North Carolina Standards
North Carolina 5th grade math standards
Every 5th grade math standard in the North Carolina Standard Course of Study: Mathematics, in North Carolina's order, with the Lux lessons that teach it.
Operations and Algebraic Thinking
- NC.5.OA.2.a
Write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving parentheses, using the order of operations.
- NC.5.OA.2.b
Write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving commutative, associative and distributive properties.
- NC.5.OA.3.a
Generate two numerical patterns using two given rules identify apparent relationships between corresponding terms.
- NC.5.OA.3.b
Generate two numerical patterns using two given rules form ordered pairs consisting of corresponding terms from the two patterns.
- NC.5.OA.3.c
Generate two numerical patterns using two given rules graph the ordered pairs on a coordinate plane.
Number and Operations in Base Ten
- NC.5.NBT.1.a
Explain the patterns in the place value system from one million to the thousandths place explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Taught inTen times, one tenth - NC.5.NBT.1.b
Explain the patterns in the place value system from one million to the thousandths place explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.
- NC.5.NBT.3.a
Read, write, and compare decimals to thousandths write decimals using base-ten numerals, number names, and expanded form.
- NC.5.NBT.3.b
Read, write, and compare decimals to thousandths compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.
- NC.5.NBT.5
Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm.
- NC.5.NBT.6
Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.
- NC.5.NBT.7.a
Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
- NC.5.NBT.7.b
Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
- NC.5.NBT.7.c
Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
- NC.5.NBT.7.d
Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
Number and Operations—Fractions
- NC.5.NF.1.a
Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Taught inFraction stories, add and subtract - NC.5.NF.1.b
Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths solve one- and two-step word problems in context using area and length models to develop the algorithm. represent the word problem in an equation.
Taught inFraction stories, add and subtract - NC.5.NF.3.a
Use fractions to model and solve division problems interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.
- NC.5.NF.3.b
Use fractions to model and solve division problems model and interpret a fraction as the division of the numerator by the denominator.
- NC.5.NF.3.c
Use fractions to model and solve division problems solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.
- NC.5.NF.4.a
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers use area and length models to multiply two fractions, with the denominators 2, 3, 4.
- NC.5.NF.4.b
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number.
- NC.5.NF.4.c
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers solve one-step word problems involving multiplication of fractions using models to develop the algorithm.
Taught inA third of it, or a third of a yard? - NC.5.NF.7
Solve one-step word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using area and length models, and equations to represent the problem.
Taught inFraction division stories
Measurement and Data
- NC.5.MD.1
Given a conversion chart, use multiplicative reasoning to solve one-step conversion problems within a given measurement system.
- NC.5.MD.2.a
Represent and interpret data collect data by asking a question that yields data that changes over time.
- NC.5.MD.2.b
Represent and interpret data make and interpret a representation of data using a line graph.
- NC.5.MD.2.c
Represent and interpret data determine whether a survey question will yield categorical or numerical data, or data that changes over time.
- NC.5.MD.4
Recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.
- NC.5.MD.5.a
Relate volume to the operations of multiplication and addition find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths.
Taught inVolume by packing cubes - NC.5.MD.5.b
Relate volume to the operations of multiplication and addition build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.
- NC.5.MD.5.c
Relate volume to the operations of multiplication and addition find volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.
Taught inTwo boxes put together
Geometry
- NC.5.G.1
Graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems.
- NC.5.G.3.a
Classify quadrilaterals into categories based on their properties explain that attributes belonging to a category of quadrilaterals also belong to all subcategories of that category.
Taught inNot only the last name - NC.5.G.3.b
Classify quadrilaterals into categories based on their properties classify quadrilaterals in a hierarchy based on properties.
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