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 Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.
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 Multiply decimals with a product to thousandths using models, drawings, or strategies based on place value.
NC.5.NBT.7.c Divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals should be limited to hundredths.
NC.5.NBT.7.d Use estimation strategies to assess reasonableness of answers.
NC.5.NF Number and Operations – Fractions
Use equivalent fractions as a strategy to add and subtract fractions.
NC.5.NF.1 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.
NC.5.NF.1.a Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
NC.5.NF.1.b 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.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
NC.5.NF.3 Use fractions to model and solve division problems.
NC.5.NF.3.a Interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.
NC.5.NF.3.b Model and interpret a fraction as the division of the numerator by the denominator.
NC.5.NF.3.c 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 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers.
NC.5.NF.4.a Use area and length models to multiply two fractions, with the denominators 2, 3, 4.
NC.5.NF.4.b 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 Solve one-step word problems involving multiplication of fractions using models to develop the algorithm.
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.
NC.5.MD Measurement and Data
Convert like measurement units within a given measurement system.
NC.5.MD.1 Given a conversion chart, use multiplicative reasoning to solve one-step conversion problems within a given measurement system.
Represent and interpret data.
NC.5.MD.2 Represent and interpret data.
NC.5.MD.2.a Collect data by asking a question that yields data that changes over time.
NC.5.MD.2.b Make and interpret a representation of data using a line graph.
NC.5.MD.2.c Determine whether a survey question will yield categorical or numerical data, or data that changes over time.
Understand concepts of volume.
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.