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1 A Correlation of to the Grades K - 6 G/M-223

4 to the Grade-level Expectations NUMBER AND OPERATIONS Kindergarten 1. Understand numbers, ways of representing numbers, relationships among numbers and number systems A. Read, write and compare numbers rote counts to 100 SE/TE: 53A-B, 53-54, 55A-B, 55-56, 57A-B, 57-58, 59A-B, 59-60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 73-74, 75I, 77A-B, 77-78, 79A-B, 79-80, 81A-B, 81-82, 83A-B, 83-84, 85A-B, 85-86, 97, , 101I-J, 103A-B, , 105A-B, , 107A-B, , 109A-B, , 111A-B, , , 115A-B, , 117A-B, , 121A-B, , 127A-B, , , 285I-J, 285K-L, 287A-B, , 289A-B, , 291A-B, , 293A-B, , 295A-B, , 297A-B, , 299A-B, , 301, 302 C. Compose and Decompose numbers connect number words (orally) and quantities they represent SE/TE: 53A-B, 53-54, 55A-B, 55-56, 57A-B, 57-58, 59A-B, 59-60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 73-74, 75I, 77A-B, 77-78, 79A-B, 79-80, 81A-B, 81-82, 83A-B, 83-84, 85A-B, 85-86, 97, , 101I-J, 103A-B, , 105A-B, , 107A-B, , 109A-B, , 111A-B, , , 115A-B, , 117A-B, , 121A-B, , 127A-B, , , 285I-J, 285K-L, 287A-B, , 289A-B, , 291A-B, , 293A-B, , 295A-B, , 297A-B, , 299A-B, , 301, 302; number words spelled out (in letters) in the SE: 55, 59, 61, 81, 85, 105, 107, 109, Compute fluently and make reasonable estimates A. Describe or represent mental strategies recognize numerals up to 31 SE/TE: 51K-L, 53A-B, 53-54, 55A-B, 55-56, 57A-B, 57-58, 59A-B, 59-60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 73-74, 75I, 75K-L, 77A-B, 77-78, 79A-B, 79-80, 81A-B, 81-82, 83A-B, 83-84, 85A-B, 85-86, 97, , 101I-J, 101K-L, 103A-B, 103- Kindergarten 1

5 104, 105A-B, , 107A-B, , 109A-B, , 111A-B, , , 115A-B, , 117A-B, , 121A-B, , 127A-B, , , 285I-J, 285K-L, 287A-B, , 289A-B, , 291A-B, , 293A-B, , 295A-B, , 297A-B, , 299A-B, , 301, 302 ALGEBRAIC RELATIONSHIPS 1. Understand patterns, relations and functions A. Recognize and extend patterns recognize or repeat sequences of sounds or shapes SE/TE: 25J, 25L, 35A-B, 35-36, 37A-B, 37-38, 39A-B, 39-40, 41A-B, 41-42, 43A-B, 43-44, 45A-B, 45-46, 48, 50, 297A-B, B. Create and analyze patterns create and continue patterns SE/TE: 25J, 25L, 35A-B, 35-36, 37A-B, 37-38, 39A-B, 39-40, 41A-B, 41-42, 43A-B, 43-44, 45A-B, 45-46, 48, 50, 95A-B, 95-96, 123A-B, , 293A-B, , 295A-B, , 297A-B, , 299A-B, , 301, 302 C. Classify objects and representations sort objects by size SE/TE: 133A-B, , 135A-B, , 137A-B, , 145A-B, , 149A-B, Use mathematical models to represent and understand quantitative relationships A. Use mathematical models model situations that involve whole numbers, using pictures, objects or symbols SE/TE: 223I-J, 223K-L, 225A-B, , 227A-B, , 229A-B, , 231A- B, , 233A-B, , 235A-B, , 237A-B, , 239A-B, , , 243I, 245A-B, , 247A-B, , 249A-B, , 251A-B, , 253A-B, , 255A-B, , 257A-B, , , 263I, 263K-L, 265A-B, , 267A-B, , 269A-B, , 271A-B, , 273A-B, A-B, , 277A-B, , 279A-B, , 281A-B, , Kindergarten 2

6 GEOMETRIC AND SPATIAL RELATIONSHIPS 1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships A. Describe and use geometric relationships sort 2- and 3-dimensional shapes using physical models (circle, rectangle, triangle, sphere, rectangular prism, cylinder, pyramid) SE/TE: 1J, 1K-L, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 24, 195I, 197A-B, , 199A-B, , 201A-B, , 203A-B, , 205A-B, , 209A- B, , 211A-B, Specify locations and describe spatial relationships using coordinate geometry and other representational systems A. Use coordinate systems describe, name and interpret relative positions in space (above, below, front, behind) SE/TE: 1K-L, 3A-B, 3-4, 5A-B, 5-6, 7A-B, 7-8, 9A-B, 9-10, 21A-B, 21-22, 23, 195J, 207A-B, Use visualization, spatial reasoning and geometric modeling to solve problems A. Recognize and draw three-dimensional representations recognize geometric shapes in the student s environment (stop sign, number cube, ball) SE/TE: 195K-L, 197A-B, , 219A-B, Kindergarten 3

7 MEASUREMENT 1. Understand measurable attributes of objects and the units, systems and processes of measurement A. Determine unit of measurement compare and order objects according to their size or weight SE/TE: 131I-J, 131K-L, 133A-B, , 135A-B, , 137A-B, , 145A- B, , 149A-B, , 155A-B, , C. Tell and use units of time describe passage of time using terms such as today, yesterday, tomorrow SE/TE: 159I-J, 159K-L, 161A-B, , 163A-B, , 165A-B, , 167A- B, , 169A-B, , 171A-B, , 173A-B, , 175A-B, , 177A-B, , 191A-B, 191, 193 D. Count and compute money identify and know the value of a penny, nickel and dime SE/TE: 159K-L, 179A-B, , 181A-B, , 183A-B, , 185A-B, , 187A-B, , 189A-B, , 192, , 243J, 257A-B, , 263J, 277A-B, , 287B 2. Apply appropriate techniques, tools and formulas to determine measurements A. Use standard or non-standard measurement measure with multiple copies of a unit of the same size (e. g., paper clips laid end to end) SE/TE: 139A-B, , 141A-B, , 143A-B, , 147A-B, , 151A-B, , 158 DATA AND PROBABILITY 1. Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them A. Formulate questions pose questions and gather data about themselves and their surroundings SE/TE: 47A-B, 125A-B, Kindergarten 4

