Mathematics - Late Elementary
Performance Descriptors and Assessments
6. Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.
Student Language: I can show I understand numbers and our system of numbers including patterns, ratios and proportions and the operations of addition, subtraction, multiplication and division.
6A. Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.
Student Language: I can read, write and compare whole numbers, fractions, decimals and percents.
6.A.2 Compare and order whole numbers, fractions and decimals using concrete materials, drawings and mathematical symbols.
THIRD GRADE: Students will recognize, read, and write whole numbers to 10,000 and identify parts of a whole as fractions and decimals to tenths place.
textbook pp. 130-131, 142D, 144-145, 146-147, 150-153, 158, 175, 181, 183, 263, 366D, 367, 368-369, 370-373, 374-375, 382, 383, 397, 413, 414, 416, 465, 471, 485
FOURTH GRADE: Students will recognize, read, and write numbers to 100,000 and identify parts of a whole as fractions and decimals to hundredths place.
textbook pp. 80-81, 82-83, 89, 91, 94-95, 100-101, 104, 142-143, 145, 157, 181, 183, 311, 360-361, 372, 373, 392-393, 394-395, 406, 407, 423, 426, 501, 506-507
FIFTH GRADE: Students will recognize, read, and write numbers to 100,000,000 and identify parts of a whole as fractions and decimals to thousandths place.
textbook pp. 1, 6-7, 8-11, 16, 34D, 35, 36-37, 38-39, 40-41, 48, 49, 65, 66, 68, 69, 71, 77, 97, 119, 125, 151, 169, 207, 225, 239, 269, 270-271, 273, 282, 285, 330, 351
6B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms and relationships.
Student Language: I can add, subtract, multiply and divide whole numbers. I can add and subtract fractions and decimals accurately. I can list factors and multiples of whole numbers.
6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication and division.
THIRD GRADE: Students will solve 1 and 2 step problems involving whole numbers using basic operations.
textbook pp. 3, 5, 7, 11, 13, 14, 15, 19, 21, 23, 26, 28-29, 30-31, 32, 33, 37, 39, 41, 42-43, 44-45, 46-47, 48, 49, 51, 53, 57, 59, 61, 64, 65, 66, 67, 71, 72, 77, 85, 86, 91, 95, 101, 141, 153, 155, 157, 163, 167, 169, 189, 190-191, 194, 195, 197, 200, 201, 202, 203, 207, 210, 211, 215, 216-217, 220, 221, 222, 223, 227, 229, 231, 233, 235, 236-237, 238-239, 240, 241, 245, 247, 249, 251, 252-253, 254-255, 256, 257, 260, 261, 262, 273, 277, 283, 285, 287, 289, 293, 299, 301, 303, 307, 319, 321, 323, 329, 333, 335, 341, 343, 351, 355, 357, 377, 381, 383, 393, 395, 397, 403, 412, 427, 429, 431, 435, 444-445, 450, 455, 463, 467, 469, 470, 475, 476-477, 479, 481, 483, 484, 485, 489, 491, 493, 495, 496-497, 498-499, 500, 501, 504, 505, 506
FOURTH GRADE: Students will solve 1 and 2 step problems involving whole numbers and decimals using basic operations.
textbook pp. 2-3, 9, 15, 18-21, 20, 23, 25, 30-31, 33, 36-37, 39, 41, 43, 44-45, 46-47, 48, 49, 52-53, 55, 57, 59, 61, 63, 64-65, 66, 67, 71, 73, 79, 83, 85, 89, 97, 103, 105, 109, 111, 113, 115, 118, 119, 121, 133, 135, 137, 139, 145, 151, 153, 159, 160, 169, 171, 175, 177, 183, 189, 191, 199, 217, 233, 235, 241, 243, 245, 247, 249, 267, 269, 277, 279, 280, 281, 284, 287, 290-291, 292, 297, 299, 301, 303, 306, 307, 309, 310, 315, 318, 319, 321, 323, 325, 327, 329, 330, 335, 338, 339, 341, 342-343, 344-345, 347, 348-349, 350, 354, 355, 356, 357, 369, 371, 373, 389, 395, 400, 407, 411, 413, 415, 417, 418-419, 422, 423, 427, 428, 429, 434, 439, 446, 463, 469, 470-471, 473, 475, 481, 482, 487, 489, 491, 493, 494-495, 498, 499, 500, 501, 505, 507, 509, 511, 514, 518
FIFTH GRADE: Students will solve 1 and 2 steps problems involving whole numbers, decimals, and fractions using basic operations.
