4th+Grade+Timeline+Sept+2010

  4.N.2 Represent, order, and compare large numbers (to at least 100,000) using various forms, including expanded notation, e.g., 853 = 8 x 100 + 5 x 10 + 3.  4.N.6 Exhibit an understanding of the base ten number system by reading, naming, and writing decimals between 0 and 1 up to the hundredths.  4.N.9 Select, use, and explain the commutative, associative, and identity properties of operations on whole numbers in problem situations, e.g., 37 x 46 = 46 x 37, (5 x 7) x 2 = 5 x (7 x 2).  4.N.12 Add and subtract (up to five-digit numbers) and multiply (up to three digits by two digits) accurately and efficiently.  4.N.14 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithms for addition and subtraction (up to five-digit numbers), and multiplication (up to three digits by two digits).   4.N.16 Round whole numbers through 100,000 to the nearest 10, 100, 1000, 10,000, and 100,000 4.N.17 Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer.  <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">Relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> || <span style="margin: 0in 0in 0pt 0.5in; mso-list: l3 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;"> · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 1:  ** <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Numeration <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';">1-1 <span style="font-family: 'Times New Roman','serif';">1-2 <span style="font-family: 'Times New Roman','serif';">1-3 <span style="font-family: 'Times New Roman','serif';">1-4 <span style="font-family: 'Times New Roman','serif';">1-5 <span style="font-family: 'Times New Roman','serif';">1-6 <span style="font-family: 'Times New Roman','serif';">1-7 <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || * <span style="font-family: 'Times New Roman','serif';">Fall Inventory <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.12 Add and subtract (up to five-digit numbers) and multiply (up to three digits by two digits) accurately and efficiently. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.14 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithms for addition and subtraction (up to five-digit numbers), and multiplication (up to three digits by two digits). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.17 Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> || <span style="margin: 0in 0in 0pt 0.5in; mso-list: l3 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;"> · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 2:  ** <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Adding and Subtracting Whole Numbers <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">  || <span style="font-family: 'Times New Roman','serif';">2-1 <span style="font-family: 'Times New Roman','serif';">2-2 <span style="font-family: 'Times New Roman','serif';">2-3 <span style="font-family: 'Times New Roman','serif';">2-4 <span style="font-family: 'Times New Roman','serif';">2-5 <span style="font-family: 'Times New Roman','serif';">2-6 <span style="font-family: 'Times New Roman','serif';">2-7 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick checks <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.8 Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.9 Select, use, and explain the commutative, associative, and identity properties of operations on whole numbers in problem situations, e.g., 37 x 46 = 46 x 37, (5 x 7) x 2 = 5 x (7 x 2). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.10Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.11Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.13 Divide up to a three-digit whole number with a single-digit divisor (with or without remainders) accurately and efficiently. Interpret any remainders. <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.14 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithms for addition and subtraction (up to five-digit numbers), and multiplication (up to three digits by two digits). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.15 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithm for division of up to a three-digit whole number with a single-digit divisor (with or without remainders). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.1 Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, …. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> || <span style="margin: 0in 0in 0pt 0.5in; mso-list: l3 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;"> · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 3:  **<span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> Multiplication Meanings and Facts <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">3-1 <span style="font-family: 'Times New Roman','serif';">3-2 <span style="font-family: 'Times New Roman','serif';">3-3 <span style="font-family: 'Times New Roman','serif';">3-4 <span style="font-family: 'Times New Roman','serif';">3-5 <span style="font-family: 'Times New Roman','serif';">3-6 <span style="font-family: 'Times New Roman','serif';">3-7 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">October Parent Benchmark Topics, 1, 2,3,4 <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.8 Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.9 Select, use, and explain the commutative, associative, and identity properties of operations on whole numbers in problem situations, e.g., 37 x 46 = 46 x 37, (5 x 7) x 2 = 5 x (7 x 2). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.10Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.11Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.13 Divide up to a three-digit whole number with a single-digit divisor (with or without remainders) accurately and efficiently. Interpret any remainders. <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.14 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithms for addition and subtraction (up to five-digit numbers), and multiplication (up to three digits by two digits). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.15 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithm for division of up to a three-digit whole number with a single-digit divisor (with or without remainders). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.1 Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, …. