The Common Core in Montana

MT.K.CC Counting and Cardinality

• MT.K.CC.1 Flexibly count to 100 by ones and by tens.

  • Learn to count to 3 (K-B.1)
  • Count pictures - up to 3 (K-B.2)
  • Count on frames - up to 3 (K-B.5)
  • Learn to count to 5 (K-D.1)
  • Count pictures - up to 5 (K-D.2)
  • Count dots - 0 to 5 (K-D.5)
  • Count on frames - up to 5 (K-D.6)
  • What number comes next? - up to 5 (K-D.17)
  • Learn to count to 10 (K-J.1)
  • Count pictures - up to 10 (K-J.2)
  • Count dots - up to 10 (K-J.4)
  • Count on ten frames - up to 10 (K-J.6)
  • Count blocks - up to 10 (K-J.7)
  • What number comes next? - up to 10 (K-L.1)
  • Count pictures - up to 20 (K-EE.4)
  • Count dots - 0 to 20 (K-EE.5)
  • Count on ten frames - up to 20 (K-EE.6)
  • Count blocks - up to 20 (K-EE.7)
  • Count on a chart - up to 20 (K-GG.1)
  • Count on ten frames - up to 30 (K-JJ.1)
  • Count on a chart - up to 30 (K-JJ.2)
  • Count blocks - up to 30 (K-JJ.5)
  • Learn to skip-count by tens (K-KK.1)
  • Skip-count by tens (K-KK.2)
  • Count groups of ten (K-KK.3)
  • Count pictures - up to 100 (K-LL.3)
  • Count blocks - up to 100 (K-LL.4)
  • Count on the hundred chart (K-LL.5)
  • Sequences - count by ones or tens (K-LL.9)

• MT.K.CC.2 Count beginning from a given number within the known sequence.

  • Count up to find the next number - up to 5 (K-D.15)
  • Count up to find the next number - up to 10 (K-L.2)
  • Count forward - up to 10 (K-L.8)
  • Complete a sequence - up to 10 (K-L.10)
  • Count up to find the next number - up to 20 (K-GG.2)
  • Count forward - up to 20 (K-GG.6)
  • Complete an increasing sequence - up to 20 (K-GG.9)
  • Count forward - up to 30 (K-JJ.4)
  • Count forward on the hundred chart (K-LL.6)
  • Count up to find the next number - up to 100 (K-LL.7)
  • Count forward - up to 100 (K-LL.8)

• MT.K.CC.3 Write numbers from 0–20 and represent a number of objects with a written numeral 0–20.

  • Identify numbers - up to 3 (K-A.1)
  • Choose the number that you hear - up to 3 (K-A.2)
  • Count pictures - up to 3 (K-B.2)
  • Count on frames - up to 3 (K-B.5)
  • Identify numbers - 0 to 5 (K-C.3)
  • Choose the number that you hear - 0 to 5 (K-C.4)
  • Count pictures - up to 5 (K-D.2)
  • Count dots - 0 to 5 (K-D.5)
  • Count on frames - up to 5 (K-D.6)
  • Identify numbers - up to 10 (K-I.1)
  • Choose the number that you hear - up to 10 (K-I.2)
  • Names of numbers - up to 10 (K-I.3)
  • Count pictures - up to 10 (K-J.2)
  • Count dots - up to 10 (K-J.4)
  • Count on ten frames - up to 10 (K-J.6)
  • Count blocks - up to 10 (K-J.7)
  • Identify numbers - up to 20 (K-DD.1)
  • Write the number you hear - up to 20 (K-DD.2)
  • Names of numbers - up to 20 (K-DD.3)
  • Count pictures - up to 20 (K-EE.4)
  • Count dots - 0 to 20 (K-EE.5)
  • Count on ten frames - up to 20 (K-EE.6)
  • Count blocks - up to 20 (K-EE.7)

• MT.K.CC.4 Understand the relationship between numbers and quantities and connect counting to cardinality by recognizing that each successive number name refers to a quantity that is one larger within a normal counting sequence.