textbook pp. 3, 13, 21, 23, 25, 26-27, 29, 32, 33, 37, 39, 47, 49, 53, 55, 57, 59, 60-61, 63, 64, 69, 75, 77, 80, 81, 85, 89, 93, 95, 97, 100, 101, 103, 105, 107, 108D, 111, 114, 115, 117, 119, 120-121, 123, 126C, 129, 131, 133, 135, 138, 140-141, 142-143, 144, 149, 150, 155, 167, 168, 175, 181, 189, 191, 199, 215, 216-217, 220, 223, 231, 235, 238, 241, 242-243, 244, 245, 249, 251, 255, 261, 264, 266, 279, 283, 295, 305, 307, 311, 312-313, 314, 319, 321, 323, 325, 326-327, 328, 329, 333, 334, 341, 343, 345, 346-347, 349, 350, 351, 355, 357, 359, 360-361, 363, 364, 365, 375, 381, 389, 391, 393, 395, 396-397, 398, 402, 403, 404, 409, 413, 415, 417, 419, 422, 433, 437, 445, 451, 455, 463, 477, 487, 493
6C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.
Student Language: I can make reasonable estimates and determine if an answer is logical. I can determine when to use an estimate or an exact answer. I can determine when to use mental math, paper and pencil, a calculator or a computer
6.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals.
THIRD GRADE: Students will select and perform correct computational procedure to solve basic problems with whole numbers.
textbook pp. 3, 5, 11, 14, 15, 20-21, 22-23, 32, 33, 34D, 35, 36-37, 38-39, 40-41, 43, 45, 48, 50D, 52-53, 54-55, 56-57, 60-61, 62-65, 66, 67, 70, 71, 72, 73, 77, 79, 93, 97, 125, 129, 131, 135, 141, 183, 195, 201, 263, 365, 383, 419, 478-479, 480-481, 482-483, 484, 493, 501, 502, 504, 506, 507
FOURTH GRADE: Students will select and perform correct computational procedure to solve basic problems with whole numbers and decimals.
textbook pp. 2-3, 6-7, 13, 14, 15, 16D, 19, 21, 22-23, 24-25, 30-31, 32, 34D, 37, 38-39, 41, 42-43, 46-47, 48, 49, 53, 57, 63, 64-65, 66, 67, 68, 70, 71, 72, 73, 89, 93, 97, 105, 109, 123, 139, 145, 155, 157, 159, 161, 199, 203, 217, 225, 235, 243, 251, 269, 275, 278-279, 280-281, 282-285, 284, 286-287, 292, 293, 294D, 295, 296-297, 302-303, 304-307, 308-309, 310, 311, 312D, 313, 314-315, 316-319, 320-321, 322-323, 326-327, 328-329, 330, 331, 332D, 334-335, 336-339, 341, 348-349, 350, 351, 352, 354, 355, 356, 357, 361, 371, 379, 387, 389, 393, 395, 407, 408D, 409, 410-411, 412-413, 414-415, 416-417, 418-419, 422, 423, 424, 427, 429, 435, 441, 447, 463, 467, 473, 483, 487, 489, 490-491, 492-493, 496-499, 498, 500, 507, 513, 515, 518, 521
FIFTH GRADE: Students will select and perform correct computational procedure to solve basic problems with whole numbers, decimals, and fractions.
