3.1.1: Identification and Classification of 2-D Shapes
3.1.1.1: [RIT 148 - 180] Identifies and names triangles, squares, rectangles, and circles
Circumference and Area of Circles
Classifying Quadrilaterals
Classifying Triangles
3.1.1.3: [RIT 156 - 190] Identifies the number of sides or corners of 2-D shapes, given pictures
3.1.1.4: [RIT 160 - 181] Knows definitions of a triangle, a square, a rectangle, and a circle
Circumference and Area of Circles
Classifying Quadrilaterals
Classifying Triangles
3.1.1.6: [RIT 171 - 180] Sorts shapes based on shared attributes
Classifying Quadrilaterals
Classifying Triangles
3.1.1.7: [RIT 176 - 219] Identifies a polygon
3.1.1.9: [RIT 197 - 222] Identifies and names nonbasic shapes, such as trapezoids, hexagons, etc.
Classifying Quadrilaterals
Classifying Triangles
Polygon Angle Sum
3.1.1.10: [RIT 201 - 235] Identifies and names special triangles, such as acute, right, scalene, etc., given picturesÂ
3.1.1.11: [RIT 201 - 224] Identifies properties of a 2-D shape, such as right angles, parallel sides, etc., given pictures
Classifying Quadrilaterals
Classifying Triangles
3.1.1.12: [RIT 203 - 221] Understands the relationships among categories of shapes
Classifying Quadrilaterals
Classifying Triangles
3.1.1.13: [RIT 204 - 236] Knows definitions of special triangles, such as acute, right, scalene, etc.
3.1.1.14: [RIT 206 - 224] Classifies 2-D shapes by properties, given pictures
Classifying Quadrilaterals
Classifying Triangles
Special Parallelograms
3.1.1.15: [RIT 207 - 207] Knows definitions of nonbasic shapes, such as trapezoids, hexagons, etc.
Classifying Quadrilaterals
Classifying Triangles
Polygon Angle Sum
3.1.1.16: [RIT 212 - 214] Identifies properties of a 2-D shape, such as right angles, parallel sides, etc., without pictures given
Classifying Quadrilaterals
Classifying Triangles
3.1.1.17: [RIT 213 - 245] Knows properties of special triangles, such as acute, right, scalene, etc.
3.1.1.18: [RIT 213 - 260] Knows properties of parallelograms, including special parallelograms such as squares, rhombuses, etc.
3.1.2: Identification and Classification of 3-D Shapes
3.1.2.1: [RIT 154 - 195] Identifies and names cubes, cones, cylinders, and spheres
Measuring Volume
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
3.1.2.3: [RIT 179 - 186] Identifies and names rectangular prisms
Balancing Blocks (Volume)
Measuring Volume
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
3.1.2.4: [RIT 179 - 199] Identifies the number of faces, edges, or vertices for a 3-D object, given pictures
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
3.1.2.5: [RIT 191 - 228] Identifies faces, bases, edges, or vertices of 3-D shapes
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
3.1.2.6: [RIT 191 - 191] Describes polyhedrons based on the shapes of faces, and/or number of faces, edges, or vertices, given pictures
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
3.1.2.7: [RIT 195 - 210] Describes cones, cylinders, and spheres based on the shape of surfaces and/or number of bases or vertices, without pictures given
Prisms and Cylinders
Pyramids and Cones
3.1.2.10: [RIT 241 - 241] Identifies and names polyhedrons
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
3.1.2.11: [RIT 254 - 254] Compares 3-D figures based on the shapes of faces and/or number of faces, edges, or vertices
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
3.2.1: Congruence
3.2.1.1: [RIT 153 - 184] Identifies congruent shapes, given informal language
3.2.1.2: [RIT 189 - 218] Identifies congruent shapes, given formal language
3.2.1.3: [RIT 194 - 206] Identifies corresponding sides and angles in congruent figures
