Oklahoma Academic Standards for Mathematics Grade 5
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1 A Correlation of Oklahoma 2019 To the
2 to the Table of Contents Math Actions and Processes... 1 Number & Operations (N)... 4 Algebraic Reasoning & Algebra (A)... 6 Geometry & Measurement (GM)... 6 Data & Probability (D)... 8 Copyright 2017 Pearson Education, Inc. or its affiliate(s). All rights reserved
3 to the Math Actions and Processes Develop a Deep and Flexible Conceptual Understanding Demonstrate a deep and flexible conceptual understanding of mathematical concepts, operations, and relations while making mathematical and real world connections. Students will develop an understanding of how and when to apply and use the mathematics they know to solve problems. SE: F24, 5, 8, 62, 84, 132, , 192, 219, 248, 254, 318, 352, 378, 437, 464, 493, , 552, , 620, 656, 684, 717, 722, 762, 764, 777, 795, 825, 830, 851, 863 TE: F24 F24A, 5A, 11A, 17, 23A, 29A, 35A, 59A, 65A, 71A, 77A, 83A, 89A, 131A, 137A, 143A, 177A, 189A, 195A, 219A, 245A, 251A, 257A, 263A, 275A, 281A, 313A, 319A, 325A, 337A, 349A, 377A, 383A, 389A, 395A, 407A, 419A, 425A, 431A, 437A, 457A, 463A, 469A, 475A, 481A, 493A, 505A, 527A, 533A, 539A, 545A, 551A, 557A, 563A, 569A, 593A, 599A, 605A, 611A, 617A, 639A, 651A, 681A, 705A, 711A, 717A,, 735A, 747A, 759A, 777A, 789A, 795A, 813A, 819A, 825A, 851A, 863A, 889A, 901A, 905A, 913A, 921A Develop Accurate and Appropriate Procedural Fluency Learn efficient procedures and algorithms for computations and repeated processes based on a strong sense of numbers. Develop fluency in addition, subtraction, multiplication, and division of numbers and expressions. Students will generate a sophisticated understanding of the development and application of algorithms and procedures. SE: F22, 12, 35, 47, 60, 90, 101, 125, 131, 155, 171, 183, 225, 263, 276, 287, 301, 325, 355, 407, 419, 443, 463, 499, 528, 564, 588, 600, 664, , 699, 711, 760, 767, 795, 803, 813, 819, 869, 872 TE: F22 F22A, 5A, 1A, 17A, 23A, 35A, 47, 59A, 65A, 77A, 89A, 95A, 101, 119A, 125A, 131A, 137A, 143A, 149A, 155, 165A, 171A, 195A, 201A, 207A, 219A, 225, 239A, 245A, 251A, 257A, 263A, 269A, 275A, 281A, 287, 301A, 307A, 313A, 319A, 325A, 331A, 337A, 349A, 355, 371A, 389A, 395A, 401A, 407A, 413A, 419A, 425A, 431A, 437A, 443, 457A, 463A, 469A, 475A, 481A, 487A, 493A, 499A, 527A, 533A, 539A, 545A, 551A, 557A, 563A, 569A, 587A, 593A, 599A, 605A, 611A, 617A, 639A, 645A, 657A, 663A, 669A, 675A, 681A, 699A, 705A, 711A, 717A, 735A, 747A, 755A, 759A, 777A, 783A, 795A, 813A, 819A, 851A, 857A, 863A, 869A, 885A, 889A, 893A, 897A, 901A, 905A, 909A, 913A, 917A, 921A 1
4 to the Develop Strategies for Problem Solving Analyze the parts of complex mathematical tasks and identify entry points to begin the search for a solution. Students will select from a variety of problem solving strategies and use corresponding multiple representations (verbal, physical, symbolic, pictorial, graphical, tabular) when appropriate. They will pursue solutions to various tasks from real-world situations and applications that are often interdisciplinary in nature. They will find methods to verify their answers in context and will always question the reasonableness of solutions. SE: F21, 8, 46, 78, 84, 120, 128, 184, 196, 246, 252, 338,343, 395, 401, 443, , , , 575, 588, 612, 623, 640, 664, 687, 712, 720, 723, 748, 754, 765, 785, 790, 801, 825, 837, 839, 857, 869 TE: F21 F21A, 5A, 23A, 29A, 35A, 41A, 71A, 83A, 89A, 95A, 113A, 119A, 125A, 131A, 137A, 143A, 149A, 195A, 201A, 207A, 213A, 219A, 245A, 251A, 257A, 263A, 269A, 275A, 281A, 307A, 319A, 325A, 343A, 349A, 377A, 383A, 395A, 401A, 407A, 413A, 419A, 425A, 431A, 437A, 443, 481A, 487A, 493A, 505A, 511, 