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Kindergarten Math
www.classk12.com1
Illustration: Kindergarten Math
www.classk12.com2
Topic Common?Core?Requirements
K.CC
Counting?and?Cardinality
? Know?number?names?and?the?count?sequence.
? Count?to?tell?the?number?of?objects.
? Compare?numbers.
K.OA
Operations??and Algebraic?Thinking
? Understand?addition?as?putting?together?and?adding?to,?and?understand?subtraction?as?taking?apart?
and?taking?from.
K.NBT
Number?and?Operations?in?Base Ten
? Work?with?numbers??11©\19?to?gain?foundations?for?place?value.
K.MD
Measurement?and?Data
? Describe?and?compare?measurable?attributes.
? Classify?objects?and?count?the?number?of?objects?in?categories.
K.G
Geometry
? Identify?and?describe?shapes.
? Analyze,?compare,?create,?and?compose?shapes.
Topic Common?Core?Requirements
K.CC
K.CC.1
Counting?and?Cardinality
? Know?the?number?names?and?the?count?sequence.
Illustration: Counting (CC)
www.classk12.com3
1. Count?to?100?by?ones?and?by?tens.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.CC
K.CC.2
K.CC.3
Counting?and?Cardinality
? Know?the?number?names?and?the?count?sequence.
Illustration: Counting (CC)
www.classk12.com4
1. Count?forward?beginning?from?a?given?
number?within?the?known?sequence?(instead?
of?having?to?begin?at?1).
2. Write?numbers?from?0?to?20.?Represent?a?
number?of?objects?with?a?written?numeral?0©\
20?(with?0?representing?a?count?of?no?
objects).
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.CC
K.CC.4a
K.CC.4b
K.CC.4c
Counting?and?Cardinality
? Count to?tell?the?number?of?objects.
Illustration: Counting (CC)
www.classk12.com5
1. Understand?the?relationship?between?
numbers?and?quantities;?connect?counting?to?
cardinality.
a)??When?counting?objects,?say?the?number?
names?in?the?standard?order,?pairing?each?
object?with?one?and?only?one?number?name?
and?each?number?name?with?one?and?only?
one?object.
b)??Understand?that?the?last?number?name?
said?tells?the?number?of?objects?counted.?The?
number?of?objects?is?the?same?regardless?of?
their?arrangement?or?the?order?in?which?they?
were?counted.
c)??Understand?that?each?successive?number?
name?refers?to?a?quantity?that?is?one?larger.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.CC
K.CC.5
Counting?and?Cardinality
? Count to?tell?the?number?of?objects.
Illustration: Counting (CC)
www.classk12.com6
1. Count?to?answer?¡°how?many?¡±?questions?
about?as?many?as?20?things?arranged?in?a?
line,?a?rectangular?array,?or?a?circle,?or?as?
many?as?10?things?in?a?scattered?
configuration;?given?a?number?from?1¨C20,?
count?out?that?many?objects.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.CC
K.CC.6
Counting?and?Cardinality
? Compare?Numbers.
Illustration: Counting (CC)
www.classk12.com7
1. Identify?whether?the?number?of?objects?in?
one?group?is?greater?than,?less?than,?or?equal?
to?the?number?of?objects?in?another?group,?
e.g.,?by?using?matching?and?counting?
strategies.1
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.CC
K.CC.7
Counting?and?Cardinality
? Compare?Numbers.
Illustration: Counting (CC)
www.classk12.com8
1. Compare?two?numbers?between?1?and?10?
presented?as?written?numerals.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.OA
K.OA.1
K.OA.2
Operations?and?Algebraic Thinking
? Understand?addition?as?putting?together?and?adding?to,?and?understand?subtraction?as?taking?apart?
and?taking?from.
Illustration: Subtraction(OA)
www.classk12.com9
1. Represent?addition?and?subtraction?with?
objects,?fingers,?mental?images,?drawings2,?
sounds?(e.g.,?claps),?acting?out?situations,?
verbal?explanations,?expressions,?or?
equations.
