North Carolina (2028–29) grade 5 math worksheets

Work out two-step expressions in the right order.

Explain expressions using the turn-around, grouping and distributive properties.

Match expressions to pictures, words and models.

Read and write numbers to one million and know each digit's value.

Read and write decimals to thousandths and know each digit's value.

Write decimals to thousandths in standard, expanded and word form.

Explain patterns when multiplying by 1,000, 100, 10, 0.1 and 0.01 and dividing by 10 and 100.

Know a digit is worth 10 times as much as in the place to its right, and 1/10 as much as in the place to its left, thousandths to millions.

Compare and order decimals to thousandths with >, <, = and ≠.

Multiply up to three digits by two digits, with area models and the standard method.

Divide up to four digits by one digit, with remainders.

Build to long division of up to four digits by one digit.

Decide what a remainder means in a division story problem.

Solve multi-step story problems with whole numbers and all four operations.

Check that an answer makes sense by estimating.

Add and subtract decimals to thousandths, with up to six digits in all.

Multiply a decimal to hundredths by a whole number up to 4.

Divide with a whole number up to 4 and a decimal to hundredths.

Solve two-step story problems with decimals.

Check decimal answers by estimating.

Add and subtract fractions and mixed numbers with related unlike denominators: halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths.

Solve one- and two-step story problems adding and subtracting fractions and mixed numbers with related unlike denominators.

Understand a fraction as the top number divided by the bottom, with sharing stories and models; denominators 2, 3, 4, 5, 6, 8, 10 and 12.

Multiply a whole number up to 12 by a fraction or mixed number with denominators 2, 3, 4, 5, 6, 8, 10 or 12.

Multiply two fractions or mixed numbers up to 12 with halves, thirds and fourths.

Explain why multiplying by more than 1 makes a number bigger, and by less than 1 smaller.

Divide unit fractions by whole numbers, and whole numbers up to 10 by unit fractions.

Make two number patterns from two rules.

Describe how matching terms in two patterns are related.

Use pattern relationships to solve story problems.

Sort quadrilaterals into a family tree by their properties.

Know every property of a quadrilateral family belongs to its smaller families too.

Plot points on a coordinate grid.

Solve coordinate grid problems, like moving between points or finding a missing corner.

Make ordered pairs from two pattern rules and plot them.

Solve story problems using patterns plotted on a grid.

Check that a metric or customary unit conversion in a story makes sense.

Solve one- and two-step story problems converting customary units, given the conversion.

Solve one- and two-step story problems converting metric units, given the conversion.

Understand volume by filling prisms with unit cubes.

Find the volume of a box by packing it with unit cubes.

Link volume to length × width × height and to base area × height.

Use the volume formula for rectangular prisms, including story problems.

Find a missing edge length from a prism's volume.

Find the volume of solids made of two rectangular prisms with one-digit sides, in story problems.

Ask questions that need data in groups, numbers or changes over time to answer.

Tell whether a question will give data in groups, numbers or changes over time.

Plan how to collect data to answer a question.

Collect data to answer a question, including data that changes over time.

Show data on a line graph, line plot or bar graph.

Describe and compare data, draw conclusions and back them up with the data.

Spot patterns and trends in data and use them to make predictions.