Geometry

Geometry – includes properties of two- and three-dimensional objects, points, rays, lines, and angles including congruency, similarities, and transformations

Skills and Concepts

RIT scores between 151 and 160

Shapes and Figures, 2- and 3-dimensional

Identify and name the plane figures: circle, triangle, and square

Congruency and Similarity

	Identify congruent figures (using “same size and shape” terminology)
	Identify figures that are similar, have the same shape

New Vocabulary in this Range: shape, circle, same as

New Signs and Symbols: none

RIT scores between 161 and 170

Shapes and Figures, 2- and 3-dimensional

· Identify and name solid figures: can (cylinder) and cone

	Relate and compare plane figures to solid figures
	Identify sides and corners (vertices) on solid figures
	Contrast open and closed figures
	Identify cylinder (can) attributes

Congruency and Similarity

Identify congruent figures

New Vocabulary in this Range: matches, triangle, square, corners, cone, closed, inside

New Signs and Symbols: none

RIT scores between 171 and 180

Shapes and Figures, 2- and 3-dimensional

Classify and sort solid figures

Congruency and Similarity

Identify congruent figures using terminology

Symmetry and Transformations

Recognize transformations of plane figures (slides, flips, and turns) by identifying the figure that will fit in a certain space

New Vocabulary in this Range: congruent, figure

New Signs and Symbols: none

RIT scores between 181 and 190

Shapes and Figures, 2- and 3-dimensional

	Identify and name the plane figures: circle, triangle, square, and rectangle
	Recognize solid figures: cube (box)
	Identify characteristics of plane figures (sides and corners)

Congruency and Similarity

	Identify congruent figures, angles, and line segments
	Identify similar figures (same shape, may or may not be same size)

Symmetry and Transformations

	Identify figures with line symmetry
	Recognize transformations of plane figures (slides, flips, and turns)
	Identify types of transformations (slides, flips, and turns)

Line Properties and Terminology

	Identify points on a line
	Identify the correct label for a line

New Vocabulary in this Range: symmetry, point, sides, rectangle, cube, straight, line segment, shortest

New Signs and Symbols: line AB (with double arrow over AB), line segment AB (with segment line over AB)

RIT scores between 191 and 200

Shapes and Figures, 2- and 3-dimensional

	Recognize solid figures: sphere (ball)
	Identify and name solid figures: cube, cylinder, cone, rectangular prism, and sphere
	Identify characteristics of plane figures (sides and corners)

Symmetry and Transformations

Identify figures with line symmetry and symmetrical parts

Geometric Properties and Terminology

· Identify position concepts: (over, under, inside, outside, in front, behind, top, middle, bottom)

	Describe and measure right angles
	Identify right angles
	Identify intersecting, parallel lines
	Identify the diagonal of a circle

New Vocabulary in this Range: symmetrical, parallel, intersecting, diagonal, pair, angle, cylinder, outside, inside, sphere, faces, corresponding, point, intersect, outside, axis of symmetry, line segment, pentagon

New Signs and Symbols: symbol for parallel lines

RIT scores between 201 and 210

Shapes and Figures, 2- and 3-dimensional

	Identify faces, edges, and corners (vertices) on solid figures
	Identify polygons: triangle, quadrilateral, pentagon, and octagon
	Identify quadrilaterals: square, rectangle, and parallelogram

· Identify, name, and analyze solid figures: cube, cylinder, triangular pyramid and square pyramid (faces, edges, and vertices)

Symmetry and Transformations

Identify mirror-images

Congruency and Similarity

Identify congruent figures, angles and line segments

Geometric Properties and Terminology

	Identify points, lines, line segments, rays, planes, and angles
	Identify the diameter of a circle
	Identify intersecting, parallel, and perpendicular lines

New Vocabulary in this Range: intersection, quadrilaterals, octagon, parallelogram, pyramid, isosceles, right angle, diameter, right angle, geometric, perpendicular, plane

New Signs and Symbols: D for triangle, angle symbol

RIT scores between 211 and 220

Shapes and Figures, 2- and 3-dimensional

Identify faces, edges, and corners (vertices) on solid figures

· Contrast open and closed figures

· Identify polygons: triangle, quadrilateral, pentagon, hexagon, and octagon

· Identify quadrilaterals: square, rectangle, parallelogram, trapezoid, rhombus

· Analyze solid figures: triangular pyramid and rectangular pyramid (faces, edges, and vertices)

Congruency and Similarity

· Identify similar figures (same shape, may or may not be the same size)

Identify congruent polygons and their corresponding sides and angles

Symmetry and Transformations

Identify types of transformations (rotation)

