Grade 2 Mathematics Prince William County Pacing Guide 2016-2017 Teacher Focus Groups have assigned a given number of days to each unit based on their experiences and knowledge of the curriculum. It is critical that teachers stay as close as possible to the pacing guidelines to ensure that all of the have been taught by the end of the school-year, and that, as children move within the Division, their mathematics instruction remains coherent. Ongoing review should occur throughout the year. Prince William County Regulation 602-1 describes the organization of the instructional day. Mathematics is allotted 90 minutes in Grade 2. This should include an uninterrupted 75-minute block of time for the lesson and an additional 15-minute block to be used for classroom routines, number talks, and/or other selected review activities. These types of activities are a critical element of mathematics instruction that provide essential practice and maintenance of key concepts and skills. Teachers may find the full wording of the objectives, along with the essential knowledge and skills to be learned, in the Unit Guides and in the Curriculum Guide. These documents are available on the Math Web site at http://pwcs.math.schoolfusion.us. Unit Guides created by the Teacher Focus Groups provide many suggestions for resources from which to choose. should be an integral part of the development of mathematics understanding. Each day should include a brief (10-15 minute), deliberate, and carefully planned time for introduction and review of key concepts and skills. The Routines section of each unit in this Pacing Guide includes suggestions for incremental development and ongoing review and practice of concepts and skills, as appropriate at that time of the year. It is not expected that all skills are addressed every day; each teacher should determine which skills and at what level may be appropriate on any given day. Dates of unit and unit title Focus Topics: Plane and solid figures Identify Describe Compare/contrast Symmetry Continue Problem Solving Computational Fluency: Introduce: Doubles to 20 (Mastery in Unit 3) Unit 2: Geometry October 11 November 3, 2016 (18 days) Broad focus topics of unit, with corresponding standards Standards to be assessed during current unit of study 2.16 2.15ab 2.8, 2.21 Unit 2 End-of-Unit Assessment 2.8, 2.15, 2.16, Additional standards, if any, 2.21 completed in current unit 2.15, 2.16 An underlined section of (2.1a) Place value of digits in two-digit numerals a standard indicates a part that is introduced or extended in the current unit s classroom routines Once a standard has been mastered and assessed, the (2.4) Counting forward by 2s, 5s, and 10s starting at various multiples box is shaded Bolded standards are included in routines in the current unit. (2.9) Related facts and the inverse relationship between addition Standards in lighter subtraction color are ones that are not indicated in (2.10) Coin values and their equivalents, counting combinations routines to 50 in cents the current unit
Unit 1: Number Sense and Computation 1 August 29 October 7, 2016 (29 days) Computational Fluency Related Facts to 18 Missing Quantities (addition and subtraction) Solving One-step Story Problems using number sentences to 18 Missing Quantities 4-Step Plan Reasonableness of solution (more or less) Comparing Numbers Tools-hundred chart, open/empty number line Place Value tens, ones Ordinal Numbers - 1 st through 20 th Computational Fluency: Mastery: Combinations of 10 Subtraction from 18 Doubles to 18 Unit 1 End-of-Unit Assessment 2.5, 2.9 2.21 2.1c 2.1a 2.2ab 2.2 ab, 2.5 (to 18) 2.2 ab (2.1a) Place value of digits in two-digit numerals (1st to 20th) (2.4) Counting forward and backward by 2s, 5s, and 10s to 100 (2.10) Coin values and their equivalents, counting combinations to 25 cents (2.12) Tell time to nearest five minutes (2.16) Identify, describe, compare, and contrast plane and solid geometric figures
Plane and solid figures Identify Describe Compare/contrast Symmetry Continue Problem Solving Computational Fluency: Introduce: Doubles to 20 (Mastery in Unit 3) Unit 2: Geometry October 11 November 3, 2016 (18 days) 2.16 2.15ab 2.8, 2.21 Unit 2 End-of-Unit Assessment 2.8, 2.15, 2.16, 2.21 2.15, 2.16 (2.1a) Place value of digits in two-digit numerals (2.4) Counting forward by 2s, 5s, and 10s starting at various multiples (2.9) Related facts and the inverse relationship between addition and subtraction (2.10) Coin values and their equivalents, counting combinations to 50 cents (2.12) Tell time to nearest half hour
Unit 3: Number Sense and Computation 2 November 9 December 2, 2016 (14 days) Place Value to Two Digits Rounding Use > and < Symbols to Compare Numbers Skip Counting by twos, fives, tens to 100 Counting Backwards by tens from 100 Even & Odd Numbers Computational Fluency to 20 Missing Addends Computational fluency: Mastery: Doubles to 20 Introduce: Near Doubles (Mastery in Unit 6) Plus/Minus 10 (Mastery in Unit 7) Inverse Relationships (+, -) 2.1a 2.1b 2.1c 2.4ab 2.4c Unit 3 End-of-Unit Assessment 2.1c (2-digit), 2.5 (fluency to 20), 2.9 2.9 2.5 2.9 (2.1a) Place value of digits in two-digit numerals fourths, sixths, eighths, and tenths. (2.4) Counting forward by 2s, 5s, and 10s starting at various multiples (2.10) Coin values and their equivalents, counting combinations to 75 cents (2.12) Tell time to nearest quarter hour (quarter after is 12:15)
