Download Common Core Learning Standards GRADE 1 Mathematics

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
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Explain/ define a closed shape
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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
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Students do not need to learn formal names
such as “right rectangular prism”
Vocabulary
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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
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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.