Georgia

NR Numerical Reasoning

• Counting, money, place value, numbers to 20, addition, subtraction and fluency

  • K.NR.1 Demonstrate and explain the relationship between numbers and quantities up to 20; connect counting to cardinality (the last number counted represents the total quantity in a set).

    • K.NR.1.1 Count up to 20 objects in a variety of structured arrangements and up to 10 objects in a scattered arrangement.

      • 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)

    • K.NR.1.2 When counting objects, explain that the last number counted represents the total quantity in a set (cardinality), regardless of the arrangement and order.

      • Learn to count to 3 (K-B.1)
      • 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)
      • Represent numbers with pictures - up to 5 (K-D.12)
      • Represent numbers with shapes - up to 5 (K-D.14)
      • Learn to count to 10 (K-J.1)
      • Represent numbers - up to 10 (K-J.14)
      • Represent numbers - up to 20 (K-EE.10)

    • K.NR.1.3 Given a number from 1-20, identify the number that is one more or one less.

      • 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)
      • One less with pictures - up to 5 (K-E.4)
      • One less on frames - up to 5 (K-E.5)
      • 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)
      • One less with pictures - up to 10 (K-K.4)
      • One less on frames - up to 10 (K-K.5)
      • One more and one less with pictures - up to 10 (K-K.7)
      • One more and one less on frames - up to 10 (K-K.8)

    • K.NR.1.4 Identify pennies, nickels, and dimes and know their name and value.

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

  • K.NR.2 Use count sequences within 100 to count forward and backward in sequence.

    • K.NR.2.1 Count forward to 100 by tens and ones and backward from 20 by ones.

      • 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)
      • 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)
      • Number lines - up to 10 (K-L.5)
      • Count forward and backward - up to 10 (K-L.9)
      • 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)
      • Number lines - up to 20 (K-GG.4)
      • Count backward - up to 20 (K-GG.7)
      • Count forward and backward - up to 20 (K-GG.8)
      • Understand tens and ones - up to 20 (K-II.5)
      • 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)
      • 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)
      • Sequences - count by ones or tens (K-LL.9)
      • Count backward - up to 10 (K)

    • K.NR.2.2 Count forward beginning from any number within 100 and count backward from any number within 20.

      • Count up to find the next number - up to 5 (K-D.15)
      • What number comes next? - up to 5 (K-D.17)
      • 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)
      • Count forward and backward - up to 10 (K-L.9)
      • 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)
      • Count backward - up to 20 (K-GG.7)
      • Count forward and backward - up to 20 (K-GG.8)
      • 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)
      • Count backward - up to 10 (K)

  • K.NR.3 Use place value understanding to compose and decompose numbers from 11-19.

    • K.NR.3.1 Describe numbers from 11 to 19 by composing (putting together) and decomposing (breaking apart) the numbers into ten ones and some more ones.

      • 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)

  • K.NR.4 Identify, write, represent, and compare numbers up to 20.

    • K.NR.4.1 Identify written numerals 0-20 and represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).

      • 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.NR.4.2 Compare two sets of up to 10 objects and identify whether the number of objects in one group is more or less than the other group, using the words "greater than," "less than," or "the same as".

      • Are there the same number? - up to 5 (K-F.1)
      • 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)
      • 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.NR.5 Explain the concepts of addition, subtraction, and equality and use these concepts to solve real-life problems within 10.

    • K.NR.5.1 Compose (put together) and decompose (break apart) numbers up to 10 using objects and drawings.

      • Count to fill a ten frame (K-L.4)
      • Put together numbers using cubes - sums up to 5 (K-N.1)
      • Build cube trains to add up to 5 - words (K-N.2)
      • 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 in different ways - sums up to 5 (K-P.4)
      • Put together numbers using cubes - sums up to 10 (K-R.1)
      • Build cube trains to add up to 10 - words (K-R.2)
      • 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)
      • Take apart 10 using cubes (K-T.3)
      • Decompose a number up to 10 (K-T.4)
      • Take apart numbers in different ways - sums up to 10 (K-T.7)
      • Take away cubes - numbers up to 5 (K-V.1)
      • Take away cubes - numbers up to 10 (K-Y.1)

    • K.NR.5.2 Represent addition and subtraction within 10 from a given authentic situation using a variety of representations and strategies.