textbook pp. 18D, 19, 20-21, 22-23, 24-25, 28-29, 32, 33, 41, 43, 49, 50D, 51, 52-53, 54-55, 56-57, 64, 65, 69, 70, 71, 72D, 73, 76-77, 78-81, 79, 80, 88, 89, 90D, 92-93, 94-95, 98-101, 106, 107, 112-115, 116-117, 118-119, 120-121, 124, 125, 127, 128-129, 130-131, 132-133, 134-135, 136-139, 138, 144, 145, 146, 148, 149, 150, 151, 157, 161, 163, 169, 177, 179, 185, 189, 199, 201, 207, 208D, 210-211, 212-213, 214-215, 218-221, 222-223, 224-225, 226, 227, 230-231, 234-235, 236-239, 240-241, 243, 244, 245, 249, 251, 255, 256, 261, 262, 263, 264, 265, 266, 267, 271, 273, 277, 291, 297, 301, 302D, 303, 304-305, 306-307, 308-309, 310-311, 312-313, 314, 315, 316D, 318-319, 320-321, 322-323, 324-325, 326-327, 328, 329, 330, 333, 334, 335, 336D, 337, 340-341, 342-343, 344-345, 350, 352D, 353, 356-357, 358-359, 362-363, 364, 365, 377, 385, 386D, 387, 388-389, 390-391, 392-393, 394-395, 398, 399, 400, 401, 402, 403, 404, 405, 409, 411, 417, 421, 423, 427, 429, 437, 447, 451, 465, 467, 473, 481, 483, 489, 497, 499, 505, 511
6.C.2b Show evidence that computational results using whole numbers, fractions and decimals are correct and/or that estimates are reasonable.
THIRD GRADE: Students will compare and contrast with manipulatives to demonstrate correctness of computation and/or reasonableness of estimates.
textbook pp. 12, 20-21, 24-27, 26, 32, 33, 36-37, 41, 53, 60-61, 67, 70, 72, 73, 167, 183, 186-187, 203, 206-207, 226-227, 230-231, 241, 244-245, 355, 474-475, 478-479, 480-481, 488-489, 490-491, 492-493
FOURTH GRADE: Students will use inverse operations to demonstrate correctness of computation and/or reasonableness of estimates using addition and subtraction.
textbook pp. 10-11, 15, 28-29, 32, 55, 87, 93, 95, 139, 275, 373
FIFTH GRADE: Students will use inverse operations to demonstrate correctness of computation and/or reasonableness of estimates using addition, subtraction, multiplication, and division.
textbook pp. 18D, 20-21, 28-29, 32, 33, 43, 55, 65, 69, 71, 80, 89, 96-97, 98-101, 100, 103, 106, 107, 108D, 112-115, 116-117, 118-119, 124, 128, 130-131, 132-133, 134-135, 136-139, 138, 144, 146, 149, 151, 163, 169, 185, 197, 199, 201, 207, 227, 237, 238, 241, 271, 287, 291, 315, 399, 437, 467
6D. Solve problems using comparison of quantities, ratios, proportions and percents.
Student Language: I can use ratios, proportions and percents to solve simple problems.
6.D.2 Describe the relationship between two sets of data using ratios and appropriate notations (e.g., a/b, a to b, a:b).
THIRD GRADE: Students will read and interpret basic charts and graphs.
textbook pp. 5, 17, 19, 33, 39, 45, 49, 53, 57, 64, 67, 129, 156-157, 158, 159, 171, 177, 182, 200, 223, 249, 257, 274-275, 277, 279, 280-281, 284-285, 288, 289, 290-291, 292, 293, 301, 307, 311, 312, 313, 329, 359, 415, 435, 451
FOURTH GRADE: Students will read, interpret, compare, and contrast basic charts and graphs.
textbook pp. 31, 55, 58-59, 63, 65, 72, 77, 102-103, 111, 113, 118, 119, 135, 138, 143, 144, 156-157, 158-159, 160, 164-165, 166-167, 176, 177, 187, 191, 194, 197, 249, 251, 261, 297, 303, 306, 315, 319, 323, 329, 331, 335, 338, 339, 341, 343, 345, 347, 351, 373, 421, 423, 441, 447, 463, 477, 479, 493, 501, 502D, 506-507, 508-509, 510-511, 512-513, 514, 515, 517, 519, 520
FIFTH GRADE: Students will identify equivalent ratios with appropriate manipulatives.
textbook pp. 474D, 480-481, 482-483, 485, 488, 497, 508, 511
7. Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.
Student Language: I can measure and estimate measurements of objects, quantities, and relationships.
7A. Measure and compare quantities using appropriate units, instruments and methods.
Student Language: I can measure accurately and change from one unit to another within the standard system and within the metric system.
7.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems.