8 B. Classify and organize data sort items according to their attributes SE/TE: 1I-J, 1K-L, 1N, 11A-B, 11-12, 13A-B, 13-14, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 24, 25K71A-B, 71-72, 259A-B, 281A-B C. Represent and interpret data represent data using physical objects SE/TE: 25K, 27A-B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33A-B, 33-34, 47A-B, 47, 49, 67A-B, Kindergarten 5

9 to the Grade-level Expectations NUMBER AND OPERATIONS Grade One 1. Understand numbers, ways of representing numbers, relationships among numbers and number systems A. Read, write and compare numbers recognizes how many in a set of objects SE/TE: R1-R8, 1K-L, 3A-B, 3-4, 5A-B, 5-6, 7A-B, 7-8, 9A-B, 9-10, 11-12, 13A-B, 13-14, 15, 16, 17A-B, 17-18, 19A-B, 19-20, 41, 241A-B, 243A-B, , 247A-B, , 249A-B, , 253, 272, 281A-B, , 283A-B, , 285A, , 287A, , 291A-B, , 303B, , , 319B, , 328B C. Compose and Decompose numbers compose or decompose numbers using known facts, doubles and close to doubles SE/TE: 89I-J, 91A-B, 91-92, 93A-B, 93-94, 95A-B, 95-96, 97A-B, 97-98, 99A-B, , 101, 102, 103A-B, , 105A-B, , 107A-B, , , 111A-B, , 113A-B, , 115, 116, 123I-J, 123K-L, 125A-B, , 127A-B, , 129A-B, , , 133A-B, , 135, 136, 137A-B, , 139A-B, , 141A-B, , 143A-B, , 145A-B, , 147, 148, 149, 150, 151, 152, , 154A-B, 417A-B, , 419A-B, , 421A-B, , 423A-B, , 425A-B, , 427A-B, , 433, 434, 435A-B, , 437A-B, , 439A-B, , 441A-B, , 443A-B, , 449, Understand meanings of operations and how they relate to one another A. Represent Operations represent a given situation involving addition SE/TE: 43I, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A-B, 53-54, 55-56, 57A-B, 57-58, 59, 60, 79B, 79, 82, 83, 87-88, 88A-B, 89I-J, 91A-B, 91-92, Grade One 6

10 93A-B, 93-94, 95A-B, 95-96, 97A-B, 97-98, 99A-B, , 101, 102, 103A-B, , 105A-B, , 107A-B, , , 111A-B, , 113A-B, , 115, 116, 149, 150, 151, 152, , 154A-B, Compute fluently and make reasonable estimates A. Describe or represent mental strategies describe or represent the mental strategy used to compute an addition problem SE/TE: 89I-J, 91A-B, 91-92, 93A-B, 93-94, 95A-B, 95-96, 97A-B, 97-98, 101, 102, 103A-B, , 105A-B, , 107A-B, , , 111A-B, , 113A-B, , 115, 116, 149, 150, 151, 152, , 154A-B, 417A-B, , 419A-B, , 421A-B, , 423A-B, , 425A-B, , 427A-B, , 433, 434, 435A-B, , 437A-B, , 439A-B, B. Develop and demonstrate fluency develop fluency with basic number relationships of addition and subtraction for sums up to 20 SE/TE: 89I-J, 91A-B, 91-92, 93A-B, 93-94, 95A-B, 95-96, 97A-B, 97-98, 99A-B, , 101, 102, 103A-B, , 105A-B, , 107A-B, , , 111A-B, , 113A-B, , 115, 116, 123I-J, 123K-L, 125A-B, , 127A-B, , 129A-B, , , 133A-B, , 135, 136, 137A-B, , 139A-B, , 141A-B, , 143A-B, , 145A-B, , 147, 148, 149, 150, 151, 152, , 154A-B, 180, 196, 218, 232, 238A-B, 254, 272, 294, 295B, 328B, 415J, 415, 417A-B, , 419A-B, , 421A-B, , 423A-B, , 425A-B, , 427A-B, , 433, 434, 435A-B, , 437A-B, , 439A-B, , 441A-B, , 443A-B, , 449, 450, , 470 ALGEBRAIC RELATIONSHIPS 1. Understand patterns, relations and functions A. Recognize and extend patterns extend patterns of sound, shape, motion or a simple numeric pattern SE/TE: 1I, R11-R14, 27A-B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33A-B, 33-34, 35, 36, 37, 42, 154A, , 255A-B, , 257A-B, , , 261A-B, , 266, 269A-B, , 271, 273, 274, 275, , 304 Grade One 7

11 B. Create and analyze patterns describe how simple repeating patterns are generated SE/TE: 1I, R11-R14, 27A-B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33A-B, 33-34, 35, 36, 42, 154A C. Classify objects and representations classify objects by size or number SE/TE: 155I, 169A-B, , 238B, 307A-B, , 321, 363I, 371B, , 387B, , Represent and analyze mathematical situations and structures using algebraic symbols A. Represent mathematical situations represent a mathematical situation as an expression or number sentence SE/TE: 43I, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A-B, 53-54, 55-56, 57A-B, 57-58, 59, 60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 67A-B, 67-68, 69A-B, 69-70, 71A-B, 71-72, 73, 74, 75A-B, 75-76, 77A-B, 77-78, 79A-B, 79-80, 81, 82, 83, 85, 87-88, 88A-B, 89I-J, 91A-B, 91-92, 93A-B, 93-94, 95A-B, 95-96, 97A- B, 97-98, , 101, 102, 103A-B, , 105A-B, , 107A-B, , , 111A-B, , 113A-B, , 115, 116, 123I-J, 123K-L, 125A-B, , 127A-B, , 129A-B, , , 133A-B, , 135, 136, 137A-B, , 139A-B, , 141A-B, , 143A-B, , 145A-B, , 147, 148, 149, 150, 151, 152, , 154A-B, , 322, 328, , , 362, 400, 414A, 415I, 417A-B, , 419A-B, , 421A-B, , 423A-B, , 425A-B, , 427A-B, , 433, 434, 435A-B, , 437A-B, , 439A-B, , 441A-B, , 443A-B, , 445A-B, , 447A-B, , 449, 450, 451, 471A-B, , 473A-B, , 475A-B, , 477A-B, , , , Use mathematical models to represent and understand quantitative relationships A. Use mathematical models model situations that involve the addition of whole numbers, using pictures, objects or symbols SE/TE: 43I, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A-B, 53-54, 55-56, 57A-B, 57-58, 59, 60, 79B, 79, 89I-J, 91A-B, 91-92, 93A-B, 93-94, 95A-B, 95- Grade One 8

12 96, 97A-B, 97-98, , 101, 102, 103A-B, , 105A-B, , 107A-B, , , 111A-B, , 113A-B, , 115, 116, 149, 150, 151, 152, , 154A-B, , 328, , , 362, 400, 414A, 415I, 417A-B, , 419A-B, , 421A-B, , 423A-B, , 425A-B, , 427A-B, , 433, 434, 435A-B, , 437A-B, , 439A-B, , 445A-B, , 457I-J, 459A-B, , 461A-B, , 463A-B, , 465A-B, , 469, 470, , GEOMETRIC AND SPATIAL RELATIONSHIPS 1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships A. Describe and use geometric relationships recognize and name 2- and 3-dimensional shapes using physical models (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular prism, cylinder, pyramid) SE/TE: R9, 155I, 157A-B, , 159A-B, , 161A-B, , 163, 164, 165A-B, , 167A-B, , 169A-B, , 171A-B, , 173A-B, ,179, 180, 193A-B, , 196, 197, 198, , 232, 238A 2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems A. Use coordinate systems describe, name and interpret relative positions in space (left, right) SE/TE: R10, 315A-B, , 317A-B, , 328, Apply transformations and use symmetry to analyze mathematical situations A. Use transformations on objects Use manipulatives to model slides and turns SE/TE: 173A-B, , 196, 198, 492B Grade One 9

13 4. Use visualization, spatial reasoning and geometric modeling to solve problems A. Recognize and draw three-dimensional representations recognize geometric shapes and structures in the student s environment and specify the shape s location SE/TE: 157A-B, 157, 165A-B, 193A-B, MEASUREMENT 1. Understand measurable attributes of objects and the units, systems and processes of measurement A. Determine unit of measurement select the appropriate tool for the attribute being measured SE/TE: 365A-B, , 371A-B, , 373A-B, , 375A-B, , 379A-B, , 381, 382, 383A-B, , 385A-B, , 387A-B, , 389A-B, , 391A-B, , 393A-B, , 395A-B, , 397A-B, , 399, 400, 405A-B, 409, 411, 412, , 492A C. Tell and use units of time tell time to the nearest hour SE/TE: 205A-B, , 207A-B, , 209A-B, , 211A-B, , , 215A-B, , 217, 223, 229A-B, , 232, 233, 234, 236, , 238A, 322, 328A, 400 D. Count and compute money count money to fifty cents, including quarters and half dollars SE/TE: 329I-J, 329K-L, 329, 330, 331A-B, , 333A-B, , 335A-B, , 337A-B, , 339A-B, , 341, 342, 343A-B, , 345A-B, , 347A-B, , 351A-B, 353A-B, , 355, 356, 357, 358, 359, 360, , 382, 414A-B, 470, 484, 492B Grade One 10

14 2. Apply appropriate techniques, tools and formulas to determine measurements A. Use standard or non-standard measurement use repetition of a single unit to measure something larger than the unit, (e. g., measuring the length of the room with a single meter stick) SE/TE: 365A-B, , 371A-B, , 373A-B, , 375A-B, , 379A-B, , 381, 382, 383A-B, , 385A-B, , 387A-B, , 389A-B, , 391A-B, , 393A-B, , 399, 400, 408, 409, 413 DATA AND PROBABILITY 1. Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them A. Formulate questions pose questions and gather data about themselves and their surroundings SE/TE: 177A-B, , 309A-B, , 311A-B, , 313A-B, , 319A, 403, 412 B. Classify and organize data sort and classify items according to their attributes SE/TE: R15-R16, 307A-B, , , 321, 431A-B, , 433 C. Represent and interpret data represent data using pictures and bar graphs SE/TE: R15-R16, , , 218, 251A-B, , 309A-B, , 311A- B, , 319A, 321, 324, 328, 385B, 414A, , 481A-B, Grade One 11

15 to the Grade-level Expectations NUMBER AND OPERATIONS Grade Two 1. Understand numbers, ways of representing numbers, relationships among numbers and number systems A. Read, write and compare numbers read, write and compare whole numbers less than 100 Students read and write whole numbers throughout the course. The following references are to place value and comparison of whole numbers. SE/TE: 15A-B, 15-16, 21, 37, 55-56, 79I, 81A-B, 81-82, 83A-B, 83-84, 85A-B, 85-86, 91A-B, 91-92, 93, 95B, 95-96, 97A-B, 97-98, 107, 108, , 162, 166, 203, 209J, 238, 391A-B, , 393A-B, , 395A-B, , 397A-B, , 399A-B, , 407A-B , 409A-B, , 416, 417, 419, , 424A, 498A B. Represent and use rational numbers recognize 1/ 2, 1/ 3 and 1/ 4 of a shape SE/TE: 245I, 269A-B, , 271A-B, , 273A-B, , 275A-B, , 277A-B, , 281, 283, 288, 332, 338B, 372, 382, 404, 418 C. Compose and Decompose numbers compose or decompose numbers by using a variety of strategies, such as using known facts, tens or landmark numbers to solve problems SE/TE: 1I-J, 1K-L, 1-2, 3A-B, 3-4, 5A-B, 5-6, 7-8, 9A-B, 9-10, 11, 12, 13A-B, 13-14, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 21, 22, 23A-B, 23-24, 25A-B, 25-26, 27A- B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33, 34, 35, 36, 37, 38, 39-40, 41I-J, 41K-L, 41-42, 43A-B, 43-44, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A- B, 53-54, 55, 57A-B, 57-58, 59, 60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 67A- B, 67-68, 69A-B, 69-70, 71, 72, 73, 74, 75, 76, 77-78, 78A-B, 79I, 81A-B, 81-82, 83A- B, 83-84, 85A-B, 85-86, 91A-B, 91-92, 93, , 159A-B, , 162, 166, 172A, 173J, 175A, 175, 177, 179, 202, 211A, 211, 213, 215A, 215, 224, 231, 238, 254, 308, 338B, 391A-B, , 393A-B, , 395A-B, , 397A-B, , 401A-B, , 403, 423, 431A-B, 431, 433A, 435A-B, 447A-B, 447, 449A Grade Two 12

