What does a student learn in StateLouisiana,GradeGrade 7,SubjectMathematics?

Students draw, measure, and describe shapes by hand and with tools, then explain how those shapes relate to each other, such as how scaling a triangle changes its sides but keeps its angles the same.

Scale drawings show a real object shrunk or enlarged by a fixed ratio. Students use that ratio to figure out actual lengths and areas, and to redraw the same figure at a new scale.

Students draw triangles using given angle or side measurements, then figure out whether those measurements can only produce one triangle, could produce several different triangles, or make a triangle impossible to build.

When you slice through a 3D shape like a box or a pyramid, the cut face is a flat 2D shape. Students figure out what that flat shape looks like depending on the angle and direction of the cut.

Students solve everyday problems using angles, areas, and volumes. That means finding the surface area of a box, the area of a odd-shaped room, or the missing angle in a figure.

Students learn the two circle formulas: area (pi times radius squared) and circumference (pi times diameter). They use those formulas to solve real problems and explain where the formulas come from.

When two angles share a corner or a straight line, their measures follow predictable rules. Students use those rules to write a simple equation and solve for a missing angle in a diagram.

Students find the area, surface area, or volume of shapes like triangles, rectangles, prisms, and cubes. Problems use real objects, so students might calculate how much paint covers a box or how much water fills a tank.

Students learn to spot when two quantities grow at the same rate, then use that relationship to solve problems like finding the best price, converting units, or reading a graph.

Students figure out how much of something happens per one unit, like miles per hour or cost per ounce, even when the amounts involved are fractions.

Two quantities are proportional when they grow (or shrink) at a constant rate. Students identify that relationship in a table, a graph, or an equation, and use it to solve problems like comparing prices or figuring out travel time.

Students check whether two quantities are always in the same ratio by looking at a table of values or a graph. If the graph is a straight line through the origin, the relationship is proportional.

Students find the unit rate hiding in a table, graph, equation, or word problem. That one number, like "3 miles per hour," is the constant of proportionality, and it describes how the two quantities always relate.

Students write an equation to describe a proportional relationship, such as y = 7x to show that a price triples when the number of items does. The equation makes it easy to find any missing value.

Students read a graph of a proportional relationship and explain what each plotted point means in context. They pay close attention to (0, 0), which shows the starting point, and (1, r), which shows the unit rate directly on the graph.

Students use percentages to solve everyday money problems: figuring out sales tax, a restaurant tip, a store discount, or how much interest a loan earns over time.

Students practice adding, subtracting, multiplying, and dividing with negative numbers, fractions, and decimals. This extends the arithmetic they already know into numbers on both sides of zero.

Adding and subtracting positive and negative numbers, including fractions and decimals. Students place those values on a number line to show why the math works.

Adding opposite numbers always results in zero. Students recognize real-life situations where two values cancel each other out, like earning $10 and spending $10, or climbing 5 feet and descending 5 feet.

Adding a positive number moves right on the number line; adding a negative moves left. Students learn that any number plus its opposite always equals zero, then practice making sense of those moves using real situations like temperature changes or money.

Subtracting a number is the same as adding its opposite. 7 minus 3 gives the same result as 7 plus negative 3, and the gap between any two numbers on a number line equals the absolute value of their difference.

Students use shortcuts like the commutative and associative properties to add and subtract fractions, decimals, and negative numbers more efficiently. The goal is choosing a smarter path to the answer, not just following steps.

Multiplying and dividing with negative numbers, fractions, and decimals. Students learn the rules that govern these operations and apply them to solve problems that go beyond whole numbers.

Multiplying negative numbers follows the same rules as multiplying fractions. Students learn why a negative times a negative equals a positive, and they connect multiplication of signed numbers to real situations like debt or temperature.

Dividing one whole number by another always produces a fraction or whole number, never an undefined result (unless dividing by zero). A negative sign on a fraction can sit in front, on top, or on the bottom and mean the same thing.