  • Learn to count to 3 (K-B.1)
  • Count pictures - up to 3 (K-B.2)
  • Count on frames - up to 3 (K-B.5)
  • Count out stickers - up to 3 (K-B.6)
  • Show numbers on frames - up to 3 (K-B.8)
  • Represent numbers with pictures - up to 3 (K-B.9)
  • Represent numbers with shapes - up to 3 (K-B.10)
  • Learn to count to 5 (K-D.1)
  • Count pictures - up to 5 (K-D.2)
  • Count dots - 0 to 5 (K-D.5)
  • Count on frames - up to 5 (K-D.6)
  • Count out stickers - up to 5 (K-D.9)
  • Show numbers on frames - up to 5 (K-D.11)
  • Represent numbers with pictures - up to 5 (K-D.12)
  • Represent numbers with shapes - up to 5 (K-D.14)
  • One more with pictures - up to 5 (K-E.1)
  • One more on frames - up to 5 (K-E.2)
  • One more - up to 5 (K-E.3)
  • Learn to count to 10 (K-J.1)
  • Count pictures - up to 10 (K-J.2)
  • Count dots - up to 10 (K-J.4)
  • Count on ten frames - up to 10 (K-J.6)
  • Count out stickers - up to 10 (K-J.11)
  • Show numbers on ten frames - up to 10 (K-J.13)
  • Represent numbers - up to 10 (K-J.14)
  • One more with pictures - up to 10 (K-K.1)
  • One more on frames - up to 10 (K-K.2)
  • One more - up to 10 (K-K.3)
  • Count pictures - up to 20 (K-EE.4)
  • Count dots - 0 to 20 (K-EE.5)
  • Count on ten frames - up to 20 (K-EE.6)
  • Count pictures in arrays and circles - up to 20 (K-EE.8)
  • Show numbers on ten frames - up to 20 (K-EE.9)
  • Represent numbers - up to 20 (K-EE.10)
  • One more - up to 20 (K-FF.1)

• MT.K.CC.5 Count to answer "how many?" in a variety of arrangements and, given a number, produce a set within 20.

  • Count pictures - up to 3 (K-B.2)
  • Count shapes - up to 3 (K-B.3)
  • Count cubes - up to 3 (K-B.4)
  • Count on frames - up to 3 (K-B.5)
  • Count out stickers - up to 3 (K-B.6)
  • Show numbers with cubes - up to 3 (K-B.7)
  • Show numbers on frames - up to 3 (K-B.8)
  • Represent numbers with pictures - up to 3 (K-B.9)
  • Represent numbers with shapes - up to 3 (K-B.10)
  • Count pictures - up to 5 (K-D.2)
  • Count shapes in rows - up to 5 (K-D.3)
  • Count cubes - up to 5 (K-D.4)
  • Count dots - 0 to 5 (K-D.5)
  • Count on frames - up to 5 (K-D.6)
  • Count scattered pictures - up to 5 (K-D.7)
  • Count scattered shapes - up to 5 (K-D.8)
  • Count out stickers - up to 5 (K-D.9)
  • Show numbers with cubes - up to 5 (K-D.10)
  • Show numbers on frames - up to 5 (K-D.11)
  • Represent numbers with pictures - up to 5 (K-D.12)
  • Represent numbers with pictures - 0 to 5 (K-D.13)
  • Represent numbers with shapes - up to 5 (K-D.14)
  • Count pictures - up to 10 (K-J.2)
  • Count cubes - up to 10 (K-J.3)
  • Count dots - up to 10 (K-J.4)
  • Count shapes in rows - up to 10 (K-J.5)
  • Count on ten frames - up to 10 (K-J.6)
  • Count scattered pictures - up to 10 (K-J.8)
  • Count scattered shapes - up to 10 (K-J.9)
  • Count shapes in rings - up to 10 (K-J.10)
  • Count out stickers - up to 10 (K-J.11)
  • Show numbers with cubes - up to 10 (K-J.12)
  • Show numbers on ten frames - up to 10 (K-J.13)
  • Represent numbers - up to 10 (K-J.14)
  • Count pictures - up to 20 (K-EE.4)
  • Count dots - 0 to 20 (K-EE.5)
  • Count on ten frames - up to 20 (K-EE.6)
  • Count pictures in arrays and circles - up to 20 (K-EE.8)
  • Show numbers on ten frames - up to 20 (K-EE.9)
  • Represent numbers - up to 20 (K-EE.10)

• MT.K.CC.6 Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group.

