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Walter Hill CCSSM – K-2 Developing Number Sense Strategies for teaching Addition/Subtraction And MORE!

CCSSM – K-2 Developing Number Sense Strategies for teaching Addition/Subtraction And MORE!

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Greeneville City Schools

Walter HillCCSSM K-2Developing Number SenseStrategies for teaching Addition/SubtractionAnd MORE!

1Common Core Mathematical PracticesMake sense of problems and persevere in solving them.Reason abstractly and quantitatively.Construct viable arguments and critique the reasoning of othersModel with mathematics.Use appropriate tools strategically.Attend to precision.Look for and make use of structure.Look for and express regularity in repeated reasoning.http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf Unlock the PuzzleKindergarten take the green puzzle.First Grade take the yellow puzzle.Second Grade take the red puzzle.Put the pieces together and discover the critical areas for your grade level.Now, take a minute to report your critical areas to the group. Fluency Lens At each grade level in the standards, one or two fluencies are expected: Table 1: Grade-Level Fluency Grade Required Fluency K Add/subtract within 5 1 Add/subtract within 10 2 Add/subtract within 20 Add/subtract within 100 (pencil and paper) 3 Multiply/divide within 100 Add/subtract within 1,000 4 Add/subtract within 1,000,000 5 Multidigit multiplication PARCC

Number Sense

Cube Trainshttp://illuminations.nctm.org/ActivityDetail.aspx?ID=74 Using a 5 x 6 grid show all of the combinations for a sum of 5. Use 2 colors of Unifix cubes. This activity can become a quick formative assessment. Just give the student the grid and 2 different colored crayons. Ask them to color and record all the different combinations for 5. Are we seeing a pattern? How will I know how many combinations for a certain number?6TaskIm thinking of 2 different numbers. When you add them together they make 8. When I asked some people to guess my secret numbers, four people came up with four different answers. Do you think that it is possible for 4 different answers to be correct?Snap It!

Number Sense Number BraceletsPipe cleaners6 beadsMasking tape 1 two-inch pieceHow many number bonds can you make?2 + 4 Flip the bracelet 4 + 2 (Property?)How many other bonds can you find?Assessments Use the number bracelets as an assessment. Example Take the 6 bracelet and give me all of the addition and/or subtraction problems possible.9Six-Dinner Sid

http://www.oswego.org/ocsd-web/games/SplatSquares/splatre100.html ActivitiesPrimary How many meals did Sid eat in one school week? (5 days) Use ten-frames to count.(Start with cubes)Second Grade Ask them to figure out how many meals in 10 days. Use ten-frames followed by base ten blocks.10 frames are in My Little Sister Ate One Hare11Common CoreK Decompose numbers less than or equal to 10 into pairs in more than one way. 5 + 1, 4 + 2, 3 + 31st Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.1st Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. 6 = 6, 2 + 4 = 4 + 2, 1 + 5 = 4 + 22nd Fluency Know all sums of 2 one-digit numbers.Ten - FrameFlash CardsAdding with 10-FramesWeb Connections http://illuminations.nctm.org/ActivityDetail.aspx?ID=75 Show center. Do examples.http://www.k-5mathteachingresources.com/math-resources.html Ten-Frame web siteMake 10-frame flash cards. Students learn to subitize. These can be flashed one at a time, or older students can do 2 ten frames and add. Print the multiple ten frame page and do the warm up problems.13Tasks with 10 FramesMrs. Lasater is counting lunch choices. 11 children want pizza, 9 students brought their lunch from home, and the rest will eat hamburgers. If she has 25 students, how many will eat hamburgers?More for 10Ways to make 10 Assessment or activityRacing Bears - Game

Turtle Splash!

