Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 8 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 211 - 220 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 201 - 210 Skills and Concepts to Develop (50% Probability*) 211 - 220 Skills and Concepts to Introduce (27% Probability*) 221 - 230 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Uses the appropriate unit of measure for length • Knows the approximate size of a yard • Measures length to the nearest centimeter • Knows the approximate size of a pound • Knows the approximate size of a gram • Estimates the measure of acute, right, and obtuse angles using 45 and 90 degrees as referents • Determines the perimeter of a figure where some sides are labeled • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Estimates the area of rectangles using square units • Determines the area of irregular shapes with partial square units • Identifies situations where it is appropriate to calculate area • Estimates and finds volume of a figure using cubic units • Uses basic indirect methods to estimate measurements (grids for area of irregular figures) • Identifies parallel lines • Uses models to compare angles relative to right angles • Identifies and names a parallelogram • Identifies and names a trapezoid • Identifies and names a hexagon • Classifies polygons by number of sides • Classifies polygons by sides and angles • Identifies corners (vertices) of cubes • Classifies cubes by their properties (e.g., edges with equal lengths, faces with equal areas and congruent shapes, right angle corners) • Identifies a cube from a net • Identifies and names a cylinder • Uses the appropriate unit of measure for length • Knows the approximate size of a millimeter • Selects and uses the appropriate type and size of unit in metric system (mass) • Solves simple problems involving capacity • Estimates the measure of acute, right, and obtuse angles using 45 and 90 degrees as referents • Measures angles using a protractor • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Finds the perimeter of a polygon using a formula • Describes the change in perimeter when dimensions of an object are altered • Determines the diameter, given the radius, and vice versa • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Determines the area of irregular shapes with partial square units • Estimates and finds volume of a figure using cubic units • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Identifies properties of angles • Identifies acute angles • Identifies obtuse angles • Identifies and names a trapezoid • Identifies and names a rhombus • Identifies and names a quadrilateral • Classifies polygons by type of angle • Identifies corners (vertices) of cubes • Identifies the net which makes a cube-like (open box) figure • Identifies the number of edges on rectangular prisms • Predicts and verifies the effects of combining or subdividing basic shapes • Determines an appropriate scale for representing a distance on a map • Determines coordinates of geometric figures in the first quadrant • Measures length to the nearest millimeter • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Solves simple problems involving the area of a square or rectangle • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of irregular shapes (customary units) • Calculates area and perimeter of a rectangle (customary units) • Calculates the volume of rectangular solids • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies and determines missing angle measures for supplementary angles • Identifies acute angles • Classifies equilateral triangles • Identifies and names a rhombus • Identifies and names a quadrilateral • Compares polygons by properties • Identifies properties of quadrilaterals • Classifies polygons by type of angle • Identifies the number of edges on rectangular prisms • Uses similarity to solve problems using scale drawings • Determines an appropriate scale for representing an object in a scale drawing Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig • Identifies congruent polygons and their corresponding sides and angles • Classifies plane figures by the number of lines of symmetry • Identifies similar and congruent triangles • Uses similar figures to construct ratios and solve for a missing side • Identifies properties of parallel and perpendicular lines • Recognizes the interior angle relationships of triangles Explanatory Notes * At the range mid-point, this is the probability students would correctly answer items measuring these concepts and skills. Both data from test items and review by NWEA curriculum specialists are used to place Learning Continuum statements into appropriate RIT ranges. Blank cells indicate data are limited or unavailable for this range or document version. Generated 8/7/14, 9:51:09 PM © 2006-2014 Northwest Evaluation Association. All rights reserved. Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 9 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 211 - 220 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 201 - 210 Skills and Concepts to Develop (50% Probability*) 211 - 220 Skills and Concepts to Introduce (27% Probability*) 221 - 230 Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Uses similar figures to construct ratios and solve for a missing side • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Identifies geometric transformations (reflections) New Vocabulary: cubic centimeter, cubic unit, edge, larger, parallel line, regular polygon, trapezoid New Signs and Symbols: cm centimeter/centimetre, ° degrees, g gram New Vocabulary: acute angle, congruent angle, cord, dilation, obtuse angle, straight angle, transformation New Signs and Symbols: ∠ angle, angle marker (arc), ↓ measurement span down, ← measurement span left, → measurement span right, ↑ measurement span up, mm millimeter/millimetre, ∙ point, right angle marker, : used with time New Vocabulary: cubic meter, interior angle, long, scale factor New Signs and Symbols: ( ) ordered pair, ′ feet, h height, ″ inches, = is equal to, = is equal to, l length, × multiplication, : ratio, V volume, w width

Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 9 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 211 - 220 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 201 - 210 Skills and Concepts to Develop (50% Probability*) 211 - 220 Skills and Concepts to Introduce (27% Probability*) 221 - 230 Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Uses similar figures to construct ratios and solve for a missing side • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Identifies geometric transformations (reflections) New Vocabulary: cubic centimeter, cubic unit, edge, larger, parallel line, regular polygon, trapezoid New Signs and Symbols: cm centimeter/centimetre, ° degrees, g gram New Vocabulary: acute angle, congruent angle, cord, dilation, obtuse angle, straight angle, transformation New Signs and Symbols: ∠ angle, angle marker (arc), ↓ measurement span down, ← measurement span left, → measurement span right, ↑ measurement span up, mm millimeter/millimetre, ∙ point, right angle marker, : used with time New Vocabulary: cubic meter, interior angle, long, scale factor New Signs and Symbols: ( ) ordered pair, ′ feet, h height, ″ inches, = is equal to, = is equal to, l length, × multiplication, : ratio, V volume, w width Explanatory Notes * At the range mid-point, this is the probability students would correctly answer items measuring these concepts and skills. Both data from test items and review by NWEA curriculum specialists are used to place Learning Continuum statements into appropriate RIT ranges. Blank cells indicate data are limited or unavailable for this range or document version. Generated 8/7/14, 9:51:09 PM © 2006-2014 Northwest Evaluation Association. All rights reserved. Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 10 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 221 - 230 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 211 - 220 Skills and Concepts to Develop (50% Probability*) 221 - 230 Skills and Concepts to Introduce (27% Probability*) 231 - 240 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Uses the appropriate unit of measure for length • Knows the approximate size of a millimeter • Selects and uses the appropriate type and size of unit in metric system (mass) • Solves simple problems involving capacity • Estimates the measure of acute, right, and obtuse angles using 45 and 90 degrees as referents • Measures angles using a protractor • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Finds the perimeter of a polygon using a formula • Describes the change in perimeter when dimensions of an object are altered • Determines the diameter, given the radius, and vice versa • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Determines the area of irregular shapes with partial square units • Estimates and finds volume of a figure using cubic units • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Identifies properties of angles • Identifies acute angles • Identifies obtuse angles • Identifies and names a trapezoid • Identifies and names a rhombus • Identifies and names a quadrilateral • Classifies polygons by type of angle • Identifies corners (vertices) of cubes • Identifies the net which makes a cube-like (open box) figure • Identifies the number of edges on rectangular prisms • Predicts and verifies the effects of combining or subdividing basic shapes • Determines an appropriate scale for representing a distance on a map • Determines coordinates of geometric figures in the first quadrant • Measures length to the nearest millimeter • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Solves simple problems involving the area of a square or rectangle • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of irregular shapes (customary units) • Calculates area and perimeter of a rectangle (customary units) • Calculates the volume of rectangular solids • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies and determines missing angle measures for supplementary angles • Identifies acute angles • Classifies equilateral triangles • Identifies and names a rhombus • Identifies and names a quadrilateral • Compares polygons by properties • Identifies properties of quadrilaterals • Classifies polygons by type of angle • Identifies the number of edges on rectangular prisms • Uses similarity to solve problems using scale drawings • Determines an appropriate scale for representing an object in a scale drawing • Measures length to the nearest millimeter • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Identifies the formula for perimeter with a variable • Determines the circumference when given the diameter or radius (or vice versa) • Determines the circumference when given the area of a circle (or vice versa) • Knows the relationship between radius, diameter, and circumference • Compares area of numerous triangles • Determines the area of a triangle drawn on a grid • Determines the area of a triangle, given the formula • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Describes the change in area of a rectangle when dimensions of an object are altered • Solves simple problems involving the area of a square or rectangle • Determines the area of a parallelogram, given a labeled diagram • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of a trapezoid, given the formula (metric units) • Solves problems comparing areas of different polygons • Determines the area of irregular shapes (customary units) • Understands the procedure for finding the area and surface area of figures • Calculates the volume of rectangular solids • Calculates the length, width, or height of a rectangular prism, given the area (customary units) • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Determines which lines are perpendicular (analysis) • Classifies isosceles triangles • Classifies scalene triangles • Identifies properties of circles • Compares polygons by properties • Identifies properties of quadrilaterals • Uses similarity to solve problems using scale drawings

Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 10 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 221 - 230 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 211 - 220 Skills and Concepts to Develop (50% Probability*) 221 - 230 Skills and Concepts to Introduce (27% Probability*) 231 - 240 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Uses the appropriate unit of measure for length • Knows the approximate size of a millimeter • Selects and uses the appropriate type and size of unit in metric system (mass) • Solves simple problems involving capacity • Estimates the measure of acute, right, and obtuse angles using 45 and 90 degrees as referents • Measures angles using a protractor • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Finds the perimeter of a polygon using a formula • Describes the change in perimeter when dimensions of an object are altered • Determines the diameter, given the radius, and vice versa • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Determines the area of irregular shapes with partial square units • Estimates and finds volume of a figure using cubic units • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Identifies properties of angles • Identifies acute angles • Identifies obtuse angles • Identifies and names a trapezoid • Identifies and names a rhombus • Identifies and names a quadrilateral • Classifies polygons by type of angle • Identifies corners (vertices) of cubes • Identifies the net which makes a cube-like (open box) figure • Identifies the number of edges on rectangular prisms • Predicts and verifies the effects of combining or subdividing basic shapes • Determines an appropriate scale for representing a distance on a map • Determines coordinates of geometric figures in the first quadrant • Measures length to the nearest millimeter • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Solves simple problems involving the area of a square or rectangle • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of irregular shapes (customary units) • Calculates area and perimeter of a rectangle (customary units) • Calculates the volume of rectangular solids • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies and determines missing angle measures for supplementary angles • Identifies acute angles • Classifies equilateral triangles • Identifies and names a rhombus • Identifies and names a quadrilateral • Compares polygons by properties • Identifies properties of quadrilaterals • Classifies polygons by type of angle • Identifies the number of edges on rectangular prisms • Uses similarity to solve problems using scale drawings • Determines an appropriate scale for representing an object in a scale drawing • Measures length to the nearest millimeter • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Identifies the formula for perimeter with a variable • Determines the circumference when given the diameter or radius (or vice versa) • Determines the circumference when given the area of a circle (or vice versa) • Knows the relationship between radius, diameter, and circumference • Compares area of numerous triangles • Determines the area of a triangle drawn on a grid • Determines the area of a triangle, given the formula • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Describes the change in area of a rectangle when dimensions of an object are altered • Solves simple problems involving the area of a square or rectangle • Determines the area of a parallelogram, given a labeled diagram • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of a trapezoid, given the formula (metric units) • Solves problems comparing areas of different polygons • Determines the area of irregular shapes (customary units) • Understands the procedure for finding the area and surface area of figures • Calculates the volume of rectangular solids • Calculates the length, width, or height of a rectangular prism, given the area (customary units) • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Determines which lines are perpendicular (analysis) • Classifies isosceles triangles • Classifies scalene triangles • Identifies properties of circles • Compares polygons by properties • Identifies properties of quadrilaterals • Uses similarity to solve problems using scale drawings Explanatory Notes * At the range mid-point, this is the probability students would correctly answer items measuring these concepts and skills. Both data from test items and review by NWEA curriculum specialists are used to place Learning Continuum statements into appropriate RIT ranges. Blank cells indicate data are limited or unavailable for this range or document version. Generated 8/7/14, 9:51:09 PM © 2006-2014 Northwest Evaluation Association. All rights reserved. Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 11 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 221 - 230 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 211 - 220 Skills and Concepts to Develop (50% Probability*) 221 - 230 Skills and Concepts to Introduce (27% Probability*) 231 - 240 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Explores maps and relates them to measurements of real distances, using proportional reasoning • Determines an appropriate scale for representing an object in a scale drawing Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig • Identifies similar and congruent triangles • Uses similar figures to construct ratios and solve for a missing side • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Identifies properties of parallel and perpendicular lines • Recognizes the interior angle relationships of triangles • Uses similar figures to construct ratios and solve for a missing side • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Identifies geometric transformations (reflections) • Identifies and determines a missing angle measure in corresponding, vertical, and alternate exterior/interior angles • Recognizes the interior angle relationships of triangles • Identifies properties of congruent triangles • Solves problems involving properties of congruent triangles • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (dilations) • Identifies geometric transformations (reflections) • Determines whether a given pair of figures on a coordinate plane represents a translation, reflection, rotation, or dilation New Vocabulary: acute angle, congruent angle, cord, dilation, obtuse angle, straight angle, transformation New Signs and Symbols: ∠ angle, angle marker (arc), ↓ measurement span down, ← measurement span left, → measurement span right, ↑ measurement span up, mm millimeter/millimetre, ∙ point, right angle marker, : used with time New Vocabulary: cubic meter, interior angle, long, scale factor New Signs and Symbols: ( ) ordered pair, ′ feet, h height, ″ inches, = is equal to, = is equal to, l length, × multiplication, : ratio, V volume, w width New Vocabulary: None New Signs and Symbols: ( ) order of operations, + addition, C circumference, congruent segment symbol, d diameter, × multiplication, P perimeter, π pi, r radius

Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 11 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 221 - 230 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 211 - 220 Skills and Concepts to Develop (50% Probability*) 221 - 230 Skills and Concepts to Introduce (27% Probability*) 231 - 240 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Explores maps and relates them to measurements of real distances, using proportional reasoning • Determines an appropriate scale for representing an object in a scale drawing Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig • Identifies similar and congruent triangles • Uses similar figures to construct ratios and solve for a missing side • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Identifies properties of parallel and perpendicular lines • Recognizes the interior angle relationships of triangles • Uses similar figures to construct ratios and solve for a missing side • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Identifies geometric transformations (reflections) • Identifies and determines a missing angle measure in corresponding, vertical, and alternate exterior/interior angles • Recognizes the interior angle relationships of triangles • Identifies properties of congruent triangles • Solves problems involving properties of congruent triangles • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (dilations) • Identifies geometric transformations (reflections) • Determines whether a given pair of figures on a coordinate plane represents a translation, reflection, rotation, or dilation New Vocabulary: acute angle, congruent angle, cord, dilation, obtuse angle, straight angle, transformation New Signs and Symbols: ∠ angle, angle marker (arc), ↓ measurement span down, ← measurement span left, → measurement span right, ↑ measurement span up, mm millimeter/millimetre, ∙ point, right angle marker, : used with time New Vocabulary: cubic meter, interior angle, long, scale factor New Signs and Symbols: ( ) ordered pair, ′ feet, h height, ″ inches, = is equal to, = is equal to, l length, × multiplication, : ratio, V volume, w width New Vocabulary: None New Signs and Symbols: ( ) order of operations, + addition, C circumference, congruent segment symbol, d diameter, × multiplication, P perimeter, π pi, r radius Explanatory Notes * At the range mid-point, this is the probability students would correctly answer items measuring these concepts and skills. Both data from test items and review by NWEA curriculum specialists are used to place Learning Continuum statements into appropriate RIT ranges. Blank cells indicate data are limited or unavailable for this range or document version. Generated 8/7/14, 9:51:09 PM © 2006-2014 Northwest Evaluation Association. All rights reserved. Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 12 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 231 - 240 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 221 - 230 Skills and Concepts to Develop (50% Probability*) 231 - 240 Skills and Concepts to Introduce (27% Probability*) 241 - 250 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Determines coordinates of geometric figures in the first quadrant • Measures length to the nearest millimeter • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Solves simple problems involving the area of a square or rectangle • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of irregular shapes (customary units) • Calculates area and perimeter of a rectangle (customary units) • Calculates the volume of rectangular solids • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies and determines missing angle measures for supplementary angles • Identifies acute angles • Classifies equilateral triangles • Identifies and names a rhombus • Identifies and names a quadrilateral • Compares polygons by properties • Identifies properties of quadrilaterals • Classifies polygons by type of angle • Identifies the number of edges on rectangular prisms • Uses similarity to solve problems using scale drawings • Determines an appropriate scale for