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> || <span style="margin: 0in 0in 0pt 0.5in; mso-list: l3 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;"> · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 4:  **<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="margin: 0in 0in 0pt 0.5in; mso-list: l3 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;"> · <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Division Meanings and Facts <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';">4-1 <span style="font-family: 'Times New Roman','serif';">4-2 <span style="font-family: 'Times New Roman','serif';">4-3 <span style="font-family: 'Times New Roman','serif';">4-4 <span style="font-family: 'Times New Roman','serif';">4-5 || * <span style="font-family: 'Times New Roman','serif';">Quick checks <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.11Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4 .N.17 Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.2 Use symbol and letter variables (e.g., D <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">, x) to represent unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 5:  **<span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Multiplying by 1-Digit Numbers <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';">5-1 <span style="font-family: 'Times New Roman','serif';">5-2 <span style="font-family: 'Times New Roman','serif';">5-3 <span style="font-family: 'Times New Roman','serif';">5-4 <span style="font-family: 'Times New Roman','serif';">5-5 <span style="font-family: 'Times New Roman','serif';">5-6 <span style="font-family: 'Times New Roman','serif';">5-7 <span style="font-family: 'Times New Roman','serif';">5-8 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick checks  || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.11Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4 .N.17 Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.2 Use symbol and letter variables (e.g., D <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">, x) to represent unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 6:  **<span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Patterns and Expressions <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';">6-1 <span style="font-family: 'Times New Roman','serif';">6-2 <span style="font-family: 'Times New Roman','serif';">6-3 <span style="font-family: 'Times New Roman','serif';">6-4 || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.11Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500 <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.14 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithms for addition and subtraction (up to five-digit numbers), and multiplication (up to three digits by two digits). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.17 Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> 4.P.1 Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, …. :    <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.2 Use symbol and letter variables (e.g., D <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">, x) to represent unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 7:  **<span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> Multiplying by 2-Digit Numbers <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">7-1 <span style="font-family: 'Times New Roman','serif';">7-2 <span style="font-family: 'Times New Roman','serif';">7-3 <span style="font-family: 'Times New Roman','serif';">7-4 <span style="font-family: 'Times New Roman','serif';">7-5 <span style="font-family: 'Times New Roman','serif';">7-6 <span style="font-family: 'Times New Roman','serif';">7-7 <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.14 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithms for addition and subtraction (up to five-digit numbers), and multiplication (up to three digits by two digits). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.15 Demonstrate in the classroom an understanding of and the ability to use the conventional algorithm for division of up to a three-digit whole number with a single-digit divisor (with or without remainders). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.17 Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.1 Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, …. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topics 8:   ** <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Dividing by 1-Digit Divisors <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';">8-1 <span style="font-family: 'Times New Roman','serif';">8-2 <span style="font-family: 'Times New Roman','serif';">8-3 <span style="font-family: 'Times New Roman','serif';">8-4 <span style="font-family: 'Times New Roman','serif';">8-5 <span style="font-family: 'Times New Roman','serif';">8-6 <span style="font-family: 'Times New Roman','serif';">8-7 <span style="font-family: 'Times New Roman','serif';">8-8 <span style="font-family: 'Times New Roman','serif';">8-9 <span style="font-family: 'Times New Roman','serif';">8-10 <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || * <span style="font-family: 'Times New Roman','serif';">January Report Card Benchmark <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.4Select, use, and explain models to relate common fractions and mixed numbers (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, and 11/2), find equivalent fractions, mixed numbers, and decimals, and order fractions. : <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.10Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.18 Use concrete objects and visual models to add and subtract common fractions. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.1 Compare and analyze attributes and other features (e.g., number of sides, faces, corners, right angles, diagonals, and symmetry) of two- and three-dimensional geometric shapes <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.2 Describe, model, draw, compare, and classify two- and three-dimensional shapes, e.g., circles, polygons—especially triangles and quadrilaterals—cubes, spheres, and pyramids. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.4 Identify angles as acute, right, or obtuse. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.5 Describe and draw intersecting, parallel, and perpendicular lines <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 9:  **<span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Lines, Angles, and Shapes <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif';">9-1 <span style="font-family: 'Times New Roman','serif';">9-2 <span style="font-family: 'Times New Roman','serif';">9-3 <span style="font-family: 'Times New Roman','serif';">9-4 <span style="font-family: 'Times New Roman','serif';">9-5 <span style="font-family: 'Times New Roman','serif';">9-6 <span style="font-family: 'Times New Roman','serif';">9-7 <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.4 Select, use, and explain models to relate common fractions and mixed numbers (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, and 11/2), find equivalent fractions, mixed numbers, and decimals, and order fractions. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.10Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 10  **<span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Understanding Fractions <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">10-1 <span style="font-family: 'Times New Roman','serif';">10-2 <span style="font-family: 'Times New Roman','serif';">10-3 <span style="font-family: 'Times New Roman','serif';">10-4 <span style="font-family: 'Times New Roman','serif';">10-5 <span style="font-family: 'Times New Roman','serif';">10-6 <span style="font-family: 'Times New Roman','serif';">10-7 <span style="font-family: 'Times New Roman','serif';">10-8 <span style="font-family: 'Times New Roman','serif';">10-9 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || · <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Adding and Subtracting Fractions <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">11-1 <span style="font-family: 'Times New Roman','serif';">11-2 <span style="font-family: 'Times New Roman','serif';">11-3 <span style="font-family: 'Times New Roman','serif';">11-4 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.4 Select, use, and explain models to relate common fractions and mixed numbers (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, and 11/2), find equivalent fractions, mixed numbers, and decimals, and order fractions. : <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.5 Identify and generate equivalent forms of common decimals and fractions less than one whole (halves, quarters, fifths, and tenths). : <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.6 Exhibit an understanding of the base ten number system by reading, naming, and writing decimals between 0 and 1 up to the hundredths. || · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 12:  **<span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Understanding Decimals <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">12-1 <span style="font-family: 'Times New Roman','serif';">12-2 <span style="font-family: 'Times New Roman','serif';">12-3 <span style="font-family: 'Times New Roman','serif';">12-4 <span style="font-family: 'Times New Roman','serif';">12-5 <span style="font-family: 'Times New Roman','serif';">12-6 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.10Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 13:  **<span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Operations with Decimals <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">13-1 <span style="font-family: 'Times New Roman','serif';">13-2 <span style="font-family: 'Times New Roman','serif';">13-3 <span style="font-family: 'Times New Roman','serif';">13-4 <span style="font-family: 'Times New Roman','serif';">13-5 <span style="font-family: 'Times New Roman','serif';">13-6 <span style="font-family: 'Times New Roman','serif';">13-7 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.M.4 Estimate and find area and perimeter of a rectangle, triangle, or irregular shape using diagrams, models, and grids or by measuring ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 14:  **<span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Area and Perimeter <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">14-1 <span style="font-family: 'Times New Roman','serif';">14-2 <span style="font-family: 'Times New Roman','serif';">14-3 <span style="font-family: 'Times New Roman','serif';">14-4 <span style="font-family: 'Times New Roman','serif';">14-5 <span style="font-family: 'Times New Roman','serif';">14-6 <span style="font-family: 'Times New Roman','serif';">14-7 <span style="font-family: 'Times New Roman','serif';">14-8 <span style="font-family: 'Times New Roman','serif';">14-9 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.5 Identify and generate equivalent forms of common decimals and fractions less than one whole (halves, quarters, fifths, and tenths). : <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.6 Exhibit an understanding of the base ten number system by reading, naming, and writing decimals between 0 and 1 up to the hundredths. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.10Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.1 Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, …. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.1 Compare and analyze attributes and other features (e.g., number of sides, faces, corners, right angles, diagonals, and symmetry) of two- and three-dimensional geometric shapes <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.2 Describe, model, draw, compare, and classify two- and three-dimensional shapes, e.g., circles, polygons—especially triangles and quadrilaterals—cubes, spheres, and pyramids. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.M.1 Demonstrate an understanding of such attributes as length, area, weight, and volume, and select the appropriate type of unit for measuring each attribute <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 15:  ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> · <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Solids <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';">15-1 <span style="font-family: 'Times New Roman','serif';">15-2 <span style="font-family: 'Times New Roman','serif';">15-3 <span style="font-family: 'Times New Roman','serif';">15-4 <span style="font-family: 'Times New Roman','serif';">15-5 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.M.2 Carry out simple unit conversions within a system of measurement, e.g., hours to minutes, cents to dollars, yards to feet or inches, etc <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.M.3 Identify time to the minute on analog and digital clocks using a.m. and p.m. Compute elapsed time using a clock (e.g., hours and minutes since…) and using a calendar (e.g., days since…). