SCS Mathematics Detailed Curriculum Map 2012-2013 Grade 2, Part 4 Fractions (3 weeks) Investigations Unit 7 SOL 2.3 – See VDOE SOL Curriculum Framework for Details Big Ideas Fractions represent equal-size parts of a whole or a whole set The fraction name tells the number of equal parts in the whole (fourth is 4 parts) Larger the denominator, the smaller the part, and the smaller the fraction Identify, represent fractions, compare unit fractions Anchor Experience Halves of blocks, balloons, and rectangles, Investigations, Unit 7, session 1.3 Fair Shares, VDOE Enhanced scope and sequence http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-3ab.pdf Classroom Routines and Mini-lessons Classroom Routines from Investigations: What time is it? Today’s Number, Quick Images, How Many Pockets? Supplemental Classroom Routines (suggested): Calendar and telling time (Mon, Wed) Counting money and math combinations (+/-) (Tues/Thurs). Rounding and estimating (Fri). Minilessons from Early Addition and Subtraction-Fosnot or Number Talks by Parrish Resources Primary Resources: Investigations Unit 7 1. One half 2. Halves, thirds, and fourths (extend to include sixths, eights, and tenths) Compare Unit Fractions – a sample activity is in appendix, there are also many online activities listed below Fair Shares, VDOE Enhanced scope and sequence http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-3ab.pdf in this lesson students identify the parts of a set and/or region that represent fractions for halves, thirds, fourths, sixths, eighths, and tenths Supplemental Resources: Van de Walle p.251-259 Mathwire.com Investigations Student math book and flip chart p. 84-91 Fraction flags online (see online resources) Assessments Ongoing: Session 1.4, See pg 14 and 15 of Investigations Unit 7 for list of ongoing assessments, informal assessments; Post-assessment: Session 2.6 Investigations, Common Grade level assessment to include all fractions required Objectives Completed by end of this unit - SOL 2.3ABC Strategies Using a common whole to compare fractions Using landmark fractions (is it closer to…0, 1/2, 1) Recognize fractions represent equal-size parts of a whole Models Unifix cubes Fraction models Real world sets of items to divide Pattern blocks Vocabulary Halves, thirds, fourths, sixths, eighths, tenths Whole Numerator Denominator Equivalent fraction Fair shares Unit fraction Region Set Group Compare represent Online Resources/Games Comparing fractions http://www.conceptuamath.com/fractions/comparing-fractions.html Fraction Flags Thirds - http://resources.oswego.org/games/fractionflags/ffthirds.html Fraction flags halves and quarters http://resources.oswego.org/games/fractionflags/fractionflags.html Illuminations.com VDOE enhanced scope and sequence ABCYA.COM fraction tiles http://www.abcya.com/fraction_tiles.htm Investigations Smartboard activities www.mathwire.com Smart exchange smartboard activities Name the fraction http://nlvm.usu.edu/en/nav/frames_asid_104_g_1_t_1.html Addition, Subtraction and Place Value (4 weeks) Investigations, Unit 8 and supplemental materials SOL 2.4C, 2.5, 2.6AB, 2.7 AB, 2.9, 2.22 – See VDOE SOL Curriculum Framework for Details Big Ideas Adding even and odd numbers Making sense of and developing strategies to solve addition and subtraction problems with totals to 100 Relating unknown addition and subtraction combinations to known combinations to 10 +10. Anchor Experience Investigations Unit 8 – Session 3 Classroom Routines and Mini-lessons Investigations -Today’s Number, What Time is it? Quick Images Supplemental Classroom Routines (suggested): o Calendar and telling time (Mon and Wed) o Rounding and estimation (Tues, Thurs) o Counting money (Fri) Minilessons from Early Addition and Subtraction-Fosnot or Number Talks by Parrish Resources Primary Resources: Investigations Unit 8 1. Adding Even and Odd Numbers 2. Remaining addition combinations 3. Subtraction 4. Addition NEED TO SUPPLEMENT WITH Create and solve 2-step addition and subtraction problems using data Ages and Timelines, Fosnot (Days 1-3 and string on day 5) and Early Addition and Subtraction, Fosnot Lessons on using the open number line for addition and subtraction Supplemental Resources: Van de Walle, pgs276-287 Mathwire.com games Assessments On-going:Unit 8, session 3.5, 4.3, see pg. 14 and 15 of unit 8 guide Post-Assessment: Unit 8 – session 4.5, common grade level assessment Objectives completed SOL 2.4c, 2.6ab, 2.7ab,2.8, 2.21, 2.22 Strategies Models/Tools Adding