The School District of Palm Beach County 2 nd Grade Mathematics Scope st Trimester. Suggested Pacing

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1 1 st Trimester Number and Operations in Base Ten (NBT) NBT.1.1 NBT.1.3 NBT.1.4 Understand place value. Understand that the three digits of a 3-digit number represent amounts of hundreds, tens, and ones. Understand the following as special cases: a. 100 can be thought of as a bundle of tens called a hundred. b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, and 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones). Read and write numbers to 1,000 using base-ten numerals, number names, and expanded form. Compare two 3-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. 1: Place Value to Days August 18 September 6 The students will: assess prerequisite skills and activate curiosity about place value identify and represent place value to 1000 model 3-digit numbers on a place value chart differentiate between a digit s place and its value relate expanded form and place value identify different names for quantities compose and decompose ones and tens compose and decompose tens and hundreds compare numbers up to 3 digits using >, =, and < symbols Fluency Check: Fluently add and subtract within 20 using mental strategies Place Value to 1000 Model Place Value with 3-Digit Numbers Differentiate Between Place and Value Relate Expanded Form and Place Value Different Number Names Compose and Decompose 2-Digit Numbers Compose ad Decompose 3-Digit Numbers Compare 3-Digit Numbers compare compose decompose digit equal to (=) expanded form greater than (>) hundreds less than (<) ones place standard form tens thousands value word/written form

2 1 st Trimester Number and Operations in Base Ten (NBT) Operations and Algebraic Thinking (OA) NBT.1.2 NBT.2.8 Understand place value. Count within 1000; skip count by 5s, 10s, and 100s. Use place value understanding and properties of operations to add and subtract. Mentally add 10 or 100 to a given number , and mentally subtract 10 or 100 from a given number Work with equal groups of objects to gain foundations for multiplication OA.3.3 Determine whether a group of objects (up to 20) has an odd or even number of members. 2: Number Sense and Patterns 10 days September 7 - September 20 assess prerequisite skills and activate curiosity about number patterns explain patterns related to odd and even numbers identify quantities of 10 more, 10 less, 100 more, and 100 less using place value strategies model counting patterns within 100 identify counting patterns on a hundreds chart model counting patterns within 1000 relate place value to number patterns Fluency Check: Fluently add and subtract within 20 using mental strategies Odd and Even Numbers 10 More/Less, 100 More/Less Counting Patterns Within 100 Counting Patterns on a Hundreds Chart Counting Patterns Within 1000 Relate Place Value to Number Patterns digit even fewer groups horizontal hundreds less than more more than odd ones pattern place skip count tens thousands value vertical

3 1 st Trimester Operations and Algebraic Thinking (OA) Represent and solve problems involving addition and subtraction. OA.1.1 OA.1.a OA.2.2 Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions. Represent and solve problems involving addition and subtraction. Determine the unknown whole number in an equation relating four or more whole numbers. Add and subtract within 20. Fluently add and subtract within 20 using mental strategies. Work with equal groups of objects to gain foundations for multiplication. OA.3.4 Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends. 3: Basic Addition and Subtraction 20 days September 21 October 20 assess prerequisite skills and activate curiosity about basic addition and subtraction use doubles facts to find sums and differences find sums using strategy Make a Ten use 10 to find differences generate related facts using the Commutative Property of Addition compute sums of 3 addends by applying the Associative Properties of Addition compute sums of 4+ addends by applying the Associative Properties of Addition use the inverse relationship of addition and subtraction to generate related facts use bar models to represent a variety of addition and subtraction situations write equations to represent and solve a variety of addition and subtraction situations relate equations and word problems explore balanced equation situations create equal groups by using the strategy Act It Out generate equations using repeated addition to find the total number of objects in arrays represent addition and subtraction using number bonds Fluency Check: Fluently add and subtract within 20 using mental strategies. Trimester Ends November 7 Double s Facts Make a Ten to Add Use Ten to Subtract Related Facts Using the Commutative Property of Addition Adding 3 Addends Using the Associative Property Adding 4+ Addends Inverse Operations Add and Subtract Using Bar Models Equations to Add and Subtract Relate Equations and Word Problems Balanced Equations Equal Groups Repeated Addition and Arrays Repeated Addition Using Number Bonds addends addition array Associative Property balanced equation bar model columns Commutative Property compensation count back count on differences doubles equals equation fluency groups inverse operation minuend minus number bond parentheses plus rows subtraction subtrahend sums symbols

