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

Students add, subtract, multiply, and divide whole numbers to solve real problems. This cluster focuses on choosing the right operation and setting up the math, not just computing an answer.

Students learn that multiplication can express comparisons, like "35 is 5 times as many as 7." They practice translating between that kind of comparison sentence and a multiplication equation.

Word problems ask students to figure out when one amount is a certain number of times larger than another. Students choose whether to multiply or divide, then solve, rather than just finding how much more one number is than another.

Students solve multi-step word problems using addition, subtraction, multiplication, and division. They write equations with a letter for the missing number, then check whether their answer makes sense using rounding or mental math.

Students learn to break numbers apart by finding which smaller numbers multiply together to make them, and to spot patterns like skip-counting by 3s or 7s.

Students find every number that divides evenly into a given number up to 100, then decide whether that number is prime (only divisible by 1 and itself) or composite (divisible by more numbers).

Students list every pair of whole numbers that multiply together to reach a given number. For example, the factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4.

Students learn that if 4 divides evenly into 20, then 20 is a multiple of 4. It's the flip side of knowing your factors: every factor has a matching multiple.

Students decide whether a number can be divided evenly by a smaller number, like checking if 36 is a multiple of 4. This is the building block for spotting patterns in multiplication and division.

Students learn to tell whether a whole number can only be divided evenly by 1 and itself (prime) or has other divisors (composite). Think of it as sorting numbers into two groups based on how they split apart.

Students spot a rule in a number pattern and use it to predict what comes next. They also explain why the pattern works.

Students create a number or shape pattern by following a rule, then notice things about the pattern the rule never spelled out. For example, a "add 3" rule might always produce odd numbers, even though the rule never said so.

Reading and writing numbers up to one million, students learn what each digit's position actually means. A 3 in the hundreds place is worth ten times more than a 3 in the tens place.

Each position in a number is worth ten times the position to its right. The 4 in 400 is worth ten times the 4 in 40.

Students read, write, and compare large numbers up to one million in three ways: as digits, as words, and broken apart by place value. They also compare two big numbers and record which is greater, lesser, or equal using the symbols >, <, and =.

Students practice rounding large numbers to the nearest ten, hundred, thousand, or beyond. Given a number like 47,382, they decide which "round" number it's closest to based on the value of each digit.

Students add, subtract, multiply, and divide numbers in the hundreds and thousands by applying what they know about place value. The focus is on working with larger numbers accurately and understanding why each step works.

Students add and subtract large whole numbers up to one million using the standard step-by-step method, with accuracy and speed. Think six-digit numbers solved the way most adults learned in school.

Students multiply large numbers, like 1,234 times 6 or 47 times 23, by breaking them into smaller, friendlier parts. They show their thinking with drawings, grids, or equations.

Students divide numbers up to four digits by a single digit and explain how they got the answer. They show their work using arrays or area models, and connect division back to multiplication to check their thinking.

Students compare and sort fractions, figuring out which ones are equal and which are larger or smaller, even when the fractions look different on the surface.

Splitting a pizza into more slices does not change how much pizza you have. Students use fraction strips or number lines to see why 1/2 and 2/4 are the same amount, then practice writing other fractions that match.

Students compare two fractions with different top and bottom numbers to decide which is larger, smaller, or equal. They use symbols like > or < to record the result and can back up their answer with a picture of the fractions.

Students learn to add, subtract, and multiply fractions by building on what they already know about whole numbers. They work with fractions like 3/4 by seeing them as three pieces of 1/4.

Fractions are built from smaller pieces. Students learn that 3/4 means three separate one-fourth pieces added together, and they practice breaking fractions apart and putting them back together the same way they would with whole numbers.

Adding fractions means joining pieces of the same whole. Subtracting means taking pieces away. Students work with fractions that share the same whole, the way slices all come from the same pizza.

Students break one fraction into smaller pieces that add back up to the same amount, then write it as an equation. For example, 3/4 can be written as 1/4 + 1/4 + 1/4, or as 2/4 + 1/4.

Adding and subtracting mixed numbers means working with numbers like 2 and 3/4. Students add or subtract the whole number parts and fraction parts together, as long as the fractions share the same bottom number.