even and odd numbers Knowing addition combinations Plus 1 and plus 2 combinations Subtracting in parts Adding up or subtracting back Open number line Vocabulary OPEN Number line 100 chart Base ten blocks Counting cubes place value digit combinations difference sum friendly number equal equality Equation Equivalent pattern doubles Online Resources/Games Investigations Smart Board Lessons Lessons from the VDOE Enhanced Scope and Sequence: Mathwire.com Smartexchange.com Illuminations sequence quantity Measurement Investigations Unit 9 (approx. time- 12 days) SOL 2.11 and 2.12 – See VDOE SOL Curriculum Framework for Details Big Ideas Establishing a need for using a common unit of measure. (nonstandard and standard) Comparing two lengths, two widths, two weights, two volumes, and two masses. Identifying length/width, weight, and volume/mass. Estimating and calculating length, weight, and volume/mass. Note: Time has been covered throughout the year with the What Time is It? Classroom routine. This unit provides more lessons if needed. Anchor Experience Investigations Unit 9 Session 3.1, 3.2, 3.3, 3.4, 3.5 (Inches/Centimeter) Standards of Learning Enhanced Scope and Sequence or other hands-on measurement activities. Classroom Routines and Mini-lessons Investigations -Today’s Number, What Time is it? Quick Images Supplemental Classroom Routines (suggested): o Calendar and telling time (Mon and Wed) o Rounding and estimation (Tues, Thurs) o Counting money (Fri) o Minilessons from Early Addition and Subtraction-Fosnot or Number Talks by Parrish Resources Primary Investigations Unit 9 Supplemental Kite Tail Measurement Activity (if needed) http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-11a.pdf A Weigh We Go http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-11b.pdf How Much Will It Hold http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-11c.pdf Check the Time (Could call My Last Days in second grade) http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-12.pdfTeaching Student-Centered Mathematics by Van de Walle and Lovin pages 238- 240 Activities 8.13, 8.14, 8.15 (Volume and Capacity) Assessments Investigations: 3.1 The King’s Foot Grade-level created cumulative measurement assessment Assessments included in the VDOE lessons Objectives completed by the end of this unit SOL 2.11 and 2.12 Strategies Estimating and measuring the length of various line segments and objects to the nearest inch and centimeter. Estimate and then measure the weight/mass of the objects to the nearest pounds/ounces and kilograms/gram, using a scale. Estimate and measure liquid volume in cups, pints, quarts, gallons, and liters. Models/Tools Rulers cm/in. Standard and Metric scales Cups, Pints, Quarts, Gallons, and LitersMeasuring Tools Vocabulary Estimate Measure Centimeter/Inch Length Online Resources/Games Mathwire.com ABCYA.com Weight/Mass Pounds/Ounces/Grams Scales/ Balance Metric Liquid Volume/Capacity Cups, Pints, Quarts, Gallons, and Liters SCS Mathematics Detailed Curriculum Map 2012-2013 Grade 2, Part 4 7 SCS Mathematics Detailed Curriculum Map 2012-2013 Grade 2, Part 4 8 Appendix 9 Fractions Recommended Book List Title Author Eating Fractions Picture Pie I and Picture Pie II Gator Pie How Many Ways Can You Cut a P-I-E? Fractions Are Parts of Things Half and Half The Village of Round and Square Houses The Doorbell Rang Bruce McMillan Ed Emberly Louise Matthews Jane Belk Moncure J. Richard Dennis J. Nelson Ann Grifalconi Pat Hutchins 10 Fraction word wall equal having the same amount or value fraction a number that names part of a whole or part of a set numerator the top number in a fraction that tells how many equal parts are described by the fraction 11 Comparing Unit Fractions Activity Using the following pizza models and spinner Students spin spinner, select the fractional piece spun and compare to their partners- which is greater, which is smaller? Then play pizza play-off game 12 13 14 15 16 TASK CARD 1 TASK CARD 2 You have cut a pizza into four pieces. You give the same amount of pizza to 2 children. How many pieces will each child get? You have cut a pizza into six pieces. You give the same amountof pizza to three children. How many pieces will each child get? TASK CARD 3 TASK CARD 4 You took four pieces of pizza on a picnic. You gave half of the pizza to your friend. How many pieces do you have left? 17 You ordered a pizza and cut it into 12 slices. You gave the same amount of pizza to six friends. How many slices did each friend get?