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5 2 nd Trimester Represent and solve problems involving addend addition and subtraction. assess prerequisite skills and activate Break Apart to Add curiosity about 2-digit addition and Break Apart to Subtract Associative Property subtraction Use addition and subtraction within break apart ones to add and subtract Represent Addition and bar model 100 to solve one- and two-step word break apart addends to add and Subtraction with Number Break Apart strategy problems involving situations of subtract Bonds adding to, taking from, putting represent addition and subtraction with columns Place Value: 2-Digit together, taking apart, and number bonds Addition comparing, with unknowns in all Commutative on a place value chart, model and positions. Place Value: 2-Digit Property record 2-digit addition Subtraction on a place value chart, model and Compensation Use place value understanding and record 2-digit subtraction Hundreds Chart: 2-Digit strategy properties of operations to add and on a hundreds chart, model and Addition and Subtraction subtract. difference compute 2-digit addition and Number Line: 2-Digit Fluently add and subtract within 100 subtraction Addition and Subtraction digit using strategies based on place on a number line, model and compute 2-digit addition and subtraction Model Addition With equation value, properties of operations, Regrouping and/or the relationship between model addition with regrouping using horizontal addition and subtraction. quick pictures Model Subtraction With model subtraction with regrouping Regrouping inverse operations using quick pictures Model Subtraction With minuend Add up to four 2-digit numbers using model subtraction with regrouping Regrouping Across Zeros strategies based on place value and across zeros ones properties of operations. use compensation to develop flexible Compensation to Add regroup thinking for 2-digit addition Represent Addition and use a bar model to represent addition Subtraction with a Bar Model related facts and subtraction Relate addition and subtraction to length. Adding 4+ Addends subtrahend calculate sums for 4+ addends represent addition and subtraction Equations to Add and sum situations with number sentences Subtract tens using a symbol for the unknown Use addition and subtraction within Relate Word Problems and number 100 to solve word problems Equations unknown involving lengths that are given in relate equations and 1-step word problems Relate Multi-Step Word variable the same units. Problems and Equations relate equations and multi-step word vertical problems Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) Measurement and Data (MD) OA.1.1 NBT.2.5 NBT.2.6 MD.2.5 4: 2-Digit Addition and Subtraction with Strategies 22 days October 24 November 29

6 2 nd Trimester Measurement and Data (MD) Measure and estimate lengths in standard units. MD.1.1 MD.1.2 MD.1.3 MD.1.4 Measure the length of an object to the nearest inch, foot, centimeter, or meter by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. Describe the inverse relationship between the size of a unit and number of units needed to measure a given object. Estimate lengths using units of inches, feet, yards, centimeters, and meters. Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard unit length. Relate addition and subtraction to length. MD.2.6 Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, and represent whole-number sums and differences within 100 on a number line diagram. 5: Measure Length 26 days November 30 January 20 assess prerequisite skills and activate curiosity about number patterns create a ruler showing 12 inches equal 1 foot discover how measurement is additive measure length with inch models estimate and measure using inches estimate length using feet and yards measure an object using inches and feet compare inches, feet, and yards to relate the inverse relationship between unit size and number needed interpret word problems involving customary measurements create a meter stick showing 100 centimeters equal 1 meter relate metric and customary length relate number lines and length tools consider the task when choosing the appropriate measurement tool and unit of measure estimate and measure using centimeters measure an object using meters and centimeters compare meters and centimeters yards to relate the inverse relationship between unit size and number needed interpret word problems involving metric measurements use models to represent multi-step work problems problem solve measuring an object using a broken ruler Fluency Check: Fluently add and subtract within 20 using mental strategies. Make a Ruler Measurement is Additive Measure Using Inch Models Estimate and Measure Inches Estimate Yards and Feet Measure Objects Using Inches and Feet Compare Customary s of Measure Customary Word Problems Make a Meter Stick Relate Customary and Metric s of Measure Relate Number Lines and Measurement Tools Choose the Appropriate Tool Estimate and Measure Using Centimeters Measure Objects Using Centimeters and Meters Compare Metric s of Measure Metric Word Problems Multi-Step Word Problems Measure With a Broken Ruler additive centimeter distance estimate foot height inch inverse relationship length measure measuring tape meter meter stick non-standard unit number line ruler standard unit unit yard yardstick