16 D. Classify and describe numeric relationships skip count by 2s, 5s and 10s SE/TE: 99A-B, , 107, 109A-B, , , , 125, 132, 196, 244A, 320, 413A, , 417, 467A-B, , Understand meanings of operations and how they relate to one another A. Represent Operations represent a given situation involving addition or subtraction SE/TE: 1I-J, 1K-L, 1-2, 3A-B, 3-4, 5A-B, 5-6, 7-8, 9A-B, 9-10, 11, 12, 13A-B, 13-14, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 21, 22, 23A-B, 23-24, 25A-B, 25-26, 27A- B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33, 34, 35, 36, 37, 38, 39-40, 41I-J, 41K-L, 41-42, 43A-B, 43-44, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A- B, 53-54, 57A-B, 57-58, 59, 60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 67A-B, 67-68, 69A-B, 69-70, 71, 72, 73, 74, 75, 76, 77-78, 78A-B, 119B, 120, 133I-J, 133K- L, 133, 134, 135A-B, , 137A-B, , 139A-B, , 141A-B, , 143, 144, 145A-B, , 147A-B, , 149A-B, , 151, 152, 155A-B, , 157A-B, , 159A-B, , 16A-B, , 163A-B, , 165, 166, 169, 170, , 172A, 173I-J, 173K-L, 173, 174, 175A-B, , 177A-B, , 179A-B, , 181A-B, , 183, 184, 185A-B, , 187A-B, , 189A-B, , 191A-B, , 193A-B, , 197A-B, , 199A-B, , 201, 202, 203, 204, 205, 206, , 209I-J, 209K-L, 209, 210, 211A-B, , 213A-B, , 215A-B, , 217A-B, , 219, 220, 221A-B, , 223, 224, 225A-B, , 227A-B, , 229B, 230, 233A-B, , 235A-B, , 237, 242, , 244B, 268, , 279A, 279, , 385, 425K-L, 431A, 432, 436, 439, 442, 448, 450, 451, , , 459, 461, 462, , 498B 3. Compute fluently and make reasonable estimates A. Describe or represent mental strategies describe or notate the mental strategy used to compute addition or subtraction of whole numbers, including 2- digit numbers SE/TE: 1I-J, 1K-L, 1-2, 3A-B, 3-4, 5A-B, 5-6, 7-8, 9A-B, 9-10, 11, 12, 13A-B, 13-14, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 21, 22, 23A-B, 23-24, 25A-B, 25-26, 27A- B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33, 34, 35, 36, 37, 38, 39-40, 41I-J, 41K-L, 41-42, 43A-B, 43-44, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A- B, 53-54, 57A-B, 57-58, 59, 60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 67A-B, Grade Two 13

17 67-68, 69A-B, 69-70, 71, 72, 73, 74, 75, 76, 77-78, 78A-B, 119B, 120, 133I-J, 133K- L, 133, 134, 135A-B, , 137A-B, , 139A-B, , 141A-B, , 143, 144, 145A-B, , 147A-B, , 149A-B, , 151, 152, 155A-B, , 157A-B, , 159A-B, , 161A-B, , 165, 166, 172A-B, 184, 201, 216, 224, 228, 231, 235A-B, 237, 238, 241, 338B, 382, 427A-B, , , 451 B. Develop and demonstrate fluency demonstrate fluency with basic number relationships of addition and subtraction for sums up to 20 SE/TE: 1I-J, 1K-L, 1-2, 3A-B, 3-4, 5A-B, 5-6, 7-8, 9A-B, 9-10, 11, 12, 13A-B, 13-14, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 21, 22, 23A-B, 23-24, 25A-B, 25-26, 27A- B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33, 34, 35, 36, 37, 38, 39-40, 41I-J, 41K-L, 41-42, 43A-B, 43-44, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A- B, 53-54, 57A-B, 57-58, 59, 60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 67A-B, 67-68, 69A-B, 69-70, 71, 72, 73, 74, 75, 76, 77-78, 78A-B, 119B, 120, 144, 152, 166, 172A, 184, 195, 202, 219, 224, 235A, 235, 308, 332, 338A, 498A C. Compute problems apply and describe the strategy used to compute 2-digit addition or subtraction problems SE/TE: 135A-B, , 137A-B, , 139A-B, , 141A-B, , 143, 145A-B, , 147A-B, , 149A-B, , 151, 152, 155A-B, , 161A-B, , 165, 167, 168, , 172B, 173I-J, 173K-L, 173, 174, 175A-B, , 177A-B, , 179A-B, , 181A-B, , 183, 185A- B, , 187A-B, , , 193A-B, , 197A-B, , 199B, , 201, 202, 203, 204, 205, 206, , 209I-J, 209K-L, 209, 210, 211A-B, , 213A-B, , 215A-B, , 217A-B, , 220, 221A-B, , 223, 224, 225A-B, , 227A-B, , 229B, 229, 231A-B, , , 235B, , 237, 238, 239, 240, 241, , 244A-B, 268, 282, 308, 332, 338B, 362, 492 ALGEBRAIC RELATIONSHIPS 1. Understand patterns, relations and functions A. Recognize and extend patterns describe and extend simple numeric patterns and change from one representation to another SE/TE: 99A-B, , 107, 109A-B, , , , 125, 132, 157A-B, , 182, 196, 244A, 413A-B, , 417, 420, 443B, , 467A-B, , 476, 493 Grade Two 14