3.2.1.7: [RIT 229 - 229] Uses formal notation to denote corresponding sides and angles in congruent triangles
3.2.1.9: [RIT 239 - 239] Describes a series of transformations that show two shapes are congruent on the coordinate plane
Rotations, Reflections, and Translations
3.2.1.10: [RIT 243 - 243] Describes a single transformation that shows two shapes are congruent on the coordinate plane
Rotations, Reflections, and Translations
Translations
3.2.1.11: [RIT 251 - 255] Identifies congruent triangles using AAS, ASA, SAS, or SSS
Congruence in Right Triangles
Proving Triangles Congruent
3.2.1.12: [RIT 252 - 277] Identifies the congruence postulate that proves two triangles are congruent
Congruence in Right Triangles
Proving Triangles Congruent
3.2.1.15: [RIT 262 - 262] Determines the conditions necessary to prove two triangles are congruent
Congruence in Right Triangles
Proving Triangles Congruent
3.2.2: Similarity
3.2.2.1: [RIT 180 - 181] Identifies similar figures
Similar Figures
Similarity in Right Triangles
3.2.2.2: [RIT 204 - 253] Applies scale factors to solve problems involving scale drawings, maps, and models
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
3.2.2.3: [RIT 212 - 212] Determines scale factors in problems involving scale drawings, maps, and models
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
3.2.2.4: [RIT 212 - 260] Determines lengths of corresponding sides in similar figures
Similar Figures
Similarity in Right Triangles
3.2.2.5: [RIT 213 - 226] Identifies corresponding sides and angles in similar figures
Similar Figures
Similarity in Right Triangles
3.2.2.6: [RIT 213 - 213] Knows the definition of similarity
Similar Figures
Similarity in Right Triangles
3.2.2.7: [RIT 215 - 249] Applies properties of similar triangles to solve real-world problems involving indirect measurements
3.2.2.8: [RIT 223 - 239] Determines scale factors in problems involving scale drawings of geometric figures
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
3.2.2.10: [RIT 224 - 224] Determines the ratio between perimeters of similar figures
Perimeters and Areas of Similar Figures
3.2.2.11: [RIT 224 - 252] Applies scale factors to solve problems involving scale drawings of geometric figures
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
3.2.2.13: [RIT 235 - 235] Applies properties of similar figures to determine an area
Perimeters and Areas of Similar Figures
3.2.2.14: [RIT 237 - 257] Applies properties of similar figures to determine a perimeter
Perimeters and Areas of Similar Figures
3.2.2.15: [RIT 239 - 239] Identifies the proportion of corresponding sides of similar figures
3.2.2.16: [RIT 243 - 263] Applies similarity postulates to solve for missing lengths and angles
3.2.2.17: [RIT 247 - 247] Applies similarity postulates to identify corresponding sides and angles
3.2.2.20: [RIT 256 - 256] Identifies similar triangles using AA
Proving Triangles Congruent
Similarity in Right Triangles
3.2.2.21: [RIT 260 - 276] Applies the geometric mean to solve for missing lengths and angles in triangles
3.2.2.22: [RIT 263 - 276] Determines the conditions necessary to prove two triangles are similar
3.2.2.23: [RIT 268 - 271] Identifies the similarity postulate that proves two triangles are similar
3.2.2.25: [RIT 283 - 283] Solves problems involving multiple theorems of similar triangles, including the Triangle Proportionality Theorem, segment proportionality property for parallel lines, and similarity postulates
3.2.2.27: [RIT 285 - 286] Determines the ratio between areas of similar figures
Perimeters and Areas of Similar Figures
3.2.3: Spatial Concepts and Symmetry
3.2.3.2: [RIT 162 - 180] Recognizes lines of symmetry in 2-D figures