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.M.5 Identify and use appropriate metric and English units and tools (e.g., ruler, angle ruler, graduated cylinder, thermometer) to estimate, measure, and solve problems involving length, area, volume, weight, time, angle size, and temperature. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 16  **** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">:  ** <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Measurement, Time, and Temperature <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';">16-1 <span style="font-family: 'Times New Roman','serif';">16-2 <span style="font-family: 'Times New Roman','serif';">16-3 <span style="font-family: 'Times New Roman','serif';">16-4 <span style="font-family: 'Times New Roman','serif';">16-5 <span style="font-family: 'Times New Roman','serif';">16-6 <span style="font-family: 'Times New Roman','serif';">16-7 <span style="font-family: 'Times New Roman','serif';">16-8 <span style="font-family: 'Times New Roman','serif';">16-9 <span style="font-family: 'Times New Roman','serif';">16-10 <span style="font-family: 'Times New Roman','serif';">16-11 <span style="font-family: 'Times New Roman','serif';">16-12 <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.3 Determine values of variables in simple equations, e.g., 4106 – Ñ <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> = 37, 5 = m  <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> + 3, and c <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> –  m  <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> = 3. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.6 Using ordered pairs of numbers and/or letters, graph, locate, identify points, and describe paths (first quadrant). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.D.1 Collect and organize data using observations, measurements, surveys, or experiments, and identify appropriate ways to display the data <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.D.2.Match a representation of a data set such as lists, tables, or graphs (including circle graphs) with the actual set of data. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.D.3 Construct, draw conclusions, and make predictions from various representations of data sets, including tables, bar graphs, pictographs, line graphs, line plots, and tallies <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 17:   ** <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Data and Graphs (focus on Stem & leaf, line plot, line graph) <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">17-1 <span style="font-family: 'Times New Roman','serif';">17-2 <span style="font-family: 'Times New Roman','serif';">17-3 <span style="font-family: 'Times New Roman','serif';">17-4 <span style="font-family: 'Times New Roman','serif';">17-5 <span style="font-family: 'Times New Roman','serif';">17-6 <span style="font-family: 'Times New Roman','serif';">17-7 <span style="font-family: 'Times New Roman','serif';">17-8 <span style="font-family: 'Times New Roman','serif';">17-9 <span style="font-family: 'Times New Roman','serif';">17-10 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Review ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">  || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">* <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.3 Determine values of variables in simple equations, e.g., 4106 – Ñ <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> = 37, 5 = m  <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> + 3, and c <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> –  m  <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> = 3 <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.4 Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships. || · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 18:  **<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Equations <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">18-1 <span style="font-family: 'Times New Roman','serif';">18-2 <span style="font-family: 'Times New Roman','serif';">18-3 <span style="font-family: 'Times New Roman','serif';">18-4 <span style="font-family: 'Times New Roman','serif';">18-5 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.G.7 Describe and apply techniques such as reflections (flips), rotations (turns), and translations (slides) for determining if two shapes are congruent. <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.G.8 Identify and describe line symmetry in two-dimensional shapes. <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 19:  **<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Transformations, Congruence, and Symmetry <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;"> || <span style="font-family: 'Times New Roman','serif';">19-1 <span style="font-family: 'Times New Roman','serif';">19-2 <span style="font-family: 'Times New Roman','serif';">19-3 <span style="font-family: 'Times New Roman','serif';">19-4 <span style="font-family: 'Times New Roman','serif';">19-5 <span style="font-family: 'Times New Roman','serif';">19-6 <span style="font-family: 'Times New Roman','serif';">19-7 <span style="font-family: 'Times New Roman','serif';"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif';"> || <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.D.3 Construct, draw conclusions, and make predictions from various representations of data sets, including tables, bar graphs, pictographs, line graphs, line plots, and tallies <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.D.4 Represent the possible outcomes for a simple probability situation, e.g., the probability of drawing a red marble from a bag containing three red marbles and four green marbles. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.D.5 List and count the number of possible combinations of objects from three sets, e.g., how many different outfits can one make from a set of three shirts, a set of two skirts, and a set of two hats? <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.D.6 Classify outcomes as certain, likely, unlikely, or impossible by designing and conducting experiments using concrete objects such as counters, number cubes, spinners, or coins <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;"> <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;"> ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 20:  **<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;">Probability <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 13pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';">20-1 <span style="font-family: 'Times New Roman','serif';">20-2 <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || * <span style="font-family: 'Times New Roman','serif';">Quick Checks <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">  || <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif';"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">  || <span style="font-family: 'Times New Roman','serif';">
