curriculum Geometry K 1 and 2 5
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 10/2/13, 9:32:58 AM © 2006-2013 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 1 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: < 161 Statements Last Updated: Sep 23, 2013 Goal: Geometry Skills and Concepts to Develop (50% Probability*) < 161 Skills and Concepts to Introduce (27% Probability*) 161 - 170 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Identifies and names a circle • Identifies spatial sense concepts (e.g., outside, inside, between, over, under, above, below, behind, in front, middle) • Identifies and names a triangle • Identifies and names a square • Identifies and names a rectangle • Identifies sides and vertices of polygons • Identifies and names a cone • Compares open and closed figures • Sorts solid figures and objects according to attributes • Identifies position of shapes (e.g., inside, outside, between) New Vocabulary: None New Signs and Symbols: None New Vocabulary: corner, flat New Signs and Symbols: None 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 10/2/13, 9:32:58 AM © 2006-2013 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 2 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 161 - 170 Statements Last Updated: Sep 23, 2013 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) < 161 Skills and Concepts to Develop (50% Probability*) 161 - 170 Skills and Concepts to Introduce (27% Probability*) 171 - 180 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Identifies and names a circle • Identifies spatial sense concepts (e.g., outside, inside, between, over, under, above, below, behind, in front, middle) • Identifies and names a triangle • Identifies and names a square • Identifies and names a rectangle • Identifies sides and vertices of polygons • Identifies and names a cone • Compares open and closed figures • Sorts solid figures and objects according to attributes • Identifies position of shapes (e.g., inside, outside, between) • Identifies and names a triangle • Identifies and names a square • Identifies and names a cube • Recognizes geometric shapes in real-world objects New Vocabulary: None New Signs and Symbols: None New Vocabulary: corner, flat New Signs and Symbols: None New Vocabulary: None New Signs and Symbols: None 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 10/2/13, 9:32:58 AM © 2006-2013 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 3 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 171 - 180 Statements Last Updated: Sep 23, 2013 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 161 - 170 Skills and Concepts to Develop (50% Probability*) 171 - 180 Skills and Concepts to Introduce (27% Probability*) 181 - 190 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Identifies and names a triangle • Identifies and names a square • Identifies and names a rectangle • Identifies sides and vertices of polygons • Identifies and names a cone • Compares open and closed figures • Sorts solid figures and objects according to attributes • Identifies position of shapes (e.g., inside, outside, between) • Identifies and names a triangle • Identifies and names a square • Identifies and names a cube • Recognizes geometric shapes in real-world objects • Classifies polygons by sides and vertices • Identifies and names a cube • Identifies and names a sphere • Identifies plane figures with line symmetry • Identifies equal parts by using models New Vocabulary: corner, flat New Signs and Symbols: None New Vocabulary: None New Signs and Symbols: None New Vocabulary: fourths, symmetry New Signs and Symbols: None 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 10/2/13, 9:32:58 AM © 2006-2013 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 4 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 181 - 190 Statements Last Updated: Sep 23, 2013 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 171 - 180 Skills and Concepts to Develop (50% Probability*) 181 - 190 Skills and Concepts to Introduce (27% Probability*) 191 - 200 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Identifies and names a triangle • Identifies and names a square • Identifies and names a cube • Recognizes geometric shapes in real-world objects • Classifies polygons by sides and vertices • Identifies and names a cube • Identifies and names a sphere • Identifies plane figures with line symmetry • Identifies equal parts by using models • Determines and names locations in the first quadrant on a labeled grid or coordinate system (e.g., map or graph) • Identifies lines • Identifies parallel lines • Uses models to compare angles relative to right angles • Identifies right angles • Identifies corners (vertices) of cubes • Identifies the number of faces on rectangular prisms • Identifies and names a cylinder • Identifies and names a sphere • Sorts 2-D shapes and objects according to their attributes • Creates a new shape by combining different shapes, or identifies the different shapes that were used to make the original shape • Identifies plane figures with line symmetry • Identifies the number of lines of symmetry in plane figures New Vocabulary: None New Signs and Symbols: None New Vocabulary: fourths, symmetry New Signs and Symbols: None New Vocabulary: face, grid, intersect, large, parallel, vertical line New Signs and Symbols: ( ) ordered pair, point 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 10/2/13, 9:32:58 AM © 2006-2013 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 5 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 191 - 200 Statements Last Updated: Sep 23, 2013 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 181 - 190 Skills and Concepts to Develop (50% Probability*) 191 - 200 Skills and Concepts to Introduce (27% Probability*) 201 - 210 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Classifies polygons by sides and vertices • Identifies and names a cube • Identifies and names a sphere • Identifies plane figures with line symmetry • Identifies equal parts by using models • Determines and names locations in the first quadrant on a labeled grid or coordinate system (e.g., map or graph) • Identifies lines • Identifies parallel lines • Uses models to compare angles relative to right angles • Identifies right angles • Identifies corners (vertices) of cubes • Identifies the number of faces on rectangular prisms • Identifies and names a cylinder • Identifies and names a sphere • Sorts 2-D shapes and objects according to their attributes • Creates a new shape by combining different shapes, or identifies the different shapes that were used to make the original shape • Identifies plane figures with line symmetry • Identifies the number of lines of symmetry in plane figures • Graphs ordered pairs in the first quadrant • Determines and names locations in the first quadrant on a labeled grid or coordinate system (e.g., map or graph) • Determines the distance between horizontal and vertical lines in the first quadrant of a rectangular coordinate system • Determines the distance between points, following grid lines, in the first quadrant on a coordinate graph (as in city blocks) • Locates the origin on a coordinate grid • 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 and names a cylinder • Classifies plane figures by the number of lines of symmetry New Vocabulary: fourths, symmetry New Signs and Symbols: None New Vocabulary: face, grid, intersect, large, parallel, vertical line New Signs and Symbols: ( ) ordered pair, point New Vocabulary: coordinate point, edge, origin, parallel line, regular polygon, trapezoid New Signs and Symbols: ° degrees 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 10/2/13, 9:32:58 AM © 2006-2013 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 6 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 201 - 210 Statements Last Updated: Sep 23, 2013 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 191 - 200 Skills and Concepts to Develop (50% Probability*) 201 - 210 Skills and Concepts to Introduce (27% Probability*) 211 - 220 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Determines and names locations in the first quadrant on a labeled grid or coordinate system (e.g., map or graph) • Identifies lines • Identifies parallel lines • Uses models to compare angles relative to right angles • Identifies right angles • Identifies corners (vertices) of cubes • Identifies the number of faces on rectangular prisms • Identifies and names a cylinder • Identifies and names a sphere • Sorts 2-D shapes and objects according to their attributes • Creates a new shape by combining different shapes, or identifies the different shapes that were used to make the original shape • Identifies plane figures with line symmetry • Identifies the number of lines of symmetry in plane figures • Graphs ordered pairs in the first quadrant • Determines and names locations in the first quadrant on a labeled grid or coordinate system (e.g., map or graph) • Determines the distance between horizontal and vertical lines in the first quadrant of a rectangular coordinate system • Determines the distance between points, following grid lines, in the first quadrant on a coordinate graph (as in city blocks) • Locates the origin on a coordinate grid • 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 and names a cylinder • Classifies plane figures by the number of lines of symmetry • Determines the distance between horizontal and vertical lines in the first quadrant of a rectangular coordinate system • Locates the origin on a coordinate grid • Identifies rays • Identifies perpendicular lines • 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 number of edges on rectangular prisms • Predicts and verifies the effects of combining or subdividing basic shapes New Vocabulary: face, grid, intersect, large, parallel, vertical line New Signs and Symbols: ( ) ordered pair, point New Vocabulary: coordinate point, edge, origin, parallel line, regular polygon, trapezoid New Signs and Symbols: ° degrees New Vocabulary: acute angle, congruent angle, obtuse angle, straight angle New Signs and Symbols: angle, angle marker (arc) 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 10/2/13, 9:32:58 AM © 2006-2013 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 7 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 211 - 220 Statements Last Updated: Sep 23, 2013 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 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Graphs ordered pairs in the first quadrant • Determines and names locations in