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3.G.1: understand shapes and attributes (rhombuses, rectangles, and squares as quadrilaterals)

3.G. 2: express area as unit fraction of the whole

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3.MD.8: finding perimeter of polygons, finding missing side lengths, relationship between area and perimeter

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3.MD.5, 6, 7: area as attribute of plane figures, understanding area measurement, and counting unit squares.

Relating area to operations of multiplication and addition

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2.G.1- Recognize and draw shapes.
2.G.2- Partition a rectangle into rows and columns of same-size squares and count them
2.G.3- Partition circles into equal shares (halves, thirds, half of.., a third of..., etc.), and describe the whole as two halves three thirds, four fourth. Recognize that equal shares of identical wholes need not have the same shape.

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4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures
4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category and identify right triangles
4.G.2: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parents.

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Geometry: analyze, compare, create, and compose shapes
K.G.4- analyze and compare two and three-dimensional shapes, in different sizes and orientations, differences, parts (ex: number of sides and "corners") and other attributes (ex: all sides equal length)
K.G.5 - model shapes in the world by building shapes from components and drawing shapes
K.G.6 - compose simple shapes to form larger shapes

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1.G. 1:Recognizing the difference between the shapes (properties) and being able to visualize the shapes in different forms (rotation, size, color).
2. Able to draw 2-Dimensional and 3-Dimensional shapes. They can recognize the other shapes within the 3-Dimensional figures.
3. Partition circles and rectangles into equal shares (halves and fourths)

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2.MD.1: Measuring the length of an object using the appropriate tools (ruler, meter stick, etc.)
2.MD.2: Measure the same length with different tools
2.MD.3: estimate length
2.MD.4: Compare lengths and different length unit

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5.G.1: define a coordinate system, and understand the axes, the origin, the coordinates, and points in the system
5.G.2: be able to graph and interpret points in first quadrants of coordinate plane
5.G.3: understand that properties of a two-dimensional shape are the same for the subcategory of a category
5.G.4: classify 2D figures in a hierarchy

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4.MD.3: Apply the area and perimeter for rectangles in real world and mathematical problems
4.MD.5: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concept angle measurement.
4.MD.6: Measure angles in whole-number degrees using a protractor. Sketch angles of specific measure

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Geometry: identify and describe shapes
K.G.1 - describe objects in the environment using names of shapes, and describe the relative positions (ex: above, below, beside)
K.G.1 -correctly name shapes regardless of their orientations or overall size
K.G.3 - identify shapes as two-dimensional ("flat") or three-dimensional ("solid")

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5.MD.3: understand volume, understand a unit cube can be used to measure volume
5.MD.4: measure volumes
5.MD.5: relate volume to multiplication and addition, apply formulas,

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Operations and Algebraic Formulas 4th grade

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Operations and Algebraic Formulas 4th grade

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4.OA.5: Generate a number or shape pattern that follows a given rule. Identify apparent feature of the pattern that were not explicit in the rule itself

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5.MD.1: be able to convert between units in a measurement system, and be able to use these conversions to solve problems