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

Students keep working when a math problem gets hard, try different strategies, and ask for help when stuck. They think through their reasoning, work with others, and keep track of their own progress.

Students read a problem carefully, figure out what it's asking, and keep trying even when the first approach doesn't work. They check whether their answer actually makes sense before moving on.

Students take a real problem, turn it into numbers or symbols to solve it, then translate the answer back to make sure it actually fits the original situation.

Students build a math argument that explains why their answer makes sense, then look at a classmate's reasoning and decide whether it holds up.

Students take a real-world situation, like splitting a bill or planning a trip, and write an equation or draw a diagram to make sense of it. They check whether their math matches what actually happens.

Students choose the right tool for the problem, whether that means a ruler, a calculator, or a number line, and explain why that tool fits the job.

Students check their work carefully, use exact numbers and correct units, and say what they mean clearly enough that someone else could follow their thinking.

Students spot patterns or hidden organization in a problem and use that structure as a shortcut to the solution. Noticing that a problem breaks into familiar pieces saves time and reduces errors.

When the same steps keep showing up in a problem, students pause to ask why, then use that pattern as a shortcut they can trust later.

Rational numbers include any number that can be written as a fraction, like 1/2, -3, or 0.75. Students work with these numbers on number lines, in calculations, and in everyday situations like temperatures below zero or splitting a bill.

Students find the chance that something happens, like rolling a specific number on a die or picking a red card from a deck. They write that chance as a fraction, decimal, or percent.

Students add, subtract, multiply, and divide positive and negative numbers, including fractions and decimals. This is the year those operations stop being separate skills and start working together.

Students work with fractions, decimals, and negative numbers, understanding how they relate to each other and where they land on a number line.

Students practice turning any fraction into its decimal form by dividing the top number by the bottom. This covers fractions that don't come out to a clean decimal, like a third or a sixth.

Students work with positive and negative numbers, including fractions and decimals, placing them on a number line and using them in everyday calculations like temperatures below zero or distances between floors.

Students figure out how likely something is to happen, like rolling a certain number on a die or picking a red card from a deck. They write that chance as a fraction, decimal, or percent.

Students learn that polling a small, randomly chosen group can reliably predict what a larger group thinks or does. They practice choosing samples that avoid bias so the results hold up.

Students find the number that shows how two quantities grow together at the same rate. For example, if every hour of work earns $12, that $12 is the constant of proportionality.

Students combine and break apart expressions like 3x + 5 or 2(x + 4), using addition, subtraction, and factoring to rewrite them in simpler or more useful forms.

Students rewrite expressions into equivalent forms to make them easier to work with. For example, they expand, factor, or simplify terms so an equation is ready to solve.

Combining like terms means simplifying an expression such as 3x + 5x into 8x. Students practice spotting terms with the same variable and adding or subtracting them until they can do it quickly and accurately.

Students simplify and evaluate expressions like 3/4x + 2 or -1.5y - 7, where the numbers attached to variables are fractions or decimals. This builds the algebra skills needed to work with equations and real-world formulas.

Students write equations or inequalities with more than one step, then solve them. This means setting up the math from a word problem or situation, not just finishing an equation someone else started.

Students figure out unit rates when both numbers in a ratio are fractions, like finding miles per hour when the distance and time are each a fraction. This builds on ratio work students already know and pushes it into more complex situations.

Students figure out how much of something costs, weighs, or measures per single unit, like the price per ounce or miles per hour. They use that rate to compare options or solve everyday problems.

Students recognize when two quantities grow at a constant rate together, like miles per hour or price per item, and use that relationship to find missing values.

Students work through problems that mix ratios and percentages across more than one step, such as finding a sale price or figuring out how much of a mixture is one ingredient.

Students read and create scale drawings, using a ratio to figure out real measurements from a smaller or larger version of a shape on paper.

Students use two matching triangles on a graph to show why the slope of a line stays the same no matter where you measure it. The triangles prove the steepness is consistent across the whole line.

Students compare quantities to find a constant ratio, then use that ratio to predict missing values. For example, if two cups of flour make 12 cookies, students figure out how many cups make 60.

Students measure angles with everyday tools like a protractor and compare results to informal methods, such as folding paper or using corner references. The focus is on understanding what an angle measurement actually tells you, not just reading a number off a tool.