representing an object in a scale drawing • Measures length to the nearest millimeter • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Identifies the formula for perimeter with a variable • Determines the circumference when given the diameter or radius (or vice versa) • Determines the circumference when given the area of a circle (or vice versa) • Knows the relationship between radius, diameter, and circumference • Compares area of numerous triangles • Determines the area of a triangle drawn on a grid • Determines the area of a triangle, given the formula • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Describes the change in area of a rectangle when dimensions of an object are altered • Solves simple problems involving the area of a square or rectangle • Determines the area of a parallelogram, given a labeled diagram • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of a trapezoid, given the formula (metric units) • Solves problems comparing areas of different polygons • Determines the area of irregular shapes (customary units) • Understands the procedure for finding the area and surface area of figures • Calculates the volume of rectangular solids • Calculates the length, width, or height of a rectangular prism, given the area (customary units) • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Determines which lines are perpendicular (analysis) • Classifies isosceles triangles • Classifies scalene triangles • Identifies properties of circles • Compares polygons by properties • Identifies properties of quadrilaterals • Uses similarity to solve problems using scale drawings • Determines slope from an equation (analysis) • Determines the midpoint of a line on a coordinate grid • Determines the figure when plotting ordered pairs • Computes and interprets the midpoint, given a set of ordered pairs (horizontal and vertical lines) • Determines the circumference when given the diameter or radius (or vice versa) • Determines the circumference when given the area of a circle (or vice versa) • Determines the area of a triangle without the formula • Determines the area of a figure when plotting ordered pairs without a grid • Solves problems involving area of a rectangle and converts to larger or smaller units (customary) • Describes the change in area of a rectangle when dimensions of an object are altered • Determines the area of a parallelogram, given a labeled diagram • Solves problems involving area of a circle • Determines the diameter or radius when given the area of a circle (metric units) • Solves problems comparing areas of different polygons • Determines the area of irregular shapes (customary units) • Calculates the area of irregular shapes (metric units) • Solves complex problems involving inscribed figures • Determines the surface area of rectangular solids • Determines the effects of changing dimensions on volume (no units) • Identifies and determines missing angle measures for complementary angles • Recognizes that the sum of the measures of two sides of a triangle must be greater than the measure of the third side

Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 12 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 231 - 240 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 221 - 230 Skills and Concepts to Develop (50% Probability*) 231 - 240 Skills and Concepts to Introduce (27% Probability*) 241 - 250 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Determines coordinates of geometric figures in the first quadrant • Measures length to the nearest millimeter • Determines the perimeter of a figure using non-standard units • Solves problems involving the perimeter of squares, rectangles, or triangles • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Describes the change in area of a triangle when 1 dimension of an object is altered (metric units) • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Solves simple problems involving the area of a square or rectangle • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of irregular shapes (customary units) • Calculates area and perimeter of a rectangle (customary units) • Calculates the volume of rectangular solids • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies and determines missing angle measures for supplementary angles • Identifies acute angles • Classifies equilateral triangles • Identifies and names a rhombus • Identifies and names a quadrilateral • Compares polygons by properties • Identifies properties of quadrilaterals • Classifies polygons by type of angle • Identifies the number of edges on rectangular prisms • Uses similarity to solve problems using scale drawings • Determines an appropriate scale for representing an object in a scale drawing • Measures length to the nearest millimeter • Solves problems involving the perimeter of irregular or complex shapes • Describes the change in perimeter when dimensions of an object are altered • Identifies the formula for perimeter with a variable • Determines the circumference when given the diameter or radius (or vice versa) • Determines the circumference when given the area of a circle (or vice versa) • Knows the relationship between radius, diameter, and circumference • Compares area of numerous triangles • Determines the area of a triangle drawn on a grid • Determines the area of a triangle, given the formula • Calculates the area of a rectangle, given labeled sides (customary units) • Determines the length or width of a rectangle, given the area (metric units) • Describes the change in area of a rectangle when dimensions of an object are altered • Solves simple problems involving the area of a square or rectangle • Determines the area of a parallelogram, given a labeled diagram • Calculates the base or height of a parallelogram, given the area and formula (metric) • Determines