  • Are there the same number? - up to 5 (K-F.1)
  • More - compare by matching up to 5 (K-F.3)
  • Fewer - compare by matching up to 5 (K-F.4)
  • Fewer and more - compare by matching up to 5 (K-F.5)
  • Fewer, more, and same - up to 5 (K-F.6)
  • Greater - compare by matching up to 5 (K-F.7)
  • Less - compare by matching up to 5 (K-F.8)
  • Are there enough? - up to 5 (K-F.9)
  • Fewer and more - compare by counting up to 5 (K-F.10)
  • Fewer and more - compare in a mixed group up to 5 (K-F.11)
  • Greater than, less than, or equal to - compare by counting up to 5 (K-F.12)
  • Count pictures and show a number that is greater, less, or equal - up to 5 (K-F.13)
  • Show a number greater than, less than, or equal to a given number up to 5 (K-F.14)
  • Fewer and more - compare by matching (K-M.1)
  • Fewer, more, and same (K-M.2)
  • Greater and less - compare by matching up to 10 (K-M.3)
  • Are there enough? (K-M.4)
  • Fewer and more - compare by counting (K-M.6)
  • Fewer and more - compare in a mixed group (K-M.7)
  • Greater than, less than, or equal to - compare by counting up to 10 (K-M.8)
  • Count pictures and show a number that is greater, less, or equal - up to 10 (K-M.9)
  • Show a number greater than, less than, or equal to a given number up to 10 (K-M.10)

• MT.K.CC.7 Compare two numbers between 1 and 10 presented as written numerals.

  • Compare two numbers - up to 5 (K-F.15)
  • Greater and less - compare two numbers up to 5 (K-F.16)
  • Compare two numbers - up to 10 (K-M.11)
  • Greater and less - compare two numbers up to 10 (K-M.12)

MT.K.OA Operations and Algebraic Thinking

• MT.K.OA.1 Represent addition and subtraction in multiple ways.

  • Put together numbers using cubes - sums up to 5 (K-N.1)
  • Build cube trains to add up to 5 - words (K-N.2)
  • Addition sentences up to 5 - which model matches? (K-N.3)
  • Addition sentences up to 5 - what does the model show? (K-N.4)
  • Write addition sentences for pictures - sums up to 5 (K-N.5)
  • Put together numbers using cubes - sums up to 10 (K-R.1)
  • Build cube trains to add up to 10 - words (K-R.2)
  • Addition sentences up to 10 - which model matches? (K-R.3)
  • Addition sentences up to 10 - what does the model show? (K-R.4)
  • Write addition sentences for pictures - sums up to 10 (K-R.5)
  • Turn words into an addition sentence - sums up to 10 (K-R.6)
  • Take away cubes - numbers up to 5 (K-V.1)
  • Subtraction sentences up to 5 - which model matches? (K-V.2)
  • Subtraction sentences up to 5 - what does the model show? (K-V.3)
  • Subtraction sentences up to 5 - what does the cube train show? (K-V.4)
  • Write subtraction sentences for pictures - up to 5 (K-V.5)
  • Take away cubes - numbers up to 10 (K-Y.1)
  • Subtraction sentences up to 10 - which model matches? (K-Y.2)
  • Subtraction sentences up to 10 - what does the model show? (K-Y.3)
  • Subtraction sentences up to 10 - what does the cube train show? (K-Y.4)
  • Write subtraction sentences for pictures - up to 10 (K-Y.5)
  • Turn words into a subtraction sentence - numbers up to 10 (K-Y.6)

• MT.K.OA.2 Solve addition and subtraction problems in context within 10. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