2. Solve?addition?and?subtraction?word?
problems,?and?add?and?subtract?within?10,?
e.g.,?by?using?objects?or?drawings?to?
represent?the?problem.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.OA
K.OA.3
Operations?and?Algebraic Thinking
? Understand?addition?as?putting?together?and?adding?to,?and?understand?subtraction?as?taking?apart?
and?taking?from.
Illustration: Addition(OA)
www.classk12.com10
1. Decompose?numbers?less?than?or?equal?to?10?
into?pairs?in?more?than?one?way,?e.g.,?by?
using?objects?or?drawings,?and?record?each?
decomposition?by?a?drawing?or?equation?
(e.g.,?5?=?2?+?3?and?5?=?4?+?1).
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.OA
K.OA.4
K.OA.5
Operations?and?Algebraic Thinking
? Understand?addition?as?putting?together?and?adding?to,?and?understand?subtraction?as?taking?apart?
and?taking?from.
Illustration: Addition(OA)
www.classk12.com11
1. For?any?number?from?1?to?9,?find?the?number?
that?makes?10?when?added?to?the?given?
number,?e.g.,?by?using?objects?or?drawings,?
and?record?the?answer?with?a?drawing?or?
equation.
2. Fluently?add?and?subtract?within?5.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.NBT
K.NBT.1
Number and?Operations?in?Base Ten
? Work?with?numbers?11¨C19?to?gain?foundations?for?place?value.
Illustration: Addition (NBT)
www.classk12.com12
1. Compose?and?decompose?numbers?from?11?
to?19?into?ten?ones?and?some?further?ones,?
e.g.,?by?using?objects?or?drawings,?and?record?
each?composition?or?decomposition?by?a?
drawing?or?equation?(e.g.,?18?=?10?+?8);?
understand?that?these?numbers?are?
composed?of?ten?ones?and?one,?two,?three,?
four,?five,?six,?seven,?eight,?or?nine?ones.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.MD
K.MD.1
K.MD.2
Measurement and?Data
? Describe?and?compare?measurable attributes?.
Illustration: Measurement and Data (MD)
www.classk12.com13
1. Describe?measurable?attributes?of?objects,?
such?as?length?or?weight.?Describe?several?
measurable?attributes?of?a?single?object.
2. Directly?compare?two?objects?with?a?
measurable?attribute?in?common,?to?see?
which?object?has?¡°more?of¡±/¡°less?of¡±?the?
attribute,?and?describe?the?difference.?For?
example,?directly?compare?the?heights?of?
two?children?and?describe?one?child?as?
taller/shorter.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.MD
K.MD.3
Measurement and?Data
? Classify objects?and?count?the?number?of?objects?in?each?category.
Illustration: Measurement and Data (MD)
www.classk12.com14
1. Classify?objects?into?given?categories;?count?
the?numbers?of?objects?in?each?category?and?
sort?the?categories?by?count.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.G
K.G.1
K.G.2
K.G.3
Geometry
? Identify?and?describe?shapes?(squares,?circles,?triangles,?rectangles,?hexagons,?cubes,?cones,?cylinders,?
and?spheres).
Illustration: Geometry (G)
www.classk12.com15
1. Describe?objects?in?the?environment?using?
names?of?shapes,?and?describe?the?relative?
positions?of?these?objects?using?terms?such?
as?above,?below,?beside,?in?front?of,?behind,?
and?next?to.
2. Correctly?name?shapes?regardless?of?their?
orientations?or?overall?size.
3. Identify?shapes?as?two©\dimensional?(lying?in?
a?plane,?¡°flat¡±)?or?three©\dimensional?
(¡°solid¡±).
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.G
K.G.4
Geometry
? Analyze,?compare,?create,?and?compose?shapes.
Illustration: Geometry (G)
www.classk12.com16
1. Analyze?and?compare?two©\ and?three©\
dimensional?shapes,?in?different?sizes?and?
orientations,?using?informal?language?to?
describe?their?similarities,?differences,?parts?
(e.g.,?number?of?sides?and?
vertices/¡°corners¡±)?and?other?attributes?
(e.g.,?having?sides?of?equal?length).
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.G
K.G.5
Geometry
? Analyze,?compare,?create,?and?compose?shapes.
Illustration: Geometry (G)
www.classk12.com17
1. Model?shapes?in?the?world?by?building?
shapes?from?components?(e.g.,?sticks?and?
clay?balls)?and?drawing?shapes.