When two angles share a corner or sit side by side, students set up an equation to find the missing measurement. This covers pairs that add up to 90 degrees, 180 degrees, or sit directly across from each other.

Students learn how the radius, diameter, and circumference of a circle connect to each other. Understanding those relationships is the foundation for every circle calculation they'll see in math class.

Students calculate how much space a circle covers and how far it is around the edge. Both formulas use pi, so this is where that number finally shows up and gets put to work.

Students break apart shapes like triangles, rectangles, and circles to find how much space a flat figure covers or how much surface wraps around a 3-D object.

Students calculate how much space fits inside a box, a stack of identical flat layers, or a cylinder. They apply formulas using side lengths, base area, and height to find the answer in cubic units.

Students learn that probability is a number between 0 and 1 that describes how likely something is to happen. They show this using fractions, decimals, or a number line.

Students estimate how likely something is to happen, like guessing there's about a 1 in 3 chance of picking a red marble from a bag. They use fractions, decimals, or percentages to express that likelihood.

Students build two kinds of probability models: ones where every outcome has an equal chance (like rolling a fair die) and ones where some outcomes are more likely than others (like a weighted spinner). They use these models to predict how often something will happen.

Students figure out how likely a single event is to happen, like rolling a specific number on a die or picking a red card from a deck. They write that chance as a fraction, decimal, or percent.

Students use addition, subtraction, multiplication, and division to solve multi-step problems with whole numbers, negatives, fractions, decimals, and percentages. Think splitting a bill, calculating a discount, or mixing positive and negative temperatures.

Adding a number to its opposite always equals zero. Students explain why, and find real examples where opposites cancel out, like a 5-degree rise followed by a 5-degree drop leaving the temperature unchanged.

Adding a positive number moves right on a number line; adding a negative number moves left. Students show why that shift lands where it does and connect the math to a real situation, like a bank balance or a temperature change.

Students use a number line to add and subtract with fractions, decimals, and negative numbers. They plot the starting value, move left or right, and read where they land to solve a real problem.

Subtracting a number is the same as adding its opposite. Students use this idea to find the distance between two numbers on a number line, treating that gap as a positive value no matter which direction it runs.

Adding and subtracting positive and negative numbers, fractions, and decimals gets easier with reliable shortcuts. Students use rules like breaking a number into parts or flipping a sign to work through problems without guessing.

Multiplying with negative numbers, fractions, and decimals gets clearer when it shows up in real situations. Students work through problems like calculating a debt, a temperature drop, or a price cut to see what the math actually means.

Dividing one whole number by another always produces a rational number, as long as the divisor isn't zero. Students show why zero can never be the bottom number in a division problem.

Multiply and divide positive and negative whole numbers, then explain what the answer means in context. Students use number lines, patterns, and other strategies to show why a negative times a negative gives a positive.

Students use rules like grouping or order of operations to multiply and divide with fractions, decimals, and negative numbers inside a real-world problem, such as splitting a bill or scaling a recipe.

Students convert fractions, decimals, and percentages back and forth by dividing the part by the whole. They also recognize that any fraction written as a decimal either stops cleanly or settles into a repeating pattern.

Students solve real-world problems that mix whole numbers, fractions, decimals, and percentages across several steps. Along the way, they switch between number forms as needed and check whether their answer makes sense using mental math.

Students rewrite math expressions into simpler or different forms using rules like the distributive property, then explain what the new form reveals about a real situation, such as a discount or a rate.

Students use rules like the distributive property to rewrite expressions, combining like terms or factoring them out to create simpler, equivalent forms. The numbers involved can be fractions or decimals, not just whole numbers.

Rewriting an expression means showing the same math relationship in a different form to make it easier to understand. Students take an expression from a real problem and rearrange or simplify it to show how the numbers and quantities connect.

Real problems get translated into equations or inequalities with a variable, then solved by applying the same operation to both sides. Students practice the logic of keeping an equation balanced while finding the unknown.

Students write and solve two-step equations to answer real-world questions, like figuring out how many hours of work it takes to earn a certain amount. Then they explain what the answer actually means in the situation.

Students write and solve inequalities to find answers within a range, like figuring out how many items you can buy without going over a budget. They learn to express and solve these using symbols such as greater than or less than.

