South Carolina 5th grade math standards

Explain how the value of a digit in a multi-digit number changes if the digit moves one or more places to the left or right in the base ten system.

Use a strategy to compute the quotient of a multi-digit whole number dividend divided by a two-digit whole number divisor, with and without remainders, to include real-world situations.

Read, write, and represent multi-digit numbers from 0 to 999 with decimals to the thousandths place.

Use a strategy to multiply a one-digit whole number by a decimal to the hundredths and divide a decimal to the hundredths (dividend) by a one-digit whole number (divisor). Justify the calculation.

Round decimal numbers up to 999 with decimals to the thousandths place to the nearest hundredth, tenth, or whole number.

Use a strategy to compute the product of a two- or three-digit factor times a two-digit factor to include real-world situations.

Use a strategy to compute sums and differences of decimal numbers to the hundredths

Use patterns to explain the exponents when multiplying and dividing by powers of 10, not to exceed the thousandths place.

Given the unit equivalencies, convert within a single system of measurement from larger units to smaller units and smaller units to larger units for length, weight, liquid volume, and time.

Represent the probability of a simple event as 0, a fraction, or 1.

Solve problems involving area and perimeter of composite figures by decomposing with rectangles.

Describe data by determining the range and mode, including whole numbers, fractional data, and decimal data.

Analyze categorical and numerical data in graphical displays to make predictions or draw conclusions.

Estimate and measure the volume of a right rectangular prism with whole-number side lengths by filling it with unit cubes.

Solve two-step, real-world situations using whole number and fractional data represented in tables, line graphs, scaled bar graphs, or dot plots.

Estimate and measure lengths to the nearest eighth of an inch or nearest millimeter.

Use a strategy to multiply a fraction by a fraction or a fraction by a whole to include real-world situations.

Use a strategy to compute sums and differences of fractions and mixed numbers with unlike denominators and justify the sum or difference to include real-world situations.

Compare fractions and mixed numbers with like and unlike denominators of 2, 3, 4, 5, 6, 8, 10, 12, 20, 25, and 100 using equivalence to create a common denominator.

Determine the greatest common factor (GCF) of two numbers both less than or equal to 50 to simplify a fraction into its standard form.

Interpret and represent division of a whole number dividend by a unit fraction divisor and a unit fraction dividend by a whole number divisor and apply to real-world situations.

Determine the least common multiple (LCM) to find a common denominator.

Identify a rule that can describe the pattern from the data of a function table and write it as an expression.

Translate a two-step real-world situation into a numerical expression using parentheses as grouping symbols and evaluate the expression.

Represent mathematical and real-world situations by graphing, labeling, and interpreting points in the first quadrant of the coordinate plane.

Identify the origin, x-axis, and y-axis in the coordinate system. Write, plot, and label ordered pairs, including values in a function table, in the first quadrant of the coordinate plane.