Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 1 August 8th31st (First Term Mid-term Pacing) Common Core State Standards Alignment (3OA.9) Objectives/Standards Instructional Resources Screening days have been allotted for the first few days of school. The Mississippi Curriculum Framer “The Power of Place Value” Unit “When is a 2 Not a 2?” Lesson 1 “Sorting Numbers” Lesson 2 1a) Compose and decompose four-digit whole numbers with representations in words, physical models, and expanded and standard forms. (DOK 1) 1b) Compare and order four-digit numbers using >, <, and =, and justify reasoning. (DOK 2) (3NBT.2) 2e) Create models for the concept of equality, recognizing that the equal sign (=) denotes equivalent terms such that 4 + 3= 7, 4 + 3 = 6 + 1 or 7 = 5 + 2. (DOK 1) The Mississippi Curriculum Framer “Sum it Up” Unit “The Millionaire’s Club” Lesson 4 2c) Use real number properties to develop multiple algorithms and to solve problems. (DOK 2) Associative property of addition Commutative property of addition Identity property of addition http://www.elemedu.ccs.k1 2.nc.us/Resources/Math_N ewsletters/Grades_35_Order_of_Operations_an d_Basic_Properties.pdf http://www.ixl.com/math/g rade-3/solve-usingproperties-of-addition School Year 2012-2013 Page 1 of 12 Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 1 Common Core State Standards Alignment Objectives/Standards Instructional Resources 3.OA.8. Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.3 http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/operati ons_algebraic_thinking/3o a8.aspx http://www.mathplaygroun d.com/common_core_state _standards_for_mathemati cs_grade_3.html September 4th-7th September 10thSeptember 28th (First Term Pacing) First Nine Weeks Mid-Term Assessments (3 OA.5) (3. MD.8) (3 NBT.1) 1e) Add (up to three addends) and subtract four-digit whole numbers with and without regrouping. (DOK 1) 1c) Estimate sums and differences of whole numbers to include strategies such as rounding. (DOK 2) School Year 2012-2013 Page 2 of 12 http://illuminations.nctm.or g/LessonDetail.aspx?id=U 48 http://www.lessonpathway s.com/Pathways/Detail?pat h=%2F05_Math%2FYear_ 3_Math_Guided_Journey% 2F14Estimating_Sums_and _Differences Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 1 October 2nd–5th Common Core State Standards Alignment Objectives/Standards First Nine Weeks Assessments School Year 2012-2013 Page 3 of 12 Instructional Resources Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 2 October 8thNovember 2nd (Second Term Midterm Pacing) Common Core State Standards Alignment Objectives/Standards 1e) Add (up to three addends) and subtract four-digit whole numbers with and without regrouping. (DOK 1) (3 NBT.2) (3 NBT.1) 1c) Estimate sums and differences of whole numbers to include strategies such as rounding. (DOK 2) 2d) Model and identify the inverse relationships of addition/subtraction. (DOK 2) November 6th-9th November 12thDecember 14th (First Semester Pacing) Instructional Resources The Mississippi Curriculum Framer “What’s the Difference?” Unit “Regrouping” Lesson 2 The Mississippi Curriculum Framer “What’s the Difference?” Unit “Fact Families” Lesson 1 Second Nine Weeks Mid-Term Assessments (3 OA.9) (3 NF.1) (3. MD. 4) 2a) Create, describe, and extend growing and repeating patterns with physical materials and symbols including numbers. (DOK 2) The Mississippi Curriculum Framer “Repeat After Me” Unit “Patterns in Counting” Lesson 2 “Cinquain Poem” Lesson 3 1d) Identify and model representations of fractions (halves, thirds, fourths, fifths, sixths, and eighths). (DOK 1) The Mississippi Curriculum Framer “Fractions in Action” Unit “Parts of a Whole” Lesson 1 4b) Estimate and measure length using fractional parts to the School Year 2012-2013 Page 4 of 12 Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 2 November 12thDecember 14th (First Semester Pacing) Common Core State Standards Alignment (3 OA.9) nearest ½ inch in the English system. (DOK 2) “Parts of a Collection” Lesson 2 “Fraction Flags” Lesson 4 3.G.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape. http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/geomet ry/3g2.aspx Objectives/Standards Instructional Resources 3. NF.2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.5 a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/number _operationsfractions/3nf2.a spx (3 NF.1) School Year 2012-2013 Page 5 of 12 Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 3.NF.3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.5 a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model. c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. December 17th-21st District-Level Semester Benchmark Assessments School Year 2012-2013 Page 6 of 12 http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/number _operationsfractions/3nf3.a spx http://www.mathplaygroun d.com/common_core_state _standards_for_mathemati cs_grade_3.html Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 3 January 7thFebruary 1st (Third Term Midterm Pacing Common Core State Standards Alignment (3 OA. 1) (3. OA. 2) (3.OA. 3) (3. OA. 6) (3. OA.7) (3. NBT. 3) Objectives/Standards 1f) Model multiplication using arrays, equal-sized groups, area models, and equal-sized moves on the number line. (DOK 2) Instructional Resources The Mississippi Curriculum Framer “Multiplication Mania” Unit “Repeated Addition and Outfits” Lesson 3 http://illuminations.nctm.or g/ActivityDetail.aspx?ID= 3 3.OA.4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = ? ÷ 3, 6 × 6 = ?. http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/operati ons_algebraic_thinking/3o a4.aspx 3.MD.5. Recognize area as an attribute of plane figures, and understand concepts of area measurement. a. A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area. b. