The Common Core in Kentucky

KY.1.OA Operations and Algebraic Thinking

• Represent and solve problems using addition and subtraction.

  • KY.1.OA.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart and comparing, with unknowns in all positions.

    • Addition word problems with pictures - sums up to 10 (1-D.5)
    • Write addition sentences for word problems with pictures - sums up to 10 (1-D.)
    • Build cube trains to solve addition word problems - sums up to 10 (1-D.)
    • Addition word problems - sums up to 10 (1-D.6)
    • Model and write addition sentences for word problems - sums up to 10 (1-D.)
    • Addition sentences for word problems - sums up to 10 (1-D.7)
    • Addition word problems - sums up to 20 (1-D.12)
    • Addition sentences for word problems - sums up to 20 (1-D.13)
    • Subtraction word problems with pictures - up to 10 (1-H.6)
    • Write subtraction sentences for word problems with pictures - up to 10 (1-H.)
    • Use cube trains to solve subtraction word problems - up to 10 (1-H.)
    • Subtraction word problems - up to 10 (1-H.7)
    • Model and write subtraction sentences for word problems - up to 10 (1-H.)
    • Subtraction sentences for word problems - up to 10 (1-H.8)
    • Subtraction word problems - up to 20 (1-H.13)
    • Subtraction sentences for word problems - up to 20 (1-H.14)
    • Word problems with change unknown - up to 10 (1-K.1)
    • Word problems with start unknown - up to 10 (1-K.2)
    • Word problems with one addend unknown - up to 10 (1-K.3)
    • Word problems with both addends unknown - up to 10 (1-K.4)
    • Word problems involving addition and subtraction - up to 10 (1-K.5)
    • Word problems involving addition and subtraction - up to 20 (1-K.6)
    • Comparison word problems up to 10: how many more or fewer? (1-K.8)
    • Comparison word problems up to 10: what is the larger amount? (1-K.9)
    • Comparison word problems up to 10: what is the smaller amount? (1-K.10)
    • Comparison word problems up to 10 (1-K.11)
    • Comparison word problems up to 20: how many more or fewer? (1-K.)
    • Comparison word problems up to 20: what is the larger amount? (1-K.)
    • Comparison word problems up to 20: what is the smaller amount? (1-K.)
    • Comparison word problems up to 20 (1-K.)

  • KY.1.OA.2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, by using objects, drawings and equations with a symbol for one unknown number to represent the problem.

    • Add three numbers - word problems (1-E.17)

• Understand and apply properties of operations and the relationship between addition and subtraction.

  • KY.1.OA.3 Apply properties of operations as strategies to add and subtract.

    • Add in any order (1-D.)
    • Related addition facts (1-D.14)
    • Add three numbers - make ten (1-E.10)
    • Add three numbers (1-E.16)
    • Related subtraction facts (1-H.15)
    • Fact families (1-J.3)

  • KY.1.OA.4 Understand subtraction as an unknown-addend problem.

    • Complete the addition sentence - sums up to 10 (1-D.3)
    • Complete the addition sentence - sums up to 20 (1-D.11)
    • Complete the addition sentence - make ten (1-E.8)
    • Relate addition and subtraction sentences (1-I.1)

• Add and subtract within 20.

  • KY.1.OA.5 Relate counting to addition and subtraction.

    • Addition sentences using number lines - sums up to 10 (1-B.5)
    • Addition sentences using number lines - sums up to 20 (1-D.8)
    • Add by counting on - sums up to 10 (1-E.)
    • Subtraction sentences using number lines - up to 10 (1-F.5)
    • Subtraction sentences using number lines - up to 20 (1-H.9)
    • Subtract by counting back - up to 10 (1-I.)
    • Subtract by counting back - up to 20 (1-I.)
    • Subtract by counting on - up to 10 (1-I.2)
    • Subtract by counting on - up to 20 (1-I.3)

  • KY.1.OA.6 Add and subtract within 20.

    • KY.1.OA.6.a Fluently add and subtract within 10.

