WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6


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1 May 06 VIRGINIA MATHEMATICS STANDARDS OF LEARNING CORRELATED TO MOVING WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6 NUMBER AND NUMBER SENSE 6.1 The student will identify representations of a given percent and describe orally and in writing the equivalence relationships among fractions, decimals, and percents. 6.2 The student will describe and compare two sets of data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b. 6.3 The student will a. find common multiples and factors, including least common multiple and greatest common factor; 13, 14 SB: 41 to 46, , 13, 4147, 50, SB: 111 to 114, 116, 142, 211 to 213, 221, 222, 231 to 234, 251, 252, 254, 291 to 293, 301 to 305, 483, 531 to , 7, 911, 24, 72 SB: 111 to 114, 116, 123, 128, 129, 131 to 133, , 18, 48 SB: 121, 122, 124 to 127, 1210, 134, 253 SB: 211, 221, 231, 251, 291, 301, , 60, 61 SB: 121, 131, 521, 524, 525 SB: 41 b. identify and describe prime and composite numbers; and 1315, 18 SB: 41 to SB: 42, 43, 253 SB: 41 c. identify and describe the characteristics of even and odd integers. 15, 18, 38 SB: 41, 42, 45 SB: 42, 43 SB: 41
2 6.4 The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols SB: 23, 24 6, 7, 1012, 24, SB: 115, 133, 135, 141, 142, 241 to 244, 511 to , 61 SB: 111, 141, 241, 511, 521, 522, 524, The student will identify, represent, order and compare integers SB: 591 to 594 SB: 431, 591 SB: 591, 592 a. The student will create and solve problems involving addition, subtraction, multiplication, and division of whole numbers, using paper and pencil, estimation, mental computation, and calculators. 49, SB: 451 to , 36, 646 SB: 451 to The student will a. solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and express their answers in simplest form; and b. find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one nonzero digit , 1921, 23, 2831, 33, 34, 36, 54, 55, 5759, 61, 64, 70, 71 SB: 151 to 153, 161 to 164, 171 to 174, 181, 182, 191 to 195, 201 to 205, 261 to 264, 271, 272, 275, 276, 281, 284, 285, 458, 4511, 4512, 4515, 483, 531 to , 62 SB: 281, 282, 284 to 286 SB: 151, 161, 171, 181, 191, 201, 271, 531 SB: 281
3 6.7 The student will use estimation strategies to solve multistep practical problems involving whole numbers, decimals, and fractions (rational numbers). 6.8 The student will solve multistep consumerapplication problems involving fractions and decimals and present data and conclusions in paragraphs, tables, or graphs. Planning a budget will be included , 49, SB: 61 to 63, 71 to 74, 91 to 95, 102 to 104, 106, 451, 455, 457 to 4511, 4513, 4514, 491, 492, 501 to , 55, 56, 65, 66, 70 SB: 61, 71, 81, 91, 101, 183, 184, 261 to 264, 452, 453, 455 to 457, 459, 4510, 4513, 483, 491, 501, 531, SB: 457, 459, SB: 71, 81, 91, 101, 261, 456, 491, 501, 523, 531 MEASUREMENT 6.9 The student will compare and convert units of measure for length, area, weight/mass, and volume within the U.S. Customary system and the metric system and estimate conversions between units in each system: a. length  part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers; 3033, 41, 42 SB: 361 to 367, 383, b. \weight/mass  ounces, pounds, tons, grams, and kilograms; c. liquid volume  cups, pints, quarts, gallons, milliliters, and liters; and 34, 35 SB: 411, , 37 SB: 421, 422, 453 d. area  square units.* 4345, 49, 54 SB: 384, 385, 389, 394
4 *The intent of this standard is for students to make ballpark comparisons and not to memorize conversion factors between U.S. Customary and metric units The student will estimate and then determine length, weight/mss, area, and liquid volume/capacity, using standard and nonstandard units of measure. 38, 39, 49, SB: 385, 391 to 383, 395, 451 to The student will determine if a problem situation involving polygons of four or fewer sides represents the applications of perimeter or area and apply the appropriate formula , 4648, 50, 51 SB: 381 to 383, 386 to 388, to The student will a. solve problems involving the circumference and/or area of a circle when given the diameter or radius; and b. derive approximation for pi from measurements for circumference and diameter, using concrete materials or computer models The student will a. estimate angle measures, using 45 o, 90 o, and 180 o as referents, and use the appropriate tools to measure the given angles; and b. measure and draw right, acute, and obtuse angles and triangles. 14 SB: SB: , SB: 371 to 373, 551 to 553 GEOMETRY
5 6.14 The student will identify, classify, and describe the characteristics of plane figures, describing their similarities, differences, and defining properties The student will determine congruence of segments, angles, and polygons by direct comparison, given their attributes. Example of noncongruent and congruent figures will be included. 37, 38 SB: 4514, 481, , 710, 13, 20, SB: 311, 312, 321 to 325, 331, 341 to 345, 3410, 351, 446, 526, 583, 604, , 1719, 23, 24, 63 SB: 321, 349, 541, 601 to 604, The student will construct the perpendicular bisector of a line segment and an angle bisector The student will sketch, construct models of, and classify solid figures (rectangular prism, cone, cylinder, and pyramid). 11, 12, 55 SB: 346 to 348, 396 PROBABILITY AND STATISTICS 6.18 The student, given a problem situation, will collect, analyze, display, and interpret data in a variety of graphical methods, including a. line, bar, and circle graphs; 61, 62 SB: 465 b. stemandleaf plots; and 61 SB: 465 c. boxandwhisker plots. 61 SB: 465 Circle graphs will be limited to halves, fourths, and eighths. 37, 38 SB: 4514, 481, , 76 SB: 471 to 476, 481 to , 68, 75, 76 SB: 471, 474, 484, , 68, 76 SB: 471, 474, 484, 485
6 6.19 The student will describe the mean, median, and mode as measures of central tendency, describe the range, and determine their meaning for a set of data SB: The student will a. make a sample space for selected experiments and represent it in the form of a list, chart, picture, or tree diagram; and B: 573, 574, 582, 583 b. determine and interpret the probability of an event occurring from a given sample space and represent the probability as a ratio, decimal or percent, as appropriate for the given situation , 78 SB: 571 to 575, 581, 584 PATTERNS, FUNCTIONS, AND ALGEBRA 6.21 The student will investigate, describe, and extend numerical and geometric patterns, including triangular numbers, patterns formed by powers of 10 and arithmetic sequences. 26, 1922, 31, 37, SB: 11 to , 22, 31 to 34, 51 to 58, 81 to 87, 105, 431, 441 to , 63 SB: 11, 21, 31, 51, 52, 102, 273, 274, 283, 287, 431, , 15, 16, 21, 22, The student will investigate and describe concepts of positive exponents, perfect squares, square roots, and for numbers greater than 10, scientific notation. Calculators will be used to develop exponential patterns The student will SB: 44 SB: 41
7 a. model and solve algebraic equations, using concrete materials; 50, 5658, 69, 70 SB: 453, 454, 456, 4515, 4517, 561, 564, 565, 595 to , 35, 36 SB: 451, 454, 458, 4511, b. solve onestep linear equations in one variable, involving whole number coefficients and positive rational solutions; and c. use the following algebraic terms appropriately: variable, coefficient, term, and equation. 50, 55, SB: 452, 4512, 4516, 561 to SB: 173, 174, 457, 459, 4513, , 27
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