  • Add with cubes - sums up to 5 (K-O.1)
  • Build cube trains to add up to 5 - addition sentences (K-O.2)
  • Add with pictures - sums up to 5 (K-O.3)
  • Add two numbers - sums up to 5 (K-O.4)
  • Make a number using addition - sums up to 5 (K-P.5)
  • Build cube trains to solve addition word problems - sums up to 5 (K-Q.1)
  • Addition word problems with pictures - sums up to 5 (K-Q.2)
  • Write addition sentences for word problems with pictures - sums up to 5 (K-Q.3)
  • Addition word problems - sums up to 5 (K-Q.4)
  • Model and write addition sentences for word problems - sums up to 5 (K-Q.5)
  • Add with cubes - sums up to 10 (K-S.1)
  • Build cube trains to add up to 10 - addition sentences (K-S.2)
  • Add with pictures - sums up to 10 (K-S.3)
  • Add two numbers - sums up to 10 (K-S.5)
  • Complete the addition sentence to make 10 - with models (K-S.6)
  • Make a number using addition - sums up to 10 (K-T.8)
  • Build cube trains to solve addition word problems - sums up to 10 (K-U.1)
  • Addition word problems with pictures - sums up to 10 (K-U.2)
  • Write addition sentences for word problems with pictures - sums up to 10 (K-U.3)
  • Addition word problems - sums up to 10 (K-U.4)
  • Model and write addition sentences for word problems - sums up to 10 (K-U.5)
  • Subtract with cubes - numbers up to 5 (K-W.1)
  • Subtract with pictures - numbers up to 5 (K-W.2)
  • Subtract - numbers up to 5 (K-W.3)
  • Make a number using subtraction - numbers up to 5 (K-W.4)
  • Complete the subtraction sentence - numbers up to 5 (K-W.5)
  • Subtraction word problems with pictures - numbers up to 5 (K-X.1)
  • Write subtraction sentences for word problems with pictures - up to 5 (K-X.2)
  • Use cube trains to solve subtraction word problems - up to 5 (K-X.3)
  • Subtraction word problems - numbers up to 5 (K-X.4)
  • Model and write subtraction sentences for word problems - up to 5 (K-X.5)
  • Subtract with cubes - numbers up to 10 (K-Z.1)
  • Subtract with pictures - numbers up to 10 (K-Z.2)
  • Subtract - numbers up to 10 (K-Z.4)
  • Make a number using subtraction - numbers up to 10 (K-Z.5)
  • Subtraction word problems with pictures - numbers up to 10 (K-AA.1)
  • Write subtraction sentences for word problems with pictures - up to 10 (K-AA.2)
  • Use cube trains to solve subtraction word problems - up to 10 (K-AA.3)
  • Subtraction word problems - numbers up to 10 (K-AA.4)
  • Model and write subtraction sentences for word problems - up to 10 (K-AA.5)
  • Add or subtract - numbers up to 5 (K-BB.1)
  • Add or subtract - numbers up to 10 (K-BB.2)
  • Addition and subtraction - ways to make a number (K-BB.3)
  • Add and subtract with 0 (K-BB.6)
  • Addition and subtraction word problems with pictures (K-CC.1)
  • Use cube trains to solve addition and subtraction word problems - up to 10 (K-CC.2)
  • Addition and subtraction word problems (K-CC.3)
  • Model and write addition and subtraction sentences for word problems (K-CC.4)

• MT.K.OA.3 Decompose numbers less than or equal to 10 into pairs in multiple ways.

  • Complete the addition sentence - sums up to 5 (K-O.5)
  • Take apart numbers using cubes - sums up to 5 (K-P.1)
  • Make a number different ways using cubes - sums up to 5 (K-P.2)
  • Take apart numbers up to 5 - addition sentences (K-P.3)
  • Take apart numbers in different ways - sums up to 5 (K-P.4)
  • Make a number using addition - sums up to 5 (K-P.5)
  • Complete the addition sentence - sums up to 10 (K-S.8)
  • Take apart numbers using cubes - sums up to 10 (K-T.1)
  • Make a number different ways using cubes - sums up to 10 (K-T.2)
  • Decompose a number up to 10 (K-T.4)
  • Take apart numbers up to 10 - addition sentences (K-T.5)
  • Take apart numbers in different ways - sums up to 10 (K-T.7)
  • Make a number using addition - sums up to 10 (K-T.8)

• MT.K.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number.

  • Count to fill a ten frame (K-L.4)
  • Complete the addition sentence to make 10 - with models (K-S.6)
  • Complete the addition sentence to make 10 (K-S.7)
  • Take apart 10 using cubes (K-T.3)
  • Take apart 10 - addition sentences (K-T.6)

• MT.K.OA.5 Flexibly and accurately add and subtract within 5.

  • Add two numbers - sums up to 5 (K-O.4)
  • Complete the addition sentence - sums up to 5 (K-O.5)
  • Make a number using addition - sums up to 5 (K-P.5)
  • Subtract - numbers up to 5 (K-W.3)
  • Make a number using subtraction - numbers up to 5 (K-W.4)
  • Complete the subtraction sentence - numbers up to 5 (K-W.5)
  • Add or subtract - numbers up to 5 (K-BB.1)
  • Related facts with models - numbers up to 5 (K-BB.4)

• MT.K.OA.6 Recognize the characteristics of the commutative property in addition.

  • Add in any order (K-S.9)
  • Related addition facts with models - sums up to 10 (K)

MT.K.NBT Number and Operations in Base Ten

• MT.K.NBT.1 Compose and decompose numbers from 11–19 into ten ones and further ones in multiple ways and record each composition or decomposition by a drawing or an equation.

  • Make teen numbers with models: words (K-II.1)
  • Make teen numbers: words (K-II.2)
  • Take apart teen numbers with models: words (K-II.3)
  • Take apart teen numbers: words (K-II.4)
  • Understand tens and ones - up to 20 (K-II.5)
  • Make and take apart teen numbers: tens and ones (K-II.6)
  • Make teen numbers with models: addition sentences (K-II.7)
  • Make teen numbers: addition sentences (K-II.8)
  • Take apart teen numbers with models: addition sentences (K-II.9)
  • Take apart teen numbers: addition sentences (K-II.10)
  • Make and take apart teen numbers with models: addition sentences (K-II.11)
  • Make and take apart teen numbers: addition sentences (K-II.12)

MT.K.MD Measurement and Data

• MT.K.MD.1 Describe several attributes of a single object.