      • Addition facts - sums up to 10 (1-D.1)
      • Make a number using addition - sums up to 10 (1-D.2)
      • Ways to make a number - addition sentences up to 10 (1-D.4)
      • Subtraction facts - up to 10 (1-H.1)
      • Make a number using subtraction - up to 10 (1-H.2)
      • Ways to make a number - subtraction sentences up to 10 (1-H.3)
      • Ways to subtract from a number - subtraction sentences up to 10 (1-H.4)
      • Addition and subtraction facts - up to 10 (1-J.4)

    • KY.1.OA.6.b Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making 10; decomposing a number leading to a 10; using the relationship between addition and subtraction; creating equivalent but easier or known sums.

      • Adding 1 (1-C.1)
      • Adding 2 (1-C.2)
      • Adding 3 (1-C.3)
      • Adding 4 (1-C.4)
      • Adding 5 (1-C.5)
      • Adding 6 (1-C.6)
      • Adding 7 (1-C.7)
      • Adding 8 (1-C.8)
      • Adding 9 (1-C.9)
      • Adding 10 (1-C.)
      • Adding 0 (1-C.10)
      • Add in any order (1-D.)
      • Addition facts - sums up to 20 (1-D.9)
      • Make a number using addition - sums up to 20 (1-D.10)
      • Add by counting on - sums up to 10 (1-E.)
      • Add by counting on - sums up to 20 (1-E.)
      • Add doubles - with models (1-E.1)
      • Add doubles (1-E.2)
      • Add using doubles plus one (1-E.4)
      • Add using doubles minus one (1-E.5)
      • Make ten to add - with models (1-E.7)
      • Make ten to add (1-E.9)
      • Add three numbers - make ten (1-E.10)
      • Subtract zero and all (1-F.7)
      • Subtracting 1 (1-G.1)
      • Subtracting 2 (1-G.2)
      • Subtracting 3 (1-G.3)
      • Subtracting 4 (1-G.4)
      • Subtracting 5 (1-G.5)
      • Subtracting 6 (1-G.6)
      • Subtracting 7 (1-G.7)
      • Subtracting 8 (1-G.8)
      • Subtracting 9 (1-G.9)
      • Subtracting 10 (1-G.)
      • Subtracting 0 (1-G.10)
      • Subtraction facts - up to 20 (1-H.10)
      • Make a number using subtraction - up to 20 (1-H.11)
      • Related subtraction facts (1-H.15)
      • Relate addition and subtraction sentences (1-I.1)
      • Subtract by counting back - up to 10 (1-I.)
      • Subtract by counting back - up to 20 (1-I.)
      • Subtract by counting on - up to 10 (1-I.2)
      • Subtract by counting on - up to 20 (1-I.3)
      • Subtract doubles (1-I.4)
      • Use ten to subtract (1-I.)
      • Addition and subtraction - ways to make a number (1-J.1)
      • Addition and subtraction facts - up to 20 (1-J.5)

• Work with addition and subtraction equations.

  • KY.1.OA.7 Understand the meaning of the equal sign and determine if equations involving addition and subtraction are true or false.

    • Addition sentences: true or false? (1-D.15)
    • Addition sentences: which is true? (1-D.16)
    • Subtraction sentences: true or false? (1-H.16)
    • Subtraction sentences: which is true? (1-H.17)
    • Which sign makes the number sentence true? (1-J.2)
    • Addition and subtraction sentences: which is true? (1-J.6)

  • KY.1.OA.8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.

    • Complete the addition sentence - sums up to 10 (1-D.3)
    • Complete the addition sentence - sums up to 20 (1-D.11)
    • Add doubles - complete the sentence (1-E.3)
    • Complete the addition sentence - make ten (1-E.8)
    • Complete the subtraction sentence - up to 10 (1-H.5)
    • Complete the subtraction sentence - up to 20 (1-H.12)

KY.1.NBT Numbers and Operations in Base Ten

• Extend the counting sequence.

  • KY.1.NBT.1 Count and represent numbers.

