Carnegie Learning Product: Geometry Florida Edition Next Generation Sunshine State Standards - Geometry BENCHMARK CODE BENCHMARK LOCATION IN TEXT LOCATION IN SOFTWARE Benchmark MA.912.D.6.2 Find the converse, inverse, and contrapositive of a statement. Chapter 4: Lesson 1,3 -- Bencmark MA.912.D.6.3 Determine whether two propositions are logically equivalent. Chapter 4: Lesson 3 - - Chapter 4: Lesson 4 Use methods of direct and indirect proff and determine whether Chapter 6: Lesson 2,3 Benchmark MA.912.D.6.4 -- a short proof is logically valid. Chapter 8; Lesson 3-5 Chapter 9: Lesson 3-5 Chapter 5: Lesson 5,6 Find the lengths and midpoints of line segments in two- Chapter 6: Lesson 6 Unit 18 Benchmark MA.912.G.1.1 dimensional coordinate systems. Chapter 10: Lesson 7 Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and Chapter 3: Lesson 5 Benchmark MA.912.G.1.2 -- compass or a drwing program, explaining and justifying the Chapter 6: Lesson 3-5, 7 process used. Identify and use the relationships between special pairs of Benchmark MA.912.G.1.3 Chapter 6: Lesson 1,2 Unit 19 angles formed by parallel lines and transversals. Identify and describe convex, concave, regular, and irregular Chapter 1: Lesson 5 Benchmark MA.912.G.2.1 Unit 22 polygons. Chapter 10: Lesson 5 Determine the measures of interior and exterior angles of Chapter 3: Lesson 3 Benchmark MA.912.G.2.2 Unit 13,15,23,24,25 polygons, ...
Carnegie Learning Product: Geometry Florida Edition Next Generation Sunshine State Standards Geometry
BENCHMARK CODE Benchmark MA.912.D.6.2
Bencmark MA.912.D.6.3
Benchmark MA.912.D.6.4
Benchmark MA.912.G.1.1
Benchmark MA.912.G.1.2
Benchmark MA.912.G.1.3
Benchmark MA.912.G.2.1
Benchmark MA.912.G.2.2
Benchmark MA.912.G.2.3
Benchmark MA.912.G.2.4
Benchmark MA.912.G.2.5
Benchmark MA.912.G.2.7
BENCHMARK Find the converse, inverse, and contrapositive of a statement.
LOCATION IN TEXT Chapter 4: Lesson 1,3
Determine whether two propositions are logically equivalent.Chapter 4: Lesson 3 Chapter 4: Lesson 4 Use methods of direct and indirect proff and determine whetherChapter 6: Lesson 2,3 a short proof is logically valid.Chapter 8; Lesson 35 Chapter 9: Lesson 35 Chapter 5: Lesson 5,6 Find the lengths and midpoints of line segments in two Chapter 6: Lesson 6 dimensional coordinate systems. Chapter 10: Lesson 7 Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge andChapter 3: Lesson 5 compass or a drwing program, explaining and justifying theChapter 6: Lesson 35, 7 process used.
Identify and use the relationships between special pairs of angles formed by parallel lines and transversals.
Chapter 6: Lesson 1,2
Identify and describe convex, concave, regular, and irregularChapter 1: Lesson 5 polygons. Chapter10: Lesson 5 Determine the measures of interior and exterior angles ofChapter 3: Lesson 3 polygons, justifying the method used.Chapter 10: Lesson 56 Use properties of congruent and similar polygons to solveChapter 8: Lesson 2,4 mathematical or realworld problems.Chapter 9: Lesson 15 Apply transformations (translations, reflections, rotations, dilations, and scale factors) to polygons to determine congruence, similarity, and symmetry. Know that imagesChapter 7: Lesson 15 formed by translations, relfections, and rotations are congruentChapter 8: Lesson 2 to the originial shape. Create and verify tessellations of the plane using polygons. Explain the derivation and apply formulas for perimeter and Chapter 1: Lesson 17 area of polygons (triangles, quadrilaterals, pentagons, etc.) Determine how changes in dimensions affect the perimeter and Chapter 8: Lesson 7 area of common geometric figures.
