## 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

**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

**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

Direction and Distance

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

Coordinate

· Graph ordered pairs in the first quadrant

**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

Coordinate

· Graph ordered pairs in the first quadrant

**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

**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

· Calculate the surface area of a rectangular prism

· Identify angles according to their measure: right, obtuse, and acute

**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

· Measure angles using a protractor

**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

· Find the missing angle measurement in a triangle when two angles are known

· Analyze circles: center, chord, diameter, radius, arc, semicircle, and
circumference

Coordinate

· Graph ordered pairs in all four quadrants ( coordinate geometry )

**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

· Calculate the circumference of a circle using the formula

Coordinate

· Find location of coordinates on a number line

· Locate the vertex on a coordinate grid

**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

· Calculate the surface area of a rectangular prism and cylinder

Coordinate

· Determine endpoints and midpoint of a line on a coordinate graph

**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)

· Relationship of size of angles and corresponding sides of a triangle

Trigonometry

· Find sin and cosine of a given angle

Coordinate

· Derive and solve problems involving use of ordered pairs to determine area of
a figure

· Know the effect of rigid motions on figures in the coordinate plane and space,
including

rotations, translations, and reflections

· Determine the axis of symmetry of a linear graph

**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

· Find the surface area of a polyhedron and cylinder

· Find the diameters when given the area of a circle

Trigonometry

· Use graph to identify trigonometric functions of angles

· Find cosine, sine, and tangent of any given angle

· Use law of cosines

**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

**RIT scores between 281 and 290**

Symmetry and Transformations

· Solve problems involving volume with rotational transformation