North Carolina 1st Grade Math Standards

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NC.1.OA Operations and Algebraic Thinking

• Represent and solve problems.
  • NC.1.OA.1 Represent and solve addition and subtraction word problems, within 20, with unknowns, by using objects, drawings, and equations with a symbol for the unknown number to represent the problem, when solving:
    • NC.1.OA.1.a Add to/Take from-Change Unknown
    • NC.1.OA.1.b Put together/Take Apart-Addend Unknown
    • NC.1.OA.1.c Compare-Difference Unknown
  • NC.1.OA.2 Represent and 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 the unknown number.
• Understand and apply the properties of operations.
  • NC.1.OA.3 Apply the commutative and associative properties as strategies for solving addition problems.
  • NC.1.OA.4 Solve an unknown-addend problem, within 20, by using addition strategies and/or changing it to a subtraction problem.
• Add and subtract within 20.
  • NC.1.OA.9 Demonstrate fluency with addition and subtraction within 10.
  • NC.1.OA.6 Add and subtract, within 20, using strategies such as:
    • NC.1.OA.6.a Counting on
    • NC.1.OA.6.b Making ten
    • NC.1.OA.6.c Decomposing a number leading to a ten
    • NC.1.OA.6.d Using the relationship between addition and subtraction
    • NC.1.OA.6.e Using a number line
    • NC.1.OA.6.f Creating equivalent but simpler or known sums
• Analyze addition and subtraction equations within 20.
  • NC.1.OA.7 Apply understanding of the equal sign to determine if equations involving addition and subtraction are true.
  • NC.1.OA.8 Determine the unknown whole number in an addition or subtraction equation involving three whole numbers.

NC.1.NBT Number and Operations in Base Ten

• Extend and recognize patterns in the counting sequence.
  • NC.1.NBT.1 Count to 150, starting at any number less than 150.
  • NC.1.NBT.7 Read and write numerals, and represent a number of objects with a written numeral, to 100.
• Understand place value.
  • NC.1.NBT.2 Understand that the two digits of a two-digit number represent amounts of tens and ones.
    • NC.1.NBT.2.a Unitize by making a ten from a collection of ten ones.
    • NC.1.NBT.2.b Model the numbers from 11 to 19 as composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
    • NC.1.NBT.2.c Demonstrate that the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens, with 0 ones.
  • NC.1.NBT.3 Compare two two-digit numbers based on the value of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
• Use place value understanding and properties of operations.
  • NC.1.NBT.4 Using concrete models or drawings, strategies based on place value, properties of operations, and explaining the reasoning used, add, within 100, in the following situations:
    • NC.1.NBT.4.a A two-digit number and a one-digit number
    • NC.1.NBT.4.b A two-digit number and a multiple of 10
  • NC.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.
  • NC.1.NBT.6 Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90, explaining the reasoning, using:
    • NC.1.NBT.6.a Concrete models and drawings
    • NC.1.NBT.6.b Number lines
    • NC.1.NBT.6.c Strategies based on place value
    • NC.1.NBT.6.d Properties of operations
    • NC.1.NBT.6.e The relationship between addition and subtraction

NC.1.MD Measurement and Data

• Measure lengths.
  • NC.1.MD.1 Order three objects by length; compare the lengths of two objects indirectly by using a third object.
  • NC.1.MD.2 Measure lengths with non-standard units.
    • NC.1.MD.2.a Express the length of an object as a whole number of non-standard length units.
    • NC.1.MD.2.b Measure by laying multiple copies of a shorter object (the length unit) end to end (iterating) with no gaps or overlaps.
• Build understanding of time and money.
  • NC.1.MD.3 Tell and write time in hours and half-hours using analog and digital clocks.
  • NC.1.MD.5 Identify quarters, dimes, and nickels and relate their values to pennies.
• Represent and interpret data.
  • NC.1.MD.4 Organize, represent, and interpret data with up to three categories.
    • NC.1.MD.4.a Ask and answer questions about the total number of data points.
    • NC.1.MD.4.b Ask and answer questions about how many in each category.
    • NC.1.MD.4.c Ask and answer questions about how many more or less are in one category than in another.

NC.1.G Geometry

• Reason with shapes and their attributes.
  • NC.1.G.1 Distinguish between defining and non-defining attributes and create shapes with defining attributes by:
    • NC.1.G.1.a Building and drawing triangles, rectangles, squares, trapezoids, hexagons, circles.
    • NC.1.G.1.b Building cubes, rectangular prisms, cones, spheres, and cylinders.
  • NC.1.G.2 Create composite shapes by:
    • NC.1.G.2.a Making a two-dimensional composite shape using rectangles, squares, trapezoids, triangles, and half-circles naming the components of the new shape.
    • NC.1.G.2.b Making a three-dimensional composite shape using cubes, rectangular prisms, cones, and cylinders, naming the components of the new shape.
  • NC.1.G.3 Partition circles and rectangles into two and four equal shares.
    • NC.1.G.3.a Describe the shares as halves and fourths, as half of and fourth of.
    • NC.1.G.3.b Describe the whole as two of, or four of the shares.
    • NC.1.G.3.c Explain that decomposing into more equal shares creates smaller shares.