THIRD GRADE: Students will demonstrate the ability to use rulers, yardsticks, and scales to read and calculate customary units of measurement.
textbook pp. 421, 424-425, 426-427, 428-429, 435, 469, 470
FOURTH GRADE: Students will perform basic operations to calculate length, perimeter, area weight/mass and volume within the customary and metric systems.
textbook pp. 6-7, 47, 76-77, 81, 84, 202-203, 235, 236D, 237, 238-239, 244-245, 246-247, 248-249, 250, 251, 257, 267, 273, 274, 301, 307, 357, 363, 432-435, 434, 440-441, 442-443, 446, 448D, 449, 450-451, 455, 460-461, 468-469, 478, 480, 481, 507, 511, 521
FIFTH GRADE: Students will convert length, perimeter, area weight/mass and volume within the customary and metric systems.
textbook pp. 78-81, 82, 84-85, 88, 91, 102-103, 104-105, 106, 107, 123, 125, 135, 139, 148, 149, 150, 151, 201, 243, 247, 256-257, 258-259, 260, 261, 265, 267, 283, 299, 301, 305, 335, 343, 351, 365, 366D, 370-371, 374-375, 376-377, 384, 389, 403, 405, 409, 417, 423, 435, 437, 449, 452D, 455, 460-461, 462-463, 464-465, 466, 467, 471, 472, 473, 479, 505
7.A.2b Solve addition, subtraction, multiplication and division problems using currency.
THIRD GRADE: Students will use currency manipulatives to solve basic operations of addition and subtraction.
textbook pp. 54-55, 62-65, 66, 71, 73, 79, 114-115, 118, 120, 123, 125, 135, 167, 213, 263, 321, 323, 471, 507
FOURTH GRADE: Students will use currency manipulatives to solve basic operations of addition, subtraction, multiplication, and division.
textbook pp. 12-13, 14, 47, 65, 67, 70, 85, 89, 121, 145, 193, 199, 209, 269, 288-289, 292, 293, 309, 340-341, 350, 353, 354, 355, 356, 357, 413, 421, 459, 499
FIFTH GRADE: Students will use currency manipulatives to solve word problems involving currency.
textbook pp. 7, 29, 30-31, 33, 43, 45, 47, 53, 55, 59, 60-61, 62-63, 64, 69, 70, 77, 80, 83, 87, 91, 95, 100, 114, 119, 131, 138, 141, 142-143, 167, 184, 193, 197, 211, 215, 217, 221, 223, 225, 226, 227, 229, 231, 232-233, 235, 238, 239, 241, 243, 244, 262, 265, 266, 273, 277, 279, 293, 295, 301, 305, 307, 309, 327, 335, 349, 351, 361, 363, 371, 373, 375, 377, 383, 385, 395, 397, 419, 433, 436, 441, 443, 445, 461, 477, 503
7B. Estimate measurements and determine acceptable levels of accuracy.
Student Language: I can closely estimate measurements.
7.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems.
THIRD GRADE: Students will be able to select correct measuring instrument for estimating a given measure.
textbook pp. 421, 422-423, 424-425, 426-427, 430-431, 432-433, 434, 435, 438-439, 440-441, 442-443, 446-447, 448-449, 450, 451, 457, 465, 466, 468-469, 493, 495, 507
FOURTH GRADE: Students will use correct measuring instrument for estimating a given measure.
textbook pp. 76-77, 81, 430D, 432-435, 434, 440-441, 442-443, 444-445, 446, 448D, 449, 450-451, 459, 460-461, 462, 478, 480, 481
FIFTH GRADE: Students will compute correctly a given measure using both the customary and metric systems.
textbook pp. 249, 251, 255, 257, 324-325, 326-327, 328, 334, 353, 370-371, 372-373, 374-375, 376-377, 382-383, 403, 405, 417, 465
7.B.2b Estimate conversions between measures within the customary and metric systems.
FIFTH GRADE: Students will convert between customary and metric systems.
textbook pp. 246D
7C. Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.
Student Language: I can choose the appropriate tools to solve measurement problems. I can calculate perimeter, area and volume.
7.C.2a Describe relationships in a simple scale drawing.
