COMMON CORE STATE STANDARDS MATHEMATICS TRAINING for PARENTS OF - - PDF document

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COMMON CORE STATE STANDARDS MATHEMATICS TRAINING for PARENTS OF - - PDF document

2/7/14 COMMON CORE STATE STANDARDS MATHEMATICS TRAINING for PARENTS OF K-2nd GRADE 2013-14 Jose is 12 years old and his grandfather is 66 years old. How many years ago was his grandfather ten times as old as Jose? Explain in


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COMMON CORE STATE STANDARDS MATHEMATICS TRAINING for PARENTS OF K-2nd GRADE 2013-14

Jose is 12 years old and his grandfather is 66 years old. How many years ago was his grandfather ten times as old as Jose? Explain in writing the strategies and tools you used to determine your answer. ¡

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Common Common Core Core Sta tandards

Adopte ted by 45 sta tate tes De Depth th vs. Breadth th Assessed Assessed in in 2014- 2014-2015 2015 (Nati tionwide) Less Less multi tiple ch choice,

  • ice,

mo more writte tten respon responses ses

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http://

www.smarterbalanced.org

Key Featu

tures of Smarte ter Balanced

  • Measures stu

tudent t achievement t and growth th in En English language arts ts/lite teracy and math themati tics in grades 3-8 and high school.

  • Includes accommodati

tions for stu tudents ts with th disabiliti ties and En English language learners so th that t all stu tudents ts can demonstr trate te what t th they know.

  • Administe

tered online with th questi tions and performance ta tasks th that t measure criti tical th thinking and problem solving skills.

  • Ex

Expecta tati tions of stu tudent t performance linked to to inte ternati tional benchmarks.

  • Teach

Teach les less, learn , learn m more

  • re
  • Inte

ternati tional comparisons

Focu Focus s

  • Pr

Progr gressio ession n across ss gr grades es

  • Foundati

tional skills for th the learning of alg algebra ebra

Coherence Coherence

  • Conceptu

tual understa tanding

  • Pr

Proced edur ural l kno nowled wledge ge and nd fluenc fluency

  • Pr

Problem lem so solving lving

Rig Rigor

  • r
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  • 1. Make s
  • 1. Make sen

ense of e of problem problems an and pers d persev evere in ere in s solv

  • lvin

ing th them.

  • 2. Reason abstr

tractl tly and quanti tita tati tively.

  • 3. Constr

truct t viable arguments ts and criti tique th the reasoning of oth thers.

  • 4. Model with

th math themati tics. 5.

  • 5. Use appropriate

te to tools str trate tegically. 6.

  • 6. Atte

ttend to to precision. 7.

  • 7. Look for and make use of str

tructu ture. 8.

  • 8. Look for and express regularity

ty in repeate ted reason reasonin ing. .

7

  • Conceptu

tual Understa tanding- comprehension of concepts ts, operati tions, and relati tions--supports ts rete tenti tion an and d prevents ts com common

  • n errors

errors

  • Pr

Proced edur ural l Fluenc Fluency-carrying out t procedu procedures res flexibly, accurate tely, efficientl tly, an , and d appropriate tely

  • Str

trate tegic Compete tence-ability ty to to formulate te, represent, an , and d so solve lve math themati tical problems

  • Adapti

tive Reasoning-capacity ty for log logical ical th thought, t, reflecti tion, explanati tion, an and d justi tificati tion

  • Producti

tive Di Dispositi tion-inclinati tion to to see math themati tics as sensib sensible, le, useful useful, an , and d worth thwhile, coupled with th a belief belief in in dilig diligen ence ce an and on d one’s e’s ow

  • wn ef

efficacy icacy. .

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EL ELA

  • Engage effectively in a range of collaborative discussions

(one-on-one, in groups, and teacher-led) with diverse partners, building on others’ ideas and expressing their own clearly.

  • Present information, findings, and supporting evidence

clearly and concisely. Sta tandards for Math themati tical Practi tice

} Sta

tandard 3: Construct viable arguments and critique the reasoning of others (Students justify their conclusions, communicate them to others, respond to arguments of

  • thers, and ask useful questions to clarify or improve the

arguments).

} Sta

tandard 6: Attend to precision (communicate precisely, use clear definitions in discussion with others, give carefully formulated explanations to each other, examine claims).

Math th Di Discourse

Talk Mov Talk Moves es

Rev Revoice

  • ice
  • So, what

t you are saying is...

