Standards for Mathematical Practice
- 1.
Make sense of problems and persevere in solving them.MP.1
- 2.
Reason abstractly and quantitatively.MP.2
- 3.
Construct viable arguments and critique the reasoning of others.MP.3
- 4.
Model with mathematics.MP.4
- 5.
Use appropriate tools strategically.MP.5
- 6.
Attend to precision.MP.6
- 7.
Look for and make use of structure.MP.7
- 8.
Look for and express regularity in repeated reasoning.MP.8
Operations and Algebraic Thinking
Represent and solve problems.
- 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:<ul><li>Add to/Take from-Change Unknown</li><li>Put together/Take Apart-Addend Unknown</li><li>Compare-Difference Unknown</li></ul>NC.1.OA.1
- 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.NC.1.OA.2
- 1.
Understand and apply the properties of operations.
- 3.
Apply the commutative and associative properties as strategies for solving addition problems.NC.1.OA.3
- 4.
Solve an unknown-addend problem, within 20, by using addition strategies and/or changing it to a subtraction problem.NC.1.OA.4
- 3.
Add and subtract within 20.
- 9.
Demonstrate fluency with addition and subtraction within 10.NC.1.OA.9
- 6.
Add and subtract, within 20, using strategies such as:<ul><li>Counting on</li><li>Making ten</li><li>Decomposing a number leading to a ten</li><li>Using the relationship between addition and subtraction</li><li>Using a number line</li><li>Creating equivalent but simpler or known sums</li></ul>NC.1.OA.6
- 9.
Analyze addition and subtraction equations within 20.
- 7.
Apply understanding of the equal sign to determine if equations involving addition and subtraction are true.NC.1.OA.7
- 8.
Determine the unknown whole number in an addition or subtraction equation involving three whole numbers.NC.1.OA.8
- 7.
Number and Operations in Base Ten
Extend and recognize patterns in the counting sequence.
- 1.
Count to 150, starting at any number less than 150.NC.1.NBT.1
- 7.
Read and write numerals, and represent a number of objects with a written numeral, to 100.NC.1.NBT.7
- 1.
Understand place value.
- 2.
Understand that the two digits of a two-digit number represent amounts of tens and ones.<ul><li>Unitize by making a ten from a collection of ten ones.</li><li>Model the numbers from 11 to 19 as composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.</li><li>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.</li></ul>NC.1.NBT.2
- 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 <.NC.1.NBT.3
- 2.
Use place value understanding and properties of operations.
- 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:<ul><li>A two-digit number and a one-digit number</li><li>A two-digit number and a multiple of 10</li></ul>NC.1.NBT.4
- 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.5
- 6.
Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90, explaining the reasoning, using:<ul><li>Concrete models and drawings</li><li>Number lines</li><li>Strategies based on place value</li><li>Properties of operations</li><li>The relationship between addition and subtraction</li></ul>NC.1.NBT.6
- 4.
Measurement and Data
Measure lengths.
- 1.
Order three objects by length; compare the lengths of two objects indirectly by using a third object.NC.1.MD.1
- 2.
Measure lengths with non-standard units.<ul><li>Express the length of an object as a whole number of non-standard length units.</li><li>Measure by laying multiple copies of a shorter object (the length unit) end to end (iterating) with no gaps or overlaps.</li></ul>NC.1.MD.2
- 1.
Build understanding of time and money.
- 3.
Tell and write time in hours and half-hours using analog and digital clocks.NC.1.MD.3
- 5.
Identify quarters, dimes, and nickels and relate their values to pennies.NC.1.MD.5
- 3.
Represent and interpret data.
- 4.
Organize, represent, and interpret data with up to three categories.<ul><li>Ask and answer questions about the total number of data points.</li><li>Ask and answer questions about how many in each category.</li><li>Ask and answer questions about how many more or less are in one category than in another.</li></ul>NC.1.MD.4
- 4.
Geometry
Reason with shapes and their attributes.
- 1.
Distinguish between defining and non-defining attributes and create shapes with defining attributes by:<ul><li>Building and drawing triangles, rectangles, squares, trapezoids, hexagons, circles.</li><li>Building cubes, rectangular prisms, cones, spheres, and cylinders.</li></ul>NC.1.G.1
- 2.
Create composite shapes by:<ul><li>Making a two-dimensional composite shape using rectangles, squares, trapezoids, triangles, and half-circles naming the components of the new shape.</li><li>Making a three-dimensional composite shape using cubes, rectangular prisms, cones, and cylinders, naming the components of the new shape.</li></ul>NC.1.G.2
- 3.
Partition circles and rectangles into two and four equal shares.<ul><li>Describe the shares as halves and fourths, as half of and fourth of.</li><li>Describe the whole as two of, or four of the shares.</li><li>Explain that decomposing into more equal shares creates smaller shares.</li></ul>NC.1.G.3
- 1.
Frequently asked questions
- What grade levels do these standards cover?
- Grade 1
- When were these standards adopted?
- 2018
- Where can I read the official document?
- North Carolina Standard Course of Study K-8 Mathematics
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