Geometry 
3.G: Reason With Shapes And Their Attributes. 
3.G.1  Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. 

3.G.2  Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape. 
4.G: Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles. 
4.G.1  Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. 

4.G.2  Classify twodimensional 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.3  Recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify linesymmetric figures and draw lines of symmetry. 
5.G: Graph Points On The Coordinate Plane To Solve RealWorld And Mathematical Problems. 
5.G.1  Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., xaxis and xcoordinate, yaxis and ycoordinate). 

5.G.2  Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. 
6.G: Solve RealWorld And Mathematical Problems Involving Area, Surface Area, And Volume. 
6.G.1  Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. 
Measurement And Data 
3.MD: Geometric Measurement: Understand Concepts Of Area And Relate Area To Multiplication And To Addition. 
3.MD.5  Recognize area as an attribute of plane figures and understand concepts of area measurement. 

3.MD.5.a  A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area. 
4.MD: Geometric Measurement: Understand Concepts Of Angle And Measure Angles. 
4.MD.5  Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: 
Solve Problems Involving Measurement And Conversion Of Measurements From A Larger Unit To A Smaller Unit. 
4.MD.3  Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. 
5.MD: Geometric Measurement: Understand Concepts Of Volume And Relate Volume To Multiplication And To Addition. 
5.MD.3  Recognize volume as an attribute of solid figures and understand concepts of volume measurement. 

5.MD.3.a  A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume. 

5.MD.4  Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. 