a common core aligned yearlong plan Teacher Notes This second grade math curriculum map will give you an idea of the scope and sequence of math instruction for second grade. This is the same curriculum map I have taught the past several years. Although a few of the standards have changed months here and there (like geometry and measurement), most of it has remained consistent. Most of the content is chronological and meant to be taught in the sequence it is presented. However, there are a few standards / units that can be changed around, like the measurement and geometry standards. The first part of the year is heavily focused on addition. Once I make sure students have a solid understanding of addition, we focus intently on subtraction during the middle of the year. I have found that this separate focus helps students go deep with one skill before moving onto the opposite one. To find out more about curriculum mapping and how I plan out my year, my topics and my daily lessons, visit this blog post. Also included in this blog post is a free blank curriculum map where you can fill in and arrange your own year. If you would like, you can purchase all the resources outlined in this curriculum map in one BUNDLE, that will save you over 35% of purchasing each item individually. As I add resources to the Second Grade Math BUNDLE, the price will increase accordingly. The BUNDLE will always be over 35% off. To see all my math blog posts in one place, click here. © Jessica Boschen • What I Have Learned Teacher Notes This curriculum map is presented to you in two formats. One is the standards by month so that you can see the scope and sequence over the course of the year. This view shows you how it all flows together. However, know that I am not rigid about starting a new unit at the beginning of each month. I adjust accordingly for student needs. I have also left the end of the year a bit lighter for more review and to give a bit of wiggle room, if certain units take longer than expected. Also understand that our calendar, including winter and spring breaks, may be during different months, which is why some months are lighter or heavier than others. The second format is by unit, which is how I plan my time and resources. In this format, you will find links to the products that I use to teach that group of standards. Not all of the units are complete, but will be added to over the course of this next year. I will update the curriculum map as I create and add resources to my store. As I developed this curriculum map, I noticed that the unit pages had more resources for math centers / stations than for whole group lessons. One of my goals this next year is to add more resources for whole group instruction. A few of my resources are yearlong, differentiated for a variety of skills and number combinations. Those resources are on the following page. In addition, I have a few seasonal math stations and activities.. Although the skills in these stations may not be taught during that unit, I use it to review previously taught skills and included it during the unit where the month occurs. I have also included relevant blog posts for each unit, if available. The blog posts may give you an idea of how I’ve taught a unit with additional images and details not included in the products. © Jessica Boschen • What I Have Learned Year-Long Resources These year-long resources are used every day or every week in my classroom. They spiral throughout the year and increase in complexity, depending on the pages or problems chosen. The topics in these products are ones that need to be spiraled so that students have a strong and deep grasp of the concept. This Daily Math focused on place value, decomposing numbers, patterns, when adding by 10, and 100, and using a number line. During the first part of the year, we work with numbers 0-99. During the second part of the year we focus on numbers 100 - 999. We use these discussion cards to talk about our mathematical thinking when solving complex problems. This blog post goes into more detail about these discussion cards. These Cut and Paste activities give me one more point of practice, especially on those days when I just need an activity that students know how to do and that takes some time. These word problems are grouped by problem type. In addition, each word problem has blank spaces for the numbers. At the beginning of the year, we focus on solving problems with single digit numbers. As students gain computational fluency with multi-digit numbers, we start using two-digit numbers in our word problems. This blog post goes into more detail about this product and offers a FREE Download. If your’e just looking for the posters, I’ve listed that as a separate resource. © Jessica Boschen • What I Have Learned Year-Long Resources This number line is color coded so that students can not only count by 5s and 10s easily, but they can also “see” friendly numbers. We use it daily for doing our Daily Math. We also use it during our instruction on two-digit addition to show students how to get to the next “friendly number” and make jumps of 10. We start these Automaticity Assessments during our unit on Addition and Subtraction and then extend it all year long as students gain fluency with their math facts. I use these Number Puzzles throughout the year during our math stations. They span all major second grade concepts and help students see the concepts using different models and representations. These Money Matching & Word Problems are themed by month. The earlier months are only coins. The later months add dollars. The Solve the Room activities span multiple skills. They work like a scoot game where students move around the room solving each problem. I have Solve the Room for most months of the year. © Jessica Boschen • What I