1

 

Houghton Mifflin Harcourt Math Expressions, Grade 6 ©2012

correlated to the

New York City Department of Education Core Curriculum Program Emphases in Common Core Standards for Mathematical Content

Grade 6

Standard Descriptor Citations Major Ratios and Proportional Relationships • Understand ratio concepts and use ratio reasoning to solve

problems.

SAB: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 200, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 312

TE: 2–8, 9–10, 12–16, 17–18, 20–26, 27–28, 30–32, 33–34, 36–38, 39–40, 42–50, 51–52, 54–58, 59–60, 62–64, 65–66, 68–72, 73–74, 76–80, 81–82, 84–90, 91–92, 94–98, 99, 100, 102–104, 105–106, 108, 109–110, 112–114, 115–116, 666–672, 673–674, 676–684, 685–686, 688–692, 693–694, 696–698, 699–700, 702–706, 707–708, 710–714, 715–716, 718–720, 721–722, 724–730, 731–732, 734–740, 741–742, 744–750, 751–752, 754–756, 757–758, 760–766, 767–768, 760–766, 767–768, 770–776, 777–778, 780–782, 783–784

The Number System • Apply and extend previous understandings of numbers to the

system of rational numbers.

SAB: 363, 364, 365, 366, 366A, 366B, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 376A, 376B, 377, 378, 379, 380, 381

TE: 896–898, 899–900, 902–908, 909–910, 912–920, 924–932, 933–934, 936–942, 946–950, 951–952, 954–962, 963–964, 966–968

• Apply and extend previous understandings of multiplication and

division to divide fractions by fractions.

SAB: 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 129, 130, 131, 132, 133, 134

TE: 302–306, 307–308, 310–314, 315–316, 318–322, 326–330, 331–332, 334–338, 339–340, 342–346, 350–352, 353–354

Houghton Mifflin Harcourt Math Expressions, Grade 6 ©2012 correlated to the New York City Department of Education Core Curriculum Program for Mathematical Content, Grade 6

 

2  

Standard Descriptor Citations Major Expressions and Equations • Apply and extend previous understandings of arithmetic to

algebraic expressions.

SAB: 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199

TE: 418–422, 423–424, 426–432, 433–434, 436–442, 443–444, 446–452, 453–454, 456–462, 463–464, 466–474, 475–476, 478–488, 489–490, 492–500, 501–502, 504–510, 511–512, 648

• Reason about and solve one-variable equations and inequalities.

SAB: 203, 204, 205, 206, 207, 208, 209, 210, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 259, 261, 262

TE: 514–520, 524–532, 533–534, 536–542, 543–544, 546–550, 551–552, 554–562, 563–564, 566–572, 573–574, 576–582, 583–584, 586–594, 595–596, 598–600, 601–602, 649

• Represent and analyze quantitative relationships between dependent

and independent variables.

SAB: 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 225, 226, 227, 228, 237, 238

TE: 524–532, 533–534, 536–542, 543–544, 546–550, 551–552, 566–572, 573–574, 598–600, 601–602

Supporting Geometry • Solve real‐world and mathematical problems involving area,

surface area, and volume.

SAB: 43, 44, 45, 46, 47, 48, 49, 50, 51, 51A, 52, 53, 54, 55A, 55, 56, 57, 58, 59, 60, 61, 62, 63C, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 143, 144, 145, 146, 147, 148, 149A, 149C, 151, 152, 155, 156, 158

TE: 124–128, 129–130, 132–136, 137–138, 140–146, 147–148, 150–154, 155–156, 158–162, 163–164, 166–160, 171–172, 174–178, 179–180, 182–184, 175–186, 188–194, 195–196, 198–200, 201–202, 366–374, 375–376, 378–379, 383–384, 386, 388–390, 391–392, 394, 400, 402–404, 405–406, 409, 411

Houghton Mifflin Harcourt Math Expressions, Grade 6 ©2012 correlated to the New York City Department of Education Core Curriculum Program for Mathematical Content, Grade 6

 

3  

 

Standard Descriptor Citations Additional Statistics and Probability • Develop understanding of statistical variability.

SAB: 319, 320, 321, 322, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 353

TE: 792–796, 797–798, 810–814, 815–816, 818–820, 821–822, 824–828, 829–830, 832–838, 839–840, 842–848, 849–850, 876, 879–880, 881–882, 884, 886

• Summarize and describe distributions.

SAB: 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353

TE: 792–796, 797–798, 799–806, 807–808, 810–814, 815–816, 832–838, 842–848, 849–850, 852–858, 859–860

The Number System • Compute fluently with multi-digit numbers and find common

factors and multiples.

SAB: 87, 88, 89, 90, 93, 94, 95, 96, 97, 98, 102, 105, 109, 110, 111, 112, 117, 118, 119, 120, 131, 132, 133, 134, 137, 138

TE: 222–226, 227–228, 230–236, 237–238, 240–246, 247–248, 250–254, 255–256, 262, 264, 265–266, 271, 282–286, 287–288, 290–298, 299–300, 302–306, 307–308, 342–348, 349–350, 356–358, 359–360