What does a student learn in StateLouisiana,GradeGrade 5,SubjectMathematics?

Students write number sentences like (4 + 3) x 2 and explain what each part means. They use parentheses and other grouping symbols to show the order of steps in a calculation.

Parentheses tell students which part of a math problem to solve first. Students practice reading and solving expressions like (3 + 4) x 2, where the grouping symbols change the answer.

Students write math expressions like "3 × (4 + 2)" to record a calculation, then read other expressions and explain what they mean without solving them.

Students study two number patterns side by side, figure out the rule driving each one, and describe how the patterns relate to each other.

Students follow two different counting rules to build two number sequences, then compare how the sequences relate to each other. They pair up matching numbers from each sequence and plot those pairs as points on a grid.

Students learn how the position of a digit in a number determines its value, and how each place is ten times larger than the one to its right. This covers reading, writing, and comparing numbers from thousandths up to billions.

Each digit in a number is worth 10 times more than the same digit one spot to its right and 10 times less than the same digit one spot to its left. The 4 in 400 is worth ten 4s in 40.

Students learn why multiplying by 10, 100, or 1,000 shifts digits to the left and dividing shifts them right. They also read expressions like 10³ as a shorthand for those repeated multiplications.

Students read, write, and compare decimal numbers down to the thousandths place, like 3.047 or 12.518. They use place value to say which number is larger or smaller and can express the same number in digit, word, and expanded form.

Students read and write decimal numbers like 347.392 in three ways: as a standard number, spelled out in words, and broken into each digit's value (300 + 40 + 7 + 0.3 + 0.09 + 0.002).

Students compare two decimal numbers out to the thousandths place and record which is larger, smaller, or equal using the symbols >, <, and =. The comparison is based on the value of each digit's position, not just how the numbers look.

Students practice rounding decimal numbers to a chosen place, like rounding 3.867 to the nearest tenth to get 3.9. They use what they know about place value to decide which way to round.

Students add, subtract, multiply, and divide numbers like 3,847 or 12.63. The work covers large whole numbers and decimals out to the hundredths place, the second digit after the decimal point.

Students multiply large numbers by hand using the standard stacking method, working through each digit step by step. This is the same process most adults learned in school, carried out quickly and accurately without a calculator.

Students divide large numbers (up to four digits) by a two-digit number and show how they got the answer. They might use an area model, a diagram, or repeated subtraction to explain their thinking.

Students add, subtract, multiply, and divide decimal numbers like $3.75 or $12.40. They use place value and models to work through the math, then write a sentence or two explaining how they got the answer.

Adding and subtracting fractions with different denominators, like 1/2 and 1/3. Students rewrite each fraction so both share the same denominator, then add or subtract the numerators.

Students add and subtract fractions that have different bottom numbers, like 1/2 + 1/3, by rewriting them so both fractions share the same bottom number first. This works with mixed numbers too, like 2 1/4 + 1 3/5.

Word problems ask students to add or subtract fractions with different denominators. Students find a common denominator, solve the problem, and check whether the answer makes sense.

Students solve story problems that require adding or subtracting fractions with different bottom numbers, such as 1/2 plus 1/3. They use drawings or equations to find the answer and explain their work.

Students check whether a fraction answer makes sense by comparing it to familiar fractions like 1/2 or 1. If the answer seems too big or too small, they use that instinct to catch mistakes before moving on.

Students use what they already know about multiplication and division to work with fractions, including multiplying a fraction by a whole number or another fraction and dividing fractions in real situations.

When you divide 7 cookies among 3 people, the answer is 7/3. Students learn that fractions are just division in disguise, then solve word problems where sharing or splitting whole numbers gives a fraction or mixed number as the answer.

Multiplying a fraction by another fraction or a whole number. Students find a part of a part, like figuring out what half of three-quarters actually is, and learn why the answer is often smaller than the numbers they started with.

Students learn to multiply a fraction by a whole number by splitting that whole number into equal parts and taking only some of them. For example, 2/3 times 6 means dividing 6 into 3 equal parts and keeping 2 of them.

Students build a drawing or diagram to show what happens when one fraction is multiplied by another, then write a short real-life story that matches the math.

Students figure out the area of a rectangle that has fraction measurements on its sides, such as 2/3 by 3/4 of an inch. They use small fraction-sized squares to fill the rectangle and confirm that tiling gives the same answer as multiplying the two side lengths.