the first quadrant on a labeled grid or coordinate system (e.g., map or graph) • Determines the distance between horizontal and vertical lines in the first quadrant of a rectangular coordinate system • Determines the distance between points, following grid lines, in the first quadrant on a coordinate graph (as in city blocks) • Locates the origin on a coordinate grid • 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 and names a cylinder • Classifies plane figures by the number of lines of symmetry • Determines the distance between horizontal and vertical lines in the first quadrant of a rectangular coordinate system • Locates the origin on a coordinate grid • Identifies rays • Identifies perpendicular lines • 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 number of edges on rectangular prisms • Predicts and verifies the effects of combining or subdividing basic shapes • Determines coordinates of geometric figures in the first quadrant • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies acute angles • Recognizes the interior angle relationships of triangles • 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 New Vocabulary: coordinate point, edge, origin, parallel line, regular polygon, trapezoid New Signs and Symbols: ° degrees New Vocabulary: acute angle, congruent angle, obtuse angle, straight angle New Signs and Symbols: angle, angle marker (arc) New Vocabulary: None New Signs and Symbols: None 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 10/2/13, 9:32:58 AM © 2006-2013 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 8 of 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 221 - 230 Statements Last Updated: Sep 23, 2013 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 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Determines the distance between horizontal and vertical lines in the first quadrant of a rectangular coordinate system • Locates the origin on a coordinate grid • Identifies rays • Identifies perpendicular lines • 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 number of edges on rectangular prisms • Predicts and verifies the effects of combining or subdividing basic shapes • Determines coordinates of geometric figures in the first quadrant • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies acute angles • Recognizes the interior angle relationships of triangles • 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 • Determines which lines are perpendicular (analysis) • Recognizes the interior angle relationships of triangles • Classifies isosceles triangles • Classifies scalene triangles • Identifies properties of circles • Compares polygons by properties • Identifies properties of quadrilaterals New Vocabulary: acute angle, congruent angle, obtuse angle, straight angle New Signs and Symbols: angle, angle marker (arc) New Vocabulary: None New Signs and Symbols: None New Vocabulary: None New Signs and Symbols: congruent segment symbol 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 10/2/13, 9:32:58 AM © 2006-2013 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 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: 231 - 240 Statements Last Updated: Sep 23, 2013 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*) > 240 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Determines coordinates of geometric figures in the first quadrant • Identifies rays • Determines which lines are perpendicular (analysis) • Identifies acute angles • Recognizes the interior angle relationships of triangles • 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 • Determines which lines are perpendicular (analysis) • Recognizes the interior angle relationships of triangles • Classifies isosceles triangles • Classifies scalene triangles • Identifies properties of circles • Compares polygons by properties • Identifies properties of quadrilaterals • Determines the distance between two points • Classifies polygons by properties • Uses picture representations to identify symmetry of plane figures with respect to a point or line New Vocabulary: None New Signs and Symbols: None New Vocabulary: None New Signs and Symbols: congruent segment symbol New Vocabulary: None New Signs and Symbols: None 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 10/2/13, 9:32:58 AM © 2006-2013 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 10 DesCartes: A Continuum of Learning® Mathematics RIT Score Range: > 240 Statements Last Updated: Sep 23, 2013 Goal: Geometry Skills and Concepts to Enhance (73% Probability*) 231 - 240 Skills and Concepts to Develop (50% Probability*) > 240 Reason with Shapes, Attributes, & Coordinate Plane Reason with Shapes, Attributes, & Coordinate Plane • Determines which lines are perpendicular (analysis) • Recognizes the interior angle relationships of triangles • Classifies isosceles triangles • Classifies scalene triangles • Identifies properties of circles • Compares polygons by properties • Identifies properties of quadrilaterals • Determines the distance between two points • Classifies polygons by properties • Uses picture representations to identify symmetry of plane figures with respect to a point or line New Vocabulary: None New Signs and Symbols: congruent segment symbol New Vocabulary: None New Signs and Symbols: None