Unit 4: Data Analysis and Probability December 5, 2016 January 11, 2017 (20 days) (Part A) Data Collect Construct Graphs pictographs, bar graphs Analyze (Part B) Probability Conduct Experiments Collect Data Predict Outcomes (Parts A and B) Create and Solve 1- and 2-Step Story Problems using Data 2.17 2.19 2.18 Unit 4 End-of-Unit Assessment Part A: 2.8, 2.17, 2.19 Part B: 2.18 2.8 (2.1a) Place value of digits in two-digit numerals (2.4) Counting forward by 2s, 5s, and 10s starting at various multiples (2.10) Coin values and their equivalents, counting combinations to $1.00 (2.12) Tell time to nearest quarter hour (quarter after is 12:15) (2.22) Understand equality through use of an equality symbol (=) and inequalities
Unit 5: Number Sense and Computation 3 January 12 February 7, 2017 (17 days) Place Value to Three Digits Rounding Use > and < Symbols to Compare Numbers Estimating and Finding Sums and Differences with 2-Digit Numbers, without regrouping Counting Collections of Coins to $1.00 Review and Use Notation ($,, etc.) Create and Solve 1- and 2-Step Story Problems Equality/inequality, including with money 2.1a 2.1b 2.1c 2.6ab, 2.7ab 2.10a 2.21 2.22 Unit 5 End-of-Unit Assessment 2.1bc, 2.10a (to $1.00), 2.22 2.1bc, 2.22 and fourths (2.4) Counting forward by 2s, 5s, and 10s starting at various multiples (2.10) Coin values and their equivalents, counting combinations to $1.00 (2.12) Tell time to nearest quarter hour (quarter after is 12:15)
Unit 6: Patterns February 8 February 24, 2017 (12 days) Repeating Patterns and Growing Patterns Identify Create Extend Skip Counting Patterns Missing Addends in Story Problems Computational fluency: Mastery: Near Doubles 2.20 2.4abc 2.5, 2.21 Unit 6 End-of-Unit Assessment 2.4ac, 2.5, 2.20 and fourths (2.4) Counting forward and backward by multiples (2.10) Coin values and their equivalents, counting combinations to $1.50 (2.11) Estimate capacity (cups and pints) (2.12) Tell time to nearest quarter hour (quarter to and after) (2.16) Identify, describe, compare, and contrast plane and solid geometric figures
Continue Place Value Introduce Expanded Form Count back by tens from 100 Unit 7: Number Sense and Computation 4 February 27 March 22, 2017 (18 days) Estimating and Finding Sums and Differences with 2-Digit Numbers, with regrouping Create and Solve 1- and 2-Step Addition and Subtraction Story Problems Comparing Collections of Coins to $1.50 Computational Fluency: Mastery Plus/Minus 10 Introduce: Adding/Subtracting by Place (Tens and Ones) (Mastery in Unit 10) 2.1a 2.4b 2.6ab, 2.7ab 2.8, 2.21 2.10ab Unit 7 End-of-Unit Assessment 2.1a, 2.4b, 2.21 (2-digit +/- 1-digit) 2.1a, 2.4b (2.4) Counting forward and backward by multiples (2.9) Related facts and the inverse relationship between addition and subtraction (2.10) Coin values and their equivalents, counting combinations to $1.50 (2.11) Estimate capacity (cups, pints, quarts, and gallons) (2.12) Tell time to nearest five minutes (2.16) Identify, describe, compare, and contrast plane and solid geometric figures (2.22) Understand equality through use of an equality symbol (=) and inequalities
Unit 8: Fractions March 23 April 21, 2017 (15 days) Fractions: Halves, Thirds, Fourths, Sixths, Eighths, Tenths Review: o Identify parts of a set and or region o Identify the whole o Write fractions Compare Unit Fractions Unit 8 End-of-Unit Assessment 2.3 abc 2.3 abc fourths, sixths, eighths, and tenths. (2.4) Counting forward and backward by multiples (2.10) Coin values and their equivalents, counting combinations to $2.00 (2.11) Estimate capacity (compare cups, pints, quarts, and gallons) (2.12) Tell time to nearest five minutes
Unit 9: Number Sense and Computation 5 April 24 May 19, 2017 (20 days) Addition and Subtraction of 2-digit numbers with regrouping Estimating sums and differences of 99 or less Story Problems Creating Solving Larger Numbers Efficient Problem Solving Strategies Counting and Comparing Coins to $2.00 2.6b, 2.7b 2.6a, 2.7a 2.21 2.10 Unit 9 End-of-Unit Assessment 2.6, 2.7, 2.10, 2.21 (2.4) Counting forward and backward by multiples (2.10) Count and compare a collection of coins whose total value is $2.00 or less (2.11) Estimate capacity (liters) (2.12) Tell time to nearest five minutes (thermometer: o C, o F)
Unit 10: Measurement May 22 June 15, 2017 (18 days) Measurement Length-Inches and Centimeters Weight-ounces/pounds and grams/kilograms Volume-cups, pints, quarts, gallons, liters Temperature-Celsius and Fahrenheit Telling and writing time to the nearest 5 minutes Using the Calendar Computational Fluency: Mastery: Adding/Subtracting by Place (Tens and Ones) 2.11a 2.11b 2.11c 2.14 2.12 2.13ab Unit 10 End-of-Unit Assessment 2.11, 2.12, 2.13, 2.14 (2.4) Counting forward and backward by multiples (2.10) Count and compare a collection of coins whose total value is $2.00 or less (2.12) Tell time to nearest five minutes