Grade 4 Math Practice

Solve multi-step word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.

Find all factor pairs of a whole number up to 100 and list the multiples of a given whole number up to 100.

Use the four operations to solve problems involving unknown quantities. Understand the role of parentheses in expressions.

Solve word problems involving multiplicative comparison, e.g., by solving multiplicative comparison equations and relating the problems to situations.

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern not explicitly stated in the rule.

Identify prime and composite numbers up to 100 and explain why a number is prime or composite.

Add and subtract fractions with a common denominator, e.g., by using visual fraction models and equations.

Add and subtract mixed numbers with unlike denominators by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

Add whole numbers with sums up to 1,000,000 using strategies based on place value and the properties of operations.

Compare two decimals to hundredths by reasoning about their size, using a visual model.

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2.

Use decimal notation for fractions with denominators 10 or 100, and understand the relationship between fractions and decimals.

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

Recognize and generate equivalent fractions by multiplying or dividing the numerator and denominator by the same number.

Multiply a whole number of up to four digits by a one-digit whole number, using strategies based on place value and the properties of operations.

Multiply two two-digit numbers, using strategies based on place value and the properties of operations.

Understand a fraction a/b as a multiple of 1/b. Understand a multiple of a/b as a multiple of 1/b in contexts, e.g., to represent a length 3 1/2 times as long as 1/2.

Understand the value of each digit in numbers up to 1,000,000, including comparing and ordering these numbers.

Subtract whole numbers with differences up to 1,000,000 using strategies based on place value and the properties of operations.

Understand a fraction a/b with a numerator less than or equal to b as the quantity formed by a parts of size 1/b.

Use the relationship between multiplication and division to solve division problems, including those with remainders.

Use the area model to represent and solve multiplication problems.

Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit.

Recall the facts of measurement units within a given measurement system, including the relationships between units of length, liquid volume, and mass.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Solve problems involving the area and perimeter of rectangles, including finding missing dimensions.

Identify and classify geometric figures based on their properties, including parallel and perpendicular lines, and acute, obtuse, and right angles.

Recognize and draw lines of symmetry for two-dimensional shapes.

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots.