Grade 4 math

Place Value & Rounding (Mixed Review)

Practice place value into the millions and rounding large numbers.

0/8

Rounding to the Nearest 10

Rounding whole numbers to the nearest ten, from 2-digit numbers (37 → 40) up to 5-digit numbers, including numbers that round up to the next hundred (196 → 200).

0/8

Rounding to the Nearest 100

Rounding whole numbers to the nearest hundred, from 3-digit numbers (362 → 400) up to 6-digit numbers, including numbers that round up to the next thousand (2,961 → 3,000).

0/8

Rounding to the Nearest 1,000

Rounding whole numbers to the nearest thousand, from 4-digit numbers (4,612 → 5,000) up to 6-digit numbers, including numbers that round up to the next ten thousand (29,640 → 30,000).

0/8

Rounding to the Nearest 10,000 & 100,000

Rounding large whole numbers to the nearest ten thousand (47,310 → 50,000) and then to the nearest hundred thousand (362,815 → 400,000), including numbers that carry (196,000 → 200,000).

0/8

Multi-Digit Addition & Subtraction (Mixed Review)

Add and subtract 4- to 6-digit numbers.

0/8

Adding 4-Digit Numbers

Addition of 4-digit numbers in columns: no regrouping first, then regrouping in one column, two columns, every column, sums over 10,000 and three addends.

0/8

Subtracting Across Zeros

Subtraction across zeros with 4-digit and 5-digit numbers: one zero (4,305 − 1,278), two zeros (5,003 − 1,876), round thousands (6,000 − 2,347), then 5-digit numbers such as 30,004 − 12,345 and 40,000 − 12,345.

0/8

Subtracting 4-Digit Numbers

Subtraction of 4-digit numbers in columns: no borrowing first, then borrowing in one column, two columns, every column, 4-digit minus 3-digit, differences under 1,000 and word problems.

0/8

Factors & Multiples

Find multiples of a number and the greatest common factor of two numbers.

0/8

Long Division (Mixed Review)

Divide multi-digit numbers by a one-digit divisor.

0/8

Multi-Digit Multiplication

Multiply multi-digit numbers.

0/8

Adding Large Numbers (5 to 6 Digits)

Addition of 5-digit and 6-digit numbers in columns: no regrouping first, then regrouping in several columns, sums over 100,000, 6-digit addends, sums over 1,000,000 and three addends.

0/8

Dividing by 10, 100 & 1,000

Division of whole numbers by 10, 100 and 1,000: 70 ÷ 10, 340 ÷ 10, 5,600 ÷ 100, 42,000 ÷ 1,000, then larger numbers, quotients with zeros (45,000 ÷ 100 = 450) and missing numbers.

0/8

Divisibility Rules

Use the rules for 2, 3, 4, 5, 6, 9 and 10 to tell whether a number divides evenly.

0/8

Division with Remainders

Divide 2-, 3- and 4-digit numbers by a 1-digit number and write the remainder.

0/8

Estimating Products & Quotients

Estimate products by rounding a factor first, and estimate quotients with compatible numbers that are easy to divide.

0/8

Long Division: 2-Digit by 1-Digit

Division of 2-digit numbers by a 1-digit divisor using long division: first with no remainder (84 ÷ 4, 72 ÷ 3, 80 ÷ 4, 56 ÷ 7), then with remainders (47 ÷ 3 = 15 R2).

0/8

Long Division: 3-Digit by 1-Digit

Division of 3-digit numbers by a 1-digit divisor using long division: first with no remainder (936 ÷ 3, 728 ÷ 4, 615 ÷ 3 with a zero in the quotient, 256 ÷ 8), then with remainders (749 ÷ 6 = 124 R5).

0/8

Long Division: 4-Digit by 1-Digit

Division of 4-digit numbers by a 1-digit divisor using long division: first with no remainder (4,862 ÷ 2, 7,348 ÷ 4, 6,024 ÷ 6 with zeros in the quotient, 2,856 ÷ 7), then with remainders (5,437 ÷ 6 = 906 R1).

0/8

Multiplicative Comparison ("Times as Many")

Solve "times as many" comparison problems and write multiplication equations as comparisons.

