Arkansas

NPV Number & Place Value

• Counting & Number Foundations: Students know the number names and count sequence while exploring the relationships between numbers.

  • K.NPV.1 Count to 100 by ones and tens; count forward by ones from any given number up to 100.

    • 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 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 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 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 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)
    • Understand tens and ones - up to 20 (K-II.5)
    • Count on ten frames - up to 30 (K-JJ.1)
    • Count forward - up to 30 (K-JJ.4)
    • Count blocks - up to 30 (K-JJ.5)
    • Understand tens and ones - up to 30 (K-JJ.6)
    • 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)
    • Count forward - up to 100 (K-LL.8)
    • Sequences - count by ones or tens (K-LL.9)

  • K.NPV.2 Count a set of objects up to 20 using one-to-one correspondence, demonstrating that the last number stated indicates the number of objects in the set regardless of the arrangement.

    • 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)
    • Learn to count to 5 (K-D.1)
    • Count pictures - up to 5 (K-D.2)
    • 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 pictures - 0 to 5 (K-D.13)
    • 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)
    • 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)
    • Show numbers on ten frames - up to 20 (K-EE.9)
    • Represent numbers - up to 20 (K-EE.10)

  • K.NPV.3 Identify the position of objects in a set using ordinal numbers (first, second, third, etc.).

    • Ordinal numbers - up to fifth (K-D.18)
    • Ordinal numbers - up to tenth (K-L.11)
    • Ordinal numbers - up to third (K)

  • K.NPV.4 Identify quickly a number of items in a set from 0 to 10 without counting.

    • Count pictures - up to 3 (K-B.2)
    • Count shapes - up to 3 (K-B.3)
    • Count on frames - up to 3 (K-B.5)
    • 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 shapes - up to 5 (K-D.8)
    • 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 blocks - up to 10 (K-J.7)
    • Count scattered shapes - up to 10 (K-J.9)
    • Count shapes in rings - up to 10 (K-J.10)
    • Represent numbers - up to 10 (K-J.14)

• Place Value: Students understand the base ten place value system.

  • K.NPV.5 Read, write, and represent whole numbers from 0 to 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)

  • K.NPV.6 Show equivalent forms of whole numbers up to 20 as groups of tens and ones, using manipulatives and drawings.

    • Count blocks - up to 20 (K-EE.7)
    • Make teen numbers: words (K-II.2)
    • 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)

• Comparison: Students use place value understanding to compare numbers.

  • K.NPV.7 Use matching and counting strategies to compare the number of objects in one group to the number of objects in another group (0 to 10) using the terms greater than, less than, or equal.

    • 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)

  • K.NPV.8 Compare two whole numbers, using the terms greater than, less than, or equal.

    • Greater than or less than - up to 5 (K)
    • Greater than, less than, or equal to - up to 5 (K)
    • Greater than, less than, or equal to (K)

CAR Computation & Algebraic Reasoning

• Operations & Properties: Students perform operations using place value understanding and properties of operations.

  • K.CAR.1 Use objects, fingers, mental images, drawings, sounds, acting out situations, or verbal explanations to represent addition and subtraction from 0 to 10.

    • 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)

  • K.CAR.2 Use objects or drawings to decompose numbers less than or equal to 10 into pairs in more than one way, recording each decomposition.

    • 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)

  • K.CAR.3 Use a drawing or equation to find the number that makes 10 when added to a 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)

  • K.CAR.4 Use manipulatives and various strategies to fluently add and subtract within 10.

    • 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)
    • Build cube trains to add up to 10 - addition sentences (K-S.2)
    • Add two numbers - sums up to 10 (K-S.5)
    • Complete the addition sentence - sums up to 10 (K-S.8)
    • Make a number using addition - sums up to 10 (K-T.8)
    • 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)
    • Subtract with cubes - numbers up to 10 (K-Z.1)
    • Subtract - numbers up to 10 (K-Z.4)
    • Make a number using subtraction - numbers up to 10 (K-Z.5)
    • Complete the subtraction sentence - numbers up to 10 (K-Z.6)
    • 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)

• Problem Solving: Students to solve real-world problems.

  • K.CAR.5 Solve real-world problems involving addition and subtraction within 10, using objects, drawings, or equations to represent the problem.

    • 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)
    • 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)
    • 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)
    • 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)
    • Addition and subtraction word problems with pictures (K-CC.1)
    • Addition and subtraction word problems (K-CC.3)

GM Geometry & Measurement

• Shapes: Students analyze attributes of shapes to develop generalizations about their properties.

  • K.GM.1 Describe the positions of objects and geometric shapes in the environment.

    • 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)

  • K.GM.2 Name shapes correctly regardless of their orientation or overall size.

    • Circles (K-PP.1)
    • Triangles (K-PP.2)
    • Rectangles (K-PP.3)
    • Squares (K-PP.4)
    • Hexagons (K-PP.5)
    • Select two-dimensional shapes (K-PP.6)
    • Name the two-dimensional shape (K-PP.7)
    • 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)
    • Three-dimensional shapes in the real world I (K-SS.2)
    • Three-dimensional shapes in the real world II (K-SS.3)

  • K.GM.3 Identify two-dimensional attributes of three-dimensional objects.

    • Identify shapes traced from solids (K-RR.9)
    • Identify faces of three-dimensional shapes (K)

  • K.GM.4 Analyze and sort a variety of two and three-dimensional shapes using informal language to describe their similarities, differences, 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-QQ.8)
    • Describe solid shapes (K-RR.2)
    • Identify shapes traced from solids (K-RR.9)

  • K.GM.5 Compose and draw shapes found in the world using objects (e.g., straws, toothpicks, clay balls).

    • Compose simple two-dimensional shapes (K-PP.10)

• Measurement Concepts: Students develop understanding of measurement terms and concepts.

  • K.GM.6 Make direct comparisons of the length, capacity, weight, and temperature of objects, recognizing which object is shorter/longer, lighter/heavier, warmer/cooler, or holds more.

    • 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)

• Time & Money: Students explore time and money values and concepts.

  • K.GM.7 Understand concepts of time, recognizing that clocks and calendars are tools that measure time.

    • Days of the week (K)
    • Read a calendar I (K)
    • Months of the year (K)
    • Read a calendar II (K)

  • K.GM.8 Identify pennies and dimes by name and value.

    • Coin names and values - pennies and dimes (K)

DA Data Analysis

• Charts, Graphs, & Tables: Students organize and analyze data.

  • K.DA.1 Collect, sort, and organize data into two or three categories, using real-object graphs and picture graphs.

    • Which picture graph is correct? (K-VV.1)
    • Interpret picture graphs (K-VV.3)
    • Create picture graphs (K)