Students spot when two quantities grow at a steady rate together, like price per item or miles per hour. They use tables, graphs, and equations to show why the relationship works and solve problems with it.

Students find the rate for one unit when both values in a ratio are fractions. For example, if a recipe uses 1/2 cup of oil for every 1/4 batch, students calculate how much oil one full batch needs.

Students find the "per one" rate hiding inside a table, graph, or equation, such as the cost per item or miles per hour, then use that rate to solve real problems.

Two quantities are proportional when they grow (or shrink) at the same steady rate. Students look at tables, graphs, or real-world situations and decide whether the relationship between two numbers stays at a constant ratio.

Students spot when two quantities grow at a constant rate together, then show that relationship using a table, a graph, or an equation to solve problems.

Reading a graph of a proportional relationship, students pick a point and explain what both numbers mean in that real situation. They also explain why the line starts at (0, 0) and what the point at x = 1 reveals about the rate per single unit.

Students use a scale drawing like a map or blueprint to figure out real measurements. They calculate actual lengths and areas from the drawing, then redraw it at a new scale.

Similar triangles show why slope stays the same no matter which two points you pick on a straight line. Students use triangle comparisons on a coordinate grid to explain why the steepness of a line never changes between any two points.

Students graph proportional relationships and read the slope as the unit rate. They also compare two proportional relationships that may be shown in different forms, like a table and a graph.

Students use ratios and percents to solve real-world problems that take more than one step, such as figuring out a sale price, a tip, or how far a car travels on a given amount of gas.

Students use a small group of people or things to make predictions about a much larger group. They also consider whether that small group is a fair stand-in for the whole.

Students learn why random sampling gives more trustworthy results than hand-picking a group. They explain how a randomly chosen sample can represent a larger population and support a valid conclusion.

Students learn that a single survey or experiment rarely tells the whole story. They practice running multiple small samples to see how much the average can shift, and use that spread to judge how trustworthy any one result is.

Students solve real-world problems involving angles, circles, and 3D shapes like cylinders and prisms. That means finding the area of a circle, the surface covering a box or can, or the space inside a shape built from simpler pieces.

Students measure angles by counting how many times a chosen unit fits inside the opening, like using a small wedge shape instead of a protractor. This builds the idea that any angle can be measured by repeating a smaller unit.

Students use a protractor to measure angles and record the result in whole-number degrees. This is the same tool and skill used any time an exact angle needs to be read, not estimated.

Students find missing angles in a figure by writing and solving equations. They use angle relationships, like two angles that add up to 90 or 180 degrees, to work out the unknown.

Students learn where the formulas for a circle's circumference and area come from by measuring the distance around circles and comparing it to the diameter. They see how pi connects those measurements.

Students use the formulas for a circle's area and circumference to solve real-world problems, like finding how much grass fits inside a circular garden or how far a wheel travels in one rotation.

Students find the total outside area of 3D shapes like boxes and soup cans. They add up every face or curved side to get one final measurement.

Students slice through 3D shapes (like a pyramid or a sphere) and identify the flat shape the cut reveals. A straight cut through a cylinder, for example, might show a circle or a rectangle depending on the angle.

Students figure out how much space fits inside a cylinder or a rectangular prism, like a can or a box, by working through real measurement problems.

Students figure out how likely something is to happen, like rolling a certain number on a die or drawing a card, by building a simple model and checking whether it matches real results.

Students write the chance of something happening as a number from 0 to 1. A number near 0 means it probably won't happen, near 1 means it probably will, and around 1/2 means it's a coin flip.

Students run an experiment many times, like flipping a coin, and track how often each result happens. The more trials they run, the closer their results get to the probability you'd predict on paper.

Students build a simple probability model, like flipping a coin or rolling a die, then compare what they predicted would happen with what actually happened. If the results look different, they explain why.

Students build a model that treats every outcome as equally likely, then use it to calculate the probability of a specific event. For example, rolling a number cube where each face has the same chance of landing up.

Students collect real data from an experiment, like flipping a coin or spinning a spinner, then use the results to build a model that predicts how often each outcome is likely to happen.

Students compare two groups using charts, graphs, or number summaries to make reasonable guesses about what's true for the larger population each group represents.