Math Curriculum Map - Grade 3 September 2016 : Grade 3

1 | Math Curriculum Map - Grade 3 September 2016 | ||||||
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2 | Trimester 1 | Unit of Study | Topics | Standards | Skills | Summative Assessments | Curriculum Concerns |

3 | Module 1 - Properties of Multiplication and Division and Solving Problems with Units 2 - 5 and 10 (25 days) | 1. Multiplication and the meaning of factors | 3.OA.1 3.OA.3 | 1. Understand multiplication by thinking about groups of objects, relate multiplication to the array model and interpret the meaning of factors. | Mid-module Assessment: 3.OA.1, 3.OA.2, 3.OA.5, 3.OA.6 | ||

4 | 2. Division as an unknown factor problem | 3.OA.2 3.OA.6 3.OA.3 3.OA.4 | 2. Understand division in an unknown factor problem and the relationships of the unkown to the size of groups and the number of groups. Interpret the unknown in division using the array model. | ||||

5 | 3. Multiplication using units of 2 and 3 | 3.OA.1 3.OA.5 3.OA.3 3.OA.4 | 3. Use the commutative and distributive properties of multiplication to solve problems. | ||||

6 | 4. Division using units of 2 and 3 | 3.OA.2 3.OA.4 3.OA.6 3.OA.6 3.OA.8 | 4. Find the missing number in a multiplication or division equation usig a letter to represent the unknown.Interpret the quotient as the number of groups or the objects in each group. | ||||

7 | 5. Multiplication and division using units of 4 | 3.OA.5 3.OA.7 3.OA.1 3.OA.2 3.OA.3 3.OA.4 3.OA.6 | 5. Use the commutative and distributive properties of multiplication to solve problems. Find the missing number in a multiplication or division equation. Interpret the quotient as the number of groups or the objects in each group. | ||||

8 | 6. Distributive property and problem solving units of 2 - 5 and 10 | 3.OA.3 3.OA.5 3.OA.7 3.OA.8 3.OA.1 3.OA.2 3.OA.4 3.OA.6 | 6. Use the distibutative property to decompose units. Solve two-step word problems that involve the four operations. Use mental math to figure out if the answers to two-step word problems are reasonable. | End-of-module Assessment: 3.OA.1, 3.OA.2, 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.6, 3.OA.7, 3.OA.8 | |||

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11 | Module 2 - Place Value and Problem Solving with Units of Measure (25 days) | 1. Time Measurement and Problem Solving | 3.NBT.2 3MD.1 | 1. Explore time as a continuous measurement using a stopwatch, number line, and a clock. Relate skip counting by 5s to telling time. Solve word problems involving time using a number line and clock. | Mid-module Assessment: 3.NBT.2, 3.MD.1, 3.MD.2 | ||

12 | 2. Measuring Weight and Liquid Volume in Metric Units | 3.NBT.2 3.MD.2 | 2. Measure and estimate liquid volumes and masses of objects using standard units of grams, kilograms, and liters. Relate liquid measurement to the vertical number line. Add, subtract, multiply and divide to solve one-step word problems using measurement. | ||||

13 | 3. Rounding to the Nearest Ten and Hundred | 3.NBT.1 3.MD.1 3.MD.2 | 3. Use place value to help me round 2 or 3 digit numbers to the nearest 10 or 100 on a vertical number line. | ||||

14 | 4. Two- and Three-Digit Measurement Addition Using the Standard Algorithm | 3.NBT.2 3.NBT.1 3.MD.1 3.MD.2 | 4. Use the standard algorithm to add 2 or 3 digit numbers and estimate sums. Solve addition word problems using estimation. | ||||

15 | 5. Two- and Three-Digit Measurement Subtraction Using the Standard Algorithm | 3.NBT.2 3.NBT.1, 3.MD.1 3.MD.2 | 5. Use the standard algorithm to subtract 2 or 3 digit numbers and estimate differences. Solve subtraction word problems using estimation. | End of module assessment 3.NBT.2, 3.MD.1, 3.MD.2, 3.NBT.1 | |||