Have Learned Themed Math Stations / Centers These themed math stations are a review of previously taught concepts. However, as I have moved a few standards around (like measurement or geometry), skills may not match the month’s theme. I tend to do themed math stations during the second half of the year, although we do math stations all year long. © Jessica Boschen • What I Have Learned Curriculum Map - By Month Geometry Measurement Numbers & Operations Operations and Algebraic Thinking August / September Understand Addition & Subtraction 2.OA.1: Use addition within 20 to solve oneand two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions 2.OA.2: Fluently add within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers. 2.NBT.2: Count within 1000; skip-count by 2s, 5s, 10s, and 100s 2.NBT.8: Mentally add and subtract 10 or 100 to a given number 100–900 2.NBT.9: Explain why addition strategies work, using place value and the properties of operations. October Two-Digit Addition November Place Value & Three-Digit Addition 2.NBT.6: Add up to four two-digit numbers using strategies based on place value and properties of operations. 2.NBT.4: Compare two three-digit numbers based on meanings 2.NBT.5: Fluently add within 100 using 2.NBT.7: Add within 1000 using concrete strategies based on place value, properties models or drawings and strategies based on of operations and/or the relationship place value, properties of operations and/or between addition and subtraction. the relationship between addition and 2.NBT.1: Understand that the three digits of subtraction; relate the strategy to a a three-digit number represent amounts of written method. Understand that in adding hundreds, tens, and ones. three-digit numbers, one adds the hundreds 2.NBT.3: Read and write numbers to 1000 and hundreds, tens and tens, ones and ones; using base-ten numerals, number names, and sometimes it is necessary to compose and expanded form. or decompose tens or hundreds. 2.MD.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 within 100 on a number line diagram. 2.MD.10: 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. December Measurement 2.MD.1: Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 2.MD.2: Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. 2.MD.3: Estimate lengths using units of inches, feet, centimeters, and meters. 2.MD.4: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. 2.MD.5: Use addition within 100 to solve word problems involving lengths that are given in the same units and equations with a symbol for the unknown number to represent the problem. © Jessica Boschen • What I Have Learned Curriculum Map - By Month Operations and Algebraic Thinking 2.NBT.9: Explain why subtraction strategies work, using place value and the properties of operations. 2.NBT.5: Fluently subtract within 100 using strategies based on place value, properties of operations and/or the relationship between addition and subtraction. Geometry Measurement 2.OA.1: Use 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 2.OA.2: Fluently subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two onedigit numbers. Numbers & Operations January Two-Digit Subtraction February Three-Digit Addition & Subtraction 2.NBT.7: 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 subtracting three-digit numbers, one 2.MD.5: Use subtraction within 100 subtracts hundreds and hundreds, to solve word problems involving tens and tens, ones and ones; and lengths that are given in the same sometimes it is necessary to units and equations with a symbol compose or decompose tens or for the unknown number to hundreds. represent the problem. 2.NBT.7.1 Use estimation strategies 2.MD.6: Represent whole numbers in computation and problem solving as lengths from 0 on a number with numbers up to 1000. line diagram with equally spaced 2.NBT.7.2 Make reasonable points corresponding to the numbers 0, 1, 2, ..., and represent estimates when adding or subtracting. whole-number differences within 100 on a number line diagram. March Shapes, Partitioning, Fractions 2.G.1: 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. 2.G.2: Partition a rectangle into rows and columns of same-size squares and count to find the total number of them. 2.G.3: 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. April Time & Money May Multiplication 2.OA.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. 2.OA.3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. 2.MD.7: Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. Know relationships of time (e.g., minutes in an hour, days in a month, weeks in a year). 2. MD.8: Solve word problems involving combinations of dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. © Jessica Boschen • What I Have Learned Unit 1: Understand Addition & Subtraction 2.OA.1: Use addition and subtraction within 20 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 2.OA.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers. 2.NBT.2: Count within 1000; skip-count by 2s, 5s, 10s, and 100s 2.NBT.8: Mentally add and subtract 10 or 100 to a given number 100–900 2.NBT.9: Explain why addition strategies work, using place value and the properties of operations. At the beginning of the school year, we focus a lot on establishing a deep understanding of addition strategies, multiple ways of solving problems, and explaining our thinking. We have lot of class discussions on how problems are solved and engage in exchanging ideas. Although we do some work on subtraction, the main focus is addition. © Jessica Boschen • What I Have Learned Unit 2: Two-Digit Addition 2.NBT.5: Fluently add within 100 using strategies based on place value, properties of operations and/or the relationship between addition and subtraction. 2.MD.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 within 100 on a number line diagram. 