Students find the area of a rectangle by multiplying two fractional side lengths, such as 2/3 by 3/4. The rectangle itself shows why the multiplication works.

Multiplying by a fraction resizes a number the way zooming in or out changes a photo. Students figure out whether a product will be larger or smaller than the starting number before they calculate.

Students predict whether a multiplication answer will be bigger or smaller than the starting number by looking at the other factor, without doing the actual math. If you multiply by less than 1, the result shrinks; if you multiply by more than 1, it grows.

Multiplying a number by a fraction bigger than 1 makes the result larger, not smaller. Students explain why that happens, connecting it to what they already know about multiplying by whole numbers.

Students explain why multiplying a number by a fraction less than 1 makes the answer smaller than what you started with. For example, half of 8 is only 4, because you are taking a piece of the original, not the whole thing.

Multiplying a fraction by a whole number over itself (like 3/3) keeps the fraction's value the same. Students learn why 1/2 and 3/6 are equal: multiplying by a form of 1 changes the look, not the amount.

Students multiply fractions and mixed numbers to solve real-life problems, like finding the area of a room or scaling a recipe. They may draw diagrams or write equations to show their thinking.

Dividing a fraction like 1/2 by a whole number, or dividing a whole number by a fraction like 1/3. Students learn what happens when you split a fraction into equal groups or figure out how many fractions fit inside a whole number.

Dividing a fraction by a whole number means splitting it into even smaller pieces. Students figure out, for example, what 1/3 divided by 4 actually equals and calculate the answer.

Dividing a whole number by a fraction (like 4 divided by 1/2) asks how many of those fraction-sized pieces fit into that whole number. Students solve these problems and explain what the answer means.

Divide a fraction by a whole number (or a whole number by a fraction) to solve real problems, like splitting half a pizza among 3 people or figuring out how many quarter-cups fit in 2 cups. Students use drawings or equations to show their thinking.

Students practice switching between units in the same system, like converting inches to feet or grams to kilograms. The numbers change, but the amount being measured stays the same.

Students convert measurements inside the same system, like turning feet into inches or centimeters into meters, then use those conversions to solve real-world problems with more than one step.

Students read and make graphs using data they measure themselves, like line plots that show fractions. They answer real questions by looking at what the data shows.

Students plot measurement data on a number line using fractions like 1/2, 1/4, and 1/8. Then they add or subtract those fractions to answer questions about the data.

Students measure how much space a 3-D shape holds, then connect that measurement to multiplication and addition. They learn that stacking layers of unit cubes is a faster way to count total volume than adding one cube at a time.

Volume measures how much space a three-dimensional object takes up. Students learn to think about filling a box or a block with unit cubes, and to see that the number of cubes needed is what volume actually counts.

A unit cube is a cube where every side measures 1 unit. Students use unit cubes as the building block for measuring volume, the same way they use inches on a ruler to measure length.

Stacking small cubes inside a 3D shape, with no gaps or overlaps, measures its volume. However many cubes fit inside is the volume, counted in cubic units.

Students count the small cubes packed inside a 3-D shape to find its volume. They work with standard cubes measured in centimeters, inches, or feet, and sometimes cubes of other sizes.

Students find the volume of boxes and other rectangular shapes by multiplying length, width, and height. They also break apart odd shapes into smaller pieces, find each piece's volume, and add the results.

Students find the volume of a box by imagining it packed with small unit cubes, then check that counting those cubes gives the same answer as multiplying the three side lengths together.

Students use two formulas to find the volume of a box-shaped object: length times width times height, or base area times height. They practice with whole-number measurements and apply the math to real problems, like figuring out how much a storage container holds.

Students find the volume of an irregular solid by splitting it into two box-shaped pieces, calculating each piece separately, and adding the results together.

Students plot and read points on a grid using two numbers, like coordinates on a map. They use that skill to solve math problems and real-world situations.

Students read and plot points on a grid using two numbers in parentheses. The first number shows how far to move left or right, and the second shows how far to move up or down.

Students plot points on a grid to show real-world situations, like tracking distance over time, then explain what the location of each point means in that context.

Students sort flat shapes like squares, rectangles, and triangles into groups based on their sides and angles. A square counts as a rectangle here because properties overlap.

If a shape belongs to a bigger group, it has every property of that group. A square is a rectangle, so it has all the properties of rectangles too.

Quadrilaterals are four-sided shapes, and some share properties that make them part of the same family. Students sort shapes like squares, rectangles, and trapezoids by what they have in common, such as parallel sides or equal angles.