18 B. Create and analyze patterns describe how simple growing patterns are generated SE/TE: 99A-B, , 107, 109A-B, , , , 125, 132, 157A-B, , 182, 196, 244A, 413A-B, , 417, 420, 443B, , 467A-B, , 476 C. Classify objects and representations classify objects by size, number or other attributes SE/TE: 245, 246, 247A-B, , 249A-B, , 251A-B, , 253, 255A- B, , 257A-B, , 265A-B, , 267, 279B, 282, 284, 285, 286, , 308, 318, 332, 342, 343A-B, 345A, 357B, 362, 363A-B, 363,365A-B, 365, 367B, 367, 379A-B, , Represent and analyze mathematical situations and structures using algebraic symbols A. Represent mathematical situations represent a mathematical situation as an expression or number sentence SE/TE: 1I-J, 1K-L, 1-2, 3A-B, 3-4, 5A-B, 5-6, 7-8, 9A-B, 9-10, 11, 12, 13A-B, 13-14, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 21, 22, 23A-B, 23-24, 25A-B, 25-26, 27A- B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33, 34, 35, 36, 37, 38, 39-40, 41I-J, 41K-L, 41-42, 43A-B, 43-44, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A- B, 53-54, 57A-B, 57-58, 59, 60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 67A-B, 67-68, 69A-B, 69-70, 71, 72, 73, 74, 75, 76, 77-78, 78A-B, 119B, 120, 133I-J, 133K- L, 133, 134, 135A-B, , 137A-B, , 139A-B, , 141A-B, , 143, 144, 145A-B, , 147A-B, , 149A-B, , 151, 152, 155A-B, , 157A-B, , 159A-B, , 16A-B, , 163A-B, , 165, 166, 169, 170, , 172A, 173I-J, 173K-L, 173, 174, 175A-B, , 177A-B, , 179A-B, , 181A-B, , 183, 184, 185A-B, , 187A-B, , 189A-B, , 191A-B, , 193A-B, , 197A-B, , 199A-B, , 201, 202, 203, 204, 205, 206, , 209I-J, 209K-L, 209, 210, 211A-B, , 213A-B, , 215A-B, , 217A-B, , 219, 220, 221A-B, , 223, 224, 225A-B, , 227A-B, , 229B, 230, 233A-B, , 235A-B, , 237, 242, , 244B, 254, 268, , 279A, 279, 320, 377A, 381, 385, 425K-L, 431A, 432, 436, 439, 442, 448, 450, 451, , , 459, 461, 462, , 496 Grade Two 15

19 B. Describe and use mathematical manipulation investigate commutative principle with whole numbers SE/TE: 23A-B, 23-24, 465J, 473A-B, Use mathematical models to represent and understand quantitative relationships A. Use mathematical models model situations that involve addition and subtraction of whole numbers, using pictures, objects or symbols SE/TE: 1I-J, 1K-L, 1-2, 3A-B, 3-4, 5A-B, 5-6, 7-8, 9A-B, 9-10, 11, 12, 13A-B, 13-14, 15A-B, 15-16, 17A-B, 17-18, 19A-B, 19-20, 21, 22, 23A-B, 23-24, 25A-B, 25-26, 27A- B, 27-28, 29A-B, 29-30, 31A-B, 31-32, 33, 34, 35, 36, 37, 38, 39-40, 41I-J, 41K-L, 41-42, 43A-B, 43-44, 45A-B, 45-46, 47A-B, 47-48, 49A-B, 49-50, 51A-B, 51-52, 53A- B, 53-54, 57A-B, 57-58, 59, 60, 61A-B, 61-62, 63A-B, 63-64, 65A-B, 65-66, 67A-B, 67-68, 69A-B, 69-70, 71, 72, 73, 74, 75, 76, 77-78, 78A-B, 119B, 120, 133I-J, 133K- L, 133, 134, 135A-B, , 137A-B, , 139A-B, , 141A-B, , 143, 144, 145A-B, , 147A-B, , 149A-B, , 151, 152, 155A-B, , 157A-B, , 159A-B, , 16A-B, , 163A-B, , 165, 166, 169, 170, , 172A, 173I-J, 173K-L, 173, 174, 175A-B, , 177A-B, , 179A-B, , 181A-B, , 183, 184, 185A-B, , 187A-B, , 189A-B, , 191A-B, , 193A-B, , 197A-B, , 199A-B, , 201, 202, 203, 204, 205, 206, , 209I-J, 209K-L, 209, 210, 211A-B, , 213A-B, , 215A-B, , 217A-B, , 219, 220, 221A-B, , 223, 224, 225A-B, , 227A-B, , 229B, 230, 233A-B, , 235A-B, , 237, 242, , 244B, , 279, , 385, 425K-L, 431A, 432, 436, 439, 442, 448, 450, 451, , , 459, 461, 462, Analyze change in various contexts A. Analyze change describe qualitative change, such as students growing taller SE/TE: 255A-B, , 259A-B, , 264, 267, 279B, 287, 306, 338A, 492 Grade Two 16

20 GEOMETRIC AND SPATIAL RELATIONSHIPS 1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships A. Describe and use geometric relationships describe attributes and parts of 2-and 3-dimenstional shapes (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular prism, cylinder, pyramid) SE/TE: 245, 246, 247A-B, , 249A-B, , 251A-B, , 253, 254, 255A-B, , 257A-B, , 259A-B, , 261A-B, , 265A-B, , 267, 268, 2281, 282, 284, 285, , 308, 318, 332, 362, 384, Specify locations and describe spatial relationships using coordinate geometry and other representational systems A. Use coordinate systems find and name locations with simple relationships on a map (coordinate system) SE/TE: 325A-B, , 331, 338, 498B 3. Apply transformations and use symmetry to analyze mathematical situations A. Use transformations on objects use manipulatives to model flips SE/TE: 259A-B, , 267, 279B, 338A, 492 C. Use symmetry recognize and create shapes that have symmetry SE/TE: 261A-B, , 266, 267, 279B, , 286, 287, Use visualization, spatial reasoning and geometric modeling to solve problems A. Recognize and draw three-dimensional representations recognize and represent shapes from different perspectives SE/TE: 245I, 249A-B, , 251A-B, , 253, 318, 498A Grade Two 17

21 MEASUREMENT 1. Understand measurable attributes of objects and the units, systems and processes of measurement A. Determine unit of measurement select an appropriate unit and tool for the attribute being measured SE/TE: 289I, 297A-B, , 299A-B, , 305A-B, , 324, 329A-B, 329, 334, 336, 337, 339I, 339K-L, 339, 340, 341A-B, , 343A-B, , 345A-B, , 347A-B, , 350, 351A-B, , 353A-B, 355A-B, , 357A-B, , 359A-B, 361, 365A-B, , 367A-B, , 369A-B, , 371, 372, 379A-B, , 383, 386, , 458 C. Tell and use units of time tell time to the nearest half hour SE/TE: 289I, 289K-L, 289, 290, 291A-B, , 293A-B, , 295A-B, , 301B, 306, 307, 318, 329, 337, 362, 458 D. Count and compute money count money to a dollar SE/TE: 109A-B, , 111A-B, , 113A-B, , 115A-B, , 117A-B, , 119A-B, , 121A-B, , 123A-B, , 125, 127, 128, 130, 132, 254, 282, 318, 338B, Apply appropriate techniques, tools and formulas to determine measurements A. Use standard or non-standard measurement use tools to measure (size, temperature, time, weight) to the nearest inch, centimeter, degree, hour and pound SE/TE: 289I, 297A-B, , 303A-B, , 334, 336, 339, 341A-B, , 343A-B, , 345A-B, , 347A-B, , 353A-B, 355A-B, 361, 369A- B, 379A-B, 379, 386, 458 Grade Two 18