Holiday Snowflake Designer
Quilting Bee (Symmetry)
3.2.3.3: [RIT 170 - 217] Identifies the figure formed by folding and/or cutting a shape
3.2.3.4: [RIT 171 - 202] Composes or decomposes 2-D shapes to form new shapes
3.2.3.5: [RIT 175 - 208] Identifies multiple views of structures composed of cubes
3.2.3.6: [RIT 177 - 177] Identifies 3-D shapes given multiple views
3.2.3.7: [RIT 180 - 202] Identifies 2-D figures which have line symmetry
Holiday Snowflake Designer
Quilting Bee (Symmetry)
3.2.3.8: [RIT 181 - 220] Determines the number of lines of symmetry in 2-D figures
Holiday Snowflake Designer
Quilting Bee (Symmetry)
3.2.3.9: [RIT 185 - 234] Identifies and creates nets for prisms
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.10: [RIT 186 - 202] Identifies and creates nets for pyramids
Surface and Lateral Areas of Pyramids and Cones
3.2.3.11: [RIT 195 - 222] Identifies and creates nets for cones
Surface and Lateral Areas of Pyramids and Cones
3.2.3.12: [RIT 206 - 206] Composes or decomposes 3-D shapes to form new shapes
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
3.2.3.13: [RIT 206 - 217] Identifies 2-D figures which have rotational symmetry
3.2.3.14: [RIT 211 - 225] Identifies single views of 3-D shapes
3.2.3.15: [RIT 213 - 249] Identifies single views of structures composed of cubes
3.2.3.16: [RIT 219 - 236] Identifies and creates nets for cylinders
Surface and Lateral Areas of Prisms and Cylinders
3.2.3.17: [RIT 244 - 270] Identifies the cross-sections of 3-D shapes
3.2.3.21: [RIT 260 - 260] Identifies the rotational or reflectional symmetry of a shape
3.2.4: Geometric Proof/Logic/Inductive and Deductive Reasoning
3.2.4.1: [RIT 252 - 277] Identifies the congruence postulate that proves two triangles are congruent
Congruence in Right Triangles
Proving Triangles Congruent
3.2.4.2: [RIT 262 - 262] Determines the conditions necessary to prove two triangles are congruent
Congruence in Right Triangles
Proving Triangles Congruent
3.2.4.3: [RIT 263 - 276] Determines the conditions necessary to prove two triangles are similar
3.2.4.4: [RIT 268 - 271] Identifies the similarity postulate that proves two triangles are similar
3.3.1: Coordinate Geometry
3.3.1.1: [RIT 201 - 218] Counts to find the distance between points on the coordinate plane
3.3.1.3: [RIT 205 - 237] Determines the distance between two points with the same first or second coordinate
Distance Formula
Points in the Coordinate Plane
3.3.1.4: [RIT 209 - 236] Determines the coordinates of points in all four quadrants of a coordinate graph
Points in the Coordinate Plane
3.3.1.5: [RIT 214 - 236] Determines the coordinates of missing vertices of geometric figures in the first quadrant given the coordinates of the other vertices
Points in the Coordinate Plane
3.3.1.9: [RIT 235 - 235] Determines a side length of a polygon given the coordinates of the vertices with the same first or second coordinate
Points in the Coordinate Plane
3.3.1.10: [RIT 242 - 266] Determines the distance between two points on the coordinate plane
3.3.1.13: [RIT 251 - 273] Identifies collinear points
3.3.1.24: [RIT 264 - 264] Determines the perimeter of a triangle given the coordinates of the vertices
3.3.2: Circles
3.3.2.1: [RIT 237 - 279] Writes the equation of a circle given the center and radius
3.3.2.2: [RIT 257 - 275] Writes the equation of a circle given a graph
3.3.2.3: [RIT 267 - 273] Graphs a circle given the equation
3.3.2.4: [RIT 272 - 272] Determines the center and radius given the standard form of the equation
3.3.2.5: [RIT 275 - 275] Writes the equation of a circle given the center and a point on the circle
