What does a student learn in StateNevada,GradeGrade 4,SubjectMathematics?

Students use addition, subtraction, multiplication, and division to solve word problems with whole numbers. The focus is on knowing which operation fits the situation, not just getting the answer.

Students learn that multiplication equations describe comparisons. The equation 35 = 5 x 7 means 35 is five times as large as 7, and students translate that kind of "times as many" statement into an equation.

Word problems ask students to figure out when one amount is a certain number of times bigger than another. Students write equations and draw pictures to solve them, and learn why "3 times as many" is a different question than "3 more than."

Students read multi-step story problems, then add, subtract, multiply, or divide to find the answer. They use a letter like n to stand for the missing number, and check whether their answer makes sense by rounding or estimating.

Factors and multiples are the building blocks of multiplication. Students learn which numbers divide evenly into a given number and which numbers a given number can produce by multiplying.

Students find every pair of numbers that multiply together to make a given number, then decide whether that number is prime (only divisible by 1 and itself) or composite (divisible by other numbers too).

Students create a number or shape pattern by following a rule, then look at what else is true about it. For example, a rule like "add 3" also produces a pattern of alternating odd and even numbers.

Students follow a rule to build a number or shape pattern, then notice things about that pattern the rule never spelled out. For example, a rule that says "add 3" produces only odd numbers, even though the rule says nothing about odd or even.

Students learn how place value works for large numbers, reading and comparing numbers up to one million, and explaining why the digit 3 in 3,000 means something very different from the 3 in 300.

Each digit in a number is worth ten times more than the same digit one spot to its right. The 4 in 400 is worth ten times the 4 in 40.

Students read, write, and compare large whole numbers in three ways: as numerals, as words, and broken into place values (like 3,000 + 400 + 7). They also use the greater than, less than, and equal signs to compare two numbers.

Rounding a big number means replacing it with a close, simpler number. Students look at the digits in a number and decide which hundred, thousand, or other place it's nearest to.

Students use what they know about place value to add, subtract, multiply, and divide numbers with more than one digit. That means working with numbers in the hundreds and thousands, not just single digits.

Students add and subtract large whole numbers the fast way, lining up digits by place value and working column by column. By the end of fourth grade, they do this without stopping to think through each step.

Students multiply large numbers, like 1,234 times 6 or 47 times 23, by breaking them into smaller pieces based on place value. They show how the multiplication works using grids, diagrams, or equations.

Students divide numbers up to four digits by a single digit and find any leftover amount. They show how they got the answer using a drawing, a grid, or an equation.

Students practice converting between units like feet and inches, pounds and ounces, or hours and minutes. They solve word problems that require switching from a bigger unit to a smaller one.

Students learn how many centimeters are in a meter, how many minutes are in an hour, and how many grams are in a kilogram. They practice rewriting a big unit as a smaller one and record the pairs in a table.

Students use addition, subtraction, multiplication, and division to solve word problems about miles, minutes, gallons, pounds, and dollars. They may work with fractions or decimals, and they draw number lines to show their thinking.

Students find the area and perimeter of rectangles by using formulas, then apply those same formulas to real situations like figuring out how much carpet a room needs or how much fencing surrounds a yard.

Students read and build graphs and line plots using data they collect or are given. They answer questions about the data, like which category had the most or how values compare.

Students record measurements like half-inch or quarter-inch lengths on a dot-plot chart, then use that chart to add and subtract fractions.

Students learn what an angle is and how to measure it in degrees. They use a protractor to find the size of angles in shapes and figures.

An angle is the opening formed when two straight lines meet at a point. Students learn to measure that opening in degrees, the same way a clock's hands spread apart from the center.

A degree is one tiny slice of a full circle turn, and there are 360 of them in a complete rotation. Students use that unit to measure how wide an angle opens.

Angles are measured in degrees. Students learn that an angle's measure equals the number of one-degree turns it takes to build it, so a 90-degree angle is made of 90 of those tiny turns stacked together.

Students learn to read a protractor and measure angles in whole-number degrees. They also draw angles to a given degree measure on their own.

When a big angle is split into smaller angles, the parts add up to the whole. Students use addition and subtraction to find a missing angle size on a diagram, the same way they would find a missing piece of a puzzle.

Students learn to recognize and draw angles, parallel lines, and perpendicular lines, then use those features to sort shapes into categories. A right angle or a pair of parallel sides becomes a clue for grouping.

Students learn to draw and name the basic building blocks of geometry: points, straight lines, line segments, rays, and angles. They also spot these shapes within figures, including where lines cross at a corner or run side by side without meeting.

Students sort flat shapes by their angles and sides, noting which shapes have corners that form a perfect square corner and which sides run parallel without ever crossing. Right triangles get their own category because one of their corners is exactly that square corner.

Students learn to spot the fold line on a shape where both halves match exactly. They also practice drawing that line themselves on letters, shapes, and simple figures.

Students practice recognizing when two fractions name the same amount and deciding which fraction is larger or smaller. The work focuses on fractions with different bottom numbers.

Students learn why 1/2 and 2/4 are the same amount even though they look different. They use diagrams to show how splitting pieces into smaller parts changes the numbers but not the total size.

Students compare two fractions with different bottom numbers to decide which is larger, smaller, or equal. They use drawings or shared denominators to show their reasoning and record the answer with a >, <, or = sign.

Students learn to add, subtract, and multiply fractions by building on what they already know about whole numbers. They work with pieces of a shape or parts of a group to see how fractions fit together.

A fraction like 3/4 is just smaller fractions added together. Students learn that 3/4 means three separate 1/4 pieces combined into one number.

Adding fractions means joining parts of the same whole; subtracting means removing parts from it. Students work with fractions that share the same whole, the way slices of one pizza can be added or taken away from the same pie.

Students break a fraction into smaller same-denominator pieces, then write an equation showing how those pieces add up to the original. They might sketch a picture to show their thinking.

Students add and subtract mixed numbers that share the same denominator, such as 2 1/4 plus 1 3/4. They practice converting mixed numbers into fractions first, or work directly with the whole and fraction parts separately.

Students solve story problems that involve adding or subtracting fractions with the same bottom number, such as figuring out how much pizza is left after sharing. They may draw a picture or write an equation to show their work.

Multiplying a fraction by a whole number means figuring out what you get when you add the same fraction several times. Students learn that 3 times one-fourth is the same as one-fourth plus one-fourth plus one-fourth.

A fraction like 3/4 is just 1/4 counted three times. Students learn to see any fraction as a unit fraction repeated, the same way 3 fours means four added three times.

Multiplying a fraction by a whole number means adding that fraction repeatedly. If 3 times 2/5 feels confusing, students think of it as three groups of one-fifth, taken twice, which gives 6/5.

Students solve story problems that involve multiplying a fraction by a whole number, such as finding how much three people each get if they share a recipe that calls for one-fourth cup of sugar.

Students learn that fractions like 3/10 can be written as decimals like 0.3, and then use that to compare numbers on a number line or place-value chart.

Students rewrite a fraction like 3/10 as 30/100, then use that swap to add two fractions that have different denominators (10 and 100). It's the same idea behind adding dimes and pennies.

Students write fractions with a 10 or 100 on the bottom as decimals. So 3/10 becomes 0.3, and 47/100 becomes 0.47.

Students compare two decimal numbers, like 0.4 and 0.37, and decide which is larger, smaller, or equal. They use symbols like > and < to record the answer and explain their thinking with a number line or grid.