22 DATA AND PROBABILITY 1. Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them A. Formulate questions pose questions and gather data about themselves and their surroundings SE/TE: 289J, 310, 311A, 313A-B, , 316, 319, 322, 323A-B, 336, 373A-B, 373, 375A-B, 375, 386 B. Classify and organize data sort and classify items according to their attributes and organize data about the items SE/TE: 289J, , 311A, , 313A-B, , 315A-B, , 319A-B, , 321A-B, , 323A-B, , 331, 333, 335, 338, 373A-B, 373, 375A-B, 375, 386 C. Represent and interpret data represent data using pictures and bar graphs SE/TE: 289J, 289, 319A-B, , 321A-B, , 323A-B, , 327A-B, , 331, 333, 338 Grade Two 19

23 to the Grade-level Expectations NUMBER AND OPERATIONS Grade Three 1. Understand numbers, ways of representing numbers, relationships among numbers and number systems A. Read, write and compare numbers read, write and compare whole numbers up to 3 digits Students read and write whole numbers throughout the course in virtually every lesson as they explore place value and operations on whole numbers and use whole numbers in a variety of applications. The following references are to place value and comparison of whole numbers. SE/TE: 4A-B, 4-5, 6A-B, 6-7, 8A-B, 8-9, 10A-B, 10-11, 12A-B, 12-13, 16, 17, 18A-B, 18-21, 22A-B, 22-23, 27, 31, 34, 35, 46, 47, 50, 52, 53, 54, 97, 101, 125, 143, 167, 168A-B, , 172, 173, 175, 177, , 180, 181, 185, 189, 191, 195, 287, 291, 305, , 373, 397, 416, 445, 617, 629, 651, B. Represent and use rational numbers represents commonly used fractions: halves, thirds and fourths SE/TE: 498A-B, , 502A-B, , 504A-B, , 506A-B, , 510A-B, , 512A-B, , 514, 515, 516A-B, , 518A-B, , 520A-B, , 522A-B, , , 530, 531, 533, 542B, , 547, 548, , 552, , , 562 C. Compose and Decompose numbers recognize equivalent representations for the same number and generate them by decomposing and composing numbers SE/TE: 2J, 6A-B, 6-7, 8A-B, 8-9, 10A-B, 10-11, 12-13, 16, 17, 21, 23, 50, 52, 53, 54, 56-57, 60-61, 80A-B, 80-81, 82A-B, 82-85, 92, 146A-B, , 149, 150A-B, 150, 152, 156A-B, 156, 158, 167, , 260A-B, , 304, 389, 630A-B, , 650A-B, , 668 Grade Three 20

24 D. Classify and describe numeric relationships classify numbers by their characteristics, including odd and even SE/TE: 24A-B, 24-27, 258I-J, 260A-B, , 262A-B, , 276A-B, , 280A-B, , 282A-B, , 288A-B, , 316A-B, , 318A-B, , 320A-B, , 324A-B, , 386A-B, , 388A-B, , 390A-B, , 392A-B, , 402A-B, , 476A, 629, 643, 646, 649, 665, Understand meanings of operations and how they relate to one another A. Represent Operations represent a given situation involving multiplication SE/TE: , 260A-B, , 266A-B, , , 273, 274, 275, 276A- B, , 280A-B, , 282A-B, 282, 284B, , 286A, , 290, 293, 294A-B, , 297, 300, , , 309, , 314I, 317, 319, 322, 324A-B, , 339, 346A-B, , 348B, , , , , 369, 406A, 626A-B, , 630A-B, , 634, 637, 638A-B, , 640B, B. Describe effects of operations describe the effects of adding and subtracting whole numbers as well as the relationship between the two operations SE/TE: 64-65, 66A-B, 66-69, 70A-B, 70-71, 72A-B, 72-73, 74-75, 76A-B, 76-77, 78, 79, 80A-B, 80-81, 82A-B, 82-85, 92, 93, 94A-B, 94-95, 96A-B, 96-97, 101, 102B, 103, 104A-B, 106, 107, , , , 114, , , 124I-J, , 126A-B, , 128A-B, , 132A-B, , 136A-B, , 143, 144, 145, 147, 148A-B, , 150A-B, , 152A-B, , 156A-B, , 158, 159, 165, 166A-B, , 169, 170A-B, , , , , , 273, 304, 329, 350 C. Apply properties of operations apply commutative and identity properties of addition to whole numbers SE/TE: 66B, 66-67, 70A-B, 70-71, 78, 79, 110, 115, 116, 120 Grade Three 21

25 3. Compute fluently and make responsible estimates B. Develop and demonstrate fluency develop fluency with basic number relationships (12 X 12) of multiplication and division SE/TE: 258I-J, 260A-B, , 262A-B, , 267, 274, 275, 276A-B, , 280A-B, , 282A-B, , 286A-B, , 288A-B, , 292A-B, , 296, 297, , , 304, , , 314I-J, , 316A-B, , 318A-B, , 320A-B, , 324A-B, , 328A-B, , 335, 336, 337, , 342A-B, , 345, 348A-B, 350, 351, , , , 358, , , 369, 370A-B, , 372A-B, , 384A-B, , 386A-B, , 388A-B, , 390A-B, , 392A-B, , 394, 395, 396A-B, , 402A-B, , 408, 409, , , , , 443, 449, 473, , 670 C. Compute problems apply and describe the strategy used to compute up to a 3-digit addition or subtraction problem SE/TE: 64-65, 66A-B, 66-69, 70A-B, 70-71, 72A-B, 72-73, 74-75, 76A-B, 76-77, 78, 79, 80A-B, 80-81, 82A-B, 82-85, 92, 93, 94A-B, 94-95, 96A-B, 96-97, 101, 103, 104A-B, 106, 107, , , , 114, , , 124I-J, , 126A-B, , 128A-B, , 132A-B, , 136A-B, , 143, 144, 145, 147, 148A-B, , 150A-B, , 152A-B, , 156A-B, , 158, 159, 165, 166A-B, , 169, 170A-B, , , , , , 195, 248, 273, 283, 335, 339, 345, 358, 368, 401, 403, 427, 449, 453, 486, 537, 539, 631, 637 D. Estimate and justify solutions estimate and justify the results of addition and subtraction of whole numbers SE/TE: 64I-J, 86A-B, 86-89, 90A-B, 90-91, 92, 93, 95, 98A-B, , 102, 104B, 105, 106, 107, 109, 111, , 114, 118, , 125, 127, 131, 145, 152A, 160A-B, , 165, , 189 Grade Three 22