3.3.2.6: [RIT 278 - 286] Determines the center and radius of a circle given the general form of the equation
3.3.3: Conic Sections
3.3.3.1: [RIT 237 - 279] Writes the equation of a circle given the center and radius
3.3.3.2: [RIT 247 - 271] Identifies the conic section from the equation
3.3.3.3: [RIT 257 - 275] Writes the equation of a circle given a graph
3.3.3.4: [RIT 267 - 273] Graphs a circle given the equation
3.3.3.5: [RIT 268 - 268] Writes the equation of an ellipse given the center and vertices
3.3.3.6: [RIT 268 - 268] Graphs a parabola with an axis of symmetry parallel to the x-axis
3.3.3.7: [RIT 272 - 272] Determines the center and radius given the standard form of the equation
3.3.3.8: [RIT 275 - 275] Writes the equation of a circle given the center and a point on the circle
3.3.3.9: [RIT 278 - 286] Determines the center and radius of a circle given the general form of the equation
3.3.4: Geometric Constructions
3.3.4.1: [RIT 257 - 257] Identifies the geometric construction of an angle bisector
Constructing Parallel and Perpendicular Lines
3.3.4.2: [RIT 263 - 263] Identifies the geometric construction of a line segment bisector or the midpoint of a line segment
Constructing Parallel and Perpendicular Lines
3.3.5: Points, Lines, Segments, Rays, and Angles
3.3.5.1: [RIT 181 - 203] Identifies parallel lines involving real-world objects
Constructing Parallel and Perpendicular Lines
3.3.5.2: [RIT 185 - 198] Identifies intersecting lines
Parallel, Intersecting, and Skew Lines
3.3.5.3: [RIT 186 - 213] Identifies right angles
3.3.5.4: [RIT 193 - 210] Identifies parallel lines
Parallel, Intersecting, and Skew Lines
3.3.5.5: [RIT 201 - 229] Identifies acute or obtuse angles
3.3.5.6: [RIT 202 - 229] Identifies points, lines, rays, line segments, and angles
Parallel, Intersecting, and Skew Lines
3.3.5.7: [RIT 203 - 203] Knows the definition of an acute angle
3.3.5.8: [RIT 205 - 205] Recognizes precise definitions of parallel and perpendicular lines
Constructing Parallel and Perpendicular Lines
Parallel, Intersecting, and Skew Lines
3.3.5.9: [RIT 213 - 239] Identifies perpendicular lines involving real-world objects
Constructing Parallel and Perpendicular Lines
3.3.5.10: [RIT 222 - 228] Understands what the measure of an angle represents
3.3.5.11: [RIT 227 - 243] Identifies perpendicular lines
Constructing Parallel and Perpendicular Lines
3.3.5.12: [RIT 248 - 248] Defines midpoints of line segments
3.3.5.13: [RIT 275 - 275] Defines bisectors of line segments
3.3.6: Angle Measurement
3.3.6.1: [RIT 203 - 203] Knows the definition of an acute angle
3.3.6.2: [RIT 222 - 228] Understands what the measure of an angle represents
3.3.6.3: [RIT 226 - 235] Knows the definition of an angle
3.3.7: Relationships involving Lines, Angles, and Polygons
3.3.7.1: [RIT 194 - 194] Identifies diagonals of polygons
3.3.7.2: [RIT 215 - 258] Calculates unknown angle measures using the properties of complementary, supplementary, and vertical angles
3.3.7.3: [RIT 220 - 250] Applies the formula for the sum of the interior angles of a polygon
3.3.7.4: [RIT 223 - 241] Recognizes that the sum of the interior angles of a triangle is 180 degrees
Polygon Angle Sum
Triangle Angle Sum
3.3.7.5: [RIT 226 - 246] Applies the Triangle Angle-Sum Theorem to determine the measure of an unknown angle
3.3.7.6: [RIT 228 - 250] Applies properties of isosceles triangles to determine the measure of an unknown angle
Isosceles and Equilateral Triangles
3.3.7.7: [RIT 230 - 255] Solves problems involving parallel lines cut by a transversal
3.3.7.8: [RIT 230 - 230] Determines the number of diagonals that can be drawn from one vertex in a polygon
