Russell County Schools Grade 2 Math Pacing

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Operations and Algebraic Thinking [OA] Represent and solve problems involving addition and subtraction. Add and subtract within 20. Work with equal groups of objects to gain foundations for multiplication. Number and Operations in Base Ten [NBT] Understand place value. Use place value understanding and properties of operations to add and subtract. Measurement and Data [MD] Measure and estimate lengths in standard units. Relate addition and subtraction to length. Work with time and money. Represent and interpret data. Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Geometry [G] Reason with shapes and their attributes. May 2016 1

2 nd Represent and solve problems involving addition and subtraction. 1.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, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. [2-OA1] Operations and Algebraic Thinking sum doubles addends count on differences related facts count back adding to taking from comparing symbol I can add and subtract to solve word problems. January 9-13 2 nd Add and subtract within 20. 2. Fluently add and subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers. [2-OA2] sum doubles addends count on differences related facts count back adding to taking from comparing symbol mental I can fluently add and subtract I can within 20 in my head. I can recall basic math facts from memory. January 9-13 Work with equal groups of objects to gain foundations for multiplication. 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-OA3] even odd digits ones odd even pairing equation sum addend addition sentence I can tell whether a group of objects is odd or even I can write an equation which shows adding the same two numbers will result in an even number. October 17-21 May 2016 2

2 nd 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-OA4] sum doubles addends count on differences related facts count back adding to taking from comparing symbol I can use addition to find the total of an array. I can write an equation that represents an array. January 9-13 Number and Operations in Base Ten Understand place value. 5. Understand that the three digits of a three-digit number represent amounts of hundreds,, and ones; e.g., 706 equals 7 hundreds, 0, and 6 ones. Understand the following as special cases: [2-NBT1] hundreds thousands greater than less than equal to I can explain three-digit numbers using hundreds,, and ones. October17-21 5a. 100 can be thought of as a bundle of ten called a hundred. [2-NBT1a] bundle of hundred thousands less than greater than hundreds equal to I can explain 100 is a bundle of ten. October17-21 5b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 and 0 ones). [2-NBT1b] hundreds thousands greater than less than equal to I can explain how many hundreds are in multiples of 100. October17-21 6. Count within 1000; skip-count by 5s, 10s, and 100s. [2-NBT2] even odd digits ones odd even pairing equation sum skip count addend addition sentence I can skip-count by 5 s within 1000. I can skip-count by 10 s within 1000. I can skip-count by 100 s within 1000. October17-21 May 2016 3

7. Read and write numbers to 1000 using base-ten numerals, number names, and expanded form. [2-NBT3] hundreds thousands greater than less than equal to I can read numbers to 1000. I can write numbers to 1000 in different forms. October17-21 8. Compare two three-digit numbers based on meanings of the hundreds,, and ones digits, using >, =, and < symbols to record the results of comparisons. [2-NBT4] hundreds thousands greater than less than equal to I can three-digit numbers using symbols. October17-21 2 nd 2 nd Use place value understanding and properties of operations to add. 9. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. [2-NBT5] 10. Add up to four two-digit numbers using strategies based on place value and properties of operations. [2- NBT6] ones add subtract sum regroup place value properties of operations ones add sum place value regroup properties of operations I can fluently add within 100. I can fluently subtract within 100. I can add up to four two-digit numbers. January 9-13 January 9-13 11. 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 three digit numbers, one adds or subtracts hundreds and hundreds, and, ones and ones; and sometimes it is necessary to compose or decompose or hundreds. [2-NBT7] hundreds thousands regroup digits place value digit decompose compose properties of operations I can add within 1000 using strategies I can explain. I can subtract within 1000 using strategies I can explain. I can relate addition and subtraction strategies to written methods. May 2016 4

12. Mentally add 10 or 100 to a given number 100 900, and mentally subtract 10 or 100 from a given number 100 900. [2-NBT8] ten less hundred less hundred more ten more mentally I can add 10 to numbers in my head. I can add 100 to numbers in my head. I can subtract 10 from numbers in my head. I can subtract 100 from numbers in my head. October 17-21 2 nd 13. Explain why addition and subtraction strategies work, using place value and the properties of operations. [2-NBT9] subtraction addition place value properties of operations I can explain why addition strategies work. I can explain why subtraction strategies work. January 9-13 Measure and estimate lengths in standard units. 14. Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. [2-MD1] Measurement and Data inch length centimeter meter meter sticks tools yardsticks rulers measuring tapes I can select appropriate tools for measuring length. I can measure the length of an object. 15. 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-MD2] inch length centimeter meter meter sticks tools yardsticks rulers measuring tapes I can measure the length of objects using different length units. I can describe the relationship of different length units. 16. Estimate lengths using units of inches, feet, centimeters, and meters. [2-MD3] inch estimate length meter centimeter tools meter sticks rulers yardsticks measuring tapes I can estimate lengths. May 2016 5

17. Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. [2-MD4] inch length difference meter centimeter tools meter sticks rulers yardsticks measuring tapes I can find the difference in length of two objects. Relate addition and subtraction to length. 18. Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. [2-MD5] subtraction more than fewer than symbol addition lengths I can add to solve word problems that involve length. I can subtract to solve word problems that involve length. 19. 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. [2-MD6] subtraction addition more than fewer than lengths symbol number line diagram I can add using a number line. I can subtract using a number line. Work with time and money. 20. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. [2-MD7] analog midnight half past quarter past quarter til p.m. digital noon minute hour a.m. I can tell time to the nearest five minutes. I can write time to the nearest five minutes. May 2016 6

21. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and symbols appropriately. [2-MD8] Example: If you have 2 dimes and 3 pennies, how many cents do you have? dime nickel penny quarter dollar $ cent sign Ȼ decimal point I can solve word problems involving money. I can use the $ and symbols. Represent and interpret data. 22. 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 the horizontal scale is marked off in whole-number units. [2-MD9] line plot horizontal whole unit line plot key vertical data I can collect data by measuring lengths. I can make a line plot to show data. 4 th 23. 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 problems using information presented in a bar graph. [2- MD10] (See Appendix A, Table 1.) survey picture graph tally marks put together take apart data tally chart bar graph I can draw a picture graph. I can draw a bar graph. I can solve problems using a bar graph. Geometry 4 th Reason with shapes and their attributes. 24. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.5 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. [2-G1] attributes 2-D triangles 3-D pentagons faces hexagons cubes cylinder sphere quadrilaterals vertex vertices side rectangular prism cone May 2016 7

4 th 25. Partition a rectangle into rows and columns of samesize squares and count to find the total number of them. [2- G2] partition columns horizontal rows vertical I can partition a rectangle into rows and columns of same-size squares and count the total number. 4th 26. 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. [2-G3] 4See Glossary, Table 1. 5Sizes are d directly or visually, not d by measuring equal shares half of third of fourth of equal parts whole partition halves thirds fourths identical quarter I can divide circles and rectangles into equal parts. I can describe equal parts as part of a whole. I can recognize equal shares of identical shapes do not have to be the same shape. May 2016 8

Assessment Schedule All Standards Benchmark 1 Formative 1 Formative 2 Benchmark 2 October 17-21 January 9-13 April 24-28 3 - OA 3 1 - OA 1 5 - NBT 1 2 - OA 2 All Standards 5a - NBT 1a 4 - OA 4 5b - NBT 1b 9 - NBT 5 6 - NBT 2 10 - NBT 6 7 - NBT 3 13 - NBT 9 8 - NBT 4 12 - NBT 8 May 2016 9

First Semester Fluency Facts Fluency Target August 15-19 Addition 1s August 19 August 22-26 Addition 2s August 26 August 2 - September 2 Addition 3s September 2 September 6-9 Addition 1-3 September 9 September 12-16 Addition 4s September 16 September 19-23 Addition 5s September 23 September 26-30 Addition 6s September 30 October 3-7 Addition 1-6 October 7 October 17-21 Addition 7s October 21 October 24-28 Addition 8s October 28 October 31 November 4 Addition 9s November 4 November 7-10 Addition 1-9 November 10 November 14-18 Addition doubles November 18 November 28 December 2 Addition Doubles plus 1 December 2 December 5-9 Addition - All December 9 December 12-16 Addition - All December 16 May 2016 10

Notes: Second Semester Fluency Facts Fluency Target January 9-13 Addition and Subtraction 0s January 13 January 17-20 Subtraction 1s January 20 January 23-27 Subtraction 2s January 27 January 30 February 3 Subtraction 3s February 3 February 6-10 Subtraction 1-3 February 10 February 13-17 Subtraction 4s February 17 February 21-24 Subtraction 5s February 24 February 27 March 3 Subtraction 6s March 3 March 6-10 Subtraction 1-6 March 10 March 13-17 Subtraction 7s March 17 March 27-31 Subtraction 8s March 31 April 3-7 Subtraction 9s April 7 April 10-13 Subtraction 1-9 April 13 April 17-21 Subtraction All April 21 April 24-28 Subtraction All April 28 May 1-5 Addition/Subtraction All May 5 May 2016 11

May 8-12 Addition/Subtraction All May 12 Notes: May 2016 12