Educator's Guide to Eweclid Math Facts V2

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    An Educators Guide to Eweclid K-3 Math Facts

    Educator's Guide Eweclid K-3 Math Facts V2.0

    Eweclid Inc. 2013 1 15 Oct 2013

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    An Educators Guide to Eweclid K-3Math Facts

    Overview

    Please watch our Demonstration Videos at Eweclid.comfor more insight into Eweclid applications, technologyand use at home or in the classroom.

    Eweclid Math K-3 is an adaptive, personalized CommonCore Standards-based educational game designed for useat-school, at-home, and in home-schooling.

    Eweclid was designed by mobile app designers,elementary school teachers, curriculum experts, and iPadprogram administrators to help kids learn, apply, andretain math facts.

    Adaptive feedback (the Personal Tutor) providescustomized bonus lessons for each student to lock inretention and manage areas for improvement. Kids getdouble-points for completing these reviews.

    Whats Included

    Eweclid Math K-3 includes Four Courses, one for eachgrade: Kindergarten, 1st, 2nd, and 3rd Grade. Thenumber of Chapters per course varies between 24 and 40.Each chapter includes 10 puzzles on average.

    The Eweclid Personal Tutor

    Eweclid K-3 Math Facts V2.0 includes a free PersonalTutor Service for each student using the app. ThePersonal Tutor models each students individual masteryand retention of Math Facts and provides custom,personal bonus lessons for each student. These bonuslessons appear in the bottom left corner of the openingscreen upon login.

    The application will change from the bright green motifto a dark grey motif when the Wolf appears. The Wolf

    brings the bonus lessons. Students are awarded doublepoints for bonus lessons.

    Students should use their Eweclid Personal Tutor accountfor all their Eweclid apps (Math, Spelling, etc.).

    How to Use Preferences

    Preferences apply to all students using the app. If manykids will use the same iPad, as in a classroom setting, we

    recommend changing Chapter progression to OFF, andClassroom Mode to ON. Here are the details.

    Chapter Progression. For Math Facts, Eweclid requires astudent to get 4 or 5 stars in a chapter to unlock the next.However, this requirement can be eliminated by turningChapter Progression OFF in the Preferences screen.

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    Touch and Hold the Preferences icon (the Cog, bottomright) to open the screen. The tap the ON/OFF slider forChapter Progression

    Classroom Mode. The Eweclid Personal Tutor Service isfundamental to classroom mode use. Classroom Modeallows kids to login on any iPad with the Eweclid Appwithout setting up an account on that iPad.

    In this way, many kids can share many iPads in theclassroom. Simple passwords (1-chracter if you wish) aresupported so make logins easy and quick. If you buyEweclid for your school, please contact us and we will

    help you setup the logins, if you like.

    About the Puzzles

    There are eight different types of puzzles that are used toimplement the CCS. You can see these in the App underHelp->Puzzle Types.

    Help is available for every puzzle by tapping the Ibutton (top left of the review screen). For all K and 1st

    grade puzzles, instructions are read aloud. Feedback isprovided for incorrect puzzles so kids can learn fromtheir mistakes.

    Where needed, the screen acts as scratch paper kidscan write with their finger to help solve more involvedpuzzles step-by-step.

    Common Core Standard Implementation

    Eweclid Math K-3 is ideal for locking in what kids learn in

    school, improving performance in the classroom, or forhome schooling to Common Core Standards.

    Eweclid K-3 Math Facts is based on 10/18/10 version of theU.S. Common Core State Standards for Mathematics.Puzzles teach and test Counting and Cardinality,Operations and Algebraic Thinking and Numbers andOperations in Base Ten what we call Math Facts; weplan to offer Geometry and Measurement and Data,and Fractions puzzles in future products.

    Following this description you will find detailed chartsshowing how the CCS is implemented in Eweclid Coursesand Chapters. You can start with a Standard and find theCourse and Chapter(s) that implement it; or you can startwith a Eweclid Course and Chapter and find the Standardit relates to.

    How to use Eweclid in the Classroom

    and for Homework

    The best way to use Eweclid in the classroom is insupport of spelling instruction. Here are some ideasabout how to use the application in this way.

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    1) Allow students time to play chapters related to thisweeks lesson plan. This will reinforce classroominstruction in a fun way for the students.

    2) Allow students time to play bonus lessons. This iscritical for retaining skills from previous weeks.Each student should have a Eweclid Personal Tutoraccount (contact us if you need help). The EweclidPersonal Tutor will provide customized Mathlessons for each child based on their progress andretention.