3.3.7.10: [RIT 237 - 268] Solves problems by applying multiple properties of angles, including interior and exterior angles of triangles; complementary, supplementary, and vertical angles; and angles created by perpendicular lines or parallel lines cut by a transversal
Investigating Angle Theorems
Triangle Angle Sum
3.3.7.12: [RIT 240 - 240] Defines complementary and supplementary angles
3.3.7.13: [RIT 241 - 276] Applies the Triangle Inequality Theorem
3.3.7.14: [RIT 242 - 243] Applies the Triangle Exterior Angle Theorem to determine the measure of an unknown angle
3.3.7.15: [RIT 245 - 249] Identifies corresponding, alternate interior, and alternate exterior angles
3.3.7.16: [RIT 248 - 258] Identifies complementary and supplementary angles
3.3.7.17: [RIT 253 - 260] Determines the conditions necessary to show that two lines are parallel
Constructing Parallel and Perpendicular Lines
3.3.7.18: [RIT 256 - 258] Applies the formula for the measure of each exterior angle of a regular polygon
3.3.7.19: [RIT 258 - 258] Applies the formula for the measure of each interior angle of a regular polygon
3.3.7.21: [RIT 280 - 280] Identifies vertical angles
3.3.8: Geometric Proof/Logic/Inductive and Deductive Reasoning
3.3.8.1: [RIT 253 - 260] Determines the conditions necessary to show that two lines are parallel
Constructing Parallel and Perpendicular Lines
3.3.8.2: [RIT 275 - 275] Proves theorems involving the properties of parallelograms
Parallelogram Conditions
Special Parallelograms
3.4.1: Transformations
3.4.1.1: [RIT 177 - 226] Performs a slide, flip, or turn without using a grid
Reflections
Rotations, Reflections, and Translations
3.4.1.2: [RIT 199 - 220] Identifies a slide, flip, or turn that will carry a given figure onto another, without a grid
3.4.1.3: [RIT 202 - 225] Performs a translation, reflection, or rotation, without the coordinate plane
Reflections
Rotations, Reflections, and Translations
3.4.1.4: [RIT 208 - 208] Knows the definition of a slide, a flip, or a turn
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Translations
3.4.1.5: [RIT 214 - 221] Identifies the degree of rotation that will map one figure onto another, without the coordinate plane
3.4.1.6: [RIT 214 - 214] Identifies the degree of rotation that shows that two given figures are congruent, without a coordinate plane
3.4.1.7: [RIT 218 - 232] Describes a single transformation that will map one figure onto another, without the coordinate plane
Reflections
Rotations, Reflections, and Translations
Translations
3.4.1.8: [RIT 221 - 254] Determines the image of a polygon on a coordinate plane after a reflection or a series of reflections
Rotations, Reflections, and Translations
3.4.1.9: [RIT 223 - 260] Determines the coordinates of the vertices of a polygon after a dilation or a series of dilations, with center at the origin
3.4.1.11: [RIT 224 - 232] Understands that rigid transformations preserve congruency
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Translations
3.4.1.12: [RIT 226 - 230] Determines the coordinates of the vertices of a polygon after a translation or a series of translations
3.4.1.13: [RIT 226 - 226] Determines the image of a polygon on a coordinate plane after a rotation or a series of rotations
Rotations, Reflections, and Translations
3.4.1.15: [RIT 231 - 259] Determines the coordinates of the vertices of a polygon after a reflection or a series of reflections
Rotations, Reflections, and Translations
3.4.1.16: [RIT 231 - 242] Describes the effects of dilation on lengths and angle measures
3.4.1.17: [RIT 232 - 272] Describes a single transformation that will map one figure onto itself, without the coordinate plane
3.4.1.18: [RIT 236 - 244] Determines the coordinates of the vertices of a polygon after a rotation or a series of rotations