THIRD GRADE: Students will comprehend and describe relationships in a simple scale drawing using visual representations.
textbook pp. 284, 292, 310, 503
FOURTH GRADE: Students will interpret simple scale drawings.
textbook pp. 158, 160, 196, 264-265, 266-267
FIFTH GRADE: Students will construct simple scale drawings.
textbook pp. 414-415, 475, 483, 488, 506, 508
7.C.2b Construct or draw figures with given perimeters and areas.
THIRD GRADE: Students will draw and label area and perimeter using graph paper.
textbook pp. 452D, 453, 454-455, 456-457, 458-459, 460-463, 462-463, 464, 465, 466, 467, 469, 470, 485
FOURTH and FIFTH GRADE: Students will define, construct, and identify a given area and perimeter using graph paper.
textbook pp. 6-7, 47, 202-203, 235, 236D, 237, 238-239, 240-241, 242-243, 244-245, 250, 251, 257, 269, 270, 273, 274, 301, 307, 357, 363, 407, 455, 468-469, 474-475, 476, 477, 507, 521
textbook pp. 78-81, 84-85, 88, 91, 102-103, 106, 107, 125, 135, 146, 148, 149, 150, 151, 201, 243, 261, 301, 335, 351, 437, 483
8. Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.
Student Language: Solve problems using patterns and variables.
8A. Describe numerical relationships using variables and patterns.
Student Language: I can recognize and describe patterns. I can solve problems with patterns. I can find the rule about a pattern.
8.A.2a Identify, describe, extend and create geometric and numeric patterns.
THIRD GRADE: Students will be able to complete number sequences and patterns to 1,000.
textbook pp. 5, 132-133, 134-135, 141, 148-149, 158, 167, 173, 178, 180, 181, 183, 195, 235, 285, 297, 301, 317, 323, 325, 327, 328, 349, 373, 389, 429, 445
FOURTH GRADE: Students will be able to complete geometric patterns.
textbook pp. 299, 439
FIFTH GRADE: Students will be able to identify number sequences involving operations of addition, subtraction, multiplication, and division.
textbook pp. 11, 128-129, 144, 145, 150, 177, 189, 212-213, 226, 227, 230-231, 244, 245, 249, 251, 261, 264, 265, 266, 283, 297, 311, 315, 329, 385, 421, 467
8.A.2b Construct and solve number sentences using a variable to represent an unknown quantity.
THIRD GRADE: Students will be able to identify missing addends and subtrahends with word problems (to 100).
textbook pp. 13
FOURTH GRADE: Students will be able to identify missing addends and subtrahends using a variable with word problems.
textbook pp. 33, 67, 123, 331, 477
FIFTH GRADE: Students will complete simple problems with a variable in basic operations.
textbook pp. 5, 57
8B. Interpret and describe numerical relationships using tables, graphs and symbols.
Student Language: I can use tables, graphs and symbols to represent situations and solve problems.
8.B.2 Analyze a geometric pattern and express the results numerically.
THIRD GRADE: Students will analyze a simple geometric pattern and express it numerically.
textbook pp. 133, 171, 191, 276, 291, 301, 324-325, 326-327, 328, 329, 341, 345, 355, 364, 429, 445, 459, 481
FOURTH GRADE: Students will analyze a more advanced geometric pattern and express it numerically.
textbook pp. 45, 66, 85, 215, 231, 257, 298-299, 310, 325, 343, 345, 356, 439, 457, 489, 511
FIFTH GRADE: Students will analyze a complex geometric pattern and express it numerically.
textbook pp. 430-431, 432-433
8C. Solve problems using systems of numbers and their properties.
Student Language: I can solve simple problems with variables.
8.C.2 Explain operations and number properties including commutative, associative, distributive, transitive, zero, equality and order of operations.
THIRD GRADE: Students will identify commutative and associative properties using "flipping" and "grouping of numbers.
textbook pp. 6-7, 14, 18-19, 23, 32, 70, 95, 125, 129, 131
FOURTH GRADE: Students will use manipulatives to demonstrate knowledge of properties.
textbook pp. 4, 5, 6-7, 38-39, 42-43, 48, 49, 50D, 53, 61, 62-63, 68, 71, 72, 73, 97, 105, 109, 123, 145, 149, 161, 217, 245, 269, 293, 327, 373, 447
FIFTH GRADE: Students will memorize properties and order of operation and complete simple problems.
textbook pp. 52, 74-75, 88, 89, 92-93, 97, 106, 125, 129, 139, 145, 146, 147, 148, 151, 185, 286, 315, 451
8D. Use algebraic concepts and procedures to represent and solve problems.
