use the Exterior Angle Theorem • Identify the relationships between the sides and angles of a triangle • Identify and use the Triangle Inequality Theorem Core Tutorial Support AYP Support Geometry Concepts and Applications Equations of (Glencoe) 4.4 4.5 4.6 5.1 5.2 5.3 5.4 5.5 5.6 6.1 6.2 6.3 6.4 6.5 6.6 6.7 7.1 7.2 7.3 7.4 Parallel and FCAT 1 Perpendicular Resource Page Lines Slopes of Parallel and Perpendicular Lines Chapter 4 Resources Equation of a Line Video Chapter 5 Resources Isosceles and Equilateral Triangles Video Chapter 6 Resources Using Isoceles and Equilateral Triangles Video Chapter 7 Resources Congruent and Similar Triangle Video Apply the inequality theorems: triangle inequality, MA.912.G.4.7 inequality in one triangle, and the Hinge Theorem. The Pythagorean Theorem 7.1-7.4 Prove and apply the Pythagorean Theorem and its MA.912.G.5.1 converse. 6.6 MA.912.G.5.4 Solve real-world problems involving right triangles. 6.5 Distance on the Coordinate Plane Triangle Proofs (ASA, SAS, AAS, SSS, or HL) Segments, Angles, and Inequalities Exterior Angle Theorem Medians and Altitudes Video Lesson Inequalities Within a Triangle Make conjectures with justifications about geometric ideas. Distinguish between information that supports a Triangle Inequality MA.912.G.8.4 Theorem conjecture and the proof of a conjecture. 4.4-4.6 Perpendicular and Angle Bisectors Video Angle Bisector Bisector in Triangles Pythagorean Theorem Video Intro to Pythagorean Theorem Video Distance Formula Video Angle Sum Theorem Triangle Inequality Theorem and Inequalities for Two Triangles Triangle Inequalities Secondary Data-Driven Benchmark Comprehension Check