Students solve story problems that add or subtract fractions with the same bottom number, such as figuring out how much pizza is left after a few slices are eaten. They may draw a picture or write an equation to show their work.

Students learn to multiply a fraction by a whole number, like finding what 3 groups of 2/4 equals. They use what they already know about multiplication to work with fractions that have common denominators.

Knowing that 3/4 means three copies of 1/4, students recognize any fraction as a count of equal-sized pieces. They build fractions by stacking unit fractions the way they would count whole numbers.

Multiplying a fraction by a whole number means seeing 3 x (2/5) as three groups of two-fifths, which is the same as six copies of one-fifth. Students use this idea to solve fraction multiplication problems.

Word problems ask students to multiply a fraction by a whole number, such as finding how much juice fills 4 cups if each holds 2/3 of a liter. Students show their thinking with a picture or equation.

Students learn to read and write decimals like 0.5 or 0.75 as another way to show fractions. They also practice comparing those decimal values to decide which is larger or smaller.

Students learn that 3/10 and 30/100 are the same amount, then use that idea to add fractions like 3/10 and 4/100 by giving them a common denominator before combining them.

Students write fractions like 3/10 and 17/100 as decimals. A fraction with 10 in the bottom becomes a decimal with one place after the point; a fraction with 100 becomes two places.

Students compare two decimal numbers, like 0.3 and 0.27, and use the symbols >, =, or < to show which is greater. They explain their reasoning, often by drawing a picture or grid to show both numbers side by side.

Students measure length, weight, time, and liquid using standard units, then convert between them. For example, they figure out how many inches are in two feet or how many minutes are in three hours.

Students learn how many inches fit in a foot, how many minutes make an hour, and how grams relate to kilograms. Then they convert a measurement from a bigger unit to a smaller one and record the results in a simple two-column table.

Students use addition, subtraction, multiplication, and division to solve word problems about miles, hours, gallons, pounds, and dollars. They also convert larger units into smaller ones, like turning hours into minutes, and show their work on a number line.

Students find the area and perimeter of rectangles by plugging measurements into a formula, then use that skill to solve practical problems like figuring out how much flooring a room needs or how much fencing surrounds a yard.

Students read and build graphs, charts, and line plots using measurement data. They answer questions by comparing values, finding differences, and drawing conclusions from what the data shows.

Students collect measurements written as fractions, plot each one on a number line, then use the chart to add or subtract those fractions to answer questions. Think of recording pencil lengths to the nearest quarter inch, then comparing them.

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.

Two straight lines that meet at a point form an angle. Students learn that angles are measured in degrees, where a full turn around a point equals 360 degrees.

An angle is a slice of a circle. Students learn that the size of an angle depends on how much of the circle falls between its two sides, the way a pizza slice grows as you cut it wider.

One degree is 1/360 of a full circle turn. Students use this unit to measure how wide an angle opens, the same way inches measure how long something is.

Students learn that an angle's measurement is just a count of how many one-degree turns fit inside it. A 60-degree angle, for example, is made of 60 tiny one-degree turns stacked together.

Students use a protractor to measure angles and record the degree. They also draw angles when given a specific number of degrees.

When a large angle is split into smaller angles, the pieces add up to the whole. Students use addition and subtraction to find a missing angle size, the same way they would find a missing piece of a puzzle using the numbers they already know.

Students find the area of a rectangle by multiplying its side lengths, then use that same thinking to break irregular shapes into smaller rectangles and add the pieces together.

Students break an irregular shape into simpler rectangles, find the area of each piece, and add those areas together. This skill shows up in real problems like finding the floor space of an L-shaped room.

Students learn to recognize and draw lines, angles, and shapes, then sort those shapes by what they notice, such as whether sides are parallel or corners form a right angle.

Students learn to draw and name the basic building blocks of geometry: points, lines, rays, and angles. They also spot these features inside flat shapes, telling apart right angles from sharp or wide ones, and recognizing when lines cross straight or run side by side.

Students sort flat shapes by whether their sides run parallel, meet at a corner, or form a right angle. Right triangles get their own category because one corner is exactly 90 degrees.

Students learn to spot the fold line that splits a shape into two matching halves. They also draw that line on shapes and pick out which shapes have one.