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Common Core Learning Standards GRADE 1 Mathematics GEOMETRY Common Core Learning Standards Reason with shapes and their attributes. 1.G.1. Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) ; build and draw shapes to possess defining attributes Concepts Embedded Skills Geometric Attributes Name the defining attributes of two dimensional shapes (closed, number or sides, number of angles, etc) Name non-defining attributes of two-dimensional shapes (color, orientation, size, etc.) Build and draw shapes with specified attributes Vocabulary Explain/ define a closed shape Attribute Shape Closed Side(s) Angle(s) Twodimensional Triangle Circle Square Rectangle Trapezoid Hexagon SAMPLE TASKS See Below Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. I Bill sorted these shapes. Which shape belongs in Bill’s group? Explain why the shape you chose is in the group. II Given 10 shapes, students sort the shapes according to defining attributes. Students should explain what attributes they uses (closed, sides and vertices). Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. III Draw a shape with 3 sides. IV Jed says that shapes cannot have curves. Is he correct? Draw or write to explain. V Which sentence describes these shapes? O They all have 4 sides. O They all have 5 corners. O They all have curves. Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. VI Sue has these shapes How are the shapes alike? How are the shapes different? Name the two shapes. Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Standards Reason with shapes and their attributes. 1.G.2. Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.4 Concepts Embedded Skills Two & Three Dimensional Figures Compare and contrast between two and three dimensional figures Create two dimensional shapes using triangles, squares, rectangles, trapezoids, half-circles and quarter-circles and explain the composition created Create three dimensional shapes using triangles, squares, rectangles, and circles and explain the composition created Name the faces of three dimensional shapes in terms of two dimensional shapes Draw and explain two dimensional figures in terms of sides and angles 4 Students do not need to learn formal names such as “right rectangular prism” Vocabulary Twodimensional Threedimensional Triangle Circle Square Rectangle Trapezoid Hexagon Cube Prism Cone Cylinder Half-circle Quarter-circle SAMPLE TASKS See Sample Tasks Below Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. I Bob has these 2 shapes. Circle the shape he can make? II Name the shape you can make with these two shapes. Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. III Ben made a hexagon from some shapes. How many smaller shapes did he use to make the hexagon? What is the name of the smaller shape he used to make the hexagon? Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. VI Trace two pattern blocks to make this shape. V How are a cube and square alike and different? VI. What two-dimensional shape makes up a cube? VII What two-dimensional shapes make a rectangular prism? __________________________ and __________________________. VIII What two three-dimensional shapes make a sharpened pencil? Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. IX Make a tower using three dimensional shapes and describe what shapes you used. Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Standards Reason with shapes and their attributes. 1.G.3. Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares. Concepts Embedded Skills Introduction to Fractions: Geometric Figures Draw lines to equally divide circles and rectangles into halves and fourths (quarters) Explain the effects of dividing a shape in terms of the size of the divided pieces (ex. The more pieces a shape divided into (the more equal shares formed), the smaller the pieces (the smaller the shares)) Name and label the divided pieces of a shape using the terms halve, fourth (quarter) Describe shares of a divided figure in terms of fourth of, half of and quarter of Explain division of a figure in terms of part and whole Vocabulary Half Half of Quarter Quarter of Fourth Fourth of Divide Equal shares Whole Part Fraction SAMPLE TASKS I Explain what happens to the size of the pieces when you cut a square into 4 equal pieces? II Color the shapes that show equal shares? Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. III Chad drew a picture to show a quarter of a circle. Which shape did Chad draw? Circle it. IV Which shape has a half shaded? Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. V. Ms. Ray bakes a cake for Kate. She cut the cake in half. Draw a line on the cake to show halves. She cut the cake into fourths. Draw one or more lines to show fourths. What is another way to say fourths? Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only.