Math Curriculum Map - Grade 4 September 2016 : Grade 4

1 | Math Curriculum Map - Grade 4 September 2016 | |||||
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2 | Trimester 1 | Unit of Study | Topics | Standards | Skills | Summative Assessments |

3 | Module 1 - Place Value, Rounding, and Algorithms for Addition and Subtraction (25 days) | 1. Place value of multi-digit whole numbers | 4.NBT.1 4.NBT.2 | Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. Read and write larger whole numbers using words, numbers and expanded form. Compare using <,>,=. | Mid-module Assessment: 4.NBT.1, 4.NBT.2, 4.NBT.3 | |

4 | 2.Comparing multi-digit whole numbers | 4.NBT.2 | Compare whole numbers using the place value chart. | |||

5 | 3. Rounding multi-digit whole numbers | 4.NBT.3 | Round larger whole numbers to any place. | |||

6 | 4. Multi-digit whole number addition | 4.OA.3 4.NBT.4 | Solve multi-step word problems with addition of larger numbers using standard algorithm. | |||

7 | 5. Multi-digit whole number subtraction. | 4.OA.3 4.NBT.4 | Solve multi step word problems with subtraction of larger numbers using standard algorithm. | |||

8 | 6. Addition and subtraction word problems | 4.OA.3 | Solve multi step word problems with addition and subtraction of larger numbers using standard algorithm. | End-of-module Assessment: 4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.3, 4.NBT.4 | ||

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10 | Module 2 Unit Conversions and Problem Solving with Metric Measurement (7 days) | 1. Metric Unit Conversions | 4.MD.1 4.MD.2 | Express metric length, mass, and capacity measurements in terms of a smaller unit. Model and solve addition and subtraction word problems involving metric length, mass, and capacity. | ||

11 | 2. Application of Metric Unit Conversions | 4 MD.1 4 MD.2 | Know and relate metric units to place value units in order to express measurements in different units. Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity. | End of module Assessment 4 MD.1, 4 MD.2 | ||

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14 | Trimester 2 | Unit of Study | Topics | Standards | Skills | Summative Assessments |

15 | Module 3 - Multi-Digit Multiplication and Division (43 Days) | 1. Multiplicative Comparison Word Problems | 4.OA.1 | Interpret a multiplication equation as a comparison and represent verbal statements of multiplicative comparisons as multiplication equations. | Mid-Module OA.1, OA.2, OA.3, NBT.5,MD.3 Mid Mod Part 2: OA.1, OA.2, OA.3, NBT.5, MD.3 | |

16 | 4.OA.2 | Multiply or divide to solve word problems involving multiplicative comparison, distinguishing multiplicative comparison from additive comparison. | ||||

17 | 4.MD.3 | Apply the area and perimeter formulas for rectangles in real world and mathematical problems. | ||||

18 | 2. Mutiplication by 10, 100, and 1,000 | 4.NBT.5 | Interpret and represent patterns when multiplying by 10, 100, 1,000, in arrays and numerically. Multiply 2 digit by 2 digit numbers using an area model. | |||

19 | 3. Multiplication of up to Four Digits by Single-Digit Numbers | 4.NBT.5 | Multiply a whole number of up to 4 digits by a 1 digit number using strategies based on place value and properties of operations. Connect area model and partial product method to standard algorithm. | |||

20 | 4. Multiplication Word Problems | 4.OA.1 4.OA.2 4.OA.3 4.NBT.5 | Use multiplication, addition or subtraction to solve two step word problems involving multiplicative comparisons. | |||

21 | 5. Division of Tens and Ones with Successive Remainders | 4.NBT.6 | Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. | |||

22 | 6. Reasoning with Divisibility | 4.OA.4 | Find factor pairs for numbers to 1-100.Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range of 1-100 is a multiple of a given 1 diit number. Determine whether a given whole number in the range 1-100 is prime or composite. | |||

23 | 7. Division of Thousands, Hundreds, Tens, and Ones | 4.OA.3 4.NBT.6 | Solve multi-step word problems with division up to 4 digit dividends. Find whole number quotients and remainders to solve 1 step word problems. | |||

24 | 8. Multiplication of Two-Digit by Two-Digit Numbers | 4.NBT.5 | Multiply 2 digit by 2 digit numbers using the place value chart, area models, partial products and standard algorithm. | End of Module OA.1, OA.2, OA.3, OA.4, NBT.5, NBT.6, MD.3 | ||

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26 | Module 5 - Fraction Equivalence, Ordering, and Operations | 1.Decomposition and fraction equivalence | 4.NF.3b 4.NF.4a | Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each by an equation. Use tape diagrams, equivalence and area models. | Mid-module 4.NF.3ab, 4.NF.4a, 4.NF.1, 4.NF.2, 4.NF.3abd | |

27 | 2. Fraction equivalence using multiplication | 4.NF.1 | Explain why a fraction a/b is equivalent to a fraction (nxa)/(nxb) by using visual fraction models, with attention to how the number and size of the parts differ even though the two are the same size. | |||

