Math Curriculum Map - Grade 5 September 2016 : Grade 5

1 | Math Curriculum Map - Grade 5 September 2016 | ||||||
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2 | Trimester 1 | Unit of Study | Topics | Standards | Skills | Summative Assessments | Curriculum Concerns |

3 | Module 1 - Place Value and Decimal Fractions (20 days) | 1. Multiplicative patterns on the place value chart | 5.NBT.1 | Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 as of what it represents in the place to its left. | Mid-module Assessment: 5.NBT.1, 5.NBT.2, 5.NBT.3, 5.NBT.4, 5.MD.1 | ||

4 | 5.NBT.2 | Explain patterns of zeroes in an answer when multiplying a number by powers of 10; explain patterns of decimal placement when a decimal is multiplied or divided by a power of 10; use whole number exponents to show powers of 10. | |||||

5 | 5.MD.1 | Convert among different sized standard measurement units and use to solve multi-step real world problems. | |||||

6 | 2. Decimal fractions and place value patterns | 5.NBT.3a | Read and write decimals to thousandths using unit form and expanded form. | ||||

7 | 5.NBT.3b | Use place value understanding to compare decimals up to thousandths using <>=symbols | |||||

8 | 3.Place value and rounding decimal fractions | 5.NBT.4 | Use place value understanding to round decimals to any place. | ||||

9 | 4.Adding and subtracting decimals | 5.NBT.2 | Understand placement of decimal when adding like units. | ||||

10 | 5.NBT.3 | Read, write and compare decimals using base ten units. | |||||

11 | 5.NBT.7 | Add/Subtract decimals to hundredths using models and strategies based on place value or the inverse operation. | |||||

12 | 5. Multiplying decimals | 5.NBT.2 | Understand placement of decimal when multiplying like units. | ||||

13 | 5.NBT.3 | Read, write and compare decimals using base ten units. | |||||

14 | 5.NBT.7 | Multiply decimals by single digit whole numbers using models and strategies based on place value and estimation | |||||

15 | 6. Dividing decimals | 5.NBT.3 | Read, write and compare decimals using base ten units. | ||||

16 | 5.NBT.7 | Divide decimals by single digit whole numbers using models and strategies based on place value and estimation. | End-of-module Assessment: 5.NBT.1, 5.NBT.2, 5.NBT.3, 5.NBT.4, 5.NBT.7 | ||||

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18 | Module 2- Multi-Digit Whole Number and Decimal Fraction Operations ( 35 Days) | 1. Mental Strategies for Multi-digit whole number multiplication | 5.NBT.1 | Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 as of what it represents in the place to its left. | Mid module assessment - 5.OA.1, 5.OA.2, 5.NBT.1, 5.NBT.2, NBt.5, NBT.7, MD.1 | ||

19 | 5.NBT.2 | Explain patterns of zeroes in an answer when multiplying a number by powers of 10. | |||||

20 | 5.OA.1 | Interpret a multiplication equation as a comparison. | |||||

21 | 2. Standard Algorithm for Multi-digit Whole Number Multiplication | 5.OA.1 | Interpret a multiplication equation as a comparison. | ||||

22 | 5.OA.2 | Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating. | |||||

23 | 5.NBT.5 | Fluently multiply multi digit whole numbers using standard algorithm. | |||||

24 | 3. Decimal Multi-digit Multiplication | 5.NBT.7 | Multiply decimals to hundredths using concrete models and strategies based on place value. | ||||

25 | 5.OA.2 | Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating. | |||||

26 | 5.NBT.1 | Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 as of what it represents in the place to its left. | |||||

27 | 4. Measurement Word Problems with Whole Numbers and Decimal Multiplication | 5.NBT.5 | Fluently multiply multi digit whole numbers using standard algorithm. | ||||

28 | 5.NBT.7 | Multiply decimals to hundredths using models/drawings and strategies based on place value. | |||||

29 | 5.MD.1 | Convert among different sized standard measurement units and use to solve multi-step real world problems. | |||||

30 | 5. Mental Strategies for Multi-digit Whole Number Division | 5.NBT.1 | Recognize that in a multi-digit number,a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 as of what it represents in the place to its left. | ||||

31 | 5.NBT.2 | Explain patterns of zeroes in an answer when dividing a number by powers of 10. | |||||

32 | 5.NBT.6 | Find whole number quotients with remainders of whole numbers with up to 4 digit and 2 digit divisors using strategies based on place value. | |||||

