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

Students draw and build shapes by hand, then explain how those shapes relate to each other, like what changes when you scale a triangle up or slice a 3-D solid into cross-sections.

Scale drawings use a ratio to shrink or enlarge real objects onto paper. Students read that ratio to calculate actual distances and areas, then redraw the same figure at a new scale.

Students draw triangles using specific angle and side measurements, then figure out whether those measurements produce exactly one triangle, several possible triangles, or no triangle at all.

Students slice through 3-D shapes (like a box or a pyramid) and identify the flat shape the cut reveals. A straight cut through a box makes a rectangle; an angled cut through a pyramid might make a triangle.

Students solve problems using the angles, areas, and volumes of real shapes like triangles, boxes, and cylinders. The work connects classroom math to measurements students actually encounter outside school.

Students learn the two key circle formulas: area (pi times radius squared) and circumference (pi times diameter). Then they use those formulas to solve real problems and explain why the two formulas are connected.

Two angles that form a straight line always add up to 180 degrees. Students use that kind of angle relationship to write a simple equation and solve for a missing angle in a diagram.

Students find the area, surface area, and volume of shapes built from triangles, rectangles, and other polygons. That includes flat figures and 3D objects like boxes and prisms.

Proportional relationships show up whenever two quantities grow or shrink at the same rate. Students learn to spot them in tables, graphs, and equations, then use that skill to solve problems like comparing prices or finding missing measurements.

Dividing one fraction by another to find a single-unit rate, like figuring out how many miles per hour when the distance and time are both fractions. Students practice this with measurements of length, area, and other quantities.

Two quantities share a proportional relationship when they change at the same rate. Students identify whether a relationship is proportional, express it as an equation like y = kx, and use that equation to solve real-world problems.

Students check whether two quantities grow at a steady rate together, like miles per hour staying constant, by looking for equal ratios in a table or a straight line through the origin on a graph.

Students find the "rate per one" hiding in a table, graph, equation, or word problem. That single number, like miles per hour or cost per item, is the constant of proportionality.

Students write an equation to show how two quantities stay in proportion, like distance and time or price and quantity. They use the constant of proportionality to connect the two values.

Students read a graph of a proportional relationship and explain what each point means in context. They pay close attention to (0, 0) and the point that shows the unit rate.

Students use percentages to solve problems that take more than one step, like figuring out a sale price after a discount, calculating sales tax, or finding simple interest on a loan.

Adding, subtracting, multiplying, and dividing with negative numbers, fractions, and decimals. Students take the fraction skills they already know and extend them to numbers below zero.

Adding and subtracting negative numbers, fractions, and decimals. Students use a number line to show why the math works, including what happens when you add a negative or subtract across zero.

Students recognize that two opposite numbers, like -5 and 5, cancel each other out to equal zero. A debt of five dollars combined with five dollars earned is a real example of this.

Adding a positive number moves right on a number line; adding a negative moves left. Students learn that any number plus its opposite always equals zero, then connect that idea to real situations like temperatures rising and falling.

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 and apply it to real situations like temperature changes or money.

Adding and subtracting rational numbers gets easier when students use shortcuts like the commutative or associative properties. Instead of solving from scratch every time, students rearrange or regroup numbers to make the arithmetic simpler.

Multiplying and dividing with negative numbers, fractions, and decimals. Students learn the rules for when an answer is positive or negative, then apply those rules to any combination of numbers.

Multiplying negative numbers follows the same rules as multiplying fractions. Students learn why a negative times a negative gives a positive, then connect those calculations to situations like debt, temperature, or elevation.

Dividing one whole number by another always produces a rational number (a fraction or integer), as long as the divisor isn't zero. Students also learn that a negative sign on a fraction can sit in front, in the numerator, or in the denominator without changing the value.

Multiplying and dividing with negative numbers, fractions, and decimals follows the same rules students already know for whole numbers. Students use those rules to solve problems faster instead of recalculating from scratch each time.

Students learn that any fraction can be written as a decimal by dividing the top number by the bottom. That decimal will either stop cleanly or settle into a repeating pattern of digits.

Real-world math problems often mix whole numbers, fractions, decimals, and negatives in the same problem. Students add, subtract, multiply, and divide across all of those number types to find a correct answer.

Students rewrite expressions into simpler or different forms using rules like the distributive property and combining like terms. The expression changes shape, but the math behind it stays the same.

Students simplify and rewrite algebraic expressions by combining like terms, factoring, and expanding. For example, they turn 2x + 4 into 2(x + 2), or simplify 3x + 5 + x into 4x + 5.

Rewriting a math expression a different way can reveal something useful. For example, rewriting 1.05p as p + 0.05p makes it easier to see that a price includes the original plus a 5% increase.

Students use equations and expressions to solve real problems, like figuring out how long a trip takes or how much something costs after a discount. The work connects the math to situations students actually encounter.

Students solve everyday problems that mix whole numbers, fractions, and decimals, including negatives. They pick the right form for each number, use properties of operations to simplify the math, and check whether the answer makes sense before moving on.

Students turn a word problem into an equation or inequality with a variable, then solve it to find the unknown quantity, such as a missing price, distance, or number of items.

Students set up and solve equations from word problems, then check whether algebra and plain arithmetic give the same answer by the same steps.

Students solve word problems where the answer is a range of values, not just one number. They plot that range on a number line and explain what it means in the problem.

Students learn to survey a small group and use those results to make reasonable predictions about a much larger group, like estimating how many kids in a whole school prefer a certain lunch by polling one classroom.

Surveying a small group can reveal patterns about a much larger group, but only if that small group is picked fairly. Students learn why random selection gives the most trustworthy results.

Students use data from a random sample to make predictions about a larger group. They run several samples of the same size to see how much their estimates shift from one sample to the next.

Students compare two groups using real data, like survey results or measurements, and draw conclusions about how the groups are similar or different.

Students look at two dot plots or box plots side by side and judge how much the data sets overlap. They measure the gap between the two midpoints and describe it in terms of how spread out each set is.

Students compare two groups (like two classrooms or two sports teams) by looking at averages and how spread out the numbers are. That comparison lets them draw reasonable conclusions about which group tends to score higher, vary more, or behave differently.

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, track how often something happens, and use that pattern to estimate how likely it is. The more trials they run, the closer the results get to the true probability.

Students build a simple probability model (like predicting a coin flip) and compare its predictions to what actually happens in real trials. When the numbers don't match, students explain why.

When every result is equally likely (like flipping a fair coin or rolling a standard die), students build a simple model and use it to calculate the chance of specific outcomes.

Students collect real data from an experiment, like flipping a coin or spinning a spinner, then use the results to build a probability model. The model reflects what actually happened, not just what was expected.

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

When two things happen together (like flipping a coin and rolling a die), students find the probability the same way they would for a single event: count the outcomes where both conditions are met, then divide by all possible outcomes.

Students list every possible outcome when two things happen at once, like rolling two dice or spinning two spinners. They use tables or branching diagrams to organize the results, then pinpoint which combinations match a specific outcome.

Students design a simple experiment, like flipping a coin or rolling a die repeatedly, to estimate how often two combined events happen together. The results stand in for real-world situations that are harder to test directly.