    3) For Math homework, make playing Eweclid athome an option for both this weeks lessons andespecially for the bonus lessons. Tutor accounts

    make sure student learning data and game datatransfer automatically between home and school.Require students to repeat chapters until they get

    four stars for the chapter.

    Note that each time a chapter is played, the orderof the puzzles in the chapter changes, the order ofthe answers within each puzzle changes, and forsome puzzles, the incorrect answers (used asdistracters) change as well. These changes helpensure that the students dont simply memorizepuzzles instead they have to engage and thinkevery time.

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    Kindergarten CCS Standard Look-up Chart (Eweclid Chapter-to-CCS)

    EweclidChapter

    CCS Description Summary Notes

    K.CC.1 Count to 100 by ones and tens.

    K.CC.2 Count forward beginning from a given number.

    K2 K.CC.4 Compare two numbers written as numerals (1-10).

    K3 K.CC.6 Compare two numbers written as numerals (1-10).K4 K.OA.2 Represent addition and subtraction using objects, fingers, images, equations. + w/in 3

    K5 K.OA.1 Solve addition and subtraction word problems, and add and subtract within 10. + w/in 3

    K6 K.OA.2 Represent addition and subtraction using objects, fingers, images, equations. + w/in 5

    K7 K.OA.1 Represent addition and subtraction using objects, fingers, images, equations. - w/in 3

    K8 K.OA.2 Represent addition and subtraction using objects, fingers, images, equations. - w/in 3

    K9 K.CC.6 Represent addition and subtraction using objects, fingers, images, equations. fewest to most

    K10 K.CC.7 Represent addition and subtraction using objects, fingers, images, equations. least, greatest

    K11 K.CC.7 Represent addition and subtraction using objects, fingers, images, equations. order least to greatest

    K12 K.OA.1 Understand the reltaionship between numbers and quantities. - w/in 5

    K13 K.OA.2 Count to answer "how many". - w/in 5

    K14 K.OA.1 Represent addition and subtraction using objects, fingers, images, equations. +/- w/in 5

    K15 K.OA.1 For any number 1-9 find the number that makes 10. + w/in 7

    K16 K.OA.1 Decompose numbers < 10 into pairs (sets) in more than one way. - w/in 7

    K17 K.OA.1 Fluently add and subtraction within 5. +/- match w/in 7

    K18 K.OA.1 Compare groups by number of objects using . + w/in 10

    K19 K.OA.1 Solve addition and subtraction word problems, and add and subtract within 10. - w/in 10

    K20 K.OA.1 Represent addition and subtraction using objects, fingers, images, equations. +/- match w/in 10

    K21 K.OA.4 Solve addition and subtraction word problems, and add and subtract within 10.

    K22 K.CC.5 Represent addition and subtraction using objects, fingers, images, equations. same number

    K23 K.OA.3 Solve addition and subtraction word problems, and add and subtract within 10.

    K24 K.OA.5 Compare groups by number of objects using .1M8 K.NBT.1 Compose and decompose numbers from 11-99 into tens and ones.

    NA K.CC.3 Write numbers from 0-20.

    K1

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    Kindergarten CCS Implementation Chart (CCS-to-Eweclid Chapter)

    CCSArea

    CCS Short Description Eweclid Chapter

    K.CC.1 Count to 100 by ones and tens. K1

    K.CC.2 Count forward beginning from a given number. K1K.CC.3 Write numbers from 0-20. Not addressed

    K.CC.4 Understand the reltaionship between numbers and quantities. K2

    K.CC.5 Count to answer "how many". K2, K22 (same number)

    K9 (order fewest to most)

    K3

    K10 (least, greatest)

    K11 (order least to greatest)

    K5 + w/in 3

    K7 - w/in 3

    K12 - w/in 5

    K14 +/- w/in 5

    K15 + w/in 7

    K16 - w/in 7

    K17 +/- match w/in 7

    K18 + w/in 10

    K19 - w/in 10

    K20 +/- match w/in 10

    K4 + w/in 3

    K6 + w/in 5

    K8 - w/in 3

    K13 - w/in 5K.OA.3 Decompose numbers < 10 into pairs (sets) in more than one way. K23

    K.OA.4 For any number 1-9 find the number that makes 10. K21, K23

    K.OA.5 Fluently add and subtraction within 5. K24

    NBT K.NBT.1 Compose and decompose numbers from 11-99 into tens and ones. 1M8

    Compare groups by number of objects using .

    Compare two numbers written as numerals (1-10).

    Represent addition and subtraction using objects, fingers, images, equations.

    Solve addition and subtraction word problems, and add and subtract within 10.