      • 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)
      • Build cube trains to add up to 5 - addition sentences (K-O.2)
      • Addition word problems with pictures - sums up to 5 (K-Q.2)
      • Addition word problems - sums up to 5 (K-Q.4)
      • 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)
      • Build cube trains to add up to 10 - addition sentences (K-S.2)
      • Complete the addition sentence to make 10 - with models (K-S.6)
      • Addition word problems with pictures - sums up to 10 (K-U.2)
      • Addition word problems - sums up to 10 (K-U.4)
      • 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)
      • Subtract with cubes - numbers up to 5 (K-W.1)
      • Subtraction word problems with pictures - numbers up to 5 (K-X.1)
      • Subtraction word problems - numbers up to 5 (K-X.4)
      • 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)
      • Subtract with cubes - numbers up to 10 (K-Z.1)
      • Subtraction word problems with pictures - numbers up to 10 (K-AA.1)
      • Subtraction word problems - numbers up to 10 (K-AA.4)

    • K.NR.5.3 Use a variety of strategies to solve addition and subtraction problems within 10.

      • Put together numbers using cubes - sums up to 5 (K-N.1)
      • Add with cubes - sums up to 5 (K-O.1)
      • Add with pictures - sums up to 5 (K-O.3)
      • 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)
      • Put together numbers using cubes - sums up to 10 (K-R.1)
      • Add with cubes - sums up to 10 (K-S.1)
      • Add with pictures - sums up to 10 (K-S.3)
      • 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 pictures - numbers up to 5 (K-W.2)
      • 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 pictures - numbers up to 10 (K-Z.2)
      • 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)

    • K.NR.5.4 Fluently add and subtract within 5 using a variety of strategies to solve practical, mathematical problems.

      • 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)

PAR Patterning & Algebraic Reasoning

• Repeating patterns and time

  • K.PAR.6 Explain, extend, and create repeating patterns with a repetition, not exceeding 4 and describe patterns involving the passage of time.

    • K.PAR.6.1 Create, extend, and describe repeating patterns with numbers and shapes, and explain the rationale for the pattern.

      • Learn to skip-count by tens (K-KK.1)
      • Skip-count by tens (K-KK.2)
      • Color patterns (K-MM.1)
      • Size patterns (K-MM.2)
      • Shape patterns (K-MM.3)
      • Find the next shape in a pattern (K-MM.4)
      • Complete a pattern (K-MM.5)
      • Skip-count by twos (K)
      • Skip-count by fives (K)
      • Skip-count by twos, fives, and tens (K)
      • Learn to skip-count by twos (K)
      • Skip-count by twos on ten frames (K)
      • Learn to skip-count by fives (K)
      • Learn to skip-count by twos, fives, and tens (K)

    • K.PAR.6.2 Describe patterns involving the passage of time using words and phrases related to actual events.

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

MDR Measurement & Data Reasoning

• Attributes of objects, classifying objects

  • K.MDR.7 Observe, describe, and compare the physical and measurable attributes of objects and analyze graphical displays of data.

    • K.MDR.7.1 Directly compare, describe, and order common objects, using measurable attributes (length, height, width, or weight) and describe the difference.

      • 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)
      • Compare size, weight, and capacity (K-WW.7)
      • Measure length with objects (K-WW.9)
      • Measure length with cubes (K-WW.10)
      • Build cube trains to measure length (K-WW.11)
      • Measure height with cubes (K-WW.12)
      • Build cube trains to measure height (K-WW.13)

    • K.MDR.7.2 Classify and sort up to ten objects into categories by an attribute; count the number of objects in each category and sort the categories by count.

      • 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)

    • K.MDR.7.3 Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life.

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

GSR Geometric & Spatial Reasoning

• 2D and 3D shapes, relative locations, attributes

  • K.GSR.8 Identify, describe, and compare basic shapes encountered in the environment, and form two-dimensional shapes and three-dimensional figures.

    • K.GSR.8.1 Identify, sort, classify, analyze, and compare two dimensional shapes and three-dimensional figures, in different sizes and orientations, using informal language to describe their similarities, differences, number of sides and vertices, and other attributes.

      • 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)
      • Sort circles (K-PP.8)
      • Sort two-dimensional shapes (K-PP.9)
      • 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)
      • Flat and solid shapes (K-RR.1)
      • 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 shapes traced from solids (K-RR.9)

    • K.GSR.8.2 Describe the relative location of an object using positional words.

      • 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)

    • K.GSR.8.3 Use basic shapes to represent specific shapes found in the environment by creating models and drawings.

      • Two-dimensional shapes in the real world (K-SS.1)
      • Three-dimensional shapes in the real world I (K-SS.2)
      • Three-dimensional shapes in the real world II (K-SS.3)

    • K.GSR.8.4 Use two or more basic shapes to form larger shapes.

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