Download Geometry Topic alignment - Trumbull County Educational Service

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