527A, 533A, 545A, 557A, 563A, 575, 593A, 599A, 605A, 617A, 623, 669A, 675A, 681A, 687, 699A, 705A, 711A, 717A, 723, 741A, 759A, 765, 783A, 795A, 801, 825A, 831A, 837, 851A, 857A, 869A, 893A, 901A, 917A Develop Mathematical Reasoning Explore and communicate a variety of reasoning strategies to think through problems. Students will apply their logic to critique the thinking and strategies of others to develop and evaluate mathematical arguments, including making arguments and counterarguments and making connections to other contexts. SE: F23, 17, 40, 59 60, 91 92, 119, 128, 177, 192, 250, 264, 303, 338, 425, 431, , , 527, 554, 593, 612, 646, 658, 712, , 741, 754, 783, 790, 825, 827, 858, 862 TE: F23 F23A, 11A, 17A, 23A, 29A, 35A, 59A, 65A, 71A, 77A, 83A, 89A, 95A, 113A, 119A, 125A, 131A, 137A, 143A, 149A, 165A, 177A, 183A, 189A, 195A, 207A, 213A, 239A, 245A, 257A, 269A, 281A, 301A, 307A, 313A, 319A, 331A, 337A, 343A, 349A, 371A, 377A, 383A, 389A, 395A, 401A, 407A, 413A, 419A, 425A, 431A, 437A, 457A, 463A, 469A, 481A, 487A, 493A, 505A, 527A, 533A, 551A, 569A, 593A, 611A, 617A, 657A, 663A, 675A, 711A, 717A, 735A, 741A, 747A, 753A, 759A, 777A, 783A, 813A, 819A, 825A, 851A, 857A, 863A, 869A, 885A, 893A, 901A, 905A, 921A 2
5 to the Develop a Productive Mathematical Disposition Hold the belief that mathematics is sensible, useful and worthwhile. Students will develop the habit of looking for and making use of patterns and mathematical structures. They will persevere and become resilient, effective problem solvers. Develop the Ability to Make Conjectures, Model, and Generalize Make predictions and conjectures and draw conclusions throughout the problem-solving process based on patterns and the repeated structures in mathematics. Students will create, identify, and extend patterns as a strategy for solving and making sense of problems. Develop the Ability to Communicate Mathematically Students will discuss, write, read, interpret and translate ideas and concepts mathematically. As they progress, students ability to communicate mathematically will include their increased use of mathematical language and terms and analysis of mathematical definitions. 3 SE: F27, 23, 43 44, 92, 83 84, 113, 127, 155, , 201, 240, 281, 287, , 340, 355, 382, 425, 458, 500, 511, 540, 552, , 620, 623, 657, 669, 687, 705, 708, 753, 758, 795, 800, 801, 819, 825, 863, 869, 875 TE: F27 F27A, 5A, 11A, 17A, 23A, 29A, 35A, 41A, 83A, 89A, 113A, 125A, 131A, 155, 165A, 201A, 213A, 239A, 263A, 269A, 281A, 287, 301A, 325A, 337A, 355, 337A, 389A, 395A, 413A, 425A, 457A, 499A, 511, 539A, 587A, 599A, 605A, 617A, 623, 657A, 663A, 669A, 687, 699A, 705A, 741A, 753A, 789A, 795A, 801, 813A, 819A, 825A, 863A, 869A, 875, 905A, 921A SE: F28, 44, 46, 77, 88, 132, 138, 184, 213, 239, 257, 326, , 389, 401, 470, 482, , 574, 575, , 616, , 652, 705, 713, 723, 747, 765, 783, 785, 819, 820, 858, 864 TE: F28 F28A, 23A, 41A, 59A, 77A, 83A, 89A, 125A, 171A, 183A, 189A, 207A, 213A, 239A, 257A, 263A, 313A, 319A, 337A, 343A, 371A, 389A, 401A, 419A, 493A, 551A, 557A, 569A, 575, 599A, 611A, 639A, 645A, 651A, 663A, 675A, 705A, 711A, 723, 747A, 765, 783A, 819A, 857A, 905A, 909A, 917A SE: F26; 29, 36, 47, 61, 78, 101, 118, 152, 155, 184, 186, 225, 242, 254, 287, 340, 344, 355, 428, 434, 443, 470, 480, 511, 533, 536, 575, 598, 623, 676, , 687, 717, 720, 723, 759, 765, 777, 789, 801, 836, 837, 839, 874, 875, 877 TE: F26 F26A, 5A, 17A, 29A, 35A, 41A, 47, 59A, 101, 113A, 143A, 194A, 155, 171A, 183A, 189A, 20A, 213A, 219A, 225, 239A, 251A, 257A, 281A, 287, 337A, 343A, 349A, 355, 401A, 425A, 431A, 443, 457A, 469A, 475A, 481A, 487A, 505A, 511, 533A, 563A, 569A, 575, 593A, 623, 639A, 651A, 675A, 681A, 687, 699A, 705A, 717A, 723, 741A, 759A, 765, 777A, 783A, 789A, 801, 831A, 837, 857A, 869A, 875, 897A, 901A
