CCRStandardsAdultEd
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5. THE RESULTS: COLLEGE AND CAREER READINESS STANDARDS FOR MATHEMATICS 67<br />
MATHEMATICS STANDARDS<br />
Geometry<br />
Draw and identify lines and angles, and classify shapes by properties of their lines and<br />
angles.<br />
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.<br />
Identify these in two-dimensional figures. (4.G.1)<br />
Graph points on the coordinate plane to solve real-world and mathematical problems.<br />
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection<br />
of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located<br />
by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates<br />
how far to travel from the origin in the direction of one axis, and the second number indicates how far to<br />
travel in the direction of the second axis, with the convention that the names of the two axes and the<br />
coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). (5.G.1)<br />
Represent real world and mathematical problems by graphing points in the first quadrant of the<br />
coordinate plane, and interpret coordinate values of points in the context of the situation. (5.G.2)<br />
Classify two-dimensional figures into categories based on their properties.<br />
Understand that attributes belonging to a category of two-dimensional figures also belong to all<br />
subcategories of that category. For example, all rectangles have four right angles and squares are<br />
rectangles, so all squares have four right angles. (5.G.3)<br />
Solve real-world and mathematical problems involving area, surface area, and volume.<br />
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into<br />
rectangles or decomposing into triangles and other shapes; apply these techniques in the context of<br />
solving real-world and mathematical problems. (6.G.1)<br />
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the<br />
length of a side joining points with the same first coordinate or the same second coordinate. Apply these<br />
techniques in the context of solving real-world and mathematical problems. (6.G.3)<br />
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to<br />
find the surface area of these figures. Apply these techniques in the context of solving real-world and<br />
mathematical problems. (6.G.4)<br />
Measurement and Data<br />
Solve problems involving measurement and conversion of measurements from a larger unit<br />
to a smaller unit.<br />
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes,<br />
masses of objects, and money, including problems involving simple fractions or decimals, and problems