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LOCATION IN SOFTWARE
Unit 18
Unit 19
Unit 22
Unit 13,15,23,24,25
Unit 21
Unit 20
Unit 14,6,7
Carnegie Learning Product: Geometry Florida Edition Next Generation Sunshine State Standards Geometry
BENCHMARK CODEBENCHMARK LOCATIONIN TEXT Describe, classify, and compare relationships among Benchmark MA.912.G.3.1quadrilaterals including the square, rectangle, rhombus,Chapter 10: Lesson 14 parallelogram, trapezoid, and kite. Compare and contrast special quadrilaterals on the basis of Benchmark MA.912.G.3.2Chapter 10: Lesson 14 their properties. Use coordinate geometry to prove properties of congruent, Benchmark MA.912.G.3.3Chapter 10: Lesson 7 regular, and similar quadrilaterals. Benchmark MA.912.G.3.4Chapter 10: Lesson 24Prove therems involving quadrilaterals. Classify, construct, and describe triangles that are right, acute,Chapter 3: Lesson 4 Benchmark MA.912.G.4.1 obtuse, scalene, isosceles, equilateral, and equiangular.Chapter 5: Lesson 5 Define, identify, and construct altitudes, medians, angleChapter 5: Lesson 5 Benchmark MA.912.G.4.2bisectors, perpendicular bisectors, orthocenter, centroid,Chapter 6: Lesson 7,8 incenter, and circumcenter.Chapter 8: Lesson 4 Benchmark MA.912.G.4.3Construct triangles congruent to given triangles.Chapter 3: Lesson 5 Use properties of congruent and similar triangles to solveChapter 8: Lesson 3,5,7 Benchmark MA.912.G.4.4 problems involving lengths and areas.Chapter 9: Lesson 35 Chapter 6: Lesson 6 Benchmark MA.912.G.4.5Apply theorems involving segments divided proportionally. Chapter 8: Lesson 2 Prove that triangles are congruent or similar and use the Benchamark MA.912.G.4.6Chapter 8: Lesson 2,3,5 concept of corresponding parts of congruent triangles. Apply the inequality theorems: triangle inequality, inequality in Benchmark MA.912.G.4.7Chapter 3: Lesson 6 one triangle, and the Hinge Theorem. Use coordinate geometry to prove properties of congruent,Chapter 7: Lesson 4 Benchmark MA.912.G.4.8 regular, and similar triangles.Chapter 9: Lesson 4 Benchmark MA.912.G.5.1Prove and apply the Pythagorean Theorem and its converse.Chapter 5: Lesson 2 State and apply the relationships that exist when the altitude is Benchmark MA.912.G.5.2Chapter 8: Lesson 4 drawn to the hyptenuse of a right triangle. Use special right triangles (30°60°90° and 45°45°90°) to Benchmark MA.912.G.5.3Chapter 5: Lesson 3,4 solve problems. Chapter 5: Lesson 24 Benchmark MA.912.G.5.4Solve realworld problems involving right triangles. Chapter 8: Lesson 5 Define and identify: circumference, radius, diameter, arc, arc Benchmark MA.912.G.6.2Chapter 11: Lesson 16 len th,chord, secant, tanent and concentric circles.
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LOCATION IN SOFTWARE Unit 22
Unit 14
Unit 21
Unit 16 Unit 17
Unit 1617
Carnegie Learning Product: Geometry Florida Edition Next Generation Sunshine State Standards Geometry
BENCHMARK CODE
Benchmark MA.912.G.6.4
Benchmark MA.912.G.6.5
Benchmark MA.912.G.6.6
Benchmark MA.912.G.6.7
Benchmark MA.912.G.7.1
Benchmark MA.912.G.7.2
BENCHMARK LOCATIONIN TEXT Determine and use measures of arcs and related anglesChapter 11: Lesson 13 (central, inscribed, and intersections of secants and tangents).Chapter 13: Lesson 1 Solve realworld problems using measures of circumference,Chapter 1: Lesson 6 arc length, and areas of circles and sectors.Chapter 11: Lesson 67 Given the center and the radius, find the equation of a circle in the coordinate plane or given the equation of a circle in centerChapter 11: Lesson 8 radius form, state the center and the radius of the circle. Given the equation of a circle in centerradius form or given the Chapter 11: Lesson 8 center and the radius of a circle, sketch the graph of the circle.
Describe and make regular, nonregular, and oblique polyhedra and sketch the net for a given polyhedron and vice versa.
Describe the relationships between the faces, edges, and vertices of polyhedra.