Student Language: I can solve simple equations with variables.
8.D.2 Solve linear equations involving whole numbers.
THIRD GRADE: Students will use paper to construct 2-D figures.
textbook pp. 330, 338-339, 360
FOURTH and FIFTH GRADE: Students will use manipulatives to construct 2-D and 3-D figures.
textbook pp. 201, 204-205, 216, 229, 274
textbook pp. 453, 456-457, 466, 468
9. Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.
Student Language: Recognize and use characteristics of shapes and angles to draw conclusions about geometric figures.
9A. Demonstrate and apply geometric concepts involving points, lines, planes and space.
Student Language: I can recognize and name shapes, solids and angles and their properties. I can describe characteristics of shapes and angles. I can solve problems using geometry.
9.A.2a Build physical models of two- and three-dimensional shapes.
THIRD-FIFTH GRADE: Students will identify geometric shapes in real life situations in grade appropriate description.
textbook pp. 320, 324-325, 332-333, 335, 341, 344, 345, 349, 353, 360, 363
textbook pp. 202-203, 219, 226-227, 228-229, 230-231, 232-233, 234, 253, 262-263, 268, 269, 273, 274, 279, 351, 379, 501
textbook pp. 407, 416-417, 422, 423, 424D, 427, 432-433, 434-435, 436, 439, 440-441, 450, 455, 468, 469, 470, 472, 473
9.A.2b Identify and describe how geometric figures are used in practical settings (e.g., construction, art, advertising).
THIRD-FIFTH GRADE: Students will identify geometric shapes in real life situations in grade appropriate description.
textbook pp. 314D, 316-317, 362, 369
textbook pp. 202-203, 219, 226-227, 228-229, 230-231, 232-233, 234, 253, 262-263, 268, 269, 273, 274, 279, 351, 379, 501
textbook pp. 407, 416-417, 422, 423, 424D, 427, 432-433, 434-435, 436, 439, 440-441, 450, 455, 468, 469, 470, 472, 473
9.A.2c Describe and draw representations of geometric relationships, patterns, symmetries, and designs in two- and three-dimensions with and without technology.
THIRD GRADE: Students will identify and sketch circles, squares, triangles & rectangles and identify figures that have lines of symmetry.
textbook pp. 320, 324-325, 335, 341, 346D, 347, 350-351, 352-353, 354-355, 356-357, 358, 359, 363, 364, 471, 491
FOURTH GRADE: Students will identify polygons to 8 sides and draw lines of symmetry in figures that have them.
textbook pp. 219, 228-229, 234, 258-259, 260-261, 268, 271, 273, 274, 293, 379, 401, 515
FIFTH GRADE: Students will identify properties of cubes, spheres, cylinders, cones, and pyramids and draw lines of symmetry in figures that have them.
textbook pp. 424D, 428-429, 436, 437, 449, 452D, 454-455, 456-457, 466, 467, 470, 471, 472, 479, 481, 489, 511
9B. Identify, describe, classify and compare relationships using points, lines, planes and solids.
Student Language: I can identify congruence, similarity and symmetry of shapes.
9.B.2 Compare geometric figures and determine their properties including parallel, perpendicular, similar, congruent and line symmetry.
THIRD GRADE: Students will identify parallel lines in quadrilaterals.
textbook pp. 320, 324-325, 335, 341, 345
FOURTH GRADE: Students will identify parallel and perpendicular lines in quadrilaterals.
textbook pp. 218D, 219, 220-221, 224-225, 228-229, 230-231, 232-233, 234, 251, 272, 273, 274, 279, 349, 351, 379, 501
FIFTH GRADE: Students will identify parallel and perpendicular lines in similar and congruent figures.
textbook pp. 406D, 408-409, 422, 424D, 426-427, 428-429, 436, 437, 447, 470, 472, 484-485, 488, 489, 509
9C. Construct convincing arguments and proofs to solve problems.
Student Language: I can draw conclusions about geometric figures and explain why I'm right.
9.C.2 Formulate logical arguments about geometric figures and patterns and communicate reasoning.