  • Long and short (K-WW.1)
  • Tall and short (K-WW.2)
  • Wide and narrow (K-WW.3)
  • Light and heavy (K-WW.4)
  • Holds more or less (K-WW.5)
  • Covers more or less (K-WW.6)
  • Compare size, weight, and capacity (K-WW.7)
  • Should you measure size, weight, or capacity? (K-WW.8)

• MT.K.MD.2 Directly compare two objects with a measurable attribute in common using comparative language.

  • Long and short (K-WW.1)
  • Tall and short (K-WW.2)
  • Wide and narrow (K-WW.3)
  • Light and heavy (K-WW.4)
  • Holds more or less (K-WW.5)
  • Covers more or less (K-WW.6)
  • Compare size, weight, and capacity (K-WW.7)

• MT.K.MD.3 Classify, count, and sort objects into categories. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

  • Fewer and more - compare by counting (K-M.6)
  • Fewer and more - compare in a mixed group (K-M.7)
  • Different (K-OO.1)
  • Same (K-OO.2)
  • Same and different (K-OO.3)
  • Sort circles (K-PP.8)
  • Sort two-dimensional shapes (K-PP.9)
  • Classify shapes by color (K-UU.1)
  • Classify and sort by color (K-UU.2)
  • Classify and sort by shape (K-UU.3)
  • Classify and sort (K-UU.4)
  • Classify, sort, and count (K-UU.5)
  • Sort, count, and compare (K-UU.6)
  • Count shapes in a Venn diagram (K-UU.7)
  • Sort shapes into a Venn diagram (K-UU.8)
  • Make picture graphs (K-VV.2)

• MT.K.MD.4 Describe attributes and identify the names of coins.

  • Coin names - penny through quarter (K-YY.1)

• MT.K.MD.5 Explain time in days, months, years, and seasons.

  • Days of the week (K)
  • Months of the year (K)
  • Seasons (K)

MT.K.G Geometry

• MT.K.G.1 Describe the relative positions of objects in their environment. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

  • In front of and behind (K-NN.1)
  • Inside and outside (K-NN.2)
  • Above and below (K-NN.3)
  • Beside and next to (K-NN.4)
  • Left, middle, and right (K-NN.5)
  • Top, middle, and bottom (K-NN.6)
  • Location in a grid (K-NN.7)
  • Three-dimensional shapes - above and below (K-SS.4)
  • Three-dimensional shapes - beside and next to (K-SS.5)

• MT.K.G.2 Correctly name shapes regardless of their orientations or overall size.

  • Circles (K-PP.1)
  • Triangles (K-PP.2)
  • Rectangles (K-PP.3)
  • Squares (K-PP.4)
  • Sort circles (K-PP.8)
  • Spheres (K-RR.3)
  • Cubes (K-RR.4)
  • Cones (K-RR.5)
  • Cylinders (K-RR.6)
  • Select three-dimensional shapes (K-RR.7)
  • Name the three-dimensional shape (K-RR.8)
  • Identify circles, triangles, squares, and rectangles (K)
  • Select circles, triangles, squares, and rectangles (K)
  • Sort two-dimensional shapes (K)

• MT.K.G.3 Identify shapes that are two-dimensional or three-dimensional.

  • Flat and solid shapes (K-RR.1)
  • Two-dimensional and three-dimensional shapes (K)

• MT.K.G.4 Analyze and compare two- and three-dimensional shapes using informal language and other attributes.

  • Curved parts (K-QQ.1)
  • Count corners (K-QQ.2)
  • Square corners (K-QQ.3)
  • Count sides (K-QQ.4)
  • Equal sides (K-QQ.5)
  • Count sides and corners (K-QQ.6)
  • Compare sides and corners (K-QQ.7)
  • Compare shapes using attributes (K)
  • Describe solid shapes (K-RR.2)
  • Identify shapes traced from solids (K-RR.9)

• MT.K.G.5 Model shapes in the environment. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

  • Two-dimensional shapes in the real world (K)
  • Three-dimensional shapes in the real world I (K-SS.2)
  • Three-dimensional shapes in the real world II (K-SS.3)

• MT.K.G.6 Compose simple shapes to form larger shapes.

  • Compose simple two-dimensional shapes (K-PP.10)
  • Build and take apart three-dimensional shapes (K-RR.11)