6 to the Number & Operations (N) 5.N.1 Divide multi digit numbers and solve real world and mathematical problems using arithmetic. 5.N.1.1 Estimate solutions to division problems in SE: , order to assess the reasonableness of results. TE: 245A 250, 269A N.1.2 Divide multi digit numbers, by one and two digit divisors, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. SE: , , , , , , OK5 OK6 TE: 239A 244, 251A 256, 257A 262, 263A 268, 275A 280, 281A 286, OK2 5.N.1.3 Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal and consider the context in which a problem is situated to select and interpret the most useful form of the quotient for the solution. 5.N.1.4 Solve real world and mathematical problems requiring addition, subtraction, multiplication, and division of multi digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results. SE: , , , , OK5 OK6 TE: 263A 268, 275A 280, 281A 286, 533A 538, OK2 SE: , , , , , , , , , , , , , , , , , , TE: 113A 118, 119A 124, 125A 130, 131A 136, 137A 142, 143A 148, 149A 154, 239A 244, 245A 250, 251A 256, 257A 262, 263A 268, 269A 274, 275A 280, 281A 286, 741A 746, 747A 752, 753A 758, 759A N.2 Read, write, represent, and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real world and mathematical situations. 5.N.2.1 Represent decimal fractions (e.g., 1/10, SE: 17 22, 23 28, /100) using a variety of models (e.g., 10 by 10 grids, rational number wheel, base ten blocks, TE: 17A 22, 23A 28, 41A 46 meter stick) and make connections between fractions and decimals. 4
7 to the 5.N.2.2 Represent, read and write decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers as large as millions. SE: 17 22, 23 28, TE: 17A 22, 23A 28, 41A 46 5.N.2.3 Compare and order fractions and decimals, including mixed numbers and fractions less than one, and locate on a number line. SE: 29 34, OK11 OK12 TE: 29A 34, OK4 5.N.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers, and fractions less than one in various contexts. SE: 23 28, , , , OK9 OK10 TE: 23A 28, 377A 382, 407A 412, 419A 424, OK3 5.N.3 Add and subtract fractions with like and unlike denominators, mixed numbers and decimals to solve real world and mathematical problems. 5.N.3.1 Estimate sums and differences of fractions SE: 65 70, , with like and unlike denominators, mixed numbers, and decimals to assess the TE: 65A 70, 371A 376, 401A 406 reasonableness of the results. 5.N.3.2 Illustrate addition and subtraction of fractions with like and unlike denominators, mixed numbers, and decimals using a variety of representations (e.g., fraction strips, area models, number lines, fraction rods). SE: 71 76, , , , , , , TE: 71A 76, 383A 388, 389A 394, 407A 412, 413A 418, 419A 424, 425A 430, 437A N.3.3 Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real world and mathematical problems including those involving money, measurement, geometry, and data. SE: 59 64, 71 76, 77 82, 83 88, 89 94, , , , , , , , , , , OK31 OK32, OK49 OK50, OK59 OK60 TE: 59A 64, 71A 76, 77A 82, 83A 88, 89A 94, 95A 100, 383A 388, 389A 394, 395A 400, 413A 418, 425A 430, 431A 436, 437A 442, 711A 716, 717A 722, OK11, OK18, OK21 5.N.3.4 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find more than a number and less than a number. SE: OK1 OK2 TE: OK1 5