    • KY.1.NBT.1.a Count forward to and backward from 120, starting at any number less than 120.

      • Counting forward - up to 100 (1-A.13)
      • Counting backward - up to 100 (1-A.14)
      • Counting forward - up to 120 (1-A.15)
      • Counting backward - up to 120 (1-A.16)
      • Number lines - up to 100 (1-A.17)
      • Number lines - up to 120 (1-A.18)
      • Counting on the hundred chart (1-A.19)
      • Counting on a number chart - up to 120 (1-A.20)
      • Sequences - count up and down by 1 (1-A.27)

    • KY.1.NBT.1.b In this range, read and write numerals and represent a number of objects with a written numeral.

      • Counting review - up to 10 (1-A.1)
      • Counting review - up to 20 (1-A.3)
      • Count on ten frames - up to 40 (1-A.5)
      • Counting - up to 100 (1-A.10)
      • Writing numbers in words - convert words to digits (1-A.30)
      • Writing numbers in words - convert digits to words (1-A.31)

• Understand place value.

  • KY.1.NBT.2 Understand the two-digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:

    • Counting tens and ones - up to 99 (1-A.11)
    • Hundred chart (1-A.21)
    • Place value models up to 100 (1-N.3)
    • Write numbers as tens and ones (1-N.5)

    • KY.1.NBT.2.a 10 can be thought of as a bundle of ten ones—called a "ten."

    • KY.1.NBT.2.b The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight or nine ones.

      • Counting tens and ones - up to 20 (1-A.4)
      • Place value models up to 20 (1-N.1)
      • Write numbers as tens and ones up to 20 (1-N.2)

    • KY.1.NBT.2.c The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight or nine tens (and 0 ones).

      • Convert between tens and ones - multiples of ten (1-N.4)

  • KY.1.NBT.3 Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

    • Compare numbers up to 100 using symbols (1-L.5)

• Use place value understanding and properties of operations to add and subtract.

  • KY.1.NBT.4 Add within 100 including adding a two-digit number and a one-digit number. Add a two-digit number and a multiple of 10.

    • KY.1.NBT.4.a Add within 100 using…

      • KY.1.NBT.4.a.1 concrete models or drawings;

        • Use models to add a two-digit and a one-digit number - without regrouping (1-D.17)
        • Use models to add a two-digit and a one-digit number - with regrouping (1-D.21)
        • Use models to add two-digit numbers - without regrouping (1-D.25)
        • Use models to add two-digit numbers - with regrouping (1-D.27)
        • Use models to add a multiple of ten and a one-digit number (1-E.11)
        • Use models to add a multiple of ten and a two-digit number (1-E.14)

      • KY.1.NBT.4.a.2 strategies based on place value;

        • Add a one-digit number to a two-digit number - without regrouping (1-D.18)
        • Regroup tens and ones - ways to make a number (1-D.19)
        • Regroup tens and ones (1-D.20)
        • Add a one-digit number to a two-digit number - with regrouping (1-D.22)
        • Add two-digit numbers without regrouping - sums to 100 (1-D.26)
        • Add two-digit numbers with regrouping - sums to 100 (1-D.28)
        • Add a multiple of ten and a one-digit number (1-E.12)
        • Add two multiples of ten (1-E.13)
        • Add a multiple of ten and a two-digit number (1-E.15)

      • KY.1.NBT.4.a.3 properties of operations;

        • Add doubles (1-E.2)
        • Add three numbers - use doubles (1-E.6)
        • Add three numbers (1-E.16)

      • KY.1.NBT.4.a.4 the relationship between addition and subtraction.

        • Relate addition and subtraction sentences (1-I.1)

    • KY.1.NBT.4.b Relate the addition strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.

      • Regroup tens and ones - ways to make a number (1-D.19)
      • Regroup tens and ones (1-D.20)

  • KY.1.NBT.5 Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.

    • Ten more or less (1-J.7)

  • KY.1.NBT.6 Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences).