Multiplying and dividing fractions, negatives, and decimals follows the same rules students already know from whole numbers. Students use those rules as shortcuts to solve problems faster and with fewer mistakes.

Students use long division to turn a fraction into a decimal. Every fraction either stops at a clean decimal or settles into a repeating pattern of digits.

Real-world math problems often mix whole numbers, fractions, decimals, and negatives. Students solve them using addition, subtraction, multiplication, and division, choosing the right operation for the situation.

Students rewrite math expressions into simpler or different forms without changing their value. That means combining like terms, distributing numbers across parentheses, and recognizing when two expressions say the same thing.

Students simplify and rearrange expressions that mix fractions, decimals, and parentheses inside brackets. They add, subtract, factor, and expand those expressions while keeping both sides equal.

Rewriting a math expression in a different but equal form can reveal something useful. For example, rewriting 1.05x shows at once that a price has been increased by 5%, which the original setup might hide.

Students use equations and expressions to solve real problems, like figuring out a sale price, a travel time, or a missing measurement. The focus is on setting up the math correctly, not just calculating.

Students solve everyday problems that mix whole numbers, fractions, and decimals, including negative values. They choose the most practical form for each number, switch between forms when it helps, and check whether their answer makes sense before moving on.

Students turn a word problem into an equation or inequality with a variable, then solve it. Think of finding an unknown price, distance, or time when the problem gives you enough clues to work it out.

Students set up and solve two-step equations from word problems, like finding an unknown price or distance. They also compare their algebra steps to plain arithmetic to see that both paths reach the same answer.

Students solve word problems where the answer is a range of numbers rather than one exact value, then plot those answers on a number line and explain what the range means in the context of the problem.

Random sampling means picking a small group by chance to make predictions about a larger group. Students learn to collect data that way and use it to draw reasonable conclusions about everyone in the population.

Surveying a small group can reveal patterns about a larger group, but only if that smaller group was chosen fairly. Random selection gives every person an equal shot at being picked, which makes the results trustworthy enough to draw conclusions from.

Students use data from a random sample to make predictions about a larger group, then compare several samples of the same size to see how much those predictions can shift from one sample to the next.

Students compare two groups using real data, such as surveys or measurements, and draw conclusions about how the groups differ. The focus is on reading patterns in data, not running formal tests.

Students compare two sets of data by looking at where each group clusters and how spread out the values are. They use the median or mean to find the center and note when one group is clearly higher, lower, or more variable than the other.

Students compare two groups by looking at their averages and how spread out their data is. For example, they might use survey results to decide whether seventh graders or eighth graders tend to sleep longer on school nights.

Students learn what makes an event likely or unlikely, then build simple models to predict how often it should happen and check those predictions against real results.

Probability is a number from 0 to 1 that shows how likely something is to happen. Close to 0 means it probably won't happen, close to 1 means it probably will, and right around 0.5 means it's a coin flip.

Students run an experiment many times, like flipping a coin or rolling a die, and use the results to estimate how often something will happen. The more trials they run, the closer their estimate gets to the true probability.

Students build a simple probability model, like a coin flip or spinner, to predict how often something should happen. Then they compare that prediction to what actually happened and explain why the results might not match.

When every outcome is equally likely (like rolling a fair die), students use that equal chance to calculate the probability of any result they want to find.

Students collect real data from a chance process (like flipping a coin or spinning a spinner) and use what they observe to build a model that predicts how likely each outcome is.

Students figure out the odds of two or more things happening together, like flipping a coin and rolling a die at the same time. They use lists, tables, and diagrams to map out every possible outcome.

When two things happen together (like flipping a coin and rolling a die), students find the probability by counting how many outcomes match what they want, then dividing by the total number of possible outcomes.

Students list every possible outcome for two-part events, like rolling two dice or flipping a coin and spinning a spinner. They use a table, a tree diagram, or an organized list to find every combination that makes a specific result happen.

Students design a simulation, like flipping a coin or rolling a die, to estimate how often two or more events happen together. They run the simulation repeatedly and use the results to predict real-world probabilities.