the area of a trapezoid, given the formula (metric units) • Solves problems comparing areas of different polygons • Determines the area of irregular shapes (customary units) • Understands the procedure for finding the area and surface area of figures • Calculates the volume of rectangular solids • Calculates the length, width, or height of a rectangular prism, given the area (customary units) • Calculates the volume of a rectangular prism, and converts to a different measurement scale (customary units) • Determines which lines are perpendicular (analysis) • Classifies isosceles triangles • Classifies scalene triangles • Identifies properties of circles • Compares polygons by properties • Identifies properties of quadrilaterals • Uses similarity to solve problems using scale drawings • Determines slope from an equation (analysis) • Determines the midpoint of a line on a coordinate grid • Determines the figure when plotting ordered pairs • Computes and interprets the midpoint, given a set of ordered pairs (horizontal and vertical lines) • Determines the circumference when given the diameter or radius (or vice versa) • Determines the circumference when given the area of a circle (or vice versa) • Determines the area of a triangle without the formula • Determines the area of a figure when plotting ordered pairs without a grid • Solves problems involving area of a rectangle and converts to larger or smaller units (customary) • Describes the change in area of a rectangle when dimensions of an object are altered • Determines the area of a parallelogram, given a labeled diagram • Solves problems involving area of a circle • Determines the diameter or radius when given the area of a circle (metric units) • Solves problems comparing areas of different polygons • Determines the area of irregular shapes (customary units) • Calculates the area of irregular shapes (metric units) • Solves complex problems involving inscribed figures • Determines the surface area of rectangular solids • Determines the effects of changing dimensions on volume (no units) • Identifies and determines missing angle measures for complementary angles • Recognizes that the sum of the measures of two sides of a triangle must be greater than the measure of the third side Explanatory Notes * At the range mid-point, this is the probability students would correctly answer items measuring these concepts and skills. Both data from test items and review by NWEA curriculum specialists are used to place Learning Continuum statements into appropriate RIT ranges. Blank cells indicate data are limited or unavailable for this range or document version. Generated 8/7/14, 9:51:09 PM © 2006-2014 Northwest Evaluation Association. All rights reserved. Please refer to the DesCartes Use Agreement for terms of use. Educational Standard: Common Core Mathematics K-12: 2010 Page 13 of 20 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 231 - 240 Statements Last Updated: Aug 4, 2014 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 221 - 230 Skills and Concepts to Develop (50% Probability*) 231 - 240 Skills and Concepts to Introduce (27% Probability*) 241 - 250 Geometric Measurement and Relationships Geometric Measurement and Relationships Geometric Measurement and Relationships • Explores maps and relates them to measurements of real distances, using proportional reasoning • Determines an appropriate scale for representing an object in a scale drawing Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig Congruence, Similarity, Right Triangles, & Trig • Identifies properties of parallel and perpendicular lines • Recognizes the interior angle relationships of triangles • Uses similar figures to construct ratios and solve for a missing side • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (rotations) • Identifies geometric transformations (translations) • Identifies geometric transformations (reflections) • Identifies and determines a missing angle measure in corresponding, vertical, and alternate exterior/interior angles • Recognizes the interior angle relationships of triangles • Identifies properties of congruent triangles • Solves problems involving properties of congruent triangles • Uses similar triangles to construct ratios and solve for a missing side • Identifies geometric transformations (dilations) • Identifies geometric transformations (reflections) • Determines whether a given pair of figures on a coordinate plane represents a translation, reflection, rotation, or dilation • Uses an indirect method to measure the height of an inaccessible object • Identifies and determines a missing angle measure in corresponding, vertical, and alternate exterior/interior angles • Identifies corresponding and alternate exterior/interior angles • Uses properties of angles to solve mathematical problems • Recognizes the exterior angle relationships of triangles • Uses the Pythagorean theorem to solve problems • Uses Pythagorean triplets to solve problems • Determines whether a given pair of figures on a coordinate plane represents a translation, reflection, rotation, or dilation • Determines the coordinates of the dilation of a figure on a coordinate graph • Determines the new coordinates of a transformed geometric figure New Vocabulary: cubic meter, interior angle, long, scale factor New Signs and Symbols: ( ) ordered pair, ′ feet, h height, ″ inches, = is equal to, = is equal to, l length, × multiplication, : ratio, V volume, w width New Vocabulary: None New Signs and Symbols: ( ) order of operations, + addition, C circumference, congruent segment symbol, d diameter, × multiplication, P perimeter, π pi, r radius New Vocabulary: y-axis New Signs and Symbols: A area, b base, km kilometer/kilometre, ↔ line symbol, - negative number, parallel symbol, segment overbar, sq square, △ triangle