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What does a student learn in ?

This is the year math stretches in two directions at once: numbers extend below zero into negatives, and students start using letters to stand in for numbers. Ratios and percents show up everywhere, from unit prices to recipe scaling. Students also learn to read a set of data by its middle and its spread, not just one number. By spring, students can solve a problem like "15% off a $40 shirt" and write a simple equation such as x + 7 = 12 to match a word problem.

  • Ratios and percents
  • Negative numbers
  • Variables and expressions
  • Solving equations
  • Data and graphs
  • Area and volume
Source: Mississippi Mississippi College- & Career-Readiness Standards
Year at a glance
How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.
  1. 1

    Ratios, rates, and percents

    Students start the year comparing quantities, like three cups of flour for every two cups of sugar. They use these comparisons to figure out unit prices, speeds, and percents of a number.

  2. 2

    Dividing fractions and decimals

    Students learn what it means to divide one fraction by another and why the answer is often larger than what they started with. They also practice the standard methods for dividing whole numbers and working with decimals.

  3. 3

    Negative numbers and the coordinate plane

    Students extend the number line below zero to handle temperatures, elevations, and money owed. They plot points in all four quadrants and use absolute value to talk about distance from zero.

  4. 4

    Expressions and equations with variables

    Students start using letters to stand for numbers. They write simple expressions, solve one-step equations like x plus 7 equals 12, and graph inequalities like x is greater than 3 on a number line.

  5. 5

    Area, surface area, and volume

    Students find the area of triangles and odd-shaped polygons by cutting them into familiar pieces. They also find the volume of boxes with fractional sides and use flat patterns to find the surface area of 3D shapes.

  6. 6

    Data and statistics

    Students learn what makes a question a statistical question, then collect data and display it on dot plots, histograms, and box plots. They describe a data set using its center, spread, and shape.

Mastery Learning Standards
The required skills a student should display by the end of Grade 6.
Geometry
  • Solve real-world and mathematical problems involving area, surface area

    6.G.A

    Students find the area of flat shapes, the surface area of 3-D objects like boxes and pyramids, and the volume of figures like prisms. These skills show up in real problems, not just on worksheets.

  • Find the area of right triangles, other triangles, special quadrilaterals

    6.G.1

    Students find the area of triangles, trapezoids, and other flat shapes by breaking them into rectangles or smaller triangles they already know how to measure. They use that skill to solve practical problems.

  • Find the volume of a right rectangular prism with fractional edge lengths by…

    6.G.2

    Students find the volume of a box-shaped object even when its sides include fractions. They multiply length times width times height, working through problems where a measurement might be something like 4 and a half inches rather than a whole number.

  • Draw polygons in the coordinate plane given coordinates for the vertices

    6.G.3

    Students plot shapes on a grid using coordinate pairs, then measure the lengths of the sides by comparing the numbers. They use this skill to solve problems like finding the perimeter of a real-world space drawn on a map.

  • Represent three-dimensional figures using nets made up of rectangles and…

    6.G.4

    Students unfold a 3-D shape (like a box or a pyramid) into a flat pattern of rectangles and triangles, then add up the area of each piece to find the total surface area.

Ratios and Proportional Relationships
  • Understand ratio concepts and use ratio reasoning to solve problems

    6.RP.A

    Students learn what a ratio is and use it to solve real problems, like figuring out how many cups of juice to mix with water when the recipe scales up or down.

  • Understand the concept of a ratio and use ratio language to describe a ratio…

    6.RP.1

    A ratio compares two quantities, like 3 red tiles for every 5 blue ones. Students read and write ratios using words such as "for every" and "to," and explain what those numbers mean in context.

  • Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0

    6.RP.2

    A unit rate says how much of one thing goes with exactly one of another, like miles per hour or dollars per item. Students find that single-unit amount from a ratio and use it to describe real-world comparisons.

  • Use ratio and rate reasoning to solve real-world and mathematical problems…

    6.RP.3

    Ratios and rates show up in real problems: splitting a recipe, converting miles to kilometers, or finding the best price per item. Students use charts, diagrams, and equations to work through those comparisons and find missing values.

  • Make tables of equivalent ratios relating quantities with whole-number…

    6.RP.3.a

    Students build a table of equivalent ratios, fill in any missing numbers, and plot those pairs as points on a graph. Reading across the table lets students compare two ratios side by side.