26 ALGEBRAIC RELATIONSHIPS 1. Understand patterns, relations and functions A. Recognize and extend patterns extend geometric (shapes) and numeric patterns to find the next term SE/TE: 8A-B, 8-9, 24A-B, 24-27, 51, 52, 55, 58, 115, 135, 147, 174, 180, 191, 249, 259, 277, , 282, 286, 288, 299, 301, 303, 305, , 311, 319, , 332A-B, , 336, 337, 339, 340A-B, , 344A-B, , 350, 351, , , , 359, , , 401, 402A-B, , 417, 443, 464B, 492, 505, 553, 609, 612A-B, , 618A-B, , 641, 669, 685, 695 B. Create and analyze patterns represent patterns using words, tables or graphs SE/TE: 24B, 24-25, 58, 115, 147, 259, 270A-B, , 279, 280, 282, 288, 299, 301, 303, 305, , 311, 314J, 315, 317, , 332A-B, , 336, 337, 340A-B, , 344A-B, , 350, 351, , 354, , 359, , , 401, 402A-B, , 417, , 447, 553, 588A-B, , 609, 669, 685, Represent and analyze mathematical situations and structures using algebraic symbols A. Represent mathematical situations represent a mathematical situation as an expression or number sentence SE/TE: 181, , 260A-B, , 266A-B, , , 273, 274, 275, 276A-B, , 280A-B, , 282A-B, 282, 284B, , 286A, , 290, 293, 294A-B, , 297, 300, , , 309, , 314I, 316, 318, 320A-B, , 324A-B, , , 346A-B, 346, 348B, 350, 351, , 354, , 390, 392, 404A-B, , , 408, 413, , 425, 431, 439, 473, 487, 656, 677 B. Describe and use mathematical manipulation apply the commutative property to addition of whole numbers SE/TE: 66B, 66-67, 70A-B, 70-71, 78, 79, 110, 115, 116, 120 Grade Three 23

27 3. Use mathematical models to represent and understand quantitative relationships A. Use mathematical models model problem situations, including multiplication with objects or drawings SE/TE: 140A-B, , 179, 183, 187, , 260A-B, , 266A-B, , , 273, 274, 275, 276A-B, , 280A-B, , 282A-B, 282, 284B, , 286A, , 290, 293, 294A-B, , 297, 300, , , 309, , 314I, 314, 316A, 316, 318A-B, 318, 320A-B, , 324A-B, , 327, 338A, 342, , 358, , 363, 368I-J, 369, 370A-B, , 372B, , , 382, 383, , 386B, 390A-B, 392A-B, , 398A-B, , 402B, 406B, 409, , , 416, , 421, 610I, 626A-B, , 631, 632B, 632, 658A-B, 663, , , 671, 675, 687, 688B 4. Analyze change in various contexts A. Analyze change describe quantitative change, such as students growing two inches in a year SE/TE: 24B, 24-25, 58, 115, 147, 259, 270A-B, , 279, 280, 282, 288, 299, 301, 303, 305, , 311, 314J, 315, 317, , 332A-B, , 336, 337, 340A-B, , 344A-B, , 350, 351, , 354, , 359, , , 401, 402A-B, , 417, 669, 685, 695 GEOMETRIC AND SPATIAL RELATIONSHIPS 1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships A. Describe and use geometric relationships compare 2- and 3-dimensional shapes by describing their attributes (circle, rectangle, rhombus, trapezoid, triangle, rectangular prism, cylinder, pyramid and sphere) SE/TE: 114, 180, 248, 304, 358, 426I, , 428A-B, , 432A-B, , 440, 441, 442A-B, , 444A-B, , 446A-B, , 450A-B, , 454A-B, , 456A-B, , 460A-B, , 462, 463, 464A-B, , 468A-B, , 472A-B, , 474A-B, , , 478, 479, , , , 486, , , 552, 587, 639, 668 Grade Three 24

28 C. Compose and decompose shapes predict the results of putting together or taking apart 2-and 3-dimensional shapes SE/TE: 449, 454B, 458, 465, 468B, , 472A-B, , 474B, 476B, 477, 478, 479, , 483, 485, 491, 492, 533, Specify locations and describe spatial relationships using coordinate geometry and other representational systems A. Use coordinate systems describe location using common language and geometric vocabulary (forward, back, left, right, north, south, east, west) SE/TE: 218A-B, , 244, 246, Apply transformations and use symmetry to analyze mathematical situations A. Use transformations on objects determine if two objects are congruent through a slide, flip or turn SE/TE: 456A-B, , 462, 463, 483, 485, 490, 494 C. Use symmetry identify lines of symmetry in polygons SE/TE: 460A-B, , 467, 477, 483, 484, 490, 494 MEASUREMENT 1. Understand measurable attributes of objects and the units, systems and processes of measurement A. Determine unit of measurement identify and justify the appropriate unit of measure (linear, time, weight) SE/TE: 114, 180, 190I, 198A-B, , 201, 202, 203, , 244, , 250, 254, 267, 358, 416, 426J, 464A-B, , 468B, 471, 485, 491, 495, 496J, 532A-B, , 534A-B, , 536A-B, , 538A-B, , 540, 544, Grade Three 25