2.MD.10: 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. After students have a solid understanding of single-digit addition strategies, we move onto two-digit addition, maintaining our rich discussion on how students solve problems. While working with two-digit addition, we solve problems using an open number line. During this unit, we also start to solidify our understanding of place value. However, since we have been doing Daily Math since the beginning of the year, I find that students don’t need as much direct instruction on place value. Blog Posts Number Lines Jumping Around (Number Lines) Vertical Number Lines Composing / Decomposing Numbers Models & Strategies for Two-Digit Addition and Subtraction © Jessica Boschen • What I Have Learned Unit 3: Place Value 2.NBT.1: Understand that the three digits of a threedigit number represent amounts of hundreds, tens, and ones. 2.NBT.3: Read and write numbers to 1000 using baseten numerals, number names, and expanded form. 2.NBT.6: Add up to four two-digit numbers using strategies based on place value and properties of operations. 2.NBT.4: Compare two three-digit numbers based on meanings In this unit, we continue on with place value and use some place value understanding to revisit addition. Again, because we have done Daily Math since the beginning of the year, I find students don’t need as much instruction during this unit. These concepts also spiral as we get deeper into multi-digit addition and subtraction. © Jessica Boschen • What I Have Learned Unit 4: Measurement 2.MD.1: Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 2.MD.2: Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. 2.MD.3: Estimate lengths using units of inches, feet, centimeters, and meters. 2.MD.4: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. 2.MD.5: Use addition within 100 to solve word problems involving lengths that are given in the same units and equations with a symbol for the unknown number to represent the problem. We have been so focused on addition that this measurement unit provides a good break. Blog Posts Measuring Pumpkins Pumpkin Exploration © Jessica Boschen • What I Have Learned Unit 5: Two-Digit Subtraction 2.OA.1: Use 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 2.OA.2: Fluently subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers. 2.NBT.9: Explain why subtraction strategies work, using place value and the properties of operations. 2.NBT.5: Fluently subtract within 100 using strategies based on place value, properties of operations and/or the relationship between addition and subtraction. 2.MD.5: Use subtraction within 100 to solve word problems involving lengths that are given in the same units and equations with a symbol for the unknown number to represent the problem. 2.MD.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 differences within 100 on a number line diagram. During this month, we focus heavily on subtraction. Using our foundation in addition, students learn a variety of subtraction strategies. Although I do allude to the traditional algorithm, and even teach it, it is not a huge focus. I want students to be able to solve subtraction problems and explain how they solved the problem, not repeat a series of steps. During this month, we interact with subtraction problems in a variety of ways using different strategies. Blog Posts Example / Non-Example © Jessica Boschen • What I Have Learned Unit 6: Three Digit Addition & Subtraction 2.NBT.7: 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 subtracting three-digit numbers, one subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds. 2.NBT.7.1 Use estimation strategies in computation and problem solving with numbers up to 1000. 2.NBT.7.2 Make reasonable estimates when adding or subtracting. Coming Soon! In looking through my store, I realized that I don’t have many resources for three-digit addition and subtraction. I will add more soon! Blog Posts Ways to solve multi-digit addition and subtraction problems © Jessica Boschen • What I Have Learned Unit 7: Shapes, Partitioning & Fractions 2.G.1: 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. 2.G.2: Partition a rectangle into rows and columns of same-size squares and count to find the total number of them. 2.G.3: 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. After recognizing and drawing a variety of shapes, we moving onto partitioning shapes. Although I am missing resources for shapes, the unit on partitioning rectangles into rows and columns is complete. Blog Posts Partitioning Rectangles Understand Fractions by Using Sentence Frames © Jessica Boschen • What I Have Learned Unit 8: Time & Money 2.MD.7: Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. Know relationships of time (e.g., minutes in an hour, days in a month, weeks in a year). 2. MD.8: Solve word problems involving combinations of dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Time and Money are two of the standards that I try to teach throughout the year. These are more difficult concepts, but at the same time, lend themselves to authentic learning opportunities. We keep track of our class schedule and often talk about time, in relation to our schedule. In or class, I also have a money reward system where students earn coins for being on task. Blog Posts Money, Money, Money © Jessica Boschen • What I Have Learned Unit 9: Multiplication 2.OA.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. 2.OA.3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. The main focus for second grade is building arrays, working with repeated addition, and odd and even numbers. Blog Posts Building Arrays Our Foray into Multiplication Things that Come in Groups Multiplication Arrays © Jessica Boschen • What I Have Learned