  • Solve unit rate problems including those involving unit pricing and constant…

    6.RP.3.b

    Students figure out the price of one item or the speed for one hour (or one mile) when only a bigger batch is given. It's the math behind comparing gas prices or deciding which store has the better deal.

  • Find a percent of a quantity as a rate per 100

    6.RP.3.c

    Students figure out what a percent actually means in a real number, like finding 30% of $200 or working backward from a known piece to find the whole amount.

  • Use ratio reasoning to convert measurement units

    6.RP.3.d

    Converting between units (like inches to feet or ounces to pounds) means multiplying or dividing by the right ratio. Students use that reasoning to swap between measurement units without changing what the quantity actually means.

The Number System
  • Apply and extend previous understandings of multiplication and division to…

    6.NS.A

    Dividing a fraction by another fraction builds on what students already know about multiplication. Students learn to split fractional amounts into equal groups and find how many fit, the same way they would divide whole numbers.

  • Interpret and compute quotients of fractions

    6.NS.1

    Students divide one fraction by another and explain what the answer means in a real situation. They might draw a diagram or write an equation to show their thinking.

  • Compute fluently with multi-digit numbers and find common factors and multiples

    6.NS.B

    Students practice long multiplication and division with larger numbers, then find what factors two numbers share and what multiples they have in common.

  • Fluently divide multi-digit numbers using the standard algorithm

    6.NS.2

    Students practice long division with large numbers until the steps are automatic. This means dividing numbers like 4,788 by 36 without a calculator, using the same reliable method every time.

  • Fluently add, subtract, multiply

    6.NS.3

    Students add, subtract, multiply, and divide decimal numbers like 3.47 or 12.6 using the standard written method, not just a calculator. The numbers can have digits on both sides of the decimal point.

  • Find the greatest common factor of two whole numbers less than or equal to 100…

    6.NS.4

    Finding the greatest common factor means identifying the largest number that divides evenly into two given numbers. Students also find the smallest number two values share as a multiple, then use those skills to rewrite addition problems in a simpler form.

  • Apply and extend previous understandings of numbers to the system of rational…

    6.NS.C

    Rational numbers include every whole number, fraction, and negative number students have seen so far. In sixth grade, students pull all of those together into one number system and learn to place them, compare them, and use them in the same problems.

  • Understand that positive and negative numbers are used together to describe…

    6.NS.5

    Positive and negative numbers describe opposites: money earned vs. spent, floors above vs. below ground, temperatures above vs. below freezing. Students read and write these numbers in real situations and explain what zero means in each one.

  • Understand a rational number as a point on the number line

    6.NS.6

    Negative numbers have a place on the number line too, not just positive ones. Students learn to plot fractions, decimals, and negative numbers on a number line and locate points on a grid using coordinates that can go into negative territory.

  • Recognize opposite signs of numbers as indicating locations on opposite sides…

    6.NS.6.a

    Negative and positive versions of the same number sit on opposite sides of zero on a number line. Negating a number twice lands back where you started, so -(-3) equals 3, and zero is its own opposite.

  • Understand signs of numbers in ordered pairs as indicating locations in…

    6.NS.6.b

    Two points on a coordinate grid that share the same numbers but have opposite signs are mirror images of each other. Students learn to spot that relationship and use it to find where a point lands without plotting every step.

  • Find and position integers and other rational numbers on a horizontal or…

    6.NS.6.c

    Students place whole numbers, fractions, and decimals on a number line and locate points on a grid using two coordinates. This builds the foundation for reading graphs and maps in later math.

  • Understand ordering and absolute value of rational numbers

    6.NS.7

    Students learn to place positive and negative numbers in order on a number line and understand that absolute value measures how far a number sits from zero, regardless of direction.

  • Interpret statements of inequality as statements about the relative position of…

    6.NS.7.a

    Students read an inequality like, 3 < 5 and explain what it means on a number line: the number on the left sits further to the left, making it the smaller value.

  • Write, interpret, and explain statements of order for rational numbers in…

    6.NS.7.b

    Students read and write comparisons between positive and negative numbers tied to real situations, like explaining why -3 degrees is colder than -1 degree. They describe what the order means, not just which symbol to use.

