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

Students write a question that compares two groups, like "Do boys and girls in our school prefer different sports?" then plan how to collect real data from a sample of people, keeping in mind that backgrounds and culture shape what questions make sense to ask.

To learn about a large group, students study a smaller sample. They explain why the sample needs to reflect the whole group and why picking people randomly gives more trustworthy results than handpicking them.

Students pick a small random sample, like surveying 50 kids in a school, then use what they find to draw reasonable conclusions about the whole group.

Students collect real data to answer a question, then use averages and spread to compare two groups. They explain why those numbers are the right tools for what they measured.

Students pick the right type of chart or graph for their data, then build it carefully so the numbers tell a clear story to anyone reading it.

Students look at the same data set and explain why two people might read it differently, factoring in who collected it and how. They practice defending one interpretation while considering whether another is just as reasonable.

Students find the chance of something happening by comparing favorable outcomes to all possible outcomes. They write that chance as a fraction, a decimal, or a percent.

Students collect real data from repeated trials to estimate how likely an event is to happen. They express that likelihood as a fraction, decimal, or percentage, then use it to make predictions.

Compound events combine two or more simple events, like flipping a coin and rolling a die. Students find the probability by counting how many outcomes in the full list match what they're looking for, then writing that as a fraction.

Students list every possible outcome for two combined events, such as flipping a coin and rolling a die, using a table or branching diagram. Then they identify which outcomes match the event they are studying.

Students set up a computer simulation to run a compound event (like flipping a coin and rolling a die) many times, then use the results to estimate how likely each outcome is.

Students find the chances of two or more events happening together, such as flipping a coin and rolling a number cube at the same time. They use lists, tables, or branching diagrams to count all the possible outcomes.

Students learn that a circle's distance around is always a little more than 3 times its width across the middle. That ratio never changes for any circle, and the number describing it is called pi.

Students calculate the distance around a circle and the space inside it, then use those numbers to solve real problems. They practice picking the right formula and checking whether their answer makes sense.

Given a slice of a circle and its center angle, students calculate how long the curved edge is and how much area the slice covers.

Students find the surface area and volume of cylinders using formulas, then explain in words why those formulas work.

Students slide or flip a shape on a coordinate grid and find the new corner points. They also explain why the moved shape stays exactly the same size and form as the original.

Students compare two shapes to decide if they are similar (same shape, different size) or congruent (exact copies), then find the scale factor that shows how much one was stretched or shrunk to match the other.

Students use a scale factor to find the missing side lengths and areas of two shapes that look the same but are different sizes, like a small triangle and a blown-up version of it.

Students use ratios to read scale drawings, such as a map or a blueprint, and to convert between units like inches and centimeters. A small measurement on paper stands for a much larger real-world distance.

Every fraction and whole number can be written as a decimal that either stops or repeats a pattern. Pi (3.14159...) is different: its decimal never stops or repeats, so students learn to use 3.14 as a close-enough stand-in.

On a number line, negative and positive versions of the same number sit on opposite sides of zero. Students learn that flipping a number's sign twice brings you back to where you started, and that zero is the one number with no opposite.

Students compare positive and negative numbers, whether written as fractions, decimals, or whole numbers, using symbols like < and > to show which is larger or smaller.

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, such as the gap between -3 and 5.

Students build a budget for a real event, sorting money into categories like food or decorations. They use positive and negative numbers to track spending, then calculate what percentage of the total each category takes up.

Students add, subtract, multiply, and divide positive and negative numbers, including fractions and decimals. They also practice raising a number to a whole-number exponent, like 3 to the power of 4.

Students find unit rates when both numbers in a ratio are fractions, such as miles per hour when distance and time are each given as a fraction. This builds on basic ratios by adding a fraction layer to the division.

Students rearrange and rewrite math expressions, using rules like the distributive property, to create equivalent forms. The numbers may include fractions, decimals, parentheses, and exponents, but the value stays the same no matter how the expression is written.

Students write and solve two-step equations and inequalities using positive and negative numbers from real-life situations. They plot the answers on a number line and explain what those answers mean in context.

Plug a number in for the variable, then follow the order of operations (exponents first, then multiplication and division, then addition and subtraction) to find the value of the expression. Rational numbers and absolute value may be part of the calculation.

Students use tables, diagrams, or equations to solve real-world problems where two quantities scale together, like comparing prices per item or mixing a recipe for a larger group.

Students calculate real-world money problems: interest on a loan, sales tax on a purchase, a tip at a restaurant, or a discount on a sale price. They work backward and forward to find the total, the missing piece, or the percent.

Students learn to show the same proportional relationship as a table, an equation, and a graph, then switch between them. They also find the unit rate hiding in each representation.

Students learn to spot proportional relationships, where one variable is always a fixed multiple of the other. They also learn to tell the difference between relationships that are proportional and those that aren't, using tables, graphs, and equations.

Students check whether two quantities grow at the same rate by looking for matching ratios in a table or by plotting points on a graph to see if they form a straight line through zero.