Rotations, Reflections, and Translations
3.4.1.19: [RIT 239 - 239] Performs a series of translations, reflections, and rotations, without the coordinate plane
Rotations, Reflections, and Translations
3.4.1.20: [RIT 240 - 240] Determines the image of a translation represented in coordinate notation
3.4.1.22: [RIT 249 - 263] Describes a translation using coordinate notation
3.4.1.23: [RIT 250 - 250] Determines the image of a polygon on a coordinate plane after a series of translations, reflections, or rotations
Rotations, Reflections, and Translations
3.4.1.24: [RIT 251 - 251] Determines the image of a dilation represented in coordinate notation
3.4.1.25: [RIT 252 - 252] Identifies the center and scale factor used in a dilation represented in the coordinate plane
3.4.1.26: [RIT 253 - 253] Applies the scale factor in a dilation to solve for unknown lengths
3.4.1.27: [RIT 264 - 264] Determines the image of a reflection represented in coordinate notation
Rotations, Reflections, and Translations
3.4.1.29: [RIT 285 - 285] Describes the effects of dilation on areas
3.5.1: Pythagorean Theorem
3.5.1.1: [RIT 240 - 266] Uses the Pythagorean Theorem to calculate the length of a missing side of a right triangle
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
3.5.1.2: [RIT 241 - 275] Uses the Pythagorean Theorem to solve real-world or mathematical problems
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
3.5.1.3: [RIT 253 - 268] Applies the converse of the Pythagorean Theorem to identify right triangles
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
3.5.2: Trigonometry
3.5.2.2: [RIT 240 - 267] Represents the tangent of an angle as a ratio of sides in a right triangle
Sine, Cosine, and Tangent Ratios
Tangent Function
3.5.2.3: [RIT 241 - 263] Represents the sine of an angle as a ratio of sides in a right triangle
Sine Function
Sine, Cosine, and Tangent Ratios
3.5.2.4: [RIT 247 - 267] Represents the cosine of an angle as a ratio of sides in a right triangle
Cosine Function
Sine, Cosine, and Tangent Ratios
3.5.2.5: [RIT 250 - 270] Uses sine, cosine, or tangent to determine the length of a side in a right triangle
Sine, Cosine, and Tangent Ratios
3.5.2.7: [RIT 263 - 266] Uses sine, cosine, and tangent to determine lengths to solve real-world and mathematical problems
Sine, Cosine, and Tangent Ratios
3.5.3: Relationships involving Lines, Angles, and Polygons
3.5.3.1: [RIT 258 - 279] Uses the 45-45-90 and 30-60-90 right triangle relationships to calculate the length of a missing side of a right triangle
Cosine Function
Sine Function
Tangent Function
3.5.3.2: [RIT 259 - 275] Uses the 45-45-90 and 30-60-90 right triangle relationships to solve real-world and mathematical problems
Cosine Function
Sine Function
Tangent Function
3.6.1: Circles
3.6.1.1: [RIT 236 - 236] Recognizes the relationship between the diameter and the radius of a circle
Circumference and Area of Circles
3.6.1.2: [RIT 238 - 263] Understands that the ratio between the circumference and the diameter of a circle is equal to pi
Circumference and Area of Circles
3.6.1.3: [RIT 242 - 286] Uses properties of central and inscribed angles to solve problems involving circles
Chords and Arcs
Inscribed Angles
3.6.1.4: [RIT 243 - 271] Solves problems involving inscribed angles on a diameter
3.6.1.5: [RIT 256 - 271] Uses properties of chords to solve problems involving circles
3.6.1.8: [RIT 263 - 263] Recognizes a precise definition of circles
3.6.1.9: [RIT 263 - 274] Calculates arc lengths
Chords and Arcs
Inscribed Angles
3.6.1.11: [RIT 266 - 266] Solves problems involving arc measures of a circle
Content correlation last revised: 9/27/2021