Geometric Properties and Terminology

Identify points, lines, line segments, rays, and angles

· Identify angles: right, obtuse, and acute

· Identify when two intersecting lines are perpendicular

Identify properties of similar figures

New Vocabulary in this Range: symmetrical, perpendicular, ray, vertex, rotation, triangular prism, corresponding parts, supplementary, acute angle, transformation

New Signs and Symbols: @ - congruent symbol, « - double arrow symbol for similarity, p - pi symbol, DABC - to label triangle

RIT scores between 221 and 230

Shapes and Figures, 2- and 3-dimensional

· Analyze solid figures: rectangular prism, triangular prism, triangular pyramid, square, pyramid (faces, edges and vertices)

Classify polygons by sides and angles

Congruency and Similarity

Identify congruent triangles according to corresponding parts (SSS, SAS, ASA)

Geometric Properties and Terminology

	Identify the center, radius and diameter of a circle
	Measure angles using a protractor
	Classify angles: supplementary and complementary
	Classify angles: adjacent, vertical, corresponding, and supplementary

New Vocabulary in this Range: radius, polygon, circumference, trapezoid, rectangular box, equilateral, similar, obtuse angle, straight angle, slide

New Signs and Symbols: angle symbol, label for line – L₁

RIT scores between 231 and 240

Symmetry and Transformations

· Understand meaning and representation of a dilation

Geometric Properties and Terminology

Classify triangles by sides (equilateral, isosceles, and scalene) and angles (acute, obtuse, and right)

Classify polygons by sides and angles

	Identify and discriminate between regular and irregular polygons
	Find the missing angle measurement in a triangle when two angles are known
	Solve word problems involving similar polygons
	Identify the base angles of a triangle
	Know the definition of the hypotenuse of a triangle

New Vocabulary in this Range: transformation, hypotenuse, edge, isosceles, scalene triangle, similar trapezoids, alternate interior angles, sum of angles in triangle

New Signs and Symbols: none

RIT scores between 241 and 250

Congruency and Similarity

· Construct congruent segments and angles

Symmetry and Transformations

Identify symmetry of a sphere

Geometric Properties and Terminology

	Identify properties of parallel lines
	Construct angle bisectors
	Use the Pythagorean theorem to calculate the measure of one side of a right triangle when the other two sides are known
	Identify angle bisectors
	Solve problems regarding relationships among chords of a circle

New Vocabulary in this Range: symmetrical halves, diameter, radius, angle bisector, tangent, corresponding parts of congruent triangles, Pythagorean theorem, corresponding angles, complementary angles, construction

New Signs and Symbols: sign for parallel lines

RIT scores between 251 and 260

Congruency and Similarity

· Solve problems involving properties of similar triangles

Symmetry and Transformations

· Solve problems involving rotations (turns) and reflections (flips)

Geometric Properties and Terminology

	Identify properties and slope of lines
	Identify plane
	Identify midpoint and endpoint
	Identify perpendicular bisector
	Identify properties of polygons (rhombus, parallelogram)

New Vocabulary in this Range: slope, non-vertical and non-horizontal, midpoint, endpoint, rotational symmetry, reflected, perpendicular bisector, similar triangles, similar trapezoids, similar cylinders, conditional, counterexample, conclusion of in-then statement, interior of angle, exterior angle of regular polygon, interior angle of regular polygon, sum of angles in triangle equals 180 degrees, congruent angles, adjacent angles, vertical angles

New Signs and Symbols: none

RIT scores between 261 and 270

Geometric Properties and Terminology

	Identify the correct definition of a postulate
	Solve problems using two chord power theorem
	Identify and solve problems involving right triangles using the trigonometric functions and the Pythagorean Theorem
	Use of distance formula to determine type of triangle using coordinates
	Solve problems regarding relationships among chords, secants, tangents, inscribed angles, central angle, arc, and inscribed and circumscribed polygons of circles
	Measure and compare angles in degrees
	Solve problems involving the perimeter, circumference, area, volume, and surface area of common geometric figures
	Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids
	Find and use measures of sides and interior and exterior angles to identify figures and solve problems involving polygons
	Know the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections

New Vocabulary in this Range: postulate

New Signs and Symbols: none

RIT scores between 271 and 280

Congruency and Similarity

· Prove that triangles and other polygons are congruent or similar using algebraic, coordinate, and deductive proofs

Geometric Properties and Terminology

	Identify number of diagonals of regular polygons
	Informally prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles

New Vocabulary in this Range: HL

New Signs and Symbols: none

RIT scores between 281 and 290

Symmetry and Transformations

· Solve problems involving volume with rotational transformation

New Vocabulary in this Range: none

New Signs and Symbols: none