    • KY.1.NBT.6.a Subtract using:

      • KY.1.NBT.6.a.1 concrete models or drawings;

      • KY.1.NBT.6.a.2 strategies based on place value;

        • Subtract multiples of ten (1-I.5)

      • KY.1.NBT.6.a.3 properties of operations;

      • KY.1.NBT.6.a.4 the relationship between addition and subtraction.

    • KY.1.NBT.6.b Relate the subtraction strategy to a written method and explain the reasoning used.

KY.1.MD Measurement and Data

• Measure lengths indirectly and by iterating length units.

  • KY.1.MD.1 Order three objects by length; compare the lengths of two objects indirectly by using a third object.

    • Compare objects: length and height (1-Q.2)

  • KY.1.MD.2 Express the length of an object as a whole number of same-size length units, by laying multiple copies of a shorter object (the length unit) end to end with no gaps or overlaps.

    • Measure length with objects (1-Q.7)
    • Measure length with cubes (1-Q.8)

• Work with time and money.

  • KY.1.MD.3 Assign values to time and money.

    • KY.1.MD.3.a Tell and write time in hours and half-hours using analog and digital clocks.

      • Match digital clocks and times (1-V.1)
      • Match analog clocks and times (1-V.2)
      • Match analog and digital clocks (1-V.3)
      • Read clocks and write times (1-V.4)

    • KY.1.MD.3.b Identify the coins by values (penny, nickel, dime, quarter).

      • Names and values of common coins (1-R.1)

• Understand and apply the statistics process.

  • KY.1.MD.4 Investigate questions involving categorical data.

    • KY.1.MD.4.a Pose a question that can be answered by gathering data.

    • KY.1.MD.4.b Determine strategy for gathering data from peers.

    • KY.1.MD.4.c Organize and represent data in a table/chart with up to three categories.

      • Which picture graph is correct? (1-P.1)
      • Which tally chart is correct? (1-P.3)
      • Which table is correct? (1-P.5)

    • KY.1.MD.4.d Interpret data to answer questions about the table/chart that connects to the question posed, including total number of data points, how many in each category and how many more or less are in one category than in another.

      • Interpret picture graphs (1-P.2)
      • Interpret tally charts (1-P.4)
      • Interpret data in tables (1-P.6)
      • Count shapes in a Venn diagram (1-U.1)
      • Sort shapes into a Venn diagram (1-U.2)

KY.1.G Geometry

• Reason with shapes and their attributes.

  • KY.1.G.1 Distinguish between defining attributes versus non-defining attributes; build and draw shapes to possess defining attributes.

    • Name the two-dimensional shape (1-W.1)
    • Select two-dimensional shapes (1-W.2)
    • Count sides and corners (1-W.4)
    • Compare sides and corners (1-W.5)
    • Open and closed shapes (1-W.8)
    • Two-dimensional and three-dimensional shapes (1-X.1)
    • Name the three-dimensional shape (1-X.2)
    • Cubes and rectangular prisms (1-X.3)
    • Select three-dimensional shapes (1-X.4)
    • Count vertices, edges, and faces (1-X.5)
    • Compare vertices, edges, and faces (1-X.6)
    • Identify faces of three-dimensional shapes (1-X.8)

  • KY.1.G.2 Compose shapes.

    • KY.1.G.2.a Compose two-dimensional shapes to create rectangles, squares, trapezoids, triangles, half-circles and quarter-circles composite shape and compose new shapes from the composite shapes.

      • Compose two-dimensional shapes (1-W.11)

    • KY.1.G.2.b Use three-dimensional shapes (cubes, right rectangular prisms, right circular cones and right circular cylinders) to create a composite shape and compose new shapes from the composite shapes.

  • KY.1.G.3 Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths and quarters, and use the phrases half of, fourth of and quarter of. Describe the whole as two of or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

    • Equal parts - halves and fourths (1-Y.1)
    • Identify halves and fourths (1-Y.6)
    • Make halves (1-Y.8)
    • Make fourths (1-Y.10)
    • Make halves and fourths (1-Y.11)
    • Make halves and fourths in different ways (1-Y.13)