What does a student learn in StateMississippi,GradeGrade 8,SubjectMathematics?

Shapes are congruent when they match exactly and similar when one is a scaled version of the other. Students use hands-on tools or software to see how flipping, sliding, rotating, or resizing a shape affects its size and angles.

Students test what happens to a shape when it slides, flips, or turns. They confirm that the shape stays the same size and that its sides and angles stay equal through each move.

Sliding, flipping, or rotating a shape moves its lines and segments without stretching or shrinking them. A segment that measured 5 cm before a move still measures 5 cm after.

Rotations, reflections, and slides move a shape to a new position without changing its angles. Each angle in the original figure matches exactly in the moved figure.

When two parallel lines are moved, rotated, or flipped as part of a transformation, they stay parallel. Transformations change a shape's position or orientation, but parallel lines never stop being parallel.

Two shapes are congruent when one can be flipped, turned, or slid to land exactly on the other. Students identify those moves and describe the steps that match one shape to its twin.

Students describe exactly what happens to a shape's corner points on a grid after it's slid, turned, flipped, or resized. They use the coordinates to show where each point started and where it ended up.

Two shapes are similar if one can be flipped, slid, turned, or stretched to match the other. Students identify what moves connect two similar shapes and describe those steps in order.

Students figure out rules about triangle angles and parallel lines by reasoning through examples, not memorizing formulas. They use what they find to explain why two triangles have the same shape even when one is larger.

The Pythagorean Theorem is a rule about right triangles. Students use it to find a missing side length when they know the other two, and to check whether a triangle actually has a right angle.

Students explain why the Pythagorean Theorem works, not just how to use it. They show why the three sides of a right triangle follow the rule a² + b² = c², and why a triangle with sides that fit that rule must have a right angle.

Students use the rule that connects the three sides of a right triangle to find a missing side length. This shows up in real problems like finding a diagonal distance across a room or the height of a ramp.

Students use the Pythagorean Theorem to find the straight-line distance between two points plotted on a grid. They treat the horizontal and vertical gap between the points as the two shorter sides of a right triangle, then solve for the diagonal.

Students calculate the volume of rounded 3-D shapes like cans, funnels, and balls. They apply the right formula for each shape to solve real problems involving capacity or size.

Students learn the formulas for finding the volume of rounded 3-D shapes like cans, funnels, and balls. Then they use those formulas to solve practical problems involving how much space those shapes hold.

Irrational numbers like pi or the square root of 2 cannot be written as a simple fraction. Students learn to place them on a number line by finding the two familiar fractions they fall between.

Students learn that some numbers, like pi or the square root of 2, never settle into a repeating pattern when written as decimals. Fractions and whole numbers always do repeat or terminate, and students practice converting those repeating decimals back into fractions.

Students find where irrational numbers like pi or square roots land on a number line by figuring out which two fractions or decimals they fall between. They use that range to compare sizes and estimate values.

Exponents and roots show up in equations at this level. Students learn what it means to square a number, take a square root, and use negative or zero exponents, then apply those skills to solve problems.

Working with exponents means knowing the rules for multiplying, dividing, and raising powers to other powers. Students use those rules to rewrite expressions like 3 to the fifth divided by 3 squared into a simpler equivalent form.

Students solve equations like x² = 25 or x³ = 8 by finding the square root or cube root. They recognize that some roots land on clean whole numbers, and that others, like the square root of 2, go on forever without repeating.

Scientific notation turns huge or tiny numbers into a compact form: one digit multiplied by a power of 10. Students use that form to compare quantities, like figuring out how many times larger one number is than another.

Adding, subtracting, multiplying, and dividing numbers written in scientific notation. Students also read scientific notation from a calculator and pick sensible units when measuring very large or very small quantities.

Proportional relationships, graphs of lines, and linear equations all describe the same kind of steady change. Students learn to move between all three, seeing how a table of values, a straight line on a graph, and an equation like y = 2x are different ways to say the same thing.

Students graph proportional relationships and read the slope as the unit rate. They compare two proportional relationships even when one is shown as a table and the other as a graph or equation.

Similar triangles show why the steepness of a straight line stays the same no matter which two points you measure. Students use that idea to build the equations that describe any line on a graph.

Solving linear equations means finding the value that makes both sides of an equation balance. Students also work with pairs of equations at once, finding the one answer that satisfies both at the same time.

Students figure out the value of an unknown in equations like 3x + 5 = 20. They learn to handle equations that have one solution, no solution, or solutions that work for any number.

Solving a linear equation always ends one of three ways: one answer, no answer, or every number works. Students simplify the equation step by step until they can see which case they have.

Solving equations where the numbers include fractions or decimals, and where students first need to expand parentheses and combine similar terms before finding the answer.

Two equations together can narrow down one exact answer. Students find the value of two unknowns at once by looking for the point where two lines on a graph cross, or by working through the equations with algebra.

Two straight lines on a graph can cross at one point. That crossing point is the answer to both equations at once, because it's the only spot that works for both lines.

Two lines drawn on a graph can cross at one point, run parallel and never meet, or overlap completely. Students find that crossing point using algebra or a graph, and learn to spot some answers just by looking at the equations.

Students solve everyday problems that require two equations working together, like figuring out the price of two items when you know what different combinations cost. They find the one pair of numbers that satisfies both equations at once.

Students look for patterns between two sets of data to see if one thing seems related to another, like whether more study time connects to higher test scores. They read graphs and tables to describe what the relationship looks like.

Students plot two related measurements on a graph, such as height and shoe size, then describe what the pattern shows. They look for whether the two quantities rise together, move in opposite directions, or form a curve.

Students draw a best-fit line through a scatter plot and judge how well it matches the data by checking how close most points fall to that line.

Students use a line drawn through a scatter plot to make predictions, then explain what the slope and starting point of that line mean in real life, like how much a price rises for each added year or what value the data starts at.

Students build a table that cross-references two yes/no or category-type questions from the same group of people, then use the percentages in each row or column to decide whether the two categories seem connected.

A function is a rule that pairs each input with exactly one output. Students identify whether a relationship is a function, evaluate it for given inputs, and compare how two functions behave.

A function is a rule where every input has exactly one output. Students read graphs and tables to check that each input value points to one result, not several.

Students look at two functions shown in different forms, such as an equation and a graph, and compare what they reveal. They might identify which function grows faster or has a higher starting value.

The equation y = mx + b always makes a straight line on a graph. Students learn to recognize that pattern as a linear function, and identify other equations whose graphs curve or bend instead.

Students find the starting value and steady rate of change in a straight-line relationship, whether it comes from a table, a graph, or a word problem, and explain what both numbers mean in context.

Students read a graph to describe what's happening between two quantities, such as whether values are rising, falling, or curving. They also sketch a graph from a verbal description, turning words into a visual picture of that relationship.