* Illustrative Question from ClassK12 Kindergarten
Topic Common?Core?Requirements
K.G
K.G.6
Geometry
? Analyze,?compare,?create,?and?compose?shapes.
Illustration: Geometry (G)
www.classk12.com18
1. Compose?simple?shapes?to?form?larger?
shapes.?For?example,?¡°Can?you?join?these?
two?triangles?with?full?sides?touching?to?make?
a?rectangle?¡±
* Illustrative Question from ClassK12 Kindergarten
Kindergarten?Math
Platform Link
ClassK12?
(WEB,?Android,?
iPad,?Chrome)
https://www.classk12.com/practice/kg©\math/1
iPad/?iPhone?
[FULL]
https://itunes.apple.com/us/app/kindergarten©\math©\first©\
step/id908671032?mt=8&ign©\mpt=uo%3D4
iPad/?iPhone?
[Lite]
https://itunes.apple.com/us/app/kindergarten©\math©\common©\
core/id917196545?mt=8
Grade?1?Math
Platform Link
ClassK12?(WEB,?
Android,?iPad,?
Chrome)
https://www.classk12.com/practice/grade©\1©\math/2
iPad/?iPhone?
[FULL]
https://itunes.apple.com/us/app/grade©\1©\math©\common©\core©\
state/id982511309?ls=1&mt=8
iPad/?iPhone?[Lite]
https://itunes.apple.com/us/app/grade©\1©\math©\first©\step©\
zoo/id717153285?mt=8
Grade?2?Math
Platform Link
ClassK12?(WEB,?
Android,?iPad,?
Chrome)
https://www.classk12.com/practice/grade©\2©\math/3
iPad/?iPhone?[FULL]
https://itunes.apple.com/us/app/2nd©\grade©\math©\common©\
core/id814893120?mt=8&ign©\mpt=uo%3D4
iPad/?iPhone?[Lite]
https://itunes.apple.com/us/app/2nd©\grade©\math©\common©\
core/id768604048?mt=8
Grade?3?Math
Platform Link
ClassK12?(WEB,?
Android,?iPad,?Chrome)
https://www.classk12.com/practice/grade©\3©\math/4
iPad/?iPhone?[FULL]
https://itunes.apple.com/us/app/3rd©\grade©\math©\
common©\core/id847400191?mt=8
iPad/?iPhone?[Lite]
https://itunes.apple.com/us/app/3rd©\grade©\math©\
common©\core/id834843474?mt=8
Grade?4?Math
Platform Link
ClassK12?(WEB,?
Android,?iPad,?
Chrome)
https://www.classk12.com/practice/grade©\4©\math/5
iPad/?iPhone?[FULL]
https://itunes.apple.com/us/app/4th©\grade©\math©\common©\
core/id955124803?mt=8
iPad/?iPhone?[Lite]
https://itunes.apple.com/us/app/4th©\grade©\math©\common©\
core/id967955602?mt=8
Grade?5?Math
Platform Link
ClassK12?(WEB,?
Android,?iPad,?
Chrome)
https://www.classk12.com/practice/grade©\5©\math/6
iPad/?iPhone?[FULL]
https://itunes.apple.com/us/app/grade©\5©\math©\common©\
core©\state/id973361848?mt=8
iPad/?iPhone?[Lite]
https://itunes.apple.com/us/app/grade©\5©\math©\common©\
core©\state/id975517627?mt=8
Grade?4?Math?Workbook
Platform Link
iOS
https://itunes.apple.com/us/app/grade©\4©\math©\common©\core©\
state/id861165671?mt=8
Grade?5?Math?Workbook
Platform Link
iOS
https://itunes.apple.com/us/app/5th©\grade©\math©\workbook©\
interactive/id908307012?mt=8
Geography?of?the?
United?States
Platform Link
iPad/?
iPhone?
[FULL]
https://itunes.apple.com/us/app/geography©\united©\states©\
america/id999770907?mt=8
iPad/?
iPhone?
[Lite]
https://itunes.apple.com/us/app/geography©\united©\states©\
america/id1004988430?mt=8
play.
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thrive.
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