33 | 6. Partial Quotients and Multi Digit Whole number Division | 5.NBT.6 | Find whole number quotients with remainders of whole numbers with up to 4 digit and 2 digit divisors using strategies based on place value | ||||

34 | 7. Partial Quotients and Multi Digit Decimal Division | 5.NBT.2 | Explain patterns in the placement of the decimal point when a decimal is divided by a power of ten. | ||||

35 | 5.NBT.7 | Divide decimals to hundredths using models and drawings and strategies based on place value. .Relate strategy to a written method and explain reasoning. | |||||

36 | 8. Measurement Word Problems with Multi Digit Division | 5.NBT.6 | Find whole number quotients with remainders of whole numbers with up to 4 digit and 2 digit divisors using strategies based on place value. | ||||

37 | 5.NBT.7 | Divide decimals to hundredths using models and drawings and strategies based on place value. Relate strategy to a written method and explain reasoning. | End of module assessment - NBT 1, 2, 5, 6, 7 OA.1, 2 MD.1 | ||||

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41 | Trimester 2 | Unit of Study | Topics | Standards | Skills | Summative Assessments | Curriculum Concerns |

42 | Module 3-Addition and Subtraction of Fractions (22 days) | 1. Equivalent Fractions | 5.NF.1 | Make equivalent fractions with number line, area model, and numbers. | |||

43 | 2. Making Like Units Pictorially | 5.NF.1 | Add and subtract fractions with unlike denominators by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. | ||||

44 | 5.NF.2 | Solve word problems involving addition and subtraction of fractions referring to same whole, including cases of unlike denominators. | Mid Mod assessment - 5.NF.1, 5.NF.2 | ||||

45 | 3. Making Like Units Numerically | 5.NF.1 | Add and subtract fractions with unlike denominators by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. | ||||

46 | 5.NF.2 | Solve word problems involving addition and subtraction of fractions referring to same whole, including cases of unlike denominators, by using visual fraction models or equations to represent problems. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. | |||||

47 | 4. Further Applications | 5.NF.1 | Add and subtract fractions with unlike denominators by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. | ||||

48 | 5.NF.2 | Solve word problems involving addition and subtraction of fractions referring to same whole, including cases of unlike denominators, by using visual fraction models or equations to represent problems. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. | End Mod assessment - 5.NF.1, 5.NF.2 | ||||

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50 | Module 4-Multiplication and Division of Fractions and Decimal Fractions (12 days) | 1. Line Plots of Fraction Measurements | 5.MD.2 | Make a line plot to display data set of measurements in fractions of a unit. 1/2, 1/4, 1/8, to analyze data. | |||

51 | 2. Fractions as division | 5.NF.3 | Interpret a fraction as division of the numerator by the denominator ex. a/b = a divided by b. Solve word problems involving division of whole numbers leading to answers in the form of fractions with whole numbers. Using visual fraction models or equations to represent the problem. | ||||

52 | 3. Multiplication of a whole number by a fraction | 5.NF.4a | Interpret the product (2/3) x4=8/3 as 2 parts of a partition of 4 into 3 equal parts. | Students may need more practice multiplying and dividing fractions. This was an area of need on PARCC. | |||

53 | 5.MD.1 | Find a fraction of a measurement to solve multi step real world problems. | |||||

54 | 4. Fraction Expressions and Word Problems | 5.OA.1 | Compare and evaluate expressions with parentheses. | ||||

55 | 5.OA.2 | Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them. | |||||

56 | 5.NF.4a | Interpret the product (2/3) x4=8/3 as 2 parts of a partition of 4 into 3 equal parts. | |||||

57 | 5.NF.6 | Solve real world problems involving multiplication of fractions and mixed numbers. | Mid Mod assessment - 5.OA.1, 5.OA.2, 5.NF.3, 5.NF.4a, 5.NF.6, 5.MD.1, 5.MD.2 | There were not opportunities to solve this type of problem in Eureka. In Eureka students were asked to multiply fractions by fractions and fractions by whole numbers. In the geometry unit, module 5, they had to find the area of shapes by multiplying whole by mixed and whole by fractional side lengths. More practice is needed solving real world problems involving multiplication of fractions and mixed numbers. | |||

58 | Trimester 3 | Unit of Study | Topics | Standards | Skills | Summative Assessments | Curriculum Concerns |

59 | Module 4 Continued (About 22 days) | 5. Multiplication of a fraction by a fraction | 5.NBT.7 | Multiply decimals to hundredths using concrete models or drawing and strategies based on place value. | |||

60 | 5.NF.4a | Interpret the product (2/3) x4=8/3 as 2 parts of a partition of 4 into 3 equal parts. | |||||

