Formative Instructional and Assessment Tasks G Task 1a Domain Cluster Standard(s) Materials Task Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.1 Describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. K.G.2 Correctly name shapes regardless of their orientations or overall size. BLM, cone, sphere, bag 1. Cut out each shape creating shape cards. Show each shape or shape card one at a time to the student. Ask the student to name the shape. (circle, square, rectangle, hexagon, cone, sphere) 2. Spread the shape cards and shapes out on a table. Place the empty bag on the table. Say, I have a bag and some shapes. I am going to give you some directions about where to place the different shapes around the bag. a. Put the cone above the bag. b. Put the square beside the bag. c. Put the circle inside the bag. d. Put the rectangle behind the bag. e. Put the hexagon in front of the bag. f. Put the sphere below the bag. Developing Understanding Complete Understanding Continuum of Understanding Names one or more of the shapes incorrectly. Identifies one or more incorrectly. Places one or more of the shapes in the incorrect position. Names all of the shapes correctly. Identifies all of the shapes correctly. Places all shapes in the correct position. Correctly names shapes: Square Cone Circle Sphere Rectangle Hexagon Correctly identifies shapes: Square Cone Circle Sphere Rectangle Hexagon Knows positional vocabulary: above behind below next to beside in front of 1. 2. 3. 4. 5. 6. 7. 8. Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN KG Task 1a BLACKLINE MASTER Formative Instructional and Assessment Tasks NC DEPARTMENT OF PUBLIC INSTRUCTION Name ____________________________________ KINDERGARTEN Formative Instructional and Assessment Tasks G Task 1b Domain Cluster Standard(s) Materials Task Developing Understanding Complete Understanding 1. 2. 3. 4. 5. 6. 7. 8. Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.1 Describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. K.G.2 Correctly name shapes regardless of their orientations or overall size. Use shapes from BLM KG 1a - cylinder, cube, bag 3. Cut out each shape creating shape cards. Show each shape card and shape one at a time to the student. Ask the student to name the shape (square, circle, rectangle, hexagon, cube, cylinder). 4. Spread the shape cards and the shapes out on a table. Place the empty bag on the table. Say, I have a bag and some shapes. I am going to give you some directions about where to place the different shapes around the bag. g. Put the cylinder above the bag. h. Put the circle beside the bag. i. Put the square inside the bag. j. Put the rectangle behind the bag. k. Put the triangle in front of the bag. l. Put the cube below the bag. Continuum of Understanding Names one or more of the shapes incorrectly. Identifies one or more incorrectly. Places one or more of the shapes in the incorrect position. Names all of the shapes correctly. Identifies all of the shapes correctly. Places all shapes in the correct position. Correctly names shapes: Square Cube Circle Cylinder Rectangle Hexagon Correctly identifies shapes: Square Cube Circle Cylinder Rectangle Hexagon Knows positional vocabulary: above behind below next to beside in front of Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN Formative Instructional and Assessment Tasks G Task 2a Domain Cluster Standard(s) Materials Task Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.2 Correctly name shapes regardless of their orientations or overall size. Use triangle from BLM KG 1a, cylinder (e.g., juice can, pencil can, 3D model) 2. Hand the student a triangle. Ask: What is this shape? Why do you think that this shape is a “use student word”? 3. Developing Understanding Complete Understanding Hand the student a cylinder. Ask: What is this shape? Why do you think that this shape is a “use student word”? Continuum of Understanding Uses non-geometric attributes to describe/justify shapes (e.g., color, size, texture, etc.). Names one, but not both, of the shapes. Correctly identifies the triangle and the cube. Uses geometric attributes to describe/justify shapes (e.g., number of sides, number of edges, and number of corners). Describes the shapes using geometric attributes: Number of sides Number of angles Number of edges Number of faces Identifies shapes Triangle Cylinder 1. 2. 3. 4. 5. 6. 7. 8. Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN Formative Instructional and Assessment Tasks G Task 2b Domain Cluster Standard(s) Materials Task Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.1 Describe objects in the environment using names of shapes. Use square from BLM KG 1, cube (e.g., die, sugar cube, 3D model) 4. Hand the student a square. Ask: What is this shape? Why do you think that this shape is a “use student word”? 5. Developing Understanding Complete Understanding Hand the student a cube. Ask: What is this shape? Why do you think that this shape is a “use student word”? Continuum of Understanding Uses non-geometric attributes to describe/justify shapes (e.g., color, size, texture, etc.) Names one, but not both, of the shapes. Correctly identifies the triangle and the cube. Uses geometric attributes to describe/justify shapes (e.g., number of sides, number of edges, number of corners, etc.) Describes the shapes using geometric attributes: Number of sides Number of angles Number of edges Number of faces Identifies shapes Square Cube 1. 2. 3. 4. 5. 6. 7. 8. Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN Formative Instructional and Assessment Tasks G Task 3a Domain Cluster Standard(s) Materials Task Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.2 Correctly name shapes regardless of their orientations or overall size. BLM Show BLM. Point to each shape and ask the student to name each shape. Developing Understanding Continuum of Understanding Names some, but not all, of the shapes. Names regular shapes, but is not able to name irregular shapes or shapes in atypical orientations. Complete Understanding Names all of the shapes, regardless of the position or orientation. 1. 2. 3. 4. 5. 6. 7. 