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Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 5N7 Algebra properties 8N4 **Altitudes 10G1 10G3 **Angle bisectors 10G1 10G3 Angle congruence 10G1 10G3 Angle measures in triangles 7G3 10G1 10G1 8G2 Angle postulates **Angles formed by intersecting lines and transversals 10G1 10G3 **Angles formed by lines that intersect a circle Adopted From Prentice Hall Courses 10G1 Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Use commutative, associative, distributive, identity and inverse properties to simplify and perform computations. Explain and use the inverse and identity properties and use inverse relationships (addition/subtraction, multiplication/division, squaring/square roots) in problem solving situations. Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Use and demonstrate understanding of the properties of triangles. Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal. Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Trumbull County Educational Service Center 1 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 10P3 **Angles formed by tangents and chords Arcs of circles **Arcs, chords, secants, and tangents 10G1 10G1 10G1 10M5 **Area and sectors of a circle **Area of a regular polygon **Area of a triangle 10G1 10G1 7M7 **Area of an equilateral triangle 10G1 10G1 7M7 *Areas of common plane figures 5M6 **Areas of quadrilaterals - squares, rectangles, parallelograms 10G1 7M7 **Areas of trapezoids, kites, and rhombii 10G1 7M6 Biconditional statements 10G1 10G3 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Determine the measures of central and inscribed angles and their associated major and minor arcs. Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Develop strategies to find the area of composite shapes using the areas of triangles, parallelograms, circles and sectors. Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Develop strategies to find the area of composite shapes using the areas of triangles, parallelograms, circles and sectors. Use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms, and volume of rectangular prisms Formally define and explain key aspects of geometric figures Develop strategies to find the area of composite shapes using the areas of triangles, parallelograms, circles and sectors. Formally define and explain key aspects of geometric figures Use strategies to develop formulas for finding area of trapezoids and volume of cylinders and prisms. Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Trumbull County Educational Service Center 2 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 **Bisect segments and angles Centroid **Chord of circles (length) Circles - Identify segments and lines related to circles Circumcenter **Circumference of a circle 10G1 10G1 10G1 10G1 10G1 5G1 Classify angles 10G1 6G2 Classify triangles 6G2 6G3 **Complementary and supplementary angles Conditional statement 10G1 10G3 Congruent figures and corresponding parts Congruent segments 10G1 5G4 7G4 10G3 Construct reflections and rotations 10G7 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Draw circles, and identify and determine relationships among the radius, diameter, center and circumference. Formally define and explain key aspects of geometric figures Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate. Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate. Use multiple classification criteria to classify triangles; e.g., right scalene triangle. Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Describe and use properties of congruent figures to solve problems. Determine necessary conditions for congruence of triangles Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Perform reflections and rotations using compass and straightedge constructions and dynamic geometry software. Trumbull County Educational Service Center 3 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 Constructions - basic 10G5 Constructions - congruent segments, angles, and triangles 10G5 Constructions - parallel lines and perpendicular lines 10G4 Constructions - triangles 10G4 Coordinate geometry 9G3 8G4 Coordinate plane 10P4 Coordinate proofs 10G3 Dilations 10G8 **Distance Formula 10P4 Drawing 3D figures **Equation of a circle 10G1 10P4 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Construct congruent figures and similar figures using tools, such as compass, straightedge, and protractor or dynamic geometry software. Construct congruent figures and similar figures using tools, such as compass, straightedge, and protractor or dynamic geometry software. Construct right triangles, equilateral triangles, parallelograms, trapezoids, rectangles, rhombuses, squares and kites, using compass and straightedge or dynamic geometry software. Construct right triangles, equilateral triangles, parallelograms, trapezoids, rectangles, rhombuses, squares and kites, using compass and straightedge or dynamic geometry software. Analyze two-dimensional figures in a coordinate plane; e.g., use slope and distance formulas to show that a quadrilateral is a parallelogram. Represent and analyze shapes using coordinate geometry; e.g., given three vertices and the type of quadrilateral, find the coordinates of the fourth vertex. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Formally define and explain key aspects of geometric figures Use algebraic representations and functions to describe and generalize geometric properties and relationships. Trumbull County Educational Service Center 4 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 **Equations of parallel lines 10P4 **Equations of perpendicular lines 10P4 **Geometric mean 7G5 Geometric probability 10D7 Glide reflections 10G6 10G7 10G8 Graph of a circle 10P8 10P10 Indirect proof 10G3 Inductive reasoning 10G3 **Inscribed angles 10G1 10M5 **Inscribed polygons 10M5 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Apply properties of congruent or similar triangles to solve problems involving missing lengths and angle measures. Model problems dealing with uncertainty with area models (geometric probability) Identify the reflection and rotation symmetries of two- and three-dimensional figures. Perform reflections and rotations using compass and straightedge constructions and dynamic geometry software. Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. Graph the quadratic relationship that defines circles. Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Determine the measures of central and inscribed angles and their associated major and minor arcs. Determine the measures of central and inscribed angles and their associated major and minor arcs Trumbull County Educational Service Center 5 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 **Interior and exterior angles of polygons 8M8 Intersecting lines 8G2 10G3 Intersections of lines and planes 6G4 Kites 6G1 Locus of points 10G3 Logic (Inverse, Converse, etc.) 10G3 **Medians 10G1 10G3 **Midsegments 10G1 10G3 Nets 10P3 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Find the sum of the interior and exterior angles of regular convex polygons with and without measuring the angles with a protractor. Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Identify and define relationships between planes; i.e., parallel, perpendicular and intersecting Classify and describe two-dimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height. Trumbull County Educational Service Center 6 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 Orthocenter Parallel lines (proof of) 8G6 10G1 10G3 Parallel lines (properties) 10G1 10G3 Parallel lines and transversals 10G3 Parallelograms (properties) Patterns Perimeters of common plane figures 10G1 10G1 7P2 10P4 5M6 Perpendicular bisectors 10G1 10G3 Perpendicular lines (proofs) 10G3 Polygons 10G1 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Draw nets for a variety of prisms, pyramids, cylinders and cones. Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Formally define and explain key aspects of geometric figures Generalize patterns by describing in words how to find the next term. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms, and volume of rectangular prisms. Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Formally define and explain key aspects of geometric figures Trumbull County Educational Service Center 7 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 Polygons (sum of interior angles) 8M8 Polyhedra 8G1 Proportionality theorems 10P4 **Proportions (properties of) 6N14 Pythagorean Theorem (proof of) 10G3 **Pythagorean Theorem (use converse of) 10G3 **Pythagorean Theorem (use of) 7G3 10N1 Quadrilaterals 10G3 Quadrilaterals (special) 7G2 10G3 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Find the sum of the interior and exterior angles of regular convex polygons with and without measuring the angles with a protractor. Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Use and demonstrate understanding of the properties of triangles. Connect physical, verbal and symbolic representations of irrational numbers; e.g., construct square root of 2 as a hypotenuse or on a number line Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Determine sufficient (not necessarily minimal) properties that define a specific two-dimensional figure or three-dimensional object. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Trumbull County Educational Service Center 8 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 **Ratios (simplify) 6N14 Reflections 10G6 8G5 Reflections and line symmetry 10G8 Rhombii, rectangles, and squares 10G1 10G3 Right triangle (solve) 9M4 9G2 Rotations 10G6 10G7 8G5 Scale factors Adopted From Prentice Hall Courses 7M4 Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions. Identify the reflection and rotation symmetries of two- and three-dimensional figures. Draw the results of translations, reflections, rotations and dilations of objects in the coordinate plane, and determine properties that remain fixed; e.g., lengths of sides remain the same under translations. Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. Formally define and explain key aspects of geometric figures Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Use scale drawings and right triangle trigonometry to solve problems that include unknown distances and angle measures. Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures. Identify the reflection and rotation symmetries of two- and three-dimensional figures. Perform reflections and rotations using compass and straightedge constructions and dynamic geometry software. Draw the results of translations, reflections, rotations and dilations of objects in the coordinate plane, and determine properties that remain fixed; e.g., lengths of sides remain the same under translations. Solve problems involving proportional relationships and scale factors; e.g., scale models that require unit conversions within the same measurement system. Trumbull County Educational Service Center 9 Geometry Topic Alignment Geometry Topics Code Indicator Segment and angles relationships 10G3 Segment postulates 10P4 Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Determine and use scale factors for similar figures to solve problems using proportional reasoning. Use the ratio of lengths in similar two-dimensional figures or threedimensional objects to calculate the ratio of their areas or volumes respectively. Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Use algebraic representations and functions to describe and generalize 10G1 Formally define and explain key aspects of geometric figures Similar figures (compare areas) 7G6 Similar figures (compare perimeters) 7G6 Similar polygons 10G1 10P4 Determine and use scale factors for similar figures to solve problems using proportional reasoning Determine and use scale factors for similar figures to solve problems using proportional reasoning. Formally define and explain key aspects of geometric figures Use algebraic representations and functions to describe and generalize geometric properties and relationships. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Apply properties of congruent or similar triangles to solve problems involving missing lengths and angle measures. Apply properties of congruent or similar triangles to solve problems involving missing lengths and angle measures. Formally define and explain key aspects of geometric figures ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 7G6 Scale factors of similar solids 9M3 10P10 10P4 7G5 Similar triangles 7G5 10G1 Adopted From Prentice Hall Courses Trumbull County Educational Service Center 10 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 10P4 10G3 **Slopes 10P9 Special right triangles (30-60-90, 45-45, 90) 10G3 10N1 **Surface area of prisms and cylinders 8M4 8M10 *Surface area of pyramids and cones 8M5 8M10 10P5 **Surface area of spheres Adopted From Prentice Hall Courses 8M10 Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Connect physical, verbal and symbolic representations of irrational numbers; e.g., construct square root of 2 as a hypotenuse or on a number line Derive formulas for surface area and volume and justify them using geometric models and common materials Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision. Determine surface area for pyramids by analyzing their parts. Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision. Trumbull County Educational Service Center 11 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 Symmetry 10G6 **Tangents and secants segment lengths 10P4 Tessellations 10G8 Transformations (3 basic rigid) 8G5 10G6 Transformations as compositions 10G9 Translations 10G8 Trapezoids (properties) 6G1 Triangle congruence - SSS, SAS, ASA, AAS, etc. 10G3 **Triangle congruence in real - life problems 7G4 10P10 **Triangle Inequality 10P4 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Identify the reflection and rotation symmetries of two- and three-dimensional figures. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. Draw the results of translations, reflections, rotations and dilations of objects in the coordinate plane, and determine properties that remain fixed; e.g., lengths of sides remain the same under translations. Identify the reflection and rotation symmetries of two- and three-dimensional figures. Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals. Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. Classify and describe two-dimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Determine necessary conditions for congruence of triangles. Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions. Use algebraic representations and functions to describe and generalize geometric properties and relationships. Trumbull County Educational Service Center 12 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 Triangles - Isosceles and equilateral (properties) 10G3 Triangles - Right (properties) 10P4 **Trigonometry (Law of Cosines) 11G4 **Trigonometry (Law of Sines) 11G4 **Trigonemtric Ratios (sine, cosine, and tangent) 9G1 9G2 10P2 Describe and compare characteristics of the following families of functions: square root, cubic, absolute value and basic trigonometric functions; e.g., general shape, possible number of roots, domain and range. 9M4 Use scale drawings and right triangle trigonometry to solve problems that include unknown distances and angle measures. Use vector addition and scalar multiplication to solve problems. Model, using the coordinate plane, vector addition and scalar multiplication. Vectors (magnitude and direction) Vectors 11N9 11N5 **Vertical angles and linear pairs 8G2 **Volume of prisms and cylinders 8M10 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof Use algebraic representations and functions to describe and generalize geometric properties and relationships. Use trigonometric relationships to determine lengths and angle measures; i.e., Law of Sines and Law of Cosines. Use trigonometric relationships to determine lengths and angle measures; i.e., Law of Sines and Law of Cosines. Define the basic trigonometric ratios in right triangles: sine, cosine and tangent. Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures. Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal. Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision. Trumbull County Educational Service Center 13 Geometry Topic Alignment Geometry Topics Code ** Indicates that the topic includes the following codes and 10P3 content standards 10P4 10P5 10P6 **Volume of pyramids and cones 8M10 **Volume of spheres 8M10 Adopted From Prentice Hall Courses Indicator Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height Use algebraic representations and functions to describe and generalize geometric properties and relationships. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions. Solve equations and inequalities having rational expressions as coefficients and solutions. Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision. Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision. Trumbull County Educational Service Center 14