16 | Perimeter (10 days) pulled out of module 7 (lesons 10 -17) | 3. Problem Solving with Perimeter | 3.MD.8 3 G.1 | 1. Solve real world math problems using what I know about the perimeter of shapes. | End of Module 7 Assessment 3.MD.8 (problem 2) | ||

17 | 2. Define perimeter and find the perimeter when given side lengths. | ||||||

18 | 3. Find the perimeter when there is an unknown side length. | ||||||

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

21 | Module 3: Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 (25 days) | 1. The Properties of Multiplication and Division | 3.OA.4 3.OA.5 3.OA.7 3.OA.9 3.OA.1 3.OA.2 3.OA.3 3.OA.6 | 1. Use the commutative and distributive properties to help solve multiplication and division problems. Write multiplication and division equations using a letter for the unknown. | Mid-module Assessment: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7 | ||

22 | 2. Multiplication and Division Using Units of 6 and 7 | 3.OA.3 3.OA.4 3.OA.5 3.OA.7 3.OA.1 3.OA.2 3.OA.6 | 2. Using the units 6 and 7: multiply and divide using number bonds and the distributive property, and find the missing number in a multiplication or division equation. | ||||

23 | 3. Multiplication and Division Using Units up to 8 | 3.OA.3 3.OA.4 3.OA.5 3.OA.7 3.OA.1 3.OA.2 3.OA.6 3.OA.8 | 3. For units up to 8: use the associative or distributive properties when multiplying to dividing to solve problems, and understand the function of parentheses. | ||||

24 | 4. Multiplication and Division Using Units of 9 | 3.OA.3 3.OA.4 3.OA.5 3.OA.7 3.OA.9 3.OA.1 3.OA.2 3.OA.6 | 4. Use the distributive property when multiplying and dividing to show that groups of 9 are the same as groups of 10-1. Identify arithmetic patterns to multiply. Interpret the unknown in multiplication and division to model and solve problems. | ||||

25 | 5. Analysis of Patterns and Problem Solving Including Units of 0 and 1 | 3.OA.3 3.OA.7 3.OA.8 3.OA.9 3.OA.1 3.OA.2 3.OA.4 3.OA.6 | 5. Reason about and explain arithmetic patterns, using units of 0 and 1 as they relate to multiplication and division. Identify patterns in multiplication and division facts using the multiplication tables. Solve 2 step word problems involving all four operations. | ||||

26 | 6. Multiplication of Single-Digit Factors and Multiples of 10 | 3.OA.5 3.OA.8 3.OA.9 3.NBT.3 3.OA.1 | 6. Multiply and divide within 100 easily and quickly because I know how multiplication and division are related. Quickly and easily multiply any one digit whole number by 10. | End of Module Assessment: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.9, 3.NBT.3 | |||

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28 | Module 4: Multiplication and Area (20 days) | 1. Foundations for Understanding Area | 3.MD.5 3.MD.6 3.MD.7 | 1. Understand that the area of plane shapes can be measured in square units. Find the area of a rectangle by tiling it in unit squares and counting unit squares. Find the side lengths of a rectangle in units. Compose and recompose shapes to find the area. | Mid-Mod Assessment: 3.MD.5,3.MD.6,3.MD.7 | ||

29 | 2. Concepts of Area Measurement | 3.MD.5 3.MD.6 3.MD.7a 3.MD.7b 3.MD.7d | 2. Multiply side lengths to find areas of rectangles. Understand area as an array model. Find the area of a rectangle when given an incomplete array. | ||||

30 | 3. Arithmetic Properties Using Area Models | 3.MD.5 3.MD.7a 3.MD.7b 3.MD.7c 3.MD.7d | 3. Measure area by using what I know about multiplication and addition. | ||||

31 | 4. Applications of Area Using Side Lengths of Figures | 3.MD.6 3.MD.7a 3.MD.7b 3.MD.7c 3.MD.7d 3.MD.5 | 4. Solve word problems involving area. Find area by decomposing into rectangles or completing composite figures to form rectangles. Apply knowledge of area to determine areas of rooms in a given floor plan. | End of Module Assessment: 3MD.5, 3.MD.6, 3.MD.7 | |||