29 545, 546, 549, , , , 563, 582A-B, , 584A-B, , , 592, 593, , 597, , , 636B, 668, 680A-B, , 684A-B, , 690A-B, , 694A-B, , 698, 699 C. Tell and use units of time tell time to the nearest five minutes SE/TE: 180, 190, 192A-B, , 196A-B, , 202, 203, , , 250, 254, 416, 600; elapsed time: 180, 190I, 198A-B, , 201, 202, 203, , 244, , 250, 254, 267, 552 D. Count and compute money determine change from \$5.00 and add and subtract money values to \$5.00 SE/TE: 40A-B, 40-41, 46, 47, 51, 53, 55, 59, 63, 157, 162A-B, , 180, 304, 312, 391, Apply appropriate techniques, tools and formulas to determine measurements A. Use standard or non-standard measurement use a referent for measures to make comparisons and estimates SE/TE: 238B, 305, 358, 496J, 535, 560, 562J, 582B, , 585, 592, 593, 599, 600, 609, 668, 678I, 682, 693, 694 C. Apply geometric measurements determine the perimeter of polygons SE/TE: 114, 358, 426J, 464A-B, , 468B, 471, 475, 476B, 476, 478, 479, , 485, 486, 491, 495, 533, 552, 600, 636B, 668 DATA AND PROBABILITY 1. Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them A. Formulate questions design investigations to address a given question SE/TE: 190J Grade Three 26

30 C. Represent and interpret data read and interpret information from line plots and graphs (bar, line, pictorial) SE/TE: 95, 115, 161, 181, 208A-B, , 212A-B, , , 218A-B, , 222A-B, , 224, 225, 226A-B, , 228A-B, , 232A-B, , , 236A-B, , 245, , 249, , , 261, 285, 305, 312, 347, 359, 400, 417, 487, 553, 591, 601, 617, 654, Select and use appropriate statistical methods to analyze data A. Describe and analyze data describe the shape of data and analyze it for patterns SE/TE: 115, 181, , 270A-B, , 305, 487, 553, Develop and evaluate inferences and predictions that are based on data A. Develop and evaluate inferences discuss events related to students' experiences as likely or unlikely SE/TE: 181, 359, 553, 601, 678J, 700A-B, , 702A-B, , 704A-B, , 708A-B, 712, 713, 717, , 721, 725, 729 Grade Three 27

31 to the NUMBER AND OPERATIONS Grade Four 1. Understand numbers, ways of representing numbers, relationships among numbers and number systems A. Read, write and compare numbers read, write and compare decimals to the hundredths place and whole numbers up to 6 digits Students read and write whole numbers throughout the course in virtually every lesson as they explore place value and operations on whole numbers and use whole numbers in a variety of applications. The following references are to place value and comparison of whole numbers and to reading, writing, and comparing decimals. SE/TE: 2I-J, 2-3, 4A-B, 4-7, 8A-B, 8-9, 10A-B, 10-11, 14, 15, 16A-B, 16-19, 20A-B, 20-21, 22A-B, 22-23, 26, 27, 28A-B, 28-29, 30A-B, 30-31, 32A-B, 32-33, 34A-B, 34-37, 40A-B, 40-41, 42, 43, 44-45, 46-47, 48-49, 50-51, 52-55, 56-59, 63, 67, 68, 71, 72A-B, 72-73, 79, 81, 85, 97, 108, 111, 112, , 127, , 147, 149, 178, 244, 302, 354, 422, 550, 589, 612, 622I-J, , 624A-B, , 628A-B, , 630A-B, , 632A-B, , 634, 635, 636A-B, , 638A-B, , 642A-B, , 650, 651, 653, 660, 665, 670, 672, , , , 680, , 691, 703, 711, 723, 725, 726 B. Represent and use rational numbers use models, benchmarks (0, 1/ 2 and 1) and equivalent forms to judge the size of fractions SE/TE: 498I-J, 499, 500A-B, , 502A-B, , 504A-B, , 508A-B, , 510, 514, 515, 516A-B, , 520A-B, , 522A-B, , 524A-B, , 528, 529, 530A-B, , 534A-B, , 536A-B, 537, 538A-B, , 540A-B, , 542, 543, , , , 550, , , 560, 562A-B, 564A-B, 564, 567, 568A-B, 568, 573, 574B, 574, 577, 578A, 578, 581, 563, 624A-B, , 629, 634, 635, 672, 674, 676, 678, 682, 687 Grade Four 28

32 C. Compose and Decompose numbers recognize equivalent representations for the same number and generate them by decomposing and composing numbers SE/TE: 2, 4A-B, 4-7, 8B, 9, 10A-B, 10-11, 14-15, 16A, 18, 19, 22A-B, 22-23, 26, 27, 28B, 28-29, 31, 33, 40A-B, 43, 46, 48-49, 52-53, 56, 58, 62B, 62-63, 64A-B, 64-65, 71, 81, 86, 90-91, 123, 124B, , 131, 132A-B, , 137, 145, 176, 180, 257, 262A-B, , 264A-B, 267, 269, 270A-B, 270, 292A, 304, 329 D. Classify and describe numeric relationships classify and describe numbers by their characteristics, including odd, even and multiples SE/TE: , 127, 128A-B, , 134, 146A, 174, 255, 256, 314A-B, , 402A-B, , 407, 411, 414, 415, 419, , 423, 427, 430, Understand meanings of operations and how they relate to one another A. Represent Operations represent and recognize multiplication using various models, including sets and arrays SE/TE: 123, 124A-B, , , 131, 132A-B, , 145, 146, 148A-B, 149, 164A-B, , 168A-B, 174, 178, , 184, 254J, 256B, 258B, 264A-B, , 270B, 270, 273, 288B, 292A-B, 300, 305, 309, 312J, 320A-B, , 329, 330, 332, 340B, 344A, , 357, 361 C. Apply properties of operations apply commutative and identity properties of multiplication to whole numbers SE/TE: , 145, 148A-B, , 158, 159, 176, 181, 185, 292B 3. Compute fluently and make reasonable estimates A. Describe or represent mental strategies represent a mental strategy used to compute a given multiplication problem (up to 2-digit by 2-digit multiple of) SE/TE: 122I-J, 123, 124A-B, , 128A-B, , 132A-B, , 136A-B, , 143, 144, 145, 148A-B, , 151, 154A-B, , 158, 159, 174, , 178, , , 255, 256A-B, , 262A-B, , 267, 289, , 304, 306, 308, 312I, 314A-B, , 319, 330, 331, 338A-B, , 344B, 351, , 356, 360, 364, 377 Grade Four 29

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