61 | 5.NF.6 | Solve real world problems involving multiplication of fractions and mixed numbers. | |||||

62 | 5.MD.1 | Convert among different sized standard measurement units within a given measurement systems and use these conversions in solving multi-step real world problems. | |||||

63 | 6. Multiplication with Fraction and Decimals as scaling and word problems | 5.NF.5 | Interpret multiplication as scaling (resizing). Comparing and explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. | ||||

64 | 5.NF.6 | Solve real world problems involving multiplication of fractions and mixed numbers. | |||||

65 | 7. Division of Fractions and decimal fractions | 5.OA.1 | Compare and evaluate expressions with parentheses | ||||

66 | 5.NBT.7 | Divide decimals to hundredths using concrete models or drawing and strategies based on place value. | Students had difficulty dividing decimals on PARCC. More practice may be needed. | ||||

67 | 5.NF.7 | Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. | |||||

68 | 8. Interpretation of Numerical expressions | 5.OA.1 | Use parentheses, brackets and braces in numerical expressions and evaluate expressions with these symbols. | ||||

69 | 5.OA.2 | Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them. | End of Mod assessment - 5.NF.4,5.NF.5, 5.NF.7, 5.NF.6, 5.NF. 3, 5.NBT.7, 5.OA.2, 5.MD.1, 5.MD.2 | ||||

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71 | Module 5 | ||||||

72 | Addition and multiplication with Volume and Area (25 days) | 1. Concepts of Volume | 5.MD.3 | Recognize volume as an attribute of solid figures and understand concepts of volume measurement. | More practice may be needed relating volume to multiplication and addition. | ||

73 | 5.MD.4 | Measure volume by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. | |||||

74 | 2. Volume and the Operations of Multiplication and Addition | 5.MD.3 | Recognize volume as an attribute of solid figures and understand concepts of volume measurement. | ||||

75 | 5.MD.5 | Relate volume to the operations of multiplication and addition to solve real world and mathematical problemsinvolving volume. | Mid mod assessment - 5.MD.3, 5.MD.4, 5.MD.5a, 5.MD.5b, 5.MD.5c | ||||

76 | 3. Area of Rectangular Figures with Fractional side lengths | 5.NF.4b | Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lenghts. Multiply fractional side lengths to find areas of rectangles and represent fraction products as rectangular areas. | ||||

77 | 5.NF.6 | Solve real world problems involving multiplication of fractions and mixed numbers. | |||||

78 | 4. Drawing, Analysis, and Classification of Two-Dimensional Shapes | 5.G.3 | Identify attributes of two dimensional figures. | ||||

79 | 5.G.4 | Classify two dimensional figures in a hierarchy based on properties/attributes. | End of module assessment - 5.NF.4b, 5.NF.6, 5.MD.3, 5.MD.5, 5.G.3, 5.G.4 | ||||

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81 | Module 6-Problem solving with Coordinate Planes(40 days) | 1. Coordinate systems | 5.G.1 | Plot a given point on a plane using ordered pairs. | TEACH THIS TOPIC (1) PRIOR TO PARCC | ||

82 | 2. Patterns in the Coordinate Plane and graphing number patterns from rules | 5.OA.2 | Write and explain simple numeric expressions without finding the answer. | ||||

83 | 5.OA.3 | Create function table, graph the ordered pairs, and explain the rule and the graph. | |||||

84 | 5.G.1 | Plot a given point on a plane using ordered pairs. | MID module assessment - 5.G.1, 5.OA.2, 5.OA.3 | ||||

85 | 3. Drawing Figures in the Coordinate Plane | 5.G.1 | Plot a given point on a plane using ordered pairs. | ||||

86 | 5.G.2 | Represent and interpret real world and math problems by graphing points on the coordinate plane. | |||||

87 | 4. Problem Solving in the Coordinate Plane | 5.OA.3 | Create function table, graph the ordered pairs, and explain the rule and the graph. | ||||

88 | 5.G.2 | Represent and interpret real world and math problems by graphing points on the coordinate plane. | |||||

89 | 5. Multi Step Word Problems | 5.NF.2 | Make sense of complex multistep problems and persevere in solving them. | ||||

90 | 5.NF.3 | ||||||

91 | 5.NF.6 | ||||||

92 | 5.NF.7c | ||||||

93 | 5.MD.1 | ||||||

94 | 5.MD.5 | ||||||

95 | 5.G.2 | End module assessment - 5.G.1, 5.G.2, 5.OA.3 |