    CC

    OA

    K.OA.1

    K.OA.2

    K.CC.6

    K.CC.7

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    1st Grade CCS Standard Look-up Chart (Eweclid Chapter-to-CCS)

    EweclidChapter

    CCS Description Summary Notes

    1M1 1.OA.1 Solve word problems using addition and subtraction within 20. +/- w/in 10

    1M2 1.NBT.2 Understand 10s and 1s in two-digit numbers.

    1M3 1.OA.6 Add and subtract within 20, fluently within 10. +/- w/in 101M4 1.OA.6 Add and subtract within 20, fluently within 10.

    1M5 1.OA.6 Add and subtract within 20, fluently within 10. + doubles

    1M6 1.OA.6 Add and subtract within 20, fluently within 10. - doubles

    1M7 1.OA.7 Understand the meaning of "=".

    1M8 1.NBT.3 Compare 2-digit numbers using .

    1M9 1.OA.6 Add and subtract within 20, fluently within 10. fluently +/- correct?

    1M10 1.OA.2 Solve word problems that call the adding three whole numbers summing to

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    1st Grade CCS Implementation Chart (CCS-to-Eweclid Chapter)

    CCSArea

    CCS Description Summary Eweclid Chapter

    1M1 +/- w/in 10, not word problems

    1M3 +/- w/in 10, not word problems

    1M13 + w/in 15

    1M22 + w/in 20

    1.OA.3 Use commutative and associative properties to add and subtract. 1M321.OA.4 Understand subtraction as an unknown-addend problem. 1M4

    1.OA.5 Relate counting to addition and subtraction (counting by 2s). Not addressed

    1M2 FL w/in 10

    1M5 + doubles

    1M6 - doubles

    1M9 FL +/- correct?

    1M10 FL +/- match

    1M11 + w/in 15

    1M14 - w/in 15

    1M15 FL - w/in 15 match

    1M17 FL +/1 w/in 15 correct?

    1M18 FL +/- w/in 15 match

    1M19 w/in 15

    1M20 + w/in 20

    1M21 FL w/in 20 4-button

    1M23 - w/in 20

    1M24 +/- w/in 20 match

    1M26 +/- w/in 20 correct?

    1M27 +/- w/in 20

    1M19

    1M281.OA.8 Determine the unknown whole number in an addition or subtraction problem. 1M16

    1.OA.8 Determine the unknown whole number in an addition or subtraction problem. 1M25

    1.NBT.1 Count to 120 from any number

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    2nd Grade CCS Standard Look-up Chart (Eweclid Chapter-to-CCS)

    EweclidChapter

    CCS Description Summary Notes

    2M1 2.OA.3 Determine odd or even for groups of objects. (up to 20)

    2M2 2.OA.3 Determine odd or even for groups of objects. (up to 20)2M3 2.NBT.3 Read and write numbers to 1000. within 100

    2M4 2.NBT.1 Understand 100s, 10s, and 1s in 3-digit numbers.

    2M5 2.OA.2 Add and subtract fluently within 20. 4-button

    2M6 2.NBT.3 Read and write numbers to 1000.

    2M7 2.OA.4 Use addition to count objects in a grid, up to 5x5. relating addition to multiplication

    2M8 2.NBT.2 Count within 1000; skip by 5s, 10s, 100s.

    2M9 2.NBT.4 Compare 2-digit and 3-digit numbers using .

    2.NBT.4 Compare 2-digit and 3-digit numbers using .

    2.NBT.8 Mentally add/subtract 10 or 100 to a number. add

    2M11 2.NBT.8 Mentally add/subtract 10 or 100 to a number. subtract

    2M12 2.NBT.7 Add and subtract within 1000, carrying or borrowing. add 2-digit #s within 1002M13 2.NBT.7 Add and subtract within 1000, carrying or borrowing. subtract 2-digit #s within 100

    2M14 2.NBT.5 Fluently add and subtract within 100. w/in 100 8-button

    2M15 2.NBT.6 Add up to four 2-digit numbers. 3 #s

    2M16 2.NBT.7 Add and subtract within 1000, carrying or borrowing. add 2-digit #s within 200

    2M17 2.NBT.8 Mentally add/subtract 10 or 100 to a number. addition compare results of 2 calcs

    2M18 2.NBT.8 Mentally add/subtract 10 or 100 to a number. subtraction compare results of 2 calcs

    2M19 2.NBT.6 Add up to four 2-digit numbers. 4 numbers

    2M20 2.NBT.7 Add and subtract within 1000, carrying or borrowing. subtract 2-digits within 1000

    2M21 2.NBT.5 Fluently add and subtract within 100. three calcs order by difference

    2M22 2.NBT.7 Add and subtract within 1000, carrying or borrowing. addition 3-digit within 1000

    2M23 2.NBT.7 Add and subtract within 1000, carrying or borrowing. subtraction 3-digit double-borrow2M24 2.NBT.7 Add and subtract within 1000, carrying or borrowing. add/subtract 6 prob w/in 20 ordered

    NA 2.OA.1 Use addition and subtraction within 100 to solve 1-step and 2-step word problems.