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

34 | Module 5: Fractions as Numbers on a Number Line (35 days) | 1. Partitioning a Whole into Equal Parts | 3.G.2 3.NF.1 | 1. Specify and partition different types of wholes into equal parts, identifying and counting unit fractions using concrete models, by folding fraction strips, and by drawing pictorial area model. | Mid-Module Assessment: 3.NF.1, 3.NF.3,3.G.2 | ||

35 | 2. Unit Fractions and Their Relation to the Whole | 3.NF.1 3.NF.3c 3.G.2 | 2. Partition a whole into equal parts and identify the unit fraction numerically. Build non-unit fractions less than a whole from unit fractions. Represent parts of one whole as fractions using number bonds. Build and write fractions greater than one whole using unit fractions. | ||||

36 | 3. Comparing Unit Fractions and Specifying the Whole | 3.NF.3d 3.NF.1 3.NF.3a–c 3.G.2 | 3. Compare unit fractions using fractions strips or different size models. Understand the definition of the denominator. Identify a shaded fractional part in different ways depending on the designation of the whole. | ||||

37 | 4. Fractions on the Number Line | 3.NF.2ab 3.NF.3cd | 4. Define the interval from 0 to 1 on a number line as the whole. Divide a whole on a number line into equal parts. Recognize that the equal parts between 0 and 1 stand for a fraction. Represent each equal part on a number line with a fraction. Explain that the endpoint of each equal part on a number line represents the total number of equal parts. | ||||

38 | 5. Equivalent Fractions | 3.NF.3a–c | 5. Recognize simple equivalent fractions. Compare fractions by their size to determine equivalence. Use number lines, size, visual fraction models, etc., to find equivalent fractions. | Students had difficulty recognizing and generating equivalent fractions on PARCC. They may need more practice. | |||

39 | 6. Comparison, Order, and Size of Fractions | 3.NF.3d | 6. Compare fractions using equal to, less than, and greater than one. Compare fractions on a number line. | End of Module Assessment: 3.NF.1, 3.NF.2, 3.NF.3, 3.G.2 | |||

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41 | Module 6: Collecting and Displaying Date (10 days) | 1. Generate and Analyze Categorical Data
| 3.MD.3 | 1. Identify and explain the scale of a graph. Create a scaled bar graph to show data. Choose a proper scale for a bar graph or picture graph. Interpret a bar/picture graph to determine ‘how many more” and “how many less”. | |||

42 | 2. Generate and Analyze Measurement Data | 3.MD.4 | 2. Determine the appropriate scale for a line plot. Creat a line plot were the horizontal scale is marked off in appropriate units: whole numbers, halves, or quarters. Identify each plot on the line as data or a number of objects. | End of Module Assessment: 3.MD.3, 3.MD.4 | |||

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46 | Module 7: Geometry and Measurement Word Problems (20 days) Module 7, lessons 10 -17 were moved to the end of module 2. | 1. Solving Word Problems | 3.OA.8 | 1. Solve two-step word problems using the four operations using a letter to represent the unknown. | Mid-Module Assessment: 3.OA.8, 3.MD.8, 3.G.1 | ||

47 | 2. Attributes of Two-Dimensional Figures | 3.G.1 | 2. Compare and classify quadrilaterals and polygons. Draw polygons with specified attributes to solve problems. Reason about shapes. | ||||

48 | 3. Problem Solving with Perimeter | 3.MD.8 3.G.1 | 3. Solve real world math problems using what I know about the perimeter of shapes. | ||||

49 | 4. Recording Perimeter and Area Data on Line Plots | 3.MD.4 3.MD.8 3.G.1 | 4. Construct rectangles from a given number of unit squares and determine the perimeter and area. Use a line plot to record the number rectangles constructed from a given number of unit squares. | ||||

50 | 5. Problem Solving with Perimeter and Area | 3.MD.8 3.G.1 | 5. Solve a variety of word problems involving area and perimeter using all four operations. | End of Module Assessment: 3.OA.8, 3.MD.4, 3.MD.8, 3.G.1 |