Use 10 Frame16Common CoreK Count to answer how many? Use as many as 20 things arranged in a line, rectangular array, or a circle.K For any number 1 9, find the number that makes ten when added to the given number. 1st Add and subtract within 20, demonstrating fluency for addition and subtraction within ten.2nd Use two ten frames to memorize all sums of two one-digit numbers.Common CoreK- Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.1st Use addition and subtraction within 20 to solve word problemsSolve word problems that call for addition of 3 whole numbers whose sum is less than 20.2nd Determine whether a group of objects (up to 20) has an odd or even number or even number of members.Compensation for AdditionHow is compensation for addition similar to and different from compensation for subtraction?K-1st 11 + 19 = ? Anna says that we could take 1 away from both numbers before we add and get the same answer. Then she rethinks and decides that we need to take away 1 from 11 and add 1 to 19 to get the same sum.Which is correct and why?2nd 199 + 23Mathematical Reasoning1st Grade Students debate how to use the strategy of compensation to compute 11 9. Sam says they will get the same answer if they add 1 to 9 and take away 1 from 11. Molly says that you should add 1 to both numbers. Who do you think is correct?2nd grade use 121-89.Use a ruler to show 11 9.20

1.OA.11.OA.31.OA.41.OA.61.OA.71.OA.81.NBT.62.OA.12.OA.22.NBT.52.NBT.72.NBT.82.NBT.92.MD.6http://akidsheart.com/animals/bear/cntpanda.html Kindergarten Count the Pandas!!Subtraction3.OA.83.NBT.2

Table 1 in CCSSM Addition and Subtraction for 1st 3rd.

Read the book3rd gr CCSS23

See an additional task on the hand-out.

Skip Countinghttp://www.havefunteaching.com/songs-for-kids/math Jessica Shumway - http://www.youtube.com/watch?v=-bKtBXO2gNA Counting Circles

Use splat. Use the TI-15 to skip count. Read the weaving story and weave a 2 or 3 pattern blanket.27Literature Connection

http://resources.oswego.org/games/SplatSquares/splatsq100.html SplatCounting by 5s on clocksHundreds Charthttp://nlvm.usu.edu/en/nav/frames_asid_337_g_1_t_1.html?from=topic_t_1.html Splat http://www.oswego.org/ocsd-web/games/SplatSquares/splatsq100.html Ls on the 100s Chart Place the L. Write the problem.Make a L on 65,75,85, 86, 87,88Write the problem.Make new problems and share.100s chart Game +10, -10, +1, -1

Place the L made of 6 squares on the 65, 75, 85, 86, 87,88The problem is 65 + 23 = 88 or 65 + 10 + 10 + 1 + 1 +129Splat to Make Ls

Build Bean Stickshttp://illuminations.nctm.org/lessons/count20/Count20-TS-BeanSticks.pdf

Base 10 Blocks Additionhttp://nlvm.usu.edu/en/nav/frames_asid_154_g_1_t_1.html?from=category_g_1_t_1.html Cows http://illuminations.nctm.org/ActivityDetail.aspx?ID=218 K Make your initial.1st 2nd Make your name with base 10 blocks.Race to 100

TaskThe king and queen and their 17 friends want to journey to the festival. They plan to ride horses, which can carry 2 people, and elephants, which can carry 5 people. How many animals shall they take? Is there more than one answer? If so, what could help them decide?

If the little sister had continued to eat items in the same pattern, how many more things would she have to eat before she reaches 100? Use drawings and words to support your answer.Use base 10 blocks35

Find the 10s. How could we use the addition chart with our task?Base 10 Blocks Subtractionhttp://nlvm.usu.edu/en/nav/frames_asid_155_g_1_t_1.html?from=category_g_1_t_1.html Use base 10 blocks to subtract.Elevator MagicShark SwimathonTurtle SplashCentersTrading Inches, Trading FeetMake a MeterTen-Frames (Visited earlier)Race to 8:00Money RulesPicture PieReady-made Place value and Pattern BlocksAssessmentRich Tasks with constructed responseLook at the workGamesNCTM Assessment BookArtPost-it NotesDifferentiationAssessing and Advancing QuestionsMarion Smalls Open Ended Questions and Parallel TasksRich Tasks

ResourcesMC2 guest on portaportal.comhttp://guest.portaportal.com/mc2 Model Lessons in your classroomE-mail me with questions I will be trained on the constructed response grading.NCTM Teaching Children MathematicsNavigations by NCTMProfessional BooksTaskMy friend has cows and chickens. How many of each does she have if there are 10 legs altogether? Is there another answer?Problem Solving

Salute

Pattern Block Game

Cats and Leaves

Make and Take

Go to www.portaportal.com mc2Math Pickle is under Teacher Resources.