    NA 2.NBT.9 Explain why addition and subtraction strategies work.

    2M10

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    2nd Grade CCS Implementation Chart (CCS-to-Eweclid Chapter)

    CCSArea

    CCS Description Summary Eweclid Chapter

    2.OA.1 Use addition and subtraction within 100 to solve 1-step and 2-step word problems. Not addressed

    2.OA.2 Add and subtract fluently within 20. 2M5 4-button

    2M1

    2M2

    2.OA.4 Use addition to count objects in a grid, up to 5x5. 2M7 (relating + to x)

    2.NBT.1 Understand 100s, 10s, and 1s in 3-digit numbers. 2M4

    2.NBT.2 Count within 1000; skip by 5s, 10s, 100s. 2M8

    2M3

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    3rd Grade CCS Standard Look-up Chart (Eweclid Chapter-to-CCS)

    EweclidChapter

    CCS Description Summary Notes

    3M1 3.OA.7 Fluently multiply and divide within 100. [0-3]x[0-3]

    3M2 3.OA.7 Fluently multiply and divide within 100. [0-5]x[0-7]3M3 3.OA.7 Fluently multiply and divide within 100. [0-2]x[0-12]

    3M4 3.OA.7 Fluently multiply and divide within 100. [0-5]x[6-10]

    3M5 3.OA.7 Fluently multiply and divide within 100. [0-5]x[0-12] match

    3M6 3.NBT.2 Fluently add and subtract within 1000 borrow

    3M7 3.OA.7 Fluently multiply and divide within 100. [6-9]x[3-9]

    3M8 3.OA.7 Fluently multiply and divide within 100. [3-9]x[3-9] 6-button

    3M9 3.OA.7 Fluently multiply and divide within 100. [2-10]x[10-11]

    3M10 3.OA.7 Fluently multiply and divide within 100. [3-8]x[6-8]

    3M11 3.OA.7 Fluently multiply and divide within 100. [2-10]x[2-5] match

    3M12 3.OA.7 Fluently multiply and divide within 100. D/[1-3]=[1-5]

    3M13 3.OA.7 Fluently multiply and divide within 100. D/[1-4]=[1-10]3M14 3.OA.7 Fluently multiply and divide within 100. D/[2-5]=[1-8]

    3M15 3.OA.7 Fluently multiply and divide within 100. D/[1,4-10]=[8-12]

    3M16 3.OA.7 Fluently multiply and divide within 100. [3-8]x[4-9] 6-button

    3M17 3.OA.7 Fluently multiply and divide within 100. [1-5]x[2-10] ordered

    3M18 3.OA.5 Apply commutative, associative and distributive properties of multiplication and division.

    3M19 3.OA.7 Fluently multiply and divide within 100. D/[11-12]=[1-10]

    3M20 3.OA.7 Fluently multiply and divide within 100. D/[6-9]=[4-9]

    3M21 3.OA.7 Fluently multiply and divide within 100. [1-12]x[1-12] match

    3M22 3.NBT.2 Fluently add and subtract within 1000 double-borrow

    3M23 3.OA.7 Fluently multiply and divide within 100. [11-12]x[1-12]

    3.OA.4 Determine the unknown whole number in multiplication and division problems. [1-12]x[1-12] missing multiplier

    3.OA.7 Fluently multiply and divide within 100. [1-12]x[1-12] missing multiplier

    3M25 3.OA.7 Fluently multiply and divide within 100. [6-12]x[6-12] 6-button

    3M26 3.OA.7 Fluently multiply and divide within 100. D/[6-12]=[6-12]

    3M27 3.OA.7 Fluently multiply and divide within 100. D/[2-10]=[2-6]

    3M28 3.OA.7 Fluently multiply and divide within 100. [3-9]x[6-12] ordered

    3M29 3.NBT.3 Multiply 1-9 by 10-90 (tens). matching

    3M30 3.OA.7 Fluently multiply and divide within 100. D/[9-12]=[2-12]

    3M31 3.OA.5 Apply commutative, associative and distributive properties of multiplication and division.