7 2 nd Trimester Measurement and Data (MD) MD.3.7 MD.3.8 Work with time and money. Tell and write time from analog and digital clocks to the nearest five minutes. Solve one- and two-step word problems involving dollar bills (singles, fives, tens, twenties, and hundreds) or coins (quarters, dimes, nickels, and pennies) using $ and symbols appropriately. Word problems may involve addition, subtraction, and equal groups situations. a. Identify the value of coins and paper currency. b. Compute the value of any combination of coins within one dollar. c. Compute the value of any combinations of dollar bills. d. Relate the value of pennies, nickels, dimes, and quarters to other coins and to the single dollar bill. 6: Money and Time 20 days January 23 February 17 assess prerequisite skills and activate curiosity about money understand the coin name, value, and features order and compare coins and paper currency order coins and bills in a collection by value and then find the total value using the skip-counting strategy without sorting, count collections of coins within $1 using the counting-on strategy on a hundreds chart, model coin equivalences to $1 represent coin equivalences within $1 as a balanced equation draw models to add paper currency within $100 solve word problems involving money by using quick pictures, number bonds, bar models, etc. assess prerequisite skills and activate curiosity about time tell and write time to the hour and half hour tell and write time to the nearest five minutes tell and write time using only the hour hand tell and write time using fractions of an hour and/or time phrases Fluency Check: Fluently add and subtract using mental strategies. Trimester Ends February 17 Coin Names, Values, and Features Order and Compare Coins and Bills Order Coins, Then Skip-Count to Add Count Mixed Collections of Coins Within $1 Hundreds Chart: Coin Equivalences Within $1 Balanced Equations Draw Models: Add Bills Within $100 Tell Time to Nearest Hour and Half Hour Tell Time to Nearest 5 Minutes Tell Time Using Only Hour Hand Tell Time With Fractions and Phrases MONEY attributes bills cent sign ( ) coins currency dime dollar dollar sign ($) decimal point nickel penny President quarter single size value TIME analog digital half past hour hour hand midnight minute hand minutes noon o clock quarter past