  • Understand the absolute value of a rational number as its distance from 0 on…

    6.NS.7.c

    Absolute value measures how far a number sits from zero, regardless of direction. Students use this idea to make sense of real-world quantities like a temperature below freezing or a bank balance in the negative.

  • Distinguish comparisons of absolute value from statements about order

    6.NS.7.d

    Students learn that saying -10 is farther from zero than -3 (absolute value) is different from saying -3 is greater than -10 (order). Both facts are true, but they answer different questions.

  • Solve real-world and mathematical problems by graphing points in all four…

    6.NS.8

    Students plot pairs of numbers on a full coordinate grid, including negative sides, to find the distance between two points that share a row or column.

Expressions and Equations
  • Apply and extend previous understandings of arithmetic to algebraic expressions

    6.EE.A

    Reading and writing expressions with variables builds on the arithmetic students already know. Instead of solving for a single answer, students start using letters to represent unknown values in equations.

  • Write and evaluate numerical expressions involving whole-number exponents

    6.EE.1

    Students write and solve expressions that use exponents, like 2 to the 4th power, and calculate the result. This is the shorthand mathematicians use instead of writing out long strings of repeated multiplication.

  • Write, read, and evaluate expressions in which letters stand for numbers

    6.EE.2

    Expressions swap a number for a letter, like writing 3x instead of 3 times an unknown value. Students write, read, and solve those expressions by plugging in numbers for the letter.

  • Write expressions that record operations with numbers and with letters standing…

    6.EE.2.a

    Writing a variable expression means replacing a word problem's action with math symbols. Students turn phrases like "five more than a number" into expressions like x + 5.

  • Identify parts of an expression using mathematical terms

    6.EE.2.b

    Students learn the vocabulary for reading math expressions: a number multiplied by a variable is called a term, the number in front is the coefficient, and two terms added together form a sum. Knowing these names helps students talk precisely about what each part of an expression does.

  • Evaluate expressions at specific values of their variables

    6.EE.2.c

    Students plug a number in for a variable and calculate the result, following the standard order of operations: exponents first, then multiplication and division, then addition and subtraction. This comes up often in real-world formulas like finding area or speed.

  • Apply the properties of operations to generate equivalent expressions

    6.EE.3

    Students rewrite math expressions into simpler or different forms using rules like the distributive property. For example, 3(x + 4) becomes 3x + 12. Both versions say the same thing with different arrangements.

  • Identify when two expressions are equivalent

    6.EE.4

    Two expressions are equivalent when they always produce the same result, no matter what number you plug in. Students recognize when different-looking math expressions are secretly the same.

  • Reason about and solve one-variable equations and inequalities

    6.EE.B

    Students learn to solve equations and inequalities with one unknown, like finding what number makes 3x = 12 true or deciding which values satisfy x > 5. They practice setting up and checking solutions using real situations.

  • Understand solving an equation or inequality as a process of answering a…

    6.EE.5

    Students test whether a number makes an equation or inequality true by swapping it in for the variable and checking both sides. It's like asking, "Does plugging in 4 actually balance this?"

  • Use variables to represent numbers and write expressions when solving a…

    6.EE.6

    Students use a letter like x to stand in for an unknown number, then build expressions or equations that describe a real situation. The letter isn't just a placeholder; it can represent one specific mystery number or a whole range of values.

  • Solve real-world and mathematical problems by writing and solving equations of…

    6.EE.7

    Students write a simple equation to match a real problem, then solve it. They practice both kinds: adding a number to the unknown, and multiplying the unknown by a number.

  • Write an inequality of the form x > c or x < c to represent a constraint or…

    6.EE.8

    Students write inequalities like x > 5 or x < 10 to describe real-world limits, such as a minimum age or a speed cap. Then they show all the possible answers on a number line, because an inequality has no single solution.

  • Represent and analyze quantitative relationships between dependent and…

    6.EE.C

    Students learn to spot how two changing values connect, like how total cost changes as the number of items grows. They write and interpret equations that show what happens to one value when the other shifts.

  • Use variables to represent two quantities in a real-world problem that change…

    6.EE.9

    Students pick two quantities that change together (like hours worked and money earned), write an equation showing how one depends on the other, then check whether a table and a graph tell the same story as that equation.

