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CCRStandardsAdultEd

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5. THE RESULTS: COLLEGE AND CAREER READINESS STANDARDS FOR MATHEMATICS 57<br />

MATHEMATICS STANDARDS<br />

Multiply and divide within 100.<br />

Fluently multiply and divide within 100, using strategies such as the relationship between<br />

multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of<br />

operations. Know from memory all products of two one-digit numbers. (3.OA.7)<br />

Solve problems involving the four operations, and identify and explain patterns in<br />

arithmetic.<br />

Solve two-step word problems using the four operations. Represent these problems using equations<br />

with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental<br />

computation and estimation strategies including rounding. 16 (3.OA.8)<br />

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and<br />

explain them using properties of operations. For example, observe that 4 times a number is always<br />

even, and explain why 4 times a number can be decomposed into two equal addends. (3.OA.9)<br />

Geometry<br />

Reason with shapes and their attributes.<br />

Recognize and draw shapes having specified attributes, such as a given number of angles or a given<br />

number of equal faces. 17 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. (2.G.1)<br />

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words<br />

halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths.<br />

Recognize that equal shares of identical wholes need not have the same shape. (2.G.3)<br />

Reason with shapes and their attributes.<br />

Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share<br />

attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g.,<br />

quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw<br />

examples of quadrilaterals that do not belong to any of these subcategories. (3.G.1)<br />

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the<br />

whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part<br />

as 1/4 of the area of the shape. (3.G.2)<br />

Measurement and Data<br />

Measure and estimate lengths in standard units.<br />

Measure the length of an object twice, using length units of different lengths for the two<br />

16 This standard is limited to problems posed with whole numbers having whole-number answers; students should know how to<br />

perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).<br />

17 Sizes are compared directly or visually, not compared by measuring.

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