Grade 5 Math (North Carolina SCOS)

Number and Operations in Base Ten (NBT)

• Understand the place value system
• NC.5.NBT.1 Explain place value patterns from millions to thousandths, including multiplying and dividing by powers of ten.
• NC.5.NBT.3 Read, write, and compare decimals to thousandths as numerals, number names, and expanded form.
• Perform operations with multi-digit whole numbers
• NC.5.NBT.5 Multiply up to three-digit by two-digit whole numbers fluently using the standard algorithm.
• NC.5.NBT.6 Divide up to four-digit dividends by two-digit divisors, with remainders, using models and strategies.
• Perform operations with decimals
• NC.5.NBT.7 Compute with multi-digit whole numbers and decimals to solve real-world problems, estimating to check.

Number and Operations – Fractions (NF)

• Use equivalent fractions as a strategy to add and subtract fractions
• NC.5.NF.1 Add and subtract fractions and mixed numbers with unlike denominators, using benchmarks to estimate.
• NC.5.NF.3 Use fractions to model and solve division of whole numbers, including fraction answers.
• Apply and extend previous understandings of multiplication and division
• NC.5.NF.4 Multiply fractions and mixed numbers by fractions using area and length models.
• NC.5.NF.7 Solve one-step problems dividing unit fractions by whole numbers and whole numbers by unit fractions.

Measurement and Data (MD)

• Convert like measurement units within a given measurement system
• NC.5.MD.1 Use multiplicative reasoning and conversion charts to solve one-step unit conversion problems.
• Represent and interpret data
• NC.5.MD.2 Collect, represent, and interpret data that change over time using line graphs.
• Understand concepts of volume
• NC.5.MD.4 Recognize volume as an attribute of solid figures and measure it by counting unit cubes.
• NC.5.MD.5 Relate volume to multiplication and addition for rectangular prisms and figures made of two prisms.

Geometry (G)

• Graph points on the coordinate plane
• NC.5.G.1 Graph points in the first quadrant and interpret coordinates to solve problems.
• Classify two-dimensional figures into categories based on their properties
• NC.5.G.3 Classify quadrilaterals in a hierarchy based on their properties.