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9 3 rd Trimester Number and Operations in Base Ten (NBT) Operations and Algebraic Thinking (OA) Use place value understanding and properties of operations to add and subtract. NBT.2.7 NBT.2.9 OA.1.a Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting 3-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds. Explain why addition and subtraction strategies work, using place value and the properties of operations. DOK3 Represent and solve problems involving addition and subtraction. Determine the unknown` whole number in an equation relating four or more whole numbers. 7: 3-Digit Addition and Subtraction with Strategies 23 days February 21 March 31 assess prerequisite skills and activate curiosity about 3-digit addition and subtraction use base ten blocks to model and represent 3-digit addition with and without regrouping use base ten blocks to model and represent 3-digit subtraction with and without regrouping use base ten blocks to model and represent 3-digit addition and subtraction with regrouping across zeros use inverse operations (related facts) to add and subtract use the break apart strategy to model and represent 3-digit addition with and without regrouping use the break apart strategy to model and represent 3-digit subtraction with and without regrouping use the break apart strategy to model and represent 3-digit addition and subtraction with regrouping across zeros represent addition and subtraction in word problems with equations and models use the standard algorithm to model and represent 3-digit addition with and without regrouping use the standard algorithm to model and represent 3-digit subtraction with and without regrouping use the standard algorithm to model and represent 3-digit addition and subtraction with regrouping across zeros draw models to represent and solve balanced equation situations represent word problems using balanced equation models Place Value: Addition With and Place Value: Subtraction With and Place Value: Addition/Subtraction Across Zeros Use Inverse Operations to Add and Subtract Break-Apart: Addition With and Break-Apart: Subtraction With and Place Value: Addition/Subtraction Across Zeros Draw Models: Addition With and Draw Models: Subtraction With and Draw Models: Addition/Subtraction Across Zeros 3-Digit Word Problems Draw Models: Balanced Equations Balanced Equations With Word Problems Standard Algorithm: Addition With/ Standard Algorithm: Subtraction With/ Standard Algorithm: Subtraction Across Zeros addends algorithm Associative Property balanced equation bar model Break Apart strategy Commutative Property difference equation hundreds minuend number bond ones parentheses regroup subtrahend sum symbol tens unknown value

10 The School Fluency District Check: of Palm Fluently Beach add and County subtract within 20 using mental strategies. 3 rd Trimester Measurement and Data (MD) MD.4.9 MD.4.10 Represent and interpret data. Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where horizontal scale is marked off in whole-number units. Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put- together, take-apart, and compare problems using information presented in a bar graph. 8: Represent and Interpret Data 14 Days April 3 April 21 assess prerequisite skills and activate curiosity about graphing and interpreting data collect data using frequency tables and tally charts read and interpret data organized on a line plot relate line plots to number lines use length data to make a line plot data display read and interpret data organized on a picture graph create and summarize data on a picture graph read and interpret data organized on a bar graph create and summarize data on a bar graph, including take-apart, put-together, and comparisons situations Fluency Check: Fluently add and subtract within 20 using mental strategies. Collect Data Using Tables and Tallies Read and Interpret Line Plots Relate Line Plots to Number Lines Use Length Data to Make a Line Plot Read and Interpret Picture Graphs Make Picture Graphs Read and Interpret Bar Graphs Make Bar Graphs bar graph categories column compare data frequency table horizontal key labels length line plot number line picture graph represent row scale symbols tally mark title unit vertical

11 3 rd Trimester Geometry (G) G.1.1 G.1.2 G.1.3 Reason with shapes and their attributes. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. Partition a rectangle into rows and columns of same-size squares ad count to find the total number of them. Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc, and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape. 9: Geometry 17 days April 24 May 16 assess prerequisite skills and activate curiosity about geometry understand what a dimension is and how it relates to 2- and 3-dimensional shapes name and list attributes of 3-dimensional shapes use nets to construct 3- dimensional figures name and list attributes of 2-dimensional shapes sort 2-dimensional shapes according to their attributes compare and contrast 2- and 3-dimensional shapes differentiate between 2- and 3-dimensional shapes to answer Who am I? riddles partition rectangles into equal parts partition rectangles into squares partition circles into equal parts show and describe equal parts of a whole draw a model to represent equal shares word problems Fluency Check: Fluently add and subtract within 20 using mental strategies. Trimester Ends June 2 What is a Dimension? 3-Dimensional Shape Names and Attributes Make 3-Dimensional Shapes 2-Dimensional Shape Names and Attributes Sort 2-Dimensional Shapes Compare/Contrast 2- and 3- Dimensional Shapes Shape Riddles Partition Rectangles into Equal Parts Partition Rectangles into Squares Partition Circles into Equal Parts Show and Describe Equal Parts of a Whole Equal Shares Word Problems angle circle cone cube cylinder dimension face hexagon length pentagon prism pyramid quadrilateral rectangle side sphere square triangle vertex vertices array column equal parts equal shares fourth fourth of half half of partition row third third of whole