28 | 3. Fraction Comparison | 4.NF.2 | Compare two fractions with different numerators and different denominators by creating common denominators or numerators or comparing to a benchmark fraction on a number line. | |||

29 | 4. Fraction addition and subtraction | 4.NF.3ad | Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators using visual models. | |||

30 | 5. Extending fraction equivalence to fractions | 4.NF.1 4.NF.2 4.NF.3a,b,c,d | Add or subtract a fraction less than 1 from a whole number. Add and multiply unit fractions to build fractions greater than 1. Use a line plot to solve word problems. | |||

31 | 6. Addition and subtraction of fractions by decomposition. | 4.NF.3c 4.MD.2 | Add and subtract mixed numbers from a fraction and a mixed number from a mixed number. Estimate sums and differences using benchmark numbers. | |||

32 | 7. Repeated addition of fractions as multiplication | 4.NF.4 4.MD.4 | Solve word problems involving the multiplication of a whole number and a fraction using the associative property, distributive property and visual models. | |||

33 | 8. Exploring a fraction pattern | 4.OA.5 | Generate a number or shape pattern that follows a given rule. | End of module Assessment: 4.OA.5, 4.NF.3c, 4.NF.4ab, 4.NF.3a, 4.NF.1, 4.NF.2, 4.NF.3, 4.NF.4, 4.MD.4 | ||

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35 | Trimester 3 | Unit of Study | Topics | Standards | Skills | Summative Assessments |

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37 | Module 6- Decimal Fractions | 1. Exploration of Tenths | 4.NF.6 4.NBT.1 4.MD.1 | Use metric measurement to model the decomposition to one whole into tenths. Represent mixed numbers with units of tens, ones, and tenths with place value disks, on the number line, and in expanded form. | Mid-Module 4.NF.6, 4.NF.5 | |

38 | 2. Tenths and Hundredths | 4.NF.5 4.NF.6 4.NBT.1 4.NF.1 4.NF.7 4.MD.1 | Use meters to model the decomposition of one whole into hundredths. Model the equivalence of tenths and hundredths using an area model and place value disks. Represent and model mixed numbers in fraction form, decimal form, expanded form, and on the place value chart. Use the understanding of fraction equivalence to investigate decimal numbers on the place value chart. | |||

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41 | 3. Decimal Comparison | 4.NF.7 4.MD.1 4.MD.2 | Use the place value chart and metric measurement to compare decimals and answer comparison questions. Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =. Compare and order mixed numbers in various forms. | |||

42 | 4. Addition with Tenths and Hundredths | 4.NF.5 4.NF.6 4.NF.3c 4.MD.1 | Apply understanding of fraction equivalence to add tenths and hundredths. Add decimal numbers by converting to fraction form. Solve word problems involving the addition of measurements in decimal form. | |||

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45 | 5. Money Amounts as Decimal Numbers | 4.MD.2 4.NF.5 4.NF.6 | Express money amounts given in various forms as decimal numbers. Solve word problems involving money. | End-Module 4.NF.5, 4.NF.6, 4.NF.7, 4.MD.2 | ||

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48 | Module 4 - Angle Measure and Plane Figures (20 Days) | 1. Lines and Angles | 4.G.1 | Draw points, lines, line segments, rays and angles (right, acute,and obtuse) and perpendicular and parallel lines. Identify them in two dimentional figures. | MId- Module Assessment | |

49 | 2. Angle Measurements | 4.MD.5 4.MD.6 | Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. | MD.5, MD.6, G.1 | ||

50 | 3. Problem Solving with the Addition of Angle Measures | 4.MD.7 | Recognize angle measure as additive. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems. | |||

51 | 4. Two-Dimensional Figures and Symmetry | 4.G.1 4.G.2 4.G.3 | Recognize a line of symmetry for a two-dimensional figure. Identify line-symmetric figures and draw ines of symmetry. Analyze and classify triangles based on side length, angle measure, or both. Define and construct triangles from given criteria. Explore symmetry in triangles. Classify quadrilaterals based on parallel and perpendicular lines and the presence or absence of angles of a specified size. | End of Module Assessment MD.5, MD.6, MD.7, G.1, G.2, G.3, | ||

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55 | Module 7 Exploring measurement with multiplication | 1.Measurement Conversion Tables | 4.OA.1 4.OA.2 4.MD.1 4.NBT.5 4.MD.2 | Create conversion tables for length, weight, and capacity units using measurement tools, and use the tables to solve problems. | ||

56 | 2. Problem Solving with Measurement | 4.OA.2 4.OA.3 4.MD.1 4.MD.2 4.NBT.5 4.NBT.6 | Solve problems involving mixed units of capacity, length, weight, and time, as well as solve multistep measurement problems. | |||

57 | 3. Investigation of Measurements Expressed as Mixed Numbers | 4.OA.3 4.MD.1 4.MD.2 4.NBT.5 4.NBT.6 | Use measurement tools to convert mixed number measurements to smaller units. Solve multi-step word problems involving converting mixed number measurements to a single unit. | End of Module Assessment 4. OA 1, 4 MD. 1, 4 MD.2, 4 OA.2, 4 OA.3 |