Statistics and Probability
  • Develop understanding of statistical variability

    6.SP.A

    Students learn why data sets rarely give one tidy answer. They look at how spread out or clustered numbers are and use that to ask better questions about what the data actually shows.

  • Recognize a statistical question as one that anticipates variability in the…

    6.SP.1

    A statistical question expects different answers from different people or sources. "How old are students in this school?" is statistical. "How old am I?" is not.

  • Understand that a set of data collected to answer a statistical question has a…

    6.SP.2

    A data set has a pattern to it. Students learn to describe that pattern by finding the middle value, seeing how spread out the numbers are, and noticing the overall shape of the data when it's displayed on a graph.

  • Recognize that a measure of center for a numerical data set summarizes all of…

    6.SP.3

    A measure of center, like the mean or median, gives one number that represents a whole data set. A measure of variation, like the range, gives one number that shows how spread out those values are.

  • Summarize and describe distributions

    6.SP.B

    Students read a set of data and describe its shape, center, and spread. They explain what the numbers reveal about the real-world situation behind them.

  • Display numerical data in plots on a number line, including dot plots…

    6.SP.4

    Students organize a set of numbers into a visual chart on a number line. Dot plots, histograms, and box plots are three ways to show where data clusters, spreads out, or has gaps.

  • Summarize numerical data sets in relation to their context, such as by

    6.SP.5

    Numerical data sets are collections of numbers gathered from real situations, like survey results or measurements. Students learn to summarize what those numbers show by describing the center, the spread, and any patterns worth noting.

  • Reporting the number of observations

    6.SP.5.a

    Students count how many data points are in a data set and report that total. It's the first step in describing what the data shows.

  • Describing the nature of the attribute under investigation, including how it…

    6.SP.5.b

    Students explain what a data set is actually measuring, such as height in inches or wait time in minutes, and describe how that measurement was collected.

  • Giving quantitative measures of center

    6.SP.5.c

    Students find the middle value or average of a data set, then measure how spread out the numbers are. They also explain what the pattern means and call out any numbers that look surprisingly high or low.

  • Relating the choice of measures of center and variability to the shape of the…

    6.SP.5.d

    Students learn when to use the mean versus the median to describe a data set, depending on whether the data is spread out evenly or skewed by a few unusual values.

Common Questions
  • What math will students work on this year?

    Students work with ratios and percents, divide fractions, and start using negative numbers on a number line. They also write simple equations with a letter standing for an unknown, find the area of triangles, and summarize data sets using center and spread.

  • How can I help at home if ratios and percents are confusing?

    Use shopping trips and recipes. Ask how much three bags cost if one bag is $4, or what 20% off a $30 shirt comes to. Five minutes of talking through the numbers out loud builds the kind of reasoning the year is built on.

  • What does dividing fractions actually mean?

    Students learn that dividing by a fraction asks how many of that fraction fit inside another number. For example, how many half-cups of rice fit in two cups. Drawing it on paper or showing it with measuring cups helps far more than memorizing flip and multiply.

  • Why are negative numbers showing up so much this year?

    This is the first year students treat negatives as real numbers, not just a minus sign. Temperatures below zero, money owed, and points below sea level all give students a way to picture them. Practice reading a thermometer or a bank statement together.

  • How should ratios and proportional reasoning be sequenced across the year?

    Start with ratio language and tables of equivalent ratios, then move to unit rates and unit pricing, and finish with percent as a rate per 100. Saving percent for after unit rate gives students a stronger foundation and cuts down on reteaching later.

  • Which topics usually need the most reteaching?

    Dividing fractions by fractions, percent of a quantity, and absolute value tend to need a second pass. Build in spiral review for these after the initial unit, and tie absolute value back to distance on a number line each time it comes up.

  • How does the algebra work this year connect to what comes next?

    Students write expressions with letters, evaluate them, and solve one-step equations and simple inequalities. This is the bridge to seventh grade, where they will solve multi-step equations. Push for fluency in writing an expression from a word problem before drilling the solving steps.

  • How do I know students are ready for seventh grade math?

    By spring, students should divide fractions and decimals without prompting, solve a percent problem in context, plot points in all four quadrants, and write and solve a one-step equation from a word problem. Comfort with negative numbers on a number line is the clearest readiness signal.