THIRD GRADE: Students will discuss properties of quadrilaterals.
textbook pp. 324-325, 345
FOURTH GRADE: Students will discuss properties of squares, rectangles, and kites.
textbook pp. 219, 228-229, 230-231, 232-233, 234, 273, 279
FIFTH GRADE: Students will write about properties of squares, rectangles, kites, and rhombus and trapezoids.
textbook pp. 407, 416-417, 422, 423, 468, 470, 473
10. Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.
Student Language: Collect, organize and analyze data and predict the likelihood of events.
10A. Organize, describe and make predictions from existing data.
Student Language: I can organize, display and compare data. I can explain results, draw conclusions and make predictions from data. I can find the mean, median, mode and range from a set of data.
10.A.2a Organize and display data using pictures, tallies, tables, charts, bar graphs, line graphs, line plots and stem-and-leaf graphs.
THIRD GRADE: Students will collect and organize data and create and display a bar graph using pictures.
textbook pp. 259, 264D, 278D, 279, 282-283, 286-287, 385, 415, 503
FOURTH GRADE: Students will collect and organize data using a tally chart & display data in a bar graph.
textbook pp. 124D, 148, 150-151, 155, 162D, 163, 164-165, 174-175, 198, 503
FIFTH GRADE: Students will collect and organize data and create a bar graph, line graph, and stem and leaf graph.
textbook pp. 152D, 153, 156-157, 162-163, 164-165, 168, 170D, 173, 183, 203, 204, 435
10.A.2b Using a data set, determine mean, median, mode and range, with and without the use of technology.
THIRD GRADE: Students will determine the mode from a bar graph that uses pictures to display data.
textbook pp. 223, 279, 280-281, 284-285, 288, 289, 290-291, 292, 293, 311, 312, 313, 329, 415
FOURTH GRADE: Students will determine mode and range from a bar graph.
textbook pp. 156-157, 158-159, 160, 168-169, 170-171, 176, 187, 196, 197, 251, 275, 331, 463
FIFTH GRADE: Students will determine mean, median, mode and range from a set of data with and without a calculator.
textbook pp. 152D, 153, 154-155, 156-157, 162-163, 168, 169, 173, 185, 189, 202, 204, 206, 207, 227, 267, 279, 365, 383, 437, 487
10.A.2c Make predictions and decisions based on data and communicate their reasoning.
THIRD GRADE: Students will summarize data in simple graphs and tables.
textbook pp. 200, 223, 257, 280-281, 288, 289, 290-291, 292, 307, 311, 312
FOURTH GRADE: Students will summarize data in simple graphs & tables & make predictions.
textbook pp. 31, 55, 58-59, 63, 65, 72, 77, 102-103, 111, 113, 118, 119, 135, 138, 143, 144, 156-157, 177, 191, 249, 261, 297, 303, 306, 315, 319, 323, 329, 335, 338, 339, 341, 343, 345, 347, 351, 421, 423, 447, 477, 479, 493, 501, 510-511, 517
FIFTH GRADE: Students will summarize data in complex graphs and tables and make predictions and justify their reasoning.
textbook pp. 3, 10, 11, 13, 14-15, 16, 21, 27, 33, 49, 57, 63, 68, 70, 77, 87, 97, 141, 143, 157, 160, 164, 165, 166, 176-177, 178-179, 181, 193, 195, 199, 201, 205, 225, 261, 313, 349, 423
10B. Formulate questions, design data collection methods, gather and analyze data and communicate findings.
Student Language: I can ask questions and collect data related to them. I can organize, display and compare my data. I can explain results and draw conclusions from my data. I can make predictions based on my data
10.B.2a Formulate questions of interest and select methods to systematically collect data.
THIRD GRADE: Students will formulate a question of interest and create a method to collect data.
textbook pp. 200, 264D, 266-267, 278D, 279, 283, 286, 289, 312, 385
FOURTH GRADE: Students will formulate a question of interest and create a method to collect data and analyze the data.
textbook pp. 51, 55, 58-59, 63, 65, 77, 111, 146D, 155, 157, 159, 162D, 163, 165, 166, 167, 194, 198, 329, 493, 503, 507, 509, 512
FIFTH GRADE: Students will formulate a question of interest, create a method to collect and analyze data, and discuss and write about their findings.
textbook pp. 19, 152D, 170D, 171, 177, 209
10.B.2b Collect, organize and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots and stem-and-leaf graphs.