    3M24

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    3rd Grade CCS Standard Look-up Chart (Eweclid Chapter-to-CCS)

    EweclidChapter

    CCS Description Summary Notes

    3M32 3.OA.4 Determine the unknown whole number in multiplication and division problems. D/[1-12]=[1-12] missing multiplier

    3M33 3.OA.7 Fluently multiply and divide within 100. D[2-11]=[4-12] 3M34 3.OA.4 Determine the unknown whole number in multiplication and division problems. D/[1-12]=[1-12] missing multiplier

    3M35 3.NBT.3 Multiply 1-9 by 10-90 (tens). ordered

    3M36 3.OA.7 Fluently multiply and divide within 100. D/[6-11]=[6-12]

    3M37 3.OA.7 Fluently multiply and divide within 100. D/[2-12]=[3-12] matching

    3M38 3.OA.7 Fluently multiply and divide within 100. D/[2-12]=[3-12] ordered

    3M39 3.OA.4 Determine the unknown whole number in multiplication and division problems. x/ [2-12][2-12] missing multiplier

    3M40 3.OA.7 Fluently multiply and divide within 100. x/ [2-12][2-12] ordered

    NA 3.OA.1 Interpret products of whole numbers.

    NA 3.OA.2 Interpret whole-number quotients.

    NA 3.OA.3 Using multiplication and division within 100 to solve word problems.

    NA 3.OA.6 Understand division as an unknown factor problem. See 3.OA.4 for practiceNA 3.OA.8 Solve two-step word problems using operations (+, - , x, /).

    NA 3.OA.9 Identify and explain arithmetic patterns.

    NA 3.NBT.1 Use place value to round whole numbers to the nearest 10 or 100.

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    3rd Grade CCS Implementation Chart (CCS-to-Eweclid Chapter)

    CCSArea

    CCS Description Summary Eweclid Chapter

    3.OA.1 Interpret products of whole numbers. Not addressed

    3.OA.2 Interpret whole-number quotients. Not addressed

    3.OA.3 Using multiplication and division within 100 to solve word problems. Not addressed

    3M24 [1-12]x[1-12] missing multiplier3M32 D/[1-12]=[1-12] missing multiplier

    3M34 D/[1-12]=[1-12] missing multiplier

    3M39 x/ [2-12][2-12] missing multiplier

    3M18

    3M31

    3.OA.6 Understand division as an unknown factor problem. See 3.OA.4 for practice

    3M1 [0-3]x[0-3]

    3M2 [0-5]x[0-7]

    3M3 [0-2]x[0-12]

    3M4 [0-5]x[6-10]

    3M5 [0-5]x[0-12] match3M7 [6-9]x[3-9]

    3M8 [3-9]x[3-9] 6-button

    3M9 [2-10]x[10-11]

    3M10[3-8]x[6-8]

    3M11 [2-10]x[2-5] match

    3M12 D/[1-3]=[1-5]

    3M13 D/[1-4]=[1-10]

    3M14 D/[2-5]=[1-8]

    3M15 D/[1,4-10]=[8-12]

    3M16 [3-8]x[4-9] 6-button

    3M17 [1-5]x[2-10] ordered3M19 D/[11-12]=[1-10]

    3M20 D/[6-9]=[4-9]

    3M21 [1-12]x[1-12] match

    3M23 [11-12]x[1-12]

    3M24 [1-12]x[1-12] missing multiplier

    3M25 [6-12]x[6-12] 6-button

    3M26 D/[6-12]=[6-12]

    3M27 D/[2-10]=[2-6]

    OA

    3.OA.4

    3.OA.5

    3.OA.7

    Determine the unknown whole number in multiplication and division problems.

    Apply commutative, associative and distributive properties of multiplication and division.

    Fluently multiply and divide within 100.

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    3rd Grade CCS Implementation Chart (CCS-to-Eweclid Chapter)

    3M28 [3-9]x[6-12] ordered

    3M30 D/[9-12]=[2-12]

    3M33 D[2-11]=[4-12]

    3M36 D/[6-11]=[6-12]

    3M37 D/[2-12]=[3-12] matching

    3M38 D/[2-12]=[3-12] ordered

    3M40 x/ [2-12][2-12] ordered

    3.OA.8 Solve two-step word problems using operations (+, -, x, /). Not addressed3.OA.9 Identify and explain arithmetic patterns. Not addressed

    3.NBT.1 Use place value to round whole numbers to the nearest 10 or 100. Not addressed

    3M6 borrow

    3M22 double-borrow

    3M29 matching

    3M35 ordered

    OA

    3.OA.7 Fluently multiply and divide within 100 (continued)

    NBT3.NBT.2

    3.NBT.3

    Fluently add and subtract within 1000

    Multiply 1-9 by 10-90 (tens).

    Educator's Guide Eweclid K-3 Math Facts V2.0

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