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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 1–20, 
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 11–19 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
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Kindergarten Math Overview ClassK12