8. Identifies shapes: square circle triangle rectangle hexagon sphere cylinder cone cube Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN KG Task 3a BLACKLINE MASTER Formative Instructional and Assessment Tasks NC DEPARTMENT OF PUBLIC INSTRUCTION Name ____________________________________ KINDERGARTEN Formative Instructional and Assessment Tasks G Task 3b Domain Cluster Standard(s) Materials Task Developing Understanding Complete Understanding 1. 2. 3. 4. 5. 6. 7. 8. Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.2 Correctly name shapes regardless of their orientations or overall size. BLM Show BLM. Point to each shape and ask the student to name each shape. Continuum of Understanding Names some, but not all, of the shapes. Names regular shapes, but is not able to name irregular shapes or shapes in atypical orientations. Names all of the shapes, regardless of the position or orientation. Identifies shapes: square circle triangle rectangle hexagon sphere cylinder cone cube Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN KG Task 3b BLACKLINE MASTER Formative Instructional and Assessment Tasks NC DEPARTMENT OF PUBLIC INSTRUCTION Name ____________________________________ KINDERGARTEN Formative Instructional and Assessment Tasks G Task 4 Domain Cluster Standard(s) Materials Task Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). Analyze, compare, create, and compose shapes. K.G.3 Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”). K.G.4 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length). Geometric shapes: square, circle, triangle, rectangle, hexagon, cube, cone, cylinder, and sphere Show the student a collection of two-dimensional and three-dimensional shapes (square, circle, triangle, rectangle, hexagon, cube, cone, and cylinder). Say: Put all of the flat, two-dimensional shapes together in a pile and all of the three-dimensional shapes together in a different pile. Pull out the student a triangle and a rectangle. Remove the other shapes. Ask: How are these shapes alike? How are they different? Repeat with a circle and a cylinder; cube and a square. Developing Understanding Complete Understanding 1. 2. 3. 4. 5. 6. 7. 8. Continuum of Understanding Incorrectly identifies one or more 2-D shapes. Incorrectly identifies one or more 3-D shapes. Provides limited explanation regarding how the pairs of shapes are alike or different. Uses non-geometric attributes during the explanation. Identifies all of the 2-D and 3-D shapes. Describes how each pair of shapes is alike and different using geometric attributes. Identifies shapes square circle triangle rectangle hexagon sphere cylinder cone cube Described Geometric Attributes: _____ Number of sides _____ Number of angles _____ Number of edges _____ Number of faces Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN Formative Instructional and Assessment Tasks G Task 5 Domain Cluster Standard(s) Materials Task Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). Analyze, compare, create, and compose shapes. K.G.2 Correctly name shapes regardless of their orientations or overall size. K.G.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. Geometric shapes (square, triangle, rectangle, cube, cylinder, and sphere); Drawing materials (e.g., pencil/paper; marker/paper; dry erase board & marker); Modeling materials (e.g., modeling clay, playdoh, craft sticks, toothpicks) 1. Show the student a triangle. Ask: What is the name of this shape? How do you know that this is a triangle? Then, ask the student to draw the shape. Repeat with a rectangle and a square. 2. Show the student the cube. Ask: What is the name of this shape? How do you know that this is a cube? Then, ask the student to build a cube using materials provided. Repeat with a sphere and cylinder. Continuum of Understanding Developing Understanding Complete Understanding Incorrectly identifies one or more of the 2-D shapes. Incorrectly identifies one or more of the 3-D shapes. Draws some of the 2-D shapes, but not all. Builds some of the 3-D shapes, but not all. Uses non-geometric attributes during the explanation. Correctly identifies all 2-D and 3-D shapes. Draws* all three 2-D shapes with accurate representation of critical geometric attributes. Builds* all three 3-D shapes with accurate representation of critical geometric attributes. Describes each shape using geometric attributes. Correctly Identifies: _____ square _____ triangle _____ rectangle _____ cube _____ sphere _____ cylinder Is able to draw: _____ square _____ rectangle _____ triangle Is able to build: _____ cube _____ cylinder _____ sphere Described Geometric Attributes: Number of sides Number of angles Number of edges Number of faces *NOTE: Due varied fine motor development, the shapes may not look exactly like they would as if an adult created them. However, it is expected that they accurately display the critical measureable attributes (number of sides, angles, faces). 1. 2. 3. 4. 5. 6. 7. 8. Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN Formative Instructional and Assessment Tasks G Task 6 Domain Cluster Standard(s) Geometry Analyze, compare, create, and compose shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.6 Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?” Materials BLM (2 rectangles) Task Give the student 2 rectangles. Say: Join these two rectangles to make a square. When the student is finished, ask: How do you know that this new shape is a square? Developing Understanding Complete Understanding 1. 2. 3. 4. 5. 6. 7. 8. Continuum of Understanding Attempts to join the rectangles to make a square but is unsuccessful. Creates a shape, but is unable to accurately explain why the new shape is a square. Uses non-geometric attributes during the explanation. Joins the rectangles to make a square. Accurately explains why the new shape is a square. Describes each shape using geometric attributes. Provides attributes of square: 4 sides 4 sides of equal length 4 corners (angles) 4 corners are same size. 4 corners are square (right) corners. Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION KINDERGARTEN KG Task 6 BLACKLINE MASTER Formative Instructional and Assessment Tasks NC DEPARTMENT OF PUBLIC INSTRUCTION Name ____________________________________ KINDERGARTEN
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