 * __<span style="font-family: 'Arial','sans-serif';">Grade 4 Math Timeline 2010-2011 __ **
 * ** __<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Month __ ** || ** __<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Standards __ ** || ** __<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Topics __ ** || ** __<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Lessons __ ** || ** __<span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Assessments __ ** ||
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Sept. ** || <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.1 Exhibit an understanding of the base ten number system by reading, modeling, writing, and interpreting whole numbers to at least 100,000; demonstrating an understanding of the values of the digits; and comparing and ordering the numbers.  <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">
 * <span style="font-family: 'Times New Roman','serif';">Quick checks
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.9 Select, use, and explain the commutative, associative, and identity properties of operations on whole numbers in problem situations, e.g., 37 x 46 = 46 x 37, (5 x 7) x 2 = 5 x (7 x 2).
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Oct. ** || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">
 * <span style="font-family: 'Times New Roman','serif';">Quick Checks ||
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Nov. ** || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.8 Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.8 Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations.
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Dec. ** || <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.10Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Jan. ** || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.7 Recognize classes (in particular, odds, evens; factors or multiples of a given number; and squares) to which a number may belong, and identify the numbers in those classes. Use these in the solution of problems.
 * <span style="font-family: 'Times New Roman','serif';">Quick Checks
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Feb. ** || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.3 Demonstrate an understanding of fractions as parts of unit wholes, as parts of a collection, and as locations on the number line.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.3 Demonstrate an understanding of fractions as parts of unit wholes, as parts of a collection, and as locations on the number line
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.18 Use concrete objects and visual models to add and subtract common fractions.  ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">Topic 11:  **<span style="font-family: 'Times New Roman','serif';">
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">March ** || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.N.3 Demonstrate an understanding of fractions as parts of unit wholes, as parts of a collection, and as locations on the number line
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.6 Exhibit an understanding of the base ten number system by reading, naming, and writing decimals between 0 and 1 up to the hundredths.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.M.1 Demonstrate an understanding of such attributes as length, area, weight, and volume, and select the appropriate type of unit for measuring each attribute
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.N.4 Select, use, and explain models to relate common fractions and mixed numbers (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, and 11/2), find equivalent fractions, mixed numbers, and decimals, and order fractions.  : <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">April ** || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.M.1 Demonstrate an understanding of such attributes as length, area, weight, and volume, and select the appropriate type of unit for measuring each attribute
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">May ** || <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">4.P.2 Use symbol and letter variables (e.g., D <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">, x) to represent unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >). <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="background: yellow; font-family: 'Times New Roman','serif'; font-size: 10pt;">  ||  · ** <span style="font-family: 'Times New Roman','serif'; font-size: 14pt;">MCAS  **
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> ||   4.P.2 Use symbol and letter variables (e.g.,  D , x) to ** represent ** unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >). l
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt; layout-grid-mode: line;">4.G.3 Recognize similar figures
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;"> || <span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">
 * <span style="font-family: 'Times New Roman','serif';">Math MCAS
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">June ** || <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">  || <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">  || <span style="font-family: 'Times New Roman','serif';">  || <span style="font-family: 'Times New Roman','serif';">* Cumulative End of the Year  ||
 * ** <span style="font-family: 'Times New Roman','serif'; font-size: 16pt;">Centers ** || <span style="font-family: 'Times New Roman','serif';">