  • I th

think I hear you saying... Repeat t

  • Can you repeat

t what t ____ ____ said in your own words?

  • Can you repeat

t what t ___ ___ and ___ ___ said in your own wo words? s? Reas Reason

  • n
  • Do

Do you agree or disagree with th what t ____ ____ said? Why? Ad Add on

  • n
  • Who can add on to

to what t ___ ___ said?

  • Who can add more to

to th this _____? _____? Wait t

  • Take your ti

time to to th

  • think. We'l

'll wait. t.

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} Counting and Cardinality } Operations & Algebraic Thinking } Number & Operations in Base Ten } Measurement & Data } Geometry } Operations & Algebraic Thinking } Number & Operations in Base Ten } Measurement & Data } Geometry

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} 3. De

Decompose numbers less th than or equal to to 10 into to pairs in more th than one way, e.g., by using

  • bjects

ts or drawings, and record each decompositi tion by a drawing or equati tion (e.g., 5 = = 2 2 + + 3 3 and and 5 5 = = 4 4 + + 1). 1).

} 4. For any number from 1 to

to 9, find th the number th that t makes 10 when added to to th the given number, e.g., by using objects ts or drawings, and record th the answer with th a drawing or equati tion.

} 35 + 7 } 57 + 23

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} Apply properti

ties of operati tions as str trate tegies to to add and subtr tract.

  • t. Ex

Examples: if 8 + 3 = 11 is known, th then 3 + 8 = 11 is also known. (Commuta tati tive property ty of additi tion.) To add 2 + 6 + 4, th the second tw two numbers can be added to to make a te ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associati tive property ty of additi tion.)

} 37 + 18 + 13 + 12 } 55 + 99 + 1

} 6. Add and subtr

tract t with thin 20, demonstr trati ting fluency for additi tion and subtr tracti tion with thin 10. Use str trate tegies such as counti ting on; making te ten (e.g (e.g., 8 + ., 8 + 6 = 6 = 8 + 8 + 2 + 2 + 4 = 4 = 10 + 10 + 4 = 4 = 14); 14); decomposing a number leading to to a te ten (e.g., 13 – – 4 = 13 – – 3 – – 1 = 10 – – 1 = 9); using th the relati tionship betw tween additi tion and subtr tracti tion (e.g., knowing th that t 8 + 4 = 12, one knows 12 – – 8 = 4); and creati ting equivalent t but t easier or known sums (e.g., adding 6 + 7 by creati ting th the known equivalent t 6 + 6 + 6 + 6 + 1 = 1 = 12 + 12 + 1 = 1 = 13). 13).

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} 5. Given a tw

two-digit t number, menta tally find 10 more or 10 less th than th the number, with thout t having to to count; t; explain th the reasoning used.

} 39 –

– 10

} 75 -

75 - 30 30

} 68 -

68 - 19 19

} 6. Subtr

tract t multi tiples of 10 in th the range 10-90 from multi tiples of 10 in th the range 10-90 (positi tive or zero differences), using concrete te models or drawings and str trate tegies based on place value, properti ties of

  • perati

tions, and/or th the relati tionship betw tween additi tion and subtr tracti tion; relate te th the str trate tegy to to a writte tten meth thod and explain th the reason reasonin ing u used. sed.

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} Mentally add 10 or 100 to a given

Mentally add 10 or 100 to a given number 100–900, and mentally number 100–900, and mentally

} Subtract 10 or 100 from a given

Subtract 10 or 100 from a given number 100–900. number 100–900.

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5 + 8 + 2

7 + 6 + 3

12, 22, 32, ___, ___, ___ 237, 337, ___, ___, ___

8 tens and 16 ones ______ 9 tens and 5 ones. 879: Take the digit in the tens place and add it to the digit in the ones place and what is the result? (Write an equation.) 879: Double the digit in the hundreds place and add it to the sum of the digit in the tens place and the digit in the ones place. What is the result? (Write an equation.)

28 + 32 17 + 29 + 23 18 + 17 + 3 17 + 17 + 17 + 17 + 17 87 – 22 56 - 18

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2/7/14 ¡ 12 ¡ SMARTER BALANCED RELEASED TEST QUESTIONS

Ø New Common Core State Standards for

Mathematics www.corestandards.org

Ø National PTA Resources www.pta.org (Parent

Guides to Student Success)

Ø Kahn Academy: www.khanacademy.org Ø Smarter Balanced: www.smarterbalanced.org Ø LearnZillion: learnzillion.com

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} QUESTIONS?