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/measur ement_data/3md5.aspx 3.MD.6. Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). January 7th- (3. OA. 1) School Year 2012-2013 Page 7 of 12 http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/measur ement_data/3md6.aspx Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 3 February 1st (Third Term Midterm Pacing Common Core State Standards Alignment (3. OA. 2) (3. OA. 3) (3. OA. 6) (3. OA. 7) Objectives/Standards Instructional Resources 5b) Analyze, predict, and model the number of different combinations of two or more objects and relate to multiplication. (DOK 2) 3.MD.7. Relate area to the operations of multiplication and addition. a. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. b. Multiply side lengths to find areas of rectangles with wholenumber side lengths in the context of solving real-world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning. c. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning. d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real-world problems. 1g) Model division with successive or repeated subtraction, partitioning, and sharing. (DOK 2) School Year 2012-2013 Page 8 of 12 http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/measur ement_data/3md7.aspx The Mississippi Curriculum Framer “Pirate’s Treasure” Unit “How I Became a Pirate” Lesson 1 “The Doorbell Rang” Lesson 2 “Doing and Undoing” Lesson 4 “Division and Repeated Subtraction” Lesson 6 Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 3 Common Core State Standards Alignment February 5th–8th Objectives/Standards Instructional Resources Third Nine Weeks Mid-term Assessments February 11th- March 1st (Third Term Pacing) (3 OA. 8) (3 MD. 3) (3 MD. 4) 3.OA.6. Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8. http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/operati ons_algebraic_thinking/3o a6.aspx 2b) Determine the value of missing quantities or variables within equations or number sentences, and justify the process used. (DOK 2) http://www.mathplaygroun d.com/howto_solvevariabl e.html 3.OA.4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = ? ÷ 3, 6 × 6 = ?. http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/operati ons_algebraic_thinking/3o a4.aspx 5a) Compare data and interpret quantities represented on tables and different types of graphs (line plots, pictographs, and bar graphs) make predictions, and solve problems based on the information. (DOK 3) The Mississippi Curriculum Framer “And the Survey Says” Unit “Pictographs” Lesson 1 School Year 2012-2013 Page 9 of 12 Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 3 Common Core State Standards Alignment Objectives/Standards Instructional Resources “Bar Graphs” Lesson 2 “Line Graphs” Lesson 3 3.OA.8. Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.3 http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/operati ons_algebraic_thinking/3o a8.aspx http://www.mathplaygroun d.com/common_core_state _standards_for_mathemati cs_grade_3.html March 4th – 8th District Mock MCT2 Assessments School Year 2012-2013 Page 10 of 12 Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 4 March 11thApril 5th (Fourth Term Midterm Pacing) Common Core State Standards Alignment (3 G. 1) (3. G. 2) (3. MD. 8) (3 MD. 2) (3 MD. 4) Objectives/Standards 3a) Describe, compare, analyze, and classify two-dimensional shapes by sides and angles. (DOK 1) 3b) Explain and describe the process of decomposing, composing, and transforming polygons. (DOK 2) 3c) Create three-dimensional shapes (prisms and pyramids) from two-dimensional nets, and create two-dimensional nets from prisms and pyramids. (DOK 2) 4a) Develop and use methods to find perimeter of polygons and to solve problems involving perimeter. (DOK 2) 4b) Estimate and measure length using fractional parts to the nearest ½ inch in the English system. (DOK 2) 4c) Measure capacity, weight/mass, and length in both English and metric systems of measurement. (DOK 1) April 8thMay 17th (Second Semester Pacing) 3.MD.1. Tell and write time to the nearest minute, and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram. School Year 2012-2013 Page 11 of 12 Instructional Resources The Mississippi Curriculum Framer “Can You Measure Up?” Unit” “ Inside and Around” Lesson 2 The Mississippi Curriculum Framer “Can You Measure Up?” Unit “Linear Measure” Lesson 1 “Weight and Mass” Lesson 4 “Capacity” Lesson 5 http://www.readtennessee. org/math/teachers/k3_common_core_math_sta ndards/third_grade/measur ement_data/3md1.aspx Canton Public School District Office of Curriculum and Instruction Grade 3 Mathematics Pacing Guide 2012-2013 Term 4 Common Core State Standards Alignment Objectives/Standards Instructional Resources http://www.mathplaygroun d.com/common_core_state _standards_for_mathemati cs_grade_3.html May 20th–24th Second Semester Assessments School Year 2012-2013 Page 12 of 12