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Develop an understanding that geometric shapes have relationships and properties.
Plane and solid figures will be composed and decomposed to understand part-whole relationships and properties.
(i.e. by putting 2 congruent isosceles triangles together to make a rhombus.)
Attributes and properties of geometric shapes will be described and compared.
2-D shapes will be manipulated to develop an initial understanding of congruence and symmetry.
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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. |
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. |
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. |
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Math Their Way- Center for Innovation in Education/Addison-Wesley
Box It and Bag It-The Math Learning Center
Daily Word Problems- Grade 1 Math/ Evan Moor Publications
Vocabulary – Specialized and High Frequency
Circle, half-circle, quarter circle, square, triangle, rectangle, trapezoid, pattern blocks, reflections, polydrons, attributes, properties, geometric shapes, cube, right rectangular prism, right circular cone, right circular cylinder, two-dimensional shapes, three-dimensional composite shape, congruent, symmetry, halves, fourths, quarters, half-of, fourth-of, quarter-of, equal shares, smaller shares, size, describe, analyze, compare
Misconception Alerts
A square is not a rectangle. In fact, a square is a rectangle with equal sides.
The word diamond is not a mathematical term. The geometric shape resembling a diamond is called a rhombus.
Common Core State Standards: Standards for Mathematical Practice
Standard 1: Make sense of problems and persevere in solving them
Standard 2: Reason abstractly and quantitatively
Standard 3: Construct viable arguments and critique the reasoning of others
Standard 4: Model with Mathematics
Standard 5: Use appropriate tools strategically
Standard 6: Attend to precision
Standard 7: Look for and make use of structure
Standard 8: Look for and express regularity in repeated reasoning