0/8

Multiplying & Dividing by 10, 100 & 1,000 (Mixed Review)

Multiply and divide whole numbers by 10, 100 and 1,000, then use basic facts and zeros for multiples such as 30 × 400 and 2,400 ÷ 60.

0/8

Multiply up to 4 Digits by 1 Digit

Multiply 3- and 4-digit numbers by a 1-digit number, with regrouping and word problems.

0/8

Multiplying by 10, 100 & 1,000

Multiplication of whole numbers by 10, 100 and 1,000: 6 × 10, 47 × 10, 8 × 100, 35 × 1,000, then 3-digit numbers, numbers with zeros (450 × 100) and missing factors.

0/8

Division with Partial Quotients

Divide by a one-digit number with an area model: split the dividend into friendly parts, divide each part, then add the partial quotients.

0/8

Prime & Composite Numbers

Decide whether a number is prime or composite and count its factors.

0/8

Value of a Digit in Large Numbers

Place value: the value of a digit in 4-digit numbers up to the millions (the 7 in 4,732 is worth 700), the value of the digit in a named place, digits worth 10 or 100 times as much, and expanded form.

0/8

Fraction Equivalence

Find equivalent fractions.

0/8

Fraction-Decimal Conversion (Mixed Review)

Convert between fractions and decimals.

0/8

Add & Subtract Fractions with Like Denominators (Mixed Review)

Add and subtract fractions that have the same denominator, including sums greater than 1.

0/8

Add & Subtract Mixed Numbers (Mixed Review)

Add and subtract mixed numbers with like denominators, with and without regrouping.

0/8

Adding Fractions with Like Denominators

Addition of fractions with the same denominator: 1/5 + 2/5, then sums to simplify (2/8 + 4/8 = 3/4), sums greater than 1 written as mixed numbers, hundredths, and three fractions.

0/8

Adding Mixed Numbers (Like Denominators)

Addition of mixed numbers with the same denominator: 2 1/5 + 1 2/5, then sums to simplify, fractions that add up to more than 1 (regrouping), bigger whole numbers and three mixed numbers.

0/8

Compare Fractions with Different Denominators

Compare two fractions with different denominators using common denominators and the benchmark 1/2.

0/8

Converting Decimals to Fractions

Conversion of decimals to fractions: tenths (0.7 = 7/10) and hundredths (0.23 = 23/100), then fractions in lowest terms (0.25 = 1/4, 0.6 = 3/5, 0.14 = 7/50) and decimals greater than 1 as mixed numbers (3.6 = 3 3/5).

0/8

Converting Fractions to Decimals

Conversion of fractions to decimals: tenths (7/10 = 0.7), hundredths (23/100 = 0.23, 7/100 = 0.07), then fractions such as 3/4 = 0.75 and 9/25 = 0.36, improper fractions and mixed numbers such as 2 7/10 = 2.7.

0/8

Decomposing Fractions

Break a fraction into a sum of unit fractions or of smaller fractions with the same denominator in more than one way, and split mixed numbers into wholes and a fraction.

0/8

Converting Improper Fractions to Mixed Numbers

Conversion of improper fractions to mixed numbers by division: 5/2 = 2 1/2 and 11/4 = 2 3/4, then larger numerators, answers that are whole numbers (24/6 = 4) and answers to simplify (14/4 = 3 1/2).

0/8

Mixed Numbers & Improper Fractions (Mixed Review)

Rewrite mixed numbers as improper fractions and improper fractions as mixed numbers.

0/8

Converting Mixed Numbers to Improper Fractions

Conversion of mixed numbers to improper fractions: 1 1/2 = 3/2 and 2 3/4 = 11/4, then bigger whole numbers and denominators such as 12 and 100.

0/8

Multiply a Fraction by a Whole Number

Multiply a fraction by a whole number using models, equations and word problems.

0/8

Simplifying Fractions to Lowest Terms

Simplification of fractions to lowest terms by dividing by the greatest common factor: 4/8 = 1/2, 6/9 = 2/3, then 12/36, improper fractions as mixed numbers, and denominators up to 100.

