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The School District of Palm Beach County INFORMAL GEOMETRY 3rd Quarter Scope 2010 - 2011 Benchmarks Next Generation Sunshine State Standards Identify and describe convex, concave, regular, and MA.912.G.2.1 irregular polygons. 10.1 Determine the measures of interior and exterior MA.912.G.2.2 angles of polygons, justifying the method used. 10.2 Use properties of congruent and similar polygons to MA.912.G.2.3 solve mathematical or real-world problems. 9.1-9.7 Explain the derivation and apply formulas for perimeter and area of polygons (triangles, MA.912.G.2.5 quadrilaterals, pentagons, etc.). 10.3-10.5 Describe, classify, and compare relationships among quadrilaterals including the square, rectangle, MA.912.G.3.1 rhombus, parallelogram, trapezoid, and kite. 8.1-8.5 Compare and contrast special quadrilaterals on the MA.912.G.3.2 basis of their properties. 8.1-8.5 Use properties of congruent and similar triangles to MA.912.G.4.4 solve problems involving lengths and areas. 9.3-9.7 Topic & Suggested Pacing January 4 - March 11 Student Target Core I can… Geometry Concepts and Applications (Glencoe) • Identify parts of quadrilaterals and find the sum of the measures of the interior angles of a quadrilateral • Identify and use the properties of parallelograms Parallelograms • Identify and use tests to show that a quadrilateral is a parallelogram Tests for Parallelograms • Identify and use the properties of rectangles, rhombi, and squares Rectangles, • Identify and use the properties of trapezoids and isosceles Rhombi, and trapezoids Squares • Use ratios and proportions to solve problems Trapezoids • Identify similar polygons • Use AA, SSS, and SAS similarity tests for triangles Using Ratios and • Identify and use the relationships between proportional Proportions parts of triangles Similar Polygons • Use proportions to determine whether lines are parallel to sides of triangles Similar Triangles • Identify and use the relationships between parallel lines and proportional parts Proportional Parts • Identify and use proportional relationships of similar and Triangles triangles Triangles and • Name polygons according to the number of sides and angles Parallel Lines • Find measures of interior and exterior angles of polygons • Estimate the areas of polygons Proportional Parts and Parallel Lines • Find the areas of triangles and trapezoids • Find the areas of regular polygons Perimeters and • Identify and use parts of circles Similarity • Identify major arcs, minor arcs, and semicircles and find the measures of arcs and central angles Naming Polygons • Identify and use the relationships among arcs, chords, and diameters Diagonals and Quadrilaterals 8.1 8.2 8.3 8.4 8.5 9.1 9.2 9.3 9.4 9.5 9.6 9.7 10.1 10.2 10.3 10.4 10.5 11.1 11.2 11.3 11.4 11.5 11.6 Tutorial Support AYP Support The Properties of FCAT 1 a Resource Page Parallelogram Theorems Dealing with Parallelogram s Chapter 8 Resources Chapter 9 Resources Chapter 10 Resources The Types and Properties of Quadrilaterals Ratio and Proportion Video Similar Shapes Video Chapter 11 Resources Apply theorems involving segments divided MA.912.G.4.5 proportionally. 9.4-9.6 Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent MA.912.G.4.6 triangles. 9.3 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric MA.912.G.6.2 circles. 11.1-11.5 Determine and use measures of arcs and related angles (central, inscribed, and intersections of secants MA.912.G.6.4 and tangents). 11.1-11.4 Solve real-world problems using measures of circumference, arc length, and areas of circles and MA.912.G.6.5 sectors. 11.5-11.6 diameters • Inscribe regular polygons in circles and explore the relationship between the length of a chord and its distance Areas of Polygons from the center of the circle Areas of Triangles • Solve problems involving circumferences of circles and Trapezoids • Solve problems involving areas and sectors or circles Diagonals and Angle Measure Areas of Regular Polygons Similar Triangles Video (Part 1) Similar Triangles Video (Part 2) Parts of a Circle Arcs and Central Angles Arcs and Chords Inscribed Polygons Triangle Proofs (ASA, SAS, AAS, SSS, or HL) Circumference of a Circle Area of a Circle Parallel Lines and Similar and Congruent Triangles Area and Perimeter of Rectangles and Triangles Video Perimeters and Areas of Similar Figures Video Area of Regular Polygons Video Area of Trapezoids Video Symmetry What is a Tessallation? Circles Arcs and Chords Video Inscribed Angle Video Area of a Circle Video Area of Circles in the Coordinate Plane Secondary Data-Driven Benchmark Comprehension Check