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Learning Standards Standards

What does a student learn in ?

This is the year math shifts from whole numbers into ratios, rates, and the negative numbers below zero. Students learn to compare prices per ounce, find a percent of a number, and divide fractions by fractions. They start writing short equations with letters standing in for unknowns, and they read data on graphs to spot what is typical. By spring, students can solve a problem like "if 3 pounds cost $12, what do 5 pounds cost" and explain the steps.

  • Ratios and rates
  • Percent
  • Negative numbers
  • Dividing fractions
  • Equations with variables
  • Data and graphs
Source: Maryland Maryland College and Career-Ready 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 and rates

    Students start the year comparing amounts using ratios, like 3 cups of flour for every 2 cups of sugar. They use these comparisons to find unit prices, speeds, and percents in everyday situations.

  2. 2

    Dividing fractions and decimals

    Students extend arithmetic to fractions and decimals, including problems like how many half-cup servings fit in a bag of rice. They also work with negative numbers and place them on a number line.

  3. 3

    Expressions and equations

    Students move from arithmetic to early algebra. They write and solve simple equations with a letter standing in for an unknown number, and they use expressions to describe patterns.

  4. 4

    Area, surface area, and volume

    Students find the area of triangles and other shapes, and the volume of boxes with fractional side lengths. They also unfold 3D shapes into flat patterns to measure the surface.

  5. 5

    Statistics and data

    Students close the year by collecting and summarizing data. They build graphs, find the typical value in a set of numbers, and describe how spread out the data is.

Mastery Learning Standards
The required skills a student should display by the end of Grade 6.
Standards for Mathematical Practice

  • Make Sense of Problems

    MD-MATH.MP.6.1

    Students read a problem carefully, figure out what it's actually asking, and keep trying even when the first approach doesn't work.

  • Reason Abstractly

    MD-MATH.MP.6.2

    Students take a word problem apart to find the math, solve it with numbers, then check that the answer still makes sense in the real situation it came from.

  • Construct Arguments

    MD-MATH.MP.6.3

    Students explain why their math answer is correct, using numbers or examples to back it up. They also listen to a classmate's reasoning and say specifically what holds up or where it breaks down.

  • Model with Mathematics

    MD-MATH.MP.6.4

    Students take a real-world problem, like splitting a restaurant bill or figuring out how many buses a school needs, and use math to work it out. The math connects to something that actually matters outside the classroom.

  • Use Tools Strategically

    MD-MATH.MP.6.5

    Students choose the right tool for the math problem in front of them, whether that's a calculator, a pencil, or a quick mental estimate. Knowing when to use each one is part of the work.

  • Attend to Precision

    MD-MATH.MP.6.6

    Students use the right math words, label answers with correct units (like inches or dollars), and check that their calculations are accurate.

  • Use Structure

    MD-MATH.MP.6.7

    Students learn to spot patterns and hidden structure in math problems, like noticing that multiplying by a fraction is the same operation every time, so they can solve new problems faster instead of starting from scratch.

  • Express Regularity

    MD-MATH.MP.6.8

    Students notice when the same steps keep appearing in a problem and use that pattern as a shortcut or rule. Spotting those patterns is part of how math makes sense.

K-8 Mathematics Content

  • Counting and Number

    MD-MATH.K8.6.1

    Sixth graders work with whole numbers, fractions, and negative numbers to solve problems. They use number-system reasoning to compare values, place numbers on a line, and make sense of quantities that go below zero.

  • Operations and Algebraic Thinking

    MD-MATH.K8.6.2

    Sixth graders write and solve expressions using addition, subtraction, multiplication, and division. They translate word problems into math notation and work through multi-step calculations to find answers.

  • Measurement and Data

    MD-MATH.K8.6.3

    Students read and build tables, graphs, and basic statistical summaries to make sense of real data. They use those displays to answer questions and spot patterns in what the numbers show.

  • Geometry

    MD-MATH.K8.6.4

    Students sort and measure flat shapes like triangles and rectangles alongside solid shapes like cubes and cylinders. They use what they know about angles, sides, and faces to describe what makes each shape different.

  • Ratios and Proportional Relationships

    MD-MATH.K8.6.5

    Ratio reasoning means comparing two quantities, like 3 red tiles for every 5 blue tiles, then using that relationship to solve problems. Students apply this thinking to real situations: scaling recipes, finding unit prices, or converting measurements.

Assessments
The state tests students at this grade and subject take.
State Summative

MCAP: Mathematics (Grades 3-8)

Maryland's spring summative math test for grades 3 through 8, aligned to the Maryland College and Career-Ready Standards for Mathematics.

When given:
spring
Frequency:
annual
Official source
Common Questions
  • What math will students learn this year?

    This is the year ratios and rates take center stage. Students compare quantities like 3 cups of flour to 2 cups of sugar, work with percentages, and start solving problems with variables. They also extend their work with fractions, decimals, and negative numbers.

  • How can I help my child at home if they get stuck on a word problem?

    Ask them to read the problem out loud and tell you what it is asking in their own words. Then ask what numbers matter and what the answer should look like. A quick sketch or simple table often unsticks a problem faster than another explanation.

  • What does ratio reasoning actually look like at home?

    Cooking, mixing drinks, and figuring out unit prices at the store are all ratios. Ask questions like, if two cans cost three dollars, what would five cost? Sports stats, map distances, and recipe scaling all give good five-minute practice.

  • How should I sequence the year?

    Most plans open with ratios and rates, then move into fraction division and decimal operations so students have strong number sense before algebra. Expressions and equations come next, followed by negative numbers on the number line. Statistics and area and volume work well at the end.

  • Which skills usually need the most reteaching?

    Fraction division and the meaning of negative numbers cause the most trouble. Students often memorize the flip-and-multiply rule without knowing why it works, and they confuse the size of negative numbers. Build both concepts with number lines and real contexts before pushing for speed.

  • Does my child still need to practice basic facts?

    Yes. The math this year leans hard on quick recall of multiplication facts and comfort with fractions. Five minutes of flashcards or a quick mental math warm-up in the car keeps those facts sharp without turning into a homework battle.

  • What does mastery look like by the end of the year?

    Students should solve ratio and percent problems without a template, divide fractions and explain what the answer means, and write and solve simple equations like 3x plus 4 equals 19. They should also read a data set and describe its center and spread.

  • How do I know my child is ready for the next grade?

    They can talk through a problem before solving it, check whether an answer is reasonable, and handle fractions, decimals, and percents as different ways of showing the same number. If they can explain their thinking out loud, they are in good shape.