0/8

Subtracting Fractions with Like Denominators

Subtraction of fractions with the same denominator: 4/5 − 1/5, then differences to simplify (7/8 − 3/8 = 1/2), improper fractions with mixed-number answers, a whole number minus a fraction, and hundredths.

0/8

Subtracting Mixed Numbers (Like Denominators)

Subtraction of mixed numbers with the same denominator: 4 3/5 − 1 1/5 with no regrouping, then regrouping a whole (5 1/4 − 2 3/4), a whole number minus a mixed number, and answers to simplify.

0/8

Fractions with Denominators 10 & 100

Rename tenths as hundredths, add tenths and hundredths, and connect them to decimals.

0/8

Introduction to Decimals

Convert between place value and decimals, and compare decimals.

0/8

Adding & Subtracting Decimals (Mixed Review)

Add and subtract decimals to the tenths and hundredths.

0/8

Adding Decimals with Bar Charts

Read decimal values from a bar chart and add them together.

0/8

Adding Decimals on a Number Line

Use a number line to add decimals (tenths and hundredths).

0/8

Adding Decimals (Tenths & Hundredths)

Addition of decimals to tenths and hundredths: 3.2 + 4.5 without carrying, then with carrying, hundredths (2.35 + 1.48), different places (3.4 + 2.57), a whole number plus a decimal, three addends and money word problems.

0/8

Subtracting Decimals Using Expanded Form on a Number Line

Subtract decimals by breaking the number you take away into expanded form (1.4 = 1 + 0.4) and jumping back on a number line one part at a time: tenths first, then hundredths, then jumps that cross a whole number.

0/8

Subtracting Decimals (Tenths & Hundredths)

Subtraction of decimals to tenths and hundredths: 7.8 − 3.5 without borrowing, then with borrowing, hundredths (6.42 − 2.75), different places (5.6 − 2.38), a decimal from a whole number (5 − 2.37), borrowing across zeros and money word problems.

0/8

Order of Operations

Evaluate multi-step expressions using order of operations (no exponents).

0/8

Angle Measurement

Classify angles as acute, right, obtuse, or straight.

0/8

Geometry: Lines & Symmetry

Identify parallel and perpendicular lines, and lines of symmetry.

0/8

Adding Angles & Finding Missing Angles

Angle measures add: find a whole angle from its parts, or a missing part of an angle, a right angle or a straight angle.

0/8

Multiply 2-Digit Numbers with an Area Model

Use an area model and partial products to multiply two 2-digit numbers.

0/8

Area & Perimeter Formulas (Unknown Sides)

Use A = l × w and P = 2 × l + 2 × w to find area, perimeter, or a missing side of a rectangle.

0/8

Classify Triangles by Angles & Sides

Classify triangles as acute, right or obtuse by their angles, and as equilateral, isosceles or scalene by their sides.

0/8

Number & Shape Patterns

Extend number patterns that follow a rule and find later figures in growing shape patterns.

0/8

Points, Lines, Line Segments & Rays

Identify and name points, lines, line segments, rays and angles, and tell parallel, perpendicular and intersecting lines apart.

0/8

Measuring Angles with a Protractor

Read angle measures from a protractor, choosing the correct scale.

0/8

Metric Measurement Conversion

Convert between metric units of length.

0/8

Customary Units: Length, Weight & Capacity

Convert feet, inches, yards, pounds, ounces, gallons, quarts, pints and cups from larger units to smaller units.

0/8

Time: Converting Units & Elapsed Time

Convert hours, minutes, seconds, days and weeks, and find end times after an elapsed time.

0/8

Data & Graphing

Interpret data sets and find averages.

0/8

Line Plots with Fractions

Read line plots of measurements in halves, fourths and eighths, and solve problems with the data.

0/8

Word Problems

Multi-digit multiplication and division word problems.

0/8

Interpreting Remainders in Word Problems

Decide what the remainder means in a division word problem: round up, drop it, or use it as the answer.

0/8

Multi-Step Word Problems

Solve word problems that take two or three steps with addition, subtraction, multiplication and division, including problems where the remainder matters.

0/8