8 to the Algebraic Reasoning & Algebra (A) 5.A.1 Describe and graph patterns of change created through numerical patterns. 5.A.1.1 Use tables and rules of up to two operations to describe patterns of change and make predictions and generalizations about real world and mathematical problems. SE: , , , , , , OK53 OK54 TE: 789A 794, 795A 800, 813A 818, 819A 824, 825A 830, 831A 836, OK19 5.A.1.2 Use a rule or table to represent ordered pairs of whole numbers and graph these ordered pairs on a coordinate plane, identifying the origin and axes in relation to the coordinates. SE: , , , TE: 789A 794, 795A 800, 825A 830, 831A A.2 Understand and interpret expressions, equations, and inequalities involving variables and whole numbers, and use them to represent and evaluate real world and mathematical problems. 5.A.2.1 Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents). SE: 59 64, , , , , TE: 59A 64, 735A 740, 741A 746, 747A 752, 753A 758, 759A A.2.2 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable. SE: OK43 OK44, OK45 OK46 TE: OK16, OK17 5.A.2.3 Evaluate expressions involving variables when values for the variables are given. SE: OK39 OK40, OK41 OK42 TE: OK14, OK15 Geometry & Measurement (GM) 5.GM.1 Describe, classify, and draw representations of two- and three- dimensional figures. 5.GM.1.1 Describe, classify and construct triangles, SE: , including equilateral, right, scalene, and isosceles triangles. Recognize triangles in various contexts. TE: 851A 856, 869A GM.1.2 Describe and classify three dimensional figures including cubes, rectangular prisms, and pyramids by the number of edges, faces or vertices as well as the shapes of faces. SE: OK15 OK16, OK17 OK18 TE: OK5, OK6 6
9 to the 5.GM.1.3 Recognize and draw a net for a three dimensional figure (e.g., cubes, rectangular prisms, pyramids). SE: OK17 OK18 TE: OK6 5.GM.2 Understand how the volume of rectangular prisms and surface area of shapes with polygonal faces are determined by the dimensions of the object and that shapes with varying dimensions can have equivalent values of surface area or volume. 5.GM.2.1 Recognize that the volume of rectangular prisms can be determined by the number of cubes (n) and by the product of the dimensions of the prism (a b c = n). Know that rectangular prisms of different dimensions (p, q, and r) can have the same volume if a b c = p q r = n. SE: , , , , , , OK21 OK22 TE: 587A 592, 593A 598, 599A 604, 605A 610, 611A 616, 617A 622, OK8 5.GM.2.2 Recognize that the surface area of a three dimensional figure with rectangular faces with whole numbered edges can be found by finding the area of each component of the net of that figure. Know that three dimensional shapes of different dimensions can have the same surface area. SE: OK19 OK20 TE: OK7 5.GM.2.3 Find the perimeter of polygons and create arguments for reasonable values for the perimeter of shapes that include curves. SE: OK59 OK60 TE: OK21 5.GM.3 Understand angle and length as measurable attributes of real-world and mathematical objects. Use various tools to measure angles and lengths. 5.GM.3.1 Measure and compare angles according SE: OK57 OK58 to size. TE: OK20 5.GM.3.2 Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or 1/16-inch. SE: OK25 OK26, OK27 OK28 TE: OK9, OK10 5.GM.3.3 Recognize and use the relationship between inches, feet, and yards to measure and compare objects. SE: , , TE: 639A 644, 675A 680, 681A 686 7
10 to the 5.GM.3.4 Recognize and use the relationship between millimeters, centimeters, and meters to measure and compare objects. SE: , , OK27 OK28 TE: 657A 662, 675A 680, OK10 Data & Probability (D) 5.D.1 Display and analyze data to find the range and measures of central tendency (mean, median, and mode). 5.D.1.1 Find the measures of central tendency SE: OK33 OK34, OK35 OK36 (mean, median, or mode) and range of a set of data. Understand that the mean is a leveling out TE: OK12, OK13 or central balance point of the data. 5.D.1.2 Create and analyze line and double-bar graphs with whole numbers, fractions, and decimals increments. SE: , OK31 OK32, OK49 OK50 TE: 783A 788, OK11, OK18 8
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