THIRD GRADE: Students will collect and organize data and create and display a bar graph using pictures.
textbook pp. 259, 264D, 278D, 279, 282-283, 286-287, 385, 415, 503
FOURTH GRADE: Students will collect and organize data using a tally chart and display data in a bar graph.
textbook pp. 124D, 148, 150-151, 155, 158-159, 162D, 163, 164-165, 174-175, 197, 198, 503
FIFTH GRADE: Students will collect and organize data and create a bar graph, line graph, and stem and leaf graph.
textbook pp. 152D, 153, 156-157, 162-163, 164-165, 166-167, 168, 170D, 173, 181, 183, 202, 203, 204, 206, 435, 503, 507
10.B.2c Analyze the data using mean, median, mode and range, as appropriate, with or without the use of technology.
THIRD GRADE: Students will analyze mode from a bar graph made from pictures to display data.
textbook pp. 223, 279, 280-281, 284-285, 288, 289, 290-291, 292, 293, 311, 312, 313, 329, 415
FOURTH GRADE: Students will analyze mode and range from a bar graph.
textbook pp. 156-157, 158-159, 160, 168-169, 170-171, 176, 187, 196, 197, 251, 275, 331, 463
FIFTH GRADE: Students will analyze mean, median, mode and range from a set of data with and without a calculator.
textbook pp. 152D, 153, 154-155, 156-157, 162-163, 168, 169, 173, 185, 189, 202, 204, 206, 207, 227, 267, 279, 365, 383, 437, 487
10.B.2d Interpret results or make relevant decisions based on the data gathered.
THIRD GRADE: Students will read a simple bar graph and draw conclusions.
textbook pp. 288, 290-291, 292, 307, 311, 312
FOURTH GRADE: Students will read a simple bar graph, draw conclusions, and interpret results.
textbook pp. 156-157, 158-159, 160, 164-165, 176, 187, 197, 251, 297, 319, 329, 331, 463
FIFTH GRADE: Students will read a simple bar graph, draw conclusions, interpret results, and make relevant decisions.
textbook pp. 33, 164, 166, 178-179, 180, 261, 507
10C. Determine, describe and apply the probabilities of events.
Student Language: I can determine possible outcomes and describe them with numbers. I can determine the likelihood of an event happening. I can use counting principles to solve problems.
10.C.2a Calculate the probability of a simple event.
THIRD GRADE: Students will collect and record data from a simple experiment using dice, coins, or spinners.
textbook pp. 268-269, 270-271, 276, 294D, 295, 298-299, 300-301, 302-303, 306, 308, 311, 312, 327, 337, 343, 419, 423
FOURTH GRADE: Students will determine the number of possible outcomes from a simple experiment using dice, coins, or spinners.
textbook pp. 150-151, 179, 184-185, 192, 193, 217, 331, 447, 515
FIFTH GRADE: Students will calculate the probability of an outcome of a simple event.
textbook pp. 196-197, 198-199, 200, 205, 207, 227, 245, 343, 451, 474D, 511
10.C.2b Compare the likelihood of events in terms of certain, more likely, less likely or impossible.
THIRD and FOURTH GRADE: Students will compare the likelihood of events of an experiment in terms of more likely or less likely.
textbook pp. 269, 298-299, 302-303, 304-305, 306, 307, 308, 311, 387
textbook pp. 182-183, 184-185, 192, 197, 483
FIFTH GRADE: Students will compare the likelihood of events of an experiment in terms of more likely or less likely or impossible.
textbook pp. 188-189, 190-191, 198-199, 200, 201, 205, 207, 301, 305, 319, 335, 351, 385
10.C.2c Determine the probability of an event involving "and", "or" or "not".
FOURTH GRADE: Students will determine the probability of an event involving "and".
textbook pp. 186-187, 188-189, 192, 197, 198, 199, 235, 251, 311, 330, 351, 357, 395, 483
FIFTH GRADE: Students will determine the probability of an event involving "and", "or", or "not".
textbook pp. 196-197, 198-199, 200, 205, 207, 227, 245, 343, 451, 474D, 511